TSTP Solution File: LCL881^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : LCL881^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n015.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 : Sun Jul 17 12:27:24 EDT 2022
% Result : Theorem 1.90s 2.12s
% Output : CNFRefutation 5.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 337
% Syntax : Number of formulae : 3849 ( 879 unt; 287 typ; 31 def)
% Number of atoms : 25721 (7912 equ; 0 cnn)
% Maximal formula atoms : 99 ( 7 avg)
% Number of connectives : 45574 (7393 ~;9661 |; 24 &;28488 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4269 (4269 >; 0 *; 0 +; 0 <<)
% Number of symbols : 289 ( 286 usr; 29 con; 0-4 aty)
% Number of variables : 12873 ( 274 ^12593 !; 6 ?;12873 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mbox,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mcountersatisfiable,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(tp_mdia,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meq_ind,type,
meq_ind: mu > mu > $i > $o ).
thf(tp_meq_prop,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mequiv,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_meuclidean,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(tp_mexists_ind,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mexists_prop,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfalse,type,
mfalse: $i > $o ).
thf(tp_mforall_ind,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(tp_mforall_prop,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(tp_mfunctional,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(tp_mimplied,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mimplies,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_minvalid,type,
minvalid: ( $i > $o ) > $o ).
thf(tp_mnot,type,
mnot: ( $i > $o ) > $i > $o ).
thf(tp_mor,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_mpartially_functional,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(tp_mreflexive,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(tp_msatisfiable,type,
msatisfiable: ( $i > $o ) > $o ).
thf(tp_mserial,type,
mserial: ( $i > $i > $o ) > $o ).
thf(tp_msymmetric,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(tp_mtransitive,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(tp_mtrue,type,
mtrue: $i > $o ).
thf(tp_mvalid,type,
mvalid: ( $i > $o ) > $o ).
thf(tp_mweakly_connected,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_dense,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(tp_mweakly_directed,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(tp_mxor,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(tp_r1,type,
r1: $i > $i > $o ).
thf(tp_r2,type,
r2: $i > $i > $o ).
thf(tp_r3,type,
r3: $i > $i > $o ).
thf(tp_sK100_SY537,type,
sK100_SY537: ( $i > $o ) > $i > $i ).
thf(tp_sK101_SY539,type,
sK101_SY539: ( $i > $o ) > $i > $i ).
thf(tp_sK102_SY544,type,
sK102_SY544: ( $i > $o ) > $i > $i ).
thf(tp_sK103_SY547,type,
sK103_SY547: $i ).
thf(tp_sK104_SY506,type,
sK104_SY506: ( $i > $o ) > $i > $i ).
thf(tp_sK105_SY538,type,
sK105_SY538: ( $i > $o ) > $i > $i ).
thf(tp_sK106_SY540,type,
sK106_SY540: ( $i > $o ) > $i > $i ).
thf(tp_sK107_SY506,type,
sK107_SY506: ( $i > $o ) > $i > $i ).
thf(tp_sK108_SY538,type,
sK108_SY538: ( $i > $o ) > $i > $i ).
thf(tp_sK109_SY540,type,
sK109_SY540: ( $i > $o ) > $i > $i ).
thf(tp_sK10_SY84,type,
sK10_SY84: ( $i > $o ) > $i > $i ).
thf(tp_sK110_SY569,type,
sK110_SY569: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK111_SY570,type,
sK111_SY570: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK112_SY571,type,
sK112_SY571: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK113_SX0,type,
sK113_SX0: $i ).
thf(tp_sK114_SY686,type,
sK114_SY686: $i > $o ).
thf(tp_sK115_SY638,type,
sK115_SY638: ( $i > $o ) > $i > $i ).
thf(tp_sK116_SY641,type,
sK116_SY641: ( $i > $o ) > $i > $i ).
thf(tp_sK117_SY643,type,
sK117_SY643: ( $i > $o ) > $i > $i ).
thf(tp_sK118_SY646,type,
sK118_SY646: ( $i > $o ) > $i > $i ).
thf(tp_sK119_SY649,type,
sK119_SY649: ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY86,type,
sK11_SY86: ( $i > $o ) > $i > $i ).
thf(tp_sK120_SY651,type,
sK120_SY651: ( $i > $o ) > $i > $i ).
thf(tp_sK121_SY657,type,
sK121_SY657: ( $i > $o ) > $i > $i ).
thf(tp_sK122_SY660,type,
sK122_SY660: ( $i > $o ) > $i > $i ).
thf(tp_sK123_SY662,type,
sK123_SY662: ( $i > $o ) > $i > $i ).
thf(tp_sK124_SY665,type,
sK124_SY665: ( $i > $o ) > $i > $i ).
thf(tp_sK125_SY670,type,
sK125_SY670: ( $i > $o ) > $i > $i ).
thf(tp_sK126_SY676,type,
sK126_SY676: ( $i > $o ) > $i > $i ).
thf(tp_sK127_SY679,type,
sK127_SY679: ( $i > $o ) > $i > $i ).
thf(tp_sK128_SY682,type,
sK128_SY682: ( $i > $o ) > $i > $i ).
thf(tp_sK129_SY684,type,
sK129_SY684: ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY89,type,
sK12_SY89: ( $i > $o ) > $i > $i ).
thf(tp_sK130_SY691,type,
sK130_SY691: $i ).
thf(tp_sK131_SY690,type,
sK131_SY690: $i ).
thf(tp_sK132_SY642,type,
sK132_SY642: ( $i > $o ) > $i > $i ).
thf(tp_sK133_SY683,type,
sK133_SY683: ( $i > $o ) > $i > $i ).
thf(tp_sK134_SY685,type,
sK134_SY685: ( $i > $o ) > $i > $i ).
thf(tp_sK135_SY642,type,
sK135_SY642: ( $i > $o ) > $i > $i ).
thf(tp_sK136_SY683,type,
sK136_SY683: ( $i > $o ) > $i > $i ).
thf(tp_sK137_SY685,type,
sK137_SY685: ( $i > $o ) > $i > $i ).
thf(tp_sK138_SY712,type,
sK138_SY712: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK139_SY713,type,
sK139_SY713: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY92,type,
sK13_SY92: ( $i > $o ) > $i > $i ).
thf(tp_sK140_SY714,type,
sK140_SY714: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK141_SX0,type,
sK141_SX0: $i ).
thf(tp_sK142_SY826,type,
sK142_SY826: $i > $o ).
thf(tp_sK143_SY781,type,
sK143_SY781: ( $i > $o ) > $i > $i ).
thf(tp_sK144_SY784,type,
sK144_SY784: ( $i > $o ) > $i > $i ).
thf(tp_sK145_SY787,type,
sK145_SY787: ( $i > $o ) > $i > $i ).
thf(tp_sK146_SY790,type,
sK146_SY790: ( $i > $o ) > $i > $i ).
thf(tp_sK147_SY793,type,
sK147_SY793: ( $i > $o ) > $i > $i ).
thf(tp_sK148_SY795,type,
sK148_SY795: ( $i > $o ) > $i > $i ).
thf(tp_sK149_SY801,type,
sK149_SY801: ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY98,type,
sK14_SY98: ( $i > $o ) > $i > $i ).
thf(tp_sK150_SY804,type,
sK150_SY804: ( $i > $o ) > $i > $i ).
thf(tp_sK151_SY806,type,
sK151_SY806: ( $i > $o ) > $i > $i ).
thf(tp_sK152_SY809,type,
sK152_SY809: ( $i > $o ) > $i > $i ).
thf(tp_sK153_SY811,type,
sK153_SY811: ( $i > $o ) > $i > $i ).
thf(tp_sK154_SY816,type,
sK154_SY816: ( $i > $o ) > $i > $i ).
thf(tp_sK155_SY821,type,
sK155_SY821: ( $i > $o ) > $i > $i ).
thf(tp_sK156_SY824,type,
sK156_SY824: ( $i > $o ) > $i > $i ).
thf(tp_sK157_SY834,type,
sK157_SY834: $i ).
thf(tp_sK158_SY830,type,
sK158_SY830: ( $i > $o ) > $i > $i ).
thf(tp_sK159_SY833,type,
sK159_SY833: $i ).
thf(tp_sK15_SY107,type,
sK15_SY107: ( $i > $o ) > $i > $i ).
thf(tp_sK160_SY810,type,
sK160_SY810: ( $i > $o ) > $i > $i ).
thf(tp_sK161_SY817,type,
sK161_SY817: ( $i > $o ) > $i > $i ).
thf(tp_sK162_SY825,type,
sK162_SY825: ( $i > $o ) > $i > $i ).
thf(tp_sK163_SY810,type,
sK163_SY810: ( $i > $o ) > $i > $i ).
thf(tp_sK164_SY817,type,
sK164_SY817: ( $i > $o ) > $i > $i ).
thf(tp_sK165_SY825,type,
sK165_SY825: ( $i > $o ) > $i > $i ).
thf(tp_sK166_SY855,type,
sK166_SY855: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK167_SY856,type,
sK167_SY856: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK168_SY857,type,
sK168_SY857: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK169_SX0,type,
sK169_SX0: $i ).
thf(tp_sK16_SY110,type,
sK16_SY110: ( $i > $o ) > $i > $i ).
thf(tp_sK170_SY929,type,
sK170_SY929: $i > $o ).
thf(tp_sK171_SY924,type,
sK171_SY924: ( $i > $o ) > $i > $i ).
thf(tp_sK172_SY927,type,
sK172_SY927: ( $i > $o ) > $i > $i ).
thf(tp_sK173_SY977,type,
sK173_SY977: $i ).
thf(tp_sK174_SY936,type,
sK174_SY936: ( $i > $o ) > $i > $i ).
thf(tp_sK175_SY939,type,
sK175_SY939: ( $i > $o ) > $i > $i ).
thf(tp_sK176_SY944,type,
sK176_SY944: ( $i > $o ) > $i > $i ).
thf(tp_sK177_SY947,type,
sK177_SY947: ( $i > $o ) > $i > $i ).
thf(tp_sK178_SY949,type,
sK178_SY949: ( $i > $o ) > $i > $i ).
thf(tp_sK179_SY952,type,
sK179_SY952: ( $i > $o ) > $i > $i ).
thf(tp_sK17_SY113,type,
sK17_SY113: ( $i > $o ) > $i > $i ).
thf(tp_sK180_SY955,type,
sK180_SY955: ( $i > $o ) > $i > $i ).
thf(tp_sK181_SY957,type,
sK181_SY957: ( $i > $o ) > $i > $i ).
thf(tp_sK182_SY960,type,
sK182_SY960: ( $i > $o ) > $i > $i ).
thf(tp_sK183_SY963,type,
sK183_SY963: ( $i > $o ) > $i > $i ).
thf(tp_sK184_SY966,type,
sK184_SY966: ( $i > $o ) > $i > $i ).
thf(tp_sK185_SY969,type,
sK185_SY969: ( $i > $o ) > $i > $i ).
thf(tp_sK186_SY974,type,
sK186_SY974: ( $i > $o ) > $i > $i ).
thf(tp_sK187_SY976,type,
sK187_SY976: $i ).
thf(tp_sK188_SY928,type,
sK188_SY928: ( $i > $o ) > $i > $i ).
thf(tp_sK189_SY940,type,
sK189_SY940: ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY115,type,
sK18_SY115: ( $i > $o ) > $i > $i ).
thf(tp_sK190_SY956,type,
sK190_SY956: ( $i > $o ) > $i > $i ).
thf(tp_sK191_SY928,type,
sK191_SY928: ( $i > $o ) > $i > $i ).
thf(tp_sK192_SY940,type,
sK192_SY940: ( $i > $o ) > $i > $i ).
thf(tp_sK193_SY956,type,
sK193_SY956: ( $i > $o ) > $i > $i ).
thf(tp_sK194_SY998,type,
sK194_SY998: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK195_SY999,type,
sK195_SY999: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK196_SY1000,type,
sK196_SY1000: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK197_SX0,type,
sK197_SX0: $i ).
thf(tp_sK198_SY1072,type,
sK198_SY1072: $i > $o ).
thf(tp_sK199_SY1067,type,
sK199_SY1067: ( $i > $o ) > $i > $i ).
thf(tp_sK19_SY118,type,
sK19_SY118: $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK200_SY1070,type,
sK200_SY1070: ( $i > $o ) > $i > $i ).
thf(tp_sK201_SY1120,type,
sK201_SY1120: $i ).
thf(tp_sK202_SY1079,type,
sK202_SY1079: ( $i > $o ) > $i > $i ).
thf(tp_sK203_SY1082,type,
sK203_SY1082: ( $i > $o ) > $i > $i ).
thf(tp_sK204_SY1085,type,
sK204_SY1085: ( $i > $o ) > $i > $i ).
thf(tp_sK205_SY1088,type,
sK205_SY1088: ( $i > $o ) > $i > $i ).
thf(tp_sK206_SY1090,type,
sK206_SY1090: ( $i > $o ) > $i > $i ).
thf(tp_sK207_SY1092,type,
sK207_SY1092: ( $i > $o ) > $i > $i ).
thf(tp_sK208_SY1094,type,
sK208_SY1094: ( $i > $o ) > $i > $i ).
thf(tp_sK209_SY1100,type,
sK209_SY1100: ( $i > $o ) > $i > $i ).
thf(tp_sK20_SY72,type,
sK20_SY72: ( $i > $o ) > $i > $i ).
thf(tp_sK210_SY1103,type,
sK210_SY1103: ( $i > $o ) > $i > $i ).
thf(tp_sK211_SY1106,type,
sK211_SY1106: ( $i > $o ) > $i > $i ).
thf(tp_sK212_SY1108,type,
sK212_SY1108: ( $i > $o ) > $i > $i ).
thf(tp_sK213_SY1110,type,
sK213_SY1110: ( $i > $o ) > $i > $i ).
thf(tp_sK214_SY1113,type,
sK214_SY1113: ( $i > $o ) > $i > $i ).
thf(tp_sK215_SY1119,type,
sK215_SY1119: $i ).
thf(tp_sK216_SY1071,type,
sK216_SY1071: ( $i > $o ) > $i > $i ).
thf(tp_sK217_SY1089,type,
sK217_SY1089: ( $i > $o ) > $i > $i ).
thf(tp_sK218_SY1091,type,
sK218_SY1091: ( $i > $o ) > $i > $i ).
thf(tp_sK219_SY1071,type,
sK219_SY1071: ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY79,type,
sK21_SY79: ( $i > $o ) > $i > $i ).
thf(tp_sK220_SY1089,type,
sK220_SY1089: ( $i > $o ) > $i > $i ).
thf(tp_sK221_SY1091,type,
sK221_SY1091: ( $i > $o ) > $i > $i ).
thf(tp_sK222_SY1141,type,
sK222_SY1141: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK223_SY1142,type,
sK223_SY1142: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK224_SY1143,type,
sK224_SY1143: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK225_SX0,type,
sK225_SX0: $i ).
thf(tp_sK226_SY1237,type,
sK226_SY1237: $i > $o ).
thf(tp_sK227_SY1210,type,
sK227_SY1210: ( $i > $o ) > $i > $i ).
thf(tp_sK228_SY1213,type,
sK228_SY1213: ( $i > $o ) > $i > $i ).
thf(tp_sK229_SY1219,type,
sK229_SY1219: ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY114,type,
sK22_SY114: ( $i > $o ) > $i > $i ).
thf(tp_sK230_SY1222,type,
sK230_SY1222: ( $i > $o ) > $i > $i ).
thf(tp_sK231_SY1225,type,
sK231_SY1225: ( $i > $o ) > $i > $i ).
thf(tp_sK232_SY1227,type,
sK232_SY1227: ( $i > $o ) > $i > $i ).
thf(tp_sK233_SY1230,type,
sK233_SY1230: ( $i > $o ) > $i > $i ).
thf(tp_sK234_SY1233,type,
sK234_SY1233: ( $i > $o ) > $i > $i ).
thf(tp_sK235_SY1235,type,
sK235_SY1235: ( $i > $o ) > $i > $i ).
thf(tp_sK236_SY1263,type,
sK236_SY1263: $i ).
thf(tp_sK237_SY1244,type,
sK237_SY1244: ( $i > $o ) > $i > $i ).
thf(tp_sK238_SY1246,type,
sK238_SY1246: ( $i > $o ) > $i > $i ).
thf(tp_sK239_SY1251,type,
sK239_SY1251: ( $i > $o ) > $i > $i ).
thf(tp_sK23_SY72,type,
sK23_SY72: ( $i > $o ) > $i > $i ).
thf(tp_sK240_SY1254,type,
sK240_SY1254: ( $i > $o ) > $i > $i ).
thf(tp_sK241_SY1256,type,
sK241_SY1256: ( $i > $o ) > $i > $i ).
thf(tp_sK242_SY1259,type,
sK242_SY1259: ( $i > $o ) > $i > $i ).
thf(tp_sK243_SY1262,type,
sK243_SY1262: $i ).
thf(tp_sK244_SY1226,type,
sK244_SY1226: ( $i > $o ) > $i > $i ).
thf(tp_sK245_SY1245,type,
sK245_SY1245: ( $i > $o ) > $i > $i ).
thf(tp_sK246_SY1255,type,
sK246_SY1255: ( $i > $o ) > $i > $i ).
thf(tp_sK247_SY1226,type,
sK247_SY1226: ( $i > $o ) > $i > $i ).
thf(tp_sK248_SY1245,type,
sK248_SY1245: ( $i > $o ) > $i > $i ).
thf(tp_sK249_SY1255,type,
sK249_SY1255: ( $i > $o ) > $i > $i ).
thf(tp_sK24_SY79,type,
sK24_SY79: ( $i > $o ) > $i > $i ).
thf(tp_sK250_SY1284,type,
sK250_SY1284: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK251_SY1285,type,
sK251_SY1285: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK252_SY1286,type,
sK252_SY1286: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK25_SY114,type,
sK25_SY114: ( $i > $o ) > $i > $i ).
thf(tp_sK26_SY140,type,
sK26_SY140: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK27_SY141,type,
sK27_SY141: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK28_SY142,type,
sK28_SY142: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK29_SX0,type,
sK29_SX0: $i ).
thf(tp_sK2_SY80,type,
sK2_SY80: $i > $o ).
thf(tp_sK30_SY215,type,
sK30_SY215: $i > $o ).
thf(tp_sK31_SY212,type,
sK31_SY212: ( $i > $o ) > $i > $i ).
thf(tp_sK32_SY262,type,
sK32_SY262: $i ).
thf(tp_sK33_SY222,type,
sK33_SY222: ( $i > $o ) > $i > $i ).
thf(tp_sK34_SY225,type,
sK34_SY225: ( $i > $o ) > $i > $i ).
thf(tp_sK35_SY228,type,
sK35_SY228: ( $i > $o ) > $i > $i ).
thf(tp_sK36_SY231,type,
sK36_SY231: ( $i > $o ) > $i > $i ).
thf(tp_sK37_SY233,type,
sK37_SY233: ( $i > $o ) > $i > $i ).
thf(tp_sK38_SY238,type,
sK38_SY238: ( $i > $o ) > $i > $i ).
thf(tp_sK39_SY241,type,
sK39_SY241: ( $i > $o ) > $i > $i ).
thf(tp_sK3_SY66,type,
sK3_SY66: ( $i > $o ) > $i > $i ).
thf(tp_sK40_SY243,type,
sK40_SY243: ( $i > $o ) > $i > $i ).
thf(tp_sK41_SY246,type,
sK41_SY246: ( $i > $o ) > $i > $i ).
thf(tp_sK42_SY248,type,
sK42_SY248: ( $i > $o ) > $i > $i ).
thf(tp_sK43_SY251,type,
sK43_SY251: ( $i > $o ) > $i > $i ).
thf(tp_sK44_SY254,type,
sK44_SY254: ( $i > $o ) > $i > $i ).
thf(tp_sK45_SY256,type,
sK45_SY256: ( $i > $o ) > $i > $i ).
thf(tp_sK46_SY259,type,
sK46_SY259: ( $i > $o ) > $i > $i ).
thf(tp_sK47_SY261,type,
sK47_SY261: $i ).
thf(tp_sK48_SY234,type,
sK48_SY234: ( $i > $o ) > $i > $i ).
thf(tp_sK49_SY255,type,
sK49_SY255: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY68,type,
sK4_SY68: ( $i > $o ) > $i > $i ).
thf(tp_sK50_SY260,type,
sK50_SY260: ( $i > $o ) > $i > $i ).
thf(tp_sK51_SY234,type,
sK51_SY234: ( $i > $o ) > $i > $i ).
thf(tp_sK52_SY255,type,
sK52_SY255: ( $i > $o ) > $i > $i ).
thf(tp_sK53_SY260,type,
sK53_SY260: ( $i > $o ) > $i > $i ).
thf(tp_sK54_SY283,type,
sK54_SY283: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK55_SY284,type,
sK55_SY284: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK56_SY285,type,
sK56_SY285: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK57_SX0,type,
sK57_SX0: $i ).
thf(tp_sK58_SY370,type,
sK58_SY370: $i > $o ).
thf(tp_sK59_SY352,type,
sK59_SY352: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY71,type,
sK5_SY71: ( $i > $o ) > $i > $i ).
thf(tp_sK60_SY355,type,
sK60_SY355: ( $i > $o ) > $i > $i ).
thf(tp_sK61_SY358,type,
sK61_SY358: ( $i > $o ) > $i > $i ).
thf(tp_sK62_SY360,type,
sK62_SY360: ( $i > $o ) > $i > $i ).
thf(tp_sK63_SY365,type,
sK63_SY365: ( $i > $o ) > $i > $i ).
thf(tp_sK64_SY405,type,
sK64_SY405: $i ).
thf(tp_sK65_SY374,type,
sK65_SY374: ( $i > $o ) > $i > $i ).
thf(tp_sK66_SY376,type,
sK66_SY376: ( $i > $o ) > $i > $i ).
thf(tp_sK67_SY378,type,
sK67_SY378: ( $i > $o ) > $i > $i ).
thf(tp_sK68_SY381,type,
sK68_SY381: ( $i > $o ) > $i > $i ).
thf(tp_sK69_SY386,type,
sK69_SY386: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY73,type,
sK6_SY73: ( $i > $o ) > $i > $i ).
thf(tp_sK70_SY389,type,
sK70_SY389: ( $i > $o ) > $i > $i ).
thf(tp_sK71_SY392,type,
sK71_SY392: ( $i > $o ) > $i > $i ).
thf(tp_sK72_SY395,type,
sK72_SY395: ( $i > $o ) > $i > $i ).
thf(tp_sK73_SY398,type,
sK73_SY398: ( $i > $o ) > $i > $i ).
thf(tp_sK74_SY401,type,
sK74_SY401: ( $i > $o ) > $i > $i ).
thf(tp_sK75_SY404,type,
sK75_SY404: $i ).
thf(tp_sK76_SY361,type,
sK76_SY361: ( $i > $o ) > $i > $i ).
thf(tp_sK77_SY375,type,
sK77_SY375: ( $i > $o ) > $i > $i ).
thf(tp_sK78_SY382,type,
sK78_SY382: ( $i > $o ) > $i > $i ).
thf(tp_sK79_SY361,type,
sK79_SY361: ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY76,type,
sK7_SY76: ( $i > $o ) > $i > $i ).
thf(tp_sK80_SY375,type,
sK80_SY375: ( $i > $o ) > $i > $i ).
thf(tp_sK81_SY382,type,
sK81_SY382: ( $i > $o ) > $i > $i ).
thf(tp_sK82_SY426,type,
sK82_SY426: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK83_SY427,type,
sK83_SY427: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK84_SY428,type,
sK84_SY428: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK85_SX0,type,
sK85_SX0: $i ).
thf(tp_sK86_SY498,type,
sK86_SY498: $i > $o ).
thf(tp_sK87_SY495,type,
sK87_SY495: ( $i > $o ) > $i > $i ).
thf(tp_sK88_SY548,type,
sK88_SY548: $i ).
thf(tp_sK89_SY502,type,
sK89_SY502: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY78,type,
sK8_SY78: ( $i > $o ) > $i > $i ).
thf(tp_sK90_SY505,type,
sK90_SY505: ( $i > $o ) > $i > $i ).
thf(tp_sK91_SY510,type,
sK91_SY510: ( $i > $o ) > $i > $i ).
thf(tp_sK92_SY512,type,
sK92_SY512: ( $i > $o ) > $i > $i ).
thf(tp_sK93_SY515,type,
sK93_SY515: ( $i > $o ) > $i > $i ).
thf(tp_sK94_SY518,type,
sK94_SY518: ( $i > $o ) > $i > $i ).
thf(tp_sK95_SY523,type,
sK95_SY523: ( $i > $o ) > $i > $i ).
thf(tp_sK96_SY526,type,
sK96_SY526: ( $i > $o ) > $i > $i ).
thf(tp_sK97_SY529,type,
sK97_SY529: ( $i > $o ) > $i > $i ).
thf(tp_sK98_SY531,type,
sK98_SY531: ( $i > $o ) > $i > $i ).
thf(tp_sK99_SY534,type,
sK99_SY534: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY119,type,
sK9_SY119: $i ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r3) ).
