TSTP Solution File: SEV083^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV083^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:34:43 EDT 2022
% Result : Theorem 0.95s 1.12s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 357
% Syntax : Number of formulae : 966 ( 15 unt; 356 typ; 0 def)
% Number of atoms : 11566 (5392 equ; 0 cnn)
% Maximal formula atoms : 6 ( 18 avg)
% Number of connectives : 7854 ( 604 ~;2325 |; 22 &;4898 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5235 (5235 >; 0 *; 0 +; 0 <<)
% Number of symbols : 359 ( 356 usr; 35 con; 0-2 aty)
% Number of variables : 5819 (4948 ^ 866 !; 5 ?;5819 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK100_SV177,type,
sK100_SV177: $i ).
thf(tp_sK101_SV178,type,
sK101_SV178: $i > $i ).
thf(tp_sK102_SV179,type,
sK102_SV179: $i ).
thf(tp_sK103_SV181,type,
sK103_SV181: $i ).
thf(tp_sK104_SV182,type,
sK104_SV182: $i ).
thf(tp_sK105_SV185,type,
sK105_SV185: $i > $i ).
thf(tp_sK106_SV186,type,
sK106_SV186: $i ).
thf(tp_sK107_SV187,type,
sK107_SV187: $i > $i ).
thf(tp_sK108_SV188,type,
sK108_SV188: $i ).
thf(tp_sK109_SV191,type,
sK109_SV191: $i ).
thf(tp_sK10_SV41,type,
sK10_SV41: $i > $i ).
thf(tp_sK110_SV192,type,
sK110_SV192: $i ).
thf(tp_sK111_SV194,type,
sK111_SV194: $i > $i ).
thf(tp_sK112_SV195,type,
sK112_SV195: $i > $i ).
thf(tp_sK113_SV198,type,
sK113_SV198: $i ).
thf(tp_sK114_SV199,type,
sK114_SV199: $i ).
thf(tp_sK115_SV200,type,
sK115_SV200: $i > $i ).
thf(tp_sK116_SV201,type,
sK116_SV201: $i > $i ).
thf(tp_sK117_SV202,type,
sK117_SV202: $i > $i ).
thf(tp_sK118_SV203,type,
sK118_SV203: $i > $i ).
thf(tp_sK119_SV205,type,
sK119_SV205: $i > $i ).
thf(tp_sK11_SV47,type,
sK11_SV47: $i > $i ).
thf(tp_sK120_SV206,type,
sK120_SV206: $i > $i ).
thf(tp_sK121_SV207,type,
sK121_SV207: $i > $i ).
thf(tp_sK122_SV208,type,
sK122_SV208: $i > $i ).
thf(tp_sK123_SV209,type,
sK123_SV209: $i > $i ).
thf(tp_sK124_SV210,type,
sK124_SV210: $i > $i ).
thf(tp_sK125_SV211,type,
sK125_SV211: $i > $i ).
thf(tp_sK126_SV212,type,
sK126_SV212: $i > $i ).
thf(tp_sK127_SV215,type,
sK127_SV215: $i > $i ).
thf(tp_sK128_SV216,type,
sK128_SV216: $i ).
thf(tp_sK129_SV217,type,
sK129_SV217: $i > $i ).
thf(tp_sK12_SV49,type,
sK12_SV49: $i > $i ).
thf(tp_sK130_SV218,type,
sK130_SV218: $i ).
thf(tp_sK131_SV225,type,
sK131_SV225: $i > $i ).
thf(tp_sK132_SV226,type,
sK132_SV226: $i > $i ).
thf(tp_sK133_SV227,type,
sK133_SV227: $i > $i ).
thf(tp_sK134_SV228,type,
sK134_SV228: $i > $i ).
thf(tp_sK135_SV229,type,
sK135_SV229: $i > $i ).
thf(tp_sK136_SV230,type,
sK136_SV230: $i > $i ).
thf(tp_sK137_SV231,type,
sK137_SV231: $i > $i ).
thf(tp_sK138_SV232,type,
sK138_SV232: $i > $i ).
thf(tp_sK139_SV238,type,
sK139_SV238: $i > $i ).
thf(tp_sK13_SV51,type,
sK13_SV51: $i > $i ).
thf(tp_sK140_SV239,type,
sK140_SV239: $i > $i ).
thf(tp_sK141_SV245,type,
sK141_SV245: $i > $i ).
thf(tp_sK142_SV246,type,
sK142_SV246: $i > $i ).
thf(tp_sK143_SV247,type,
sK143_SV247: $i > $i ).
thf(tp_sK144_SV248,type,
sK144_SV248: $i > $i ).
thf(tp_sK145_SV249,type,
sK145_SV249: $i > $i ).
thf(tp_sK146_SV250,type,
sK146_SV250: $i > $i ).
thf(tp_sK147_SV251,type,
sK147_SV251: $i > $i ).
thf(tp_sK148_SV252,type,
sK148_SV252: $i > $i ).
thf(tp_sK149_SV261,type,
sK149_SV261: $i > $i ).
thf(tp_sK14_SV53,type,
sK14_SV53: $i > $i ).
thf(tp_sK150_SV262,type,
sK150_SV262: $i > $i ).
thf(tp_sK151_SV263,type,
sK151_SV263: $i > $i ).
thf(tp_sK152_SV264,type,
sK152_SV264: $i > $i ).
thf(tp_sK153_SV265,type,
sK153_SV265: $i > $i ).
thf(tp_sK154_SV266,type,
sK154_SV266: $i > $i ).
thf(tp_sK155_SV267,type,
sK155_SV267: $i > $i ).
thf(tp_sK156_SV268,type,
sK156_SV268: $i > $i ).
thf(tp_sK157_SV277,type,
sK157_SV277: $i > $i ).
thf(tp_sK158_SV278,type,
sK158_SV278: $i > $i ).
thf(tp_sK159_SV279,type,
sK159_SV279: $i > $i ).
thf(tp_sK15_SV58,type,
sK15_SV58: $i > $i ).
thf(tp_sK160_SV280,type,
sK160_SV280: $i > $i ).
thf(tp_sK161_SV281,type,
sK161_SV281: $i > $i ).
thf(tp_sK162_SV282,type,
sK162_SV282: $i > $i ).
thf(tp_sK163_SV283,type,
sK163_SV283: $i > $i ).
thf(tp_sK164_SV284,type,
sK164_SV284: $i > $i ).
thf(tp_sK165_E,type,
sK165_E: $i > $i > $i ).
thf(tp_sK166_E,type,
sK166_E: $i > $i > $i ).
thf(tp_sK167_E,type,
sK167_E: $i > $i > $i ).
thf(tp_sK168_E,type,
sK168_E: $i > $i > $i ).
thf(tp_sK169_E,type,
sK169_E: $i > $i > $i ).
thf(tp_sK16_SV59,type,
sK16_SV59: $i > $i ).
thf(tp_sK170_E,type,
sK170_E: $i > $i > $i ).
thf(tp_sK171_E,type,
sK171_E: $i > $i > $i ).
thf(tp_sK172_E,type,
sK172_E: $i > $i > $i ).
thf(tp_sK173_E,type,
sK173_E: $i > $i > $i ).
thf(tp_sK174_E,type,
sK174_E: $i > $i > $i ).
thf(tp_sK175_E,type,
sK175_E: $i > $i > $i ).
thf(tp_sK176_E,type,
sK176_E: $i > $i > $i ).
thf(tp_sK177_E,type,
sK177_E: $i > $i > $i ).
thf(tp_sK178_E,type,
sK178_E: $i > $i > $i ).
thf(tp_sK179_E,type,
sK179_E: $i > $i > $i ).
thf(tp_sK17_SV60,type,
sK17_SV60: $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 > $i ).
thf(tp_sK185_E,type,
sK185_E: $i > $i > $i ).
thf(tp_sK186_E,type,
sK186_E: $i > $i > $i ).
