%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO556^1 : TPTP v9.3.1. Released v5.2.0.
% 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 : n016.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 11:08:43 AM UTC 2026
% Result : Theorem 138.18s 23.39s
% Output : CNFRefutation 23.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 2
% Syntax : Number of formulae : 4135 ( 22 unt; 0 typ; 1 def)
% Number of atoms : 144596 (52922 equ; 0 cnn)
% Maximal formula atoms : 10 ( 34 avg)
% Number of connectives : 224762 (93605 ~;46154 |; 10 &;84993 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 326 ( 323 usr; 135 con; 0-3 aty)
% Number of variables : 46004 (24344 ^;21650 !; 10 ?;46004 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_eps,type,
eps: ( $i > $o ) > $i ).
thf(tp_if,type,
if: $o > $i > $i > $i ).
thf(tp_sK100_SX1,type,
sK100_SX1: $i > $i ).
thf(tp_sK101_SX1,type,
sK101_SX1: $i > $i ).
thf(tp_sK102_SX0,type,
sK102_SX0: $i > $i ).
thf(tp_sK103_SX0,type,
sK103_SX0: $i > $i ).
thf(tp_sK104_SX0,type,
sK104_SX0: $i > $i ).
thf(tp_sK105_SX1,type,
sK105_SX1: $i > $i ).
thf(tp_sK106_SX0,type,
sK106_SX0: $i > $i ).
thf(tp_sK107_SX1,type,
sK107_SX1: $i > $i ).
thf(tp_sK108_SX1,type,
sK108_SX1: $i > $i ).
thf(tp_sK109_SX1,type,
sK109_SX1: $i > $i ).
thf(tp_sK10_SX1,type,
sK10_SX1: $i ).
thf(tp_sK110_SX1,type,
sK110_SX1: $i > $i ).
thf(tp_sK111_SX1,type,
sK111_SX1: $i > $i ).
thf(tp_sK112_SX1,type,
sK112_SX1: $i > $i ).
thf(tp_sK113_SX1,type,
sK113_SX1: $i > $i ).
thf(tp_sK114_SX1,type,
sK114_SX1: $i > $i ).
thf(tp_sK115_SX0,type,
sK115_SX0: $i > $i ).
thf(tp_sK116_SX0,type,
sK116_SX0: $i > $i ).
thf(tp_sK117_SX0,type,
sK117_SX0: $i > $i ).
thf(tp_sK118_SX0,type,
sK118_SX0: $i > $i > $i ).
thf(tp_sK119_SX0,type,
sK119_SX0: $i > $i ).
thf(tp_sK11_SX1,type,
sK11_SX1: $i ).
thf(tp_sK120_SX0,type,
sK120_SX0: $i > $i > $i ).
thf(tp_sK121_SX0,type,
sK121_SX0: $i > $i > $i ).
thf(tp_sK122_SX0,type,
sK122_SX0: $i > $i ).
thf(tp_sK123_SX0,type,
sK123_SX0: $i > $i > $i ).
thf(tp_sK124_SX0,type,
sK124_SX0: $i > $i ).
thf(tp_sK125_SX0,type,
sK125_SX0: $i > $i ).
thf(tp_sK126_SX0,type,
sK126_SX0: $i > $i ).
thf(tp_sK127_SX0,type,
sK127_SX0: $i > $i ).
thf(tp_sK128_SX0,type,
sK128_SX0: $i > $i ).
thf(tp_sK129_SX0,type,
sK129_SX0: $i > $i ).
thf(tp_sK12_SX1,type,
sK12_SX1: $i ).
thf(tp_sK130_SX0,type,
sK130_SX0: $i > $i > $i ).
thf(tp_sK131_SX0,type,
sK131_SX0: $i > $i ).
thf(tp_sK132_SX0,type,
sK132_SX0: $i > $i > $i ).
thf(tp_sK133_SX0,type,
sK133_SX0: $i > $i > $i ).
thf(tp_sK134_SX0,type,
sK134_SX0: $i > $i > $i ).
thf(tp_sK135_SX0,type,
sK135_SX0: $i > $i > $i ).
thf(tp_sK136_SX0,type,
sK136_SX0: $i > $i > $i ).
thf(tp_sK137_SX0,type,
sK137_SX0: $i > $i > $i ).
thf(tp_sK138_SX0,type,
sK138_SX0: $i > $i > $i ).
thf(tp_sK139_E,type,
sK139_E: $i ).
thf(tp_sK13_SX1,type,
sK13_SX1: $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_SX1,type,
sK14_SX1: $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_SX1,type,
sK15_SX1: $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_SX1,type,
sK163_SX1: $i > $i ).
thf(tp_sK164_SX1,type,
sK164_SX1: $i > $i ).
thf(tp_sK165_SX1,type,
sK165_SX1: $i > $i > $i ).
thf(tp_sK166_SX1,type,
sK166_SX1: $i > $i > $i ).
thf(tp_sK167_SX1,type,
sK167_SX1: $i > $i ).
thf(tp_sK168_SX1,type,
sK168_SX1: $i > $i ).
thf(tp_sK169_E,type,
sK169_E: $i > $i ).
thf(tp_sK16_SX1,type,
sK16_SX1: $i ).
thf(tp_sK170_E,type,
sK170_E: $i > $i ).
thf(tp_sK171_E,type,
sK171_E: $i > $i ).
thf(tp_sK172_E,type,
sK172_E: $i > $i ).
thf(tp_sK173_E,type,
sK173_E: $i > $i ).
thf(tp_sK174_E,type,
sK174_E: $i > $i ).
thf(tp_sK175_E,type,
sK175_E: $i > $i ).
thf(tp_sK176_E,type,
sK176_E: $i > $i ).
thf(tp_sK177_E,type,
sK177_E: $i > $i ).
thf(tp_sK178_E,type,
sK178_E: $i > $i > $i > $i ).
thf(tp_sK179_E,type,
sK179_E: $i > $i > $i > $i ).
thf(tp_sK17_SX1,type,
sK17_SX1: $i > $i ).
thf(tp_sK180_E,type,
sK180_E: $i > $i > $i ).
thf(tp_sK181_E,type,
sK181_E: $i > $i > $i ).
thf(tp_sK182_E,type,
sK182_E: $i > $i > $i ).
thf(tp_sK183_E,type,
sK183_E: $i > $i > $i ).
thf(tp_sK184_E,type,
sK184_E: $i > $i ).
thf(tp_sK185_E,type,
sK185_E: $i ).
thf(tp_sK186_E,type,
sK186_E: $i > $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_SX1,type,
sK18_SX1: $i > $i > $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_SX1,type,
sK19_SX1: $i > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $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_SX0,type,
sK204_SX0: $i ).
thf(tp_sK205_SX0,type,
sK205_SX0: $i ).
thf(tp_sK206_SX0,type,
sK206_SX0: $i ).
thf(tp_sK207_SX0,type,
sK207_SX0: $i ).
thf(tp_sK208_SX0,type,
sK208_SX0: $i ).
thf(tp_sK209_SX0,type,
sK209_SX0: $i ).
thf(tp_sK20_E,type,
sK20_E: $i ).
thf(tp_sK210_SX0,type,
sK210_SX0: $i ).
thf(tp_sK211_SX0,type,
sK211_SX0: $i ).
thf(tp_sK212_SX0,type,
sK212_SX0: $i > $i ).
thf(tp_sK213_SX0,type,
sK213_SX0: $i > $i ).
thf(tp_sK214_SX0,type,
sK214_SX0: $i > $i ).
thf(tp_sK215_SX0,type,
sK215_SX0: $i > $i ).
thf(tp_sK216_SX1,type,
sK216_SX1: $i ).
thf(tp_sK217_SX0,type,
sK217_SX0: $i ).
thf(tp_sK218_SX1,type,
sK218_SX1: $i ).
thf(tp_sK219_SX1,type,
sK219_SX1: $i ).
thf(tp_sK21_E,type,
sK21_E: $i ).
thf(tp_sK220_SX1,type,
sK220_SX1: $i ).
thf(tp_sK221_SX0,type,
sK221_SX0: $i ).
thf(tp_sK222_SX0,type,
sK222_SX0: $i ).
thf(tp_sK223_SX0,type,
sK223_SX0: $i ).
thf(tp_sK224_SX1,type,
sK224_SX1: $i ).
thf(tp_sK225_SX1,type,
sK225_SX1: $i ).
thf(tp_sK226_SX1,type,
sK226_SX1: $i ).
thf(tp_sK227_SX1,type,
sK227_SX1: $i ).
thf(tp_sK228_SX1,type,
sK228_SX1: $i ).
thf(tp_sK229_SX1,type,
sK229_SX1: $i ).
thf(tp_sK22_E,type,
sK22_E: $i ).
thf(tp_sK230_SX1,type,
sK230_SX1: $i ).
thf(tp_sK231_SX1,type,
sK231_SX1: $i ).
thf(tp_sK232_SX0,type,
sK232_SX0: $i ).
thf(tp_sK233_SX0,type,
sK233_SX0: $i ).
thf(tp_sK234_SX0,type,
sK234_SX0: $i ).
thf(tp_sK235_SX0,type,
sK235_SX0: $i ).
thf(tp_sK236_SX0,type,
sK236_SX0: $i ).
thf(tp_sK237_SX0,type,
sK237_SX0: $i ).
thf(tp_sK238_SX0,type,
sK238_SX0: $i ).
thf(tp_sK239_SX0,type,
sK239_SX0: $i ).
thf(tp_sK23_E,type,
sK23_E: $i ).
thf(tp_sK240_SX0,type,
sK240_SX0: $i > $i ).
thf(tp_sK241_SX0,type,
sK241_SX0: $i > $i ).
thf(tp_sK242_SX0,type,
sK242_SX0: $i > $i ).
thf(tp_sK243_SX0,type,
sK243_SX0: $i > $i ).
thf(tp_sK244_SX1,type,
sK244_SX1: $i ).
thf(tp_sK245_SX0,type,
sK245_SX0: $i ).
thf(tp_sK246_SX1,type,
sK246_SX1: $i ).
thf(tp_sK247_SX1,type,
sK247_SX1: $i ).
thf(tp_sK248_SX1,type,
sK248_SX1: $i ).
thf(tp_sK249_SX0,type,
sK249_SX0: $i ).
thf(tp_sK24_SX1,type,
sK24_SX1: $i ).
thf(tp_sK250_SX0,type,
sK250_SX0: $i ).
thf(tp_sK251_SX0,type,
sK251_SX0: $i ).
thf(tp_sK252_SX1,type,
sK252_SX1: $i ).
thf(tp_sK253_SX1,type,
sK253_SX1: $i ).
thf(tp_sK254_SX1,type,
sK254_SX1: $i ).
thf(tp_sK255_SX1,type,
sK255_SX1: $i ).
thf(tp_sK256_SX1,type,
sK256_SX1: $i ).
thf(tp_sK257_SX1,type,
sK257_SX1: $i ).
thf(tp_sK258_SX1,type,
sK258_SX1: $i ).
thf(tp_sK259_SX1,type,
sK259_SX1: $i ).
thf(tp_sK25_SX1,type,
sK25_SX1: $i ).
thf(tp_sK260_SX0,type,
sK260_SX0: $i ).
thf(tp_sK261_SX0,type,
sK261_SX0: $i ).
thf(tp_sK262_SX0,type,
sK262_SX0: $i ).
thf(tp_sK263_SX0,type,
sK263_SX0: $i > $i ).
thf(tp_sK264_SX0,type,
sK264_SX0: $i ).
thf(tp_sK265_SX0,type,
sK265_SX0: $i > $i ).
thf(tp_sK266_SX0,type,
sK266_SX0: $i > $i ).
thf(tp_sK267_SX0,type,
sK267_SX0: $i ).
thf(tp_sK268_SX0,type,
sK268_SX0: $i > $i ).
thf(tp_sK269_SX0,type,
sK269_SX0: $i ).
thf(tp_sK26_SX1,type,
sK26_SX1: $i ).
thf(tp_sK270_SX0,type,
sK270_SX0: $i ).
thf(tp_sK271_SX0,type,
sK271_SX0: $i ).
thf(tp_sK272_SX0,type,
sK272_SX0: $i ).
thf(tp_sK273_SX0,type,
sK273_SX0: $i ).
thf(tp_sK274_SX0,type,
sK274_SX0: $i ).
thf(tp_sK275_SX0,type,
sK275_SX0: $i > $i ).
thf(tp_sK276_SX0,type,
sK276_SX0: $i ).
thf(tp_sK277_SX0,type,
sK277_SX0: $i > $i ).
thf(tp_sK278_SX0,type,
sK278_SX0: $i > $i ).
thf(tp_sK279_SX0,type,
sK279_SX0: $i > $i ).
thf(tp_sK27_SX1,type,
sK27_SX1: $i ).
thf(tp_sK280_SX0,type,
sK280_SX0: $i > $i ).
thf(tp_sK281_SX0,type,
sK281_SX0: $i > $i ).
thf(tp_sK282_SX0,type,
sK282_SX0: $i > $i ).
thf(tp_sK283_SX0,type,
sK283_SX0: $i > $i ).
thf(tp_sK284_E,type,
sK284_E: $i ).
thf(tp_sK285_E,type,
sK285_E: $i ).
thf(tp_sK286_E,type,
sK286_E: $i ).
thf(tp_sK287_E,type,
sK287_E: $i ).
thf(tp_sK288_E,type,
sK288_E: $i ).
thf(tp_sK289_E,type,
sK289_E: $i ).
thf(tp_sK28_SX1,type,
sK28_SX1: $i ).
thf(tp_sK290_E,type,
sK290_E: $i ).
thf(tp_sK291_SX1,type,
sK291_SX1: $i > $i ).
thf(tp_sK292_SX1,type,
sK292_SX1: $i > $i > $i ).
thf(tp_sK293_SX1,type,
sK293_SX1: $i > $i ).
thf(tp_sK294_E,type,
sK294_E: $i > $i ).
thf(tp_sK295_E,type,
sK295_E: $i > $i ).
thf(tp_sK296_E,type,
sK296_E: $i > $i ).
thf(tp_sK297_E,type,
sK297_E: $i > $i ).
thf(tp_sK298_E,type,
sK298_E: $i > $i ).
thf(tp_sK299_E,type,
sK299_E: $i > $i ).
thf(tp_sK29_SX1,type,
sK29_SX1: $i ).
thf(tp_sK2_SX1,type,
sK2_SX1: $i > $i ).
thf(tp_sK300_SX1,type,
sK300_SX1: $i > $i ).
thf(tp_sK301_SX1,type,
sK301_SX1: $i > $i ).
thf(tp_sK302_SX1,type,
sK302_SX1: $i > $i ).
thf(tp_sK303_SX1,type,
sK303_SX1: $i > $i ).
thf(tp_sK304_SX1,type,
sK304_SX1: $i > $i ).
thf(tp_sK305_SX1,type,
sK305_SX1: $i > $i ).
thf(tp_sK306_SX1,type,
sK306_SX1: $i > $i ).
thf(tp_sK307_SX1,type,
sK307_SX1: $i > $i ).
thf(tp_sK308_SX1,type,
sK308_SX1: $i > $i ).
thf(tp_sK309_SX1,type,
sK309_SX1: $i > $i ).
thf(tp_sK30_SX1,type,
sK30_SX1: $i ).
thf(tp_sK310_SX1,type,
sK310_SX1: $i > $i ).
thf(tp_sK311_SX1,type,
sK311_SX1: $i > $i ).
thf(tp_sK312_SX1,type,
sK312_SX1: $i > $i > $i ).
thf(tp_sK313_SX1,type,
sK313_SX1: $i > $i > $i ).
thf(tp_sK314_SX1,type,
sK314_SX1: $i > $i ).
thf(tp_sK315_SX1,type,
sK315_SX1: $i > $i ).
thf(tp_sK316_SX1,type,
sK316_SX1: $i > $i ).
thf(tp_sK317_SX1,type,
sK317_SX1: $i > $i ).
thf(tp_sK318_SX1,type,
sK318_SX1: $i > $i > $i ).
thf(tp_sK319_SX1,type,
sK319_SX1: $i > $i > $i ).
thf(tp_sK31_SX1,type,
sK31_SX1: $i ).
thf(tp_sK320_SX1,type,
sK320_SX1: $i > $i > $i ).
thf(tp_sK321_SX1,type,
sK321_SX1: $i > $i > $i ).
thf(tp_sK32_SX1,type,
sK32_SX1: $i > $i ).
thf(tp_sK33_SX1,type,
sK33_SX1: $i > $i ).
thf(tp_sK34_SX1,type,
sK34_SX1: $i > $i > $i ).
thf(tp_sK35_SX1,type,
sK35_SX1: $i > $i > $i ).
thf(tp_sK36_SX1,type,
sK36_SX1: $i > $i ).
thf(tp_sK37_SX1,type,
sK37_SX1: $i > $i ).
thf(tp_sK38_E,type,
sK38_E: $i > $i > $i ).
thf(tp_sK39_E,type,
sK39_E: $i > $i > $i ).
thf(tp_sK3_SX1,type,
sK3_SX1: $i > $i > $i ).
thf(tp_sK40_E,type,
sK40_E: $i > $i > $i ).
thf(tp_sK41_E,type,
sK41_E: $i > $i > $i ).
thf(tp_sK42_E,type,
sK42_E: $i > $i > $i ).
thf(tp_sK43_E,type,
sK43_E: $i > $i > $i ).
thf(tp_sK44_E,type,
sK44_E: $i > $i > $i ).
thf(tp_sK45_E,type,
sK45_E: $i > $i > $i ).
thf(tp_sK46_E,type,
sK46_E: $i > $i > $i ).
thf(tp_sK47_E,type,
sK47_E: $i > $i > $i ).
thf(tp_sK48_E,type,
sK48_E: $i > $i ).
thf(tp_sK49_E,type,
sK49_E: $i > $i ).
thf(tp_sK4_SX1,type,
sK4_SX1: $i > $i ).
thf(tp_sK50_E,type,
sK50_E: $i > $i ).
thf(tp_sK51_E,type,
sK51_E: $i > $i ).
thf(tp_sK52_E,type,
sK52_E: $i > $i ).
thf(tp_sK53_E,type,
sK53_E: $i > $i ).
thf(tp_sK54_E,type,
sK54_E: $i > $i ).
thf(tp_sK55_E,type,
sK55_E: $i > $i > $i ).
thf(tp_sK56_E,type,
sK56_E: $i > $i ).
thf(tp_sK57_E,type,
sK57_E: $i > $i ).
thf(tp_sK58_E,type,
sK58_E: $i > $i ).
thf(tp_sK59_E,type,
sK59_E: $i > $i ).
thf(tp_sK5_E,type,
sK5_E: $i ).
thf(tp_sK60_E,type,
sK60_E: $i > $i ).
thf(tp_sK61_E,type,
sK61_E: $i > $i ).
thf(tp_sK62_E,type,
sK62_E: $i > $i ).
thf(tp_sK63_E,type,
sK63_E: $i > $i ).
thf(tp_sK64_E,type,
sK64_E: $i > $i ).
thf(tp_sK65_E,type,
sK65_E: $i > $i ).
thf(tp_sK66_E,type,
sK66_E: $i > $i ).
thf(tp_sK67_SX0,type,
sK67_SX0: $i > $i ).
thf(tp_sK68_SX0,type,
sK68_SX0: $i > $i ).
thf(tp_sK69_SX0,type,
sK69_SX0: $i > $i ).
thf(tp_sK6_E,type,
sK6_E: $i ).
thf(tp_sK70_SX0,type,
sK70_SX0: $i > $i ).
thf(tp_sK71_SX0,type,
sK71_SX0: $i > $i ).
thf(tp_sK72_SX0,type,
sK72_SX0: $i > $i ).
thf(tp_sK73_SX0,type,
sK73_SX0: $i > $i ).
thf(tp_sK74_SX0,type,
sK74_SX0: $i > $i ).
thf(tp_sK75_SX1,type,
sK75_SX1: $i > $i ).
thf(tp_sK76_SX1,type,
sK76_SX1: $i > $i ).
thf(tp_sK77_SX1,type,
sK77_SX1: $i > $i ).
thf(tp_sK78_SX0,type,
sK78_SX0: $i > $i ).
thf(tp_sK79_SX0,type,
sK79_SX0: $i > $i ).
thf(tp_sK7_E,type,
sK7_E: $i ).
thf(tp_sK80_SX0,type,
sK80_SX0: $i > $i ).
thf(tp_sK81_SX1,type,
sK81_SX1: $i > $i ).
thf(tp_sK82_SX0,type,
sK82_SX0: $i > $i ).
thf(tp_sK83_SX1,type,
sK83_SX1: $i > $i ).
thf(tp_sK84_SX1,type,
sK84_SX1: $i > $i ).
thf(tp_sK85_SX1,type,
sK85_SX1: $i > $i ).
thf(tp_sK86_SX1,type,
sK86_SX1: $i > $i ).
thf(tp_sK87_SX1,type,
sK87_SX1: $i > $i ).
thf(tp_sK88_SX1,type,
sK88_SX1: $i > $i ).
thf(tp_sK89_SX1,type,
sK89_SX1: $i > $i ).
thf(tp_sK8_E,type,
sK8_E: $i ).
thf(tp_sK90_SX1,type,
sK90_SX1: $i > $i ).
thf(tp_sK91_SX0,type,
sK91_SX0: $i > $i ).
thf(tp_sK92_SX0,type,
sK92_SX0: $i > $i ).
thf(tp_sK93_SX0,type,
sK93_SX0: $i > $i ).
thf(tp_sK94_SX0,type,
sK94_SX0: $i > $i ).
thf(tp_sK95_SX0,type,
sK95_SX0: $i > $i ).
thf(tp_sK96_SX0,type,
sK96_SX0: $i > $i ).
thf(tp_sK97_SX0,type,
sK97_SX0: $i > $i ).
thf(tp_sK98_SX0,type,
sK98_SX0: $i > $i ).
thf(tp_sK99_SX1,type,
sK99_SX1: $i > $i ).
thf(tp_sK9_SX1,type,
sK9_SX1: $i ).
thf(if,definition,
( if
= ( ^ [B: $o,X: $i,Y: $i] :
( eps
@ ^ [Z: $i] :
( ( B
& ( Z = X ) )
| ( ~ B
& ( Z = Y ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifd) ).
thf(2,conjecture,
! [P: $i > $o] :
( ( eps @ P )
= ( if
@ ? [X: $i] : ( P @ X )
@ ( eps @ P )
@ ( eps
@ ^ [X: $i] : $false ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(3,negated_conjecture,
( ( ! [P: $i > $o] :
( ( eps @ P )
= ( if
@ ? [X: $i] : ( P @ X )
@ ( eps @ P )
@ ( eps
@ ^ [X: $i] : $false ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[2]) ).
thf(4,plain,
( ( ! [SY0: $i > $o] :
( ( eps @ SY0 )
= ( eps
@ ^ [SY10: $i] :
( ( ? [X: $i] : ( SY0 @ X )
& ( SY10
= ( eps @ SY0 ) ) )
| ( ~ ? [X: $i] : ( SY0 @ X )
& ( SY10
= ( eps
@ ^ [X: $i] : $false ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[3,if]) ).
thf(6,plain,
( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SY20: $i] :
( ( ? [SY21: $i] : ( sK1_SY0 @ SY21 )
& ( SY20
= ( eps @ sK1_SY0 ) ) )
| ( ~ ? [SY22: $i] : ( sK1_SY0 @ SY22 )
& ( SY20
= ( eps
@ ^ [X: $i] : $false ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(7,plain,
( ( ( eps @ sK1_SY0 )
!= ( eps
@ ^ [SY20: $i] :
( ( ? [SY21: $i] : ( sK1_SY0 @ SY21 )
& ( SY20
= ( eps @ sK1_SY0 ) ) )
| ( ~ ? [SY22: $i] : ( sK1_SY0 @ SY22 )
& ( SY20
= ( eps
@ ^ [X: $i] : $false ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(9,plain,
( ( ( eps @ sK1_SY0 )
!= ( eps
@ ^ [SY20: $i] :
( ( ? [SY21: $i] : ( sK1_SY0 @ SY21 )
& ( SY20
= ( eps @ sK1_SY0 ) ) )
| ( ~ ? [SY22: $i] : ( sK1_SY0 @ SY22 )
& ( SY20
= ( eps
@ ^ [X: $i] : $false ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ( eps @ sK1_SY0 )
!= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,if]) ).
thf(13,plain,
( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ~ ! [SV3: $i] :
~ ( sK1_SY0 @ SV3 )
| ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[13]) ).
thf(20,plain,
( ( ~ ~ ! [SY26: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[13]) ).
thf(23,plain,
( ( ( ~ ~ ! [SV3: $i] :
~ ( sK1_SY0 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( ( ~ ~ ! [SY26: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(27,plain,
( ( ( ~ ! [SV3: $i] :
~ ( sK1_SY0 @ SV3 ) )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ( ~ ! [SY26: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(31,plain,
( ( ( ! [SV3: $i] :
~ ( sK1_SY0 @ SV3 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ( ! [SY26: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY26
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV7: $i] :
( ( ( ~ ( sK1_SY0 @ SV7 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV7: $i] :
( ( ( sK1_SY0 @ SV7 )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(44,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(45,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(46,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[44]) ).
thf(47,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV8
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(48,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(49,plain,
! [SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV8
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(50,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(51,plain,
! [SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV8
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(52,plain,
! [SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(53,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ( sK1_SY0 @ SV11 ) )
= $true )
| ( ( SV8
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV8: $i,SV11: $i] :
( ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(56,plain,
! [SV8: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) ) )
= $false )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[54]) ).
thf(57,plain,
! [SV11: $i,SV8: $i] :
( ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(58,plain,
! [SV8: $i] :
( ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(59,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(60,plain,
! [SV8: $i] :
( ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(61,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(62,plain,
! [SV8: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(64,plain,
! [SV8: $i,SV11: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[61]) ).
thf(65,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(66,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(67,plain,
! [SV8: $i,SV11: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(68,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(69,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(70,plain,
! [SV8: $i,SV11: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(71,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(72,plain,
! [SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(74,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[70]) ).
thf(75,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(76,plain,
! [SV8: $i,SV11: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
! [SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV11: $i,SV8: $i] :
( ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(80,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(81,plain,
! [SV8: $i,SV11: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(82,plain,
! [SV8: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[77]) ).
thf(83,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(84,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[78]) ).
thf(85,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(86,plain,
! [SV8: $i,SV11: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(87,plain,
! [SV8: $i] :
( ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV11: $i,SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV8: $i,SV11: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(94,plain,
! [SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV11: $i,SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(97,plain,
! [SV8: $i,SV11: $i,SV12: $i] :
( ( ( ~ ( sK1_SY0 @ SV12 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(98,plain,
! [SV8: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(99,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(100,plain,
! [SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(101,plain,
! [SV11: $i,SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(102,plain,
! [SV8: $i,SV11: $i,SV12: $i] :
( ( ( sK1_SY0 @ SV12 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(103,plain,
! [SV8: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(104,plain,
! [SV8: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(105,plain,
! [SV8: $i,SV13: $i] :
( ( ( ~ ( sK1_SY0 @ SV13 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(106,plain,
! [SV11: $i,SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(107,plain,
! [SV8: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV8: $i,SV13: $i] :
( ( ( sK1_SY0 @ SV13 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV11: $i,SV8: $i,SV14: $i] :
( ( ( ~ ( sK1_SY0 @ SV14 ) )
= $true )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV8: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(111,plain,
! [SV11: $i,SV8: $i,SV14: $i] :
( ( ( sK1_SY0 @ SV14 )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ SV8 @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( SV8
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(112,plain,
! [SV8: $i,SV15: $i] :
( ( ( ~ ( sK1_SY0 @ SV15 ) )
= $true )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(113,plain,
! [SV8: $i,SV15: $i] :
( ( ( sK1_SY0 @ SV15 )
= $false )
| ( ( sK1_SY0 @ ( sK4_SX1 @ SV8 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV8 ) )
= $true )
| ( ( SV8
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(114,plain,
( ( ( sK1_SY0 @ sK5_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(115,plain,
( ( ( sK1_SY0 @ sK5_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(116,plain,
( ( ( sK1_SY0 @ sK6_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(117,plain,
( ( ( sK1_SY0 @ sK6_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(118,plain,
! [SV14: $i,SV11: $i] :
( ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ ( eps @ sK1_SY0 ) @ SV11 ) )
= $true )
| ( ( sK1_SY0 @ SV14 )
= $false ) ),
inference(extuni,[status(esa)],[111:[bind(SV8,$thf( eps @ sK1_SY0 ))]]) ).
thf(119,plain,
! [SV11: $i] :
( ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( sK1_SY0 @ ( sK3_SX1 @ ( eps @ sK1_SY0 ) @ SV11 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[96:[bind(SV8,$thf( eps @ sK1_SY0 ))]]) ).
thf(120,plain,
! [SV12: $i,SV11: $i] :
( ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV12 )
= $false ) ),
inference(extuni,[status(esa)],[102:[bind(SV8,$thf( eps @ sK1_SY0 ))]]) ).
thf(121,plain,
! [SV11: $i] :
( ( ( sK1_SY0 @ SV11 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[81:[bind(SV8,$thf( eps @ sK1_SY0 ))]]) ).
thf(122,plain,
! [SV15: $i] :
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK4_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV15 )
= $false ) ),
inference(extuni,[status(esa)],[113:[bind(SV8,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(123,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK4_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[104:[bind(SV8,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(124,plain,
! [SV13: $i] :
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV13 )
= $false ) ),
inference(extuni,[status(esa)],[108:[bind(SV8,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(125,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[89:[bind(SV8,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(126,plain,
( ( ( sK1_SY0 @ sK7_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(127,plain,
( ( ( sK1_SY0 @ sK7_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(128,plain,
( ( ( sK1_SY0 @ sK8_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(129,plain,
( ( ( sK1_SY0 @ sK8_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(130,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(131,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(132,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(133,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(134,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(135,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[116]) ).
thf(136,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(137,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(138,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(139,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(140,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(141,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(142,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(143,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(144,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(145,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(146,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(147,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(148,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(149,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(150,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(151,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(152,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(153,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(154,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(155,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(156,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(157,plain,
( ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(158,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(159,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(160,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(161,plain,
( ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(162,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(163,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(164,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(165,plain,
( ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[150]) ).
thf(166,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(167,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(168,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(169,plain,
( ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(170,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(171,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(172,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(173,plain,
( ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(174,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(175,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(176,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(177,plain,
( ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(178,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(179,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(180,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(181,plain,
( ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[165]) ).
thf(182,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(183,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(184,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[168]) ).
thf(185,plain,
( ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(186,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(187,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(188,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(189,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(190,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(191,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(192,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(193,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(194,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(195,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[179]) ).
thf(196,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(197,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(198,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(199,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(200,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(201,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(202,plain,
! [SV16: $i] :
( ( ( ~ ( sK1_SY0 @ SV16 ) )
= $true )
| ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(203,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(204,plain,
( ( ( ~ ( sK1_SY0 @ sK9_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[188]) ).
thf(205,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(206,plain,
( ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(207,plain,
! [SV17: $i] :
( ( ( ~ ( sK1_SY0 @ SV17 ) )
= $true )
| ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(208,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(209,plain,
( ( ( ~ ( sK1_SY0 @ sK10_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[192]) ).