thf(2,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r2) ).
thf(3,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r1) ).
thf(4,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r3) ).
thf(5,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r2) ).
thf(6,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r1) ).
thf(7,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r3) ).
thf(8,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r2) ).
thf(9,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r1) ).
thf(10,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r3) ).
thf(11,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r2) ).
thf(12,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r1) ).
thf(13,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r2) ).
thf(14,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r1) ).
thf(15,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r2_r1) ).
thf(16,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r3) ).
thf(17,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r2) ).
thf(18,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r1) ).
thf(19,conjecture,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(20,negated_conjecture,
( ( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
& ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(22,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(23,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(24,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(25,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(26,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(27,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(28,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(29,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[20]) ).
thf(30,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(31,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(32,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(33,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[24]) ).
thf(34,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[25]) ).
thf(35,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(36,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(37,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(38,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(39,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(40,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(41,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(42,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(43,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(44,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(45,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(46,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(47,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(48,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(49,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(50,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(51,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(52,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(53,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(54,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(55,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(56,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(57,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(58,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(59,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(60,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(61,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(62,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(63,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(64,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(65,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(66,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(67,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(68,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(69,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(70,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(71,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(72,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(74,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(75,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(76,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(77,plain,
! [SV1: $i] :
( ( ! [SY0: $i > $o] :
( ~ ! [SY1: $i] :
( ~ ( r3 @ SV1 @ SY1 )
| ( SY0 @ SY1 ) )
| ! [SY2: $i] :
( ~ ( r1 @ SV1 @ SY2 )
| ( SY0 @ SY2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(78,plain,
! [SV2: $i] :
( ( ! [SY3: $i > $o] :
( ~ ! [SY4: $i] :
( ~ ( r3 @ SV2 @ SY4 )
| ( SY3 @ SY4 ) )
| ! [SY5: $i] :
( ~ ( r1 @ SV2 @ SY5 )
| ! [SX3: $i] :
( ~ ( r3 @ SY5 @ SX3 )
| ( SY3 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(79,plain,
! [SV3: $i] :
( ( ! [SY7: $i > $o] :
( ~ ! [SY8: $i] :
( ~ ( r1 @ SV3 @ SY8 )
| ( SY7 @ SY8 ) )
| ~ ! [SY9: $i] :
( ~ ( r1 @ SV3 @ SY9 )
| ~ ( SY7 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(80,plain,
! [SV4: $i] :
( ( ! [SY10: $i > $o] :
( ~ ! [SY11: $i] :
( ~ ( r1 @ SV4 @ SY11 )
| ( SY10 @ SY11 ) )
| ! [SY12: $i] :
( ~ ( r2 @ SV4 @ SY12 )
| ! [SX3: $i] :
( ~ ( r1 @ SY12 @ SX3 )
| ( SY10 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(81,plain,
! [SV5: $i] :
( ( ! [SY14: $i > $o] :
( ~ ! [SY15: $i] :
( ~ ( r2 @ SV5 @ SY15 )
| ( SY14 @ SY15 ) )
| ! [SY16: $i] :
( ~ ( r1 @ SV5 @ SY16 )
| ( SY14 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(82,plain,
! [SV6: $i] :
( ( ! [SY17: $i > $o] :
( ~ ! [SY18: $i] :
( ~ ( r3 @ SV6 @ SY18 )
| ( SY17 @ SY18 ) )
| ~ ! [SY19: $i] :
( ~ ( r3 @ SV6 @ SY19 )
| ~ ( SY17 @ SY19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(83,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(84,plain,
! [SV7: $i] :
( ( ! [SY20: $i > $o] :
( ~ ! [SY21: $i] :
( ~ ( r3 @ SV7 @ SY21 )
| ( SY20 @ SY21 ) )
| ! [SY22: $i] :
( ~ ( r2 @ SV7 @ SY22 )
| ( SY20 @ SY22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(85,plain,
! [SV8: $i] :
( ( ! [SY23: $i > $o] :
( ~ ! [SY24: $i] :
( ~ ( r1 @ SV8 @ SY24 )
| ( SY23 @ SY24 ) )
| ! [SY25: $i] :
( ~ ( r3 @ SV8 @ SY25 )
| ! [SX3: $i] :
( ~ ( r1 @ SY25 @ SX3 )
| ( SY23 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(86,plain,
! [SV9: $i] :
( ( ! [SY27: $i > $o] :
( ~ ! [SY28: $i] :
( ~ ( r3 @ SV9 @ SY28 )
| ( SY27 @ SY28 ) )
| ! [SY29: $i] :
( ~ ( r3 @ SV9 @ SY29 )
| ! [SX3: $i] :
( ~ ( r3 @ SY29 @ SX3 )
| ( SY27 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(87,plain,
! [SV10: $i] :
( ( ! [SY31: $i > $o] :
( ~ ! [SY32: $i] :
( ~ ( r1 @ SV10 @ SY32 )
| ( SY31 @ SY32 ) )
| ! [SY33: $i] :
( ~ ( r1 @ SV10 @ SY33 )
| ! [SX3: $i] :
( ~ ( r1 @ SY33 @ SX3 )
| ( SY31 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(88,plain,
! [SV11: $i] :
( ( ! [SY35: $i > $o] :
( ~ ~ ! [SY36: $i] :
( ~ ( r1 @ SV11 @ SY36 )
| ( SY35 @ SY36 ) )
| ! [SY37: $i] :
( ~ ( r1 @ SV11 @ SY37 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY37 @ SX3 )
| ( SY35 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(89,plain,
! [SV12: $i] :
( ( ! [SY39: $i > $o] :
( ~ ! [SY40: $i] :
( ~ ( r2 @ SV12 @ SY40 )
| ( SY39 @ SY40 ) )
| ! [SY41: $i] :
( ~ ( r1 @ SV12 @ SY41 )
| ! [SX3: $i] :
( ~ ( r2 @ SY41 @ SX3 )
| ( SY39 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(90,plain,
! [SV13: $i] :
( ( ! [SY43: $i > $o] :
( ~ ~ ! [SY44: $i] :
( ~ ( r3 @ SV13 @ SY44 )
| ( SY43 @ SY44 ) )
| ! [SY45: $i] :
( ~ ( r3 @ SV13 @ SY45 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY45 @ SX3 )
| ( SY43 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(91,plain,
! [SV14: $i] :
( ( ! [SY47: $i > $o] :
( ~ ~ ! [SY48: $i] :
( ~ ( r2 @ SV14 @ SY48 )
| ( SY47 @ SY48 ) )
| ! [SY49: $i] :
( ~ ( r2 @ SV14 @ SY49 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY49 @ SX3 )
| ( SY47 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(92,plain,
! [SV15: $i] :
( ( ! [SY51: $i > $o] :
( ~ ! [SY52: $i] :
( ~ ( r3 @ SV15 @ SY52 )
| ( SY51 @ SY52 ) )
| ! [SY53: $i] :
( ~ ( r2 @ SV15 @ SY53 )
| ! [SX3: $i] :
( ~ ( r3 @ SY53 @ SX3 )
| ( SY51 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(93,plain,
! [SV16: $i] :
( ( ! [SY55: $i > $o] :
( ~ ! [SY56: $i] :
( ~ ( r2 @ SV16 @ SY56 )
| ( SY55 @ SY56 ) )
| ! [SY57: $i] :
( ~ ( r2 @ SV16 @ SY57 )
| ! [SX3: $i] :
( ~ ( r2 @ SY57 @ SX3 )
| ( SY55 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(94,plain,
! [SV17: $i] :
( ( ! [SY59: $i > $o] :
( ~ ! [SY60: $i] :
( ~ ( r2 @ SV17 @ SY60 )
| ( SY59 @ SY60 ) )
| ~ ! [SY61: $i] :
( ~ ( r2 @ SV17 @ SY61 )
| ~ ( SY59 @ SY61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(95,plain,
! [SV18: $i] :
( ( ! [SY62: $i > $o] :
( ~ ! [SY63: $i] :
( ~ ( r2 @ SV18 @ SY63 )
| ( SY62 @ SY63 ) )
| ! [SY64: $i] :
( ~ ( r3 @ SV18 @ SY64 )
| ! [SX3: $i] :
( ~ ( r2 @ SY64 @ SX3 )
| ( SY62 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(96,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ~ ! [SY66: $i] :
( ~ ( r3 @ SV1 @ SY66 )
| ( SV19 @ SY66 ) )
| ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(97,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ~ ! [SY68: $i] :
( ~ ( r3 @ SV2 @ SY68 )
| ( SV20 @ SY68 ) )
| ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(98,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ~ ! [SY71: $i] :
( ~ ( r1 @ SV3 @ SY71 )
| ( SV21 @ SY71 ) )
| ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(99,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ~ ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ( SV22 @ SY73 ) )
| ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(100,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ~ ! [SY76: $i] :
( ~ ( r2 @ SV5 @ SY76 )
| ( SV23 @ SY76 ) )
| ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(101,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ~ ! [SY78: $i] :
( ~ ( r3 @ SV6 @ SY78 )
| ( SV24 @ SY78 ) )
| ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(102,plain,
( ( ! [SY80: $i > $o] :
( ~ ~ ! [SY81: $i] :
( ~ ( r1 @ sK1_SX0 @ SY81 )
| ( SY80 @ SY81 ) )
| ! [SY82: $i] :
( ~ ( r1 @ sK1_SX0 @ SY82 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY82 @ SX3 )
| ( SY80 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[83]) ).
thf(103,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ~ ! [SY84: $i] :
( ~ ( r3 @ SV7 @ SY84 )
| ( SV25 @ SY84 ) )
| ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(104,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV8 @ SY86 )
| ( SV26 @ SY86 ) )
| ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(105,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ~ ! [SY89: $i] :
( ~ ( r3 @ SV9 @ SY89 )
| ( SV27 @ SY89 ) )
| ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(106,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ~ ! [SY92: $i] :
( ~ ( r1 @ SV10 @ SY92 )
| ( SV28 @ SY92 ) )
| ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(107,plain,
! [SV29: $i > $o,SV11: $i] :
( ( ~ ~ ! [SY95: $i] :
( ~ ( r1 @ SV11 @ SY95 )
| ( SV29 @ SY95 ) )
| ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(108,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ~ ! [SY98: $i] :
( ~ ( r2 @ SV12 @ SY98 )
| ( SV30 @ SY98 ) )
| ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(109,plain,
! [SV31: $i > $o,SV13: $i] :
( ( ~ ~ ! [SY101: $i] :
( ~ ( r3 @ SV13 @ SY101 )
| ( SV31 @ SY101 ) )
| ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(110,plain,
! [SV32: $i > $o,SV14: $i] :
( ( ~ ~ ! [SY104: $i] :
( ~ ( r2 @ SV14 @ SY104 )
| ( SV32 @ SY104 ) )
| ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(111,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV15 @ SY107 )
| ( SV33 @ SY107 ) )
| ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(112,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ~ ! [SY110: $i] :
( ~ ( r2 @ SV16 @ SY110 )
| ( SV34 @ SY110 ) )
| ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(113,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ~ ! [SY113: $i] :
( ~ ( r2 @ SV17 @ SY113 )
| ( SV35 @ SY113 ) )
| ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(114,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ~ ! [SY115: $i] :
( ~ ( r2 @ SV18 @ SY115 )
| ( SV36 @ SY115 ) )
| ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(115,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ( ~ ! [SY66: $i] :
( ~ ( r3 @ SV1 @ SY66 )
| ( SV19 @ SY66 ) ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(116,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ( ~ ! [SY68: $i] :
( ~ ( r3 @ SV2 @ SY68 )
| ( SV20 @ SY68 ) ) )
= $true )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(117,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ! [SY71: $i] :
( ~ ( r1 @ SV3 @ SY71 )
| ( SV21 @ SY71 ) ) )
= $true )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(118,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ( ~ ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ( SV22 @ SY73 ) ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(119,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ( ~ ! [SY76: $i] :
( ~ ( r2 @ SV5 @ SY76 )
| ( SV23 @ SY76 ) ) )
= $true )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(120,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ! [SY78: $i] :
( ~ ( r3 @ SV6 @ SY78 )
| ( SV24 @ SY78 ) ) )
= $true )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(121,plain,
( ( ~ ~ ! [SY118: $i] :
( ~ ( r1 @ sK1_SX0 @ SY118 )
| ( sK2_SY80 @ SY118 ) )
| ! [SY119: $i] :
( ~ ( r1 @ sK1_SX0 @ SY119 )
| ~ ! [SY120: $i] :
( ~ ( r1 @ SY119 @ SY120 )
| ( sK2_SY80 @ SY120 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[102]) ).
thf(122,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ( ~ ! [SY84: $i] :
( ~ ( r3 @ SV7 @ SY84 )
| ( SV25 @ SY84 ) ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(123,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ( ~ ! [SY86: $i] :
( ~ ( r1 @ SV8 @ SY86 )
| ( SV26 @ SY86 ) ) )
= $true )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(124,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ( ~ ! [SY89: $i] :
( ~ ( r3 @ SV9 @ SY89 )
| ( SV27 @ SY89 ) ) )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(125,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ( ~ ! [SY92: $i] :
( ~ ( r1 @ SV10 @ SY92 )
| ( SV28 @ SY92 ) ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(126,plain,
! [SV29: $i > $o,SV11: $i] :
( ( ( ~ ~ ! [SY95: $i] :
( ~ ( r1 @ SV11 @ SY95 )
| ( SV29 @ SY95 ) ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(127,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ( ~ ! [SY98: $i] :
( ~ ( r2 @ SV12 @ SY98 )
| ( SV30 @ SY98 ) ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(128,plain,
! [SV31: $i > $o,SV13: $i] :
( ( ( ~ ~ ! [SY101: $i] :
( ~ ( r3 @ SV13 @ SY101 )
| ( SV31 @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(129,plain,
! [SV32: $i > $o,SV14: $i] :
( ( ( ~ ~ ! [SY104: $i] :
( ~ ( r2 @ SV14 @ SY104 )
| ( SV32 @ SY104 ) ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(130,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ( ~ ! [SY107: $i] :
( ~ ( r3 @ SV15 @ SY107 )
| ( SV33 @ SY107 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(131,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ( ~ ! [SY110: $i] :
( ~ ( r2 @ SV16 @ SY110 )
| ( SV34 @ SY110 ) ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(132,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ! [SY113: $i] :
( ~ ( r2 @ SV17 @ SY113 )
| ( SV35 @ SY113 ) ) )
= $true )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(133,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ( ~ ! [SY115: $i] :
( ~ ( r2 @ SV18 @ SY115 )
| ( SV36 @ SY115 ) ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(134,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ( ! [SY66: $i] :
( ~ ( r3 @ SV1 @ SY66 )
| ( SV19 @ SY66 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(135,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ( ! [SY68: $i] :
( ~ ( r3 @ SV2 @ SY68 )
| ( SV20 @ SY68 ) ) )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(136,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ! [SY71: $i] :
( ~ ( r1 @ SV3 @ SY71 )
| ( SV21 @ SY71 ) ) )
= $false )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(137,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ( ! [SY73: $i] :
( ~ ( r1 @ SV4 @ SY73 )
| ( SV22 @ SY73 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(138,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ( ! [SY76: $i] :
( ~ ( r2 @ SV5 @ SY76 )
| ( SV23 @ SY76 ) ) )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(139,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ! [SY78: $i] :
( ~ ( r3 @ SV6 @ SY78 )
| ( SV24 @ SY78 ) ) )
= $false )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(140,plain,
( ( ~ ~ ! [SY118: $i] :
( ~ ( r1 @ sK1_SX0 @ SY118 )
| ( sK2_SY80 @ SY118 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(141,plain,
( ( ! [SY119: $i] :
( ~ ( r1 @ sK1_SX0 @ SY119 )
| ~ ! [SY120: $i] :
( ~ ( r1 @ SY119 @ SY120 )
| ( sK2_SY80 @ SY120 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[121]) ).
thf(142,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ( ! [SY84: $i] :
( ~ ( r3 @ SV7 @ SY84 )
| ( SV25 @ SY84 ) ) )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(143,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ( ! [SY86: $i] :
( ~ ( r1 @ SV8 @ SY86 )
| ( SV26 @ SY86 ) ) )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(144,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ( ! [SY89: $i] :
( ~ ( r3 @ SV9 @ SY89 )
| ( SV27 @ SY89 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(145,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ( ! [SY92: $i] :
( ~ ( r1 @ SV10 @ SY92 )
| ( SV28 @ SY92 ) ) )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(146,plain,
! [SV29: $i > $o,SV11: $i] :
( ( ( ~ ! [SY95: $i] :
( ~ ( r1 @ SV11 @ SY95 )
| ( SV29 @ SY95 ) ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(147,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ( ! [SY98: $i] :
( ~ ( r2 @ SV12 @ SY98 )
| ( SV30 @ SY98 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(148,plain,
! [SV31: $i > $o,SV13: $i] :
( ( ( ~ ! [SY101: $i] :
( ~ ( r3 @ SV13 @ SY101 )
| ( SV31 @ SY101 ) ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(149,plain,
! [SV32: $i > $o,SV14: $i] :
( ( ( ~ ! [SY104: $i] :
( ~ ( r2 @ SV14 @ SY104 )
| ( SV32 @ SY104 ) ) )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(150,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ( ! [SY107: $i] :
( ~ ( r3 @ SV15 @ SY107 )
| ( SV33 @ SY107 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(151,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ( ! [SY110: $i] :
( ~ ( r2 @ SV16 @ SY110 )
| ( SV34 @ SY110 ) ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(152,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ! [SY113: $i] :
( ~ ( r2 @ SV17 @ SY113 )
| ( SV35 @ SY113 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(153,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ( ! [SY115: $i] :
( ~ ( r2 @ SV18 @ SY115 )
| ( SV36 @ SY115 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(154,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) )
| ( SV19 @ ( sK3_SY66 @ SV19 @ SV1 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[134]) ).
thf(155,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ( ~ ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
| ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) ) )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(156,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
| ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(157,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
| ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[137]) ).
thf(158,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ( ~ ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) )
| ( SV23 @ ( sK7_SY76 @ SV23 @ SV5 ) ) )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[138]) ).
thf(159,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
| ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[139]) ).
thf(160,plain,
( ( ~ ! [SY118: $i] :
( ~ ( r1 @ sK1_SX0 @ SY118 )
| ( sK2_SY80 @ SY118 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(161,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK9_SY119 )
| ~ ! [SY121: $i] :
( ~ ( r1 @ sK9_SY119 @ SY121 )
| ( sK2_SY80 @ SY121 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(162,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) )
| ( SV25 @ ( sK10_SY84 @ SV25 @ SV7 ) ) )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(163,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
| ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) ) )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(164,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
| ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(165,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
| ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) ) )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(166,plain,
! [SV29: $i > $o,SV11: $i] :
( ( ( ! [SY95: $i] :
( ~ ( r1 @ SV11 @ SY95 )
| ( SV29 @ SY95 ) ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[146]) ).
thf(167,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ( ~ ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
| ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(168,plain,
! [SV31: $i > $o,SV13: $i] :
( ( ( ! [SY101: $i] :
( ~ ( r3 @ SV13 @ SY101 )
| ( SV31 @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(169,plain,
! [SV32: $i > $o,SV14: $i] :
( ( ( ! [SY104: $i] :
( ~ ( r2 @ SV14 @ SY104 )
| ( SV32 @ SY104 ) ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(170,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
| ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(171,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
| ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[151]) ).
thf(172,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
| ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[152]) ).
thf(173,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
| ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[153]) ).
thf(174,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ( ~ ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(175,plain,
! [SV1: $i,SV19: $i > $o] :
( ( ( SV19 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $false )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[154]) ).
thf(176,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ( ~ ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) ) )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(177,plain,
! [SV2: $i,SV20: $i > $o] :
( ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[155]) ).
thf(178,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) ) )
= $false )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(179,plain,
! [SV3: $i,SV21: $i > $o] :
( ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[156]) ).
thf(180,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ( ~ ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(181,plain,
! [SV4: $i,SV22: $i > $o] :
( ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(182,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ( ~ ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) ) )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(183,plain,
! [SV5: $i,SV23: $i > $o] :
( ( ( SV23 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $false )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[158]) ).
thf(184,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(185,plain,
! [SV6: $i,SV24: $i > $o] :
( ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(186,plain,
( ( ! [SY118: $i] :
( ~ ( r1 @ sK1_SX0 @ SY118 )
| ( sK2_SY80 @ SY118 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(187,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK9_SY119 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(188,plain,
( ( ~ ! [SY121: $i] :
( ~ ( r1 @ sK9_SY119 @ SY121 )
| ( sK2_SY80 @ SY121 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[161]) ).
thf(189,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) ) )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(190,plain,
! [SV7: $i,SV25: $i > $o] :
( ( ( SV25 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $false )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(191,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ( ~ ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) ) )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(192,plain,
! [SV8: $i,SV26: $i > $o] :
( ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[163]) ).
thf(193,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(194,plain,
! [SV9: $i,SV27: $i > $o] :
( ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(195,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) ) )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(196,plain,
! [SV10: $i,SV28: $i > $o] :
( ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(197,plain,
! [SV29: $i > $o,SV37: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV37 )
| ( SV29 @ SV37 ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(198,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ( ~ ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(199,plain,
! [SV12: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(200,plain,
! [SV31: $i > $o,SV38: $i,SV13: $i] :
( ( ( ~ ( r3 @ SV13 @ SV38 )
| ( SV31 @ SV38 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(201,plain,
! [SV32: $i > $o,SV39: $i,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ SV39 )
| ( SV32 @ SV39 ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(202,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(203,plain,
! [SV15: $i,SV33: $i > $o] :
( ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[170]) ).
thf(204,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(205,plain,
! [SV16: $i,SV34: $i > $o] :
( ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(206,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(207,plain,
! [SV17: $i,SV35: $i > $o] :
( ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[172]) ).
thf(208,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(209,plain,
! [SV18: $i,SV36: $i > $o] :
( ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(210,plain,
! [SV19: $i > $o,SV1: $i] :
( ( ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $true )
| ( ( ! [SY67: $i] :
( ~ ( r1 @ SV1 @ SY67 )
| ( SV19 @ SY67 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(211,plain,
! [SV19: $i > $o,SV40: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV40 )
| ( SV19 @ SV40 ) )
= $true )
| ( ( SV19 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(212,plain,
! [SV20: $i > $o,SV2: $i] :
( ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true )
| ( ( ! [SY69: $i] :
( ~ ( r1 @ SV2 @ SY69 )
| ! [SY70: $i] :
( ~ ( r3 @ SY69 @ SY70 )
| ( SV20 @ SY70 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(213,plain,
! [SV20: $i > $o,SV41: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV41 )
| ! [SY122: $i] :
( ~ ( r3 @ SV41 @ SY122 )
| ( SV20 @ SY122 ) ) )
= $true )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(214,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true )
| ( ( ~ ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[178]) ).
thf(215,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $false )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(216,plain,
! [SV22: $i > $o,SV4: $i] :
( ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true )
| ( ( ! [SY74: $i] :
( ~ ( r2 @ SV4 @ SY74 )
| ! [SY75: $i] :
( ~ ( r1 @ SY74 @ SY75 )
| ( SV22 @ SY75 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(217,plain,
! [SV22: $i > $o,SV42: $i,SV4: $i] :
( ( ( ~ ( r2 @ SV4 @ SV42 )
| ! [SY123: $i] :
( ~ ( r1 @ SV42 @ SY123 )
| ( SV22 @ SY123 ) ) )
= $true )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(218,plain,
! [SV23: $i > $o,SV5: $i] :
( ( ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $true )
| ( ( ! [SY77: $i] :
( ~ ( r1 @ SV5 @ SY77 )
| ( SV23 @ SY77 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(219,plain,
! [SV23: $i > $o,SV43: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV43 )
| ( SV23 @ SV43 ) )
= $true )
| ( ( SV23 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(220,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true )
| ( ( ~ ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(221,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $false )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(222,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK19_SY118 )
| ( sK2_SY80 @ sK19_SY118 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[186]) ).