thf(tp_sK187_E,type,
sK187_E: $i > $i > $i ).
thf(tp_sK188_E,type,
sK188_E: $i > $i > $i ).
thf(tp_sK189_E,type,
sK189_E: $i > $i > $i ).
thf(tp_sK18_SV61,type,
sK18_SV61: $i > $i ).
thf(tp_sK190_E,type,
sK190_E: $i > $i > $i ).
thf(tp_sK191_E,type,
sK191_E: $i > $i > $i ).
thf(tp_sK192_E,type,
sK192_E: $i > $i > $i ).
thf(tp_sK193_E,type,
sK193_E: $i > $i > $i ).
thf(tp_sK194_E,type,
sK194_E: $i > $i > $i ).
thf(tp_sK195_E,type,
sK195_E: $i > $i > $i ).
thf(tp_sK196_E,type,
sK196_E: $i > $i > $i ).
thf(tp_sK197_E,type,
sK197_E: $i > $i > $i ).
thf(tp_sK198_E,type,
sK198_E: $i > $i > $i ).
thf(tp_sK199_E,type,
sK199_E: $i > $i > $i ).
thf(tp_sK19_SV62,type,
sK19_SV62: $i > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK200_E,type,
sK200_E: $i > $i > $i ).
thf(tp_sK201_E,type,
sK201_E: $i > $i > $i ).
thf(tp_sK202_E,type,
sK202_E: $i > $i > $i ).
thf(tp_sK203_E,type,
sK203_E: $i > $i > $i ).
thf(tp_sK204_E,type,
sK204_E: $i > $i > $i ).
thf(tp_sK205_E,type,
sK205_E: $i > $i > $i ).
thf(tp_sK206_E,type,
sK206_E: $i > $i > $i ).
thf(tp_sK207_E,type,
sK207_E: $i > $i > $i ).
thf(tp_sK208_E,type,
sK208_E: $i > $i > $i ).
thf(tp_sK209_E,type,
sK209_E: $i > $i > $i ).
thf(tp_sK20_SV63,type,
sK20_SV63: $i > $i ).
thf(tp_sK210_E,type,
sK210_E: $i > $i > $i ).
thf(tp_sK211_E,type,
sK211_E: $i > $i > $i ).
thf(tp_sK212_E,type,
sK212_E: $i > $i > $i ).
thf(tp_sK213_E,type,
sK213_E: $i > $i > $i ).
thf(tp_sK214_E,type,
sK214_E: $i > $i > $i ).
thf(tp_sK215_E,type,
sK215_E: $i > $i > $i ).
thf(tp_sK216_E,type,
sK216_E: $i > $i > $i ).
thf(tp_sK217_E,type,
sK217_E: $i > $i > $i ).
thf(tp_sK218_E,type,
sK218_E: $i > $i > $i ).
thf(tp_sK219_E,type,
sK219_E: $i > $i > $i ).
thf(tp_sK21_SV64,type,
sK21_SV64: $i > $i ).
thf(tp_sK220_E,type,
sK220_E: $i > $i > $i ).
thf(tp_sK221_E,type,
sK221_E: $i ).
thf(tp_sK222_E,type,
sK222_E: $i ).
thf(tp_sK223_E,type,
sK223_E: $i ).
thf(tp_sK224_E,type,
sK224_E: $i ).
thf(tp_sK225_E,type,
sK225_E: $i ).
thf(tp_sK226_E,type,
sK226_E: $i ).
thf(tp_sK227_E,type,
sK227_E: $i ).
thf(tp_sK228_E,type,
sK228_E: $i ).
thf(tp_sK229_E,type,
sK229_E: $i > $i ).
thf(tp_sK22_SV65,type,
sK22_SV65: $i > $i ).
thf(tp_sK230_E,type,
sK230_E: $i > $i ).
thf(tp_sK231_E,type,
sK231_E: $i > $i ).
thf(tp_sK232_E,type,
sK232_E: $i > $i ).
thf(tp_sK233_E,type,
sK233_E: $i > $i ).
thf(tp_sK234_E,type,
sK234_E: $i > $i ).
thf(tp_sK235_E,type,
sK235_E: $i > $i ).
thf(tp_sK236_E,type,
sK236_E: $i > $i ).
thf(tp_sK237_E,type,
sK237_E: $i > $i ).
thf(tp_sK238_E,type,
sK238_E: $i > $i ).
thf(tp_sK239_E,type,
sK239_E: $i > $i ).
thf(tp_sK23_SV86,type,
sK23_SV86: $i > $i ).
thf(tp_sK240_E,type,
sK240_E: $i > $i ).
thf(tp_sK241_E,type,
sK241_E: $i > $i ).
thf(tp_sK242_E,type,
sK242_E: $i > $i ).
thf(tp_sK243_E,type,
sK243_E: $i > $i ).
thf(tp_sK244_E,type,
sK244_E: $i > $i ).
thf(tp_sK245_E,type,
sK245_E: $i > $i ).
thf(tp_sK246_E,type,
sK246_E: $i > $i ).
thf(tp_sK247_E,type,
sK247_E: $i > $i ).
thf(tp_sK248_E,type,
sK248_E: $i > $i ).
thf(tp_sK249_E,type,
sK249_E: $i > $i ).
thf(tp_sK24_SV91,type,
sK24_SV91: $i > $i ).
thf(tp_sK250_E,type,
sK250_E: $i > $i ).
thf(tp_sK251_E,type,
sK251_E: $i > $i ).
thf(tp_sK252_E,type,
sK252_E: $i > $i ).
thf(tp_sK253_E,type,
sK253_E: $i > $i ).
thf(tp_sK254_E,type,
sK254_E: $i > $i ).
thf(tp_sK255_E,type,
sK255_E: $i > $i ).
thf(tp_sK256_E,type,
sK256_E: $i > $i ).
thf(tp_sK257_E,type,
sK257_E: $i > $i ).
thf(tp_sK258_E,type,
sK258_E: $i > $i ).
thf(tp_sK259_E,type,
sK259_E: $i > $i ).
thf(tp_sK25_SV96,type,
sK25_SV96: $i > $i ).
thf(tp_sK260_E,type,
sK260_E: $i > $i ).
thf(tp_sK261_E,type,
sK261_E: $i > $i ).
thf(tp_sK262_E,type,
sK262_E: $i > $i ).
thf(tp_sK263_E,type,
sK263_E: $i > $i ).
thf(tp_sK264_E,type,
sK264_E: $i > $i ).
thf(tp_sK265_E,type,
sK265_E: $i > $i ).
thf(tp_sK266_E,type,
sK266_E: $i > $i ).
thf(tp_sK267_E,type,
sK267_E: $i > $i ).
thf(tp_sK268_E,type,
sK268_E: $i > $i ).
thf(tp_sK269_E,type,
sK269_E: $i > $i ).
thf(tp_sK26_SV101,type,
sK26_SV101: $i > $i ).
thf(tp_sK270_E,type,
sK270_E: $i > $i ).
thf(tp_sK271_E,type,
sK271_E: $i > $i ).
thf(tp_sK272_E,type,
sK272_E: $i > $i ).
thf(tp_sK273_E,type,
sK273_E: $i > $i ).
thf(tp_sK274_E,type,
sK274_E: $i > $i ).
thf(tp_sK275_E,type,
sK275_E: $i > $i ).
thf(tp_sK276_E,type,
sK276_E: $i > $i ).
thf(tp_sK277_E,type,
sK277_E: $i > $i ).
thf(tp_sK278_E,type,
sK278_E: $i > $i ).
thf(tp_sK279_E,type,
sK279_E: $i > $i ).
thf(tp_sK27_E,type,
sK27_E: $i > $i ).
thf(tp_sK280_E,type,
sK280_E: $i > $i ).
thf(tp_sK281_E,type,
sK281_E: $i > $i ).
thf(tp_sK282_E,type,
sK282_E: $i > $i ).
thf(tp_sK283_E,type,
sK283_E: $i > $i ).