thf(210,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(211,plain,
( ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(212,plain,
! [SV18: $i] :
( ( ( ~ ( sK1_SY0 @ SV18 ) )
= $true )
| ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(213,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
( ( ( ~ ( sK1_SY0 @ sK11_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[196]) ).
thf(215,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(216,plain,
( ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(217,plain,
! [SV19: $i] :
( ( ( ~ ( sK1_SY0 @ SV19 ) )
= $true )
| ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(218,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(219,plain,
( ( ( ~ ( sK1_SY0 @ sK12_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(220,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(221,plain,
( ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[201]) ).
thf(222,plain,
! [SV16: $i] :
( ( ( sK1_SY0 @ SV16 )
= $false )
| ( ( sK5_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(223,plain,
( ( ( ~ ( sK1_SY0 @ sK13_SX1 ) )
= $false )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(224,plain,
( ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(225,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(226,plain,
( ( ( sK5_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(227,plain,
! [SV17: $i] :
( ( ( sK1_SY0 @ SV17 )
= $false )
| ( ( sK6_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(228,plain,
( ( ( ~ ( sK1_SY0 @ sK14_SX1 ) )
= $false )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(229,plain,
( ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[209]) ).
thf(230,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(231,plain,
( ( ( sK6_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(232,plain,
! [SV18: $i] :
( ( ( sK1_SY0 @ SV18 )
= $false )
| ( ( sK7_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(233,plain,
( ( ( ~ ( sK1_SY0 @ sK15_SX1 ) )
= $false )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(234,plain,
( ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(235,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(236,plain,
( ( ( sK7_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(237,plain,
! [SV19: $i] :
( ( ( sK1_SY0 @ SV19 )
= $false )
| ( ( sK8_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(238,plain,
( ( ( ~ ( sK1_SY0 @ sK16_SX1 ) )
= $false )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(239,plain,
( ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(240,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[220]) ).
thf(241,plain,
( ( ( sK8_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(242,plain,
! [SV16: $i] :
( ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV16 )
= $false )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(243,plain,
( ( ( sK1_SY0 @ sK13_SX1 )
= $true )
| ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(244,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(245,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(246,plain,
! [SV17: $i] :
( ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV17 )
= $false )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(247,plain,
( ( ( sK1_SY0 @ sK14_SX1 )
= $true )
| ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(248,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(249,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(250,plain,
! [SV18: $i] :
( ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV18 )
= $false )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(251,plain,
( ( ( sK1_SY0 @ sK15_SX1 )
= $true )
| ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(252,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(253,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(254,plain,
! [SV19: $i] :
( ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV19 )
= $false )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(255,plain,
( ( ( sK1_SY0 @ sK16_SX1 )
= $true )
| ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(256,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(257,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(258,plain,
( ( ( sK5_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK13_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(259,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(260,plain,
( ( ( sK5_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[244]) ).
thf(261,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(262,plain,
( ( ( sK6_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK14_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(263,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(264,plain,
( ( ( sK6_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(265,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(266,plain,
( ( ( sK7_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK15_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(267,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(268,plain,
( ( ( sK7_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[252]) ).
thf(269,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(270,plain,
( ( ( sK8_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK16_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(271,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(272,plain,
( ( ( sK8_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[256]) ).
thf(273,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(274,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(275,plain,
( ( ( sK5_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(276,plain,
! [SV20: $i] :
( ( ( ~ ( sK1_SY0 @ SV20 ) )
= $true )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(277,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(278,plain,
( ( ( sK6_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(279,plain,
! [SV21: $i] :
( ( ( ~ ( sK1_SY0 @ SV21 ) )
= $true )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(280,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(281,plain,
( ( ( sK7_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(282,plain,
! [SV22: $i] :
( ( ( ~ ( sK1_SY0 @ SV22 ) )
= $true )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(283,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(284,plain,
( ( ( sK8_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(285,plain,
! [SV23: $i] :
( ( ( ~ ( sK1_SY0 @ SV23 ) )
= $true )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(286,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(287,plain,
! [SV20: $i] :
( ( ( sK1_SY0 @ SV20 )
= $false )
| ( ( sK5_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(288,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(289,plain,
! [SV21: $i] :
( ( ( sK1_SY0 @ SV21 )
= $false )
| ( ( sK6_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(290,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(291,plain,
! [SV22: $i] :
( ( ( sK1_SY0 @ SV22 )
= $false )
| ( ( sK7_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(292,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV23: $i] :
( ( ( sK1_SY0 @ SV23 )
= $false )
| ( ( sK8_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(294,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(295,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(296,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(297,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(298,plain,
! [SV24: $i] :
( ( ( ~ ( sK1_SY0 @ SV24 ) )
= $true )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(299,plain,
! [SV25: $i] :
( ( ( ~ ( sK1_SY0 @ SV25 ) )
= $true )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(300,plain,
! [SV26: $i] :
( ( ( ~ ( sK1_SY0 @ SV26 ) )
= $true )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(301,plain,
! [SV27: $i] :
( ( ( ~ ( sK1_SY0 @ SV27 ) )
= $true )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(302,plain,
! [SV24: $i] :
( ( ( sK1_SY0 @ SV24 )
= $false )
| ( ( sK1_SY0 @ sK9_SX1 )
= $true )
| ( ( sK1_SY0 @ sK5_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(303,plain,
! [SV25: $i] :
( ( ( sK1_SY0 @ SV25 )
= $false )
| ( ( sK1_SY0 @ sK10_SX1 )
= $true )
| ( ( sK1_SY0 @ sK6_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(304,plain,
! [SV26: $i] :
( ( ( sK1_SY0 @ SV26 )
= $false )
| ( ( sK1_SY0 @ sK11_SX1 )
= $true )
| ( ( sK1_SY0 @ sK7_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(305,plain,
! [SV27: $i] :
( ( ( sK1_SY0 @ SV27 )
= $false )
| ( ( sK1_SY0 @ sK12_SX1 )
= $true )
| ( ( sK1_SY0 @ sK8_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(307,plain,
( ( ~ ~ ! [SY56: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[13]) ).
thf(311,plain,
( ( ( ~ ~ ! [SY56: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(315,plain,
( ( ( ~ ! [SY56: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(319,plain,
( ( ( ! [SY56: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY56
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(323,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(327,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(330,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(331,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(332,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(333,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(334,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV33
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(335,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(336,plain,
! [SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV33
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(337,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(338,plain,
! [SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV33
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(339,plain,
! [SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(340,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ( sK1_SY0 @ SV36 ) )
= $true )
| ( ( SV33
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(341,plain,
! [SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(342,plain,
! [SV33: $i,SV36: $i] :
( ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(343,plain,
! [SV33: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) ) )
= $false )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[341]) ).
thf(344,plain,
! [SV36: $i,SV33: $i] :
( ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(345,plain,
! [SV33: $i] :
( ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(346,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(347,plain,
! [SV33: $i] :
( ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(348,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(349,plain,
! [SV33: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(350,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(351,plain,
! [SV33: $i,SV36: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(352,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(353,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(354,plain,
! [SV33: $i,SV36: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(355,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(356,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[352]) ).
thf(357,plain,
! [SV33: $i,SV36: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(358,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(359,plain,
! [SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(360,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(361,plain,
! [SV36: $i,SV33: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[357]) ).
thf(362,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(363,plain,
! [SV33: $i,SV36: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(364,plain,
! [SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(365,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(366,plain,
! [SV36: $i,SV33: $i] :
( ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(367,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(368,plain,
! [SV33: $i,SV36: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(369,plain,
! [SV33: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[364]) ).
thf(370,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(371,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[365]) ).
thf(372,plain,
! [SV36: $i,SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(373,plain,
! [SV33: $i,SV36: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(374,plain,
! [SV33: $i] :
( ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[369]) ).
thf(375,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(376,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[371]) ).
thf(377,plain,
! [SV36: $i,SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(378,plain,
! [SV36: $i,SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[372]) ).
thf(379,plain,
! [SV33: $i,SV36: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(380,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(381,plain,
! [SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(382,plain,
! [SV36: $i,SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[377]) ).
thf(383,plain,
! [SV36: $i,SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(384,plain,
! [SV33: $i,SV36: $i,SV37: $i] :
( ( ( ~ ( sK1_SY0 @ SV37 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(385,plain,
! [SV33: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(386,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(387,plain,
! [SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[381]) ).
thf(388,plain,
! [SV36: $i,SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(389,plain,
! [SV33: $i,SV36: $i,SV37: $i] :
( ( ( sK1_SY0 @ SV37 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(390,plain,
! [SV33: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(391,plain,
! [SV33: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(392,plain,
! [SV33: $i,SV38: $i] :
( ( ( ~ ( sK1_SY0 @ SV38 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(393,plain,
! [SV36: $i,SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(394,plain,
! [SV33: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(395,plain,
! [SV33: $i,SV38: $i] :
( ( ( sK1_SY0 @ SV38 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(396,plain,
! [SV36: $i,SV33: $i,SV39: $i] :
( ( ( ~ ( sK1_SY0 @ SV39 ) )
= $true )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(397,plain,
! [SV33: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(398,plain,
! [SV36: $i,SV33: $i,SV39: $i] :
( ( ( sK1_SY0 @ SV39 )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ SV33 @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( SV33
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(399,plain,
! [SV33: $i,SV40: $i] :
( ( ( ~ ( sK1_SY0 @ SV40 ) )
= $true )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(400,plain,
! [SV33: $i,SV40: $i] :
( ( ( sK1_SY0 @ SV40 )
= $false )
| ( ( sK1_SY0 @ ( sK19_SX1 @ SV33 ) )
= $true )
| ( ( sK1_SY0 @ ( sK17_SX1 @ SV33 ) )
= $true )
| ( ( SV33
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(401,plain,
( ( ( sK1_SY0 @ sK20_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(402,plain,
( ( ( sK1_SY0 @ sK20_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(403,plain,
( ( ( sK1_SY0 @ sK21_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(404,plain,
( ( ( sK1_SY0 @ sK21_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(405,plain,
! [SV39: $i,SV36: $i] :
( ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ ( eps @ sK1_SY0 ) @ SV36 ) )
= $true )
| ( ( sK1_SY0 @ SV39 )
= $false ) ),
inference(extuni,[status(esa)],[398:[bind(SV33,$thf( eps @ sK1_SY0 ))]]) ).
thf(406,plain,
! [SV36: $i] :
( ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( sK1_SY0 @ ( sK18_SX1 @ ( eps @ sK1_SY0 ) @ SV36 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[383:[bind(SV33,$thf( eps @ sK1_SY0 ))]]) ).
thf(407,plain,
! [SV37: $i,SV36: $i] :
( ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV37 )
= $false ) ),
inference(extuni,[status(esa)],[389:[bind(SV33,$thf( eps @ sK1_SY0 ))]]) ).
thf(408,plain,
! [SV36: $i] :
( ( ( sK1_SY0 @ SV36 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[368:[bind(SV33,$thf( eps @ sK1_SY0 ))]]) ).
thf(409,plain,
! [SV40: $i] :
( ( ( sK1_SY0
@ ( sK17_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK19_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV40 )
= $false ) ),
inference(extuni,[status(esa)],[400:[bind(SV33,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(410,plain,
( ( ( sK1_SY0
@ ( sK17_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK19_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[391:[bind(SV33,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(411,plain,
! [SV38: $i] :
( ( ( sK1_SY0
@ ( sK17_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV38 )
= $false ) ),
inference(extuni,[status(esa)],[395:[bind(SV33,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(412,plain,
( ( ( sK1_SY0
@ ( sK17_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[376:[bind(SV33,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(413,plain,
( ( ( sK1_SY0 @ sK22_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(414,plain,
( ( ( sK1_SY0 @ sK22_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(415,plain,
( ( ( sK1_SY0 @ sK23_E )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[13]) ).
thf(416,plain,
( ( ( sK1_SY0 @ sK23_E )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(417,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(418,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[402]) ).
thf(419,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(420,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(421,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(422,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(423,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(424,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[414]) ).
thf(425,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(426,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(427,plain,
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(428,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(429,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(430,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(431,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(432,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(433,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(434,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(435,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(436,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(437,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(438,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(439,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(440,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(441,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(442,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(443,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(444,plain,
( ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(445,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(446,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(447,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(448,plain,
( ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[434]) ).
thf(449,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(450,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(451,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(452,plain,
( ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(453,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(454,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(455,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(456,plain,
( ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(457,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(458,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(459,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(460,plain,
( ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(461,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(462,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(463,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(464,plain,
( ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(465,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(466,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(467,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(468,plain,
( ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[452]) ).
thf(469,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(470,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(471,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[455]) ).
thf(472,plain,
( ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(473,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[457]) ).
thf(474,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(475,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(476,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(477,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(478,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(479,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(480,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(481,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(482,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(483,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(484,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(485,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[469]) ).
thf(486,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[470]) ).
thf(487,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(488,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(489,plain,
! [SV41: $i] :
( ( ( ~ ( sK1_SY0 @ SV41 ) )
= $true )
| ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(490,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(491,plain,
( ( ( ~ ( sK1_SY0 @ sK24_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[475]) ).
thf(492,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(493,plain,
( ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(494,plain,
! [SV42: $i] :
( ( ( ~ ( sK1_SY0 @ SV42 ) )
= $true )
| ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(495,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(496,plain,
( ( ( ~ ( sK1_SY0 @ sK25_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(497,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(498,plain,
( ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(499,plain,
! [SV43: $i] :
( ( ( ~ ( sK1_SY0 @ SV43 ) )
= $true )
| ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(500,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(501,plain,
( ( ( ~ ( sK1_SY0 @ sK26_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[483]) ).
thf(502,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(503,plain,
( ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(504,plain,
! [SV44: $i] :
( ( ( ~ ( sK1_SY0 @ SV44 ) )
= $true )
| ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(505,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(506,plain,
( ( ( ~ ( sK1_SY0 @ sK27_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[487]) ).
thf(507,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(508,plain,
( ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(509,plain,
! [SV41: $i] :
( ( ( sK1_SY0 @ SV41 )
= $false )
| ( ( sK20_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(510,plain,
( ( ( ~ ( sK1_SY0 @ sK28_SX1 ) )
= $false )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[490]) ).
thf(511,plain,
( ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(512,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(513,plain,
( ( ( sK20_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(514,plain,
! [SV42: $i] :
( ( ( sK1_SY0 @ SV42 )
= $false )
| ( ( sK21_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(515,plain,
( ( ( ~ ( sK1_SY0 @ sK29_SX1 ) )
= $false )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[495]) ).
thf(516,plain,
( ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(517,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(518,plain,
( ( ( sK21_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(519,plain,
! [SV43: $i] :
( ( ( sK1_SY0 @ SV43 )
= $false )
| ( ( sK22_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(520,plain,
( ( ( ~ ( sK1_SY0 @ sK30_SX1 ) )
= $false )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[500]) ).
thf(521,plain,
( ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(522,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(523,plain,
( ( ( sK22_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(524,plain,
! [SV44: $i] :
( ( ( sK1_SY0 @ SV44 )
= $false )
| ( ( sK23_E
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(525,plain,
( ( ( ~ ( sK1_SY0 @ sK31_SX1 ) )
= $false )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[505]) ).
thf(526,plain,
( ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(527,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(528,plain,
( ( ( sK23_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(529,plain,
! [SV41: $i] :
( ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV41 )
= $false )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(530,plain,
( ( ( sK1_SY0 @ sK28_SX1 )
= $true )
| ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(531,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(532,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(533,plain,
! [SV42: $i] :
( ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV42 )
= $false )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(534,plain,
( ( ( sK1_SY0 @ sK29_SX1 )
= $true )
| ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(535,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(536,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(537,plain,
! [SV43: $i] :
( ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV43 )
= $false )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(538,plain,
( ( ( sK1_SY0 @ sK30_SX1 )
= $true )
| ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(539,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(540,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(541,plain,
! [SV44: $i] :
( ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV44 )
= $false )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(542,plain,
( ( ( sK1_SY0 @ sK31_SX1 )
= $true )
| ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(543,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(544,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(545,plain,
( ( ( sK20_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK28_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(546,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(547,plain,
( ( ( sK20_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[531]) ).
thf(548,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(549,plain,
( ( ( sK21_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK29_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(550,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(551,plain,
( ( ( sK21_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(552,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(553,plain,
( ( ( sK22_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK30_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(554,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(555,plain,
( ( ( sK22_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(556,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(557,plain,
( ( ( sK23_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK31_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(558,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(559,plain,
( ( ( sK23_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(560,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[544]) ).
thf(561,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(562,plain,
( ( ( sK20_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(563,plain,
! [SV45: $i] :
( ( ( ~ ( sK1_SY0 @ SV45 ) )
= $true )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(564,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(565,plain,
( ( ( sK21_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(566,plain,
! [SV46: $i] :
( ( ( ~ ( sK1_SY0 @ SV46 ) )
= $true )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(567,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(568,plain,
( ( ( sK22_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(569,plain,
! [SV47: $i] :
( ( ( ~ ( sK1_SY0 @ SV47 ) )
= $true )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(570,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(571,plain,
( ( ( sK23_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(572,plain,
! [SV48: $i] :
( ( ( ~ ( sK1_SY0 @ SV48 ) )
= $true )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(573,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(574,plain,
! [SV45: $i] :
( ( ( sK1_SY0 @ SV45 )
= $false )
| ( ( sK20_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(575,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(576,plain,
! [SV46: $i] :
( ( ( sK1_SY0 @ SV46 )
= $false )
| ( ( sK21_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(577,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(578,plain,
! [SV47: $i] :
( ( ( sK1_SY0 @ SV47 )
= $false )
| ( ( sK22_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(579,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(580,plain,
! [SV48: $i] :
( ( ( sK1_SY0 @ SV48 )
= $false )
| ( ( sK23_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(581,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(582,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(583,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(584,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[579]) ).
thf(585,plain,
! [SV49: $i] :
( ( ( ~ ( sK1_SY0 @ SV49 ) )
= $true )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(586,plain,
! [SV50: $i] :
( ( ( ~ ( sK1_SY0 @ SV50 ) )
= $true )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(587,plain,
! [SV51: $i] :
( ( ( ~ ( sK1_SY0 @ SV51 ) )
= $true )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(588,plain,
! [SV52: $i] :
( ( ( ~ ( sK1_SY0 @ SV52 ) )
= $true )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(589,plain,
! [SV49: $i] :
( ( ( sK1_SY0 @ SV49 )
= $false )
| ( ( sK1_SY0 @ sK24_SX1 )
= $true )
| ( ( sK1_SY0 @ sK20_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(590,plain,
! [SV50: $i] :
( ( ( sK1_SY0 @ SV50 )
= $false )
| ( ( sK1_SY0 @ sK25_SX1 )
= $true )
| ( ( sK1_SY0 @ sK21_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(591,plain,
! [SV51: $i] :
( ( ( sK1_SY0 @ SV51 )
= $false )
| ( ( sK1_SY0 @ sK26_SX1 )
= $true )
| ( ( sK1_SY0 @ sK22_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(592,plain,
! [SV52: $i] :
( ( ( sK1_SY0 @ SV52 )
= $false )
| ( ( sK1_SY0 @ sK27_SX1 )
= $true )
| ( ( sK1_SY0 @ sK23_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(593,plain,
! [SV53: $i] :
( ( ( sK1_SY0 @ SV53 )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(rename,[status(thm)],[39]) ).
thf(607,plain,
! [SV58: $i,SV59: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(rename,[status(thm)],[81]) ).
thf(608,plain,
! [SV58: $i,SV59: $i,SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= ( SV58
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[607,607]) ).
thf(609,plain,
! [SV58: $i,SV59: $i,SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( SV58
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[607,607]) ).
thf(612,plain,
! [SV58: $i,SV59: $i,SV58: $i,SV59: $i] :
( ( ( ( SV58
= ( eps @ sK1_SY0 ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[607,607]) ).
thf(614,plain,
! [SV58: $i,SV59: $i,SV58: $i,SV59: $i] :
( ( ( ( SV58
= ( eps @ sK1_SY0 ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[607,607]) ).
thf(617,plain,
! [SV58: $i,SV59: $i,SV53: $i] :
( ( ( ( sK1_SY0 @ SV59 )
= ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV53 )
= $false ) ),
inference(res,[status(thm)],[607,593]) ).
thf(620,plain,
! [SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[607,13]) ).
thf(621,plain,
! [SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[607,13]) ).
thf(622,plain,
( ( ~ ~ ! [SY86: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[607]) ).
thf(626,plain,
( ( ~ ~ ! [SY102: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[607]) ).
thf(631,plain,
( ( ( ~ ~ ! [SY86: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(635,plain,
( ( ( ~ ~ ! [SY102: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(640,plain,
( ( ( ~ ! [SY86: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(644,plain,
( ( ( ~ ! [SY102: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(649,plain,
( ( ( ! [SY86: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY86
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(653,plain,
( ( ( ! [SY102: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY102
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(658,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(662,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(667,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(671,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(676,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(677,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(678,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(679,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[671]) ).
thf(680,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[676]) ).
thf(681,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[677]) ).
thf(682,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(683,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(684,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV69
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(685,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(686,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV73
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(687,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(688,plain,
! [SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV69
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(689,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(690,plain,
! [SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV73
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(691,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(692,plain,
! [SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV69
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[688]) ).
thf(693,plain,
! [SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[689]) ).
thf(694,plain,
! [SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV73
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(695,plain,
! [SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(696,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ( sK1_SY0 @ SV78 ) )
= $true )
| ( ( SV69
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(697,plain,
! [SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(698,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ( sK1_SY0 @ SV79 ) )
= $true )
| ( ( SV73
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(699,plain,
! [SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(700,plain,
! [SV69: $i,SV78: $i] :
( ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(701,plain,
! [SV69: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) ) )
= $false )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[697]) ).
thf(702,plain,
! [SV73: $i,SV79: $i] :
( ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(703,plain,
! [SV73: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) ) )
= $false )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[699]) ).
thf(704,plain,
! [SV78: $i,SV69: $i] :
( ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(705,plain,
! [SV69: $i] :
( ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(706,plain,
! [SV79: $i,SV73: $i] :
( ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(707,plain,
! [SV73: $i] :
( ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(708,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(709,plain,
! [SV69: $i] :
( ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(710,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(711,plain,
! [SV73: $i] :
( ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(712,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(713,plain,
! [SV69: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[709]) ).
thf(714,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(715,plain,
! [SV73: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(716,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(717,plain,
! [SV69: $i,SV78: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[712]) ).
thf(718,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(719,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(720,plain,
! [SV73: $i,SV79: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(721,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(722,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(723,plain,
! [SV69: $i,SV78: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(724,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(725,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(726,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(727,plain,
! [SV73: $i,SV79: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(728,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(729,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[721]) ).
thf(730,plain,
! [SV69: $i,SV78: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(731,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(732,plain,
! [SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[724]) ).
thf(733,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(734,plain,
! [SV73: $i,SV79: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[726]) ).
thf(735,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(736,plain,
! [SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(737,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(738,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[730]) ).
thf(739,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(740,plain,
! [SV69: $i,SV78: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[731]) ).
thf(741,plain,
! [SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(742,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(743,plain,
! [SV79: $i,SV73: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[734]) ).
thf(744,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(745,plain,
! [SV73: $i,SV79: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(746,plain,
! [SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(747,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(748,plain,
! [SV78: $i,SV69: $i] :
( ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(749,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(750,plain,
! [SV69: $i,SV78: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(751,plain,
! [SV69: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[741]) ).
thf(752,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(753,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(754,plain,
! [SV79: $i,SV73: $i] :
( ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(755,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(756,plain,
! [SV73: $i,SV79: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(757,plain,
! [SV73: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[746]) ).
thf(758,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(759,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[747]) ).
thf(760,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(761,plain,
! [SV69: $i,SV78: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(762,plain,
! [SV69: $i] :
( ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(763,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(764,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(765,plain,
! [SV79: $i,SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(766,plain,
! [SV73: $i,SV79: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(767,plain,
! [SV73: $i] :
( ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(768,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(769,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(770,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(771,plain,
! [SV78: $i,SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(772,plain,
! [SV69: $i,SV78: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(773,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(774,plain,
! [SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(775,plain,
! [SV79: $i,SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(776,plain,
! [SV79: $i,SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[765]) ).
thf(777,plain,
! [SV73: $i,SV79: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(778,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(779,plain,
! [SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(780,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[770]) ).
thf(781,plain,
! [SV78: $i,SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(782,plain,
! [SV69: $i,SV78: $i,SV80: $i] :
( ( ( ~ ( sK1_SY0 @ SV80 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(783,plain,
! [SV69: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(784,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[773]) ).
thf(785,plain,
! [SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[774]) ).
thf(786,plain,
! [SV79: $i,SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(787,plain,
! [SV79: $i,SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(788,plain,
! [SV73: $i,SV79: $i,SV81: $i] :
( ( ( ~ ( sK1_SY0 @ SV81 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(789,plain,
! [SV73: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(790,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[778]) ).
thf(791,plain,
! [SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(792,plain,
! [SV78: $i,SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(793,plain,
! [SV69: $i,SV78: $i,SV80: $i] :
( ( ( sK1_SY0 @ SV80 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(794,plain,
! [SV69: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(795,plain,
! [SV69: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(796,plain,
! [SV69: $i,SV82: $i] :
( ( ( ~ ( sK1_SY0 @ SV82 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(797,plain,
! [SV79: $i,SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(798,plain,
! [SV73: $i,SV79: $i,SV81: $i] :
( ( ( sK1_SY0 @ SV81 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(799,plain,
! [SV73: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[789]) ).
thf(800,plain,
! [SV73: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(801,plain,
! [SV73: $i,SV83: $i] :
( ( ( ~ ( sK1_SY0 @ SV83 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(802,plain,
! [SV78: $i,SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(803,plain,
! [SV69: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(804,plain,
! [SV69: $i,SV82: $i] :
( ( ( sK1_SY0 @ SV82 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(805,plain,
! [SV79: $i,SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(806,plain,
! [SV73: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(807,plain,
! [SV73: $i,SV83: $i] :
( ( ( sK1_SY0 @ SV83 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[801]) ).
thf(808,plain,
! [SV78: $i,SV69: $i,SV84: $i] :
( ( ( ~ ( sK1_SY0 @ SV84 ) )
= $true )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(809,plain,
! [SV69: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[803]) ).
thf(810,plain,
! [SV79: $i,SV73: $i,SV85: $i] :
( ( ( ~ ( sK1_SY0 @ SV85 ) )
= $true )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(811,plain,
! [SV73: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(812,plain,
! [SV78: $i,SV69: $i,SV84: $i] :
( ( ( sK1_SY0 @ SV84 )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ SV69 @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( SV69
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(813,plain,
! [SV69: $i,SV86: $i] :
( ( ( ~ ( sK1_SY0 @ SV86 ) )
= $true )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(814,plain,
! [SV79: $i,SV73: $i,SV85: $i] :
( ( ( sK1_SY0 @ SV85 )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ SV73 @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( SV73
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(815,plain,
! [SV73: $i,SV87: $i] :
( ( ( ~ ( sK1_SY0 @ SV87 ) )
= $true )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(816,plain,
! [SV69: $i,SV86: $i] :
( ( ( sK1_SY0 @ SV86 )
= $false )
| ( ( sK1_SY0 @ ( sK36_SX1 @ SV69 ) )
= $true )
| ( ( sK1_SY0 @ ( sK32_SX1 @ SV69 ) )
= $true )
| ( ( SV69
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(817,plain,
! [SV73: $i,SV87: $i] :
( ( ( sK1_SY0 @ SV87 )
= $false )
| ( ( sK1_SY0 @ ( sK37_SX1 @ SV73 ) )
= $true )
| ( ( sK1_SY0 @ ( sK33_SX1 @ SV73 ) )
= $true )
| ( ( SV73
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(818,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK38_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(820,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(821,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(823,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(824,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(826,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[621:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(830,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(831,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(832,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(833,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(834,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(835,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(836,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(837,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(838,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(839,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[620:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(840,plain,
! [SV53: $i] :
( ( ( sK1_SY0 @ SV53 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[617:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV59,$thf( eps @ sK1_SY0 ))]]) ).
thf(841,plain,
! [SV59: $i] :
( ( $false = $true )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(843,plain,
! [SV59: $i] :
( ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(844,plain,
! [SV59: $i] :
( ( $false = $true )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(846,plain,
! [SV59: $i] :
( ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(847,plain,
! [SV59: $i] :
( ( $false = $true )
| ( ( sK1_SY0 @ ( sK50_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(849,plain,
! [SV59: $i] :
( ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(850,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(851,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(856,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(857,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[614:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(859,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[612:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(860,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[612:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(861,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[612:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(862,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[612:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(863,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[612:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(865,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(867,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(868,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(870,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(874,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(875,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(880,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(881,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[609:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(883,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[608:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(884,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extuni,[status(esa)],[608:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(886,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[608:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(887,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[608:[bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(889,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(890,plain,
! [SV84: $i,SV78: $i] :
( ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ ( eps @ sK1_SY0 ) @ SV78 ) )
= $true )
| ( ( sK1_SY0 @ SV84 )
= $false ) ),
inference(extuni,[status(esa)],[812:[bind(SV69,$thf( eps @ sK1_SY0 ))]]) ).
thf(891,plain,
! [SV78: $i] :
( ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( sK1_SY0 @ ( sK34_SX1 @ ( eps @ sK1_SY0 ) @ SV78 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[781:[bind(SV69,$thf( eps @ sK1_SY0 ))]]) ).
thf(892,plain,
! [SV80: $i,SV78: $i] :
( ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV80 )
= $false ) ),
inference(extuni,[status(esa)],[793:[bind(SV69,$thf( eps @ sK1_SY0 ))]]) ).
thf(893,plain,
! [SV78: $i] :
( ( ( sK1_SY0 @ SV78 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[750:[bind(SV69,$thf( eps @ sK1_SY0 ))]]) ).
thf(894,plain,
! [SV86: $i] :
( ( ( sK1_SY0
@ ( sK32_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK36_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV86 )
= $false ) ),
inference(extuni,[status(esa)],[816:[bind(SV69,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(895,plain,
( ( ( sK1_SY0
@ ( sK32_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK36_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[795:[bind(SV69,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(896,plain,
! [SV82: $i] :
( ( ( sK1_SY0
@ ( sK32_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV82 )
= $false ) ),
inference(extuni,[status(esa)],[804:[bind(SV69,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(897,plain,
( ( ( sK1_SY0
@ ( sK32_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[764:[bind(SV69,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(898,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(899,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(900,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(901,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(902,plain,
! [SV85: $i,SV79: $i] :
( ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ ( eps @ sK1_SY0 ) @ SV79 ) )
= $true )
| ( ( sK1_SY0 @ SV85 )
= $false ) ),
inference(extuni,[status(esa)],[814:[bind(SV73,$thf( eps @ sK1_SY0 ))]]) ).
thf(903,plain,
! [SV79: $i] :
( ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( sK1_SY0 @ ( sK35_SX1 @ ( eps @ sK1_SY0 ) @ SV79 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[787:[bind(SV73,$thf( eps @ sK1_SY0 ))]]) ).
thf(904,plain,
! [SV81: $i,SV79: $i] :
( ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV81 )
= $false ) ),
inference(extuni,[status(esa)],[798:[bind(SV73,$thf( eps @ sK1_SY0 ))]]) ).