thf(223,plain,
( ( r1 @ sK1_SX0 @ sK9_SY119 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(224,plain,
( ( ! [SY121: $i] :
( ~ ( r1 @ sK9_SY119 @ SY121 )
| ( sK2_SY80 @ SY121 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(225,plain,
! [SV25: $i > $o,SV7: $i] :
( ( ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $true )
| ( ( ! [SY85: $i] :
( ~ ( r2 @ SV7 @ SY85 )
| ( SV25 @ SY85 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(226,plain,
! [SV25: $i > $o,SV44: $i,SV7: $i] :
( ( ( ~ ( r2 @ SV7 @ SV44 )
| ( SV25 @ SV44 ) )
= $true )
| ( ( SV25 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(227,plain,
! [SV26: $i > $o,SV8: $i] :
( ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true )
| ( ( ! [SY87: $i] :
( ~ ( r3 @ SV8 @ SY87 )
| ! [SY88: $i] :
( ~ ( r1 @ SY87 @ SY88 )
| ( SV26 @ SY88 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(228,plain,
! [SV26: $i > $o,SV45: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV45 )
| ! [SY124: $i] :
( ~ ( r1 @ SV45 @ SY124 )
| ( SV26 @ SY124 ) ) )
= $true )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(229,plain,
! [SV27: $i > $o,SV9: $i] :
( ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( r3 @ SV9 @ SY90 )
| ! [SY91: $i] :
( ~ ( r3 @ SY90 @ SY91 )
| ( SV27 @ SY91 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(230,plain,
! [SV27: $i > $o,SV46: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV46 )
| ! [SY125: $i] :
( ~ ( r3 @ SV46 @ SY125 )
| ( SV27 @ SY125 ) ) )
= $true )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(231,plain,
! [SV28: $i > $o,SV10: $i] :
( ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( r1 @ SV10 @ SY93 )
| ! [SY94: $i] :
( ~ ( r1 @ SY93 @ SY94 )
| ( SV28 @ SY94 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(232,plain,
! [SV28: $i > $o,SV47: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV47 )
| ! [SY126: $i] :
( ~ ( r1 @ SV47 @ SY126 )
| ( SV28 @ SY126 ) ) )
= $true )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(233,plain,
! [SV29: $i > $o,SV37: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV37 ) )
= $true )
| ( ( SV29 @ SV37 )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(234,plain,
! [SV30: $i > $o,SV12: $i] :
( ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( r1 @ SV12 @ SY99 )
| ! [SY100: $i] :
( ~ ( r2 @ SY99 @ SY100 )
| ( SV30 @ SY100 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(235,plain,
! [SV30: $i > $o,SV48: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV48 )
| ! [SY127: $i] :
( ~ ( r2 @ SV48 @ SY127 )
| ( SV30 @ SY127 ) ) )
= $true )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(236,plain,
! [SV31: $i > $o,SV38: $i,SV13: $i] :
( ( ( ~ ( r3 @ SV13 @ SV38 ) )
= $true )
| ( ( SV31 @ SV38 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(237,plain,
! [SV32: $i > $o,SV39: $i,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ SV39 ) )
= $true )
| ( ( SV32 @ SV39 )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(238,plain,
! [SV33: $i > $o,SV15: $i] :
( ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( r2 @ SV15 @ SY108 )
| ! [SY109: $i] :
( ~ ( r3 @ SY108 @ SY109 )
| ( SV33 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(239,plain,
! [SV33: $i > $o,SV49: $i,SV15: $i] :
( ( ( ~ ( r2 @ SV15 @ SV49 )
| ! [SY128: $i] :
( ~ ( r3 @ SV49 @ SY128 )
| ( SV33 @ SY128 ) ) )
= $true )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(240,plain,
! [SV34: $i > $o,SV16: $i] :
( ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( r2 @ SV16 @ SY111 )
| ! [SY112: $i] :
( ~ ( r2 @ SY111 @ SY112 )
| ( SV34 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(241,plain,
! [SV34: $i > $o,SV50: $i,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ SV50 )
| ! [SY129: $i] :
( ~ ( r2 @ SV50 @ SY129 )
| ( SV34 @ SY129 ) ) )
= $true )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(242,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true )
| ( ( ~ ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(243,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $false )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(244,plain,
! [SV36: $i > $o,SV18: $i] :
( ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( r3 @ SV18 @ SY116 )
| ! [SY117: $i] :
( ~ ( r2 @ SY116 @ SY117 )
| ( SV36 @ SY117 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(245,plain,
! [SV36: $i > $o,SV51: $i,SV18: $i] :
( ( ( ~ ( r3 @ SV18 @ SV51 )
| ! [SY130: $i] :
( ~ ( r2 @ SV51 @ SY130 )
| ( SV36 @ SY130 ) ) )
= $true )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(246,plain,
! [SV19: $i > $o,SV52: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV52 )
| ( SV19 @ SV52 ) )
= $true )
| ( ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(247,plain,
! [SV19: $i > $o,SV40: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV40 ) )
= $true )
| ( ( SV19 @ SV40 )
= $true )
| ( ( SV19 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(248,plain,
! [SV20: $i > $o,SV53: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV53 )
| ! [SY131: $i] :
( ~ ( r3 @ SV53 @ SY131 )
| ( SV20 @ SY131 ) ) )
= $true )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(249,plain,
! [SV20: $i > $o,SV41: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV41 ) )
= $true )
| ( ( ! [SY122: $i] :
( ~ ( r3 @ SV41 @ SY122 )
| ( SV20 @ SY122 ) ) )
= $true )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(250,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ! [SY72: $i] :
( ~ ( r1 @ SV3 @ SY72 )
| ~ ( SV21 @ SY72 ) ) )
= $false )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(251,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK20_SY72 @ SV21 @ SV3 ) )
| ~ ( SV21 @ ( sK20_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(252,plain,
! [SV22: $i > $o,SV54: $i,SV4: $i] :
( ( ( ~ ( r2 @ SV4 @ SV54 )
| ! [SY132: $i] :
( ~ ( r1 @ SV54 @ SY132 )
| ( SV22 @ SY132 ) ) )
= $true )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(253,plain,
! [SV22: $i > $o,SV42: $i,SV4: $i] :
( ( ( ~ ( r2 @ SV4 @ SV42 ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( r1 @ SV42 @ SY123 )
| ( SV22 @ SY123 ) ) )
= $true )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(254,plain,
! [SV23: $i > $o,SV55: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV55 )
| ( SV23 @ SV55 ) )
= $true )
| ( ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(255,plain,
! [SV23: $i > $o,SV43: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV43 ) )
= $true )
| ( ( SV23 @ SV43 )
= $true )
| ( ( SV23 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(256,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ! [SY79: $i] :
( ~ ( r3 @ SV6 @ SY79 )
| ~ ( SV24 @ SY79 ) ) )
= $false )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(257,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK21_SY79 @ SV24 @ SV6 ) )
| ~ ( SV24 @ ( sK21_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[221]) ).
thf(258,plain,
( ( ~ ( r1 @ sK1_SX0 @ sK19_SY118 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(259,plain,
( ( sK2_SY80 @ sK19_SY118 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(260,plain,
! [SV56: $i] :
( ( ~ ( r1 @ sK9_SY119 @ SV56 )
| ( sK2_SY80 @ SV56 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(261,plain,
! [SV25: $i > $o,SV57: $i,SV7: $i] :
( ( ( ~ ( r2 @ SV7 @ SV57 )
| ( SV25 @ SV57 ) )
= $true )
| ( ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(262,plain,
! [SV25: $i > $o,SV44: $i,SV7: $i] :
( ( ( ~ ( r2 @ SV7 @ SV44 ) )
= $true )
| ( ( SV25 @ SV44 )
= $true )
| ( ( SV25 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(263,plain,
! [SV26: $i > $o,SV58: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV58 )
| ! [SY133: $i] :
( ~ ( r1 @ SV58 @ SY133 )
| ( SV26 @ SY133 ) ) )
= $true )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(264,plain,
! [SV26: $i > $o,SV45: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV45 ) )
= $true )
| ( ( ! [SY124: $i] :
( ~ ( r1 @ SV45 @ SY124 )
| ( SV26 @ SY124 ) ) )
= $true )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(265,plain,
! [SV27: $i > $o,SV59: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV59 )
| ! [SY134: $i] :
( ~ ( r3 @ SV59 @ SY134 )
| ( SV27 @ SY134 ) ) )
= $true )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(266,plain,
! [SV27: $i > $o,SV46: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV46 ) )
= $true )
| ( ( ! [SY125: $i] :
( ~ ( r3 @ SV46 @ SY125 )
| ( SV27 @ SY125 ) ) )
= $true )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(267,plain,
! [SV28: $i > $o,SV60: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV60 )
| ! [SY135: $i] :
( ~ ( r1 @ SV60 @ SY135 )
| ( SV28 @ SY135 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(268,plain,
! [SV28: $i > $o,SV47: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV47 ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( r1 @ SV47 @ SY126 )
| ( SV28 @ SY126 ) ) )
= $true )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[232]) ).
thf(269,plain,
! [SV29: $i > $o,SV37: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV37 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( r1 @ SV11 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( r1 @ SY96 @ SY97 )
| ( SV29 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(270,plain,
! [SV30: $i > $o,SV61: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV61 )
| ! [SY136: $i] :
( ~ ( r2 @ SV61 @ SY136 )
| ( SV30 @ SY136 ) ) )
= $true )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(271,plain,
! [SV30: $i > $o,SV48: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV48 ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( r2 @ SV48 @ SY127 )
| ( SV30 @ SY127 ) ) )
= $true )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(272,plain,
! [SV31: $i > $o,SV38: $i,SV13: $i] :
( ( ( r3 @ SV13 @ SV38 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( r3 @ SV13 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( r3 @ SY102 @ SY103 )
| ( SV31 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(273,plain,
! [SV32: $i > $o,SV39: $i,SV14: $i] :
( ( ( r2 @ SV14 @ SV39 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( r2 @ SV14 @ SY105 )
| ~ ! [SY106: $i] :
( ~ ( r2 @ SY105 @ SY106 )
| ( SV32 @ SY106 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(274,plain,
! [SV33: $i > $o,SV62: $i,SV15: $i] :
( ( ( ~ ( r2 @ SV15 @ SV62 )
| ! [SY137: $i] :
( ~ ( r3 @ SV62 @ SY137 )
| ( SV33 @ SY137 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(275,plain,
! [SV33: $i > $o,SV49: $i,SV15: $i] :
( ( ( ~ ( r2 @ SV15 @ SV49 ) )
= $true )
| ( ( ! [SY128: $i] :
( ~ ( r3 @ SV49 @ SY128 )
| ( SV33 @ SY128 ) ) )
= $true )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(276,plain,
! [SV34: $i > $o,SV63: $i,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ SV63 )
| ! [SY138: $i] :
( ~ ( r2 @ SV63 @ SY138 )
| ( SV34 @ SY138 ) ) )
= $true )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(277,plain,
! [SV34: $i > $o,SV50: $i,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ SV50 ) )
= $true )
| ( ( ! [SY129: $i] :
( ~ ( r2 @ SV50 @ SY129 )
| ( SV34 @ SY129 ) ) )
= $true )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(278,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ! [SY114: $i] :
( ~ ( r2 @ SV17 @ SY114 )
| ~ ( SV35 @ SY114 ) ) )
= $false )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(279,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK22_SY114 @ SV35 @ SV17 ) )
| ~ ( SV35 @ ( sK22_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(280,plain,
! [SV36: $i > $o,SV64: $i,SV18: $i] :
( ( ( ~ ( r3 @ SV18 @ SV64 )
| ! [SY139: $i] :
( ~ ( r2 @ SV64 @ SY139 )
| ( SV36 @ SY139 ) ) )
= $true )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(281,plain,
! [SV36: $i > $o,SV51: $i,SV18: $i] :
( ( ( ~ ( r3 @ SV18 @ SV51 ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( r2 @ SV51 @ SY130 )
| ( SV36 @ SY130 ) ) )
= $true )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(282,plain,
! [SV19: $i > $o,SV52: $i,SV1: $i] :
( ( ( ~ ( r1 @ SV1 @ SV52 ) )
= $true )
| ( ( SV19 @ SV52 )
= $true )
| ( ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(283,plain,
! [SV19: $i > $o,SV40: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV40 )
= $false )
| ( ( SV19 @ SV40 )
= $true )
| ( ( SV19 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(284,plain,
! [SV20: $i > $o,SV53: $i,SV2: $i] :
( ( ( ~ ( r1 @ SV2 @ SV53 ) )
= $true )
| ( ( ! [SY131: $i] :
( ~ ( r3 @ SV53 @ SY131 )
| ( SV20 @ SY131 ) ) )
= $true )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(285,plain,
! [SV20: $i > $o,SV41: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV41 )
= $false )
| ( ( ! [SY122: $i] :
( ~ ( r3 @ SV41 @ SY122 )
| ( SV20 @ SY122 ) ) )
= $true )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(286,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK23_SY72 @ SV21 @ SV3 ) )
| ~ ( SV21 @ ( sK23_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[250]) ).
thf(287,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK20_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(288,plain,
! [SV3: $i,SV21: $i > $o] :
( ( ( ~ ( SV21 @ ( sK20_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[251]) ).
thf(289,plain,
! [SV22: $i > $o,SV54: $i,SV4: $i] :
( ( ( ~ ( r2 @ SV4 @ SV54 ) )
= $true )
| ( ( ! [SY132: $i] :
( ~ ( r1 @ SV54 @ SY132 )
| ( SV22 @ SY132 ) ) )
= $true )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(290,plain,
! [SV22: $i > $o,SV42: $i,SV4: $i] :
( ( ( r2 @ SV4 @ SV42 )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( r1 @ SV42 @ SY123 )
| ( SV22 @ SY123 ) ) )
= $true )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(291,plain,
! [SV23: $i > $o,SV55: $i,SV5: $i] :
( ( ( ~ ( r1 @ SV5 @ SV55 ) )
= $true )
| ( ( SV23 @ SV55 )
= $true )
| ( ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(292,plain,
! [SV23: $i > $o,SV43: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV43 )
= $false )
| ( ( SV23 @ SV43 )
= $true )
| ( ( SV23 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(293,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK24_SY79 @ SV24 @ SV6 ) )
| ~ ( SV24 @ ( sK24_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[256]) ).
thf(294,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK21_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(295,plain,
! [SV6: $i,SV24: $i > $o] :
( ( ( ~ ( SV24 @ ( sK21_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[257]) ).
thf(296,plain,
( ( r1 @ sK1_SX0 @ sK19_SY118 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(297,plain,
! [SV56: $i] :
( ( ( ~ ( r1 @ sK9_SY119 @ SV56 ) )
= $true )
| ( ( sK2_SY80 @ SV56 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(298,plain,
! [SV25: $i > $o,SV57: $i,SV7: $i] :
( ( ( ~ ( r2 @ SV7 @ SV57 ) )
= $true )
| ( ( SV25 @ SV57 )
= $true )
| ( ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(299,plain,
! [SV25: $i > $o,SV44: $i,SV7: $i] :
( ( ( r2 @ SV7 @ SV44 )
= $false )
| ( ( SV25 @ SV44 )
= $true )
| ( ( SV25 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(300,plain,
! [SV26: $i > $o,SV58: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV58 ) )
= $true )
| ( ( ! [SY133: $i] :
( ~ ( r1 @ SV58 @ SY133 )
| ( SV26 @ SY133 ) ) )
= $true )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(301,plain,
! [SV26: $i > $o,SV45: $i,SV8: $i] :
( ( ( r3 @ SV8 @ SV45 )
= $false )
| ( ( ! [SY124: $i] :
( ~ ( r1 @ SV45 @ SY124 )
| ( SV26 @ SY124 ) ) )
= $true )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(302,plain,
! [SV27: $i > $o,SV59: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV59 ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( r3 @ SV59 @ SY134 )
| ( SV27 @ SY134 ) ) )
= $true )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(303,plain,
! [SV27: $i > $o,SV46: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV46 )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( r3 @ SV46 @ SY125 )
| ( SV27 @ SY125 ) ) )
= $true )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(304,plain,
! [SV28: $i > $o,SV60: $i,SV10: $i] :
( ( ( ~ ( r1 @ SV10 @ SV60 ) )
= $true )
| ( ( ! [SY135: $i] :
( ~ ( r1 @ SV60 @ SY135 )
| ( SV28 @ SY135 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(305,plain,
! [SV28: $i > $o,SV47: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( r1 @ SV47 @ SY126 )
| ( SV28 @ SY126 ) ) )
= $true )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(306,plain,
! [SV37: $i,SV29: $i > $o,SV65: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV65 )
| ~ ! [SY140: $i] :
( ~ ( r1 @ SV65 @ SY140 )
| ( SV29 @ SY140 ) ) )
= $true )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(307,plain,
! [SV30: $i > $o,SV61: $i,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ SV61 ) )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( r2 @ SV61 @ SY136 )
| ( SV30 @ SY136 ) ) )
= $true )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(308,plain,
! [SV30: $i > $o,SV48: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV48 )
= $false )
| ( ( ! [SY127: $i] :
( ~ ( r2 @ SV48 @ SY127 )
| ( SV30 @ SY127 ) ) )
= $true )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(309,plain,
! [SV38: $i,SV31: $i > $o,SV66: $i,SV13: $i] :
( ( ( ~ ( r3 @ SV13 @ SV66 )
| ~ ! [SY141: $i] :
( ~ ( r3 @ SV66 @ SY141 )
| ( SV31 @ SY141 ) ) )
= $true )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(310,plain,
! [SV39: $i,SV32: $i > $o,SV67: $i,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ SV67 )
| ~ ! [SY142: $i] :
( ~ ( r2 @ SV67 @ SY142 )
| ( SV32 @ SY142 ) ) )
= $true )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(311,plain,
! [SV33: $i > $o,SV62: $i,SV15: $i] :
( ( ( ~ ( r2 @ SV15 @ SV62 ) )
= $true )
| ( ( ! [SY137: $i] :
( ~ ( r3 @ SV62 @ SY137 )
| ( SV33 @ SY137 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(312,plain,
! [SV33: $i > $o,SV49: $i,SV15: $i] :
( ( ( r2 @ SV15 @ SV49 )
= $false )
| ( ( ! [SY128: $i] :
( ~ ( r3 @ SV49 @ SY128 )
| ( SV33 @ SY128 ) ) )
= $true )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(313,plain,
! [SV34: $i > $o,SV63: $i,SV16: $i] :
( ( ( ~ ( r2 @ SV16 @ SV63 ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( r2 @ SV63 @ SY138 )
| ( SV34 @ SY138 ) ) )
= $true )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(314,plain,
! [SV34: $i > $o,SV50: $i,SV16: $i] :
( ( ( r2 @ SV16 @ SV50 )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( r2 @ SV50 @ SY129 )
| ( SV34 @ SY129 ) ) )
= $true )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(315,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK25_SY114 @ SV35 @ SV17 ) )
| ~ ( SV35 @ ( sK25_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[278]) ).