thf(tp_sK284_E,type,
sK284_E: $i > $i ).
thf(tp_sK285_E,type,
sK285_E: $i > $i ).
thf(tp_sK286_E,type,
sK286_E: $i > $i ).
thf(tp_sK287_E,type,
sK287_E: $i > $i ).
thf(tp_sK288_E,type,
sK288_E: $i > $i ).
thf(tp_sK289_E,type,
sK289_E: $i > $i ).
thf(tp_sK28_E,type,
sK28_E: $i > $i ).
thf(tp_sK290_E,type,
sK290_E: $i > $i ).
thf(tp_sK291_E,type,
sK291_E: $i > $i ).
thf(tp_sK292_E,type,
sK292_E: $i > $i ).
thf(tp_sK293_E,type,
sK293_E: $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_E,type,
sK29_E: $i > $i ).
thf(tp_sK2_Xx,type,
sK2_Xx: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK300_E,type,
sK300_E: $i > $i ).
thf(tp_sK301_E,type,
sK301_E: $i > $i ).
thf(tp_sK302_E,type,
sK302_E: $i > $i ).
thf(tp_sK303_E,type,
sK303_E: $i > $i ).
thf(tp_sK304_E,type,
sK304_E: $i > $i ).
thf(tp_sK305_E,type,
sK305_E: $i > $i ).
thf(tp_sK306_E,type,
sK306_E: $i > $i ).
thf(tp_sK307_E,type,
sK307_E: $i > $i ).
thf(tp_sK308_E,type,
sK308_E: $i > $i ).
thf(tp_sK309_E,type,
sK309_E: $i > $i ).
thf(tp_sK30_E,type,
sK30_E: $i > $i ).
thf(tp_sK310_E,type,
sK310_E: $i > $i ).
thf(tp_sK311_E,type,
sK311_E: $i > $i ).
thf(tp_sK312_E,type,
sK312_E: $i > $i ).
thf(tp_sK313_E,type,
sK313_E: $i > $i ).
thf(tp_sK314_E,type,
sK314_E: $i > $i ).
thf(tp_sK315_E,type,
sK315_E: $i > $i ).
thf(tp_sK316_E,type,
sK316_E: $i > $i ).
thf(tp_sK317_E,type,
sK317_E: $i > $i ).
thf(tp_sK318_E,type,
sK318_E: $i > $i ).
thf(tp_sK319_E,type,
sK319_E: $i > $i ).
thf(tp_sK31_E,type,
sK31_E: $i > $i ).
thf(tp_sK320_E,type,
sK320_E: $i > $i ).
thf(tp_sK321_E,type,
sK321_E: $i > $i ).
thf(tp_sK322_E,type,
sK322_E: $i > $i ).
thf(tp_sK323_E,type,
sK323_E: $i > $i ).
thf(tp_sK324_E,type,
sK324_E: $i > $i ).
thf(tp_sK325_E,type,
sK325_E: $i > $i ).
thf(tp_sK326_E,type,
sK326_E: $i > $i ).
thf(tp_sK327_E,type,
sK327_E: $i > $i ).
thf(tp_sK328_E,type,
sK328_E: $i > $i ).
thf(tp_sK329_E,type,
sK329_E: $i > $i ).
thf(tp_sK32_E,type,
sK32_E: $i > $i ).
thf(tp_sK330_E,type,
sK330_E: $i > $i ).
thf(tp_sK331_E,type,
sK331_E: $i > $i ).
thf(tp_sK332_E,type,
sK332_E: $i > $i ).
thf(tp_sK333_E,type,
sK333_E: $i > $i ).
thf(tp_sK334_E,type,
sK334_E: $i > $i ).
thf(tp_sK335_E,type,
sK335_E: $i > $i ).
thf(tp_sK336_E,type,
sK336_E: $i > $i ).
thf(tp_sK337_E,type,
sK337_E: $i > $i ).
thf(tp_sK338_E,type,
sK338_E: $i > $i ).
thf(tp_sK339_E,type,
sK339_E: $i > $i ).
thf(tp_sK33_E,type,
sK33_E: $i > $i ).
thf(tp_sK340_E,type,
sK340_E: $i > $i ).
thf(tp_sK341_E,type,
sK341_E: $i > $i ).
thf(tp_sK342_E,type,
sK342_E: $i > $i ).
thf(tp_sK343_E,type,
sK343_E: $i > $i ).
thf(tp_sK344_E,type,
sK344_E: $i > $i ).
thf(tp_sK345_E,type,
sK345_E: $i > $i ).
thf(tp_sK346_E,type,
sK346_E: $i > $i ).
thf(tp_sK347_E,type,
sK347_E: $i > $i ).
thf(tp_sK348_E,type,
sK348_E: $i > $i ).
thf(tp_sK349_E,type,
sK349_E: $i > $i ).
thf(tp_sK34_E,type,
sK34_E: $i > $i ).
thf(tp_sK350_E,type,
sK350_E: $i > $i ).
thf(tp_sK351_E,type,
sK351_E: $i > $i ).
thf(tp_sK352_E,type,
sK352_E: $i > $i ).
thf(tp_sK353_E,type,
sK353_E: $i > $i ).
thf(tp_sK354_E,type,
sK354_E: $i > $i ).
thf(tp_sK355_E,type,
sK355_E: $i > $i ).
thf(tp_sK356_E,type,
sK356_E: $i > $i ).
thf(tp_sK35_E,type,
sK35_E: $i > $i ).
thf(tp_sK36_E,type,
sK36_E: $i > $i ).
thf(tp_sK37_E,type,
sK37_E: $i > $i ).
thf(tp_sK38_E,type,
sK38_E: $i > $i ).
thf(tp_sK39_E,type,
sK39_E: $i > $i ).
thf(tp_sK3_SY7,type,
sK3_SY7: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK40_E,type,
sK40_E: $i > $i ).
thf(tp_sK41_E,type,
sK41_E: $i > $i ).
thf(tp_sK42_E,type,
sK42_E: $i > $i ).
thf(tp_sK43_E,type,
sK43_E: $i > $i ).
thf(tp_sK44_E,type,
sK44_E: $i > $i ).
thf(tp_sK45_E,type,
sK45_E: $i > $i ).
thf(tp_sK46_E,type,
sK46_E: $i > $i ).
thf(tp_sK47_E,type,
sK47_E: $i > $i ).
thf(tp_sK48_E,type,
sK48_E: $i > $i ).
thf(tp_sK49_E,type,
sK49_E: $i > $i ).
thf(tp_sK4_SY9,type,
sK4_SY9: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
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 ).
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_SV24,type,
sK5_SV24: $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_E,type,
sK67_E: $i > $i ).
thf(tp_sK68_E,type,
sK68_E: $i > $i ).
thf(tp_sK69_E,type,
sK69_E: $i > $i ).
thf(tp_sK6_SV25,type,
sK6_SV25: $i ).
thf(tp_sK70_E,type,
sK70_E: $i > $i ).
thf(tp_sK71_E,type,
sK71_E: $i > $i ).
thf(tp_sK72_E,type,
sK72_E: $i > $i ).
thf(tp_sK73_E,type,
sK73_E: $i > $i ).
thf(tp_sK74_E,type,
sK74_E: $i > $i ).
thf(tp_sK75_E,type,
sK75_E: $i > $i ).
thf(tp_sK76_E,type,
sK76_E: $i > $i ).
thf(tp_sK77_E,type,
sK77_E: $i > $i ).
thf(tp_sK78_E,type,
sK78_E: $i > $i ).
thf(tp_sK79_E,type,
sK79_E: $i > $i ).
thf(tp_sK7_SV32,type,
sK7_SV32: $i > $i ).
thf(tp_sK80_E,type,
sK80_E: $i > $i ).
thf(tp_sK81_E,type,
sK81_E: $i > $i ).
thf(tp_sK82_E,type,
sK82_E: $i > $i ).