thf(905,plain,
! [SV79: $i] :
( ( ( sK1_SY0 @ SV79 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[756:[bind(SV73,$thf( eps @ sK1_SY0 ))]]) ).
thf(906,plain,
! [SV87: $i] :
( ( ( sK1_SY0
@ ( sK33_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK37_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV87 )
= $false ) ),
inference(extuni,[status(esa)],[817:[bind(SV73,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(907,plain,
( ( ( sK1_SY0
@ ( sK33_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK37_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[800:[bind(SV73,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(908,plain,
! [SV83: $i] :
( ( ( sK1_SY0
@ ( sK33_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV83 )
= $false ) ),
inference(extuni,[status(esa)],[807:[bind(SV73,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(909,plain,
( ( ( sK1_SY0
@ ( sK33_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[769:[bind(SV73,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(910,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(911,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(912,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(913,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[607:[bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(917,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(918,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[826]) ).
thf(921,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(922,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(925,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(926,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(927,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(928,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(929,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(930,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(931,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(932,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(933,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(934,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(935,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(936,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(937,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(938,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(939,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(940,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(944,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(945,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(946,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[850]) ).
thf(947,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(948,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[846]) ).
thf(951,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(952,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(953,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(955,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(956,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(957,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[863]) ).
thf(958,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(959,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(960,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(961,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[859]) ).
thf(962,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(963,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(964,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(968,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(969,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(970,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(971,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(972,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(975,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(976,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[868]) ).
thf(977,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(979,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[865]) ).
thf(980,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(981,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[887]) ).
thf(982,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(983,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(984,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[884]) ).
thf(985,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(989,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(990,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(993,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(994,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(997,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(998,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(999,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(1000,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1001,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(1002,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(1003,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[931]) ).
thf(1004,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(1005,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1006,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(1007,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1008,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1009,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(1010,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[938]) ).
thf(1011,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[939]) ).
thf(1012,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1016,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(1017,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(1018,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1019,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(1020,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1023,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1024,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1025,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1027,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1028,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(1029,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1030,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1031,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(1032,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1033,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1034,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1035,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1036,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1040,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1041,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1042,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1043,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1044,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1047,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1048,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1049,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1051,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1052,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1053,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1054,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1055,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1056,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1057,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1062,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1063,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1066,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1067,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1068,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1069,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[994]) ).
thf(1072,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1073,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1074,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1075,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1076,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1077,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1000]) ).
thf(1078,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1079,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1002]) ).
thf(1080,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1081,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1082,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1083,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1084,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1085,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1086,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1007]) ).
thf(1087,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1088,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1089,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1090,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1010]) ).
thf(1091,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1092,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1093,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1012]) ).
thf(1098,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1099,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1100,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1101,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1102,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1103,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1106,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1107,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1108,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1109,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1025]) ).
thf(1112,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1113,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1114,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1115,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1116,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1117,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1030]) ).
thf(1118,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1119,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1120,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1121,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1122,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1123,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1124,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1125,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1036]) ).
thf(1130,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1131,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1132,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1133,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1134,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1135,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1138,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1139,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1140,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1141,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1049]) ).
thf(1144,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1145,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1051]) ).
thf(1146,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1147,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1148,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1149,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1054]) ).
thf(1150,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1151,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1152,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1153,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1158,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1159,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1162,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1163,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1164,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1165,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1168,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1072]) ).
thf(1169,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1073]) ).
thf(1170,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1171,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1172,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1173,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1174,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1175,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1176,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1177,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1178,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1179,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1180,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1181,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1182,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1183,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1087]) ).
thf(1184,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1185,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1089]) ).
thf(1186,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1187,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1091]) ).
thf(1188,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1189,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1194,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1195,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1196,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1100]) ).
thf(1197,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1198,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1199,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1202,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1203,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1204,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1205,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1208,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1112]) ).
thf(1209,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1113]) ).
thf(1210,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1211,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1212,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1213,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1214,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1215,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1216,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1217,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1121]) ).
thf(1218,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1219,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1220,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1221,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1226,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1227,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1228,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1229,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1230,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1231,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1234,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1235,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1236,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1237,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1240,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1241,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1242,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1243,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1244,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1245,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1246,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1247,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1248,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1249,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1254,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1255,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1258,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1259,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1260,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1261,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1264,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1168]) ).
thf(1265,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1266,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1267,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1268,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1269,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1270,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1271,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1272,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1273,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1274,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1275,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1276,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1277,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1278,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1279,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1280,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1281,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1282,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1283,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1284,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1285,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1290,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1291,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1292,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1293,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1294,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1295,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1298,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1299,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1300,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1204]) ).
thf(1301,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1304,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1305,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1306,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1307,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1308,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1309,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1310,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1214]) ).
thf(1311,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1312,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1313,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1314,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1315,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1316,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1317,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1322,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1323,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1324,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1325,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1326,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1327,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1330,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1234]) ).
thf(1331,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1332,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1333,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1336,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1337,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1338,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1339,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1340,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1341,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1342,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1343,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1344,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1345,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1351,plain,
! [SV59: $i,SV89: $i] :
( ( ( ~ ( sK1_SY0 @ SV89 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1352,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1355,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1258]) ).
thf(1356,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1357,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1259]) ).
thf(1358,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1260]) ).
thf(1359,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1360,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1363,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1264]) ).
thf(1364,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1365,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1265]) ).
thf(1366,plain,
! [SV59: $i,SV92: $i] :
( ( ( ~ ( sK1_SY0 @ SV92 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1367,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1368,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1268]) ).
thf(1369,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1370,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1371,plain,
! [SV59: $i,SV93: $i] :
( ( ( ~ ( sK1_SY0 @ SV93 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1372,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1373,plain,
! [SV59: $i,SV94: $i] :
( ( ( ~ ( sK1_SY0 @ SV94 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1374,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1375,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1274]) ).
thf(1376,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1377,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1378,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1276]) ).
thf(1379,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1380,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1277]) ).
thf(1381,plain,
! [SV59: $i,SV95: $i] :
( ( ( ~ ( sK1_SY0 @ SV95 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1382,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1383,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1280]) ).
thf(1384,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1385,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1281]) ).
thf(1386,plain,
! [SV59: $i,SV96: $i] :
( ( ( ~ ( sK1_SY0 @ SV96 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1387,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1388,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1284]) ).
thf(1389,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1390,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1396,plain,
! [SV59: $i,SV98: $i] :
( ( ( ~ ( sK1_SY0 @ SV98 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1397,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1398,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1292]) ).
thf(1399,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1293]) ).
thf(1400,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1293]) ).
thf(1401,plain,
! [SV59: $i,SV99: $i] :
( ( ( ~ ( sK1_SY0 @ SV99 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1402,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1405,plain,
! [SV59: $i,SV101: $i] :
( ( ( ~ ( sK1_SY0 @ SV101 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1406,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1407,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1300]) ).
thf(1408,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1409,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1301]) ).
thf(1413,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1304]) ).
thf(1414,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1415,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1305]) ).
thf(1416,plain,
! [SV59: $i,SV102: $i] :
( ( ( ~ ( sK1_SY0 @ SV102 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1417,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1307]) ).
thf(1418,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1308]) ).
thf(1419,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1420,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1309]) ).
thf(1421,plain,
! [SV59: $i,SV103: $i] :
( ( ( ~ ( sK1_SY0 @ SV103 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1422,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1423,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1312]) ).
thf(1424,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1425,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1426,plain,
! [SV59: $i,SV104: $i] :
( ( ( ~ ( sK1_SY0 @ SV104 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1427,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1315]) ).
thf(1428,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1316]) ).
thf(1429,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1430,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1317]) ).
thf(1436,plain,
! [SV59: $i,SV106: $i] :
( ( ( ~ ( sK1_SY0 @ SV106 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1437,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1438,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1324]) ).
thf(1439,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1440,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1441,plain,
! [SV59: $i,SV107: $i] :
( ( ( ~ ( sK1_SY0 @ SV107 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1442,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1445,plain,
! [SV59: $i,SV109: $i] :
( ( ( ~ ( sK1_SY0 @ SV109 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1446,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1447,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1332]) ).
thf(1448,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1449,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1453,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1454,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1455,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1456,plain,
! [SV59: $i,SV110: $i] :
( ( ( ~ ( sK1_SY0 @ SV110 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1457,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1458,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1340]) ).
thf(1459,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1460,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1461,plain,
! [SV59: $i,SV111: $i] :
( ( ( ~ ( sK1_SY0 @ SV111 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1462,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1463,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1344]) ).
thf(1464,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1465,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1345]) ).
thf(1471,plain,
! [SV59: $i,SV89: $i] :
( ( ( sK1_SY0 @ SV89 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1472,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK92_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1352]) ).
thf(1475,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1355]) ).
thf(1476,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1477,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1478,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1479,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1480,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1483,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1484,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1485,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1486,plain,
! [SV59: $i,SV92: $i] :
( ( ( sK1_SY0 @ SV92 )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1487,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK95_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1367]) ).
thf(1488,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1368]) ).
thf(1489,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1490,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1491,plain,
! [SV59: $i,SV93: $i] :
( ( ( sK1_SY0 @ SV93 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1492,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK96_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1372]) ).
thf(1493,plain,
! [SV59: $i,SV94: $i] :
( ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1494,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1374]) ).
thf(1495,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1496,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1497,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1377]) ).
thf(1498,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1378]) ).
thf(1499,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1500,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1501,plain,
! [SV59: $i,SV95: $i] :
( ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1502,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1503,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1504,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1505,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1506,plain,
! [SV59: $i,SV96: $i] :
( ( ( sK1_SY0 @ SV96 )
= $false )
| ( ( ( sK54_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1507,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK99_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1387]) ).
thf(1508,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1509,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1510,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1516,plain,
! [SV59: $i,SV98: $i] :
( ( ( sK1_SY0 @ SV98 )
= $false )
| ( ( ( sK52_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1396]) ).
thf(1517,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK101_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1397]) ).
thf(1518,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1398]) ).
thf(1519,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1520,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1521,plain,
! [SV59: $i,SV99: $i] :
( ( ( sK1_SY0 @ SV99 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1522,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK102_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1402]) ).
thf(1525,plain,
! [SV59: $i,SV101: $i] :
( ( ( sK1_SY0 @ SV101 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1526,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK104_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1406]) ).
thf(1527,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1528,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1529,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1533,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1413]) ).
thf(1534,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1414]) ).
thf(1535,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1415]) ).
thf(1536,plain,
! [SV59: $i,SV102: $i] :
( ( ( sK1_SY0 @ SV102 )
= $false )
| ( ( ( sK56_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1537,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK105_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1417]) ).
thf(1538,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1539,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1540,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1541,plain,
! [SV59: $i,SV103: $i] :
( ( ( sK1_SY0 @ SV103 )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1542,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK106_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1543,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1544,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1545,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1546,plain,
! [SV59: $i,SV104: $i] :
( ( ( sK1_SY0 @ SV104 )
= $false )
| ( ( ( sK64_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1426]) ).
thf(1547,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK107_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1427]) ).
thf(1548,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1549,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1550,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1556,plain,
! [SV59: $i,SV106: $i] :
( ( ( sK1_SY0 @ SV106 )
= $false )
| ( ( ( sK62_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1557,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK109_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1437]) ).
thf(1558,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1559,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1560,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1561,plain,
! [SV59: $i,SV107: $i] :
( ( ( sK1_SY0 @ SV107 )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1562,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK110_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1442]) ).
thf(1565,plain,
! [SV59: $i,SV109: $i] :
( ( ( sK1_SY0 @ SV109 )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1566,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK112_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1446]) ).
thf(1567,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1568,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1569,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1573,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1574,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1575,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1576,plain,
! [SV59: $i,SV110: $i] :
( ( ( sK1_SY0 @ SV110 )
= $false )
| ( ( ( sK66_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1577,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK113_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1457]) ).
thf(1578,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1579,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1580,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1581,plain,
! [SV59: $i,SV111: $i] :
( ( ( sK1_SY0 @ SV111 )
= $false )
| ( ( ( sK65_E @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1582,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK114_SX1 @ SV59 ) ) )
= $false )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1462]) ).
thf(1583,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1584,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1585,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1590,plain,
! [SV89: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV89 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1591,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK92_SX0 @ SV59 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1594,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1595,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1596,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1597,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1598,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1478]) ).
thf(1599,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1602,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1603,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1604,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1605,plain,
! [SV92: $i,SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV92 )
= $false )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1606,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK95_SX0 @ SV59 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1607,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1608,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1609,plain,
! [SV93: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV93 )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1610,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK96_SX0 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1611,plain,
! [SV94: $i,SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1612,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1613,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1614,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1615,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1616,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1617,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1618,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1619,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1501]) ).
thf(1620,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1621,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1503]) ).
thf(1622,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1623,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1624,plain,
! [SV96: $i,SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV96 )
= $false )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1506]) ).
thf(1625,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK99_SX1 @ SV59 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1507]) ).
thf(1626,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1627,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1632,plain,
! [SV98: $i,SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV98 )
= $false )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1516]) ).
thf(1633,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK101_SX1 @ SV59 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1634,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1635,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1519]) ).
thf(1636,plain,
! [SV99: $i,SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV99 )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1637,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK102_SX0 @ SV59 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1640,plain,
! [SV101: $i,SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV101 )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1641,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK104_SX0 @ SV59 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1642,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1643,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1646,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1647,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1648,plain,
! [SV102: $i,SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV102 )
= $false )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1649,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK105_SX1 @ SV59 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1650,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1651,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1652,plain,
! [SV103: $i,SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV103 )
= $false )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1653,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK106_SX0 @ SV59 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1654,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1543]) ).
thf(1655,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1656,plain,
! [SV104: $i,SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV104 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1657,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK107_SX1 @ SV59 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1658,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1659,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1664,plain,
! [SV106: $i,SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV106 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1665,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK109_SX1 @ SV59 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1666,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1667,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1668,plain,
! [SV107: $i,SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV107 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1669,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK110_SX1 @ SV59 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1672,plain,
! [SV109: $i,SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV109 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1673,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK112_SX1 @ SV59 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1674,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1675,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1678,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1679,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1680,plain,
! [SV110: $i,SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV110 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1681,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK113_SX1 @ SV59 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1682,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1578]) ).
thf(1683,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1579]) ).
thf(1684,plain,
! [SV111: $i,SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV111 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1685,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK114_SX1 @ SV59 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1686,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1687,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1584]) ).
thf(1692,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK92_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1696,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1697,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1698,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1699,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1700,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1701,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1702,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1598]) ).
thf(1703,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1706,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1707,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1708,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1709,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1710,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK95_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1711,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1712,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1713,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1714,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK96_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1715,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1716,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1717,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1718,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1719,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1720,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1721,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1722,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1723,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1724,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1725,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1726,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1619]) ).
thf(1727,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1728,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1729,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1730,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1731,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1732,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK99_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1625]) ).
thf(1733,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1734,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1735,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1740,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK101_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1633]) ).
thf(1741,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1742,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1743,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1744,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK102_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1746,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK104_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1747,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1748,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1642]) ).
thf(1749,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1753,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1754,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1755,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1756,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK105_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1757,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1758,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1650]) ).
thf(1759,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1760,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK106_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1761,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1762,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1654]) ).
thf(1763,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1764,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK107_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1765,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1766,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1767,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1772,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK109_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1665]) ).
thf(1773,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1774,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1666]) ).
thf(1775,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1776,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK110_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1778,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK112_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1779,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1780,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1781,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1675]) ).
thf(1785,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1786,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1787,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1788,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK113_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1789,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1790,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1791,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1792,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK114_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1685]) ).
thf(1793,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1794,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1795,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1803,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1804,plain,
! [SV59: $i] :
( ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1805,plain,
! [SV59: $i,SV113: $i] :
( ( ( ~ ( sK1_SY0 @ SV113 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(1806,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1699]) ).
thf(1807,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1700]) ).
thf(1808,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1701]) ).
thf(1809,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1810,plain,
! [SV59: $i,SV114: $i] :
( ( ( ~ ( sK1_SY0 @ SV114 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(1813,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1814,plain,
! [SV59: $i] :
( ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1815,plain,
! [SV59: $i,SV115: $i] :
( ( ( ~ ( sK1_SY0 @ SV115 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1816,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1817,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1818,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1711]) ).
thf(1819,plain,
! [SV59: $i] :
( ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1820,plain,
! [SV59: $i,SV116: $i] :
( ( ( ~ ( sK1_SY0 @ SV116 ) )
= $true )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(1821,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1715]) ).
thf(1822,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1716]) ).
thf(1823,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1824,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1825,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1826,plain,
! [SV59: $i] :
( ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1719]) ).
thf(1827,plain,
! [SV59: $i,SV117: $i] :
( ( ( ~ ( sK1_SY0 @ SV117 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(1828,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1829,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1722]) ).
thf(1830,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1831,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1724]) ).
thf(1832,plain,
! [SV59: $i,SV118: $i] :
( ( ( ~ ( sK1_SY0 @ SV118 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(1833,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1834,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1727]) ).
thf(1835,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1836,plain,
! [SV59: $i] :
( ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1837,plain,
! [SV59: $i,SV119: $i] :
( ( ( ~ ( sK1_SY0 @ SV119 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(1838,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1839,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1840,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1841,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1842,plain,
! [SV59: $i,SV120: $i] :
( ( ( ~ ( sK1_SY0 @ SV120 ) )
= $true )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(1846,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1847,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1848,plain,
! [SV59: $i,SV122: $i] :
( ( ( ~ ( sK1_SY0 @ SV122 ) )
= $true )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(1849,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1850,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1851,plain,
! [SV59: $i,SV123: $i] :
( ( ( ~ ( sK1_SY0 @ SV123 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(1855,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1856,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1857,plain,
! [SV59: $i,SV125: $i] :
( ( ( ~ ( sK1_SY0 @ SV125 ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(1858,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1859,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1860,plain,
! [SV59: $i,SV126: $i] :
( ( ( ~ ( sK1_SY0 @ SV126 ) )
= $true )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(1861,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1862,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1863,plain,
! [SV59: $i,SV127: $i] :
( ( ( ~ ( sK1_SY0 @ SV127 ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(1864,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1865,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1866,plain,
! [SV59: $i,SV128: $i] :
( ( ( ~ ( sK1_SY0 @ SV128 ) )
= $true )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1767]) ).
thf(1870,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1871,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1872,plain,
! [SV59: $i,SV130: $i] :
( ( ( ~ ( sK1_SY0 @ SV130 ) )
= $true )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(1873,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1874,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1875,plain,
! [SV59: $i,SV131: $i] :
( ( ( ~ ( sK1_SY0 @ SV131 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(1879,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1785]) ).
thf(1880,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1881,plain,
! [SV59: $i,SV133: $i] :
( ( ( ~ ( sK1_SY0 @ SV133 ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(1882,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(1883,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1884,plain,
! [SV59: $i,SV134: $i] :
( ( ( ~ ( sK1_SY0 @ SV134 ) )
= $true )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(1885,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1886,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1887,plain,
! [SV59: $i,SV135: $i] :
( ( ( ~ ( sK1_SY0 @ SV135 ) )
= $true )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(1894,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1895,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1896,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1804]) ).
thf(1897,plain,
! [SV59: $i,SV113: $i] :
( ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1898,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1899,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1900,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1901,plain,
! [SV59: $i,SV114: $i] :
( ( ( sK1_SY0 @ SV114 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1905,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1906,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1814]) ).
thf(1907,plain,
! [SV59: $i,SV115: $i] :
( ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1908,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1909,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1910,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1911,plain,
! [SV59: $i,SV116: $i] :
( ( ( sK1_SY0 @ SV116 )
= $false )
| ( ( ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1912,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1913,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1822]) ).
thf(1914,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1915,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1824]) ).
thf(1916,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1917,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1918,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1919,plain,
! [SV59: $i,SV117: $i] :
( ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1920,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1921,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1922,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(1923,plain,
! [SV59: $i,SV118: $i] :
( ( ( sK1_SY0 @ SV118 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1924,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1925,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1926,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1927,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1835]) ).
thf(1928,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1836]) ).
thf(1929,plain,
! [SV59: $i,SV119: $i] :
( ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1930,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1838]) ).
thf(1931,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1839]) ).
thf(1932,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1933,plain,
! [SV59: $i,SV120: $i] :
( ( ( sK1_SY0 @ SV120 )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1842]) ).
thf(1936,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1846]) ).
thf(1937,plain,
! [SV59: $i,SV122: $i] :
( ( ( sK1_SY0 @ SV122 )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1938,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1939,plain,
! [SV59: $i,SV123: $i] :
( ( ( sK1_SY0 @ SV123 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(1942,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1855]) ).
thf(1943,plain,
! [SV59: $i,SV125: $i] :
( ( ( sK1_SY0 @ SV125 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1944,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1858]) ).
thf(1945,plain,
! [SV59: $i,SV126: $i] :
( ( ( sK1_SY0 @ SV126 )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1946,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(1947,plain,
! [SV59: $i,SV127: $i] :
( ( ( sK1_SY0 @ SV127 )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1948,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(1949,plain,
! [SV59: $i,SV128: $i] :
( ( ( sK1_SY0 @ SV128 )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1952,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1953,plain,
! [SV59: $i,SV130: $i] :
( ( ( sK1_SY0 @ SV130 )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1872]) ).
thf(1954,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(1955,plain,
! [SV59: $i,SV131: $i] :
( ( ( sK1_SY0 @ SV131 )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1958,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(1959,plain,
! [SV59: $i,SV133: $i] :
( ( ( sK1_SY0 @ SV133 )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1960,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1882]) ).
thf(1961,plain,
! [SV59: $i,SV134: $i] :
( ( ( sK1_SY0 @ SV134 )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(1962,plain,
! [SV59: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1963,plain,
! [SV59: $i,SV135: $i] :
( ( ( sK1_SY0 @ SV135 )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1887]) ).
thf(1969,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1894]) ).
thf(1970,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1895]) ).
thf(1971,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1896]) ).
thf(1972,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1897]) ).
thf(1973,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1897]) ).
thf(1974,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1975,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(1976,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1981,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1982,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1983,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1907]) ).
thf(1984,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1985,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1986,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1910]) ).
thf(1987,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(1988,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(1989,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1914]) ).
thf(1990,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(1991,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(1992,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1993,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(1994,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(1995,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1919]) ).
thf(1996,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1920]) ).
thf(1997,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1921]) ).
thf(1998,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1922]) ).
thf(1999,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1924]) ).
thf(2000,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1925]) ).
thf(2001,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2002,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1926]) ).
thf(2003,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2004,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(2005,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1929]) ).
thf(2006,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(2007,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2008,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2010,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1936]) ).
thf(2011,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(2013,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1942]) ).
thf(2014,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2015,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2016,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2018,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1952]) ).
thf(2019,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1954]) ).
thf(2021,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2022,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(2023,plain,
! [SV59: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2029,plain,
! [SV59: $i,SV137: $i] :
( ( ( ~ ( sK1_SY0 @ SV137 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2030,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1970]) ).
thf(2031,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1971]) ).
thf(2032,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2033,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(2034,plain,
! [SV59: $i,SV138: $i] :
( ( ( ~ ( sK1_SY0 @ SV138 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2035,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2036,plain,
! [SV59: $i,SV139: $i] :
( ( ( ~ ( sK1_SY0 @ SV139 ) )
= $true )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2041,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ( sK1_SY0 @ SV140 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2042,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2043,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1982]) ).
thf(2044,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1983]) ).
thf(2045,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1984]) ).
thf(2046,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2047,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2048,plain,
! [SV59: $i,SV141: $i] :
( ( ( ~ ( sK1_SY0 @ SV141 ) )
= $true )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2049,plain,
! [SV94: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2050,plain,
! [SV94: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1988]) ).
thf(2051,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2052,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2053,plain,
! [SV59: $i,SV142: $i] :
( ( ( ~ ( sK1_SY0 @ SV142 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2054,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1992]) ).
thf(2055,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2056,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1994]) ).
thf(2057,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2058,plain,
! [SV59: $i,SV143: $i] :
( ( ( ~ ( sK1_SY0 @ SV143 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2059,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2060,plain,
! [SV59: $i,SV144: $i] :
( ( ( ~ ( sK1_SY0 @ SV144 ) )
= $true )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2061,plain,
! [SV95: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1999]) ).
thf(2062,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2000]) ).
thf(2063,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2001]) ).
thf(2064,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2065,plain,
! [SV59: $i,SV145: $i] :
( ( ( ~ ( sK1_SY0 @ SV145 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2066,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2067,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2068,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2005]) ).
thf(2069,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2006]) ).
thf(2070,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2071,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2007]) ).
thf(2072,plain,
! [SV59: $i,SV146: $i] :
( ( ( ~ ( sK1_SY0 @ SV146 ) )
= $true )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2074,plain,
! [SV59: $i,SV148: $i] :
( ( ( ~ ( sK1_SY0 @ SV148 ) )
= $true )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2075,plain,
! [SV59: $i,SV149: $i] :
( ( ( ~ ( sK1_SY0 @ SV149 ) )
= $true )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2077,plain,
! [SV59: $i,SV151: $i] :
( ( ( ~ ( sK1_SY0 @ SV151 ) )
= $true )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2078,plain,
! [SV59: $i,SV152: $i] :
( ( ( ~ ( sK1_SY0 @ SV152 ) )
= $true )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2079,plain,
! [SV59: $i,SV153: $i] :
( ( ( ~ ( sK1_SY0 @ SV153 ) )
= $true )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2080,plain,
! [SV59: $i,SV154: $i] :
( ( ( ~ ( sK1_SY0 @ SV154 ) )
= $true )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2082,plain,
! [SV59: $i,SV156: $i] :
( ( ( ~ ( sK1_SY0 @ SV156 ) )
= $true )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2083,plain,
! [SV59: $i,SV157: $i] :
( ( ( ~ ( sK1_SY0 @ SV157 ) )
= $true )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2085,plain,
! [SV59: $i,SV159: $i] :
( ( ( ~ ( sK1_SY0 @ SV159 ) )
= $true )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2086,plain,
! [SV59: $i,SV160: $i] :
( ( ( ~ ( sK1_SY0 @ SV160 ) )
= $true )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2087,plain,
! [SV59: $i,SV161: $i] :
( ( ( ~ ( sK1_SY0 @ SV161 ) )
= $true )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2093,plain,
! [SV59: $i,SV137: $i] :
( ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2094,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2030]) ).
thf(2095,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2096,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2032]) ).
thf(2097,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2033]) ).
thf(2098,plain,
! [SV59: $i,SV138: $i] :
( ( ( sK1_SY0 @ SV138 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2034]) ).
thf(2099,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK117_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2035]) ).
thf(2100,plain,
! [SV59: $i,SV139: $i] :
( ( ( sK1_SY0 @ SV139 )
= $false )
| ( ( sK1_SY0 @ ( sK69_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2036]) ).
thf(2106,plain,
! [SV59: $i,SV140: $i] :
( ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2041]) ).
thf(2107,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2108,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2109,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2044]) ).
thf(2110,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2044]) ).
thf(2111,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2112,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2113,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2114,plain,
! [SV59: $i,SV141: $i] :
( ( ( sK1_SY0 @ SV141 )
= $false )
| ( ( sK1_SY0 @ ( sK71_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK46_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2115,plain,
! [SV94: $i,SV59: $i,SV163: $i] :
( ( ( ~ ( sK1_SY0 @ SV163 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2116,plain,
! [SV94: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2050]) ).
thf(2117,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2051]) ).
thf(2118,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2119,plain,
! [SV59: $i,SV142: $i] :
( ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2053]) ).
thf(2120,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2054]) ).
thf(2121,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2122,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2056]) ).
thf(2123,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2057]) ).
thf(2124,plain,
! [SV59: $i,SV143: $i] :
( ( ( sK1_SY0 @ SV143 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2125,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK119_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2059]) ).
thf(2126,plain,
! [SV59: $i,SV144: $i] :
( ( ( sK1_SY0 @ SV144 )
= $false )
| ( ( sK1_SY0 @ ( sK73_SX0 @ SV59 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2060]) ).
thf(2127,plain,
! [SV59: $i,SV95: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2061]) ).
thf(2128,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2129,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2130,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2131,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2132,plain,
! [SV59: $i,SV145: $i] :
( ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2133,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2066]) ).
thf(2134,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2067]) ).
thf(2135,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2136,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2068]) ).
thf(2137,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2069]) ).
thf(2138,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2070]) ).
thf(2139,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2071]) ).
thf(2140,plain,
! [SV59: $i,SV146: $i] :
( ( ( sK1_SY0 @ SV146 )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2142,plain,
! [SV59: $i,SV148: $i] :
( ( ( sK1_SY0 @ SV148 )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2143,plain,
! [SV59: $i,SV149: $i] :
( ( ( sK1_SY0 @ SV149 )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2075]) ).
thf(2145,plain,
! [SV59: $i,SV151: $i] :
( ( ( sK1_SY0 @ SV151 )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2077]) ).
thf(2146,plain,
! [SV59: $i,SV152: $i] :
( ( ( sK1_SY0 @ SV152 )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2147,plain,
! [SV59: $i,SV153: $i] :
( ( ( sK1_SY0 @ SV153 )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2079]) ).
thf(2148,plain,
! [SV59: $i,SV154: $i] :
( ( ( sK1_SY0 @ SV154 )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2080]) ).
thf(2150,plain,
! [SV59: $i,SV156: $i] :
( ( ( sK1_SY0 @ SV156 )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2082]) ).
thf(2151,plain,
! [SV59: $i,SV157: $i] :
( ( ( sK1_SY0 @ SV157 )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2083]) ).
thf(2153,plain,
! [SV59: $i,SV159: $i] :
( ( ( sK1_SY0 @ SV159 )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2085]) ).
thf(2154,plain,
! [SV59: $i,SV160: $i] :
( ( ( sK1_SY0 @ SV160 )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2155,plain,
! [SV59: $i,SV161: $i] :
( ( ( sK1_SY0 @ SV161 )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2160,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2093]) ).
thf(2161,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2093]) ).
thf(2162,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2163,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2164,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2096]) ).
thf(2165,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2166,plain,
! [SV138: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV138 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2098]) ).
thf(2167,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK117_SX0 @ SV59 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2099]) ).
thf(2174,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2106]) ).
thf(2175,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2107]) ).
thf(2176,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2177,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2178,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2110]) ).
thf(2179,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2180,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2112]) ).
thf(2181,plain,
! [SV94: $i,SV59: $i,SV163: $i] :
( ( ( sK1_SY0 @ SV163 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2115]) ).
thf(2182,plain,
! [SV59: $i,SV94: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK123_SX0 @ SV94 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2116]) ).
thf(2183,plain,
! [SV59: $i,SV165: $i] :
( ( ( ~ ( sK1_SY0 @ SV165 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2184,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2185,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2186,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2119]) ).
thf(2187,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2188,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2121]) ).
thf(2189,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2190,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2191,plain,
! [SV143: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV143 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2124]) ).
thf(2192,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK119_SX0 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2125]) ).
thf(2193,plain,
! [SV59: $i,SV95: $i] :
( ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2127]) ).
thf(2194,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2128]) ).
thf(2195,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2196,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2130]) ).
thf(2197,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2198,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2199,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2132]) ).
thf(2200,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2201,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2202,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2203,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2136]) ).
thf(2204,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2137]) ).
thf(2205,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2210,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2160]) ).
thf(2211,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2161]) ).