thf(316,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK22_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(317,plain,
! [SV17: $i,SV35: $i > $o] :
( ( ( ~ ( SV35 @ ( sK22_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(318,plain,
! [SV36: $i > $o,SV64: $i,SV18: $i] :
( ( ( ~ ( r3 @ SV18 @ SV64 ) )
= $true )
| ( ( ! [SY139: $i] :
( ~ ( r2 @ SV64 @ SY139 )
| ( SV36 @ SY139 ) ) )
= $true )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(319,plain,
! [SV36: $i > $o,SV51: $i,SV18: $i] :
( ( ( r3 @ SV18 @ SV51 )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( r2 @ SV51 @ SY130 )
| ( SV36 @ SY130 ) ) )
= $true )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(320,plain,
! [SV19: $i > $o,SV52: $i,SV1: $i] :
( ( ( r1 @ SV1 @ SV52 )
= $false )
| ( ( SV19 @ SV52 )
= $true )
| ( ( r3 @ SV1 @ ( sK3_SY66 @ SV19 @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(321,plain,
! [SV20: $i > $o,SV53: $i,SV2: $i] :
( ( ( r1 @ SV2 @ SV53 )
= $false )
| ( ( ! [SY131: $i] :
( ~ ( r3 @ SV53 @ SY131 )
| ( SV20 @ SY131 ) ) )
= $true )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(322,plain,
! [SV2: $i,SV20: $i > $o,SV68: $i,SV41: $i] :
( ( ( ~ ( r3 @ SV41 @ SV68 )
| ( SV20 @ SV68 ) )
= $true )
| ( ( r1 @ SV2 @ SV41 )
= $false )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(323,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( ~ ( r1 @ SV3 @ ( sK23_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(324,plain,
! [SV3: $i,SV21: $i > $o] :
( ( ( ~ ( SV21 @ ( sK23_SY72 @ SV21 @ SV3 ) ) )
= $false )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(325,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( r1 @ SV3 @ ( sK20_SY72 @ SV21 @ SV3 ) )
= $true )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(326,plain,
! [SV3: $i,SV21: $i > $o] :
( ( ( SV21 @ ( sK20_SY72 @ SV21 @ SV3 ) )
= $true )
| ( ( SV21 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(327,plain,
! [SV22: $i > $o,SV54: $i,SV4: $i] :
( ( ( r2 @ SV4 @ SV54 )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( r1 @ SV54 @ SY132 )
| ( SV22 @ SY132 ) ) )
= $true )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(328,plain,
! [SV4: $i,SV22: $i > $o,SV69: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV69 )
| ( SV22 @ SV69 ) )
= $true )
| ( ( r2 @ SV4 @ SV42 )
= $false )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(329,plain,
! [SV23: $i > $o,SV55: $i,SV5: $i] :
( ( ( r1 @ SV5 @ SV55 )
= $false )
| ( ( SV23 @ SV55 )
= $true )
| ( ( r2 @ SV5 @ ( sK7_SY76 @ SV23 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(330,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( ~ ( r3 @ SV6 @ ( sK24_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(331,plain,
! [SV6: $i,SV24: $i > $o] :
( ( ( ~ ( SV24 @ ( sK24_SY79 @ SV24 @ SV6 ) ) )
= $false )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(332,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( r3 @ SV6 @ ( sK21_SY79 @ SV24 @ SV6 ) )
= $true )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(333,plain,
! [SV6: $i,SV24: $i > $o] :
( ( ( SV24 @ ( sK21_SY79 @ SV24 @ SV6 ) )
= $true )
| ( ( SV24 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(334,plain,
! [SV56: $i] :
( ( ( r1 @ sK9_SY119 @ SV56 )
= $false )
| ( ( sK2_SY80 @ SV56 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(335,plain,
! [SV25: $i > $o,SV57: $i,SV7: $i] :
( ( ( r2 @ SV7 @ SV57 )
= $false )
| ( ( SV25 @ SV57 )
= $true )
| ( ( r3 @ SV7 @ ( sK10_SY84 @ SV25 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(336,plain,
! [SV26: $i > $o,SV58: $i,SV8: $i] :
( ( ( r3 @ SV8 @ SV58 )
= $false )
| ( ( ! [SY133: $i] :
( ~ ( r1 @ SV58 @ SY133 )
| ( SV26 @ SY133 ) ) )
= $true )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(337,plain,
! [SV8: $i,SV26: $i > $o,SV70: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV70 )
| ( SV26 @ SV70 ) )
= $true )
| ( ( r3 @ SV8 @ SV45 )
= $false )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV27: $i > $o,SV59: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV59 )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( r3 @ SV59 @ SY134 )
| ( SV27 @ SY134 ) ) )
= $true )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(339,plain,
! [SV9: $i,SV27: $i > $o,SV71: $i,SV46: $i] :
( ( ( ~ ( r3 @ SV46 @ SV71 )
| ( SV27 @ SV71 ) )
= $true )
| ( ( r3 @ SV9 @ SV46 )
= $false )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(340,plain,
! [SV28: $i > $o,SV60: $i,SV10: $i] :
( ( ( r1 @ SV10 @ SV60 )
= $false )
| ( ( ! [SY135: $i] :
( ~ ( r1 @ SV60 @ SY135 )
| ( SV28 @ SY135 ) ) )
= $true )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV10: $i,SV28: $i > $o,SV72: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV72 )
| ( SV28 @ SV72 ) )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV37: $i,SV29: $i > $o,SV65: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV65 ) )
= $true )
| ( ( ~ ! [SY140: $i] :
( ~ ( r1 @ SV65 @ SY140 )
| ( SV29 @ SY140 ) ) )
= $true )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(343,plain,
! [SV30: $i > $o,SV61: $i,SV12: $i] :
( ( ( r1 @ SV12 @ SV61 )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( r2 @ SV61 @ SY136 )
| ( SV30 @ SY136 ) ) )
= $true )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(344,plain,
! [SV12: $i,SV30: $i > $o,SV73: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV73 )
| ( SV30 @ SV73 ) )
= $true )
| ( ( r1 @ SV12 @ SV48 )
= $false )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(345,plain,
! [SV38: $i,SV31: $i > $o,SV66: $i,SV13: $i] :
( ( ( ~ ( r3 @ SV13 @ SV66 ) )
= $true )
| ( ( ~ ! [SY141: $i] :
( ~ ( r3 @ SV66 @ SY141 )
| ( SV31 @ SY141 ) ) )
= $true )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(346,plain,
! [SV39: $i,SV32: $i > $o,SV67: $i,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ SV67 ) )
= $true )
| ( ( ~ ! [SY142: $i] :
( ~ ( r2 @ SV67 @ SY142 )
| ( SV32 @ SY142 ) ) )
= $true )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(347,plain,
! [SV33: $i > $o,SV62: $i,SV15: $i] :
( ( ( r2 @ SV15 @ SV62 )
= $false )
| ( ( ! [SY137: $i] :
( ~ ( r3 @ SV62 @ SY137 )
| ( SV33 @ SY137 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(348,plain,
! [SV15: $i,SV33: $i > $o,SV74: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV74 )
| ( SV33 @ SV74 ) )
= $true )
| ( ( r2 @ SV15 @ SV49 )
= $false )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(349,plain,
! [SV34: $i > $o,SV63: $i,SV16: $i] :
( ( ( r2 @ SV16 @ SV63 )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( r2 @ SV63 @ SY138 )
| ( SV34 @ SY138 ) ) )
= $true )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(350,plain,
! [SV16: $i,SV34: $i > $o,SV75: $i,SV50: $i] :
( ( ( ~ ( r2 @ SV50 @ SV75 )
| ( SV34 @ SV75 ) )
= $true )
| ( ( r2 @ SV16 @ SV50 )
= $false )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(351,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ ( sK25_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(352,plain,
! [SV17: $i,SV35: $i > $o] :
( ( ( ~ ( SV35 @ ( sK25_SY114 @ SV35 @ SV17 ) ) )
= $false )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(353,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( r2 @ SV17 @ ( sK22_SY114 @ SV35 @ SV17 ) )
= $true )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(354,plain,
! [SV17: $i,SV35: $i > $o] :
( ( ( SV35 @ ( sK22_SY114 @ SV35 @ SV17 ) )
= $true )
| ( ( SV35 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(355,plain,
! [SV36: $i > $o,SV64: $i,SV18: $i] :
( ( ( r3 @ SV18 @ SV64 )
= $false )
| ( ( ! [SY139: $i] :
( ~ ( r2 @ SV64 @ SY139 )
| ( SV36 @ SY139 ) ) )
= $true )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(356,plain,
! [SV18: $i,SV36: $i > $o,SV76: $i,SV51: $i] :
( ( ( ~ ( r2 @ SV51 @ SV76 )
| ( SV36 @ SV76 ) )
= $true )
| ( ( r3 @ SV18 @ SV51 )
= $false )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(357,plain,
! [SV2: $i,SV20: $i > $o,SV77: $i,SV53: $i] :
( ( ( ~ ( r3 @ SV53 @ SV77 )
| ( SV20 @ SV77 ) )
= $true )
| ( ( r1 @ SV2 @ SV53 )
= $false )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(358,plain,
! [SV2: $i,SV20: $i > $o,SV68: $i,SV41: $i] :
( ( ( ~ ( r3 @ SV41 @ SV68 ) )
= $true )
| ( ( SV20 @ SV68 )
= $true )
| ( ( r1 @ SV2 @ SV41 )
= $false )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(359,plain,
! [SV21: $i > $o,SV3: $i] :
( ( ( r1 @ SV3 @ ( sK23_SY72 @ SV21 @ SV3 ) )
= $true )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(360,plain,
! [SV3: $i,SV21: $i > $o] :
( ( ( SV21 @ ( sK23_SY72 @ SV21 @ SV3 ) )
= $true )
| ( ( r1 @ SV3 @ ( sK5_SY71 @ SV21 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(361,plain,
! [SV4: $i,SV22: $i > $o,SV78: $i,SV54: $i] :
( ( ( ~ ( r1 @ SV54 @ SV78 )
| ( SV22 @ SV78 ) )
= $true )
| ( ( r2 @ SV4 @ SV54 )
= $false )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(362,plain,
! [SV4: $i,SV22: $i > $o,SV69: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV69 ) )
= $true )
| ( ( SV22 @ SV69 )
= $true )
| ( ( r2 @ SV4 @ SV42 )
= $false )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(363,plain,
! [SV24: $i > $o,SV6: $i] :
( ( ( r3 @ SV6 @ ( sK24_SY79 @ SV24 @ SV6 ) )
= $true )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(364,plain,
! [SV6: $i,SV24: $i > $o] :
( ( ( SV24 @ ( sK24_SY79 @ SV24 @ SV6 ) )
= $true )
| ( ( r3 @ SV6 @ ( sK8_SY78 @ SV24 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(365,plain,
! [SV8: $i,SV26: $i > $o,SV79: $i,SV58: $i] :
( ( ( ~ ( r1 @ SV58 @ SV79 )
| ( SV26 @ SV79 ) )
= $true )
| ( ( r3 @ SV8 @ SV58 )
= $false )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(366,plain,
! [SV8: $i,SV26: $i > $o,SV70: $i,SV45: $i] :
( ( ( ~ ( r1 @ SV45 @ SV70 ) )
= $true )
| ( ( SV26 @ SV70 )
= $true )
| ( ( r3 @ SV8 @ SV45 )
= $false )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(367,plain,
! [SV9: $i,SV27: $i > $o,SV80: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV80 )
| ( SV27 @ SV80 ) )
= $true )
| ( ( r3 @ SV9 @ SV59 )
= $false )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(368,plain,
! [SV9: $i,SV27: $i > $o,SV71: $i,SV46: $i] :
( ( ( ~ ( r3 @ SV46 @ SV71 ) )
= $true )
| ( ( SV27 @ SV71 )
= $true )
| ( ( r3 @ SV9 @ SV46 )
= $false )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(369,plain,
! [SV10: $i,SV28: $i > $o,SV81: $i,SV60: $i] :
( ( ( ~ ( r1 @ SV60 @ SV81 )
| ( SV28 @ SV81 ) )
= $true )
| ( ( r1 @ SV10 @ SV60 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(370,plain,
! [SV10: $i,SV28: $i > $o,SV72: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV72 ) )
= $true )
| ( ( SV28 @ SV72 )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(371,plain,
! [SV37: $i,SV29: $i > $o,SV65: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( ~ ! [SY140: $i] :
( ~ ( r1 @ SV65 @ SY140 )
| ( SV29 @ SY140 ) ) )
= $true )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(372,plain,
! [SV12: $i,SV30: $i > $o,SV82: $i,SV61: $i] :
( ( ( ~ ( r2 @ SV61 @ SV82 )
| ( SV30 @ SV82 ) )
= $true )
| ( ( r1 @ SV12 @ SV61 )
= $false )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(373,plain,
! [SV12: $i,SV30: $i > $o,SV73: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV73 ) )
= $true )
| ( ( SV30 @ SV73 )
= $true )
| ( ( r1 @ SV12 @ SV48 )
= $false )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(374,plain,
! [SV38: $i,SV31: $i > $o,SV66: $i,SV13: $i] :
( ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( ~ ! [SY141: $i] :
( ~ ( r3 @ SV66 @ SY141 )
| ( SV31 @ SY141 ) ) )
= $true )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(375,plain,
! [SV39: $i,SV32: $i > $o,SV67: $i,SV14: $i] :
( ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( ~ ! [SY142: $i] :
( ~ ( r2 @ SV67 @ SY142 )
| ( SV32 @ SY142 ) ) )
= $true )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(376,plain,
! [SV15: $i,SV33: $i > $o,SV83: $i,SV62: $i] :
( ( ( ~ ( r3 @ SV62 @ SV83 )
| ( SV33 @ SV83 ) )
= $true )
| ( ( r2 @ SV15 @ SV62 )
= $false )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(377,plain,
! [SV15: $i,SV33: $i > $o,SV74: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV74 ) )
= $true )
| ( ( SV33 @ SV74 )
= $true )
| ( ( r2 @ SV15 @ SV49 )
= $false )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(378,plain,
! [SV16: $i,SV34: $i > $o,SV84: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV84 )
| ( SV34 @ SV84 ) )
= $true )
| ( ( r2 @ SV16 @ SV63 )
= $false )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(379,plain,
! [SV16: $i,SV34: $i > $o,SV75: $i,SV50: $i] :
( ( ( ~ ( r2 @ SV50 @ SV75 ) )
= $true )
| ( ( SV34 @ SV75 )
= $true )
| ( ( r2 @ SV16 @ SV50 )
= $false )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(380,plain,
! [SV35: $i > $o,SV17: $i] :
( ( ( r2 @ SV17 @ ( sK25_SY114 @ SV35 @ SV17 ) )
= $true )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(381,plain,
! [SV17: $i,SV35: $i > $o] :
( ( ( SV35 @ ( sK25_SY114 @ SV35 @ SV17 ) )
= $true )
| ( ( r2 @ SV17 @ ( sK17_SY113 @ SV35 @ SV17 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(382,plain,
! [SV18: $i,SV36: $i > $o,SV85: $i,SV64: $i] :
( ( ( ~ ( r2 @ SV64 @ SV85 )
| ( SV36 @ SV85 ) )
= $true )
| ( ( r3 @ SV18 @ SV64 )
= $false )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(383,plain,
! [SV18: $i,SV36: $i > $o,SV76: $i,SV51: $i] :
( ( ( ~ ( r2 @ SV51 @ SV76 ) )
= $true )
| ( ( SV36 @ SV76 )
= $true )
| ( ( r3 @ SV18 @ SV51 )
= $false )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(384,plain,
! [SV2: $i,SV20: $i > $o,SV77: $i,SV53: $i] :
( ( ( ~ ( r3 @ SV53 @ SV77 ) )
= $true )
| ( ( SV20 @ SV77 )
= $true )
| ( ( r1 @ SV2 @ SV53 )
= $false )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(385,plain,
! [SV2: $i,SV20: $i > $o,SV68: $i,SV41: $i] :
( ( ( r3 @ SV41 @ SV68 )
= $false )
| ( ( SV20 @ SV68 )
= $true )
| ( ( r1 @ SV2 @ SV41 )
= $false )
| ( ( SV20 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(386,plain,
! [SV4: $i,SV22: $i > $o,SV78: $i,SV54: $i] :
( ( ( ~ ( r1 @ SV54 @ SV78 ) )
= $true )
| ( ( SV22 @ SV78 )
= $true )
| ( ( r2 @ SV4 @ SV54 )
= $false )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(387,plain,
! [SV4: $i,SV22: $i > $o,SV69: $i,SV42: $i] :
( ( ( r1 @ SV42 @ SV69 )
= $false )
| ( ( SV22 @ SV69 )
= $true )
| ( ( r2 @ SV4 @ SV42 )
= $false )
| ( ( SV22 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(388,plain,
! [SV8: $i,SV26: $i > $o,SV79: $i,SV58: $i] :
( ( ( ~ ( r1 @ SV58 @ SV79 ) )
= $true )
| ( ( SV26 @ SV79 )
= $true )
| ( ( r3 @ SV8 @ SV58 )
= $false )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(389,plain,
! [SV8: $i,SV26: $i > $o,SV70: $i,SV45: $i] :
( ( ( r1 @ SV45 @ SV70 )
= $false )
| ( ( SV26 @ SV70 )
= $true )
| ( ( r3 @ SV8 @ SV45 )
= $false )
| ( ( SV26 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(390,plain,
! [SV9: $i,SV27: $i > $o,SV80: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV80 ) )
= $true )
| ( ( SV27 @ SV80 )
= $true )
| ( ( r3 @ SV9 @ SV59 )
= $false )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(391,plain,
! [SV9: $i,SV27: $i > $o,SV71: $i,SV46: $i] :
( ( ( r3 @ SV46 @ SV71 )
= $false )
| ( ( SV27 @ SV71 )
= $true )
| ( ( r3 @ SV9 @ SV46 )
= $false )
| ( ( SV27 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(392,plain,
! [SV10: $i,SV28: $i > $o,SV81: $i,SV60: $i] :
( ( ( ~ ( r1 @ SV60 @ SV81 ) )
= $true )
| ( ( SV28 @ SV81 )
= $true )
| ( ( r1 @ SV10 @ SV60 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(393,plain,
! [SV10: $i,SV28: $i > $o,SV72: $i,SV47: $i] :
( ( ( r1 @ SV47 @ SV72 )
= $false )
| ( ( SV28 @ SV72 )
= $true )
| ( ( r1 @ SV10 @ SV47 )
= $false )
| ( ( SV28 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(394,plain,
! [SV37: $i,SV11: $i,SV29: $i > $o,SV65: $i] :
( ( ( ! [SY140: $i] :
( ~ ( r1 @ SV65 @ SY140 )
| ( SV29 @ SY140 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(395,plain,
! [SV12: $i,SV30: $i > $o,SV82: $i,SV61: $i] :
( ( ( ~ ( r2 @ SV61 @ SV82 ) )
= $true )
| ( ( SV30 @ SV82 )
= $true )
| ( ( r1 @ SV12 @ SV61 )
= $false )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(396,plain,
! [SV12: $i,SV30: $i > $o,SV73: $i,SV48: $i] :
( ( ( r2 @ SV48 @ SV73 )
= $false )
| ( ( SV30 @ SV73 )
= $true )
| ( ( r1 @ SV12 @ SV48 )
= $false )
| ( ( SV30 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(397,plain,
! [SV38: $i,SV13: $i,SV31: $i > $o,SV66: $i] :
( ( ( ! [SY141: $i] :
( ~ ( r3 @ SV66 @ SY141 )
| ( SV31 @ SY141 ) ) )
= $false )
| ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(398,plain,
! [SV39: $i,SV14: $i,SV32: $i > $o,SV67: $i] :
( ( ( ! [SY142: $i] :
( ~ ( r2 @ SV67 @ SY142 )
| ( SV32 @ SY142 ) ) )
= $false )
| ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(399,plain,
! [SV15: $i,SV33: $i > $o,SV83: $i,SV62: $i] :
( ( ( ~ ( r3 @ SV62 @ SV83 ) )
= $true )
| ( ( SV33 @ SV83 )
= $true )
| ( ( r2 @ SV15 @ SV62 )
= $false )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(400,plain,
! [SV15: $i,SV33: $i > $o,SV74: $i,SV49: $i] :
( ( ( r3 @ SV49 @ SV74 )
= $false )
| ( ( SV33 @ SV74 )
= $true )
| ( ( r2 @ SV15 @ SV49 )
= $false )
| ( ( SV33 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(401,plain,
! [SV16: $i,SV34: $i > $o,SV84: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV84 ) )
= $true )
| ( ( SV34 @ SV84 )
= $true )
| ( ( r2 @ SV16 @ SV63 )
= $false )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(402,plain,
! [SV16: $i,SV34: $i > $o,SV75: $i,SV50: $i] :
( ( ( r2 @ SV50 @ SV75 )
= $false )
| ( ( SV34 @ SV75 )
= $true )
| ( ( r2 @ SV16 @ SV50 )
= $false )
| ( ( SV34 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(403,plain,
! [SV18: $i,SV36: $i > $o,SV85: $i,SV64: $i] :
( ( ( ~ ( r2 @ SV64 @ SV85 ) )
= $true )
| ( ( SV36 @ SV85 )
= $true )
| ( ( r3 @ SV18 @ SV64 )
= $false )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(404,plain,
! [SV18: $i,SV36: $i > $o,SV76: $i,SV51: $i] :
( ( ( r2 @ SV51 @ SV76 )
= $false )
| ( ( SV36 @ SV76 )
= $true )
| ( ( r3 @ SV18 @ SV51 )
= $false )
| ( ( SV36 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(405,plain,
! [SV2: $i,SV20: $i > $o,SV77: $i,SV53: $i] :
( ( ( r3 @ SV53 @ SV77 )
= $false )
| ( ( SV20 @ SV77 )
= $true )
| ( ( r1 @ SV2 @ SV53 )
= $false )
| ( ( r3 @ SV2 @ ( sK4_SY68 @ SV20 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(406,plain,
! [SV4: $i,SV22: $i > $o,SV78: $i,SV54: $i] :
( ( ( r1 @ SV54 @ SV78 )
= $false )
| ( ( SV22 @ SV78 )
= $true )
| ( ( r2 @ SV4 @ SV54 )
= $false )
| ( ( r1 @ SV4 @ ( sK6_SY73 @ SV22 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(407,plain,
! [SV8: $i,SV26: $i > $o,SV79: $i,SV58: $i] :
( ( ( r1 @ SV58 @ SV79 )
= $false )
| ( ( SV26 @ SV79 )
= $true )
| ( ( r3 @ SV8 @ SV58 )
= $false )
| ( ( r1 @ SV8 @ ( sK11_SY86 @ SV26 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(408,plain,
! [SV9: $i,SV27: $i > $o,SV80: $i,SV59: $i] :
( ( ( r3 @ SV59 @ SV80 )
= $false )
| ( ( SV27 @ SV80 )
= $true )
| ( ( r3 @ SV9 @ SV59 )
= $false )
| ( ( r3 @ SV9 @ ( sK12_SY89 @ SV27 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(409,plain,
! [SV10: $i,SV28: $i > $o,SV81: $i,SV60: $i] :
( ( ( r1 @ SV60 @ SV81 )
= $false )
| ( ( SV28 @ SV81 )
= $true )
| ( ( r1 @ SV10 @ SV60 )
= $false )
| ( ( r1 @ SV10 @ ( sK13_SY92 @ SV28 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(410,plain,
! [SV29: $i > $o,SV11: $i,SV37: $i,SV65: $i] :
( ( ( ~ ( r1 @ SV65 @ ( sK26_SY140 @ SV37 @ SV11 @ SV29 @ SV65 ) )
| ( SV29 @ ( sK26_SY140 @ SV37 @ SV11 @ SV29 @ SV65 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[394]) ).
thf(411,plain,
! [SV12: $i,SV30: $i > $o,SV82: $i,SV61: $i] :
( ( ( r2 @ SV61 @ SV82 )
= $false )
| ( ( SV30 @ SV82 )
= $true )
| ( ( r1 @ SV12 @ SV61 )
= $false )
| ( ( r2 @ SV12 @ ( sK14_SY98 @ SV30 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(412,plain,
! [SV31: $i > $o,SV13: $i,SV38: $i,SV66: $i] :
( ( ( ~ ( r3 @ SV66 @ ( sK27_SY141 @ SV38 @ SV13 @ SV31 @ SV66 ) )
| ( SV31 @ ( sK27_SY141 @ SV38 @ SV13 @ SV31 @ SV66 ) ) )
= $false )
| ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[397]) ).
thf(413,plain,
! [SV32: $i > $o,SV14: $i,SV39: $i,SV67: $i] :
( ( ( ~ ( r2 @ SV67 @ ( sK28_SY142 @ SV39 @ SV14 @ SV32 @ SV67 ) )
| ( SV32 @ ( sK28_SY142 @ SV39 @ SV14 @ SV32 @ SV67 ) ) )
= $false )
| ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[398]) ).
thf(414,plain,
! [SV15: $i,SV33: $i > $o,SV83: $i,SV62: $i] :
( ( ( r3 @ SV62 @ SV83 )
= $false )
| ( ( SV33 @ SV83 )
= $true )
| ( ( r2 @ SV15 @ SV62 )
= $false )
| ( ( r3 @ SV15 @ ( sK15_SY107 @ SV33 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(415,plain,
! [SV16: $i,SV34: $i > $o,SV84: $i,SV63: $i] :
( ( ( r2 @ SV63 @ SV84 )
= $false )
| ( ( SV34 @ SV84 )
= $true )
| ( ( r2 @ SV16 @ SV63 )
= $false )
| ( ( r2 @ SV16 @ ( sK16_SY110 @ SV34 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(416,plain,
! [SV18: $i,SV36: $i > $o,SV85: $i,SV64: $i] :
( ( ( r2 @ SV64 @ SV85 )
= $false )
| ( ( SV36 @ SV85 )
= $true )
| ( ( r3 @ SV18 @ SV64 )
= $false )
| ( ( r2 @ SV18 @ ( sK18_SY115 @ SV36 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(417,plain,
! [SV29: $i > $o,SV11: $i,SV37: $i,SV65: $i] :
( ( ( ~ ( r1 @ SV65 @ ( sK26_SY140 @ SV37 @ SV11 @ SV29 @ SV65 ) ) )
= $false )
| ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(418,plain,
! [SV65: $i,SV11: $i,SV37: $i,SV29: $i > $o] :
( ( ( SV29 @ ( sK26_SY140 @ SV37 @ SV11 @ SV29 @ SV65 ) )
= $false )
| ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[410]) ).
thf(419,plain,
! [SV31: $i > $o,SV13: $i,SV38: $i,SV66: $i] :
( ( ( ~ ( r3 @ SV66 @ ( sK27_SY141 @ SV38 @ SV13 @ SV31 @ SV66 ) ) )
= $false )
| ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(420,plain,
! [SV66: $i,SV13: $i,SV38: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK27_SY141 @ SV38 @ SV13 @ SV31 @ SV66 ) )
= $false )
| ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[412]) ).
thf(421,plain,
! [SV32: $i > $o,SV14: $i,SV39: $i,SV67: $i] :
( ( ( ~ ( r2 @ SV67 @ ( sK28_SY142 @ SV39 @ SV14 @ SV32 @ SV67 ) ) )
= $false )
| ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(422,plain,
! [SV67: $i,SV14: $i,SV39: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK28_SY142 @ SV39 @ SV14 @ SV32 @ SV67 ) )
= $false )
| ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[413]) ).
thf(423,plain,
! [SV29: $i > $o,SV11: $i,SV37: $i,SV65: $i] :
( ( ( r1 @ SV65 @ ( sK26_SY140 @ SV37 @ SV11 @ SV29 @ SV65 ) )
= $true )
| ( ( r1 @ SV11 @ SV65 )
= $false )
| ( ( SV29 @ SV37 )
= $true )
| ( ( r1 @ SV11 @ SV37 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(424,plain,
! [SV31: $i > $o,SV13: $i,SV38: $i,SV66: $i] :
( ( ( r3 @ SV66 @ ( sK27_SY141 @ SV38 @ SV13 @ SV31 @ SV66 ) )
= $true )
| ( ( r3 @ SV13 @ SV66 )
= $false )
| ( ( SV31 @ SV38 )
= $true )
| ( ( r3 @ SV13 @ SV38 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(425,plain,
! [SV32: $i > $o,SV14: $i,SV39: $i,SV67: $i] :
( ( ( r2 @ SV67 @ ( sK28_SY142 @ SV39 @ SV14 @ SV32 @ SV67 ) )
= $true )
| ( ( r2 @ SV14 @ SV67 )
= $false )
| ( ( SV32 @ SV39 )
= $true )
| ( ( r2 @ SV14 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(426,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[223,425,424,423,422,420,418,416,415,414,411,409,408,407,406,405,404,402,400,396,393,391,389,387,385,381,380,364,363,360,359,354,353,335,334,333,332,329,326,325,320,299,296,292,283,259]) ).