thf(tp_sK83_E,type,
sK83_E: $i ).
thf(tp_sK84_E,type,
sK84_E: $i ).
thf(tp_sK85_SV155,type,
sK85_SV155: $i ).
thf(tp_sK86_SV156,type,
sK86_SV156: $i ).
thf(tp_sK87_SV157,type,
sK87_SV157: $i > $i ).
thf(tp_sK88_SV158,type,
sK88_SV158: $i > $i ).
thf(tp_sK89_SV159,type,
sK89_SV159: $i > $i ).
thf(tp_sK8_SV35,type,
sK8_SV35: $i > $i ).
thf(tp_sK90_SV160,type,
sK90_SV160: $i > $i ).
thf(tp_sK91_SV162,type,
sK91_SV162: $i ).
thf(tp_sK92_SV163,type,
sK92_SV163: $i ).
thf(tp_sK93_SV169,type,
sK93_SV169: $i ).
thf(tp_sK94_SV170,type,
sK94_SV170: $i ).
thf(tp_sK95_SV171,type,
sK95_SV171: $i ).
thf(tp_sK96_SV172,type,
sK96_SV172: $i ).
thf(tp_sK97_SV173,type,
sK97_SV173: $i ).
thf(tp_sK98_SV174,type,
sK98_SV174: $i > $i ).
thf(tp_sK99_SV176,type,
sK99_SV176: $i > $i ).
thf(tp_sK9_SV38,type,
sK9_SV38: $i > $i ).
thf(1,conjecture,
( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120_3_pme) ).
thf(2,negated_conjecture,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) )
& $true )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
$true = $false,
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o] : ( R @ Xx @ Xx )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ $true )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( R @ ( sK2_Xx @ R ) @ ( sK3_SY7 @ R ) )
& ( R @ ( sK3_SY7 @ R ) @ ( sK4_SY9 @ R ) )
& ~ ( R @ ( sK2_Xx @ R ) @ ( sK4_SY9 @ R ) ) )
| ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
| ~ ( R @ ( sK1_Xx @ R ) @ ( sK1_Xx @ R ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( R @ ( sK2_Xx @ R ) @ ( sK3_SY7 @ R ) )
& ( R @ ( sK3_SY7 @ R ) @ ( sK4_SY9 @ R ) )
& ~ ( R @ ( sK2_Xx @ R ) @ ( sK4_SY9 @ R ) ) )
| ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
| ~ ( R @ ( sK1_Xx @ R ) @ ( sK1_Xx @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK2_Xx @ SX0 ) @ ( sK3_SY7 @ SX0 ) )
| ~ ( SX0 @ ( sK3_SY7 @ SX0 ) @ ( sK4_SY9 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK2_Xx @ SX0 ) @ ( sK4_SY9 @ SX0 ) ) )
| ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SX0 @ ( sK1_Xx @ SX0 ) @ ( sK1_Xx @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
| ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) ) )
= $true )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) ) )
= $true )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
= $true )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) ) )
= $false )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
= $true )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $true )
| ( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK2_Xx @ SV1 ) @ ( sK3_SY7 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK1_Xx @ SV1 ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( SV1 @ ( sK3_SY7 @ SV1 ) @ ( sK4_SY9 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(replace_andrewsEQ,[status(thm)],[25:[bind(SV1,$thf( ^ [SV3: $i > $o] : ^ [SV2: $i > $o] : ( SV3 = SV2 ) ))]]) ).
thf(31,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[30]) ).
thf(32,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[28:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV4: $i > $o] : ( SV5 = SV4 ) ))]]) ).
thf(33,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[32]) ).
thf(34,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[29:[bind(SV1,$thf( ^ [SV7: $i > $o] : ^ [SV6: $i > $o] : ( SV7 = SV6 ) ))]]) ).
thf(35,plain,
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[34]) ).
thf(38,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[25:[bind(SV1,$thf( ^ [SV8: $i > $o] : ^ [SV9: $i > $o] : ~ ( SV10 @ SV8 @ SV9 ) ))]]) ).
thf(40,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(prim_subst,[status(thm)],[25:[bind(SV1,$thf( ^ [SV16: $i > $o] : ^ [SV15: $i > $o] : ( SV16 = SV15 ) ))]]) ).
thf(43,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV1,$thf( ^ [SV8: $i > $o] : ^ [SV9: $i > $o] : ~ ( SV10 @ SV8 @ SV9 ) ))]]) ).
thf(45,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[28:[bind(SV1,$thf( ^ [SV16: $i > $o] : ^ [SV15: $i > $o] : ( SV16 = SV15 ) ))]]) ).
thf(48,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV1,$thf( ^ [SV8: $i > $o] : ^ [SV9: $i > $o] : ~ ( SV10 @ SV8 @ SV9 ) ))]]) ).
thf(50,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true ) ),
inference(prim_subst,[status(thm)],[29:[bind(SV1,$thf( ^ [SV16: $i > $o] : ^ [SV15: $i > $o] : ( SV16 = SV15 ) ))]]) ).
thf(51,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[33]) ).
thf(52,plain,
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[35]) ).
thf(53,plain,
! [SV17: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[51]) ).
thf(54,plain,
! [SV18: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[52]) ).
thf(55,plain,
! [SV19: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[31]) ).
thf(56,plain,
! [SV20: $i,SV21: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(57,plain,
! [SV22: $i,SV23: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[35]) ).
thf(58,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV19: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV20: $i,SV21: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[56]) ).
thf(67,plain,
! [SV22: $i,SV23: $i] :
( ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[57]) ).
thf(68,plain,
! [SV17: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[59]) ).
thf(69,plain,
! [SV17: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[59]) ).
thf(70,plain,
! [SV17: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(71,plain,
! [SV17: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[58]) ).
thf(72,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[61]) ).
thf(73,plain,
! [SV18: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[61]) ).
thf(74,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
| ~ ( ( ( ^ [SX0: $i] : $true )
!= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
!= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(75,plain,
! [SV18: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[60]) ).
thf(76,plain,
( ( ( ! [SV24: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV24 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV24 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[63]) ).
thf(77,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[63]) ).
thf(80,plain,
! [SV17: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(82,plain,
! [SV17: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(84,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(86,plain,
! [SV18: $i] :
( ( ( ~ ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(88,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[76]) ).
thf(90,plain,
! [SV17: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV17: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(94,plain,
! [SV18: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(96,plain,
! [SV18: $i] :
( ( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(98,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[88]) ).
thf(102,plain,
! [SV17: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(104,plain,
! [SV17: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(106,plain,
! [SV18: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(108,plain,
! [SV18: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(110,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(111,plain,
( ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[98]) ).
thf(114,plain,
! [SV17: $i] :
( ( ( ! [SV26: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV17: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV17: $i] :
( ( ( ! [SV27: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[104]) ).
thf(118,plain,
! [SV17: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[104]) ).
thf(120,plain,
! [SV18: $i] :
( ( ( ! [SV28: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV18: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[106]) ).
thf(123,plain,
! [SV18: $i] :
( ( ( ! [SV29: $i] : ( $true = $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(124,plain,
! [SV18: $i] :
( ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(126,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(127,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(130,plain,
! [SV17: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(131,plain,
! [SV17: $i] :
( ( ( ! [SV31: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV31 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV31 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(132,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[115]) ).
thf(135,plain,
! [SV17: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV17: $i] :
( ( ( ! [SV34: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV34 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV34 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[118]) ).
thf(137,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[118]) ).
thf(140,plain,
! [SV18: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(141,plain,
! [SV18: $i] :
( ( ( ! [SV37: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV37 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV37 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[121]) ).
thf(142,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[121]) ).
thf(145,plain,
! [SV18: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(146,plain,
! [SV18: $i] :
( ( ( ! [SV40: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV40 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV40 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(147,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[124]) ).
thf(150,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(151,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $true )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(154,plain,
! [SV17: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV17: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[130]) ).