thf(2212,plain,
! [SV59: $i,SV166: $i] :
( ( ( ~ ( sK1_SY0 @ SV166 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2213,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2163]) ).
thf(2214,plain,
! [SV113: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2164]) ).
thf(2215,plain,
! [SV113: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2165]) ).
thf(2216,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK117_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2222,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2223,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2175]) ).
thf(2224,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2225,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2176]) ).
thf(2226,plain,
! [SV115: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2177]) ).
thf(2227,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2178]) ).
thf(2228,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2229,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2179]) ).
thf(2230,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2231,plain,
! [SV94: $i,SV163: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV163 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2181]) ).
thf(2232,plain,
! [SV59: $i,SV94: $i] :
( ( ( sK1_SY0 @ ( sK123_SX0 @ SV94 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2233,plain,
! [SV59: $i,SV165: $i] :
( ( ( sK1_SY0 @ SV165 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2234,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK127_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2184]) ).
thf(2235,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2236,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2237,plain,
! [SV59: $i,SV167: $i] :
( ( ( ~ ( sK1_SY0 @ SV167 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2238,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2188]) ).
thf(2239,plain,
! [SV117: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2240,plain,
! [SV117: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2241,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK119_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2242,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2243,plain,
! [SV95: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2194]) ).
thf(2244,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2196]) ).
thf(2245,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2197]) ).
thf(2246,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2198]) ).
thf(2247,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2248,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2200]) ).
thf(2249,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2250,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2251,plain,
! [SV119: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2252,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2203]) ).
thf(2253,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2204]) ).
thf(2254,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2204]) ).
thf(2255,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2259,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2210]) ).
thf(2260,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2211]) ).
thf(2261,plain,
! [SV59: $i,SV166: $i] :
( ( ( sK1_SY0 @ SV166 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2212]) ).
thf(2262,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK129_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2213]) ).
thf(2263,plain,
! [SV113: $i,SV59: $i,SV168: $i] :
( ( ( ~ ( sK1_SY0 @ SV168 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2264,plain,
! [SV113: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2215]) ).
thf(2270,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2271,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2272,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2223]) ).
thf(2273,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2224]) ).
thf(2274,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2275,plain,
! [SV59: $i,SV115: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2226]) ).
thf(2276,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2277,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2278,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2279,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2229]) ).
thf(2280,plain,
! [SV59: $i,SV169: $i] :
( ( ( ~ ( sK1_SY0 @ SV169 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2281,plain,
! [SV94: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK123_SX0 @ SV94 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV94 )
= $false )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2282,plain,
! [SV165: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV165 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2283,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK127_SX0 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2234]) ).
thf(2284,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2235]) ).
thf(2285,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2236]) ).
thf(2286,plain,
! [SV59: $i,SV167: $i] :
( ( ( sK1_SY0 @ SV167 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2287,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK131_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2238]) ).
thf(2288,plain,
! [SV117: $i,SV59: $i,SV170: $i] :
( ( ( ~ ( sK1_SY0 @ SV170 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2289,plain,
! [SV117: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2240]) ).
thf(2290,plain,
! [SV59: $i,SV95: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2242]) ).
thf(2291,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2242]) ).
thf(2292,plain,
! [SV95: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2293,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2294,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2295,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2296,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2297,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2298,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2299,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2250]) ).
thf(2300,plain,
! [SV59: $i,SV119: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2251]) ).
thf(2301,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2302,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2303,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2304,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2305,plain,
! [SV59: $i,SV171: $i] :
( ( ( ~ ( sK1_SY0 @ SV171 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2307,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2259]) ).
thf(2308,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2260]) ).
thf(2309,plain,
! [SV166: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV166 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2310,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK129_SX0 @ SV59 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2311,plain,
! [SV113: $i,SV59: $i,SV168: $i] :
( ( ( sK1_SY0 @ SV168 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2312,plain,
! [SV59: $i,SV113: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK133_SX0 @ SV113 @ SV59 ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2264]) ).
thf(2319,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2270]) ).
thf(2320,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2271]) ).
thf(2321,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2272]) ).
thf(2322,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2323,plain,
! [SV59: $i,SV115: $i] :
( ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2275]) ).
thf(2324,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2325,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2326,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2327,plain,
! [SV59: $i,SV169: $i] :
( ( ( sK1_SY0 @ SV169 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2328,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK127_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK97_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2283]) ).
thf(2329,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2330,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2285]) ).
thf(2331,plain,
! [SV167: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV167 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2286]) ).
thf(2332,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK131_SX0 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2333,plain,
! [SV117: $i,SV59: $i,SV170: $i] :
( ( ( sK1_SY0 @ SV170 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2288]) ).
thf(2334,plain,
! [SV59: $i,SV117: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK134_SX0 @ SV117 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2289]) ).
thf(2335,plain,
! [SV59: $i,SV95: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2336,plain,
! [SV95: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2337,plain,
! [SV95: $i,SV59: $i,SV173: $i] :
( ( ( ~ ( sK1_SY0 @ SV173 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2338,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2339,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2293]) ).
thf(2340,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2294]) ).
thf(2341,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2295]) ).
thf(2342,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2343,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2297]) ).
thf(2344,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2345,plain,
! [SV59: $i,SV119: $i] :
( ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2346,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2347,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2302]) ).
thf(2348,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2303]) ).
thf(2349,plain,
! [SV59: $i,SV171: $i] :
( ( ( sK1_SY0 @ SV171 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2350,plain,
! [SV137: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2307]) ).
thf(2351,plain,
! [SV137: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2308]) ).
thf(2352,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK129_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2310]) ).
thf(2353,plain,
! [SV113: $i,SV168: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV168 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2354,plain,
! [SV59: $i,SV113: $i] :
( ( ( sK1_SY0 @ ( sK133_SX0 @ SV113 @ SV59 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2312]) ).
thf(2360,plain,
! [SV140: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2361,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2362,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2321]) ).
thf(2363,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2321]) ).
thf(2364,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2322]) ).
thf(2365,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2366,plain,
! [SV115: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2367,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2326]) ).
thf(2368,plain,
! [SV142: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2329]) ).
thf(2369,plain,
! [SV142: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2330]) ).
thf(2370,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK131_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2332]) ).
thf(2371,plain,
! [SV117: $i,SV170: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV170 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2372,plain,
! [SV59: $i,SV117: $i] :
( ( ( sK1_SY0 @ ( sK134_SX0 @ SV117 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2373,plain,
! [SV59: $i,SV95: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2374,plain,
! [SV95: $i,SV59: $i,SV173: $i] :
( ( ( sK1_SY0 @ SV173 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2375,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2338]) ).
thf(2376,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2339]) ).
thf(2377,plain,
! [SV59: $i,SV175: $i] :
( ( ( ~ ( sK1_SY0 @ SV175 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2340]) ).
thf(2378,plain,
! [SV145: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2379,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2342]) ).
thf(2380,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2381,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2343]) ).
thf(2382,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2344]) ).
thf(2383,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2345]) ).
thf(2384,plain,
! [SV119: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2385,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2348]) ).
thf(2386,plain,
! [SV137: $i,SV59: $i,SV176: $i] :
( ( ( ~ ( sK1_SY0 @ SV176 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2350]) ).
thf(2387,plain,
! [SV137: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2388,plain,
! [SV113: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK133_SX0 @ SV113 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2354]) ).
thf(2392,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2360]) ).
thf(2393,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2361]) ).
thf(2394,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2361]) ).
thf(2395,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2362]) ).
thf(2396,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2363]) ).
thf(2397,plain,
! [SV59: $i,SV177: $i] :
( ( ( ~ ( sK1_SY0 @ SV177 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2398,plain,
! [SV59: $i,SV115: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2399,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2365]) ).
thf(2400,plain,
! [SV115: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2401,plain,
! [SV59: $i,SV178: $i] :
( ( ( ~ ( sK1_SY0 @ SV178 ) )
= $true )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2367]) ).
thf(2402,plain,
! [SV142: $i,SV59: $i,SV179: $i] :
( ( ( ~ ( sK1_SY0 @ SV179 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2403,plain,
! [SV142: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2369]) ).
thf(2404,plain,
! [SV117: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK134_SX0 @ SV117 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV117 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2405,plain,
! [SV59: $i,SV95: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2406,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2375]) ).
thf(2407,plain,
! [SV59: $i,SV175: $i] :
( ( ( sK1_SY0 @ SV175 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2408,plain,
! [SV59: $i,SV145: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2378]) ).
thf(2409,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2410,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2411,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2380]) ).
thf(2412,plain,
! [SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2413,plain,
! [SV59: $i,SV180: $i] :
( ( ( ~ ( sK1_SY0 @ SV180 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2414,plain,
! [SV59: $i,SV119: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2415,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2416,plain,
! [SV119: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2384]) ).
thf(2417,plain,
! [SV59: $i,SV181: $i] :
( ( ( ~ ( sK1_SY0 @ SV181 ) )
= $true )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2385]) ).
thf(2418,plain,
! [SV137: $i,SV59: $i,SV176: $i] :
( ( ( sK1_SY0 @ SV176 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2386]) ).
thf(2419,plain,
! [SV59: $i,SV137: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK137_SX0 @ SV137 @ SV59 ) ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2387]) ).
thf(2422,plain,
! [SV59: $i,SV140: $i] :
( ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2392]) ).
thf(2423,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2424,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2425,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2426,plain,
! [SV59: $i,SV177: $i] :
( ( ( sK1_SY0 @ SV177 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2427,plain,
! [SV59: $i,SV115: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2398]) ).
thf(2428,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2429,plain,
! [SV115: $i,SV59: $i,SV183: $i] :
( ( ( ~ ( sK1_SY0 @ SV183 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2430,plain,
! [SV59: $i,SV178: $i] :
( ( ( sK1_SY0 @ SV178 )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2401]) ).
thf(2431,plain,
! [SV142: $i,SV59: $i,SV179: $i] :
( ( ( sK1_SY0 @ SV179 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2402]) ).
thf(2432,plain,
! [SV59: $i,SV142: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK138_SX0 @ SV142 @ SV59 ) ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2403]) ).
thf(2433,plain,
! [SV59: $i,SV95: $i,SV184: $i] :
( ( ( ~ ( sK1_SY0 @ SV184 ) )
= $true )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2434,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2406]) ).
thf(2435,plain,
! [SV59: $i,SV145: $i] :
( ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2408]) ).
thf(2436,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2437,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2410]) ).
thf(2438,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2411]) ).
thf(2439,plain,
! [SV59: $i,SV180: $i] :
( ( ( sK1_SY0 @ SV180 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2440,plain,
! [SV59: $i,SV119: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2414]) ).
thf(2441,plain,
! [SV119: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2415]) ).
thf(2442,plain,
! [SV119: $i,SV59: $i,SV185: $i] :
( ( ( ~ ( sK1_SY0 @ SV185 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2443,plain,
! [SV59: $i,SV181: $i] :
( ( ( sK1_SY0 @ SV181 )
= $false )
| ( ( sK1_SY0 @ ( sK116_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2417]) ).
thf(2444,plain,
! [SV137: $i,SV176: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV176 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2418]) ).
thf(2445,plain,
! [SV59: $i,SV137: $i] :
( ( ( sK1_SY0 @ ( sK137_SX0 @ SV137 @ SV59 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2419]) ).
thf(2448,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2422]) ).
thf(2449,plain,
! [SV140: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2423]) ).
thf(2450,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2451,plain,
! [SV59: $i,SV115: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2427]) ).
thf(2452,plain,
! [SV115: $i,SV59: $i,SV183: $i] :
( ( ( sK1_SY0 @ SV183 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2429]) ).
thf(2453,plain,
! [SV142: $i,SV179: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV179 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2431]) ).
thf(2454,plain,
! [SV59: $i,SV142: $i] :
( ( ( sK1_SY0 @ ( sK138_SX0 @ SV142 @ SV59 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2432]) ).
thf(2455,plain,
! [SV59: $i,SV95: $i,SV184: $i] :
( ( ( sK1_SY0 @ SV184 )
= $false )
| ( ( sK1_SY0 @ ( sK120_SX0 @ SV95 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV95 )
= $false )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2456,plain,
! [SV59: $i,SV187: $i] :
( ( ( ~ ( sK1_SY0 @ SV187 ) )
= $true )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2457,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2458,plain,
! [SV145: $i,SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2436]) ).
thf(2459,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2438]) ).
thf(2460,plain,
! [SV59: $i,SV119: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2461,plain,
! [SV119: $i,SV59: $i,SV185: $i] :
( ( ( sK1_SY0 @ SV185 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2462,plain,
! [SV137: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK137_SX0 @ SV137 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2445]) ).
thf(2464,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2465,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2466,plain,
! [SV140: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2449]) ).
thf(2467,plain,
! [SV59: $i,SV188: $i] :
( ( ( ~ ( sK1_SY0 @ SV188 ) )
= $true )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2468,plain,
! [SV59: $i,SV115: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2451]) ).
thf(2469,plain,
! [SV142: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK138_SX0 @ SV142 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK45_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK72_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV142 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2470,plain,
! [SV59: $i,SV187: $i] :
( ( ( sK1_SY0 @ SV187 )
= $false )
| ( ( sK1_SY0 @ ( sK124_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK98_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2471,plain,
! [SV59: $i,SV145: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2472,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2457]) ).
thf(2473,plain,
! [SV145: $i,SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2474,plain,
! [SV59: $i,SV189: $i] :
( ( ( ~ ( sK1_SY0 @ SV189 ) )
= $true )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2459]) ).
thf(2475,plain,
! [SV59: $i,SV119: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2460]) ).
thf(2476,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2464]) ).
thf(2477,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2465]) ).
thf(2478,plain,
! [SV140: $i,SV59: $i,SV190: $i] :
( ( ( ~ ( sK1_SY0 @ SV190 ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2479,plain,
! [SV59: $i,SV188: $i] :
( ( ( sK1_SY0 @ SV188 )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2480,plain,
! [SV59: $i,SV115: $i,SV191: $i] :
( ( ( ~ ( sK1_SY0 @ SV191 ) )
= $true )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2481,plain,
! [SV59: $i,SV145: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2471]) ).
thf(2482,plain,
! [SV145: $i,SV59: $i] :
( ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2472]) ).
thf(2483,plain,
! [SV145: $i,SV59: $i,SV192: $i] :
( ( ( ~ ( sK1_SY0 @ SV192 ) )
= $true )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2484,plain,
! [SV59: $i,SV189: $i] :
( ( ( sK1_SY0 @ SV189 )
= $false )
| ( ( sK1_SY0 @ ( sK128_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2474]) ).
thf(2485,plain,
! [SV59: $i,SV119: $i,SV193: $i] :
( ( ( ~ ( sK1_SY0 @ SV193 ) )
= $true )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2486,plain,
! [SV59: $i,SV140: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2487,plain,
! [SV140: $i,SV59: $i,SV190: $i] :
( ( ( sK1_SY0 @ SV190 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2488,plain,
! [SV59: $i,SV115: $i,SV191: $i] :
( ( ( sK1_SY0 @ SV191 )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2489,plain,
! [SV59: $i,SV145: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2481]) ).
thf(2490,plain,
! [SV145: $i,SV59: $i,SV192: $i] :
( ( ( sK1_SY0 @ SV192 )
= $false )
| ( ( ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2483]) ).
thf(2491,plain,
! [SV59: $i,SV119: $i,SV193: $i] :
( ( ( sK1_SY0 @ SV193 )
= $false )
| ( ( sK1_SY0 @ ( sK132_SX0 @ SV119 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV119 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2485]) ).
thf(2492,plain,
! [SV59: $i,SV140: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2486]) ).
thf(2493,plain,
! [SV59: $i,SV145: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2494,plain,
! [SV59: $i,SV140: $i,SV194: $i] :
( ( ( ~ ( sK1_SY0 @ SV194 ) )
= $true )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2495,plain,
! [SV59: $i,SV145: $i,SV195: $i] :
( ( ( ~ ( sK1_SY0 @ SV195 ) )
= $true )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(2496,plain,
! [SV59: $i,SV140: $i,SV194: $i] :
( ( ( sK1_SY0 @ SV194 )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2494]) ).
thf(2497,plain,
! [SV59: $i,SV145: $i,SV195: $i] :
( ( ( sK1_SY0 @ SV195 )
= $false )
| ( ( sK1_SY0 @ ( sK136_SX0 @ SV145 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK44_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK74_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV145 )
= $false )
| ( ( sK1_SY0 @ ( sK43_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2495]) ).
thf(2498,plain,
! [SV137: $i,SV176: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV176 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2444]) ).
thf(2499,plain,
! [SV137: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK137_SX0 @ SV137 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV137 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2462]) ).
thf(2500,plain,
! [SV166: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV166 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2309]) ).
thf(2501,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK129_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK68_SX0 @ SV59 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2352]) ).
thf(2502,plain,
! [SV113: $i,SV168: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV168 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2353]) ).
thf(2503,plain,
! [SV113: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK133_SX0 @ SV113 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV113 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2388]) ).
thf(2504,plain,
! [SV138: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV138 )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2166]) ).
thf(2505,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK117_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK41_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[2216]) ).
thf(2506,plain,
! [SV59: $i,SV140: $i,SV194: $i] :
( ( ( sK1_SY0 @ SV194 )
= $false )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2496]) ).
thf(2507,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK135_SX0 @ SV140 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2477]) ).
thf(2508,plain,
! [SV140: $i,SV59: $i,SV190: $i] :
( ( ( sK1_SY0 @ SV190 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2487]) ).
thf(2509,plain,
! [SV140: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV140 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2424]) ).
thf(2510,plain,
! [SV59: $i,SV188: $i] :
( ( ( sK1_SY0 @ SV188 )
= $false )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2479]) ).
thf(2511,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK126_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2396]) ).
thf(2512,plain,
! [SV59: $i,SV177: $i] :
( ( ( sK1_SY0 @ SV177 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2426]) ).
thf(2513,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK70_SX0 @ SV59 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2274]) ).
thf(2514,plain,
! [SV59: $i,SV115: $i,SV191: $i] :
( ( ( sK1_SY0 @ SV191 )
= $false )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2488]) ).
thf(2515,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK130_SX0 @ SV115 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2428]) ).
thf(2516,plain,
! [SV115: $i,SV59: $i,SV183: $i] :
( ( ( sK1_SY0 @ SV183 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2452]) ).
thf(2517,plain,
! [SV115: $i,SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV115 )
= $false )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2325]) ).
thf(2518,plain,
! [SV59: $i,SV178: $i] :
( ( ( sK1_SY0 @ SV178 )
= $false )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2430]) ).
thf(2519,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK115_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2279]) ).
thf(2520,plain,
! [SV59: $i,SV169: $i] :
( ( ( sK1_SY0 @ SV169 )
= $false )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2327]) ).
thf(2521,plain,
! [SV59: $i] :
( ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK40_E @ ( eps @ sK1_SY0 ) @ SV59 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK39_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2113]) ).
thf(2522,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK38_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[818]) ).
thf(2523,plain,
! [SV96: $i,SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV96 )
= $false )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[1624]) ).
thf(2524,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK99_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[1732]) ).
thf(2525,plain,
! [SV59: $i,SV146: $i] :
( ( ( sK1_SY0 @ SV146 )
= $false )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[2140]) ).
thf(2526,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK75_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[1841]) ).
thf(2527,plain,
! [SV59: $i,SV120: $i] :
( ( ( sK1_SY0 @ SV120 )
= $false )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[1933]) ).
thf(2528,plain,
! [SV59: $i] :
( ( ( ( sK54_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK54_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK54_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[1510]) ).
thf(2529,plain,
! [SV98: $i,SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV98 )
= $false )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1632]) ).
thf(2530,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK101_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1740]) ).
thf(2531,plain,
! [SV59: $i,SV148: $i] :
( ( ( sK1_SY0 @ SV148 )
= $false )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2142]) ).
thf(2532,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK77_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1847]) ).
thf(2533,plain,
! [SV59: $i,SV122: $i] :
( ( ( sK1_SY0 @ SV122 )
= $false )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1937]) ).
thf(2534,plain,
! [SV59: $i] :
( ( ( ( sK52_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK52_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK52_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK51_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1520]) ).
thf(2535,plain,
! [SV59: $i] :
( ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[849]) ).
thf(2536,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK50_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[847]) ).
thf(2537,plain,
! [SV99: $i,SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV99 )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1636]) ).
thf(2538,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK102_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1744]) ).
thf(2539,plain,
! [SV101: $i,SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV101 )
= $false )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1640]) ).
thf(2540,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK104_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK49_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1746]) ).
thf(2541,plain,
! [SV59: $i,SV149: $i] :
( ( ( sK1_SY0 @ SV149 )
= $false )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[2143]) ).
thf(2542,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK78_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1850]) ).
thf(2543,plain,
! [SV59: $i,SV123: $i] :
( ( ( sK1_SY0 @ SV123 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1939]) ).
thf(2544,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1529]) ).
thf(2545,plain,
! [SV59: $i,SV151: $i] :
( ( ( sK1_SY0 @ SV151 )
= $false )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2145]) ).
thf(2546,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK80_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1856]) ).
thf(2547,plain,
! [SV59: $i,SV125: $i] :
( ( ( sK1_SY0 @ SV125 )
= $false )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1943]) ).
thf(2548,plain,
! [SV59: $i] :
( ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK47_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK48_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1535]) ).
thf(2549,plain,
! [SV102: $i,SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV102 )
= $false )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[1648]) ).
thf(2550,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK105_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[1756]) ).
thf(2551,plain,
! [SV59: $i,SV152: $i] :
( ( ( sK1_SY0 @ SV152 )
= $false )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[2146]) ).
thf(2552,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK81_SX1 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[1859]) ).
thf(2553,plain,
! [SV59: $i,SV126: $i] :
( ( ( sK1_SY0 @ SV126 )
= $false )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[1945]) ).
thf(2554,plain,
! [SV59: $i] :
( ( ( ( sK56_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK56_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK56_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[1540]) ).
thf(2555,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[861]) ).
thf(2556,plain,
! [SV103: $i,SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV103 )
= $false )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1652]) ).
thf(2557,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK106_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1760]) ).
thf(2558,plain,
! [SV59: $i,SV153: $i] :
( ( ( sK1_SY0 @ SV153 )
= $false )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[2147]) ).
thf(2559,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK82_SX0 @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1862]) ).
thf(2560,plain,
! [SV59: $i,SV127: $i] :
( ( ( sK1_SY0 @ SV127 )
= $false )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1947]) ).
thf(2561,plain,
! [SV59: $i] :
( ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK55_E @ SV59 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[1545]) ).
thf(2562,plain,
! [SV104: $i,SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV104 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1656]) ).
thf(2563,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK107_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1764]) ).
thf(2564,plain,
! [SV59: $i,SV154: $i] :
( ( ( sK1_SY0 @ SV154 )
= $false )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[2148]) ).
thf(2565,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK83_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1865]) ).
thf(2566,plain,
! [SV59: $i,SV128: $i] :
( ( ( sK1_SY0 @ SV128 )
= $false )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1949]) ).
thf(2567,plain,
! [SV59: $i] :
( ( ( ( sK64_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK64_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK64_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[1550]) ).
thf(2568,plain,
! [SV106: $i,SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV106 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1664]) ).
thf(2569,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK109_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $false )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1772]) ).
thf(2570,plain,
! [SV59: $i,SV156: $i] :
( ( ( sK1_SY0 @ SV156 )
= $false )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2150]) ).
thf(2571,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK85_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1871]) ).
thf(2572,plain,
! [SV59: $i,SV130: $i] :
( ( ( sK1_SY0 @ SV130 )
= $false )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1953]) ).
thf(2573,plain,
! [SV59: $i] :
( ( ( ( sK62_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK62_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK62_E @ SV59 ) )
= $true )
| ( ( sK1_SY0 @ ( sK61_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1560]) ).
thf(2574,plain,
! [SV107: $i,SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV107 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1668]) ).
thf(2575,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK110_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1776]) ).
thf(2576,plain,
! [SV109: $i,SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV109 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1672]) ).
thf(2577,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK112_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK59_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1778]) ).
thf(2578,plain,
! [SV59: $i,SV157: $i] :
( ( ( sK1_SY0 @ SV157 )
= $false )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2151]) ).
thf(2579,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK86_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1874]) ).
thf(2580,plain,
! [SV59: $i,SV131: $i] :
( ( ( sK1_SY0 @ SV131 )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1955]) ).
thf(2581,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1569]) ).
thf(2582,plain,
! [SV59: $i,SV159: $i] :
( ( ( sK1_SY0 @ SV159 )
= $false )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2153]) ).
thf(2583,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK88_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1880]) ).
thf(2584,plain,
! [SV59: $i,SV133: $i] :
( ( ( sK1_SY0 @ SV133 )
= $false )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1959]) ).
thf(2585,plain,
! [SV59: $i] :
( ( ( ( sK57_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK57_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK58_E @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK57_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1575]) ).
thf(2586,plain,
! [SV110: $i,SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV110 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1680]) ).
thf(2587,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK113_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1788]) ).
thf(2588,plain,
! [SV59: $i,SV160: $i] :
( ( ( sK1_SY0 @ SV160 )
= $false )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2154]) ).
thf(2589,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK89_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1883]) ).
thf(2590,plain,
! [SV59: $i,SV134: $i] :
( ( ( sK1_SY0 @ SV134 )
= $false )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1961]) ).
thf(2591,plain,
! [SV59: $i] :
( ( ( ( sK66_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK66_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0 @ ( sK66_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1580]) ).
thf(2592,plain,
! [SV111: $i,SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV111 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1684]) ).
thf(2593,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK114_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $false ) ),
inference(sim,[status(thm)],[1792]) ).
thf(2594,plain,
! [SV59: $i,SV161: $i] :
( ( ( sK1_SY0 @ SV161 )
= $false )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2155]) ).
thf(2595,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK90_SX1 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1886]) ).
thf(2596,plain,
! [SV59: $i,SV135: $i] :
( ( ( sK1_SY0 @ SV135 )
= $false )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1963]) ).
thf(2597,plain,
! [SV59: $i] :
( ( ( ( sK65_E @ SV59 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK65_E @ SV59 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK65_E @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[1585]) ).
thf(2602,plain,
! [SV200: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(rename,[status(thm)],[89]) ).
thf(2604,plain,
! [SV200: $i,SV200: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true ) ),
inference(res,[status(thm)],[2602,2602]) ).
thf(2605,plain,
! [SV200: $i,SV200: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true ) ),
inference(res,[status(thm)],[2602,2602]) ).
thf(2607,plain,
! [SV200: $i,SV200: $i] :
( ( ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(res,[status(thm)],[2602,2602]) ).
thf(2608,plain,
! [SV200: $i,SV200: $i] :
( ( ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(res,[status(thm)],[2602,2602]) ).
thf(2610,plain,
! [SV200: $i,SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= ( SV58
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[2602,607]) ).
thf(2611,plain,
! [SV200: $i,SV58: $i,SV59: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( SV58
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(res,[status(thm)],[2602,607]) ).
thf(2612,plain,
! [SV200: $i,SV58: $i,SV59: $i] :
( ( ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= ( sK1_SY0 @ SV59 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[2602,607]) ).
thf(2615,plain,
! [SV200: $i,SV58: $i,SV59: $i] :
( ( ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[2602,607]) ).
thf(2616,plain,
! [SV200: $i,SV58: $i,SV59: $i] :
( ( ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( SV58
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(res,[status(thm)],[2602,607]) ).
thf(2618,plain,
! [SV200: $i,SV53: $i] :
( ( ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= ( sK1_SY0 @ SV53 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(res,[status(thm)],[2602,593]) ).
thf(2622,plain,
! [SV200: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(res,[status(thm)],[2602,13]) ).
thf(2623,plain,
! [SV200: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(res,[status(thm)],[2602,13]) ).
thf(2624,plain,
( ( ~ ~ ! [SY232: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[2602]) ).
thf(2628,plain,
( ( ~ ~ ! [SY248: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[2602]) ).
thf(2629,plain,
( ( ~ ~ ! [SV206: $i] :
~ ( sK1_SY0 @ SV206 )
| ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[2602]) ).
thf(2631,plain,
( ( ~ ~ ! [SV208: $i] :
~ ( sK1_SY0 @ SV208 )
| ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[2602]) ).
thf(2633,plain,
( ( ( ~ ~ ! [SY232: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2624]) ).
thf(2637,plain,
( ( ( ~ ~ ! [SY248: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2628]) ).
thf(2638,plain,
( ( ( ~ ~ ! [SV206: $i] :
~ ( sK1_SY0 @ SV206 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2629]) ).
thf(2640,plain,
( ( ( ~ ~ ! [SV208: $i] :
~ ( sK1_SY0 @ SV208 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2631]) ).
thf(2642,plain,
( ( ( ~ ! [SY232: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2633]) ).
thf(2646,plain,
( ( ( ~ ! [SY248: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2647,plain,
( ( ( ~ ! [SV206: $i] :
~ ( sK1_SY0 @ SV206 ) )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2649,plain,
( ( ( ~ ! [SV208: $i] :
~ ( sK1_SY0 @ SV208 ) )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2640]) ).
thf(2651,plain,
( ( ( ! [SY232: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY232
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2642]) ).
thf(2655,plain,
( ( ( ! [SY248: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY248
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2646]) ).
thf(2656,plain,
( ( ( ! [SV206: $i] :
~ ( sK1_SY0 @ SV206 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2658,plain,
( ( ( ! [SV208: $i] :
~ ( sK1_SY0 @ SV208 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2649]) ).
thf(2660,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2664,plain,
! [SV214: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(2665,plain,
! [SV215: $i] :
( ( ( ~ ( sK1_SY0 @ SV215 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(2667,plain,
! [SV217: $i] :
( ( ( ~ ( sK1_SY0 @ SV217 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(2669,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2660]) ).
thf(2673,plain,
! [SV214: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2664]) ).
thf(2674,plain,
! [SV215: $i] :
( ( ( sK1_SY0 @ SV215 )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2665]) ).
thf(2676,plain,
! [SV217: $i] :
( ( ( sK1_SY0 @ SV217 )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2667]) ).
thf(2678,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2679,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2680,plain,
! [SV214: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2681,plain,
! [SV214: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2673]) ).
thf(2682,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2678]) ).
thf(2683,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2679]) ).
thf(2684,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2680]) ).
thf(2685,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2681]) ).
thf(2686,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV210
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2682]) ).
thf(2687,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2683]) ).
thf(2688,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV214
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2684]) ).
thf(2689,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2690,plain,
! [SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV210
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2686]) ).
thf(2691,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2687]) ).
thf(2692,plain,
! [SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV214
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2688]) ).
thf(2693,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2689]) ).
thf(2694,plain,
! [SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV210
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2690]) ).
thf(2695,plain,
! [SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2691]) ).
thf(2696,plain,
! [SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV214
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2692]) ).
thf(2697,plain,
! [SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2693]) ).
thf(2698,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ( sK1_SY0 @ SV219 ) )
= $true )
| ( ( SV210
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(2699,plain,
! [SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2695]) ).
thf(2700,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ( sK1_SY0 @ SV220 ) )
= $true )
| ( ( SV214
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2696]) ).
thf(2701,plain,
! [SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2697]) ).
thf(2702,plain,
! [SV210: $i,SV219: $i] :
( ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2703,plain,
! [SV210: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) ) )
= $false )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2699]) ).
thf(2704,plain,
! [SV214: $i,SV220: $i] :
( ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(2705,plain,
! [SV214: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) ) )
= $false )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2701]) ).