thf(427,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(428,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(429,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(430,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(431,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(432,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(433,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(434,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(435,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(436,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(437,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(438,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(439,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(440,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(441,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(442,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(443,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(444,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(445,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(446,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(447,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(448,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(449,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(450,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(451,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(452,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(453,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(454,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(455,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(456,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(457,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(458,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(459,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(460,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(461,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(462,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(463,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(464,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(465,plain,
! [SV86: $i] :
( ( ! [SY143: $i > $o] :
( ~ ~ ! [SY144: $i] :
( ~ ( r1 @ SV86 @ SY144 )
| ( SY143 @ SY144 ) )
| ! [SY145: $i] :
( ~ ( r1 @ SV86 @ SY145 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY145 @ SX3 )
| ( SY143 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(466,plain,
! [SV87: $i] :
( ( ! [SY147: $i > $o] :
( ~ ! [SY148: $i] :
( ~ ( r2 @ SV87 @ SY148 )
| ( SY147 @ SY148 ) )
| ! [SY149: $i] :
( ~ ( r3 @ SV87 @ SY149 )
| ! [SX3: $i] :
( ~ ( r2 @ SY149 @ SX3 )
| ( SY147 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(467,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(468,plain,
! [SV88: $i] :
( ( ! [SY151: $i > $o] :
( ~ ~ ! [SY152: $i] :
( ~ ( r2 @ SV88 @ SY152 )
| ( SY151 @ SY152 ) )
| ! [SY153: $i] :
( ~ ( r2 @ SV88 @ SY153 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY153 @ SX3 )
| ( SY151 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(469,plain,
! [SV89: $i] :
( ( ! [SY155: $i > $o] :
( ~ ! [SY156: $i] :
( ~ ( r2 @ SV89 @ SY156 )
| ( SY155 @ SY156 ) )
| ! [SY157: $i] :
( ~ ( r1 @ SV89 @ SY157 )
| ! [SX3: $i] :
( ~ ( r2 @ SY157 @ SX3 )
| ( SY155 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(470,plain,
! [SV90: $i] :
( ( ! [SY159: $i > $o] :
( ~ ! [SY160: $i] :
( ~ ( r3 @ SV90 @ SY160 )
| ( SY159 @ SY160 ) )
| ! [SY161: $i] :
( ~ ( r2 @ SV90 @ SY161 )
| ! [SX3: $i] :
( ~ ( r3 @ SY161 @ SX3 )
| ( SY159 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(471,plain,
! [SV91: $i] :
( ( ! [SY163: $i > $o] :
( ~ ! [SY164: $i] :
( ~ ( r1 @ SV91 @ SY164 )
| ( SY163 @ SY164 ) )
| ! [SY165: $i] :
( ~ ( r3 @ SV91 @ SY165 )
| ! [SX3: $i] :
( ~ ( r1 @ SY165 @ SX3 )
| ( SY163 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(472,plain,
! [SV92: $i] :
( ( ! [SY167: $i > $o] :
( ~ ! [SY168: $i] :
( ~ ( r3 @ SV92 @ SY168 )
| ( SY167 @ SY168 ) )
| ! [SY169: $i] :
( ~ ( r1 @ SV92 @ SY169 )
| ( SY167 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(473,plain,
! [SV93: $i] :
( ( ! [SY170: $i > $o] :
( ~ ! [SY171: $i] :
( ~ ( r2 @ SV93 @ SY171 )
| ( SY170 @ SY171 ) )
| ~ ! [SY172: $i] :
( ~ ( r2 @ SV93 @ SY172 )
| ~ ( SY170 @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(474,plain,
! [SV94: $i] :
( ( ! [SY173: $i > $o] :
( ~ ~ ! [SY174: $i] :
( ~ ( r3 @ SV94 @ SY174 )
| ( SY173 @ SY174 ) )
| ! [SY175: $i] :
( ~ ( r3 @ SV94 @ SY175 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY175 @ SX3 )
| ( SY173 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(475,plain,
! [SV95: $i] :
( ( ! [SY177: $i > $o] :
( ~ ! [SY178: $i] :
( ~ ( r3 @ SV95 @ SY178 )
| ( SY177 @ SY178 ) )
| ! [SY179: $i] :
( ~ ( r3 @ SV95 @ SY179 )
| ! [SX3: $i] :
( ~ ( r3 @ SY179 @ SX3 )
| ( SY177 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(476,plain,
! [SV96: $i] :
( ( ! [SY181: $i > $o] :
( ~ ! [SY182: $i] :
( ~ ( r3 @ SV96 @ SY182 )
| ( SY181 @ SY182 ) )
| ! [SY183: $i] :
( ~ ( r2 @ SV96 @ SY183 )
| ( SY181 @ SY183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(477,plain,
! [SV97: $i] :
( ( ! [SY184: $i > $o] :
( ~ ! [SY185: $i] :
( ~ ( r1 @ SV97 @ SY185 )
| ( SY184 @ SY185 ) )
| ! [SY186: $i] :
( ~ ( r2 @ SV97 @ SY186 )
| ! [SX3: $i] :
( ~ ( r1 @ SY186 @ SX3 )
| ( SY184 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(478,plain,
! [SV98: $i] :
( ( ! [SY188: $i > $o] :
( ~ ! [SY189: $i] :
( ~ ( r2 @ SV98 @ SY189 )
| ( SY188 @ SY189 ) )
| ! [SY190: $i] :
( ~ ( r1 @ SV98 @ SY190 )
| ( SY188 @ SY190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(479,plain,
! [SV99: $i] :
( ( ! [SY191: $i > $o] :
( ~ ! [SY192: $i] :
( ~ ( r1 @ SV99 @ SY192 )
| ( SY191 @ SY192 ) )
| ! [SY193: $i] :
( ~ ( r1 @ SV99 @ SY193 )
| ! [SX3: $i] :
( ~ ( r1 @ SY193 @ SX3 )
| ( SY191 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(480,plain,
! [SV100: $i] :
( ( ! [SY195: $i > $o] :
( ~ ! [SY196: $i] :
( ~ ( r2 @ SV100 @ SY196 )
| ( SY195 @ SY196 ) )
| ! [SY197: $i] :
( ~ ( r2 @ SV100 @ SY197 )
| ! [SX3: $i] :
( ~ ( r2 @ SY197 @ SX3 )
| ( SY195 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(481,plain,
! [SV101: $i] :
( ( ! [SY199: $i > $o] :
( ~ ! [SY200: $i] :
( ~ ( r3 @ SV101 @ SY200 )
| ( SY199 @ SY200 ) )
| ~ ! [SY201: $i] :
( ~ ( r3 @ SV101 @ SY201 )
| ~ ( SY199 @ SY201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(482,plain,
! [SV102: $i] :
( ( ! [SY202: $i > $o] :
( ~ ! [SY203: $i] :
( ~ ( r3 @ SV102 @ SY203 )
| ( SY202 @ SY203 ) )
| ! [SY204: $i] :
( ~ ( r1 @ SV102 @ SY204 )
| ! [SX3: $i] :
( ~ ( r3 @ SY204 @ SX3 )
| ( SY202 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(483,plain,
! [SV103: $i] :
( ( ! [SY206: $i > $o] :
( ~ ! [SY207: $i] :
( ~ ( r1 @ SV103 @ SY207 )
| ( SY206 @ SY207 ) )
| ~ ! [SY208: $i] :
( ~ ( r1 @ SV103 @ SY208 )
| ~ ( SY206 @ SY208 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(484,plain,
! [SV104: $i > $o,SV86: $i] :
( ( ~ ~ ! [SY209: $i] :
( ~ ( r1 @ SV86 @ SY209 )
| ( SV104 @ SY209 ) )
| ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(485,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ~ ! [SY212: $i] :
( ~ ( r2 @ SV87 @ SY212 )
| ( SV105 @ SY212 ) )
| ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(486,plain,
( ( ! [SY215: $i > $o] :
( ~ ~ ! [SY216: $i] :
( ~ ( r1 @ sK29_SX0 @ SY216 )
| ( SY215 @ SY216 ) )
| ! [SY217: $i] :
( ~ ( r2 @ sK29_SX0 @ SY217 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY217 @ SX3 )
| ( SY215 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[467]) ).
thf(487,plain,
! [SV106: $i > $o,SV88: $i] :
( ( ~ ~ ! [SY219: $i] :
( ~ ( r2 @ SV88 @ SY219 )
| ( SV106 @ SY219 ) )
| ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(488,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ~ ! [SY222: $i] :
( ~ ( r2 @ SV89 @ SY222 )
| ( SV107 @ SY222 ) )
| ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(489,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ~ ! [SY225: $i] :
( ~ ( r3 @ SV90 @ SY225 )
| ( SV108 @ SY225 ) )
| ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(490,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ~ ! [SY228: $i] :
( ~ ( r1 @ SV91 @ SY228 )
| ( SV109 @ SY228 ) )
| ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(491,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ~ ! [SY231: $i] :
( ~ ( r3 @ SV92 @ SY231 )
| ( SV110 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(492,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ~ ! [SY233: $i] :
( ~ ( r2 @ SV93 @ SY233 )
| ( SV111 @ SY233 ) )
| ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(493,plain,
! [SV112: $i > $o,SV94: $i] :
( ( ~ ~ ! [SY235: $i] :
( ~ ( r3 @ SV94 @ SY235 )
| ( SV112 @ SY235 ) )
| ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(494,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ~ ! [SY238: $i] :
( ~ ( r3 @ SV95 @ SY238 )
| ( SV113 @ SY238 ) )
| ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(495,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ~ ! [SY241: $i] :
( ~ ( r3 @ SV96 @ SY241 )
| ( SV114 @ SY241 ) )
| ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(496,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV97 @ SY243 )
| ( SV115 @ SY243 ) )
| ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(497,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ~ ! [SY246: $i] :
( ~ ( r2 @ SV98 @ SY246 )
| ( SV116 @ SY246 ) )
| ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(498,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ~ ! [SY248: $i] :
( ~ ( r1 @ SV99 @ SY248 )
| ( SV117 @ SY248 ) )
| ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(499,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ~ ! [SY251: $i] :
( ~ ( r2 @ SV100 @ SY251 )
| ( SV118 @ SY251 ) )
| ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(500,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ~ ! [SY254: $i] :
( ~ ( r3 @ SV101 @ SY254 )
| ( SV119 @ SY254 ) )
| ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(501,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ~ ! [SY256: $i] :
( ~ ( r3 @ SV102 @ SY256 )
| ( SV120 @ SY256 ) )
| ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(502,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV103 @ SY259 )
| ( SV121 @ SY259 ) )
| ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(503,plain,
! [SV104: $i > $o,SV86: $i] :
( ( ( ~ ~ ! [SY209: $i] :
( ~ ( r1 @ SV86 @ SY209 )
| ( SV104 @ SY209 ) ) )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(504,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ( ~ ! [SY212: $i] :
( ~ ( r2 @ SV87 @ SY212 )
| ( SV105 @ SY212 ) ) )
= $true )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(505,plain,
( ( ~ ~ ! [SY261: $i] :
( ~ ( r1 @ sK29_SX0 @ SY261 )
| ( sK30_SY215 @ SY261 ) )
| ! [SY262: $i] :
( ~ ( r2 @ sK29_SX0 @ SY262 )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SY262 @ SY263 )
| ( sK30_SY215 @ SY263 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[486]) ).
thf(506,plain,
! [SV106: $i > $o,SV88: $i] :
( ( ( ~ ~ ! [SY219: $i] :
( ~ ( r2 @ SV88 @ SY219 )
| ( SV106 @ SY219 ) ) )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(507,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ( ~ ! [SY222: $i] :
( ~ ( r2 @ SV89 @ SY222 )
| ( SV107 @ SY222 ) ) )
= $true )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(508,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ( ~ ! [SY225: $i] :
( ~ ( r3 @ SV90 @ SY225 )
| ( SV108 @ SY225 ) ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(509,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ( ~ ! [SY228: $i] :
( ~ ( r1 @ SV91 @ SY228 )
| ( SV109 @ SY228 ) ) )
= $true )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(510,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ( ~ ! [SY231: $i] :
( ~ ( r3 @ SV92 @ SY231 )
| ( SV110 @ SY231 ) ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(511,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ! [SY233: $i] :
( ~ ( r2 @ SV93 @ SY233 )
| ( SV111 @ SY233 ) ) )
= $true )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(512,plain,
! [SV112: $i > $o,SV94: $i] :
( ( ( ~ ~ ! [SY235: $i] :
( ~ ( r3 @ SV94 @ SY235 )
| ( SV112 @ SY235 ) ) )
= $true )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(513,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ( ~ ! [SY238: $i] :
( ~ ( r3 @ SV95 @ SY238 )
| ( SV113 @ SY238 ) ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(514,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ( ~ ! [SY241: $i] :
( ~ ( r3 @ SV96 @ SY241 )
| ( SV114 @ SY241 ) ) )
= $true )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(515,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ( ~ ! [SY243: $i] :
( ~ ( r1 @ SV97 @ SY243 )
| ( SV115 @ SY243 ) ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(516,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ( ~ ! [SY246: $i] :
( ~ ( r2 @ SV98 @ SY246 )
| ( SV116 @ SY246 ) ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(517,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ( ~ ! [SY248: $i] :
( ~ ( r1 @ SV99 @ SY248 )
| ( SV117 @ SY248 ) ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(518,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ( ~ ! [SY251: $i] :
( ~ ( r2 @ SV100 @ SY251 )
| ( SV118 @ SY251 ) ) )
= $true )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(519,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ! [SY254: $i] :
( ~ ( r3 @ SV101 @ SY254 )
| ( SV119 @ SY254 ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(520,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ( ~ ! [SY256: $i] :
( ~ ( r3 @ SV102 @ SY256 )
| ( SV120 @ SY256 ) ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[501]) ).
thf(521,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ! [SY259: $i] :
( ~ ( r1 @ SV103 @ SY259 )
| ( SV121 @ SY259 ) ) )
= $true )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(522,plain,
! [SV104: $i > $o,SV86: $i] :
( ( ( ~ ! [SY209: $i] :
( ~ ( r1 @ SV86 @ SY209 )
| ( SV104 @ SY209 ) ) )
= $false )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(523,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ( ! [SY212: $i] :
( ~ ( r2 @ SV87 @ SY212 )
| ( SV105 @ SY212 ) ) )
= $false )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(524,plain,
( ( ~ ~ ! [SY261: $i] :
( ~ ( r1 @ sK29_SX0 @ SY261 )
| ( sK30_SY215 @ SY261 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(525,plain,
( ( ! [SY262: $i] :
( ~ ( r2 @ sK29_SX0 @ SY262 )
| ~ ! [SY263: $i] :
( ~ ( r1 @ SY262 @ SY263 )
| ( sK30_SY215 @ SY263 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(526,plain,
! [SV106: $i > $o,SV88: $i] :
( ( ( ~ ! [SY219: $i] :
( ~ ( r2 @ SV88 @ SY219 )
| ( SV106 @ SY219 ) ) )
= $false )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(527,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ( ! [SY222: $i] :
( ~ ( r2 @ SV89 @ SY222 )
| ( SV107 @ SY222 ) ) )
= $false )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(528,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ( ! [SY225: $i] :
( ~ ( r3 @ SV90 @ SY225 )
| ( SV108 @ SY225 ) ) )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(529,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ( ! [SY228: $i] :
( ~ ( r1 @ SV91 @ SY228 )
| ( SV109 @ SY228 ) ) )
= $false )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(530,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ( ! [SY231: $i] :
( ~ ( r3 @ SV92 @ SY231 )
| ( SV110 @ SY231 ) ) )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(531,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ! [SY233: $i] :
( ~ ( r2 @ SV93 @ SY233 )
| ( SV111 @ SY233 ) ) )
= $false )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(532,plain,
! [SV112: $i > $o,SV94: $i] :
( ( ( ~ ! [SY235: $i] :
( ~ ( r3 @ SV94 @ SY235 )
| ( SV112 @ SY235 ) ) )
= $false )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(533,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ( ! [SY238: $i] :
( ~ ( r3 @ SV95 @ SY238 )
| ( SV113 @ SY238 ) ) )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(534,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ( ! [SY241: $i] :
( ~ ( r3 @ SV96 @ SY241 )
| ( SV114 @ SY241 ) ) )
= $false )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(535,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ( ! [SY243: $i] :
( ~ ( r1 @ SV97 @ SY243 )
| ( SV115 @ SY243 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(536,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ( ! [SY246: $i] :
( ~ ( r2 @ SV98 @ SY246 )
| ( SV116 @ SY246 ) ) )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(537,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ( ! [SY248: $i] :
( ~ ( r1 @ SV99 @ SY248 )
| ( SV117 @ SY248 ) ) )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(538,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ( ! [SY251: $i] :
( ~ ( r2 @ SV100 @ SY251 )
| ( SV118 @ SY251 ) ) )
= $false )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(539,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ! [SY254: $i] :
( ~ ( r3 @ SV101 @ SY254 )
| ( SV119 @ SY254 ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(540,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ( ! [SY256: $i] :
( ~ ( r3 @ SV102 @ SY256 )
| ( SV120 @ SY256 ) ) )
= $false )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(541,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ! [SY259: $i] :
( ~ ( r1 @ SV103 @ SY259 )
| ( SV121 @ SY259 ) ) )
= $false )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(542,plain,
! [SV104: $i > $o,SV86: $i] :
( ( ( ! [SY209: $i] :
( ~ ( r1 @ SV86 @ SY209 )
| ( SV104 @ SY209 ) ) )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(543,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ( ~ ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
| ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) ) )
= $false )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[523]) ).
thf(544,plain,
( ( ~ ! [SY261: $i] :
( ~ ( r1 @ sK29_SX0 @ SY261 )
| ( sK30_SY215 @ SY261 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(545,plain,
( ( ~ ( r2 @ sK29_SX0 @ sK32_SY262 )
| ~ ! [SY264: $i] :
( ~ ( r1 @ sK32_SY262 @ SY264 )
| ( sK30_SY215 @ SY264 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[525]) ).
thf(546,plain,
! [SV106: $i > $o,SV88: $i] :
( ( ( ! [SY219: $i] :
( ~ ( r2 @ SV88 @ SY219 )
| ( SV106 @ SY219 ) ) )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(547,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ( ~ ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
| ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) ) )
= $false )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[527]) ).
thf(548,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ( ~ ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
| ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) ) )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[528]) ).
thf(549,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ( ~ ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
| ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) ) )
= $false )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[529]) ).
thf(550,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ( ~ ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) )
| ( SV110 @ ( sK36_SY231 @ SV110 @ SV92 ) ) )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(551,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
| ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) ) )
= $false )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[531]) ).
thf(552,plain,
! [SV112: $i > $o,SV94: $i] :
( ( ( ! [SY235: $i] :
( ~ ( r3 @ SV94 @ SY235 )
| ( SV112 @ SY235 ) ) )
= $true )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(553,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
| ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) ) )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[533]) ).
thf(554,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ( ~ ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) )
| ( SV114 @ ( sK39_SY241 @ SV114 @ SV96 ) ) )
= $false )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[534]) ).
thf(555,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ( ~ ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
| ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[535]) ).
thf(556,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ( ~ ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) )
| ( SV116 @ ( sK41_SY246 @ SV116 @ SV98 ) ) )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(557,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
| ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) ) )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[537]) ).
thf(558,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
| ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) ) )
= $false )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[538]) ).
thf(559,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
| ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[539]) ).
thf(560,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ( ~ ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
| ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) ) )
= $false )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[540]) ).
thf(561,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
| ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) ) )
= $false )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[541]) ).
thf(562,plain,
! [SV104: $i > $o,SV122: $i,SV86: $i] :
( ( ( ~ ( r1 @ SV86 @ SV122 )
| ( SV104 @ SV122 ) )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(563,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ( ~ ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) ) )
= $false )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(564,plain,
! [SV87: $i,SV105: $i > $o] :
( ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[543]) ).
thf(565,plain,
( ( ! [SY261: $i] :
( ~ ( r1 @ sK29_SX0 @ SY261 )
| ( sK30_SY215 @ SY261 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(566,plain,
( ( ~ ( r2 @ sK29_SX0 @ sK32_SY262 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(567,plain,
( ( ~ ! [SY264: $i] :
( ~ ( r1 @ sK32_SY262 @ SY264 )
| ( sK30_SY215 @ SY264 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[545]) ).
thf(568,plain,
! [SV106: $i > $o,SV123: $i,SV88: $i] :
( ( ( ~ ( r2 @ SV88 @ SV123 )
| ( SV106 @ SV123 ) )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(569,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ( ~ ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) ) )
= $false )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(570,plain,
! [SV89: $i,SV107: $i > $o] :
( ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[547]) ).
thf(571,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ( ~ ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) ) )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(572,plain,
! [SV90: $i,SV108: $i > $o] :
( ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(573,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ( ~ ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) ) )
= $false )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(574,plain,
! [SV91: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(575,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ( ~ ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) ) )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(576,plain,
! [SV92: $i,SV110: $i > $o] :
( ( ( SV110 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $false )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(577,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) ) )
= $false )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(578,plain,
! [SV93: $i,SV111: $i > $o] :
( ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(579,plain,
! [SV112: $i > $o,SV124: $i,SV94: $i] :
( ( ( ~ ( r3 @ SV94 @ SV124 )
| ( SV112 @ SV124 ) )
= $true )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(580,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) ) )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(581,plain,
! [SV95: $i,SV113: $i > $o] :
( ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(582,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ( ~ ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) ) )
= $false )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(583,plain,
! [SV96: $i,SV114: $i > $o] :
( ( ( SV114 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $false )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(584,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ( ~ ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(585,plain,
! [SV97: $i,SV115: $i > $o] :
( ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(586,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ( ~ ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) ) )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(587,plain,
! [SV98: $i,SV116: $i > $o] :
( ( ( SV116 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $false )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(588,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) ) )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(589,plain,
! [SV99: $i,SV117: $i > $o] :
( ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(590,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) ) )
= $false )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(591,plain,
! [SV100: $i,SV118: $i > $o] :
( ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[558]) ).
thf(592,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(593,plain,
! [SV101: $i,SV119: $i > $o] :
( ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(594,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ( ~ ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) ) )
= $false )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(595,plain,
! [SV102: $i,SV120: $i > $o] :
( ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(596,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) ) )
= $false )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(597,plain,
! [SV103: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(598,plain,
! [SV104: $i > $o,SV122: $i,SV86: $i] :
( ( ( ~ ( r1 @ SV86 @ SV122 ) )
= $true )
| ( ( SV104 @ SV122 )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(599,plain,
! [SV105: $i > $o,SV87: $i] :
( ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true )
| ( ( ! [SY213: $i] :
( ~ ( r3 @ SV87 @ SY213 )
| ! [SY214: $i] :
( ~ ( r2 @ SY213 @ SY214 )
| ( SV105 @ SY214 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(600,plain,
! [SV105: $i > $o,SV125: $i,SV87: $i] :
( ( ( ~ ( r3 @ SV87 @ SV125 )
| ! [SY265: $i] :
( ~ ( r2 @ SV125 @ SY265 )
| ( SV105 @ SY265 ) ) )
= $true )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(601,plain,
( ( ~ ( r1 @ sK29_SX0 @ sK47_SY261 )
| ( sK30_SY215 @ sK47_SY261 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[565]) ).
thf(602,plain,
( ( r2 @ sK29_SX0 @ sK32_SY262 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(603,plain,
( ( ! [SY264: $i] :
( ~ ( r1 @ sK32_SY262 @ SY264 )
| ( sK30_SY215 @ SY264 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(604,plain,
! [SV106: $i > $o,SV123: $i,SV88: $i] :
( ( ( ~ ( r2 @ SV88 @ SV123 ) )
= $true )
| ( ( SV106 @ SV123 )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(605,plain,
! [SV107: $i > $o,SV89: $i] :
( ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true )
| ( ( ! [SY223: $i] :
( ~ ( r1 @ SV89 @ SY223 )
| ! [SY224: $i] :
( ~ ( r2 @ SY223 @ SY224 )
| ( SV107 @ SY224 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(606,plain,
! [SV107: $i > $o,SV126: $i,SV89: $i] :
( ( ( ~ ( r1 @ SV89 @ SV126 )
| ! [SY266: $i] :
( ~ ( r2 @ SV126 @ SY266 )
| ( SV107 @ SY266 ) ) )
= $true )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(607,plain,
! [SV108: $i > $o,SV90: $i] :
( ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true )
| ( ( ! [SY226: $i] :
( ~ ( r2 @ SV90 @ SY226 )
| ! [SY227: $i] :
( ~ ( r3 @ SY226 @ SY227 )
| ( SV108 @ SY227 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[571]) ).
thf(608,plain,
! [SV108: $i > $o,SV127: $i,SV90: $i] :
( ( ( ~ ( r2 @ SV90 @ SV127 )
| ! [SY267: $i] :
( ~ ( r3 @ SV127 @ SY267 )
| ( SV108 @ SY267 ) ) )
= $true )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(609,plain,
! [SV109: $i > $o,SV91: $i] :
( ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true )
| ( ( ! [SY229: $i] :
( ~ ( r3 @ SV91 @ SY229 )
| ! [SY230: $i] :
( ~ ( r1 @ SY229 @ SY230 )
| ( SV109 @ SY230 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(610,plain,
! [SV109: $i > $o,SV128: $i,SV91: $i] :
( ( ( ~ ( r3 @ SV91 @ SV128 )
| ! [SY268: $i] :
( ~ ( r1 @ SV128 @ SY268 )
| ( SV109 @ SY268 ) ) )
= $true )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(611,plain,
! [SV110: $i > $o,SV92: $i] :
( ( ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $true )
| ( ( ! [SY232: $i] :
( ~ ( r1 @ SV92 @ SY232 )
| ( SV110 @ SY232 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(612,plain,
! [SV110: $i > $o,SV129: $i,SV92: $i] :
( ( ( ~ ( r1 @ SV92 @ SV129 )
| ( SV110 @ SV129 ) )
= $true )
| ( ( SV110 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(613,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true )
| ( ( ~ ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[577]) ).