thf(156,plain,
! [SV17: $i,SV42: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(159,plain,
! [SV17: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV17: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[135]) ).
thf(161,plain,
! [SV17: $i,SV43: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(164,plain,
! [SV18: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(165,plain,
! [SV18: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[140]) ).
thf(166,plain,
! [SV18: $i,SV44: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(169,plain,
! [SV18: $i] :
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(170,plain,
! [SV18: $i] :
( ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[145]) ).
thf(171,plain,
! [SV18: $i,SV45: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(174,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $false )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 ) )
= $true )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(176,plain,
! [SV17: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(177,plain,
! [SV17: $i] :
( ( ( ! [SV46: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV46 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(178,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[155]) ).
thf(179,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(180,plain,
! [SV17: $i,SV42: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[156]) ).
thf(185,plain,
! [SV17: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(186,plain,
! [SV17: $i] :
( ( ( ! [SV48: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV48 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV48 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(187,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[160]) ).
thf(188,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(189,plain,
! [SV17: $i,SV43: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[161]) ).
thf(194,plain,
! [SV18: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(195,plain,
! [SV18: $i] :
( ( ( ! [SV50: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV50 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV50 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(196,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[165]) ).
thf(197,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[166]) ).
thf(198,plain,
! [SV18: $i,SV44: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[166]) ).
thf(203,plain,
! [SV18: $i] :
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(204,plain,
! [SV18: $i] :
( ( ( ! [SV52: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV52 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[170]) ).
thf(205,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[170]) ).
thf(206,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[171]) ).
thf(207,plain,
! [SV18: $i,SV45: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[171]) ).
thf(212,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(214,plain,
! [SV17: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(215,plain,
! [SV17: $i,SV54: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(216,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(221,plain,
! [SV17: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(222,plain,
! [SV17: $i,SV55: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(223,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(228,plain,
! [SV18: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(229,plain,
! [SV18: $i,SV56: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(230,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(235,plain,
! [SV18: $i] :
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(236,plain,
! [SV18: $i,SV57: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(237,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(242,plain,
! [SV17: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[214]) ).
thf(244,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[215]) ).
thf(245,plain,
! [SV17: $i,SV54: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[215]) ).
thf(246,plain,
! [SV17: $i,SV42: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(253,plain,
! [SV17: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(255,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(256,plain,
! [SV17: $i,SV55: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[222]) ).
thf(257,plain,
! [SV17: $i,SV43: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(264,plain,
! [SV18: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(266,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[229]) ).
thf(267,plain,
! [SV18: $i,SV56: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[229]) ).
thf(268,plain,
! [SV18: $i,SV44: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(275,plain,
! [SV18: $i] :
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(277,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[236]) ).
thf(278,plain,
! [SV18: $i,SV57: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[236]) ).
thf(279,plain,
! [SV18: $i,SV45: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(286,plain,
! [SV17: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(288,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(289,plain,
! [SV17: $i,SV42: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(290,plain,
! [SV17: $i,SV42: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[246]) ).
thf(296,plain,
! [SV17: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(298,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(299,plain,
! [SV17: $i,SV43: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(300,plain,
! [SV17: $i,SV43: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(306,plain,
! [SV18: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(308,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(309,plain,
! [SV18: $i,SV44: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(310,plain,
! [SV18: $i,SV44: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(316,plain,
! [SV18: $i] :
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(318,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(319,plain,
! [SV18: $i,SV45: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(320,plain,
! [SV18: $i,SV45: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) ) )
= $true )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(327,plain,
! [SV17: $i] :
( ( ( ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(330,plain,
! [SV17: $i,SV54: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(331,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(332,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(340,plain,
! [SV17: $i] :
( ( ( ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(343,plain,
! [SV17: $i,SV55: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(344,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(345,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(353,plain,
! [SV18: $i] :
( ( ( ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[306]) ).
thf(356,plain,
! [SV18: $i,SV56: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(357,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(358,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(366,plain,
! [SV18: $i] :
( ( ( ~ $false )
= $false )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(369,plain,
! [SV18: $i,SV57: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(370,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(371,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(379,plain,
! [SV17: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(382,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(383,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[330]) ).
thf(385,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[331]) ).
thf(386,plain,
! [SV17: $i,SV42: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(396,plain,
! [SV17: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(399,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(400,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[343]) ).
thf(402,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(403,plain,
! [SV17: $i,SV43: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[345]) ).
thf(413,plain,
! [SV18: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(416,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(417,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(419,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(420,plain,
! [SV18: $i,SV44: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[358]) ).
thf(430,plain,
! [SV18: $i] :
( ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(433,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(434,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[369]) ).
thf(436,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(437,plain,
! [SV18: $i,SV45: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[371]) ).
thf(448,plain,
! [SV17: $i] :
( ( ( ! [SV67: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV67 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[379]) ).
thf(449,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[379]) ).
thf(454,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(455,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(457,plain,
! [SV17: $i,SV42: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(458,plain,
! [SV17: $i,SV42: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(467,plain,
! [SV17: $i] :
( ( ( ! [SV71: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV71 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[396]) ).
thf(468,plain,
! [SV17: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[396]) ).
thf(473,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(474,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(476,plain,
! [SV17: $i,SV43: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(477,plain,
! [SV17: $i,SV43: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(486,plain,
! [SV18: $i] :
( ( ( ! [SV75: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV75 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(487,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[413]) ).
thf(492,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(493,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(495,plain,
! [SV18: $i,SV44: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(496,plain,
! [SV18: $i,SV44: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(505,plain,
! [SV18: $i] :
( ( ( ! [SV79: $i] :
( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV79 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV79 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(506,plain,
! [SV18: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[430]) ).
thf(511,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(512,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(514,plain,
! [SV18: $i,SV45: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(515,plain,
! [SV18: $i,SV45: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( ( ^ [SX0: $i] : $true )
= ( ^ [SX0: $i] : $false ) )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(523,plain,
! [SV17: $i,SV83: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(527,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[454]) ).
thf(528,plain,
! [SV17: $i,SV54: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[455]) ).
thf(538,plain,
! [SV17: $i,SV88: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(542,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(543,plain,
! [SV17: $i,SV55: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[474]) ).
thf(553,plain,
! [SV18: $i,SV93: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(557,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(558,plain,
! [SV18: $i,SV56: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(568,plain,
! [SV18: $i,SV98: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(572,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(573,plain,
! [SV18: $i,SV57: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(584,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[523]) ).
thf(585,plain,
! [SV17: $i,SV83: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[523]) ).
thf(591,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(592,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[528]) ).
thf(600,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(601,plain,
! [SV17: $i,SV88: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(607,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(608,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(616,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(617,plain,
! [SV18: $i,SV93: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[553]) ).
thf(623,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(624,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(632,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
| ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(633,plain,
! [SV18: $i,SV98: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(639,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(640,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(647,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[584]) ).
thf(656,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(665,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(674,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(683,plain,
! [SV17: $i,SV83: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(691,plain,
! [SV17: $i,SV88: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(699,plain,
! [SV18: $i,SV93: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[665]) ).
thf(707,plain,
! [SV18: $i,SV98: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(716,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(717,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(727,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(728,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(738,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(739,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(749,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(750,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( ~ ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(760,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(761,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(771,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(772,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
| ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(782,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(783,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(793,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(794,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(807,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(808,plain,
! [SV17: $i,SV83: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(824,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(825,plain,
! [SV17: $i,SV88: $i] :
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(841,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(842,plain,
! [SV18: $i,SV93: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(858,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(859,plain,
! [SV18: $i,SV98: $i] :
( ( ( ~ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 ) )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[794]) ).
thf(875,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(876,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[808]) ).
thf(892,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(893,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[825]) ).
thf(909,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(910,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(926,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(927,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(939,plain,
! [SV17: $i,SV103: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(942,plain,
! [SV17: $i,SV106: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[178]) ).
thf(944,plain,
! [SV17: $i,SV42: $i,SV108: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[457]) ).