thf(2706,plain,
! [SV219: $i,SV210: $i] :
( ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2702]) ).
thf(2707,plain,
! [SV210: $i] :
( ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2703]) ).
thf(2708,plain,
! [SV220: $i,SV214: $i] :
( ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2704]) ).
thf(2709,plain,
! [SV214: $i] :
( ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2705]) ).
thf(2710,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2706]) ).
thf(2711,plain,
! [SV210: $i] :
( ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2707]) ).
thf(2712,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2708]) ).
thf(2713,plain,
! [SV214: $i] :
( ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2709]) ).
thf(2714,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2715,plain,
! [SV210: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2711]) ).
thf(2716,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(2717,plain,
! [SV214: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2713]) ).
thf(2718,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2719,plain,
! [SV210: $i,SV219: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2714]) ).
thf(2720,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2721,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2722,plain,
! [SV214: $i,SV220: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2723,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2724,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2718]) ).
thf(2725,plain,
! [SV210: $i,SV219: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2719]) ).
thf(2726,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2720]) ).
thf(2727,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2720]) ).
thf(2728,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2721]) ).
thf(2729,plain,
! [SV214: $i,SV220: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2722]) ).
thf(2730,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2723]) ).
thf(2731,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2723]) ).
thf(2732,plain,
! [SV210: $i,SV219: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2733,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2725]) ).
thf(2734,plain,
! [SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2726]) ).
thf(2735,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2727]) ).
thf(2736,plain,
! [SV214: $i,SV220: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2737,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2738,plain,
! [SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2730]) ).
thf(2739,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2731]) ).
thf(2740,plain,
! [SV219: $i,SV210: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2732]) ).
thf(2741,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2733]) ).
thf(2742,plain,
! [SV210: $i,SV219: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2733]) ).
thf(2743,plain,
! [SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2734]) ).
thf(2744,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(2745,plain,
! [SV220: $i,SV214: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2736]) ).
thf(2746,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2737]) ).
thf(2747,plain,
! [SV214: $i,SV220: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2737]) ).
thf(2748,plain,
! [SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2738]) ).
thf(2749,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2750,plain,
! [SV219: $i,SV210: $i] :
( ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2740]) ).
thf(2751,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2741]) ).
thf(2752,plain,
! [SV210: $i,SV219: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2742]) ).
thf(2753,plain,
! [SV210: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2743]) ).
thf(2754,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2755,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2756,plain,
! [SV220: $i,SV214: $i] :
( ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2757,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2746]) ).
thf(2758,plain,
! [SV214: $i,SV220: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2747]) ).
thf(2759,plain,
! [SV214: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2748]) ).
thf(2760,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2749]) ).
thf(2761,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2749]) ).
thf(2762,plain,
! [SV219: $i,SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2750]) ).
thf(2763,plain,
! [SV210: $i,SV219: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2751]) ).
thf(2764,plain,
! [SV210: $i] :
( ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2765,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2754]) ).
thf(2766,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2755]) ).
thf(2767,plain,
! [SV220: $i,SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2756]) ).
thf(2768,plain,
! [SV214: $i,SV220: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2757]) ).
thf(2769,plain,
! [SV214: $i] :
( ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(2770,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2760]) ).
thf(2771,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(2772,plain,
! [SV219: $i,SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2773,plain,
! [SV219: $i,SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2762]) ).
thf(2774,plain,
! [SV210: $i,SV219: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2763]) ).
thf(2775,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2764]) ).
thf(2776,plain,
! [SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2765]) ).
thf(2777,plain,
! [SV220: $i,SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2767]) ).
thf(2778,plain,
! [SV220: $i,SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2767]) ).
thf(2779,plain,
! [SV214: $i,SV220: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2768]) ).
thf(2780,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2769]) ).
thf(2781,plain,
! [SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(2782,plain,
! [SV219: $i,SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2772]) ).
thf(2783,plain,
! [SV219: $i,SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2773]) ).
thf(2784,plain,
! [SV210: $i,SV219: $i,SV221: $i] :
( ( ( ~ ( sK1_SY0 @ SV221 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2774]) ).
thf(2785,plain,
! [SV210: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2786,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2775]) ).
thf(2787,plain,
! [SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2788,plain,
! [SV220: $i,SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2777]) ).
thf(2789,plain,
! [SV220: $i,SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2778]) ).
thf(2790,plain,
! [SV214: $i,SV220: $i,SV222: $i] :
( ( ( ~ ( sK1_SY0 @ SV222 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2791,plain,
! [SV214: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2792,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2780]) ).
thf(2793,plain,
! [SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2781]) ).
thf(2794,plain,
! [SV219: $i,SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2782]) ).
thf(2795,plain,
! [SV210: $i,SV219: $i,SV221: $i] :
( ( ( sK1_SY0 @ SV221 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2784]) ).
thf(2796,plain,
! [SV210: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2785]) ).
thf(2797,plain,
! [SV210: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2786]) ).
thf(2798,plain,
! [SV210: $i,SV223: $i] :
( ( ( ~ ( sK1_SY0 @ SV223 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(2799,plain,
! [SV220: $i,SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2788]) ).
thf(2800,plain,
! [SV214: $i,SV220: $i,SV222: $i] :
( ( ( sK1_SY0 @ SV222 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2790]) ).
thf(2801,plain,
! [SV214: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2791]) ).
thf(2802,plain,
! [SV214: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2803,plain,
! [SV214: $i,SV224: $i] :
( ( ( ~ ( sK1_SY0 @ SV224 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(2804,plain,
! [SV219: $i,SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2794]) ).
thf(2805,plain,
! [SV210: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(2806,plain,
! [SV210: $i,SV223: $i] :
( ( ( sK1_SY0 @ SV223 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2798]) ).
thf(2807,plain,
! [SV220: $i,SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2799]) ).
thf(2808,plain,
! [SV214: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2809,plain,
! [SV214: $i,SV224: $i] :
( ( ( sK1_SY0 @ SV224 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(2810,plain,
! [SV219: $i,SV210: $i,SV225: $i] :
( ( ( ~ ( sK1_SY0 @ SV225 ) )
= $true )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(2811,plain,
! [SV210: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2812,plain,
! [SV220: $i,SV214: $i,SV226: $i] :
( ( ( ~ ( sK1_SY0 @ SV226 ) )
= $true )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(2813,plain,
! [SV214: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2808]) ).
thf(2814,plain,
! [SV219: $i,SV210: $i,SV225: $i] :
( ( ( sK1_SY0 @ SV225 )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ SV210 @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( SV210
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(2815,plain,
! [SV210: $i,SV227: $i] :
( ( ( ~ ( sK1_SY0 @ SV227 ) )
= $true )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(2816,plain,
! [SV220: $i,SV214: $i,SV226: $i] :
( ( ( sK1_SY0 @ SV226 )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ SV214 @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( SV214
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2812]) ).
thf(2817,plain,
! [SV214: $i,SV228: $i] :
( ( ( ~ ( sK1_SY0 @ SV228 ) )
= $true )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2813]) ).
thf(2818,plain,
! [SV210: $i,SV227: $i] :
( ( ( sK1_SY0 @ SV227 )
= $false )
| ( ( sK1_SY0 @ ( sK167_SX1 @ SV210 ) )
= $true )
| ( ( sK1_SY0 @ ( sK163_SX1 @ SV210 ) )
= $true )
| ( ( SV210
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2815]) ).
thf(2819,plain,
! [SV214: $i,SV228: $i] :
( ( ( sK1_SY0 @ SV228 )
= $false )
| ( ( sK1_SY0 @ ( sK168_SX1 @ SV214 ) )
= $true )
| ( ( sK1_SY0 @ ( sK164_SX1 @ SV214 ) )
= $true )
| ( ( SV214
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2817]) ).
thf(2820,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK169_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2822,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2823,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2825,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2826,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2828,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2623:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2832,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2833,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2834,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2835,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2836,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2837,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2838,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2839,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2840,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2841,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2622:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2842,plain,
( ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2618:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV53,$thf( sK2_SX1 @ ( eps @ ^ [SX0: $i] : $false ) ))]]) ).
thf(2843,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2616:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2845,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2616:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2846,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2616:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2847,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2615:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2849,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2615:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2850,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK180_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(extuni,[status(esa)],[2615:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2852,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2615:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2853,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2612:[bind(SV58,$thf( eps @ sK1_SY0 )),bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV59,$thf( sK2_SX1 @ ( eps @ ^ [SX0: $i] : $false ) ))]]) ).
thf(2854,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2611:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2855,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2611:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2857,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK182_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2611:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2859,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2611:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2860,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2610:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(2861,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2610:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ sK1_SY0 ))]]) ).
thf(2863,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2610:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV58,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2864,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2608:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2866,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2608:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2867,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2608:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2870,plain,
( ( ( sK1_SY0 @ sK187_E )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2872,plain,
( ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2876,plain,
( ( ( sK1_SY0 @ sK189_E )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2878,plain,
( ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2879,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2885,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[2607:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2888,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[2605:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2891,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extuni,[status(esa)],[2605:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2894,plain,
( ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[2604:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2896,plain,
( ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[2604:[bind(SV200,$thf( eps @ sK1_SY0 ))]]) ).
thf(2903,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[2604:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2909,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extuni,[status(esa)],[2604:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(2912,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2913,plain,
! [SV225: $i,SV219: $i] :
( ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ ( eps @ sK1_SY0 ) @ SV219 ) )
= $true )
| ( ( sK1_SY0 @ SV225 )
= $false ) ),
inference(extuni,[status(esa)],[2814:[bind(SV210,$thf( eps @ sK1_SY0 ))]]) ).
thf(2914,plain,
! [SV219: $i] :
( ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( sK1_SY0 @ ( sK165_SX1 @ ( eps @ sK1_SY0 ) @ SV219 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2783:[bind(SV210,$thf( eps @ sK1_SY0 ))]]) ).
thf(2915,plain,
! [SV221: $i,SV219: $i] :
( ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV221 )
= $false ) ),
inference(extuni,[status(esa)],[2795:[bind(SV210,$thf( eps @ sK1_SY0 ))]]) ).
thf(2916,plain,
! [SV219: $i] :
( ( ( sK1_SY0 @ SV219 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2752:[bind(SV210,$thf( eps @ sK1_SY0 ))]]) ).
thf(2917,plain,
! [SV227: $i] :
( ( ( sK1_SY0
@ ( sK163_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK167_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV227 )
= $false ) ),
inference(extuni,[status(esa)],[2818:[bind(SV210,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2918,plain,
( ( ( sK1_SY0
@ ( sK163_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK167_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2797:[bind(SV210,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2919,plain,
! [SV223: $i] :
( ( ( sK1_SY0
@ ( sK163_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV223 )
= $false ) ),
inference(extuni,[status(esa)],[2806:[bind(SV210,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2920,plain,
( ( ( sK1_SY0
@ ( sK163_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2766:[bind(SV210,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2921,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2922,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2923,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2924,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2925,plain,
! [SV226: $i,SV220: $i] :
( ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ ( eps @ sK1_SY0 ) @ SV220 ) )
= $true )
| ( ( sK1_SY0 @ SV226 )
= $false ) ),
inference(extuni,[status(esa)],[2816:[bind(SV214,$thf( eps @ sK1_SY0 ))]]) ).
thf(2926,plain,
! [SV220: $i] :
( ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( sK1_SY0 @ ( sK166_SX1 @ ( eps @ sK1_SY0 ) @ SV220 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2789:[bind(SV214,$thf( eps @ sK1_SY0 ))]]) ).
thf(2927,plain,
! [SV222: $i,SV220: $i] :
( ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV222 )
= $false ) ),
inference(extuni,[status(esa)],[2800:[bind(SV214,$thf( eps @ sK1_SY0 ))]]) ).
thf(2928,plain,
! [SV220: $i] :
( ( ( sK1_SY0 @ SV220 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2758:[bind(SV214,$thf( eps @ sK1_SY0 ))]]) ).
thf(2929,plain,
! [SV228: $i] :
( ( ( sK1_SY0
@ ( sK164_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK168_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV228 )
= $false ) ),
inference(extuni,[status(esa)],[2819:[bind(SV214,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2930,plain,
( ( ( sK1_SY0
@ ( sK164_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK168_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2802:[bind(SV214,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2931,plain,
! [SV224: $i] :
( ( ( sK1_SY0
@ ( sK164_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV224 )
= $false ) ),
inference(extuni,[status(esa)],[2809:[bind(SV214,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2932,plain,
( ( ( sK1_SY0
@ ( sK164_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2771:[bind(SV214,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2933,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2934,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2935,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2936,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[2602:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(2940,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2828]) ).
thf(2941,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2828]) ).
thf(2944,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2945,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2948,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2949,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2950,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2840]) ).
thf(2951,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2839]) ).
thf(2952,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(2953,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2838]) ).
thf(2954,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2955,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2837]) ).
thf(2956,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(2957,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(2958,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2834]) ).
thf(2959,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2834]) ).
thf(2960,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(2963,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(2966,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(2967,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2855]) ).
thf(2968,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2855]) ).
thf(2969,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2854]) ).
thf(2970,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2971,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2861]) ).
thf(2972,plain,
! [SV59: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(2975,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2867]) ).
thf(2978,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2864]) ).
thf(2981,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(2987,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2879]) ).
thf(2994,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(2996,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2870]) ).
thf(2999,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2891]) ).
thf(3002,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2888]) ).
thf(3005,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(3011,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2903]) ).
thf(3018,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2896]) ).
thf(3020,plain,
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2894]) ).
thf(3024,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2940]) ).
thf(3025,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2941]) ).
thf(3028,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3029,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2945]) ).
thf(3032,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(3033,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2949]) ).
thf(3034,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2950]) ).
thf(3035,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2951]) ).
thf(3036,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2952]) ).
thf(3037,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2953]) ).
thf(3038,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2954]) ).
thf(3039,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2955]) ).
thf(3040,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2956]) ).
thf(3041,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3042,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2958]) ).
thf(3043,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2959]) ).
thf(3044,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3047,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3050,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(3051,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2967]) ).
thf(3052,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2968]) ).
thf(3053,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(3054,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2970]) ).
thf(3055,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2971]) ).
thf(3056,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2972]) ).
thf(3059,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3062,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3065,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(3071,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3078,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3080,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3083,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3086,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3089,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3095,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3011]) ).
thf(3102,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3104,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3109,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3110,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3025]) ).
thf(3113,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3028]) ).
thf(3114,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3028]) ).
thf(3115,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3029]) ).
thf(3116,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3029]) ).
thf(3119,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3120,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3121,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3033]) ).
thf(3122,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3034]) ).
thf(3123,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3124,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3125,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3126,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3037]) ).
thf(3127,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3038]) ).
thf(3128,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3129,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3130,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3040]) ).
thf(3131,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3132,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3041]) ).
thf(3133,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3134,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3135,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3136,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3044]) ).
thf(3139,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3047]) ).
thf(3140,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3047]) ).
thf(3143,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3144,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3145,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3146,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3052]) ).
thf(3147,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3148,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3149,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3054]) ).
thf(3150,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3151,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3056]) ).
thf(3152,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3056]) ).
thf(3155,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3156,plain,
( ( ( sK185_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3059]) ).
thf(3159,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3160,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3163,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3065]) ).
thf(3164,plain,
( ( ( sK193_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3065]) ).
thf(3171,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3071]) ).
thf(3172,plain,
( ( ( sK191_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3071]) ).
thf(3179,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3180,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3078]) ).
thf(3183,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3080]) ).
thf(3184,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3080]) ).
thf(3187,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3188,plain,
( ( ( sK195_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3083]) ).
thf(3191,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3192,plain,
( ( ( sK194_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3086]) ).
thf(3195,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3089]) ).
thf(3196,plain,
( ( ( sK203_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3089]) ).
thf(3203,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3204,plain,
( ( ( sK201_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3095]) ).
thf(3211,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3212,plain,
( ( ( sK196_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3102]) ).
thf(3215,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3216,plain,
( ( ( sK196_E
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3104]) ).
thf(3221,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3222,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3225,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3113]) ).
thf(3226,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3114]) ).
thf(3227,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3228,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3231,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3119]) ).
thf(3232,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3120]) ).
thf(3233,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3121]) ).
thf(3234,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3235,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3123]) ).
thf(3236,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3124]) ).
thf(3237,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3125]) ).
thf(3238,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3239,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3127]) ).
thf(3240,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3128]) ).
thf(3241,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3242,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3130]) ).
thf(3243,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3131]) ).
thf(3244,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3132]) ).
thf(3245,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3246,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3134]) ).
thf(3247,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3248,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3136]) ).
thf(3251,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3252,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3140]) ).
thf(3255,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3256,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3144]) ).
thf(3257,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3258,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3146]) ).
thf(3259,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3147]) ).
thf(3260,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3148]) ).
thf(3261,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3262,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3263,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3151]) ).
thf(3264,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3152]) ).
thf(3267,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3155]) ).
thf(3268,plain,
( ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3156]) ).
thf(3271,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3159]) ).
thf(3272,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3160]) ).
thf(3275,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3163]) ).
thf(3276,plain,
( ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3164]) ).
thf(3283,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3171]) ).
thf(3284,plain,
( ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3172]) ).
thf(3291,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3179]) ).
thf(3292,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3180]) ).
thf(3295,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3183]) ).
thf(3296,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3184]) ).
thf(3299,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3187]) ).
thf(3300,plain,
( ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3188]) ).
thf(3303,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3304,plain,
( ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3307,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3195]) ).
thf(3308,plain,
( ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3315,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3203]) ).
thf(3316,plain,
( ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3323,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3211]) ).
thf(3324,plain,
( ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3212]) ).
thf(3327,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3215]) ).
thf(3328,plain,
( ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3216]) ).
thf(3333,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3221]) ).
thf(3334,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3222]) ).
thf(3337,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3338,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3339,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3340,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3343,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3344,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3345,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3233]) ).
thf(3346,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3234]) ).
thf(3347,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3348,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3349,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3237]) ).
thf(3350,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3238]) ).
thf(3351,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3239]) ).
thf(3352,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3240]) ).
thf(3353,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3354,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3242]) ).
thf(3355,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3356,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3357,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3245]) ).
thf(3358,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3246]) ).
thf(3359,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3247]) ).
thf(3360,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3248]) ).
thf(3363,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3251]) ).
thf(3364,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3252]) ).
thf(3367,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3368,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3369,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3257]) ).
thf(3370,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3258]) ).
thf(3371,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3259]) ).
thf(3372,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3373,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3261]) ).
thf(3374,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3262]) ).
thf(3375,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3263]) ).
thf(3376,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3264]) ).
thf(3379,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3267]) ).
thf(3380,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3383,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3271]) ).
thf(3384,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3272]) ).
thf(3387,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3275]) ).
thf(3388,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3276]) ).
thf(3395,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3283]) ).
thf(3396,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3284]) ).
thf(3403,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3404,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3292]) ).
thf(3407,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3295]) ).
thf(3408,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3296]) ).
thf(3411,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3299]) ).
thf(3412,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3415,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3303]) ).
thf(3416,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3304]) ).
thf(3419,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3307]) ).
thf(3420,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3308]) ).
thf(3427,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3428,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3435,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3436,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3439,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3327]) ).
thf(3440,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3328]) ).
thf(3446,plain,
! [SV230: $i] :
( ( ( ~ ( sK1_SY0 @ SV230 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3333]) ).
thf(3447,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3334]) ).
thf(3450,plain,
( ( ( ~ ( sK1_SY0 @ sK205_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3337]) ).
thf(3451,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3452,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3338]) ).
thf(3453,plain,
( ( ( ~ ( sK1_SY0 @ sK206_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3339]) ).
thf(3454,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3455,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3340]) ).
thf(3458,plain,
( ( ( ~ ( sK1_SY0 @ sK207_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3343]) ).
thf(3459,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3344]) ).
thf(3460,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3344]) ).
thf(3461,plain,
! [SV233: $i] :
( ( ( ~ ( sK1_SY0 @ SV233 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3345]) ).
thf(3462,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3463,plain,
( ( ( ~ ( sK1_SY0 @ sK208_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3347]) ).
thf(3464,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3348]) ).
thf(3465,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3348]) ).
thf(3466,plain,
! [SV234: $i] :
( ( ( ~ ( sK1_SY0 @ SV234 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3349]) ).
thf(3467,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3468,plain,
! [SV235: $i] :
( ( ( ~ ( sK1_SY0 @ SV235 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3351]) ).
thf(3469,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3470,plain,
( ( ( ~ ( sK1_SY0 @ sK209_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3353]) ).
thf(3471,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3472,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3354]) ).
thf(3473,plain,
( ( ( ~ ( sK1_SY0 @ sK210_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3355]) ).
thf(3474,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3356]) ).
thf(3475,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3356]) ).
thf(3476,plain,
! [SV236: $i] :
( ( ( ~ ( sK1_SY0 @ SV236 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3357]) ).
thf(3477,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3478,plain,
( ( ( ~ ( sK1_SY0 @ sK211_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3359]) ).
thf(3479,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3480,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3483,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3363]) ).
thf(3484,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3485,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3364]) ).
thf(3488,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3367]) ).
thf(3489,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3368]) ).
thf(3490,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3368]) ).
thf(3491,plain,
! [SV59: $i,SV239: $i] :
( ( ( ~ ( sK1_SY0 @ SV239 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3369]) ).
thf(3492,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3370]) ).
thf(3493,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3371]) ).
thf(3494,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3372]) ).
thf(3495,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3372]) ).
thf(3496,plain,
! [SV59: $i,SV240: $i] :
( ( ( ~ ( sK1_SY0 @ SV240 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3373]) ).
thf(3497,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3498,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3375]) ).
thf(3499,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3500,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3503,plain,
( ( ( ~ ( sK1_SY0 @ sK216_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3379]) ).
thf(3504,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3505,plain,
( ( ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3508,plain,
( ( ( ~ ( sK1_SY0 @ sK217_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3383]) ).
thf(3509,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3384]) ).
thf(3510,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3384]) ).
thf(3513,plain,
( ( ( ~ ( sK1_SY0 @ sK218_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3387]) ).
thf(3514,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3515,plain,
( ( ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3388]) ).
thf(3523,plain,
( ( ( ~ ( sK1_SY0 @ sK220_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3395]) ).
thf(3524,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3525,plain,
( ( ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3396]) ).
thf(3532,plain,
( ( ( ~ ( sK1_SY0 @ sK221_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3403]) ).
thf(3533,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3404]) ).
thf(3534,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3404]) ).
thf(3538,plain,
( ( ( ~ ( sK1_SY0 @ sK223_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3407]) ).
thf(3539,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3408]) ).
thf(3540,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3408]) ).
thf(3543,plain,
( ( ( ~ ( sK1_SY0 @ sK224_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3411]) ).
thf(3544,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3545,plain,
( ( ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3412]) ).
thf(3548,plain,
( ( ( ~ ( sK1_SY0 @ sK225_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3415]) ).
thf(3549,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3550,plain,
( ( ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3416]) ).
thf(3553,plain,
( ( ( ~ ( sK1_SY0 @ sK226_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3419]) ).
thf(3554,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3555,plain,
( ( ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3420]) ).
thf(3563,plain,
( ( ( ~ ( sK1_SY0 @ sK228_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3427]) ).
thf(3564,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3565,plain,
( ( ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3428]) ).
thf(3572,plain,
( ( ( ~ ( sK1_SY0 @ sK229_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3435]) ).
thf(3573,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3436]) ).
thf(3574,plain,
( ( ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3436]) ).
thf(3578,plain,
( ( ( ~ ( sK1_SY0 @ sK231_SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3439]) ).
thf(3579,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3440]) ).
thf(3580,plain,
( ( ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3440]) ).
thf(3586,plain,
! [SV230: $i] :
( ( ( sK1_SY0 @ SV230 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3446]) ).
thf(3587,plain,
( ( ( ~ ( sK1_SY0 @ sK233_SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3447]) ).
thf(3590,plain,
( ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3450]) ).
thf(3591,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3451]) ).
thf(3592,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3452]) ).
thf(3593,plain,
( ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3594,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3595,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3455]) ).
thf(3598,plain,
( ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3458]) ).
thf(3599,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3459]) ).
thf(3600,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3460]) ).
thf(3601,plain,
! [SV233: $i] :
( ( ( sK1_SY0 @ SV233 )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3461]) ).
thf(3602,plain,
( ( ( ~ ( sK1_SY0 @ sK236_SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3462]) ).
thf(3603,plain,
( ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3463]) ).
thf(3604,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3464]) ).
thf(3605,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3465]) ).
thf(3606,plain,
! [SV234: $i] :
( ( ( sK1_SY0 @ SV234 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3607,plain,
( ( ( ~ ( sK1_SY0 @ sK237_SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3467]) ).
thf(3608,plain,
! [SV235: $i] :
( ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3609,plain,
( ( ( ~ ( sK1_SY0 @ sK238_SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3469]) ).
thf(3610,plain,
( ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3470]) ).
thf(3611,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3471]) ).
thf(3612,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3472]) ).
thf(3613,plain,
( ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3473]) ).
thf(3614,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3474]) ).
thf(3615,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3475]) ).
thf(3616,plain,
! [SV236: $i] :
( ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3617,plain,
( ( ( ~ ( sK1_SY0 @ sK239_SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3477]) ).
thf(3618,plain,
( ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3478]) ).
thf(3619,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3479]) ).
thf(3620,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3480]) ).
thf(3623,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3483]) ).
thf(3624,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3484]) ).
thf(3625,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3485]) ).
thf(3628,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3488]) ).
thf(3629,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3489]) ).
thf(3630,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3490]) ).
thf(3631,plain,
! [SV59: $i,SV239: $i] :
( ( ( sK1_SY0 @ SV239 )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3491]) ).
thf(3632,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK242_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3492]) ).
thf(3633,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3493]) ).
thf(3634,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3494]) ).
thf(3635,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3495]) ).
thf(3636,plain,
! [SV59: $i,SV240: $i] :
( ( ( sK1_SY0 @ SV240 )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3496]) ).
thf(3637,plain,
! [SV59: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK243_SX0 @ SV59 ) ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3497]) ).
thf(3638,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3498]) ).
thf(3639,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3499]) ).
thf(3640,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3500]) ).
thf(3643,plain,
( ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3503]) ).
thf(3644,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3504]) ).
thf(3645,plain,
( ( ( sK185_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3505]) ).
thf(3648,plain,
( ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3508]) ).
thf(3649,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3509]) ).
thf(3650,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3510]) ).
thf(3653,plain,
( ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3513]) ).
thf(3654,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3514]) ).
thf(3655,plain,
( ( ( sK193_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3515]) ).
thf(3663,plain,
( ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3523]) ).
thf(3664,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3524]) ).
thf(3665,plain,
( ( ( sK191_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3525]) ).
thf(3672,plain,
( ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3532]) ).
thf(3673,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3533]) ).
thf(3674,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3534]) ).
thf(3678,plain,
( ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3538]) ).
thf(3679,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3539]) ).
thf(3680,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3540]) ).
thf(3683,plain,
( ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3543]) ).
thf(3684,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3544]) ).
thf(3685,plain,
( ( ( sK195_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3545]) ).
thf(3688,plain,
( ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3548]) ).
thf(3689,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3549]) ).
thf(3690,plain,
( ( ( sK194_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3550]) ).
thf(3693,plain,
( ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3553]) ).
thf(3694,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3554]) ).
thf(3695,plain,
( ( ( sK203_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3555]) ).
thf(3703,plain,
( ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3563]) ).
thf(3704,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3564]) ).
thf(3705,plain,
( ( ( sK201_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3565]) ).
thf(3712,plain,
( ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3572]) ).
thf(3713,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3573]) ).
thf(3714,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3574]) ).
thf(3718,plain,
( ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3578]) ).
thf(3719,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3579]) ).
thf(3720,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3580]) ).
thf(3725,plain,
! [SV230: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV230 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3586]) ).
thf(3726,plain,
( ( ( sK1_SY0 @ sK233_SX0 )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3587]) ).
thf(3729,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3590]) ).
thf(3730,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3731,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3732,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3592]) ).
thf(3733,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3593]) ).
thf(3734,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3594]) ).
thf(3737,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3598]) ).
thf(3738,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3599]) ).
thf(3739,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3740,plain,
! [SV233: $i] :
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV233 )
= $false )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3601]) ).
thf(3741,plain,
( ( ( sK1_SY0 @ sK236_SX0 )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3602]) ).
thf(3742,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3603]) ).
thf(3743,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3604]) ).
thf(3744,plain,
! [SV234: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV234 )
= $false )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3606]) ).
thf(3745,plain,
( ( ( sK1_SY0 @ sK237_SX0 )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3607]) ).
thf(3746,plain,
! [SV235: $i] :
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3608]) ).
thf(3747,plain,
( ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3609]) ).
thf(3748,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3610]) ).
thf(3749,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3611]) ).
thf(3750,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3751,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3612]) ).
thf(3752,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3613]) ).
thf(3753,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3614]) ).
thf(3754,plain,
! [SV236: $i] :
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3616]) ).
thf(3755,plain,
( ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3617]) ).
thf(3756,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3757,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3758,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3761,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3623]) ).
thf(3762,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3624]) ).
thf(3765,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3628]) ).
thf(3766,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3629]) ).
thf(3767,plain,
! [SV239: $i,SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV239 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3631]) ).
thf(3768,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK242_SX0 @ SV59 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3632]) ).
thf(3769,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3633]) ).
thf(3770,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3634]) ).
thf(3771,plain,
! [SV240: $i,SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV240 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3636]) ).
thf(3772,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ ( sK243_SX0 @ SV59 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3637]) ).
thf(3773,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3638]) ).
thf(3774,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3777,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3643]) ).
thf(3778,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3644]) ).
thf(3781,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3648]) ).
thf(3782,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3649]) ).
thf(3785,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3786,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3793,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3794,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3801,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3672]) ).
thf(3802,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3673]) ).
thf(3805,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3678]) ).
thf(3806,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3679]) ).
thf(3809,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3683]) ).
thf(3810,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3684]) ).
thf(3813,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3688]) ).
thf(3814,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3689]) ).
thf(3817,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3693]) ).
thf(3818,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3694]) ).
thf(3825,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3703]) ).
thf(3826,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3704]) ).
thf(3833,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3712]) ).
thf(3834,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3713]) ).
thf(3837,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(3838,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[3719]) ).
thf(3843,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK233_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3726]) ).
thf(3847,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3848,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3729]) ).
thf(3849,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3730]) ).
thf(3850,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3731]) ).
thf(3851,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3732]) ).
thf(3852,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3733]) ).
thf(3853,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3733]) ).
thf(3854,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3734]) ).
thf(3857,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3737]) ).
thf(3858,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3737]) ).
thf(3859,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3738]) ).
thf(3860,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3861,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK236_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3741]) ).
thf(3862,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3742]) ).
thf(3863,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3742]) ).
thf(3864,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3743]) ).
thf(3865,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK237_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3745]) ).
thf(3866,plain,
! [SV235: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3746]) ).
thf(3867,plain,
! [SV235: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3746]) ).
thf(3868,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3747]) ).
thf(3869,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3748]) ).
thf(3870,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3748]) ).
thf(3871,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3749]) ).
thf(3872,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3750]) ).
thf(3873,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3751]) ).
thf(3874,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(3875,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3752]) ).
thf(3876,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3753]) ).