thf(614,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $false )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(615,plain,
! [SV112: $i > $o,SV124: $i,SV94: $i] :
( ( ( ~ ( r3 @ SV94 @ SV124 ) )
= $true )
| ( ( SV112 @ SV124 )
= $true )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(616,plain,
! [SV113: $i > $o,SV95: $i] :
( ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true )
| ( ( ! [SY239: $i] :
( ~ ( r3 @ SV95 @ SY239 )
| ! [SY240: $i] :
( ~ ( r3 @ SY239 @ SY240 )
| ( SV113 @ SY240 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(617,plain,
! [SV113: $i > $o,SV130: $i,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ SV130 )
| ! [SY269: $i] :
( ~ ( r3 @ SV130 @ SY269 )
| ( SV113 @ SY269 ) ) )
= $true )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(618,plain,
! [SV114: $i > $o,SV96: $i] :
( ( ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $true )
| ( ( ! [SY242: $i] :
( ~ ( r2 @ SV96 @ SY242 )
| ( SV114 @ SY242 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(619,plain,
! [SV114: $i > $o,SV131: $i,SV96: $i] :
( ( ( ~ ( r2 @ SV96 @ SV131 )
| ( SV114 @ SV131 ) )
= $true )
| ( ( SV114 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(620,plain,
! [SV115: $i > $o,SV97: $i] :
( ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true )
| ( ( ! [SY244: $i] :
( ~ ( r2 @ SV97 @ SY244 )
| ! [SY245: $i] :
( ~ ( r1 @ SY244 @ SY245 )
| ( SV115 @ SY245 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(621,plain,
! [SV115: $i > $o,SV132: $i,SV97: $i] :
( ( ( ~ ( r2 @ SV97 @ SV132 )
| ! [SY270: $i] :
( ~ ( r1 @ SV132 @ SY270 )
| ( SV115 @ SY270 ) ) )
= $true )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(622,plain,
! [SV116: $i > $o,SV98: $i] :
( ( ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $true )
| ( ( ! [SY247: $i] :
( ~ ( r1 @ SV98 @ SY247 )
| ( SV116 @ SY247 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(623,plain,
! [SV116: $i > $o,SV133: $i,SV98: $i] :
( ( ( ~ ( r1 @ SV98 @ SV133 )
| ( SV116 @ SV133 ) )
= $true )
| ( ( SV116 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(624,plain,
! [SV117: $i > $o,SV99: $i] :
( ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true )
| ( ( ! [SY249: $i] :
( ~ ( r1 @ SV99 @ SY249 )
| ! [SY250: $i] :
( ~ ( r1 @ SY249 @ SY250 )
| ( SV117 @ SY250 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(625,plain,
! [SV117: $i > $o,SV134: $i,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ SV134 )
| ! [SY271: $i] :
( ~ ( r1 @ SV134 @ SY271 )
| ( SV117 @ SY271 ) ) )
= $true )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(626,plain,
! [SV118: $i > $o,SV100: $i] :
( ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true )
| ( ( ! [SY252: $i] :
( ~ ( r2 @ SV100 @ SY252 )
| ! [SY253: $i] :
( ~ ( r2 @ SY252 @ SY253 )
| ( SV118 @ SY253 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(627,plain,
! [SV118: $i > $o,SV135: $i,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ SV135 )
| ! [SY272: $i] :
( ~ ( r2 @ SV135 @ SY272 )
| ( SV118 @ SY272 ) ) )
= $true )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(628,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true )
| ( ( ~ ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(629,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $false )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(630,plain,
! [SV120: $i > $o,SV102: $i] :
( ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true )
| ( ( ! [SY257: $i] :
( ~ ( r1 @ SV102 @ SY257 )
| ! [SY258: $i] :
( ~ ( r3 @ SY257 @ SY258 )
| ( SV120 @ SY258 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(631,plain,
! [SV120: $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( r1 @ SV102 @ SV136 )
| ! [SY273: $i] :
( ~ ( r3 @ SV136 @ SY273 )
| ( SV120 @ SY273 ) ) )
= $true )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(632,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true )
| ( ( ~ ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(633,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $false )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(634,plain,
! [SV104: $i > $o,SV122: $i,SV86: $i] :
( ( ( r1 @ SV86 @ SV122 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( ! [SY210: $i] :
( ~ ( r1 @ SV86 @ SY210 )
| ~ ! [SY211: $i] :
( ~ ( r1 @ SY210 @ SY211 )
| ( SV104 @ SY211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(635,plain,
! [SV105: $i > $o,SV137: $i,SV87: $i] :
( ( ( ~ ( r3 @ SV87 @ SV137 )
| ! [SY274: $i] :
( ~ ( r2 @ SV137 @ SY274 )
| ( SV105 @ SY274 ) ) )
= $true )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(636,plain,
! [SV105: $i > $o,SV125: $i,SV87: $i] :
( ( ( ~ ( r3 @ SV87 @ SV125 ) )
= $true )
| ( ( ! [SY265: $i] :
( ~ ( r2 @ SV125 @ SY265 )
| ( SV105 @ SY265 ) ) )
= $true )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(637,plain,
( ( ~ ( r1 @ sK29_SX0 @ sK47_SY261 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(638,plain,
( ( sK30_SY215 @ sK47_SY261 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(639,plain,
! [SV138: $i] :
( ( ~ ( r1 @ sK32_SY262 @ SV138 )
| ( sK30_SY215 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(640,plain,
! [SV106: $i > $o,SV123: $i,SV88: $i] :
( ( ( r2 @ SV88 @ SV123 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( ! [SY220: $i] :
( ~ ( r2 @ SV88 @ SY220 )
| ~ ! [SY221: $i] :
( ~ ( r2 @ SY220 @ SY221 )
| ( SV106 @ SY221 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[604]) ).
thf(641,plain,
! [SV107: $i > $o,SV139: $i,SV89: $i] :
( ( ( ~ ( r1 @ SV89 @ SV139 )
| ! [SY275: $i] :
( ~ ( r2 @ SV139 @ SY275 )
| ( SV107 @ SY275 ) ) )
= $true )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(642,plain,
! [SV107: $i > $o,SV126: $i,SV89: $i] :
( ( ( ~ ( r1 @ SV89 @ SV126 ) )
= $true )
| ( ( ! [SY266: $i] :
( ~ ( r2 @ SV126 @ SY266 )
| ( SV107 @ SY266 ) ) )
= $true )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(643,plain,
! [SV108: $i > $o,SV140: $i,SV90: $i] :
( ( ( ~ ( r2 @ SV90 @ SV140 )
| ! [SY276: $i] :
( ~ ( r3 @ SV140 @ SY276 )
| ( SV108 @ SY276 ) ) )
= $true )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(644,plain,
! [SV108: $i > $o,SV127: $i,SV90: $i] :
( ( ( ~ ( r2 @ SV90 @ SV127 ) )
= $true )
| ( ( ! [SY267: $i] :
( ~ ( r3 @ SV127 @ SY267 )
| ( SV108 @ SY267 ) ) )
= $true )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(645,plain,
! [SV109: $i > $o,SV141: $i,SV91: $i] :
( ( ( ~ ( r3 @ SV91 @ SV141 )
| ! [SY277: $i] :
( ~ ( r1 @ SV141 @ SY277 )
| ( SV109 @ SY277 ) ) )
= $true )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(646,plain,
! [SV109: $i > $o,SV128: $i,SV91: $i] :
( ( ( ~ ( r3 @ SV91 @ SV128 ) )
= $true )
| ( ( ! [SY268: $i] :
( ~ ( r1 @ SV128 @ SY268 )
| ( SV109 @ SY268 ) ) )
= $true )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[610]) ).
thf(647,plain,
! [SV110: $i > $o,SV142: $i,SV92: $i] :
( ( ( ~ ( r1 @ SV92 @ SV142 )
| ( SV110 @ SV142 ) )
= $true )
| ( ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(648,plain,
! [SV110: $i > $o,SV129: $i,SV92: $i] :
( ( ( ~ ( r1 @ SV92 @ SV129 ) )
= $true )
| ( ( SV110 @ SV129 )
= $true )
| ( ( SV110 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(649,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ! [SY234: $i] :
( ~ ( r2 @ SV93 @ SY234 )
| ~ ( SV111 @ SY234 ) ) )
= $false )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(650,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK48_SY234 @ SV111 @ SV93 ) )
| ~ ( SV111 @ ( sK48_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[614]) ).
thf(651,plain,
! [SV112: $i > $o,SV124: $i,SV94: $i] :
( ( ( r3 @ SV94 @ SV124 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( ! [SY236: $i] :
( ~ ( r3 @ SV94 @ SY236 )
| ~ ! [SY237: $i] :
( ~ ( r3 @ SY236 @ SY237 )
| ( SV112 @ SY237 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(652,plain,
! [SV113: $i > $o,SV143: $i,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ SV143 )
| ! [SY278: $i] :
( ~ ( r3 @ SV143 @ SY278 )
| ( SV113 @ SY278 ) ) )
= $true )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(653,plain,
! [SV113: $i > $o,SV130: $i,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ SV130 ) )
= $true )
| ( ( ! [SY269: $i] :
( ~ ( r3 @ SV130 @ SY269 )
| ( SV113 @ SY269 ) ) )
= $true )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[617]) ).
thf(654,plain,
! [SV114: $i > $o,SV144: $i,SV96: $i] :
( ( ( ~ ( r2 @ SV96 @ SV144 )
| ( SV114 @ SV144 ) )
= $true )
| ( ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(655,plain,
! [SV114: $i > $o,SV131: $i,SV96: $i] :
( ( ( ~ ( r2 @ SV96 @ SV131 ) )
= $true )
| ( ( SV114 @ SV131 )
= $true )
| ( ( SV114 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[619]) ).
thf(656,plain,
! [SV115: $i > $o,SV145: $i,SV97: $i] :
( ( ( ~ ( r2 @ SV97 @ SV145 )
| ! [SY279: $i] :
( ~ ( r1 @ SV145 @ SY279 )
| ( SV115 @ SY279 ) ) )
= $true )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(657,plain,
! [SV115: $i > $o,SV132: $i,SV97: $i] :
( ( ( ~ ( r2 @ SV97 @ SV132 ) )
= $true )
| ( ( ! [SY270: $i] :
( ~ ( r1 @ SV132 @ SY270 )
| ( SV115 @ SY270 ) ) )
= $true )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[621]) ).
thf(658,plain,
! [SV116: $i > $o,SV146: $i,SV98: $i] :
( ( ( ~ ( r1 @ SV98 @ SV146 )
| ( SV116 @ SV146 ) )
= $true )
| ( ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(659,plain,
! [SV116: $i > $o,SV133: $i,SV98: $i] :
( ( ( ~ ( r1 @ SV98 @ SV133 ) )
= $true )
| ( ( SV116 @ SV133 )
= $true )
| ( ( SV116 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[623]) ).
thf(660,plain,
! [SV117: $i > $o,SV147: $i,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ SV147 )
| ! [SY280: $i] :
( ~ ( r1 @ SV147 @ SY280 )
| ( SV117 @ SY280 ) ) )
= $true )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(661,plain,
! [SV117: $i > $o,SV134: $i,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ SV134 ) )
= $true )
| ( ( ! [SY271: $i] :
( ~ ( r1 @ SV134 @ SY271 )
| ( SV117 @ SY271 ) ) )
= $true )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[625]) ).
thf(662,plain,
! [SV118: $i > $o,SV148: $i,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ SV148 )
| ! [SY281: $i] :
( ~ ( r2 @ SV148 @ SY281 )
| ( SV118 @ SY281 ) ) )
= $true )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(663,plain,
! [SV118: $i > $o,SV135: $i,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ SV135 ) )
= $true )
| ( ( ! [SY272: $i] :
( ~ ( r2 @ SV135 @ SY272 )
| ( SV118 @ SY272 ) ) )
= $true )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(664,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ! [SY255: $i] :
( ~ ( r3 @ SV101 @ SY255 )
| ~ ( SV119 @ SY255 ) ) )
= $false )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(665,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK49_SY255 @ SV119 @ SV101 ) )
| ~ ( SV119 @ ( sK49_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[629]) ).
thf(666,plain,
! [SV120: $i > $o,SV149: $i,SV102: $i] :
( ( ( ~ ( r1 @ SV102 @ SV149 )
| ! [SY282: $i] :
( ~ ( r3 @ SV149 @ SY282 )
| ( SV120 @ SY282 ) ) )
= $true )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(667,plain,
! [SV120: $i > $o,SV136: $i,SV102: $i] :
( ( ( ~ ( r1 @ SV102 @ SV136 ) )
= $true )
| ( ( ! [SY273: $i] :
( ~ ( r3 @ SV136 @ SY273 )
| ( SV120 @ SY273 ) ) )
= $true )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(668,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ! [SY260: $i] :
( ~ ( r1 @ SV103 @ SY260 )
| ~ ( SV121 @ SY260 ) ) )
= $false )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(669,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK50_SY260 @ SV121 @ SV103 ) )
| ~ ( SV121 @ ( sK50_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[633]) ).
thf(670,plain,
! [SV122: $i,SV104: $i > $o,SV150: $i,SV86: $i] :
( ( ( ~ ( r1 @ SV86 @ SV150 )
| ~ ! [SY283: $i] :
( ~ ( r1 @ SV150 @ SY283 )
| ( SV104 @ SY283 ) ) )
= $true )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(671,plain,
! [SV105: $i > $o,SV137: $i,SV87: $i] :
( ( ( ~ ( r3 @ SV87 @ SV137 ) )
= $true )
| ( ( ! [SY274: $i] :
( ~ ( r2 @ SV137 @ SY274 )
| ( SV105 @ SY274 ) ) )
= $true )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[635]) ).
thf(672,plain,
! [SV105: $i > $o,SV125: $i,SV87: $i] :
( ( ( r3 @ SV87 @ SV125 )
= $false )
| ( ( ! [SY265: $i] :
( ~ ( r2 @ SV125 @ SY265 )
| ( SV105 @ SY265 ) ) )
= $true )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(673,plain,
( ( r1 @ sK29_SX0 @ sK47_SY261 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(674,plain,
! [SV138: $i] :
( ( ( ~ ( r1 @ sK32_SY262 @ SV138 ) )
= $true )
| ( ( sK30_SY215 @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(675,plain,
! [SV123: $i,SV106: $i > $o,SV151: $i,SV88: $i] :
( ( ( ~ ( r2 @ SV88 @ SV151 )
| ~ ! [SY284: $i] :
( ~ ( r2 @ SV151 @ SY284 )
| ( SV106 @ SY284 ) ) )
= $true )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(676,plain,
! [SV107: $i > $o,SV139: $i,SV89: $i] :
( ( ( ~ ( r1 @ SV89 @ SV139 ) )
= $true )
| ( ( ! [SY275: $i] :
( ~ ( r2 @ SV139 @ SY275 )
| ( SV107 @ SY275 ) ) )
= $true )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(677,plain,
! [SV107: $i > $o,SV126: $i,SV89: $i] :
( ( ( r1 @ SV89 @ SV126 )
= $false )
| ( ( ! [SY266: $i] :
( ~ ( r2 @ SV126 @ SY266 )
| ( SV107 @ SY266 ) ) )
= $true )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(678,plain,
! [SV108: $i > $o,SV140: $i,SV90: $i] :
( ( ( ~ ( r2 @ SV90 @ SV140 ) )
= $true )
| ( ( ! [SY276: $i] :
( ~ ( r3 @ SV140 @ SY276 )
| ( SV108 @ SY276 ) ) )
= $true )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(679,plain,
! [SV108: $i > $o,SV127: $i,SV90: $i] :
( ( ( r2 @ SV90 @ SV127 )
= $false )
| ( ( ! [SY267: $i] :
( ~ ( r3 @ SV127 @ SY267 )
| ( SV108 @ SY267 ) ) )
= $true )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(680,plain,
! [SV109: $i > $o,SV141: $i,SV91: $i] :
( ( ( ~ ( r3 @ SV91 @ SV141 ) )
= $true )
| ( ( ! [SY277: $i] :
( ~ ( r1 @ SV141 @ SY277 )
| ( SV109 @ SY277 ) ) )
= $true )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(681,plain,
! [SV109: $i > $o,SV128: $i,SV91: $i] :
( ( ( r3 @ SV91 @ SV128 )
= $false )
| ( ( ! [SY268: $i] :
( ~ ( r1 @ SV128 @ SY268 )
| ( SV109 @ SY268 ) ) )
= $true )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(682,plain,
! [SV110: $i > $o,SV142: $i,SV92: $i] :
( ( ( ~ ( r1 @ SV92 @ SV142 ) )
= $true )
| ( ( SV110 @ SV142 )
= $true )
| ( ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(683,plain,
! [SV110: $i > $o,SV129: $i,SV92: $i] :
( ( ( r1 @ SV92 @ SV129 )
= $false )
| ( ( SV110 @ SV129 )
= $true )
| ( ( SV110 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(684,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK51_SY234 @ SV111 @ SV93 ) )
| ~ ( SV111 @ ( sK51_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[649]) ).
thf(685,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK48_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(686,plain,
! [SV93: $i,SV111: $i > $o] :
( ( ( ~ ( SV111 @ ( sK48_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(687,plain,
! [SV124: $i,SV112: $i > $o,SV152: $i,SV94: $i] :
( ( ( ~ ( r3 @ SV94 @ SV152 )
| ~ ! [SY285: $i] :
( ~ ( r3 @ SV152 @ SY285 )
| ( SV112 @ SY285 ) ) )
= $true )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(688,plain,
! [SV113: $i > $o,SV143: $i,SV95: $i] :
( ( ( ~ ( r3 @ SV95 @ SV143 ) )
= $true )
| ( ( ! [SY278: $i] :
( ~ ( r3 @ SV143 @ SY278 )
| ( SV113 @ SY278 ) ) )
= $true )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(689,plain,
! [SV113: $i > $o,SV130: $i,SV95: $i] :
( ( ( r3 @ SV95 @ SV130 )
= $false )
| ( ( ! [SY269: $i] :
( ~ ( r3 @ SV130 @ SY269 )
| ( SV113 @ SY269 ) ) )
= $true )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(690,plain,
! [SV114: $i > $o,SV144: $i,SV96: $i] :
( ( ( ~ ( r2 @ SV96 @ SV144 ) )
= $true )
| ( ( SV114 @ SV144 )
= $true )
| ( ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(691,plain,
! [SV114: $i > $o,SV131: $i,SV96: $i] :
( ( ( r2 @ SV96 @ SV131 )
= $false )
| ( ( SV114 @ SV131 )
= $true )
| ( ( SV114 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(692,plain,
! [SV115: $i > $o,SV145: $i,SV97: $i] :
( ( ( ~ ( r2 @ SV97 @ SV145 ) )
= $true )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV145 @ SY279 )
| ( SV115 @ SY279 ) ) )
= $true )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(693,plain,
! [SV115: $i > $o,SV132: $i,SV97: $i] :
( ( ( r2 @ SV97 @ SV132 )
= $false )
| ( ( ! [SY270: $i] :
( ~ ( r1 @ SV132 @ SY270 )
| ( SV115 @ SY270 ) ) )
= $true )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(694,plain,
! [SV116: $i > $o,SV146: $i,SV98: $i] :
( ( ( ~ ( r1 @ SV98 @ SV146 ) )
= $true )
| ( ( SV116 @ SV146 )
= $true )
| ( ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(695,plain,
! [SV116: $i > $o,SV133: $i,SV98: $i] :
( ( ( r1 @ SV98 @ SV133 )
= $false )
| ( ( SV116 @ SV133 )
= $true )
| ( ( SV116 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(696,plain,
! [SV117: $i > $o,SV147: $i,SV99: $i] :
( ( ( ~ ( r1 @ SV99 @ SV147 ) )
= $true )
| ( ( ! [SY280: $i] :
( ~ ( r1 @ SV147 @ SY280 )
| ( SV117 @ SY280 ) ) )
= $true )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(697,plain,
! [SV117: $i > $o,SV134: $i,SV99: $i] :
( ( ( r1 @ SV99 @ SV134 )
= $false )
| ( ( ! [SY271: $i] :
( ~ ( r1 @ SV134 @ SY271 )
| ( SV117 @ SY271 ) ) )
= $true )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(698,plain,
! [SV118: $i > $o,SV148: $i,SV100: $i] :
( ( ( ~ ( r2 @ SV100 @ SV148 ) )
= $true )
| ( ( ! [SY281: $i] :
( ~ ( r2 @ SV148 @ SY281 )
| ( SV118 @ SY281 ) ) )
= $true )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(699,plain,
! [SV118: $i > $o,SV135: $i,SV100: $i] :
( ( ( r2 @ SV100 @ SV135 )
= $false )
| ( ( ! [SY272: $i] :
( ~ ( r2 @ SV135 @ SY272 )
| ( SV118 @ SY272 ) ) )
= $true )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(700,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK52_SY255 @ SV119 @ SV101 ) )
| ~ ( SV119 @ ( sK52_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[664]) ).
thf(701,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK49_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(702,plain,
! [SV101: $i,SV119: $i > $o] :
( ( ( ~ ( SV119 @ ( sK49_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(703,plain,
! [SV120: $i > $o,SV149: $i,SV102: $i] :
( ( ( ~ ( r1 @ SV102 @ SV149 ) )
= $true )
| ( ( ! [SY282: $i] :
( ~ ( r3 @ SV149 @ SY282 )
| ( SV120 @ SY282 ) ) )
= $true )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(704,plain,
! [SV120: $i > $o,SV136: $i,SV102: $i] :
( ( ( r1 @ SV102 @ SV136 )
= $false )
| ( ( ! [SY273: $i] :
( ~ ( r3 @ SV136 @ SY273 )
| ( SV120 @ SY273 ) ) )
= $true )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(705,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK53_SY260 @ SV121 @ SV103 ) )
| ~ ( SV121 @ ( sK53_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[668]) ).
thf(706,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK50_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(707,plain,
! [SV103: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK50_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[669]) ).
thf(708,plain,
! [SV122: $i,SV104: $i > $o,SV150: $i,SV86: $i] :
( ( ( ~ ( r1 @ SV86 @ SV150 ) )
= $true )
| ( ( ~ ! [SY283: $i] :
( ~ ( r1 @ SV150 @ SY283 )
| ( SV104 @ SY283 ) ) )
= $true )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(709,plain,
! [SV105: $i > $o,SV137: $i,SV87: $i] :
( ( ( r3 @ SV87 @ SV137 )
= $false )
| ( ( ! [SY274: $i] :
( ~ ( r2 @ SV137 @ SY274 )
| ( SV105 @ SY274 ) ) )
= $true )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(710,plain,
! [SV87: $i,SV105: $i > $o,SV153: $i,SV125: $i] :
( ( ( ~ ( r2 @ SV125 @ SV153 )
| ( SV105 @ SV153 ) )
= $true )
| ( ( r3 @ SV87 @ SV125 )
= $false )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(711,plain,
! [SV138: $i] :
( ( ( r1 @ sK32_SY262 @ SV138 )
= $false )
| ( ( sK30_SY215 @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(712,plain,
! [SV123: $i,SV106: $i > $o,SV151: $i,SV88: $i] :
( ( ( ~ ( r2 @ SV88 @ SV151 ) )
= $true )
| ( ( ~ ! [SY284: $i] :
( ~ ( r2 @ SV151 @ SY284 )
| ( SV106 @ SY284 ) ) )
= $true )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(713,plain,
! [SV107: $i > $o,SV139: $i,SV89: $i] :
( ( ( r1 @ SV89 @ SV139 )
= $false )
| ( ( ! [SY275: $i] :
( ~ ( r2 @ SV139 @ SY275 )
| ( SV107 @ SY275 ) ) )
= $true )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(714,plain,
! [SV89: $i,SV107: $i > $o,SV154: $i,SV126: $i] :
( ( ( ~ ( r2 @ SV126 @ SV154 )
| ( SV107 @ SV154 ) )
= $true )
| ( ( r1 @ SV89 @ SV126 )
= $false )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(715,plain,
! [SV108: $i > $o,SV140: $i,SV90: $i] :
( ( ( r2 @ SV90 @ SV140 )
= $false )
| ( ( ! [SY276: $i] :
( ~ ( r3 @ SV140 @ SY276 )
| ( SV108 @ SY276 ) ) )
= $true )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(716,plain,
! [SV90: $i,SV108: $i > $o,SV155: $i,SV127: $i] :
( ( ( ~ ( r3 @ SV127 @ SV155 )
| ( SV108 @ SV155 ) )
= $true )
| ( ( r2 @ SV90 @ SV127 )
= $false )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(717,plain,
! [SV109: $i > $o,SV141: $i,SV91: $i] :
( ( ( r3 @ SV91 @ SV141 )
= $false )
| ( ( ! [SY277: $i] :
( ~ ( r1 @ SV141 @ SY277 )
| ( SV109 @ SY277 ) ) )
= $true )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(718,plain,
! [SV91: $i,SV109: $i > $o,SV156: $i,SV128: $i] :
( ( ( ~ ( r1 @ SV128 @ SV156 )
| ( SV109 @ SV156 ) )
= $true )
| ( ( r3 @ SV91 @ SV128 )
= $false )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(719,plain,
! [SV110: $i > $o,SV142: $i,SV92: $i] :
( ( ( r1 @ SV92 @ SV142 )
= $false )
| ( ( SV110 @ SV142 )
= $true )
| ( ( r3 @ SV92 @ ( sK36_SY231 @ SV110 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(720,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( ~ ( r2 @ SV93 @ ( sK51_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(721,plain,
! [SV93: $i,SV111: $i > $o] :
( ( ( ~ ( SV111 @ ( sK51_SY234 @ SV111 @ SV93 ) ) )
= $false )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[684]) ).
thf(722,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( r2 @ SV93 @ ( sK48_SY234 @ SV111 @ SV93 ) )
= $true )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(723,plain,
! [SV93: $i,SV111: $i > $o] :
( ( ( SV111 @ ( sK48_SY234 @ SV111 @ SV93 ) )
= $true )
| ( ( SV111 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(724,plain,
! [SV124: $i,SV112: $i > $o,SV152: $i,SV94: $i] :
( ( ( ~ ( r3 @ SV94 @ SV152 ) )
= $true )
| ( ( ~ ! [SY285: $i] :
( ~ ( r3 @ SV152 @ SY285 )
| ( SV112 @ SY285 ) ) )
= $true )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(725,plain,
! [SV113: $i > $o,SV143: $i,SV95: $i] :
( ( ( r3 @ SV95 @ SV143 )
= $false )
| ( ( ! [SY278: $i] :
( ~ ( r3 @ SV143 @ SY278 )
| ( SV113 @ SY278 ) ) )
= $true )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(726,plain,
! [SV95: $i,SV113: $i > $o,SV157: $i,SV130: $i] :
( ( ( ~ ( r3 @ SV130 @ SV157 )
| ( SV113 @ SV157 ) )
= $true )
| ( ( r3 @ SV95 @ SV130 )
= $false )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(727,plain,
! [SV114: $i > $o,SV144: $i,SV96: $i] :
( ( ( r2 @ SV96 @ SV144 )
= $false )
| ( ( SV114 @ SV144 )
= $true )
| ( ( r3 @ SV96 @ ( sK39_SY241 @ SV114 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(728,plain,
! [SV115: $i > $o,SV145: $i,SV97: $i] :
( ( ( r2 @ SV97 @ SV145 )
= $false )
| ( ( ! [SY279: $i] :
( ~ ( r1 @ SV145 @ SY279 )
| ( SV115 @ SY279 ) ) )
= $true )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(729,plain,
! [SV97: $i,SV115: $i > $o,SV158: $i,SV132: $i] :
( ( ( ~ ( r1 @ SV132 @ SV158 )
| ( SV115 @ SV158 ) )
= $true )
| ( ( r2 @ SV97 @ SV132 )
= $false )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(730,plain,
! [SV116: $i > $o,SV146: $i,SV98: $i] :
( ( ( r1 @ SV98 @ SV146 )
= $false )
| ( ( SV116 @ SV146 )
= $true )
| ( ( r2 @ SV98 @ ( sK41_SY246 @ SV116 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(731,plain,
! [SV117: $i > $o,SV147: $i,SV99: $i] :
( ( ( r1 @ SV99 @ SV147 )
= $false )
| ( ( ! [SY280: $i] :
( ~ ( r1 @ SV147 @ SY280 )
| ( SV117 @ SY280 ) ) )
= $true )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(732,plain,
! [SV99: $i,SV117: $i > $o,SV159: $i,SV134: $i] :
( ( ( ~ ( r1 @ SV134 @ SV159 )
| ( SV117 @ SV159 ) )
= $true )
| ( ( r1 @ SV99 @ SV134 )
= $false )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(733,plain,
! [SV118: $i > $o,SV148: $i,SV100: $i] :
( ( ( r2 @ SV100 @ SV148 )
= $false )
| ( ( ! [SY281: $i] :
( ~ ( r2 @ SV148 @ SY281 )
| ( SV118 @ SY281 ) ) )
= $true )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(734,plain,
! [SV100: $i,SV118: $i > $o,SV160: $i,SV135: $i] :
( ( ( ~ ( r2 @ SV135 @ SV160 )
| ( SV118 @ SV160 ) )
= $true )
| ( ( r2 @ SV100 @ SV135 )
= $false )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(735,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( ~ ( r3 @ SV101 @ ( sK52_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(736,plain,
! [SV101: $i,SV119: $i > $o] :
( ( ( ~ ( SV119 @ ( sK52_SY255 @ SV119 @ SV101 ) ) )
= $false )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[700]) ).