thf(945,plain,
! [SV17: $i,SV42: $i,SV109: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[458]) ).
thf(947,plain,
! [SV17: $i,SV42: $i,SV111: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[180]) ).
thf(948,plain,
! [SV17: $i,SV112: $i,SV113: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[132]) ).
thf(950,plain,
! [SV17: $i,SV115: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[468]) ).
thf(953,plain,
! [SV17: $i,SV118: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[187]) ).
thf(955,plain,
! [SV17: $i,SV43: $i,SV120: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[476]) ).
thf(956,plain,
! [SV17: $i,SV43: $i,SV121: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[477]) ).
thf(958,plain,
! [SV17: $i,SV43: $i,SV123: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[189]) ).
thf(959,plain,
! [SV17: $i,SV124: $i,SV125: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[137]) ).
thf(961,plain,
! [SV18: $i,SV127: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[487]) ).
thf(964,plain,
! [SV18: $i,SV130: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[196]) ).
thf(966,plain,
! [SV18: $i,SV44: $i,SV132: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(967,plain,
! [SV18: $i,SV44: $i,SV133: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[496]) ).
thf(969,plain,
! [SV18: $i,SV44: $i,SV135: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[198]) ).
thf(970,plain,
! [SV18: $i,SV136: $i,SV137: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[142]) ).
thf(972,plain,
! [SV18: $i,SV139: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(975,plain,
! [SV18: $i,SV142: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[205]) ).
thf(977,plain,
! [SV18: $i,SV45: $i,SV144: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(978,plain,
! [SV18: $i,SV45: $i,SV145: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[515]) ).
thf(980,plain,
! [SV18: $i,SV45: $i,SV147: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[207]) ).
thf(981,plain,
! [SV18: $i,SV148: $i,SV149: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[147]) ).
thf(986,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(987,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(988,plain,
! [SV17: $i,SV103: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(989,plain,
! [SV17: $i,SV103: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[939]) ).
thf(1001,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(1003,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[592]) ).
thf(1007,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[245]) ).
thf(1009,plain,
! [SV17: $i,SV106: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[942]) ).
thf(1013,plain,
! [SV17: $i,SV42: $i,SV108: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1015,plain,
! [SV17: $i,SV42: $i,SV109: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[945]) ).
thf(1019,plain,
! [SV17: $i,SV42: $i,SV111: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[947]) ).
thf(1021,plain,
! [SV17: $i,SV112: $i,SV113: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[948]) ).
thf(1026,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[601]) ).
thf(1027,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[601]) ).
thf(1028,plain,
! [SV17: $i,SV115: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[950]) ).
thf(1029,plain,
! [SV17: $i,SV115: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[950]) ).
thf(1041,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(1043,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[608]) ).
thf(1047,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[256]) ).
thf(1049,plain,
! [SV17: $i,SV118: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1053,plain,
! [SV17: $i,SV43: $i,SV120: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[955]) ).
thf(1055,plain,
! [SV17: $i,SV43: $i,SV121: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[956]) ).
thf(1059,plain,
! [SV17: $i,SV43: $i,SV123: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[958]) ).
thf(1061,plain,
! [SV17: $i,SV124: $i,SV125: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[959]) ).
thf(1066,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(1067,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[617]) ).
thf(1068,plain,
! [SV18: $i,SV127: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1069,plain,
! [SV18: $i,SV127: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[961]) ).
thf(1081,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(1083,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[624]) ).
thf(1087,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[267]) ).
thf(1089,plain,
! [SV18: $i,SV130: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1093,plain,
! [SV18: $i,SV44: $i,SV132: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[966]) ).
thf(1095,plain,
! [SV18: $i,SV44: $i,SV133: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[967]) ).
thf(1099,plain,
! [SV18: $i,SV44: $i,SV135: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[969]) ).
thf(1101,plain,
! [SV18: $i,SV136: $i,SV137: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[970]) ).
thf(1106,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(1107,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(1108,plain,
! [SV18: $i,SV139: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1109,plain,
! [SV18: $i,SV139: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[972]) ).
thf(1121,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[639]) ).
thf(1123,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(1127,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[278]) ).
thf(1129,plain,
! [SV18: $i,SV142: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[975]) ).
thf(1133,plain,
! [SV18: $i,SV45: $i,SV144: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[977]) ).
thf(1135,plain,
! [SV18: $i,SV45: $i,SV145: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[978]) ).
thf(1139,plain,
! [SV18: $i,SV45: $i,SV147: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[980]) ).
thf(1141,plain,
! [SV18: $i,SV148: $i,SV149: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[981]) ).
thf(1155,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK36_E @ SV17 ) )
= $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK35_E @ SV17 ) )
= $true ) ),
inference(extuni,[status(esa)],[69]) ).
thf(1160,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK40_E @ SV17 ) )
= $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK38_E @ SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[69]) ).
thf(1175,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK50_E @ SV17 ) )
= $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK49_E @ SV17 ) )
= $true ) ),
inference(extuni,[status(esa)],[71]) ).
thf(1180,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK54_E @ SV17 ) )
= $true )
| ( $true = $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK52_E @ SV17 ) )
= $false ) ),
inference(extuni,[status(esa)],[71]) ).
thf(1195,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $true = $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK64_E @ SV18 ) )
= $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK63_E @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[73]) ).
thf(1200,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK68_E @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK66_E @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[73]) ).
thf(1215,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $true = $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK78_E @ SV18 ) )
= $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK77_E @ SV18 ) )
= $true ) ),
inference(extuni,[status(esa)],[75]) ).
thf(1220,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK82_E @ SV18 ) )
= $true )
| ( $true = $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK80_E @ SV18 ) )
= $false ) ),
inference(extuni,[status(esa)],[75]) ).
thf(1222,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true ) ),
inference(extuni,[status(esa)],[77]) ).
thf(1223,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false ) ),
inference(extuni,[status(esa)],[77]) ).
thf(1226,plain,
! [SV150: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( ( $true = $false )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[40]) ).
thf(1227,plain,
! [SV151: $i,SV152: $i] :
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[45]) ).
thf(1228,plain,
! [SV153: $i,SV154: $i] :
( ( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 ) )
= $true )
| ( ( $true = $false )
= $true )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[50]) ).
thf(1230,plain,
! [SV150: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1226]) ).
thf(1232,plain,
! [SV151: $i,SV152: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1227]) ).
thf(1234,plain,
! [SV153: $i,SV154: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1228]) ).
thf(1235,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(1237,plain,
( ( ( ! [SV155: $i] :
( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV155 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1230]) ).
thf(1238,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1230]) ).
thf(1241,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(1243,plain,
! [SV151: $i] :
( ( ( ! [SV157: $i] :
( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV157 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV157 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1232]) ).
thf(1244,plain,
! [SV151: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1232]) ).
thf(1247,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false ) )
= $true )
| ( ( ~ ( SV10
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(1249,plain,
! [SV153: $i] :
( ( ( ! [SV159: $i] :
( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV159 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV159 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1234]) ).
thf(1250,plain,
! [SV153: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1234]) ).
thf(1253,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1256,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1237]) ).
thf(1257,plain,
( ( ( ! [SV162: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV162 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV162 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1238]) ).
thf(1258,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1238]) ).
thf(1262,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1265,plain,
! [SV151: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1243]) ).
thf(1267,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV10
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1270,plain,
! [SV153: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1249]) ).
thf(1272,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1253]) ).
thf(1275,plain,
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
| ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1256]) ).
thf(1276,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1256]) ).
thf(1277,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1257]) ).
thf(1281,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1284,plain,
! [SV151: $i] :
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
| ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1265]) ).
thf(1285,plain,
! [SV151: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1265]) ).
thf(1288,plain,
! [SV10: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV10
@ ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV10
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) )
@ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] :
~ ( SV10 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV10
@ ^ [SX0: $i] : $true
@ ^ [SX0: $i] : $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1291,plain,
! [SV153: $i] :
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
| ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1270]) ).