thf(3877,plain,
! [SV236: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3754]) ).
thf(3878,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(3879,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3756]) ).
thf(3880,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3756]) ).
thf(3881,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3757]) ).
thf(3882,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3758]) ).
thf(3884,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3885,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3761]) ).
thf(3886,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3762]) ).
thf(3888,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3765]) ).
thf(3889,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3765]) ).
thf(3890,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3766]) ).
thf(3891,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK242_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3768]) ).
thf(3892,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3769]) ).
thf(3893,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3769]) ).
thf(3894,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3770]) ).
thf(3895,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK243_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3772]) ).
thf(3896,plain,
! [SV59: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3773]) ).
thf(3897,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3773]) ).
thf(3898,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3774]) ).
thf(3900,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3777]) ).
thf(3901,plain,
( ( ( sK185_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3777]) ).
thf(3902,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3778]) ).
thf(3904,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3781]) ).
thf(3905,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3781]) ).
thf(3906,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3782]) ).
thf(3908,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3785]) ).
thf(3909,plain,
( ( ( sK193_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3785]) ).
thf(3910,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3786]) ).
thf(3916,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3793]) ).
thf(3917,plain,
( ( ( sK191_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3793]) ).
thf(3918,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3794]) ).
thf(3922,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3923,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3801]) ).
thf(3924,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3802]) ).
thf(3928,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3805]) ).
thf(3929,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3805]) ).
thf(3930,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3806]) ).
thf(3932,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3809]) ).
thf(3933,plain,
( ( ( sK195_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3809]) ).
thf(3934,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3810]) ).
thf(3936,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3813]) ).
thf(3937,plain,
( ( ( sK194_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3813]) ).
thf(3938,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3814]) ).
thf(3940,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3817]) ).
thf(3941,plain,
( ( ( sK203_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3817]) ).
thf(3942,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3818]) ).
thf(3948,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3825]) ).
thf(3949,plain,
( ( ( sK201_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3825]) ).
thf(3950,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3826]) ).
thf(3954,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3833]) ).
thf(3955,plain,
( ( ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3833]) ).
thf(3956,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3834]) ).
thf(3960,plain,
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3837]) ).
thf(3961,plain,
( ( ( sK196_E
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[3837]) ).
thf(3962,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3838]) ).
thf(3970,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3847]) ).
thf(3971,plain,
( ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3848]) ).
thf(3972,plain,
! [SV258: $i] :
( ( ( ~ ( sK1_SY0 @ SV258 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3849]) ).
thf(3973,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3850]) ).
thf(3974,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3851]) ).
thf(3975,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3852]) ).
thf(3976,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3853]) ).
thf(3977,plain,
! [SV259: $i] :
( ( ( ~ ( sK1_SY0 @ SV259 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3854]) ).
thf(3980,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3857]) ).
thf(3981,plain,
( ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3858]) ).
thf(3982,plain,
! [SV260: $i] :
( ( ( ~ ( sK1_SY0 @ SV260 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3859]) ).
thf(3983,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3860]) ).
thf(3984,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3860]) ).
thf(3985,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3862]) ).
thf(3986,plain,
( ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(3987,plain,
! [SV261: $i] :
( ( ( ~ ( sK1_SY0 @ SV261 ) )
= $true )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3864]) ).
thf(3988,plain,
! [SV235: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3866]) ).
thf(3989,plain,
! [SV235: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3867]) ).
thf(3990,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3868]) ).
thf(3991,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3868]) ).
thf(3992,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3869]) ).
thf(3993,plain,
( ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3870]) ).
thf(3994,plain,
! [SV262: $i] :
( ( ( ~ ( sK1_SY0 @ SV262 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3871]) ).
thf(3995,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3872]) ).
thf(3996,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3873]) ).
thf(3997,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3874]) ).
thf(3998,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3875]) ).
thf(3999,plain,
! [SV263: $i] :
( ( ( ~ ( sK1_SY0 @ SV263 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3876]) ).
thf(4000,plain,
! [SV236: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(4001,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(4002,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3879]) ).
thf(4003,plain,
( ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3880]) ).
thf(4004,plain,
! [SV264: $i] :
( ( ( ~ ( sK1_SY0 @ SV264 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3881]) ).
thf(4005,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3882]) ).
thf(4006,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3882]) ).
thf(4007,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3884]) ).
thf(4008,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3885]) ).
thf(4009,plain,
! [SV59: $i,SV265: $i] :
( ( ( ~ ( sK1_SY0 @ SV265 ) )
= $true )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3886]) ).
thf(4010,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3888]) ).
thf(4011,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3889]) ).
thf(4012,plain,
! [SV59: $i,SV266: $i] :
( ( ( ~ ( sK1_SY0 @ SV266 ) )
= $true )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3890]) ).
thf(4013,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3892]) ).
thf(4014,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3893]) ).
thf(4015,plain,
! [SV59: $i,SV267: $i] :
( ( ( ~ ( sK1_SY0 @ SV267 ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3894]) ).
thf(4016,plain,
! [SV59: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3896]) ).
thf(4017,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3897]) ).
thf(4018,plain,
! [SV59: $i,SV268: $i] :
( ( ( ~ ( sK1_SY0 @ SV268 ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3898]) ).
thf(4019,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3900]) ).
thf(4020,plain,
( ( ( sK185_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3901]) ).
thf(4021,plain,
! [SV269: $i] :
( ( ( ~ ( sK1_SY0 @ SV269 ) )
= $true )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3902]) ).
thf(4022,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3904]) ).
thf(4023,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3905]) ).
thf(4024,plain,
! [SV270: $i] :
( ( ( ~ ( sK1_SY0 @ SV270 ) )
= $true )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3906]) ).
thf(4025,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3908]) ).
thf(4026,plain,
( ( ( sK193_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3909]) ).
thf(4027,plain,
! [SV271: $i] :
( ( ( ~ ( sK1_SY0 @ SV271 ) )
= $true )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3910]) ).
thf(4031,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3916]) ).
thf(4032,plain,
( ( ( sK191_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3917]) ).
thf(4033,plain,
! [SV273: $i] :
( ( ( ~ ( sK1_SY0 @ SV273 ) )
= $true )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3918]) ).
thf(4034,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3922]) ).
thf(4035,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3923]) ).
thf(4036,plain,
! [SV274: $i] :
( ( ( ~ ( sK1_SY0 @ SV274 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3924]) ).
thf(4040,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3928]) ).
thf(4041,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3929]) ).
thf(4042,plain,
! [SV276: $i] :
( ( ( ~ ( sK1_SY0 @ SV276 ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3930]) ).
thf(4043,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3932]) ).
thf(4044,plain,
( ( ( sK195_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3933]) ).
thf(4045,plain,
! [SV277: $i] :
( ( ( ~ ( sK1_SY0 @ SV277 ) )
= $true )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3934]) ).
thf(4046,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3936]) ).
thf(4047,plain,
( ( ( sK194_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3937]) ).
thf(4048,plain,
! [SV278: $i] :
( ( ( ~ ( sK1_SY0 @ SV278 ) )
= $true )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3938]) ).
thf(4049,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3940]) ).
thf(4050,plain,
( ( ( sK203_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3941]) ).
thf(4051,plain,
! [SV279: $i] :
( ( ( ~ ( sK1_SY0 @ SV279 ) )
= $true )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3942]) ).
thf(4055,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3948]) ).
thf(4056,plain,
( ( ( sK201_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3949]) ).
thf(4057,plain,
! [SV281: $i] :
( ( ( ~ ( sK1_SY0 @ SV281 ) )
= $true )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3950]) ).
thf(4058,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3954]) ).
thf(4059,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3955]) ).
thf(4060,plain,
! [SV282: $i] :
( ( ( ~ ( sK1_SY0 @ SV282 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3956]) ).
thf(4064,plain,
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3960]) ).
thf(4065,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[3961]) ).
thf(4066,plain,
! [SV284: $i] :
( ( ( ~ ( sK1_SY0 @ SV284 ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3962]) ).
thf(4073,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3970]) ).
thf(4074,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3971]) ).
thf(4075,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3971]) ).
thf(4076,plain,
! [SV258: $i] :
( ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4077,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(4078,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3974]) ).
thf(4079,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4080,plain,
! [SV259: $i] :
( ( ( sK1_SY0 @ SV259 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3977]) ).
thf(4084,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3980]) ).
thf(4085,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3981]) ).
thf(4086,plain,
! [SV260: $i] :
( ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3982]) ).
thf(4087,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3983]) ).
thf(4088,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3984]) ).
thf(4089,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3985]) ).
thf(4090,plain,
! [SV261: $i] :
( ( ( sK1_SY0 @ SV261 )
= $false )
| ( ( ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3987]) ).
thf(4091,plain,
! [SV235: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3988]) ).
thf(4092,plain,
! [SV235: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3989]) ).
thf(4093,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3990]) ).
thf(4094,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3991]) ).
thf(4095,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(4096,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3993]) ).
thf(4097,plain,
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3993]) ).
thf(4098,plain,
! [SV262: $i] :
( ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3994]) ).
thf(4099,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3995]) ).
thf(4100,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3996]) ).
thf(4101,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4102,plain,
! [SV263: $i] :
( ( ( sK1_SY0 @ SV263 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3999]) ).
thf(4103,plain,
! [SV236: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4000]) ).
thf(4104,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4000]) ).
thf(4105,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4001]) ).
thf(4106,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4002]) ).
thf(4107,plain,
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4003]) ).
thf(4108,plain,
! [SV264: $i] :
( ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4004]) ).
thf(4109,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4005]) ).
thf(4110,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4006]) ).
thf(4111,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4007]) ).
thf(4112,plain,
! [SV59: $i,SV265: $i] :
( ( ( sK1_SY0 @ SV265 )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4009]) ).
thf(4113,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4010]) ).
thf(4114,plain,
! [SV59: $i,SV266: $i] :
( ( ( sK1_SY0 @ SV266 )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4012]) ).
thf(4115,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4013]) ).
thf(4116,plain,
! [SV59: $i,SV267: $i] :
( ( ( sK1_SY0 @ SV267 )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4015]) ).
thf(4117,plain,
! [SV59: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4016]) ).
thf(4118,plain,
! [SV59: $i,SV268: $i] :
( ( ( sK1_SY0 @ SV268 )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4018]) ).
thf(4119,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4019]) ).
thf(4120,plain,
! [SV269: $i] :
( ( ( sK1_SY0 @ SV269 )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4021]) ).
thf(4121,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4022]) ).
thf(4122,plain,
! [SV270: $i] :
( ( ( sK1_SY0 @ SV270 )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4024]) ).
thf(4123,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4124,plain,
! [SV271: $i] :
( ( ( sK1_SY0 @ SV271 )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4027]) ).
thf(4127,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4128,plain,
! [SV273: $i] :
( ( ( sK1_SY0 @ SV273 )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4033]) ).
thf(4129,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4034]) ).
thf(4130,plain,
! [SV274: $i] :
( ( ( sK1_SY0 @ SV274 )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4036]) ).
thf(4133,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4040]) ).
thf(4134,plain,
! [SV276: $i] :
( ( ( sK1_SY0 @ SV276 )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4042]) ).
thf(4135,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4043]) ).
thf(4136,plain,
! [SV277: $i] :
( ( ( sK1_SY0 @ SV277 )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4045]) ).
thf(4137,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4046]) ).
thf(4138,plain,
! [SV278: $i] :
( ( ( sK1_SY0 @ SV278 )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4048]) ).
thf(4139,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4049]) ).
thf(4140,plain,
! [SV279: $i] :
( ( ( sK1_SY0 @ SV279 )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4051]) ).
thf(4143,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4055]) ).
thf(4144,plain,
! [SV281: $i] :
( ( ( sK1_SY0 @ SV281 )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4145,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4058]) ).
thf(4146,plain,
! [SV282: $i] :
( ( ( sK1_SY0 @ SV282 )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4060]) ).
thf(4149,plain,
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4064]) ).
thf(4150,plain,
! [SV284: $i] :
( ( ( sK1_SY0 @ SV284 )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4066]) ).
thf(4156,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4073]) ).
thf(4157,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4074]) ).
thf(4158,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4075]) ).
thf(4159,plain,
! [SV258: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4076]) ).
thf(4160,plain,
! [SV258: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4076]) ).
thf(4161,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4077]) ).
thf(4162,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4078]) ).
thf(4163,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4079]) ).
thf(4168,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4084]) ).
thf(4169,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4085]) ).
thf(4170,plain,
! [SV260: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4086]) ).
thf(4171,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4087]) ).
thf(4172,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4088]) ).
thf(4173,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4089]) ).
thf(4174,plain,
! [SV235: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4175,plain,
! [SV235: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4092]) ).
thf(4176,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4093]) ).
thf(4177,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4094]) ).
thf(4178,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4095]) ).
thf(4179,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4096]) ).
thf(4180,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4097]) ).
thf(4181,plain,
! [SV262: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4098]) ).
thf(4182,plain,
! [SV262: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4098]) ).
thf(4183,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4099]) ).
thf(4184,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4100]) ).
thf(4185,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4101]) ).
thf(4186,plain,
! [SV236: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4103]) ).
thf(4187,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4104]) ).
thf(4188,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4105]) ).
thf(4189,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4105]) ).
thf(4190,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4106]) ).
thf(4191,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4107]) ).
thf(4192,plain,
! [SV264: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4108]) ).
thf(4193,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4109]) ).
thf(4194,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4110]) ).
thf(4195,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4111]) ).
thf(4196,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4113]) ).
thf(4197,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4115]) ).
thf(4198,plain,
! [SV59: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4117]) ).
thf(4199,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4119]) ).
thf(4200,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4121]) ).
thf(4201,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4123]) ).
thf(4203,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4127]) ).
thf(4204,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4129]) ).
thf(4206,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4133]) ).
thf(4207,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4135]) ).
thf(4208,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4137]) ).
thf(4209,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4139]) ).
thf(4211,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4143]) ).
thf(4212,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4145]) ).
thf(4214,plain,
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4149]) ).
thf(4220,plain,
! [SV286: $i] :
( ( ( ~ ( sK1_SY0 @ SV286 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4156]) ).
thf(4221,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4157]) ).
thf(4222,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4158]) ).
thf(4223,plain,
! [SV258: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4159]) ).
thf(4224,plain,
! [SV258: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4160]) ).
thf(4225,plain,
! [SV287: $i] :
( ( ( ~ ( sK1_SY0 @ SV287 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4161]) ).
thf(4226,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4162]) ).
thf(4227,plain,
! [SV288: $i] :
( ( ( ~ ( sK1_SY0 @ SV288 ) )
= $true )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4163]) ).
thf(4232,plain,
! [SV289: $i] :
( ( ( ~ ( sK1_SY0 @ SV289 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4168]) ).
thf(4233,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4169]) ).
thf(4234,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4169]) ).
thf(4235,plain,
! [SV260: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4170]) ).
thf(4236,plain,
( ( ( ~ ( sK1_SY0 @ sK260_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4171]) ).
thf(4237,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4172]) ).
thf(4238,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4172]) ).
thf(4239,plain,
! [SV290: $i] :
( ( ( ~ ( sK1_SY0 @ SV290 ) )
= $true )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4173]) ).
thf(4240,plain,
! [SV235: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4174]) ).
thf(4241,plain,
! [SV235: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4175]) ).
thf(4242,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4176]) ).
thf(4243,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4177]) ).
thf(4244,plain,
! [SV291: $i] :
( ( ( ~ ( sK1_SY0 @ SV291 ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4178]) ).
thf(4245,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4179]) ).
thf(4246,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4180]) ).
thf(4247,plain,
! [SV262: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4181]) ).
thf(4248,plain,
! [SV262: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4182]) ).
thf(4249,plain,
! [SV292: $i] :
( ( ( ~ ( sK1_SY0 @ SV292 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4183]) ).
thf(4250,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4184]) ).
thf(4251,plain,
! [SV293: $i] :
( ( ( ~ ( sK1_SY0 @ SV293 ) )
= $true )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4185]) ).
thf(4252,plain,
! [SV236: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4186]) ).
thf(4253,plain,
! [SV236: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4187]) ).
thf(4254,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4188]) ).
thf(4255,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4189]) ).
thf(4256,plain,
! [SV294: $i] :
( ( ( ~ ( sK1_SY0 @ SV294 ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4190]) ).
thf(4257,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4191]) ).
thf(4258,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4191]) ).
thf(4259,plain,
! [SV264: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4192]) ).
thf(4260,plain,
( ( ( ~ ( sK1_SY0 @ sK261_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4193]) ).
thf(4261,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4194]) ).
thf(4262,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4194]) ).
thf(4263,plain,
! [SV59: $i,SV295: $i] :
( ( ( ~ ( sK1_SY0 @ SV295 ) )
= $true )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4195]) ).
thf(4264,plain,
! [SV59: $i,SV296: $i] :
( ( ( ~ ( sK1_SY0 @ SV296 ) )
= $true )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4196]) ).
thf(4265,plain,
! [SV59: $i,SV297: $i] :
( ( ( ~ ( sK1_SY0 @ SV297 ) )
= $true )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4197]) ).
thf(4266,plain,
! [SV59: $i,SV298: $i] :
( ( ( ~ ( sK1_SY0 @ SV298 ) )
= $true )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4198]) ).
thf(4267,plain,
! [SV299: $i] :
( ( ( ~ ( sK1_SY0 @ SV299 ) )
= $true )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4199]) ).
thf(4268,plain,
! [SV300: $i] :
( ( ( ~ ( sK1_SY0 @ SV300 ) )
= $true )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4200]) ).
thf(4269,plain,
! [SV301: $i] :
( ( ( ~ ( sK1_SY0 @ SV301 ) )
= $true )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4201]) ).
thf(4271,plain,
! [SV303: $i] :
( ( ( ~ ( sK1_SY0 @ SV303 ) )
= $true )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4203]) ).
thf(4272,plain,
! [SV304: $i] :
( ( ( ~ ( sK1_SY0 @ SV304 ) )
= $true )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4204]) ).
thf(4274,plain,
! [SV306: $i] :
( ( ( ~ ( sK1_SY0 @ SV306 ) )
= $true )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4206]) ).
thf(4275,plain,
! [SV307: $i] :
( ( ( ~ ( sK1_SY0 @ SV307 ) )
= $true )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4207]) ).
thf(4276,plain,
! [SV308: $i] :
( ( ( ~ ( sK1_SY0 @ SV308 ) )
= $true )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4208]) ).
thf(4277,plain,
! [SV309: $i] :
( ( ( ~ ( sK1_SY0 @ SV309 ) )
= $true )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4209]) ).
thf(4279,plain,
! [SV311: $i] :
( ( ( ~ ( sK1_SY0 @ SV311 ) )
= $true )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4211]) ).
thf(4280,plain,
! [SV312: $i] :
( ( ( ~ ( sK1_SY0 @ SV312 ) )
= $true )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4212]) ).
thf(4282,plain,
! [SV314: $i] :
( ( ( ~ ( sK1_SY0 @ SV314 ) )
= $true )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4214]) ).
thf(4288,plain,
! [SV286: $i] :
( ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4289,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4221]) ).
thf(4290,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4291,plain,
! [SV258: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4223]) ).
thf(4292,plain,
! [SV258: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4224]) ).
thf(4293,plain,
! [SV287: $i] :
( ( ( sK1_SY0 @ SV287 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4225]) ).
thf(4294,plain,
( ( ( ~ ( sK1_SY0 @ sK262_SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4226]) ).
thf(4295,plain,
! [SV288: $i] :
( ( ( sK1_SY0 @ SV288 )
= $false )
| ( ( sK1_SY0 @ sK206_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4227]) ).
thf(4301,plain,
! [SV289: $i] :
( ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4232]) ).
thf(4302,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4233]) ).
thf(4303,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4234]) ).
thf(4304,plain,
! [SV260: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4235]) ).
thf(4305,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4235]) ).
thf(4306,plain,
( ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4236]) ).
thf(4307,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4237]) ).
thf(4308,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4238]) ).
thf(4309,plain,
! [SV290: $i] :
( ( ( sK1_SY0 @ SV290 )
= $false )
| ( ( sK1_SY0 @ sK208_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK177_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4239]) ).
thf(4310,plain,
! [SV235: $i,SV316: $i] :
( ( ( ~ ( sK1_SY0 @ SV316 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4240]) ).
thf(4311,plain,
! [SV235: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4241]) ).
thf(4312,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4242]) ).
thf(4313,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4243]) ).
thf(4314,plain,
! [SV291: $i] :
( ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4315,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4245]) ).
thf(4316,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4246]) ).
thf(4317,plain,
! [SV262: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4247]) ).
thf(4318,plain,
! [SV262: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4248]) ).
thf(4319,plain,
! [SV292: $i] :
( ( ( sK1_SY0 @ SV292 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4249]) ).
thf(4320,plain,
( ( ( ~ ( sK1_SY0 @ sK264_SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4250]) ).
thf(4321,plain,
! [SV293: $i] :
( ( ( sK1_SY0 @ SV293 )
= $false )
| ( ( sK1_SY0 @ sK210_SX0 )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4251]) ).
thf(4322,plain,
! [SV236: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4252]) ).
thf(4323,plain,
! [SV236: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4253]) ).
thf(4324,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4253]) ).
thf(4325,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4254]) ).
thf(4326,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4255]) ).
thf(4327,plain,
! [SV294: $i] :
( ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4328,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4257]) ).
thf(4329,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4258]) ).
thf(4330,plain,
! [SV264: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4259]) ).
thf(4331,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4259]) ).
thf(4332,plain,
( ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4260]) ).
thf(4333,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4261]) ).
thf(4334,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4262]) ).
thf(4335,plain,
! [SV59: $i,SV295: $i] :
( ( ( sK1_SY0 @ SV295 )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4263]) ).
thf(4336,plain,
! [SV59: $i,SV296: $i] :
( ( ( sK1_SY0 @ SV296 )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4264]) ).
thf(4337,plain,
! [SV59: $i,SV297: $i] :
( ( ( sK1_SY0 @ SV297 )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4265]) ).
thf(4338,plain,
! [SV59: $i,SV298: $i] :
( ( ( sK1_SY0 @ SV298 )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4339,plain,
! [SV299: $i] :
( ( ( sK1_SY0 @ SV299 )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4267]) ).
thf(4340,plain,
! [SV300: $i] :
( ( ( sK1_SY0 @ SV300 )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4268]) ).
thf(4341,plain,
! [SV301: $i] :
( ( ( sK1_SY0 @ SV301 )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4269]) ).
thf(4343,plain,
! [SV303: $i] :
( ( ( sK1_SY0 @ SV303 )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4271]) ).
thf(4344,plain,
! [SV304: $i] :
( ( ( sK1_SY0 @ SV304 )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4272]) ).
thf(4346,plain,
! [SV306: $i] :
( ( ( sK1_SY0 @ SV306 )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( $false = $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4274]) ).
thf(4347,plain,
! [SV307: $i] :
( ( ( sK1_SY0 @ SV307 )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4275]) ).
thf(4348,plain,
! [SV308: $i] :
( ( ( sK1_SY0 @ SV308 )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4276]) ).
thf(4349,plain,
! [SV309: $i] :
( ( ( sK1_SY0 @ SV309 )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4277]) ).
thf(4351,plain,
! [SV311: $i] :
( ( ( sK1_SY0 @ SV311 )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4279]) ).
thf(4352,plain,
! [SV312: $i] :
( ( ( sK1_SY0 @ SV312 )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4280]) ).
thf(4354,plain,
! [SV314: $i] :
( ( ( sK1_SY0 @ SV314 )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4282]) ).
thf(4359,plain,
! [SV286: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4288]) ).
thf(4360,plain,
! [SV286: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4288]) ).
thf(4361,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4289]) ).
thf(4362,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4290]) ).
thf(4363,plain,
! [SV258: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4291]) ).
thf(4364,plain,
! [SV258: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4292]) ).
thf(4365,plain,
! [SV287: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV287 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4293]) ).
thf(4366,plain,
( ( ( sK1_SY0 @ sK262_SX0 )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4294]) ).
thf(4373,plain,
! [SV289: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4301]) ).
thf(4374,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4302]) ).
thf(4375,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4303]) ).
thf(4376,plain,
! [SV260: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4304]) ).
thf(4377,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4305]) ).
thf(4378,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4306]) ).
thf(4379,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4307]) ).
thf(4380,plain,
! [SV235: $i,SV316: $i] :
( ( ( sK1_SY0 @ SV316 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4310]) ).
thf(4381,plain,
! [SV235: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK268_SX0 @ SV235 ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4311]) ).
thf(4382,plain,
! [SV318: $i] :
( ( ( ~ ( sK1_SY0 @ SV318 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4312]) ).
thf(4383,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4313]) ).
thf(4384,plain,
! [SV291: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4314]) ).
thf(4385,plain,
! [SV291: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4314]) ).
thf(4386,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4315]) ).
thf(4387,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4316]) ).
thf(4388,plain,
! [SV262: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4317]) ).
thf(4389,plain,
! [SV262: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4318]) ).
thf(4390,plain,
! [SV292: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV292 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4319]) ).
thf(4391,plain,
( ( ( sK1_SY0 @ sK264_SX0 )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4320]) ).
thf(4392,plain,
! [SV236: $i] :
( ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4322]) ).
thf(4393,plain,
! [SV236: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4323]) ).
thf(4394,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4324]) ).
thf(4395,plain,
( ( ( ~ ( sK1_SY0 @ sK269_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4325]) ).
thf(4396,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4326]) ).
thf(4397,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4326]) ).
thf(4398,plain,
! [SV294: $i] :
( ( ( ~ ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4327]) ).
thf(4399,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4400,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4329]) ).
thf(4401,plain,
! [SV264: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4330]) ).
thf(4402,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4331]) ).
thf(4403,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4332]) ).
thf(4404,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4333]) ).
thf(4409,plain,
! [SV286: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4359]) ).
thf(4410,plain,
! [SV286: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4360]) ).
thf(4411,plain,
! [SV319: $i] :
( ( ( ~ ( sK1_SY0 @ SV319 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4361]) ).
thf(4412,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4362]) ).
thf(4413,plain,
! [SV258: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4363]) ).
thf(4414,plain,
! [SV258: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4364]) ).
thf(4415,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK262_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4366]) ).
thf(4421,plain,
! [SV289: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4422,plain,
( ( ( ~ ( sK1_SY0 @ sK271_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4374]) ).
thf(4423,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4375]) ).
thf(4424,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4375]) ).
thf(4425,plain,
! [SV260: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4376]) ).
thf(4426,plain,
! [SV260: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4377]) ).
thf(4427,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4378]) ).
thf(4428,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4378]) ).
thf(4429,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4379]) ).
thf(4430,plain,
! [SV235: $i,SV316: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV316 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4380]) ).
thf(4431,plain,
! [SV235: $i] :
( ( ( sK1_SY0 @ ( sK268_SX0 @ SV235 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4381]) ).
thf(4432,plain,
! [SV318: $i] :
( ( ( sK1_SY0 @ SV318 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4382]) ).
thf(4433,plain,
( ( ( ~ ( sK1_SY0 @ sK272_SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4383]) ).
thf(4434,plain,
! [SV291: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4384]) ).
thf(4435,plain,
! [SV291: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4385]) ).
thf(4436,plain,
! [SV320: $i] :
( ( ( ~ ( sK1_SY0 @ SV320 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4386]) ).
thf(4437,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4387]) ).
thf(4438,plain,
! [SV262: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4388]) ).
thf(4439,plain,
! [SV262: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4389]) ).
thf(4440,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK264_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4391]) ).
thf(4441,plain,
! [SV236: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4392]) ).
thf(4442,plain,
! [SV236: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4393]) ).
thf(4443,plain,
( ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4395]) ).
thf(4444,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4396]) ).
thf(4445,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4397]) ).
thf(4446,plain,
! [SV294: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4398]) ).
thf(4447,plain,
( ( ( ~ ( sK1_SY0 @ sK273_SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4399]) ).
thf(4448,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4400]) ).
thf(4449,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4400]) ).
thf(4450,plain,
! [SV264: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4401]) ).
thf(4451,plain,
! [SV264: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4402]) ).
thf(4452,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4403]) ).
thf(4453,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4403]) ).
thf(4454,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4404]) ).
thf(4458,plain,
! [SV286: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4409]) ).
thf(4459,plain,
! [SV286: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4410]) ).
thf(4460,plain,
! [SV319: $i] :
( ( ( sK1_SY0 @ SV319 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4411]) ).
thf(4461,plain,
( ( ( ~ ( sK1_SY0 @ sK274_SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4412]) ).
thf(4462,plain,
! [SV258: $i,SV321: $i] :
( ( ( ~ ( sK1_SY0 @ SV321 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4413]) ).
thf(4463,plain,
! [SV258: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4469,plain,
! [SV289: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4421]) ).
thf(4470,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4421]) ).
thf(4471,plain,
( ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4422]) ).
thf(4472,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4423]) ).
thf(4473,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4424]) ).
thf(4474,plain,
! [SV260: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4425]) ).
thf(4475,plain,
! [SV260: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4426]) ).
thf(4476,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4426]) ).
thf(4477,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4427]) ).
thf(4478,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4428]) ).
thf(4479,plain,
! [SV322: $i] :
( ( ( ~ ( sK1_SY0 @ SV322 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4429]) ).
thf(4480,plain,
! [SV235: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK268_SX0 @ SV235 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV235 )
= $false )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4431]) ).
thf(4481,plain,
! [SV318: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV318 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4432]) ).
thf(4482,plain,
( ( ( sK1_SY0 @ sK272_SX0 )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4433]) ).
thf(4483,plain,
! [SV291: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4434]) ).
thf(4484,plain,
! [SV291: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4435]) ).
thf(4485,plain,
! [SV320: $i] :
( ( ( sK1_SY0 @ SV320 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4486,plain,
( ( ( ~ ( sK1_SY0 @ sK276_SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4437]) ).
thf(4487,plain,
! [SV262: $i,SV323: $i] :
( ( ( ~ ( sK1_SY0 @ SV323 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4438]) ).
thf(4488,plain,
! [SV262: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4439]) ).
thf(4489,plain,
! [SV236: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4441]) ).
thf(4490,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4441]) ).
thf(4491,plain,
! [SV236: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4442]) ).
thf(4492,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4443]) ).
thf(4493,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4444]) ).
thf(4494,plain,
! [SV294: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4446]) ).
thf(4495,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4446]) ).
thf(4496,plain,
( ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4447]) ).
thf(4497,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4448]) ).
thf(4498,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4449]) ).
thf(4499,plain,
! [SV264: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4450]) ).
thf(4500,plain,
! [SV264: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4501,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4451]) ).
thf(4502,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4452]) ).
thf(4503,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4453]) ).
thf(4504,plain,
! [SV324: $i] :
( ( ( ~ ( sK1_SY0 @ SV324 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4454]) ).
thf(4506,plain,
! [SV286: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4458]) ).
thf(4507,plain,
! [SV286: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4459]) ).
thf(4508,plain,
! [SV319: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV319 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4460]) ).
thf(4509,plain,
( ( ( sK1_SY0 @ sK274_SX0 )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4461]) ).
thf(4510,plain,
! [SV258: $i,SV321: $i] :
( ( ( sK1_SY0 @ SV321 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4462]) ).
thf(4511,plain,
! [SV258: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK278_SX0 @ SV258 ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4463]) ).
thf(4518,plain,
! [SV289: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4469]) ).