thf(737,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( r3 @ SV101 @ ( sK49_SY255 @ SV119 @ SV101 ) )
= $true )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(738,plain,
! [SV101: $i,SV119: $i > $o] :
( ( ( SV119 @ ( sK49_SY255 @ SV119 @ SV101 ) )
= $true )
| ( ( SV119 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(739,plain,
! [SV120: $i > $o,SV149: $i,SV102: $i] :
( ( ( r1 @ SV102 @ SV149 )
= $false )
| ( ( ! [SY282: $i] :
( ~ ( r3 @ SV149 @ SY282 )
| ( SV120 @ SY282 ) ) )
= $true )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(740,plain,
! [SV102: $i,SV120: $i > $o,SV161: $i,SV136: $i] :
( ( ( ~ ( r3 @ SV136 @ SV161 )
| ( SV120 @ SV161 ) )
= $true )
| ( ( r1 @ SV102 @ SV136 )
= $false )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(741,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( ~ ( r1 @ SV103 @ ( sK53_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(742,plain,
! [SV103: $i,SV121: $i > $o] :
( ( ( ~ ( SV121 @ ( sK53_SY260 @ SV121 @ SV103 ) ) )
= $false )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(743,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( r1 @ SV103 @ ( sK50_SY260 @ SV121 @ SV103 ) )
= $true )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(744,plain,
! [SV103: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK50_SY260 @ SV121 @ SV103 ) )
= $true )
| ( ( SV121 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(745,plain,
! [SV122: $i,SV104: $i > $o,SV150: $i,SV86: $i] :
( ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( ~ ! [SY283: $i] :
( ~ ( r1 @ SV150 @ SY283 )
| ( SV104 @ SY283 ) ) )
= $true )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(746,plain,
! [SV87: $i,SV105: $i > $o,SV162: $i,SV137: $i] :
( ( ( ~ ( r2 @ SV137 @ SV162 )
| ( SV105 @ SV162 ) )
= $true )
| ( ( r3 @ SV87 @ SV137 )
= $false )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(747,plain,
! [SV87: $i,SV105: $i > $o,SV153: $i,SV125: $i] :
( ( ( ~ ( r2 @ SV125 @ SV153 ) )
= $true )
| ( ( SV105 @ SV153 )
= $true )
| ( ( r3 @ SV87 @ SV125 )
= $false )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(748,plain,
! [SV123: $i,SV106: $i > $o,SV151: $i,SV88: $i] :
( ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( ~ ! [SY284: $i] :
( ~ ( r2 @ SV151 @ SY284 )
| ( SV106 @ SY284 ) ) )
= $true )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(749,plain,
! [SV89: $i,SV107: $i > $o,SV163: $i,SV139: $i] :
( ( ( ~ ( r2 @ SV139 @ SV163 )
| ( SV107 @ SV163 ) )
= $true )
| ( ( r1 @ SV89 @ SV139 )
= $false )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(750,plain,
! [SV89: $i,SV107: $i > $o,SV154: $i,SV126: $i] :
( ( ( ~ ( r2 @ SV126 @ SV154 ) )
= $true )
| ( ( SV107 @ SV154 )
= $true )
| ( ( r1 @ SV89 @ SV126 )
= $false )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(751,plain,
! [SV90: $i,SV108: $i > $o,SV164: $i,SV140: $i] :
( ( ( ~ ( r3 @ SV140 @ SV164 )
| ( SV108 @ SV164 ) )
= $true )
| ( ( r2 @ SV90 @ SV140 )
= $false )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(752,plain,
! [SV90: $i,SV108: $i > $o,SV155: $i,SV127: $i] :
( ( ( ~ ( r3 @ SV127 @ SV155 ) )
= $true )
| ( ( SV108 @ SV155 )
= $true )
| ( ( r2 @ SV90 @ SV127 )
= $false )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(753,plain,
! [SV91: $i,SV109: $i > $o,SV165: $i,SV141: $i] :
( ( ( ~ ( r1 @ SV141 @ SV165 )
| ( SV109 @ SV165 ) )
= $true )
| ( ( r3 @ SV91 @ SV141 )
= $false )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(754,plain,
! [SV91: $i,SV109: $i > $o,SV156: $i,SV128: $i] :
( ( ( ~ ( r1 @ SV128 @ SV156 ) )
= $true )
| ( ( SV109 @ SV156 )
= $true )
| ( ( r3 @ SV91 @ SV128 )
= $false )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(755,plain,
! [SV111: $i > $o,SV93: $i] :
( ( ( r2 @ SV93 @ ( sK51_SY234 @ SV111 @ SV93 ) )
= $true )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(756,plain,
! [SV93: $i,SV111: $i > $o] :
( ( ( SV111 @ ( sK51_SY234 @ SV111 @ SV93 ) )
= $true )
| ( ( r2 @ SV93 @ ( sK37_SY233 @ SV111 @ SV93 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(757,plain,
! [SV124: $i,SV112: $i > $o,SV152: $i,SV94: $i] :
( ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( ~ ! [SY285: $i] :
( ~ ( r3 @ SV152 @ SY285 )
| ( SV112 @ SY285 ) ) )
= $true )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(758,plain,
! [SV95: $i,SV113: $i > $o,SV166: $i,SV143: $i] :
( ( ( ~ ( r3 @ SV143 @ SV166 )
| ( SV113 @ SV166 ) )
= $true )
| ( ( r3 @ SV95 @ SV143 )
= $false )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(759,plain,
! [SV95: $i,SV113: $i > $o,SV157: $i,SV130: $i] :
( ( ( ~ ( r3 @ SV130 @ SV157 ) )
= $true )
| ( ( SV113 @ SV157 )
= $true )
| ( ( r3 @ SV95 @ SV130 )
= $false )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(760,plain,
! [SV97: $i,SV115: $i > $o,SV167: $i,SV145: $i] :
( ( ( ~ ( r1 @ SV145 @ SV167 )
| ( SV115 @ SV167 ) )
= $true )
| ( ( r2 @ SV97 @ SV145 )
= $false )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(761,plain,
! [SV97: $i,SV115: $i > $o,SV158: $i,SV132: $i] :
( ( ( ~ ( r1 @ SV132 @ SV158 ) )
= $true )
| ( ( SV115 @ SV158 )
= $true )
| ( ( r2 @ SV97 @ SV132 )
= $false )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(762,plain,
! [SV99: $i,SV117: $i > $o,SV168: $i,SV147: $i] :
( ( ( ~ ( r1 @ SV147 @ SV168 )
| ( SV117 @ SV168 ) )
= $true )
| ( ( r1 @ SV99 @ SV147 )
= $false )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(763,plain,
! [SV99: $i,SV117: $i > $o,SV159: $i,SV134: $i] :
( ( ( ~ ( r1 @ SV134 @ SV159 ) )
= $true )
| ( ( SV117 @ SV159 )
= $true )
| ( ( r1 @ SV99 @ SV134 )
= $false )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(764,plain,
! [SV100: $i,SV118: $i > $o,SV169: $i,SV148: $i] :
( ( ( ~ ( r2 @ SV148 @ SV169 )
| ( SV118 @ SV169 ) )
= $true )
| ( ( r2 @ SV100 @ SV148 )
= $false )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(765,plain,
! [SV100: $i,SV118: $i > $o,SV160: $i,SV135: $i] :
( ( ( ~ ( r2 @ SV135 @ SV160 ) )
= $true )
| ( ( SV118 @ SV160 )
= $true )
| ( ( r2 @ SV100 @ SV135 )
= $false )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(766,plain,
! [SV119: $i > $o,SV101: $i] :
( ( ( r3 @ SV101 @ ( sK52_SY255 @ SV119 @ SV101 ) )
= $true )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(767,plain,
! [SV101: $i,SV119: $i > $o] :
( ( ( SV119 @ ( sK52_SY255 @ SV119 @ SV101 ) )
= $true )
| ( ( r3 @ SV101 @ ( sK44_SY254 @ SV119 @ SV101 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(768,plain,
! [SV102: $i,SV120: $i > $o,SV170: $i,SV149: $i] :
( ( ( ~ ( r3 @ SV149 @ SV170 )
| ( SV120 @ SV170 ) )
= $true )
| ( ( r1 @ SV102 @ SV149 )
= $false )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(769,plain,
! [SV102: $i,SV120: $i > $o,SV161: $i,SV136: $i] :
( ( ( ~ ( r3 @ SV136 @ SV161 ) )
= $true )
| ( ( SV120 @ SV161 )
= $true )
| ( ( r1 @ SV102 @ SV136 )
= $false )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(770,plain,
! [SV121: $i > $o,SV103: $i] :
( ( ( r1 @ SV103 @ ( sK53_SY260 @ SV121 @ SV103 ) )
= $true )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(771,plain,
! [SV103: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK53_SY260 @ SV121 @ SV103 ) )
= $true )
| ( ( r1 @ SV103 @ ( sK46_SY259 @ SV121 @ SV103 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(772,plain,
! [SV122: $i,SV86: $i,SV104: $i > $o,SV150: $i] :
( ( ( ! [SY283: $i] :
( ~ ( r1 @ SV150 @ SY283 )
| ( SV104 @ SY283 ) ) )
= $false )
| ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(773,plain,
! [SV87: $i,SV105: $i > $o,SV162: $i,SV137: $i] :
( ( ( ~ ( r2 @ SV137 @ SV162 ) )
= $true )
| ( ( SV105 @ SV162 )
= $true )
| ( ( r3 @ SV87 @ SV137 )
= $false )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(774,plain,
! [SV87: $i,SV105: $i > $o,SV153: $i,SV125: $i] :
( ( ( r2 @ SV125 @ SV153 )
= $false )
| ( ( SV105 @ SV153 )
= $true )
| ( ( r3 @ SV87 @ SV125 )
= $false )
| ( ( SV105 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(775,plain,
! [SV123: $i,SV88: $i,SV106: $i > $o,SV151: $i] :
( ( ( ! [SY284: $i] :
( ~ ( r2 @ SV151 @ SY284 )
| ( SV106 @ SY284 ) ) )
= $false )
| ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(776,plain,
! [SV89: $i,SV107: $i > $o,SV163: $i,SV139: $i] :
( ( ( ~ ( r2 @ SV139 @ SV163 ) )
= $true )
| ( ( SV107 @ SV163 )
= $true )
| ( ( r1 @ SV89 @ SV139 )
= $false )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(777,plain,
! [SV89: $i,SV107: $i > $o,SV154: $i,SV126: $i] :
( ( ( r2 @ SV126 @ SV154 )
= $false )
| ( ( SV107 @ SV154 )
= $true )
| ( ( r1 @ SV89 @ SV126 )
= $false )
| ( ( SV107 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(778,plain,
! [SV90: $i,SV108: $i > $o,SV164: $i,SV140: $i] :
( ( ( ~ ( r3 @ SV140 @ SV164 ) )
= $true )
| ( ( SV108 @ SV164 )
= $true )
| ( ( r2 @ SV90 @ SV140 )
= $false )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(779,plain,
! [SV90: $i,SV108: $i > $o,SV155: $i,SV127: $i] :
( ( ( r3 @ SV127 @ SV155 )
= $false )
| ( ( SV108 @ SV155 )
= $true )
| ( ( r2 @ SV90 @ SV127 )
= $false )
| ( ( SV108 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(780,plain,
! [SV91: $i,SV109: $i > $o,SV165: $i,SV141: $i] :
( ( ( ~ ( r1 @ SV141 @ SV165 ) )
= $true )
| ( ( SV109 @ SV165 )
= $true )
| ( ( r3 @ SV91 @ SV141 )
= $false )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(781,plain,
! [SV91: $i,SV109: $i > $o,SV156: $i,SV128: $i] :
( ( ( r1 @ SV128 @ SV156 )
= $false )
| ( ( SV109 @ SV156 )
= $true )
| ( ( r3 @ SV91 @ SV128 )
= $false )
| ( ( SV109 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(782,plain,
! [SV124: $i,SV94: $i,SV112: $i > $o,SV152: $i] :
( ( ( ! [SY285: $i] :
( ~ ( r3 @ SV152 @ SY285 )
| ( SV112 @ SY285 ) ) )
= $false )
| ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[757]) ).
thf(783,plain,
! [SV95: $i,SV113: $i > $o,SV166: $i,SV143: $i] :
( ( ( ~ ( r3 @ SV143 @ SV166 ) )
= $true )
| ( ( SV113 @ SV166 )
= $true )
| ( ( r3 @ SV95 @ SV143 )
= $false )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(784,plain,
! [SV95: $i,SV113: $i > $o,SV157: $i,SV130: $i] :
( ( ( r3 @ SV130 @ SV157 )
= $false )
| ( ( SV113 @ SV157 )
= $true )
| ( ( r3 @ SV95 @ SV130 )
= $false )
| ( ( SV113 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(785,plain,
! [SV97: $i,SV115: $i > $o,SV167: $i,SV145: $i] :
( ( ( ~ ( r1 @ SV145 @ SV167 ) )
= $true )
| ( ( SV115 @ SV167 )
= $true )
| ( ( r2 @ SV97 @ SV145 )
= $false )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(786,plain,
! [SV97: $i,SV115: $i > $o,SV158: $i,SV132: $i] :
( ( ( r1 @ SV132 @ SV158 )
= $false )
| ( ( SV115 @ SV158 )
= $true )
| ( ( r2 @ SV97 @ SV132 )
= $false )
| ( ( SV115 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(787,plain,
! [SV99: $i,SV117: $i > $o,SV168: $i,SV147: $i] :
( ( ( ~ ( r1 @ SV147 @ SV168 ) )
= $true )
| ( ( SV117 @ SV168 )
= $true )
| ( ( r1 @ SV99 @ SV147 )
= $false )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(788,plain,
! [SV99: $i,SV117: $i > $o,SV159: $i,SV134: $i] :
( ( ( r1 @ SV134 @ SV159 )
= $false )
| ( ( SV117 @ SV159 )
= $true )
| ( ( r1 @ SV99 @ SV134 )
= $false )
| ( ( SV117 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(789,plain,
! [SV100: $i,SV118: $i > $o,SV169: $i,SV148: $i] :
( ( ( ~ ( r2 @ SV148 @ SV169 ) )
= $true )
| ( ( SV118 @ SV169 )
= $true )
| ( ( r2 @ SV100 @ SV148 )
= $false )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(790,plain,
! [SV100: $i,SV118: $i > $o,SV160: $i,SV135: $i] :
( ( ( r2 @ SV135 @ SV160 )
= $false )
| ( ( SV118 @ SV160 )
= $true )
| ( ( r2 @ SV100 @ SV135 )
= $false )
| ( ( SV118 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(791,plain,
! [SV102: $i,SV120: $i > $o,SV170: $i,SV149: $i] :
( ( ( ~ ( r3 @ SV149 @ SV170 ) )
= $true )
| ( ( SV120 @ SV170 )
= $true )
| ( ( r1 @ SV102 @ SV149 )
= $false )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(792,plain,
! [SV102: $i,SV120: $i > $o,SV161: $i,SV136: $i] :
( ( ( r3 @ SV136 @ SV161 )
= $false )
| ( ( SV120 @ SV161 )
= $true )
| ( ( r1 @ SV102 @ SV136 )
= $false )
| ( ( SV120 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(793,plain,
! [SV104: $i > $o,SV86: $i,SV122: $i,SV150: $i] :
( ( ( ~ ( r1 @ SV150 @ ( sK54_SY283 @ SV122 @ SV86 @ SV104 @ SV150 ) )
| ( SV104 @ ( sK54_SY283 @ SV122 @ SV86 @ SV104 @ SV150 ) ) )
= $false )
| ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[772]) ).
thf(794,plain,
! [SV87: $i,SV105: $i > $o,SV162: $i,SV137: $i] :
( ( ( r2 @ SV137 @ SV162 )
= $false )
| ( ( SV105 @ SV162 )
= $true )
| ( ( r3 @ SV87 @ SV137 )
= $false )
| ( ( r2 @ SV87 @ ( sK31_SY212 @ SV105 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(795,plain,
! [SV106: $i > $o,SV88: $i,SV123: $i,SV151: $i] :
( ( ( ~ ( r2 @ SV151 @ ( sK55_SY284 @ SV123 @ SV88 @ SV106 @ SV151 ) )
| ( SV106 @ ( sK55_SY284 @ SV123 @ SV88 @ SV106 @ SV151 ) ) )
= $false )
| ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[775]) ).
thf(796,plain,
! [SV89: $i,SV107: $i > $o,SV163: $i,SV139: $i] :
( ( ( r2 @ SV139 @ SV163 )
= $false )
| ( ( SV107 @ SV163 )
= $true )
| ( ( r1 @ SV89 @ SV139 )
= $false )
| ( ( r2 @ SV89 @ ( sK33_SY222 @ SV107 @ SV89 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(797,plain,
! [SV90: $i,SV108: $i > $o,SV164: $i,SV140: $i] :
( ( ( r3 @ SV140 @ SV164 )
= $false )
| ( ( SV108 @ SV164 )
= $true )
| ( ( r2 @ SV90 @ SV140 )
= $false )
| ( ( r3 @ SV90 @ ( sK34_SY225 @ SV108 @ SV90 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(798,plain,
! [SV91: $i,SV109: $i > $o,SV165: $i,SV141: $i] :
( ( ( r1 @ SV141 @ SV165 )
= $false )
| ( ( SV109 @ SV165 )
= $true )
| ( ( r3 @ SV91 @ SV141 )
= $false )
| ( ( r1 @ SV91 @ ( sK35_SY228 @ SV109 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(799,plain,
! [SV112: $i > $o,SV94: $i,SV124: $i,SV152: $i] :
( ( ( ~ ( r3 @ SV152 @ ( sK56_SY285 @ SV124 @ SV94 @ SV112 @ SV152 ) )
| ( SV112 @ ( sK56_SY285 @ SV124 @ SV94 @ SV112 @ SV152 ) ) )
= $false )
| ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[782]) ).
thf(800,plain,
! [SV95: $i,SV113: $i > $o,SV166: $i,SV143: $i] :
( ( ( r3 @ SV143 @ SV166 )
= $false )
| ( ( SV113 @ SV166 )
= $true )
| ( ( r3 @ SV95 @ SV143 )
= $false )
| ( ( r3 @ SV95 @ ( sK38_SY238 @ SV113 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(801,plain,
! [SV97: $i,SV115: $i > $o,SV167: $i,SV145: $i] :
( ( ( r1 @ SV145 @ SV167 )
= $false )
| ( ( SV115 @ SV167 )
= $true )
| ( ( r2 @ SV97 @ SV145 )
= $false )
| ( ( r1 @ SV97 @ ( sK40_SY243 @ SV115 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(802,plain,
! [SV99: $i,SV117: $i > $o,SV168: $i,SV147: $i] :
( ( ( r1 @ SV147 @ SV168 )
= $false )
| ( ( SV117 @ SV168 )
= $true )
| ( ( r1 @ SV99 @ SV147 )
= $false )
| ( ( r1 @ SV99 @ ( sK42_SY248 @ SV117 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(803,plain,
! [SV100: $i,SV118: $i > $o,SV169: $i,SV148: $i] :
( ( ( r2 @ SV148 @ SV169 )
= $false )
| ( ( SV118 @ SV169 )
= $true )
| ( ( r2 @ SV100 @ SV148 )
= $false )
| ( ( r2 @ SV100 @ ( sK43_SY251 @ SV118 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(804,plain,
! [SV102: $i,SV120: $i > $o,SV170: $i,SV149: $i] :
( ( ( r3 @ SV149 @ SV170 )
= $false )
| ( ( SV120 @ SV170 )
= $true )
| ( ( r1 @ SV102 @ SV149 )
= $false )
| ( ( r3 @ SV102 @ ( sK45_SY256 @ SV120 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(805,plain,
! [SV104: $i > $o,SV86: $i,SV122: $i,SV150: $i] :
( ( ( ~ ( r1 @ SV150 @ ( sK54_SY283 @ SV122 @ SV86 @ SV104 @ SV150 ) ) )
= $false )
| ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(806,plain,
! [SV150: $i,SV86: $i,SV122: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK54_SY283 @ SV122 @ SV86 @ SV104 @ SV150 ) )
= $false )
| ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[793]) ).
thf(807,plain,
! [SV106: $i > $o,SV88: $i,SV123: $i,SV151: $i] :
( ( ( ~ ( r2 @ SV151 @ ( sK55_SY284 @ SV123 @ SV88 @ SV106 @ SV151 ) ) )
= $false )
| ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(808,plain,
! [SV151: $i,SV88: $i,SV123: $i,SV106: $i > $o] :
( ( ( SV106 @ ( sK55_SY284 @ SV123 @ SV88 @ SV106 @ SV151 ) )
= $false )
| ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[795]) ).
thf(809,plain,
! [SV112: $i > $o,SV94: $i,SV124: $i,SV152: $i] :
( ( ( ~ ( r3 @ SV152 @ ( sK56_SY285 @ SV124 @ SV94 @ SV112 @ SV152 ) ) )
= $false )
| ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(810,plain,
! [SV152: $i,SV94: $i,SV124: $i,SV112: $i > $o] :
( ( ( SV112 @ ( sK56_SY285 @ SV124 @ SV94 @ SV112 @ SV152 ) )
= $false )
| ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[799]) ).
thf(811,plain,
! [SV104: $i > $o,SV86: $i,SV122: $i,SV150: $i] :
( ( ( r1 @ SV150 @ ( sK54_SY283 @ SV122 @ SV86 @ SV104 @ SV150 ) )
= $true )
| ( ( r1 @ SV86 @ SV150 )
= $false )
| ( ( SV104 @ SV122 )
= $true )
| ( ( r1 @ SV86 @ SV122 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(812,plain,
! [SV106: $i > $o,SV88: $i,SV123: $i,SV151: $i] :
( ( ( r2 @ SV151 @ ( sK55_SY284 @ SV123 @ SV88 @ SV106 @ SV151 ) )
= $true )
| ( ( r2 @ SV88 @ SV151 )
= $false )
| ( ( SV106 @ SV123 )
= $true )
| ( ( r2 @ SV88 @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(813,plain,
! [SV112: $i > $o,SV94: $i,SV124: $i,SV152: $i] :
( ( ( r3 @ SV152 @ ( sK56_SY285 @ SV124 @ SV94 @ SV112 @ SV152 ) )
= $true )
| ( ( r3 @ SV94 @ SV152 )
= $false )
| ( ( SV112 @ SV124 )
= $true )
| ( ( r3 @ SV94 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[809]) ).
thf(814,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[602,813,812,811,810,808,806,804,803,802,801,800,798,797,796,794,792,790,788,786,784,781,779,777,774,771,770,767,766,756,755,744,743,738,737,730,727,723,722,719,711,695,691,683,673,638]) ).