thf(1292,plain,
! [SV153: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1270]) ).
thf(1299,plain,
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1300,plain,
( ( ( ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1301,plain,
( ( ( ! [SV170: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV170 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV170 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1276]) ).
thf(1302,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1276]) ).
thf(1303,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1277]) ).
thf(1315,plain,
! [SV151: $i] :
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1316,plain,
! [SV151: $i] :
( ( ( ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1323,plain,
! [SV153: $i] :
( ( ( ~ ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1324,plain,
! [SV153: $i] :
( ( ( ~ ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1291]) ).
thf(1331,plain,
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1332,plain,
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1333,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1301]) ).
thf(1334,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1335,plain,
( ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1303]) ).
thf(1345,plain,
! [SV151: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1346,plain,
! [SV151: $i] :
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1353,plain,
! [SV153: $i] :
( ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1354,plain,
! [SV153: $i] :
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
| ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1324]) ).
thf(1364,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1331]) ).
thf(1365,plain,
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $true )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1332]) ).
thf(1366,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1333]) ).
thf(1368,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1334]) ).
thf(1369,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1383,plain,
! [SV151: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1384,plain,
! [SV151: $i] :
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $true )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1346]) ).
thf(1394,plain,
! [SV153: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1353]) ).
thf(1395,plain,
! [SV153: $i] :
( ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $true )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1406,plain,
( ( ( ! [SV181: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV181 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV181 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1364]) ).
thf(1407,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1364]) ).
thf(1408,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1409,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1410,plain,
( ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1366]) ).
thf(1411,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1412,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $true )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1428,plain,
! [SV151: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $false )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1384]) ).
thf(1438,plain,
! [SV153: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $false )
| ( ( ~ ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) ) )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1452,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1406]) ).
thf(1453,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1454,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1455,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1456,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1474,plain,
! [SV151: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1488,plain,
! [SV153: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1502,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1452]) ).
thf(1504,plain,
( ( ( ! [SV191: $i] :
( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV191 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV191 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1453]) ).
thf(1505,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1453]) ).
thf(1506,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1454]) ).
thf(1507,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $true )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1508,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1557,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1558,plain,
( ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1559,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1504]) ).
thf(1560,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1611,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1612,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1613,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
| ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1559]) ).
thf(1615,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1671,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1611]) ).
thf(1672,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $true )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1612]) ).
thf(1673,plain,
( ( ( ~ ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1674,plain,
( ( ( ~ ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) ) )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1741,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $false )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1742,plain,
( ( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1673]) ).
thf(1743,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
| ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1820,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1821,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1822,plain,
( ( ( ~ ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $true )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1743]) ).
thf(1909,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $false )
| ( ( ~ ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 ) )
= $true )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(2006,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $false )
| ( $false = $true )
| ( $true = $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(3366,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $true ) ),
inference(extuni,[status(esa)],[1407]) ).
thf(3367,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $false ) ),
inference(extuni,[status(esa)],[1407]) ).
thf(3368,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $true ) ),
inference(extuni,[status(esa)],[1505]) ).
thf(3369,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $false ) ),
inference(extuni,[status(esa)],[1505]) ).
thf(3370,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true ) ),
inference(extuni,[status(esa)],[1506]) ).
thf(3371,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false ) ),
inference(extuni,[status(esa)],[1615]) ).
thf(3372,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $true ) ),
inference(extuni,[status(esa)],[1302]) ).
thf(3373,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $false ) ),
inference(extuni,[status(esa)],[1302]) ).
thf(3374,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true ) ),
inference(extuni,[status(esa)],[1411]) ).
thf(3375,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false ) ),
inference(extuni,[status(esa)],[1508]) ).
thf(3376,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $true ) ),
inference(extuni,[status(esa)],[1258]) ).
thf(3377,plain,
( ( $true = $false )
| ( $false = $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $false ) ),
inference(extuni,[status(esa)],[1258]) ).
thf(3486,plain,
! [SV151: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[1285]) ).
thf(3487,plain,
! [SV151: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[1244]) ).
thf(3586,plain,
! [SV153: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[1292]) ).
thf(3587,plain,
! [SV153: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( $false = $true )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[1250]) ).
thf(3590,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[875]) ).
thf(3591,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[876]) ).
thf(3592,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true ) ),
inference(sim,[status(thm)],[987]) ).
thf(3593,plain,
! [SV17: $i,SV83: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV83 )
= $false ) ),
inference(sim,[status(thm)],[986]) ).
thf(3594,plain,
! [SV17: $i,SV103: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[989]) ).
thf(3595,plain,
! [SV17: $i,SV103: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV103 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[988]) ).
thf(3596,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(sim,[status(thm)],[1001]) ).
thf(3597,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(sim,[status(thm)],[1003]) ).
thf(3598,plain,
! [SV17: $i,SV54: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV54 )
= $true ) ),
inference(sim,[status(thm)],[1007]) ).
thf(3599,plain,
! [SV17: $i,SV106: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV106 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[1009]) ).
thf(3600,plain,
! [SV17: $i,SV42: $i,SV108: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[1013]) ).
thf(3601,plain,
! [SV17: $i,SV42: $i,SV109: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[1015]) ).
thf(3602,plain,
! [SV17: $i,SV42: $i,SV111: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV42 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[1019]) ).
thf(3603,plain,
! [SV17: $i,SV112: $i,SV113: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV113 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false ) ),
inference(sim,[status(thm)],[1021]) ).
thf(3604,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK40_E @ SV17 ) )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK38_E @ SV17 ) )
= $false ) ),
inference(sim,[status(thm)],[1160]) ).
thf(3605,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK36_E @ SV17 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK35_E @ SV17 ) )
= $true ) ),
inference(sim,[status(thm)],[1155]) ).
thf(3606,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[892]) ).
thf(3607,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[893]) ).
thf(3608,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true ) ),
inference(sim,[status(thm)],[1027]) ).
thf(3609,plain,
! [SV17: $i,SV88: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV88 )
= $false ) ),
inference(sim,[status(thm)],[1026]) ).
thf(3610,plain,
! [SV17: $i,SV115: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1029]) ).
thf(3611,plain,
! [SV17: $i,SV115: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV115 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1028]) ).
thf(3612,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(sim,[status(thm)],[1041]) ).
thf(3613,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(sim,[status(thm)],[1043]) ).
thf(3614,plain,
! [SV17: $i,SV55: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV55 )
= $true ) ),
inference(sim,[status(thm)],[1047]) ).
thf(3615,plain,
! [SV17: $i,SV118: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV118 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1049]) ).
thf(3616,plain,
! [SV17: $i,SV43: $i,SV120: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1053]) ).
thf(3617,plain,
! [SV17: $i,SV43: $i,SV121: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1055]) ).
thf(3618,plain,
! [SV17: $i,SV43: $i,SV123: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV43 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1059]) ).
thf(3619,plain,
! [SV17: $i,SV124: $i,SV125: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV125 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true ) ),
inference(sim,[status(thm)],[1061]) ).
thf(3620,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK54_E @ SV17 ) )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK52_E @ SV17 ) )
= $false ) ),
inference(sim,[status(thm)],[1180]) ).
thf(3621,plain,
! [SV17: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV17 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK50_E @ SV17 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK49_E @ SV17 ) )
= $true ) ),
inference(sim,[status(thm)],[1175]) ).
thf(3622,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[909]) ).
thf(3623,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[910]) ).
thf(3624,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true ) ),
inference(sim,[status(thm)],[1067]) ).
thf(3625,plain,
! [SV18: $i,SV93: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV93 )
= $false ) ),
inference(sim,[status(thm)],[1066]) ).
thf(3626,plain,
! [SV18: $i,SV127: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1069]) ).
thf(3627,plain,
! [SV18: $i,SV127: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV127 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1068]) ).
thf(3628,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(sim,[status(thm)],[1081]) ).