thf(4519,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4470]) ).
thf(4520,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4471]) ).
thf(4521,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4472]) ).
thf(4522,plain,
! [SV260: $i] :
( ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4474]) ).
thf(4523,plain,
! [SV260: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4475]) ).
thf(4524,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4476]) ).
thf(4525,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4477]) ).
thf(4526,plain,
! [SV322: $i] :
( ( ( sK1_SY0 @ SV322 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4479]) ).
thf(4527,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK272_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK238_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4482]) ).
thf(4528,plain,
! [SV291: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4483]) ).
thf(4529,plain,
! [SV291: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4484]) ).
thf(4530,plain,
! [SV320: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV320 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4485]) ).
thf(4531,plain,
( ( ( sK1_SY0 @ sK276_SX0 )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4486]) ).
thf(4532,plain,
! [SV262: $i,SV323: $i] :
( ( ( sK1_SY0 @ SV323 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4487]) ).
thf(4533,plain,
! [SV262: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK279_SX0 @ SV262 ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4488]) ).
thf(4534,plain,
! [SV236: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4489]) ).
thf(4535,plain,
! [SV236: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4490]) ).
thf(4536,plain,
! [SV236: $i,SV326: $i] :
( ( ( ~ ( sK1_SY0 @ SV326 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4491]) ).
thf(4537,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4492]) ).
thf(4538,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4492]) ).
thf(4539,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4493]) ).
thf(4540,plain,
! [SV294: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4494]) ).
thf(4541,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4495]) ).
thf(4542,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4496]) ).
thf(4543,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4497]) ).
thf(4544,plain,
! [SV264: $i] :
( ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4499]) ).
thf(4545,plain,
! [SV264: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4500]) ).
thf(4546,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4501]) ).
thf(4547,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4502]) ).
thf(4548,plain,
! [SV324: $i] :
( ( ( sK1_SY0 @ SV324 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4504]) ).
thf(4549,plain,
! [SV286: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4506]) ).
thf(4550,plain,
! [SV286: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4507]) ).
thf(4551,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK274_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4509]) ).
thf(4552,plain,
! [SV258: $i,SV321: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV321 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4510]) ).
thf(4553,plain,
! [SV258: $i] :
( ( ( sK1_SY0 @ ( sK278_SX0 @ SV258 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4511]) ).
thf(4559,plain,
! [SV289: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4518]) ).
thf(4560,plain,
! [SV289: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4519]) ).
thf(4561,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4520]) ).
thf(4562,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4520]) ).
thf(4563,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4521]) ).
thf(4564,plain,
! [SV260: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4522]) ).
thf(4565,plain,
! [SV260: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4523]) ).
thf(4566,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4525]) ).
thf(4567,plain,
! [SV291: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4528]) ).
thf(4568,plain,
! [SV291: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4529]) ).
thf(4569,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK276_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4531]) ).
thf(4570,plain,
! [SV262: $i,SV323: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV323 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4532]) ).
thf(4571,plain,
! [SV262: $i] :
( ( ( sK1_SY0 @ ( sK279_SX0 @ SV262 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4533]) ).
thf(4572,plain,
! [SV236: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4534]) ).
thf(4573,plain,
! [SV236: $i,SV326: $i] :
( ( ( sK1_SY0 @ SV326 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4536]) ).
thf(4574,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4537]) ).
thf(4575,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4538]) ).
thf(4576,plain,
! [SV328: $i] :
( ( ( ~ ( sK1_SY0 @ SV328 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4539]) ).
thf(4577,plain,
! [SV294: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4540]) ).
thf(4578,plain,
! [SV294: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4541]) ).
thf(4579,plain,
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4580,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4542]) ).
thf(4581,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4543]) ).
thf(4582,plain,
! [SV264: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4544]) ).
thf(4583,plain,
! [SV264: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4545]) ).
thf(4584,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4547]) ).
thf(4585,plain,
! [SV286: $i,SV329: $i] :
( ( ( ~ ( sK1_SY0 @ SV329 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4549]) ).
thf(4586,plain,
! [SV286: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4550]) ).
thf(4587,plain,
! [SV258: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK278_SX0 @ SV258 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4553]) ).
thf(4591,plain,
! [SV289: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4559]) ).
thf(4592,plain,
! [SV289: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4560]) ).
thf(4593,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4560]) ).
thf(4594,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4561]) ).
thf(4595,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4562]) ).
thf(4596,plain,
! [SV330: $i] :
( ( ( ~ ( sK1_SY0 @ SV330 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4563]) ).
thf(4597,plain,
! [SV260: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4564]) ).
thf(4598,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4564]) ).
thf(4599,plain,
! [SV260: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4565]) ).
thf(4600,plain,
! [SV331: $i] :
( ( ( ~ ( sK1_SY0 @ SV331 ) )
= $true )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4566]) ).
thf(4601,plain,
! [SV291: $i,SV332: $i] :
( ( ( ~ ( sK1_SY0 @ SV332 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4567]) ).
thf(4602,plain,
! [SV291: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4568]) ).
thf(4603,plain,
! [SV262: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK279_SX0 @ SV262 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV262 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4571]) ).
thf(4604,plain,
! [SV236: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4572]) ).
thf(4605,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4574]) ).
thf(4606,plain,
! [SV328: $i] :
( ( ( sK1_SY0 @ SV328 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4576]) ).
thf(4607,plain,
! [SV294: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4577]) ).
thf(4608,plain,
! [SV294: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4578]) ).
thf(4609,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4578]) ).
thf(4610,plain,
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4579]) ).
thf(4611,plain,
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4580]) ).
thf(4612,plain,
! [SV333: $i] :
( ( ( ~ ( sK1_SY0 @ SV333 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4581]) ).
thf(4613,plain,
! [SV264: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4614,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4582]) ).
thf(4615,plain,
! [SV264: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4583]) ).
thf(4616,plain,
! [SV334: $i] :
( ( ( ~ ( sK1_SY0 @ SV334 ) )
= $true )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4584]) ).
thf(4617,plain,
! [SV286: $i,SV329: $i] :
( ( ( sK1_SY0 @ SV329 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4585]) ).
thf(4618,plain,
! [SV286: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK282_SX0 @ SV286 ) ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4586]) ).
thf(4621,plain,
! [SV289: $i] :
( ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4591]) ).
thf(4622,plain,
! [SV289: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4592]) ).
thf(4623,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4593]) ).
thf(4624,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4594]) ).
thf(4625,plain,
! [SV330: $i] :
( ( ( sK1_SY0 @ SV330 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4596]) ).
thf(4626,plain,
! [SV260: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4597]) ).
thf(4627,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4598]) ).
thf(4628,plain,
! [SV260: $i,SV336: $i] :
( ( ( ~ ( sK1_SY0 @ SV336 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4599]) ).
thf(4629,plain,
! [SV331: $i] :
( ( ( sK1_SY0 @ SV331 )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4600]) ).
thf(4630,plain,
! [SV291: $i,SV332: $i] :
( ( ( sK1_SY0 @ SV332 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4601]) ).
thf(4631,plain,
! [SV291: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK283_SX0 @ SV291 ) ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4602]) ).
thf(4632,plain,
! [SV236: $i,SV337: $i] :
( ( ( ~ ( sK1_SY0 @ SV337 ) )
= $true )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4604]) ).
thf(4633,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4605]) ).
thf(4634,plain,
! [SV294: $i] :
( ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4607]) ).
thf(4635,plain,
! [SV294: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4608]) ).
thf(4636,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4609]) ).
thf(4637,plain,
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4610]) ).
thf(4638,plain,
! [SV333: $i] :
( ( ( sK1_SY0 @ SV333 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4612]) ).
thf(4639,plain,
! [SV264: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4613]) ).
thf(4640,plain,
! [SV264: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4614]) ).
thf(4641,plain,
! [SV264: $i,SV338: $i] :
( ( ( ~ ( sK1_SY0 @ SV338 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4615]) ).
thf(4642,plain,
! [SV334: $i] :
( ( ( sK1_SY0 @ SV334 )
= $false )
| ( ( sK1_SY0 @ sK261_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4616]) ).
thf(4643,plain,
! [SV286: $i,SV329: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV329 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4617]) ).
thf(4644,plain,
! [SV286: $i] :
( ( ( sK1_SY0 @ ( sK282_SX0 @ SV286 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4618]) ).
thf(4647,plain,
! [SV289: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4621]) ).
thf(4648,plain,
! [SV289: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4622]) ).
thf(4649,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4624]) ).
thf(4650,plain,
! [SV260: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4626]) ).
thf(4651,plain,
! [SV260: $i,SV336: $i] :
( ( ( sK1_SY0 @ SV336 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4628]) ).
thf(4652,plain,
! [SV291: $i,SV332: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV332 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4630]) ).
thf(4653,plain,
! [SV291: $i] :
( ( ( sK1_SY0 @ ( sK283_SX0 @ SV291 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4631]) ).
thf(4654,plain,
! [SV236: $i,SV337: $i] :
( ( ( sK1_SY0 @ SV337 )
= $false )
| ( ( sK1_SY0 @ ( sK265_SX0 @ SV236 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV236 )
= $false )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4632]) ).
thf(4655,plain,
! [SV340: $i] :
( ( ( ~ ( sK1_SY0 @ SV340 ) )
= $true )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4633]) ).
thf(4656,plain,
! [SV294: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 )
| ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4634]) ).
thf(4657,plain,
! [SV294: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4635]) ).
thf(4658,plain,
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4637]) ).
thf(4659,plain,
! [SV264: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4639]) ).
thf(4660,plain,
! [SV264: $i,SV338: $i] :
( ( ( sK1_SY0 @ SV338 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4641]) ).
thf(4661,plain,
! [SV286: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK282_SX0 @ SV286 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4644]) ).
thf(4663,plain,
! [SV289: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4647]) ).
thf(4664,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4647]) ).
thf(4665,plain,
! [SV289: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4648]) ).
thf(4666,plain,
! [SV341: $i] :
( ( ( ~ ( sK1_SY0 @ SV341 ) )
= $true )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4649]) ).
thf(4667,plain,
! [SV260: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4650]) ).
thf(4668,plain,
! [SV291: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK283_SX0 @ SV291 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK176_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK209_SX0 )
= $true )
| ( ( sK1_SY0 @ SV291 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4653]) ).
thf(4669,plain,
! [SV340: $i] :
( ( ( sK1_SY0 @ SV340 )
= $false )
| ( ( sK1_SY0 @ sK269_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ sK239_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4655]) ).
thf(4670,plain,
! [SV294: $i] :
( ( ( ~ ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4656]) ).
thf(4671,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
!= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4656]) ).
thf(4672,plain,
! [SV294: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4657]) ).
thf(4673,plain,
! [SV342: $i] :
( ( ( ~ ( sK1_SY0 @ SV342 ) )
= $true )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4658]) ).
thf(4674,plain,
! [SV264: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4659]) ).
thf(4675,plain,
! [SV289: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4663]) ).
thf(4676,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4664]) ).
thf(4677,plain,
! [SV289: $i,SV343: $i] :
( ( ( ~ ( sK1_SY0 @ SV343 ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4665]) ).
thf(4678,plain,
! [SV341: $i] :
( ( ( sK1_SY0 @ SV341 )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4666]) ).
thf(4679,plain,
! [SV260: $i,SV344: $i] :
( ( ( ~ ( sK1_SY0 @ SV344 ) )
= $true )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4667]) ).
thf(4680,plain,
! [SV294: $i] :
( ( ( ~ ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4670]) ).
thf(4681,plain,
! [SV294: $i] :
( ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4671]) ).
thf(4682,plain,
! [SV294: $i,SV345: $i] :
( ( ( ~ ( sK1_SY0 @ SV345 ) )
= $true )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4672]) ).
thf(4683,plain,
! [SV342: $i] :
( ( ( sK1_SY0 @ SV342 )
= $false )
| ( ( sK1_SY0 @ sK273_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4673]) ).
thf(4684,plain,
! [SV264: $i,SV346: $i] :
( ( ( ~ ( sK1_SY0 @ SV346 ) )
= $true )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4674]) ).
thf(4685,plain,
! [SV289: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4675]) ).
thf(4686,plain,
! [SV289: $i,SV343: $i] :
( ( ( sK1_SY0 @ SV343 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4677]) ).
thf(4687,plain,
! [SV260: $i,SV344: $i] :
( ( ( sK1_SY0 @ SV344 )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4679]) ).
thf(4688,plain,
! [SV294: $i] :
( ( ( ~ ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $false )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4680]) ).
thf(4689,plain,
! [SV294: $i,SV345: $i] :
( ( ( sK1_SY0 @ SV345 )
= $false )
| ( ( ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4682]) ).
thf(4690,plain,
! [SV264: $i,SV346: $i] :
( ( ( sK1_SY0 @ SV346 )
= $false )
| ( ( sK1_SY0 @ ( sK277_SX0 @ SV264 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV264 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4684]) ).
thf(4691,plain,
! [SV289: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4685]) ).
thf(4692,plain,
! [SV294: $i] :
( ( ( ! [SX0: $i] :
~ ( sK1_SY0 @ SX0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4688]) ).
thf(4693,plain,
! [SV289: $i,SV347: $i] :
( ( ( ~ ( sK1_SY0 @ SV347 ) )
= $true )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4691]) ).
thf(4694,plain,
! [SV294: $i,SV348: $i] :
( ( ( ~ ( sK1_SY0 @ SV348 ) )
= $true )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4692]) ).
thf(4695,plain,
! [SV289: $i,SV347: $i] :
( ( ( sK1_SY0 @ SV347 )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4693]) ).
thf(4696,plain,
! [SV294: $i,SV348: $i] :
( ( ( sK1_SY0 @ SV348 )
= $false )
| ( ( sK1_SY0 @ ( sK281_SX0 @ SV294 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK175_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ sK211_SX0 )
= $true )
| ( ( sK1_SY0 @ SV294 )
= $false )
| ( ( sK1_SY0
@ ( sK174_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4694]) ).
thf(4697,plain,
! [SV286: $i,SV329: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV329 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4643]) ).
thf(4698,plain,
! [SV286: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK282_SX0 @ SV286 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( sK1_SY0 @ SV286 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4661]) ).
thf(4699,plain,
! [SV319: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV319 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4508]) ).
thf(4700,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK274_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK205_SX0 )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4551]) ).
thf(4701,plain,
! [SV258: $i,SV321: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV321 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4552]) ).
thf(4702,plain,
! [SV258: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK278_SX0 @ SV258 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV258 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4587]) ).
thf(4703,plain,
! [SV287: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV287 )
= $false )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4365]) ).
thf(4704,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ sK262_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK172_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[4415]) ).
thf(4705,plain,
! [SV289: $i,SV347: $i] :
( ( ( sK1_SY0 @ SV347 )
= $false )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4695]) ).
thf(4706,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK280_SX0 @ SV289 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4676]) ).
thf(4707,plain,
! [SV289: $i,SV343: $i] :
( ( ( sK1_SY0 @ SV343 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4686]) ).
thf(4708,plain,
! [SV289: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( sK1_SY0 @ SV289 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4623]) ).
thf(4709,plain,
! [SV341: $i] :
( ( ( sK1_SY0 @ SV341 )
= $false )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4678]) ).
thf(4710,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK271_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4595]) ).
thf(4711,plain,
! [SV330: $i] :
( ( ( sK1_SY0 @ SV330 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4625]) ).
thf(4712,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK207_SX0 )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4473]) ).
thf(4713,plain,
! [SV260: $i,SV344: $i] :
( ( ( sK1_SY0 @ SV344 )
= $false )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4687]) ).
thf(4714,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK275_SX0 @ SV260 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4627]) ).
thf(4715,plain,
! [SV260: $i,SV336: $i] :
( ( ( sK1_SY0 @ SV336 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4651]) ).
thf(4716,plain,
! [SV260: $i] :
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV260 )
= $false )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4524]) ).
thf(4717,plain,
! [SV331: $i] :
( ( ( sK1_SY0 @ SV331 )
= $false )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4629]) ).
thf(4718,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK260_SX0 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4478]) ).
thf(4719,plain,
! [SV322: $i] :
( ( ( sK1_SY0 @ SV322 )
= $false )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4526]) ).
thf(4720,plain,
( ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK171_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK170_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4308]) ).
thf(4721,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK169_E
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[2820]) ).
thf(4722,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[2846]) ).
thf(4723,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[2845]) ).
thf(4724,plain,
! [SV59: $i,SV295: $i] :
( ( ( sK1_SY0 @ SV295 )
= $false )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4335]) ).
thf(4725,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK212_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4008]) ).
thf(4726,plain,
! [SV59: $i,SV265: $i] :
( ( ( sK1_SY0 @ SV265 )
= $false )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4112]) ).
thf(4727,plain,
! [SV59: $i] :
( ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK178_E @ ( eps @ sK1_SY0 ) @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[3625]) ).
thf(4728,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[2852]) ).
thf(4729,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK180_E @ ( eps @ sK1_SY0 ) @ SV59 ) )
= $true ) ),
inference(sim,[status(thm)],[2850]) ).
thf(4730,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[2849]) ).
thf(4731,plain,
! [SV59: $i,SV296: $i] :
( ( ( sK1_SY0 @ SV296 )
= $false )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4336]) ).
thf(4732,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK213_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4011]) ).
thf(4733,plain,
! [SV59: $i,SV266: $i] :
( ( ( sK1_SY0 @ SV266 )
= $false )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[4114]) ).
thf(4734,plain,
! [SV59: $i] :
( ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK179_E @ ( eps @ sK1_SY0 ) @ SV59 @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false ) ),
inference(sim,[status(thm)],[3630]) ).
thf(4735,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[2853]) ).
thf(4736,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[2859]) ).
thf(4737,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK182_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[2857]) ).
thf(4738,plain,
! [SV239: $i,SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV239 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[3767]) ).
thf(4739,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK242_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[3891]) ).
thf(4740,plain,
! [SV59: $i,SV297: $i] :
( ( ( sK1_SY0 @ SV297 )
= $false )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4337]) ).
thf(4741,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK214_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4014]) ).
thf(4742,plain,
! [SV59: $i,SV267: $i] :
( ( ( sK1_SY0 @ SV267 )
= $false )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4116]) ).
thf(4743,plain,
! [SV59: $i] :
( ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK181_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[3635]) ).
thf(4744,plain,
! [SV59: $i] :
( ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[2863]) ).
thf(4745,plain,
! [SV240: $i,SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV240 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[3771]) ).
thf(4746,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK243_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false ) ),
inference(sim,[status(thm)],[3895]) ).
thf(4747,plain,
! [SV59: $i,SV298: $i] :
( ( ( sK1_SY0 @ SV298 )
= $false )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4338]) ).
thf(4748,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK215_SX0 @ SV59 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4017]) ).
thf(4749,plain,
! [SV59: $i,SV268: $i] :
( ( ( sK1_SY0 @ SV268 )
= $false )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4118]) ).
thf(4750,plain,
! [SV59: $i] :
( ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV59 )
= $false )
| ( ( sK1_SY0
@ ( sK183_E @ SV59
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[3640]) ).
thf(4751,plain,
! [SV299: $i] :
( ( ( sK1_SY0 @ SV299 )
= $false )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4339]) ).
thf(4752,plain,
( ( ( sK185_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK216_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4020]) ).
thf(4753,plain,
! [SV269: $i] :
( ( ( sK1_SY0 @ SV269 )
= $false )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4120]) ).
thf(4754,plain,
( ( ( sK185_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK185_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[3645]) ).
thf(4755,plain,
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[2866]) ).
thf(4756,plain,
! [SV300: $i] :
( ( ( sK1_SY0 @ SV300 )
= $false )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4340]) ).
thf(4757,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK217_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4023]) ).
thf(4758,plain,
! [SV270: $i] :
( ( ( sK1_SY0 @ SV270 )
= $false )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[4122]) ).
thf(4759,plain,
( ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK184_E
@ ( eps
@ ^ [SX0: $i] : $false ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[3650]) ).
thf(4760,plain,
! [SV301: $i] :
( ( ( sK1_SY0 @ SV301 )
= $false )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[4341]) ).
thf(4761,plain,
( ( ( sK193_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK218_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[4026]) ).
thf(4762,plain,
! [SV271: $i] :
( ( ( sK1_SY0 @ SV271 )
= $false )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[4124]) ).
thf(4763,plain,
( ( ( sK193_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK193_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[3655]) ).
thf(4764,plain,
! [SV303: $i] :
( ( ( sK1_SY0 @ SV303 )
= $false )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(sim,[status(thm)],[4343]) ).
thf(4765,plain,
( ( ( sK191_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK220_SX1 )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(sim,[status(thm)],[4032]) ).
thf(4766,plain,
! [SV273: $i] :
( ( ( sK1_SY0 @ SV273 )
= $false )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(sim,[status(thm)],[4128]) ).
thf(4767,plain,
( ( ( sK191_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK191_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ sK190_E )
= $true ) ),
inference(sim,[status(thm)],[3665]) ).
thf(4768,plain,
( ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[2878]) ).
thf(4769,plain,
( ( ( sK1_SY0 @ sK189_E )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false ) ),
inference(sim,[status(thm)],[2876]) ).
thf(4770,plain,
! [SV304: $i] :
( ( ( sK1_SY0 @ SV304 )
= $false )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4344]) ).
thf(4771,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK221_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4035]) ).
thf(4772,plain,
! [SV274: $i] :
( ( ( sK1_SY0 @ SV274 )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4130]) ).
thf(4773,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[3674]) ).
thf(4774,plain,
! [SV306: $i] :
( ( ( sK1_SY0 @ SV306 )
= $false )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(sim,[status(thm)],[4346]) ).
thf(4775,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK223_SX0 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(sim,[status(thm)],[4041]) ).
thf(4776,plain,
! [SV276: $i] :
( ( ( sK1_SY0 @ SV276 )
= $false )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(sim,[status(thm)],[4134]) ).
thf(4777,plain,
( ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK186_E @ ( eps @ sK1_SY0 ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK187_E )
= $true ) ),
inference(sim,[status(thm)],[3680]) ).
thf(4778,plain,
! [SV307: $i] :
( ( ( sK1_SY0 @ SV307 )
= $false )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[4347]) ).
thf(4779,plain,
( ( ( sK195_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK224_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[4044]) ).
thf(4780,plain,
! [SV277: $i] :
( ( ( sK1_SY0 @ SV277 )
= $false )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[4136]) ).
thf(4781,plain,
( ( ( sK195_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK195_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true ) ),
inference(sim,[status(thm)],[3685]) ).
thf(4782,plain,
! [SV308: $i] :
( ( ( sK1_SY0 @ SV308 )
= $false )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4348]) ).
thf(4783,plain,
( ( ( sK194_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK225_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4047]) ).
thf(4784,plain,
! [SV278: $i] :
( ( ( sK1_SY0 @ SV278 )
= $false )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4138]) ).
thf(4785,plain,
( ( ( sK194_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK194_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[3690]) ).
thf(4786,plain,
! [SV309: $i] :
( ( ( sK1_SY0 @ SV309 )
= $false )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4349]) ).
thf(4787,plain,
( ( ( sK203_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK226_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4050]) ).
thf(4788,plain,
! [SV279: $i] :
( ( ( sK1_SY0 @ SV279 )
= $false )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[4140]) ).
thf(4789,plain,
( ( ( sK203_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK203_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(sim,[status(thm)],[3695]) ).
thf(4790,plain,
! [SV311: $i] :
( ( ( sK1_SY0 @ SV311 )
= $false )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true ) ),
inference(sim,[status(thm)],[4351]) ).
thf(4791,plain,
( ( ( sK201_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK228_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true ) ),
inference(sim,[status(thm)],[4056]) ).
thf(4792,plain,
! [SV281: $i] :
( ( ( sK1_SY0 @ SV281 )
= $false )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true ) ),
inference(sim,[status(thm)],[4144]) ).
thf(4793,plain,
( ( ( sK201_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK201_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( sK1_SY0 @ sK200_E )
= $true ) ),
inference(sim,[status(thm)],[3705]) ).
thf(4794,plain,
! [SV312: $i] :
( ( ( sK1_SY0 @ SV312 )
= $false )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4352]) ).
thf(4795,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK229_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4059]) ).
thf(4796,plain,
! [SV282: $i] :
( ( ( sK1_SY0 @ SV282 )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4146]) ).
thf(4797,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[3714]) ).
thf(4798,plain,
! [SV314: $i] :
( ( ( sK1_SY0 @ SV314 )
= $false )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4354]) ).
thf(4799,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ sK231_SX1 )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4065]) ).
thf(4800,plain,
! [SV284: $i] :
( ( ( sK1_SY0 @ SV284 )
= $false )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[4150]) ).
thf(4801,plain,
( ( ( sK196_E
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK196_E
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ sK197_E )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true ) ),
inference(sim,[status(thm)],[3720]) ).
thf(4804,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(rename,[status(thm)],[830]) ).
thf(4807,plain,
! [SV351: $i,SV200: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) )
= $true ) ),
inference(res,[status(thm)],[4804,2602]) ).
thf(4808,plain,
! [SV351: $i,SV200: $i] :
( ( ( ( sK1_SY0 @ SV351 )
= ( sK1_SY0 @ ( sK2_SX1 @ SV200 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( SV200
= ( eps
@ ^ [SX0: $i] : $false ) )
= $false ) ),
inference(res,[status(thm)],[4804,2602]) ).
thf(4811,plain,
! [SV351: $i,SV53: $i] :
( ( ( ( sK1_SY0 @ SV351 )
= ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV53 )
= $false ) ),
inference(res,[status(thm)],[4804,593]) ).
thf(4813,plain,
! [SV351: $i] :
( ( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= ( ( eps @ sK1_SY0 )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false ) ),
inference(res,[status(thm)],[4804,13]) ).
thf(4814,plain,
( ( ~ ~ ! [SY355: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ),
inference(choice,[status(thm)],[4804]) ).
thf(4815,plain,
( ( ~ ~ ! [SV353: $i] :
~ ( sK1_SY0 @ SV353 )
| ( sK1_SY0 @ ( eps @ sK1_SY0 ) ) )
= $true ),
inference(choice,[status(thm)],[4804]) ).
thf(4818,plain,
( ( ( ~ ~ ! [SY355: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4814]) ).
thf(4819,plain,
( ( ( ~ ~ ! [SV353: $i] :
~ ( sK1_SY0 @ SV353 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4815]) ).
thf(4822,plain,
( ( ( ~ ! [SY355: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4818]) ).
thf(4823,plain,
( ( ( ~ ! [SV353: $i] :
~ ( sK1_SY0 @ SV353 ) )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4819]) ).
thf(4826,plain,
( ( ( ! [SY355: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SY355
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4822]) ).
thf(4827,plain,
( ( ( ! [SV353: $i] :
~ ( sK1_SY0 @ SV353 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4823]) ).
thf(4830,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4826]) ).
thf(4831,plain,
! [SV357: $i] :
( ( ( ~ ( sK1_SY0 @ SV357 ) )
= $true )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4827]) ).
thf(4834,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4830]) ).
thf(4835,plain,
! [SV357: $i] :
( ( ( sK1_SY0 @ SV357 )
= $false )
| ( ( sK1_SY0 @ ( eps @ sK1_SY0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4831]) ).
thf(4838,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4834]) ).
thf(4839,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4834]) ).
thf(4840,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4838]) ).
thf(4841,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4839]) ).
thf(4842,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV356
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4840]) ).
thf(4843,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4841]) ).
thf(4844,plain,
! [SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV356
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4842]) ).
thf(4845,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4843]) ).
thf(4846,plain,
! [SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV356
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4844]) ).
thf(4847,plain,
! [SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4845]) ).
thf(4848,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ( sK1_SY0 @ SV360 ) )
= $true )
| ( ( SV356
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4846]) ).
thf(4849,plain,
! [SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4847]) ).
thf(4850,plain,
! [SV356: $i,SV360: $i] :
( ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4848]) ).
thf(4851,plain,
! [SV356: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) ) )
= $false )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4849]) ).
thf(4852,plain,
! [SV360: $i,SV356: $i] :
( ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4850]) ).
thf(4853,plain,
! [SV356: $i] :
( ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4851]) ).
thf(4854,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4852]) ).
thf(4855,plain,
! [SV356: $i] :
( ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4853]) ).
thf(4856,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4854]) ).
thf(4857,plain,
! [SV356: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4855]) ).
thf(4858,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4856]) ).
thf(4859,plain,
! [SV356: $i,SV360: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4856]) ).
thf(4860,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4857]) ).
thf(4861,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4858]) ).
thf(4862,plain,
! [SV356: $i,SV360: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4859]) ).
thf(4863,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4860]) ).
thf(4864,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4860]) ).
thf(4865,plain,
! [SV356: $i,SV360: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4861]) ).
thf(4866,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4862]) ).
thf(4867,plain,
! [SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4863]) ).
thf(4868,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4864]) ).
thf(4869,plain,
! [SV360: $i,SV356: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4865]) ).
thf(4870,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4866]) ).
thf(4871,plain,
! [SV356: $i,SV360: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4866]) ).
thf(4872,plain,
! [SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4867]) ).
thf(4873,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4868]) ).
thf(4874,plain,
! [SV360: $i,SV356: $i] :
( ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4869]) ).
thf(4875,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4870]) ).
thf(4876,plain,
! [SV356: $i,SV360: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4871]) ).
thf(4877,plain,
! [SV356: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4872]) ).
thf(4878,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4873]) ).
thf(4879,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4873]) ).
thf(4880,plain,
! [SV360: $i,SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4874]) ).
thf(4881,plain,
! [SV356: $i,SV360: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4875]) ).
thf(4882,plain,
! [SV356: $i] :
( ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4877]) ).
thf(4883,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4878]) ).
thf(4884,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4879]) ).
thf(4885,plain,
! [SV360: $i,SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4880]) ).
thf(4886,plain,
! [SV360: $i,SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4880]) ).
thf(4887,plain,
! [SV356: $i,SV360: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4881]) ).
thf(4888,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4882]) ).
thf(4889,plain,
! [SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4883]) ).
thf(4890,plain,
! [SV360: $i,SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4885]) ).
thf(4891,plain,
! [SV360: $i,SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4886]) ).
thf(4892,plain,
! [SV356: $i,SV360: $i,SV361: $i] :
( ( ( ~ ( sK1_SY0 @ SV361 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4887]) ).
thf(4893,plain,
! [SV356: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4888]) ).
thf(4894,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4888]) ).
thf(4895,plain,
! [SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4889]) ).
thf(4896,plain,
! [SV360: $i,SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4890]) ).
thf(4897,plain,
! [SV356: $i,SV360: $i,SV361: $i] :
( ( ( sK1_SY0 @ SV361 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4892]) ).
thf(4898,plain,
! [SV356: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4893]) ).
thf(4899,plain,
! [SV356: $i] :
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4894]) ).
thf(4900,plain,
! [SV356: $i,SV362: $i] :
( ( ( ~ ( sK1_SY0 @ SV362 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4895]) ).
thf(4901,plain,
! [SV360: $i,SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4896]) ).
thf(4902,plain,
! [SV356: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4898]) ).
thf(4903,plain,
! [SV356: $i,SV362: $i] :
( ( ( sK1_SY0 @ SV362 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4900]) ).
thf(4904,plain,
! [SV360: $i,SV356: $i,SV363: $i] :
( ( ( ~ ( sK1_SY0 @ SV363 ) )
= $true )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4901]) ).