thf(3629,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(sim,[status(thm)],[1083]) ).
thf(3630,plain,
! [SV18: $i,SV56: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV56 )
= $true ) ),
inference(sim,[status(thm)],[1087]) ).
thf(3631,plain,
! [SV18: $i,SV130: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV130 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1089]) ).
thf(3632,plain,
! [SV18: $i,SV44: $i,SV132: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1093]) ).
thf(3633,plain,
! [SV18: $i,SV44: $i,SV133: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1095]) ).
thf(3634,plain,
! [SV18: $i,SV44: $i,SV135: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV44 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1099]) ).
thf(3635,plain,
! [SV18: $i,SV136: $i,SV137: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV137 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false ) ),
inference(sim,[status(thm)],[1101]) ).
thf(3636,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK68_E @ SV18 ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK66_E @ SV18 ) )
= $false ) ),
inference(sim,[status(thm)],[1200]) ).
thf(3637,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK64_E @ SV18 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK63_E @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[1195]) ).
thf(3638,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[926]) ).
thf(3639,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[927]) ).
thf(3640,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true ) ),
inference(sim,[status(thm)],[1107]) ).
thf(3641,plain,
! [SV18: $i,SV98: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV98 )
= $false ) ),
inference(sim,[status(thm)],[1106]) ).
thf(3642,plain,
! [SV18: $i,SV139: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1109]) ).
thf(3643,plain,
! [SV18: $i,SV139: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV139 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1108]) ).
thf(3644,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(sim,[status(thm)],[1121]) ).
thf(3645,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(sim,[status(thm)],[1123]) ).
thf(3646,plain,
! [SV18: $i,SV57: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV57 )
= $true ) ),
inference(sim,[status(thm)],[1127]) ).
thf(3647,plain,
! [SV18: $i,SV142: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV142 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1129]) ).
thf(3648,plain,
! [SV18: $i,SV45: $i,SV144: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1133]) ).
thf(3649,plain,
! [SV18: $i,SV45: $i,SV145: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1135]) ).
thf(3650,plain,
! [SV18: $i,SV45: $i,SV147: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV45 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1139]) ).
thf(3651,plain,
! [SV18: $i,SV148: $i,SV149: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV149 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true ) ),
inference(sim,[status(thm)],[1141]) ).
thf(3652,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK82_E @ SV18 ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK80_E @ SV18 ) )
= $false ) ),
inference(sim,[status(thm)],[1220]) ).
thf(3653,plain,
! [SV18: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV18 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK78_E @ SV18 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK77_E @ SV18 ) )
= $true ) ),
inference(sim,[status(thm)],[1215]) ).
thf(3654,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $true ) ),
inference(sim,[status(thm)],[150]) ).
thf(3655,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK5_SV24 )
= $false ) ),
inference(sim,[status(thm)],[212]) ).
thf(3656,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $false ) ),
inference(sim,[status(thm)],[1223]) ).
thf(3657,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK83_E )
= $true ) ),
inference(sim,[status(thm)],[1222]) ).
thf(3658,plain,
! [SV20: $i,SV21: $i] :
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV20 )
= $true ) ),
inference(sim,[status(thm)],[65]) ).
thf(3659,plain,
! [SV22: $i,SV23: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV22 )
= $true ) ),
inference(sim,[status(thm)],[67]) ).
thf(3660,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(sim,[status(thm)],[1671]) ).
thf(3661,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK103_SV181 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true ) ),
inference(sim,[status(thm)],[1820]) ).
thf(3662,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $false ) ),
inference(sim,[status(thm)],[3367]) ).
thf(3663,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK221_E )
= $true ) ),
inference(sim,[status(thm)],[3366]) ).
thf(3664,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $true )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(sim,[status(thm)],[1821]) ).
thf(3665,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK109_SV191 )
= $false )
| ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false ) ),
inference(sim,[status(thm)],[2006]) ).
thf(3666,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $false ) ),
inference(sim,[status(thm)],[3369]) ).
thf(3667,plain,
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK85_SV155 )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK222_E )
= $true ) ),
inference(sim,[status(thm)],[3368]) ).
thf(3668,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $true ) ),
inference(sim,[status(thm)],[3370]) ).
thf(3669,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK94_SV170 )
= $false ) ),
inference(sim,[status(thm)],[3371]) ).
thf(3670,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $false ) ),
inference(sim,[status(thm)],[3373]) ).
thf(3671,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK223_E )
= $true ) ),
inference(sim,[status(thm)],[3372]) ).
thf(3672,plain,
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $true ) ),
inference(sim,[status(thm)],[3374]) ).
thf(3673,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK91_SV162 )
= $false ) ),
inference(sim,[status(thm)],[3375]) ).
thf(3674,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $false ) ),
inference(sim,[status(thm)],[3377]) ).
thf(3675,plain,
( ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $true )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ sK224_E )
= $true ) ),
inference(sim,[status(thm)],[3376]) ).
thf(3676,plain,
! [SV151: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(sim,[status(thm)],[1383]) ).
thf(3677,plain,
! [SV151: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK87_SV157 @ SV151 ) )
= $false )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true ) ),
inference(sim,[status(thm)],[1474]) ).
thf(3678,plain,
! [SV151: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false ) ),
inference(sim,[status(thm)],[3486]) ).
thf(3679,plain,
! [SV151: $i] :
( ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $true )
| ( ( sK2_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV151 )
= $false ) ),
inference(sim,[status(thm)],[3487]) ).
thf(3680,plain,
! [SV153: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(sim,[status(thm)],[1394]) ).
thf(3681,plain,
! [SV153: $i] :
( ( ( sK1_Xx
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ ( sK89_SV159 @ SV153 ) )
= $false )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false )
| ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true ) ),
inference(sim,[status(thm)],[1488]) ).
thf(3682,plain,
! [SV153: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false ) ),
inference(sim,[status(thm)],[3586]) ).
thf(3683,plain,
! [SV153: $i] :
( ( ( sK4_SY9
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $true )
| ( ( sK3_SY7
@ ^ [SX0: $i > $o,SX1: $i > $o] : ( SX0 = SX1 )
@ SV153 )
= $false ) ),
inference(sim,[status(thm)],[3587]) ).
thf(3684,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,3683,3682,3681,3680,3679,3678,3677,3676,3675,3674,3673,3672,3671,3670,3669,3668,3667,3666,3665,3664,3663,3662,3661,3660,3659,3658,3657,3656,3655,3654,3653,3652,3651,3650,3649,3648,3647,3646,3645,3644,3643,3642,3641,3640,3639,3638,3637,3636,3635,3634,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3623,3622,3621,3620,3619,3618,3617,3616,3615,3614,3613,3612,3611,3610,3609,3608,3607,3606,3605,3604,3603,3602,3601,3600,3599,3598,3597,3596,3595,3594,3593,3592,3591,3590,1288,1281,1272,35,33,31,29,28]) ).
thf(3685,plain,
( ( ~ $true )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(3686,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[3685]) ).
thf(3687,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3686]) ).
thf(3688,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3687,3684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV083^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 28 00:05:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34
% 0.14/0.34 No.of.Axioms: 0
% 0.14/0.34
% 0.14/0.34 Length.of.Defs: 0
% 0.14/0.34
% 0.14/0.34 Contains.Choice.Funs: false
% 0.14/0.34 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)............................................................
% 0.95/1.12
% 0.95/1.12 ********************************
% 0.95/1.12 * All subproblems solved! *
% 0.95/1.12 ********************************
% 0.95/1.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3687,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.12/1.31
% 1.12/1.31 %**** Beginning of derivation protocol ****
% 1.12/1.31 % SZS output start CNFRefutation
% See solution above
% 1.12/1.32
% 1.12/1.32 %**** End of derivation protocol ****
% 1.12/1.32 %**** no. of clauses in derivation: 610 ****
% 1.12/1.32 %**** clause counter: 3687 ****
% 1.12/1.32
% 1.12/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3687,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------