thf(4905,plain,
! [SV356: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4902]) ).
thf(4906,plain,
! [SV360: $i,SV356: $i,SV363: $i] :
( ( ( sK1_SY0 @ SV363 )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ SV356 @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( SV356
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4904]) ).
thf(4907,plain,
! [SV356: $i,SV364: $i] :
( ( ( ~ ( sK1_SY0 @ SV364 ) )
= $true )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[4905]) ).
thf(4908,plain,
! [SV356: $i,SV364: $i] :
( ( ( sK1_SY0 @ SV364 )
= $false )
| ( ( sK1_SY0 @ ( sK293_SX1 @ SV356 ) )
= $true )
| ( ( sK1_SY0 @ ( sK291_SX1 @ SV356 ) )
= $true )
| ( ( SV356
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4907]) ).
thf(4909,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK294_E @ SV351 ) )
= $true ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4911,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4912,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4914,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4915,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4917,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4918,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4920,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extuni,[status(esa)],[4813]) ).
thf(4921,plain,
! [SV53: $i] :
( ( ( sK1_SY0 @ SV53 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4811:[bind(SV351,$thf( eps @ sK1_SY0 ))]]) ).
thf(4922,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4808:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false )),bind(SV351,$thf( sK2_SX1 @ ( eps @ ^ [SX0: $i] : $false ) ))]]) ).
thf(4923,plain,
! [SV351: $i] :
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[4807:[bind(SV200,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(4926,plain,
! [SV351: $i] :
( ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false ) ),
inference(extuni,[status(esa)],[4807:[bind(SV200,$thf( eps @ ^ [SX0: $i] : ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) | ( SX0 != ( eps @ sK1_SY0 ) ) ) | ~ ( ~ ( ~ ( ~ ( ! [SX1: $i] : ~ ( sK1_SY0 @ SX1 ) ) ) ) | ( SX0 != ( eps @ ^ [SX1: $i] : $false ) ) ) ) ))]]) ).
thf(4927,plain,
! [SV363: $i,SV360: $i] :
( ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ ( eps @ sK1_SY0 ) @ SV360 ) )
= $true )
| ( ( sK1_SY0 @ SV363 )
= $false ) ),
inference(extuni,[status(esa)],[4906:[bind(SV356,$thf( eps @ sK1_SY0 ))]]) ).
thf(4928,plain,
! [SV360: $i] :
( ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( sK1_SY0 @ ( sK292_SX1 @ ( eps @ sK1_SY0 ) @ SV360 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4891:[bind(SV356,$thf( eps @ sK1_SY0 ))]]) ).
thf(4929,plain,
! [SV361: $i,SV360: $i] :
( ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV361 )
= $false ) ),
inference(extuni,[status(esa)],[4897:[bind(SV356,$thf( eps @ sK1_SY0 ))]]) ).
thf(4930,plain,
! [SV360: $i] :
( ( ( sK1_SY0 @ SV360 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4876:[bind(SV356,$thf( eps @ sK1_SY0 ))]]) ).
thf(4931,plain,
! [SV364: $i] :
( ( ( sK1_SY0
@ ( sK291_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK293_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV364 )
= $false ) ),
inference(extuni,[status(esa)],[4908:[bind(SV356,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(4932,plain,
( ( ( sK1_SY0
@ ( sK291_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0
@ ( sK293_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4899:[bind(SV356,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(4933,plain,
! [SV362: $i] :
( ( ( sK1_SY0
@ ( sK291_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV362 )
= $false ) ),
inference(extuni,[status(esa)],[4903:[bind(SV356,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(4934,plain,
( ( ( sK1_SY0
@ ( sK291_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(extuni,[status(esa)],[4884:[bind(SV356,$thf( eps @ ^ [SX0: $i] : $false ))]]) ).
thf(4937,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4918]) ).
thf(4938,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4917]) ).
thf(4939,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4917]) ).
thf(4942,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4915]) ).
thf(4943,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4914]) ).
thf(4946,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4912]) ).
thf(4949,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[4923]) ).
thf(4952,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4937]) ).
thf(4953,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4938]) ).
thf(4954,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4939]) ).
thf(4957,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4942]) ).
thf(4958,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4943]) ).
thf(4961,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4946]) ).
thf(4964,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[4949]) ).
thf(4967,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4952]) ).
thf(4968,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4952]) ).
thf(4969,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4953]) ).
thf(4970,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4954]) ).
thf(4973,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4957]) ).
thf(4974,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4957]) ).
thf(4975,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4958]) ).
thf(4976,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4958]) ).
thf(4979,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4961]) ).
thf(4980,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4961]) ).
thf(4983,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4964]) ).
thf(4984,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[4964]) ).
thf(4987,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4967]) ).
thf(4988,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4968]) ).
thf(4989,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4969]) ).
thf(4990,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4970]) ).
thf(4993,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4973]) ).
thf(4994,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4974]) ).
thf(4995,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4975]) ).
thf(4996,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4976]) ).
thf(4999,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4979]) ).
thf(5000,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4980]) ).
thf(5003,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4983]) ).
thf(5004,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[4984]) ).
thf(5007,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4987]) ).
thf(5008,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4988]) ).
thf(5009,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4989]) ).
thf(5010,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4990]) ).
thf(5013,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4993]) ).
thf(5014,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4994]) ).
thf(5015,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4995]) ).
thf(5016,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4996]) ).
thf(5019,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4999]) ).
thf(5020,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5000]) ).
thf(5023,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5003]) ).
thf(5024,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5004]) ).
thf(5027,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5007]) ).
thf(5028,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5008]) ).
thf(5029,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5008]) ).
thf(5030,plain,
! [SV351: $i,SV366: $i] :
( ( ( ~ ( sK1_SY0 @ SV366 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5009]) ).
thf(5031,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5010]) ).
thf(5034,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5013]) ).
thf(5035,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5014]) ).
thf(5036,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5014]) ).
thf(5037,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5015]) ).
thf(5038,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5039,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5016]) ).
thf(5042,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5019]) ).
thf(5043,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5020]) ).
thf(5044,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5020]) ).
thf(5047,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5023]) ).
thf(5048,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5049,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5024]) ).
thf(5052,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5027]) ).
thf(5053,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5028]) ).
thf(5054,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5029]) ).
thf(5055,plain,
! [SV351: $i,SV366: $i] :
( ( ( sK1_SY0 @ SV366 )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5030]) ).
thf(5056,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK306_SX1 @ SV351 ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5031]) ).
thf(5059,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5034]) ).
thf(5060,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5035]) ).
thf(5061,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5036]) ).
thf(5062,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5037]) ).
thf(5063,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5038]) ).
thf(5064,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5039]) ).
thf(5067,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5042]) ).
thf(5068,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5043]) ).
thf(5069,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5044]) ).
thf(5072,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5047]) ).
thf(5073,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5048]) ).
thf(5074,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5049]) ).
thf(5077,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5052]) ).
thf(5078,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5053]) ).
thf(5079,plain,
! [SV366: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV366 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5055]) ).
thf(5080,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK306_SX1 @ SV351 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5056]) ).
thf(5083,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5059]) ).
thf(5084,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5060]) ).
thf(5085,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5061]) ).
thf(5086,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5061]) ).
thf(5087,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5062]) ).
thf(5088,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5063]) ).
thf(5091,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5067]) ).
thf(5092,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5068]) ).
thf(5093,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5069]) ).
thf(5096,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5072]) ).
thf(5097,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5073]) ).
thf(5099,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5077]) ).
thf(5100,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5077]) ).
thf(5101,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5078]) ).
thf(5102,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK306_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5080]) ).
thf(5106,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5083]) ).
thf(5107,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5083]) ).
thf(5108,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5084]) ).
thf(5109,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5085]) ).
thf(5110,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5086]) ).
thf(5111,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5087]) ).
thf(5112,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5087]) ).
thf(5113,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5088]) ).
thf(5116,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5091]) ).
thf(5117,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5091]) ).
thf(5118,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5092]) ).
thf(5119,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5093]) ).
thf(5121,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5096]) ).
thf(5122,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[5096]) ).
thf(5123,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5097]) ).
thf(5124,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5099]) ).
thf(5125,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5100]) ).
thf(5126,plain,
! [SV351: $i,SV370: $i] :
( ( ( ~ ( sK1_SY0 @ SV370 ) )
= $true )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5101]) ).
thf(5131,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5106]) ).
thf(5132,plain,
! [SV351: $i] :
( ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5107]) ).
thf(5133,plain,
! [SV351: $i,SV371: $i] :
( ( ( ~ ( sK1_SY0 @ SV371 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5108]) ).
thf(5134,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5109]) ).
thf(5135,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5110]) ).
thf(5136,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5111]) ).
thf(5137,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5112]) ).
thf(5138,plain,
! [SV351: $i,SV372: $i] :
( ( ( ~ ( sK1_SY0 @ SV372 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5113]) ).
thf(5141,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5116]) ).
thf(5142,plain,
! [SV351: $i] :
( ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5117]) ).
thf(5143,plain,
! [SV351: $i,SV373: $i] :
( ( ( ~ ( sK1_SY0 @ SV373 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5118]) ).
thf(5144,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5119]) ).
thf(5145,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5119]) ).
thf(5146,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5121]) ).
thf(5147,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5122]) ).
thf(5148,plain,
! [SV351: $i,SV374: $i] :
( ( ( ~ ( sK1_SY0 @ SV374 ) )
= $true )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5123]) ).
thf(5149,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5124]) ).
thf(5150,plain,
! [SV351: $i,SV370: $i] :
( ( ( sK1_SY0 @ SV370 )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5126]) ).
thf(5155,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5131]) ).
thf(5156,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5132]) ).
thf(5157,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5132]) ).
thf(5158,plain,
! [SV351: $i,SV371: $i] :
( ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5133]) ).
thf(5159,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5134]) ).
thf(5160,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5135]) ).
thf(5161,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5136]) ).
thf(5162,plain,
! [SV351: $i,SV372: $i] :
( ( ( sK1_SY0 @ SV372 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5138]) ).
thf(5166,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5141]) ).
thf(5167,plain,
! [SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5142]) ).
thf(5168,plain,
! [SV351: $i,SV373: $i] :
( ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5143]) ).
thf(5169,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5144]) ).
thf(5170,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5145]) ).
thf(5171,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5146]) ).
thf(5172,plain,
! [SV351: $i,SV374: $i] :
( ( ( sK1_SY0 @ SV374 )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5148]) ).
thf(5173,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5149]) ).
thf(5178,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5155]) ).
thf(5179,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5156]) ).
thf(5180,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5157]) ).
thf(5181,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5158]) ).
thf(5182,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5158]) ).
thf(5183,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5159]) ).
thf(5184,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5160]) ).
thf(5185,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5161]) ).
thf(5190,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5166]) ).
thf(5191,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5167]) ).
thf(5192,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5168]) ).
thf(5193,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5169]) ).
thf(5194,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5170]) ).
thf(5195,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[5171]) ).
thf(5196,plain,
! [SV351: $i,SV375: $i] :
( ( ( ~ ( sK1_SY0 @ SV375 ) )
= $true )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5173]) ).
thf(5201,plain,
! [SV351: $i,SV376: $i] :
( ( ( ~ ( sK1_SY0 @ SV376 ) )
= $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5178]) ).
thf(5202,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5179]) ).
thf(5203,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5180]) ).
thf(5204,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5181]) ).
thf(5205,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5182]) ).
thf(5206,plain,
! [SV351: $i,SV377: $i] :
( ( ( ~ ( sK1_SY0 @ SV377 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5183]) ).
thf(5207,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5184]) ).
thf(5208,plain,
! [SV351: $i,SV378: $i] :
( ( ( ~ ( sK1_SY0 @ SV378 ) )
= $true )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5185]) ).
thf(5213,plain,
! [SV351: $i,SV379: $i] :
( ( ( ~ ( sK1_SY0 @ SV379 ) )
= $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5190]) ).
thf(5214,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5191]) ).
thf(5215,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5191]) ).
thf(5216,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5192]) ).
thf(5217,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5193]) ).
thf(5218,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5194]) ).
thf(5219,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5194]) ).
thf(5220,plain,
! [SV351: $i,SV380: $i] :
( ( ( ~ ( sK1_SY0 @ SV380 ) )
= $true )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5195]) ).
thf(5221,plain,
! [SV351: $i,SV375: $i] :
( ( ( sK1_SY0 @ SV375 )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5196]) ).
thf(5226,plain,
! [SV351: $i,SV376: $i] :
( ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5201]) ).
thf(5227,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5202]) ).
thf(5228,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5203]) ).
thf(5229,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5204]) ).
thf(5230,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5205]) ).
thf(5231,plain,
! [SV351: $i,SV377: $i] :
( ( ( sK1_SY0 @ SV377 )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5206]) ).
thf(5232,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK311_SX1 @ SV351 ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5207]) ).
thf(5233,plain,
! [SV351: $i,SV378: $i] :
( ( ( sK1_SY0 @ SV378 )
= $false )
| ( ( sK1_SY0 @ ( sK302_SX1 @ SV351 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] : $false )
= ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5208]) ).
thf(5239,plain,
! [SV351: $i,SV379: $i] :
( ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( $false = $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5213]) ).
thf(5240,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5214]) ).
thf(5241,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5215]) ).
thf(5242,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5216]) ).
thf(5243,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5216]) ).
thf(5244,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5217]) ).
thf(5245,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5218]) ).
thf(5246,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5219]) ).
thf(5247,plain,
! [SV351: $i,SV380: $i] :
( ( ( sK1_SY0 @ SV380 )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[5220]) ).
thf(5252,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5226]) ).
thf(5253,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[5226]) ).
thf(5254,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5227]) ).
thf(5255,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5228]) ).
thf(5256,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5229]) ).
thf(5257,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5230]) ).
thf(5258,plain,
! [SV377: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV377 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5231]) ).
thf(5259,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK311_SX1 @ SV351 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5232]) ).
thf(5266,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[5239]) ).
thf(5267,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5240]) ).
thf(5268,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5241]) ).
thf(5269,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5242]) ).
thf(5270,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5243]) ).
thf(5271,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5244]) ).
thf(5272,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5245]) ).
thf(5277,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5252]) ).
thf(5278,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5253]) ).
thf(5279,plain,
! [SV351: $i,SV383: $i] :
( ( ( ~ ( sK1_SY0 @ SV383 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5254]) ).
thf(5280,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5255]) ).
thf(5281,plain,
! [SV371: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5256]) ).
thf(5282,plain,
! [SV371: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5257]) ).
thf(5283,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK311_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5259]) ).
thf(5289,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5266]) ).
thf(5290,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5267]) ).
thf(5291,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5268]) ).
thf(5292,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5268]) ).
thf(5293,plain,
! [SV373: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5269]) ).
thf(5294,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5270]) ).
thf(5295,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5271]) ).
thf(5296,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5271]) ).
thf(5297,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5272]) ).
thf(5301,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5277]) ).
thf(5302,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[5278]) ).
thf(5303,plain,
! [SV351: $i,SV383: $i] :
( ( ( sK1_SY0 @ SV383 )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5279]) ).
thf(5304,plain,
! [SV351: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK317_SX1 @ SV351 ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5280]) ).
thf(5305,plain,
! [SV371: $i,SV351: $i,SV384: $i] :
( ( ( ~ ( sK1_SY0 @ SV384 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5281]) ).
thf(5306,plain,
! [SV371: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5282]) ).
thf(5312,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5289]) ).
thf(5313,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5289]) ).
thf(5314,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5290]) ).
thf(5315,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5291]) ).
thf(5316,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5292]) ).
thf(5317,plain,
! [SV351: $i,SV373: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5293]) ).
thf(5318,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5294]) ).
thf(5319,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5294]) ).
thf(5320,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5295]) ).
thf(5321,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5296]) ).
thf(5322,plain,
! [SV351: $i,SV385: $i] :
( ( ( ~ ( sK1_SY0 @ SV385 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5297]) ).
thf(5324,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5301]) ).
thf(5325,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5302]) ).
thf(5326,plain,
! [SV383: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV383 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5303]) ).
thf(5327,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ ( sK317_SX1 @ SV351 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5304]) ).
thf(5328,plain,
! [SV371: $i,SV351: $i,SV384: $i] :
( ( ( sK1_SY0 @ SV384 )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5305]) ).
thf(5329,plain,
! [SV351: $i,SV371: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK319_SX1 @ SV371 @ SV351 ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5306]) ).
thf(5336,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5312]) ).
thf(5337,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5313]) ).
thf(5338,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5314]) ).
thf(5339,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5315]) ).
thf(5340,plain,
! [SV351: $i,SV373: $i] :
( ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5317]) ).
thf(5341,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5318]) ).
thf(5342,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5319]) ).
thf(5343,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5320]) ).
thf(5344,plain,
! [SV351: $i,SV385: $i] :
( ( ( sK1_SY0 @ SV385 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5322]) ).
thf(5345,plain,
! [SV376: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5324]) ).
thf(5346,plain,
! [SV376: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5325]) ).
thf(5347,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK317_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5327]) ).
thf(5348,plain,
! [SV371: $i,SV384: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV384 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5328]) ).
thf(5349,plain,
! [SV351: $i,SV371: $i] :
( ( ( sK1_SY0 @ ( sK319_SX1 @ SV371 @ SV351 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5329]) ).
thf(5355,plain,
! [SV379: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5336]) ).
thf(5356,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5337]) ).
thf(5357,plain,
! [SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5338]) ).
thf(5358,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5338]) ).
thf(5359,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5339]) ).
thf(5360,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5340]) ).
thf(5361,plain,
! [SV373: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5341]) ).
thf(5362,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5343]) ).
thf(5363,plain,
! [SV376: $i,SV351: $i,SV388: $i] :
( ( ( ~ ( sK1_SY0 @ SV388 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[5345]) ).
thf(5364,plain,
! [SV376: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5346]) ).
thf(5365,plain,
! [SV371: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK319_SX1 @ SV371 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5349]) ).
thf(5369,plain,
! [SV351: $i,SV379: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) ) )
= $false )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[5355]) ).
thf(5370,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5356]) ).
thf(5371,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5356]) ).
thf(5372,plain,
! [SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5357]) ).
thf(5373,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5358]) ).
thf(5374,plain,
! [SV351: $i,SV389: $i] :
( ( ( ~ ( sK1_SY0 @ SV389 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5359]) ).
thf(5375,plain,
! [SV351: $i,SV373: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5360]) ).
thf(5376,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5360]) ).
thf(5377,plain,
! [SV373: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5361]) ).
thf(5378,plain,
! [SV351: $i,SV390: $i] :
( ( ( ~ ( sK1_SY0 @ SV390 ) )
= $true )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5362]) ).
thf(5379,plain,
! [SV376: $i,SV351: $i,SV388: $i] :
( ( ( sK1_SY0 @ SV388 )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5363]) ).
thf(5380,plain,
! [SV351: $i,SV376: $i] :
( ( ( ~ ( sK1_SY0 @ ( sK321_SX1 @ SV376 @ SV351 ) ) )
= $false )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[5364]) ).
thf(5383,plain,
! [SV351: $i,SV379: $i] :
( ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5369]) ).
thf(5384,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5370]) ).
thf(5385,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5371]) ).
thf(5386,plain,
! [SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5372]) ).
thf(5387,plain,
! [SV351: $i,SV389: $i] :
( ( ( sK1_SY0 @ SV389 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5374]) ).
thf(5388,plain,
! [SV351: $i,SV373: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5375]) ).
thf(5389,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5376]) ).
thf(5390,plain,
! [SV373: $i,SV351: $i,SV392: $i] :
( ( ( ~ ( sK1_SY0 @ SV392 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5377]) ).
thf(5391,plain,
! [SV351: $i,SV390: $i] :
( ( ( sK1_SY0 @ SV390 )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5378]) ).
thf(5392,plain,
! [SV376: $i,SV388: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV388 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5379]) ).
thf(5393,plain,
! [SV351: $i,SV376: $i] :
( ( ( sK1_SY0 @ ( sK321_SX1 @ SV376 @ SV351 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[5380]) ).
thf(5396,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) ) )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5383]) ).
thf(5397,plain,
! [SV379: $i,SV351: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5384]) ).
thf(5398,plain,
! [SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5386]) ).
thf(5399,plain,
! [SV351: $i,SV373: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5388]) ).
thf(5400,plain,
! [SV373: $i,SV351: $i,SV392: $i] :
( ( ( sK1_SY0 @ SV392 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5390]) ).
thf(5401,plain,
! [SV376: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK321_SX1 @ SV376 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[5393]) ).
thf(5403,plain,
! [SV351: $i,SV379: $i] :
( ( ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5396]) ).
thf(5404,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
!= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[5396]) ).
thf(5405,plain,
! [SV379: $i,SV351: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5397]) ).
thf(5406,plain,
! [SV351: $i,SV394: $i] :
( ( ( ~ ( sK1_SY0 @ SV394 ) )
= $true )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5398]) ).
thf(5407,plain,
! [SV351: $i,SV373: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5399]) ).
thf(5408,plain,
! [SV351: $i,SV379: $i] :
( ( ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5403]) ).
thf(5409,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5404]) ).
thf(5410,plain,
! [SV379: $i,SV351: $i,SV395: $i] :
( ( ( ~ ( sK1_SY0 @ SV395 ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5405]) ).
thf(5411,plain,
! [SV351: $i,SV394: $i] :
( ( ( sK1_SY0 @ SV394 )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5406]) ).
thf(5412,plain,
! [SV351: $i,SV373: $i,SV396: $i] :
( ( ( ~ ( sK1_SY0 @ SV396 ) )
= $true )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5407]) ).
thf(5413,plain,
! [SV351: $i,SV379: $i] :
( ( ( ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5408]) ).
thf(5414,plain,
! [SV379: $i,SV351: $i,SV395: $i] :
( ( ( sK1_SY0 @ SV395 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5410]) ).
thf(5415,plain,
! [SV351: $i,SV373: $i,SV396: $i] :
( ( ( sK1_SY0 @ SV396 )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5412]) ).
thf(5416,plain,
! [SV351: $i,SV379: $i] :
( ( ( ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 ) )
= $true )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[5413]) ).
thf(5417,plain,
! [SV351: $i,SV379: $i,SV397: $i] :
( ( ( ~ ( sK1_SY0 @ SV397 ) )
= $true )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[5416]) ).
thf(5418,plain,
! [SV351: $i,SV379: $i,SV397: $i] :
( ( ( sK1_SY0 @ SV397 )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( $false = $true )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[5417]) ).
thf(5419,plain,
! [SV351: $i,SV375: $i] :
( ( ( sK1_SY0 @ SV375 )
= $false )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[5221]) ).
thf(5420,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK300_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[5125]) ).
thf(5421,plain,
! [SV351: $i,SV370: $i] :
( ( ( sK1_SY0 @ SV370 )
= $false )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[5150]) ).
thf(5422,plain,
! [SV351: $i] :
( ( ( ( sK298_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK298_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $false ) ),
inference(sim,[status(thm)],[5054]) ).
thf(5423,plain,
! [SV376: $i,SV388: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV388 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5392]) ).
thf(5424,plain,
! [SV376: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK321_SX1 @ SV376 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV376 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5401]) ).
thf(5425,plain,
! [SV383: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV383 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5326]) ).
thf(5426,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK317_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK301_SX1 @ SV351 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5347]) ).
thf(5427,plain,
! [SV371: $i,SV384: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV384 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5348]) ).
thf(5428,plain,
! [SV371: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK319_SX1 @ SV371 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV371 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5365]) ).
thf(5429,plain,
! [SV377: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $false )
| ( ( sK1_SY0 @ SV377 )
= $false )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5258]) ).
thf(5430,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $false )
| ( ( sK1_SY0 @ ( sK311_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK297_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK297_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $false ) ),
inference(sim,[status(thm)],[5283]) ).
thf(5431,plain,
! [SV351: $i,SV379: $i,SV397: $i] :
( ( ( sK1_SY0 @ SV397 )
= $false )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5418]) ).
thf(5432,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK320_SX1 @ SV379 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5409]) ).
thf(5433,plain,
! [SV379: $i,SV351: $i,SV395: $i] :
( ( ( sK1_SY0 @ SV395 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5414]) ).
thf(5434,plain,
! [SV379: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV379 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5385]) ).
thf(5435,plain,
! [SV351: $i,SV394: $i] :
( ( ( sK1_SY0 @ SV394 )
= $false )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5411]) ).
thf(5436,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK316_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5373]) ).
thf(5437,plain,
! [SV351: $i,SV389: $i] :
( ( ( sK1_SY0 @ SV389 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5387]) ).
thf(5438,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK303_SX1 @ SV351 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5316]) ).
thf(5439,plain,
! [SV351: $i,SV373: $i,SV396: $i] :
( ( ( sK1_SY0 @ SV396 )
= $false )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5415]) ).
thf(5440,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK318_SX1 @ SV373 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5389]) ).
thf(5441,plain,
! [SV373: $i,SV351: $i,SV392: $i] :
( ( ( sK1_SY0 @ SV392 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5400]) ).
thf(5442,plain,
! [SV373: $i,SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV373 )
= $false )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5342]) ).
thf(5443,plain,
! [SV351: $i,SV390: $i] :
( ( ( sK1_SY0 @ SV390 )
= $false )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5391]) ).
thf(5444,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK310_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5321]) ).
thf(5445,plain,
! [SV351: $i,SV385: $i] :
( ( ( sK1_SY0 @ SV385 )
= $false )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5344]) ).
thf(5446,plain,
! [SV351: $i] :
( ( ( ( sK295_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK295_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( sK296_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( sK296_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK295_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[5246]) ).
thf(5447,plain,
! [SV351: $i] :
( ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( sK1_SY0 @ ( sK294_E @ SV351 ) )
= $true ) ),
inference(sim,[status(thm)],[4909]) ).
thf(5448,plain,
( ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true ) ),
inference(sim,[status(thm)],[4922]) ).
thf(5449,plain,
! [SV351: $i,SV380: $i] :
( ( ( sK1_SY0 @ SV380 )
= $false )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[5247]) ).
thf(5450,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( sK1_SY0 @ ( sK304_SX1 @ SV351 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[5147]) ).
thf(5451,plain,
! [SV351: $i,SV374: $i] :
( ( ( sK1_SY0 @ SV374 )
= $false )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[5172]) ).
thf(5452,plain,
! [SV351: $i] :
( ( ( ( sK299_E @ SV351 )
= ( eps
@ ^ [SX1: $i] : $false ) )
= $true )
| ( ( ( sK299_E @ SV351 )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0 @ SV351 )
= $false )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( eps
@ ^ [SX0: $i] :
( ~ ( ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps @ sK1_SY0 ) ) )
| ~ ( ~ ~ ~ ! [SX1: $i] :
~ ( sK1_SY0 @ SX1 )
| ( SX0
!= ( eps
@ ^ [SX1: $i] : $false ) ) ) ) )
= ( eps @ sK1_SY0 ) )
= $true )
| ( ( sK1_SY0
@ ( sK2_SX1
@ ( eps
@ ^ [SX0: $i] : $false ) ) )
= $true ) ),
inference(sim,[status(thm)],[5074]) ).
thf(5454,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,5452,5451,5450,5449,5448,5447,5446,5445,5444,5443,5442,5441,5440,5439,5438,5437,5436,5435,5434,5433,5432,5431,5430,5429,5428,5427,5426,5425,5424,5423,5422,5421,5420,5419,5233,5162,5137,5102,5079,5064,4934,4933,4932,4931,4930,4929,4928,4927,4926,4921,4920,4911,4835,4804,4801,4800,4799,4798,4797,4796,4795,4794,4793,4792,4791,4790,4789,4788,4787,4786,4785,4784,4783,4782,4781,4780,4779,4778,4777,4776,4775,4774,4773,4772,4771,4770,4769,4768,4767,4766,4765,4764,4763,4762,4761,4760,4759,4758,4757,4756,4755,4754,4753,4752,4751,4750,4749,4748,4747,4746,4745,4744,4743,4742,4741,4740,4739,4738,4737,4736,4735,4734,4733,4732,4731,4730,4729,4728,4727,4726,4725,4724,4723,4722,4721,4720,4719,4718,4717,4716,4715,4714,4713,4712,4711,4710,4709,4708,4707,4706,4705,4704,4703,4702,4701,4700,4699,4698,4697,4696,4690,4689,4683,4681,4669,4668,4660,4654,4652,4642,4640,4638,4636,4611,4606,4603,4575,4573,4570,4569,4548,4546,4535,4530,4527,4503,4498,4481,4480,4445,4440,4430,4394,4390,4334,4321,4309,4295,4102,4090,4080,3998,3986,3976,3865,3861,3843,3744,3740,3725,3615,3605,3595,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2842,2841,2832,2822,2676,2674,2602,2597,2596,2595,2594,2593,2592,2591,2590,2589,2588,2587,2586,2585,2584,2583,2582,2581,2580,2579,2578,2577,2576,2575,2574,2573,2572,2571,2570,2569,2568,2567,2566,2565,2564,2563,2562,2561,2560,2559,2558,2557,2556,2555,2554,2553,2552,2551,2550,2549,2548,2547,2546,2545,2544,2543,2542,2541,2540,2539,2538,2537,2536,2535,2534,2533,2532,2531,2530,2529,2528,2527,2526,2525,2524,2523,2522,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2491,2490,2484,2482,2470,2469,2461,2455,2453,2443,2441,2439,2437,2412,2407,2404,2376,2374,2371,2370,2349,2347,2336,2331,2328,2304,2299,2282,2281,2246,2241,2231,2195,2191,2139,2126,2114,2100,1923,1911,1901,1831,1819,1809,1714,1710,1692,1609,1605,1590,1500,1490,1480,913,912,911,910,909,908,907,906,905,904,903,902,901,900,899,898,897,896,895,894,893,892,891,890,889,840,839,820,593,592,591,590,589,580,578,576,574,571,568,565,562,557,553,549,545,541,537,533,529,528,523,518,513,412,411,410,409,408,407,406,405,305,304,303,302,293,291,289,287,284,281,278,275,270,266,262,258,254,250,246,242,241,236,231,226,125,124,123,122,121,120,119,118,113,111,108,104,102,96]) ).
thf(5455,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[5454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO556^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.17 % Computer : n016.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Oct 6 17:47:14 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 138.18/23.39
% 138.18/23.39 No.of.Axioms: 1
% 138.18/23.39
% 138.18/23.39 Length.of.Defs: 167
% 138.18/23.39
% 138.18/23.39 Contains.Choice.Funs: true
% 138.18/23.39
% 138.18/23.39 *** Modified list of choice operators: eps ***
% 138.18/23.39 ............................................................................................................................................................................................................................................................................................
% 138.18/23.39
% 138.18/23.39 ********************************
% 138.18/23.39 * All subproblems solved! *
% 138.18/23.39 ********************************
% 138.18/23.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5454,loop_count:15,foatp_calls:5,translation:fof_full)
% 138.18/23.39
% 138.18/23.39 %**** Beginning of derivation protocol ****
% 138.18/23.39 % SZS output start CNFRefutation
% See solution above
% 23.31/23.41
% 23.31/23.41 %**** End of derivation protocol ****
% 23.31/23.41 %**** no. of clauses in derivation: 4134 ****
% 23.31/23.41 %**** clause counter: 5454 ****
% 23.31/23.41
% 23.31/23.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:5454,loop_count:15,foatp_calls:5,translation:fof_full)
%------------------------------------------------------------------------------