thf(815,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(816,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(817,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(818,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(819,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(820,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(821,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(822,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(823,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(824,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(825,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(826,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(827,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(828,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(829,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(830,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(831,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(832,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(833,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(834,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[822,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(835,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[825,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(836,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[819,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(837,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[815,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(838,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[831,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(839,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[818,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(840,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[830,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(841,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[833,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(842,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[816,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(843,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[820,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(844,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[828,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(845,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[817,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(846,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[832,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(847,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[823,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(848,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[827,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(849,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[824,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(850,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[821,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(851,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[826,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(852,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[829,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(853,plain,
! [SV171: $i] :
( ( ! [SY286: $i > $o] :
( ~ ! [SY287: $i] :
( ~ ( r1 @ SV171 @ SY287 )
| ( SY286 @ SY287 ) )
| ! [SY288: $i] :
( ~ ( r2 @ SV171 @ SY288 )
| ! [SX3: $i] :
( ~ ( r1 @ SY288 @ SX3 )
| ( SY286 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(854,plain,
! [SV172: $i] :
( ( ! [SY290: $i > $o] :
( ~ ! [SY291: $i] :
( ~ ( r2 @ SV172 @ SY291 )
| ( SY290 @ SY291 ) )
| ! [SY292: $i] :
( ~ ( r2 @ SV172 @ SY292 )
| ! [SX3: $i] :
( ~ ( r2 @ SY292 @ SX3 )
| ( SY290 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(855,plain,
! [SV173: $i] :
( ( ! [SY294: $i > $o] :
( ~ ! [SY295: $i] :
( ~ ( r3 @ SV173 @ SY295 )
| ( SY294 @ SY295 ) )
| ! [SY296: $i] :
( ~ ( r1 @ SV173 @ SY296 )
| ( SY294 @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(856,plain,
! [SV174: $i] :
( ( ! [SY297: $i > $o] :
( ~ ! [SY298: $i] :
( ~ ( r1 @ SV174 @ SY298 )
| ( SY297 @ SY298 ) )
| ~ ! [SY299: $i] :
( ~ ( r1 @ SV174 @ SY299 )
| ~ ( SY297 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(857,plain,
! [SV175: $i] :
( ( ! [SY300: $i > $o] :
( ~ ~ ! [SY301: $i] :
( ~ ( r2 @ SV175 @ SY301 )
| ( SY300 @ SY301 ) )
| ! [SY302: $i] :
( ~ ( r2 @ SV175 @ SY302 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY302 @ SX3 )
| ( SY300 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(858,plain,
! [SV176: $i] :
( ( ! [SY304: $i > $o] :
( ~ ! [SY305: $i] :
( ~ ( r2 @ SV176 @ SY305 )
| ( SY304 @ SY305 ) )
| ! [SY306: $i] :
( ~ ( r1 @ SV176 @ SY306 )
| ( SY304 @ SY306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(859,plain,
! [SV177: $i] :
( ( ! [SY307: $i > $o] :
( ~ ~ ! [SY308: $i] :
( ~ ( r1 @ SV177 @ SY308 )
| ( SY307 @ SY308 ) )
| ! [SY309: $i] :
( ~ ( r1 @ SV177 @ SY309 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY309 @ SX3 )
| ( SY307 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(860,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(861,plain,
! [SV178: $i] :
( ( ! [SY311: $i > $o] :
( ~ ! [SY312: $i] :
( ~ ( r2 @ SV178 @ SY312 )
| ( SY311 @ SY312 ) )
| ~ ! [SY313: $i] :
( ~ ( r2 @ SV178 @ SY313 )
| ~ ( SY311 @ SY313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(862,plain,
! [SV179: $i] :
( ( ! [SY314: $i > $o] :
( ~ ! [SY315: $i] :
( ~ ( r3 @ SV179 @ SY315 )
| ( SY314 @ SY315 ) )
| ! [SY316: $i] :
( ~ ( r2 @ SV179 @ SY316 )
| ( SY314 @ SY316 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(863,plain,
! [SV180: $i] :
( ( ! [SY317: $i > $o] :
( ~ ! [SY318: $i] :
( ~ ( r3 @ SV180 @ SY318 )
| ( SY317 @ SY318 ) )
| ! [SY319: $i] :
( ~ ( r2 @ SV180 @ SY319 )
| ! [SX3: $i] :
( ~ ( r3 @ SY319 @ SX3 )
| ( SY317 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(864,plain,
! [SV181: $i] :
( ( ! [SY321: $i > $o] :
( ~ ! [SY322: $i] :
( ~ ( r3 @ SV181 @ SY322 )
| ( SY321 @ SY322 ) )
| ~ ! [SY323: $i] :
( ~ ( r3 @ SV181 @ SY323 )
| ~ ( SY321 @ SY323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(865,plain,
! [SV182: $i] :
( ( ! [SY324: $i > $o] :
( ~ ~ ! [SY325: $i] :
( ~ ( r3 @ SV182 @ SY325 )
| ( SY324 @ SY325 ) )
| ! [SY326: $i] :
( ~ ( r3 @ SV182 @ SY326 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY326 @ SX3 )
| ( SY324 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(866,plain,
! [SV183: $i] :
( ( ! [SY328: $i > $o] :
( ~ ! [SY329: $i] :
( ~ ( r1 @ SV183 @ SY329 )
| ( SY328 @ SY329 ) )
| ! [SY330: $i] :
( ~ ( r3 @ SV183 @ SY330 )
| ! [SX3: $i] :
( ~ ( r1 @ SY330 @ SX3 )
| ( SY328 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(867,plain,
! [SV184: $i] :
( ( ! [SY332: $i > $o] :
( ~ ! [SY333: $i] :
( ~ ( r3 @ SV184 @ SY333 )
| ( SY332 @ SY333 ) )
| ! [SY334: $i] :
( ~ ( r1 @ SV184 @ SY334 )
| ! [SX3: $i] :
( ~ ( r3 @ SY334 @ SX3 )
| ( SY332 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(868,plain,
! [SV185: $i] :
( ( ! [SY336: $i > $o] :
( ~ ! [SY337: $i] :
( ~ ( r2 @ SV185 @ SY337 )
| ( SY336 @ SY337 ) )
| ! [SY338: $i] :
( ~ ( r1 @ SV185 @ SY338 )
| ! [SX3: $i] :
( ~ ( r2 @ SY338 @ SX3 )
| ( SY336 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(869,plain,
! [SV186: $i] :
( ( ! [SY340: $i > $o] :
( ~ ! [SY341: $i] :
( ~ ( r1 @ SV186 @ SY341 )
| ( SY340 @ SY341 ) )
| ! [SY342: $i] :
( ~ ( r1 @ SV186 @ SY342 )
| ! [SX3: $i] :
( ~ ( r1 @ SY342 @ SX3 )
| ( SY340 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(870,plain,
! [SV187: $i] :
( ( ! [SY344: $i > $o] :
( ~ ! [SY345: $i] :
( ~ ( r2 @ SV187 @ SY345 )
| ( SY344 @ SY345 ) )
| ! [SY346: $i] :
( ~ ( r3 @ SV187 @ SY346 )
| ! [SX3: $i] :
( ~ ( r2 @ SY346 @ SX3 )
| ( SY344 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(871,plain,
! [SV188: $i] :
( ( ! [SY348: $i > $o] :
( ~ ! [SY349: $i] :
( ~ ( r3 @ SV188 @ SY349 )
| ( SY348 @ SY349 ) )
| ! [SY350: $i] :
( ~ ( r3 @ SV188 @ SY350 )
| ! [SX3: $i] :
( ~ ( r3 @ SY350 @ SX3 )
| ( SY348 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(872,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ~ ! [SY352: $i] :
( ~ ( r1 @ SV171 @ SY352 )
| ( SV189 @ SY352 ) )
| ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(873,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ~ ! [SY355: $i] :
( ~ ( r2 @ SV172 @ SY355 )
| ( SV190 @ SY355 ) )
| ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(874,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ~ ! [SY358: $i] :
( ~ ( r3 @ SV173 @ SY358 )
| ( SV191 @ SY358 ) )
| ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(875,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ~ ! [SY360: $i] :
( ~ ( r1 @ SV174 @ SY360 )
| ( SV192 @ SY360 ) )
| ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(876,plain,
! [SV193: $i > $o,SV175: $i] :
( ( ~ ~ ! [SY362: $i] :
( ~ ( r2 @ SV175 @ SY362 )
| ( SV193 @ SY362 ) )
| ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(877,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ~ ! [SY365: $i] :
( ~ ( r2 @ SV176 @ SY365 )
| ( SV194 @ SY365 ) )
| ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(878,plain,
! [SV195: $i > $o,SV177: $i] :
( ( ~ ~ ! [SY367: $i] :
( ~ ( r1 @ SV177 @ SY367 )
| ( SV195 @ SY367 ) )
| ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(879,plain,
( ( ! [SY370: $i > $o] :
( ~ ~ ! [SY371: $i] :
( ~ ( r1 @ sK57_SX0 @ SY371 )
| ( SY370 @ SY371 ) )
| ! [SY372: $i] :
( ~ ( r3 @ sK57_SX0 @ SY372 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY372 @ SX3 )
| ( SY370 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[860]) ).
thf(880,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ~ ! [SY374: $i] :
( ~ ( r2 @ SV178 @ SY374 )
| ( SV196 @ SY374 ) )
| ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(881,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ~ ! [SY376: $i] :
( ~ ( r3 @ SV179 @ SY376 )
| ( SV197 @ SY376 ) )
| ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(882,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ~ ! [SY378: $i] :
( ~ ( r3 @ SV180 @ SY378 )
| ( SV198 @ SY378 ) )
| ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(883,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ~ ! [SY381: $i] :
( ~ ( r3 @ SV181 @ SY381 )
| ( SV199 @ SY381 ) )
| ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(884,plain,
! [SV200: $i > $o,SV182: $i] :
( ( ~ ~ ! [SY383: $i] :
( ~ ( r3 @ SV182 @ SY383 )
| ( SV200 @ SY383 ) )
| ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(885,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ~ ! [SY386: $i] :
( ~ ( r1 @ SV183 @ SY386 )
| ( SV201 @ SY386 ) )
| ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(886,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ~ ! [SY389: $i] :
( ~ ( r3 @ SV184 @ SY389 )
| ( SV202 @ SY389 ) )
| ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(887,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ~ ! [SY392: $i] :
( ~ ( r2 @ SV185 @ SY392 )
| ( SV203 @ SY392 ) )
| ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(888,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ~ ! [SY395: $i] :
( ~ ( r1 @ SV186 @ SY395 )
| ( SV204 @ SY395 ) )
| ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(889,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ~ ! [SY398: $i] :
( ~ ( r2 @ SV187 @ SY398 )
| ( SV205 @ SY398 ) )
| ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(890,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ~ ! [SY401: $i] :
( ~ ( r3 @ SV188 @ SY401 )
| ( SV206 @ SY401 ) )
| ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(891,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ( ~ ! [SY352: $i] :
( ~ ( r1 @ SV171 @ SY352 )
| ( SV189 @ SY352 ) ) )
= $true )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(892,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ( ~ ! [SY355: $i] :
( ~ ( r2 @ SV172 @ SY355 )
| ( SV190 @ SY355 ) ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(893,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ( ~ ! [SY358: $i] :
( ~ ( r3 @ SV173 @ SY358 )
| ( SV191 @ SY358 ) ) )
= $true )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(894,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ! [SY360: $i] :
( ~ ( r1 @ SV174 @ SY360 )
| ( SV192 @ SY360 ) ) )
= $true )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[875]) ).
thf(895,plain,
! [SV193: $i > $o,SV175: $i] :
( ( ( ~ ~ ! [SY362: $i] :
( ~ ( r2 @ SV175 @ SY362 )
| ( SV193 @ SY362 ) ) )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(896,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ( ~ ! [SY365: $i] :
( ~ ( r2 @ SV176 @ SY365 )
| ( SV194 @ SY365 ) ) )
= $true )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(897,plain,
! [SV195: $i > $o,SV177: $i] :
( ( ( ~ ~ ! [SY367: $i] :
( ~ ( r1 @ SV177 @ SY367 )
| ( SV195 @ SY367 ) ) )
= $true )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(898,plain,
( ( ~ ~ ! [SY404: $i] :
( ~ ( r1 @ sK57_SX0 @ SY404 )
| ( sK58_SY370 @ SY404 ) )
| ! [SY405: $i] :
( ~ ( r3 @ sK57_SX0 @ SY405 )
| ~ ! [SY406: $i] :
( ~ ( r1 @ SY405 @ SY406 )
| ( sK58_SY370 @ SY406 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[879]) ).
thf(899,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ! [SY374: $i] :
( ~ ( r2 @ SV178 @ SY374 )
| ( SV196 @ SY374 ) ) )
= $true )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(900,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ( ~ ! [SY376: $i] :
( ~ ( r3 @ SV179 @ SY376 )
| ( SV197 @ SY376 ) ) )
= $true )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(901,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ( ~ ! [SY378: $i] :
( ~ ( r3 @ SV180 @ SY378 )
| ( SV198 @ SY378 ) ) )
= $true )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(902,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ! [SY381: $i] :
( ~ ( r3 @ SV181 @ SY381 )
| ( SV199 @ SY381 ) ) )
= $true )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(903,plain,
! [SV200: $i > $o,SV182: $i] :
( ( ( ~ ~ ! [SY383: $i] :
( ~ ( r3 @ SV182 @ SY383 )
| ( SV200 @ SY383 ) ) )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(904,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ( ~ ! [SY386: $i] :
( ~ ( r1 @ SV183 @ SY386 )
| ( SV201 @ SY386 ) ) )
= $true )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(905,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ( ~ ! [SY389: $i] :
( ~ ( r3 @ SV184 @ SY389 )
| ( SV202 @ SY389 ) ) )
= $true )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(906,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ( ~ ! [SY392: $i] :
( ~ ( r2 @ SV185 @ SY392 )
| ( SV203 @ SY392 ) ) )
= $true )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(907,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ( ~ ! [SY395: $i] :
( ~ ( r1 @ SV186 @ SY395 )
| ( SV204 @ SY395 ) ) )
= $true )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(908,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ( ~ ! [SY398: $i] :
( ~ ( r2 @ SV187 @ SY398 )
| ( SV205 @ SY398 ) ) )
= $true )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(909,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ( ~ ! [SY401: $i] :
( ~ ( r3 @ SV188 @ SY401 )
| ( SV206 @ SY401 ) ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(910,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ( ! [SY352: $i] :
( ~ ( r1 @ SV171 @ SY352 )
| ( SV189 @ SY352 ) ) )
= $false )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(911,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ( ! [SY355: $i] :
( ~ ( r2 @ SV172 @ SY355 )
| ( SV190 @ SY355 ) ) )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(912,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ( ! [SY358: $i] :
( ~ ( r3 @ SV173 @ SY358 )
| ( SV191 @ SY358 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(913,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ! [SY360: $i] :
( ~ ( r1 @ SV174 @ SY360 )
| ( SV192 @ SY360 ) ) )
= $false )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(914,plain,
! [SV193: $i > $o,SV175: $i] :
( ( ( ~ ! [SY362: $i] :
( ~ ( r2 @ SV175 @ SY362 )
| ( SV193 @ SY362 ) ) )
= $false )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(915,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ( ! [SY365: $i] :
( ~ ( r2 @ SV176 @ SY365 )
| ( SV194 @ SY365 ) ) )
= $false )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(916,plain,
! [SV195: $i > $o,SV177: $i] :
( ( ( ~ ! [SY367: $i] :
( ~ ( r1 @ SV177 @ SY367 )
| ( SV195 @ SY367 ) ) )
= $false )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(917,plain,
( ( ~ ~ ! [SY404: $i] :
( ~ ( r1 @ sK57_SX0 @ SY404 )
| ( sK58_SY370 @ SY404 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(918,plain,
( ( ! [SY405: $i] :
( ~ ( r3 @ sK57_SX0 @ SY405 )
| ~ ! [SY406: $i] :
( ~ ( r1 @ SY405 @ SY406 )
| ( sK58_SY370 @ SY406 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[898]) ).
thf(919,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ! [SY374: $i] :
( ~ ( r2 @ SV178 @ SY374 )
| ( SV196 @ SY374 ) ) )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(920,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ( ! [SY376: $i] :
( ~ ( r3 @ SV179 @ SY376 )
| ( SV197 @ SY376 ) ) )
= $false )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(921,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ( ! [SY378: $i] :
( ~ ( r3 @ SV180 @ SY378 )
| ( SV198 @ SY378 ) ) )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(922,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ! [SY381: $i] :
( ~ ( r3 @ SV181 @ SY381 )
| ( SV199 @ SY381 ) ) )
= $false )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(923,plain,
! [SV200: $i > $o,SV182: $i] :
( ( ( ~ ! [SY383: $i] :
( ~ ( r3 @ SV182 @ SY383 )
| ( SV200 @ SY383 ) ) )
= $false )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(924,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ( ! [SY386: $i] :
( ~ ( r1 @ SV183 @ SY386 )
| ( SV201 @ SY386 ) ) )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(925,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ( ! [SY389: $i] :
( ~ ( r3 @ SV184 @ SY389 )
| ( SV202 @ SY389 ) ) )
= $false )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(926,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ( ! [SY392: $i] :
( ~ ( r2 @ SV185 @ SY392 )
| ( SV203 @ SY392 ) ) )
= $false )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(927,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ( ! [SY395: $i] :
( ~ ( r1 @ SV186 @ SY395 )
| ( SV204 @ SY395 ) ) )
= $false )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(928,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ( ! [SY398: $i] :
( ~ ( r2 @ SV187 @ SY398 )
| ( SV205 @ SY398 ) ) )
= $false )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(929,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ( ! [SY401: $i] :
( ~ ( r3 @ SV188 @ SY401 )
| ( SV206 @ SY401 ) ) )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(930,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ( ~ ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
| ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) ) )
= $false )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[910]) ).
thf(931,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
| ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) ) )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[911]) ).
thf(932,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ( ~ ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) )
| ( SV191 @ ( sK61_SY358 @ SV191 @ SV173 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[912]) ).
thf(933,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
| ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) ) )
= $false )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[913]) ).
thf(934,plain,
! [SV193: $i > $o,SV175: $i] :
( ( ( ! [SY362: $i] :
( ~ ( r2 @ SV175 @ SY362 )
| ( SV193 @ SY362 ) ) )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(935,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ( ~ ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) )
| ( SV194 @ ( sK63_SY365 @ SV194 @ SV176 ) ) )
= $false )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[915]) ).
thf(936,plain,
! [SV195: $i > $o,SV177: $i] :
( ( ( ! [SY367: $i] :
( ~ ( r1 @ SV177 @ SY367 )
| ( SV195 @ SY367 ) ) )
= $true )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(937,plain,
( ( ~ ! [SY404: $i] :
( ~ ( r1 @ sK57_SX0 @ SY404 )
| ( sK58_SY370 @ SY404 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(938,plain,
( ( ~ ( r3 @ sK57_SX0 @ sK64_SY405 )
| ~ ! [SY407: $i] :
( ~ ( r1 @ sK64_SY405 @ SY407 )
| ( sK58_SY370 @ SY407 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[918]) ).
thf(939,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
| ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) ) )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(940,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ( ~ ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) )
| ( SV197 @ ( sK66_SY376 @ SV197 @ SV179 ) ) )
= $false )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[920]) ).
thf(941,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ( ~ ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
| ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) ) )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[921]) ).
thf(942,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
| ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) ) )
= $false )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[922]) ).
thf(943,plain,
! [SV200: $i > $o,SV182: $i] :
( ( ( ! [SY383: $i] :
( ~ ( r3 @ SV182 @ SY383 )
| ( SV200 @ SY383 ) ) )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(944,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ( ~ ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
| ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) ) )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[924]) ).
thf(945,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ( ~ ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
| ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) ) )
= $false )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(946,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ( ~ ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
| ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) ) )
= $false )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[926]) ).
thf(947,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
| ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) ) )
= $false )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[927]) ).
thf(948,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ( ~ ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
| ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) ) )
= $false )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[928]) ).
thf(949,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
| ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) ) )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[929]) ).
thf(950,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ( ~ ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) ) )
= $false )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(951,plain,
! [SV171: $i,SV189: $i > $o] :
( ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(952,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) ) )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(953,plain,
! [SV172: $i,SV190: $i > $o] :
( ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(954,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ( ~ ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(955,plain,
! [SV173: $i,SV191: $i > $o] :
( ( ( SV191 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $false )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(956,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) ) )
= $false )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(957,plain,
! [SV174: $i,SV192: $i > $o] :
( ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(958,plain,
! [SV193: $i > $o,SV207: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV207 )
| ( SV193 @ SV207 ) )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(959,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ( ~ ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) ) )
= $false )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(960,plain,
! [SV176: $i,SV194: $i > $o] :
( ( ( SV194 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $false )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(961,plain,
! [SV195: $i > $o,SV208: $i,SV177: $i] :
( ( ( ~ ( r1 @ SV177 @ SV208 )
| ( SV195 @ SV208 ) )
= $true )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(962,plain,
( ( ! [SY404: $i] :
( ~ ( r1 @ sK57_SX0 @ SY404 )
| ( sK58_SY370 @ SY404 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(963,plain,
( ( ~ ( r3 @ sK57_SX0 @ sK64_SY405 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(964,plain,
( ( ~ ! [SY407: $i] :
( ~ ( r1 @ sK64_SY405 @ SY407 )
| ( sK58_SY370 @ SY407 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(965,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) ) )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(966,plain,
! [SV178: $i,SV196: $i > $o] :
( ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(967,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ( ~ ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) ) )
= $false )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(968,plain,
! [SV179: $i,SV197: $i > $o] :
( ( ( SV197 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $false )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(969,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ( ~ ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) ) )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(970,plain,
! [SV180: $i,SV198: $i > $o] :
( ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(971,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) ) )
= $false )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(972,plain,
! [SV181: $i,SV199: $i > $o] :
( ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(973,plain,
! [SV200: $i > $o,SV209: $i,SV182: $i] :
( ( ( ~ ( r3 @ SV182 @ SV209 )
| ( SV200 @ SV209 ) )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(974,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ( ~ ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) ) )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(975,plain,
! [SV183: $i,SV201: $i > $o] :
( ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(976,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ( ~ ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) ) )
= $false )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(977,plain,
! [SV184: $i,SV202: $i > $o] :
( ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(978,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ( ~ ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) ) )
= $false )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(979,plain,
! [SV185: $i,SV203: $i > $o] :
( ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(980,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) ) )
= $false )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(981,plain,
! [SV186: $i,SV204: $i > $o] :
( ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(982,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ( ~ ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) ) )
= $false )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(983,plain,
! [SV187: $i,SV205: $i > $o] :
( ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(984,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) ) )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(985,plain,
! [SV188: $i,SV206: $i > $o] :
( ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(986,plain,
! [SV189: $i > $o,SV171: $i] :
( ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true )
| ( ( ! [SY353: $i] :
( ~ ( r2 @ SV171 @ SY353 )
| ! [SY354: $i] :
( ~ ( r1 @ SY353 @ SY354 )
| ( SV189 @ SY354 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(987,plain,
! [SV189: $i > $o,SV210: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV210 )
| ! [SY408: $i] :
( ~ ( r1 @ SV210 @ SY408 )
| ( SV189 @ SY408 ) ) )
= $true )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(988,plain,
! [SV190: $i > $o,SV172: $i] :
( ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true )
| ( ( ! [SY356: $i] :
( ~ ( r2 @ SV172 @ SY356 )
| ! [SY357: $i] :
( ~ ( r2 @ SY356 @ SY357 )
| ( SV190 @ SY357 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(989,plain,
! [SV190: $i > $o,SV211: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV211 )
| ! [SY409: $i] :
( ~ ( r2 @ SV211 @ SY409 )
| ( SV190 @ SY409 ) ) )
= $true )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(990,plain,
! [SV191: $i > $o,SV173: $i] :
( ( ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $true )
| ( ( ! [SY359: $i] :
( ~ ( r1 @ SV173 @ SY359 )
| ( SV191 @ SY359 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[954]) ).
thf(991,plain,
! [SV191: $i > $o,SV212: $i,SV173: $i] :
( ( ( ~ ( r1 @ SV173 @ SV212 )
| ( SV191 @ SV212 ) )
= $true )
| ( ( SV191 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(992,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true )
| ( ( ~ ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[956]) ).
thf(993,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $false )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(994,plain,
! [SV193: $i > $o,SV207: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV207 ) )
= $true )
| ( ( SV193 @ SV207 )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(995,plain,
! [SV194: $i > $o,SV176: $i] :
( ( ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $true )
| ( ( ! [SY366: $i] :
( ~ ( r1 @ SV176 @ SY366 )
| ( SV194 @ SY366 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[959]) ).
thf(996,plain,
! [SV194: $i > $o,SV213: $i,SV176: $i] :
( ( ( ~ ( r1 @ SV176 @ SV213 )
| ( SV194 @ SV213 ) )
= $true )
| ( ( SV194 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(997,plain,
! [SV195: $i > $o,SV208: $i,SV177: $i] :
( ( ( ~ ( r1 @ SV177 @ SV208 ) )
= $true )
| ( ( SV195 @ SV208 )
= $true )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(998,plain,
( ( ~ ( r1 @ sK57_SX0 @ sK75_SY404 )
| ( sK58_SY370 @ sK75_SY404 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[962]) ).
thf(999,plain,
( ( r3 @ sK57_SX0 @ sK64_SY405 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1000,plain,
( ( ! [SY407: $i] :
( ~ ( r1 @ sK64_SY405 @ SY407 )
| ( sK58_SY370 @ SY407 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1001,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true )
| ( ( ~ ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1002,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $false )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1003,plain,
! [SV197: $i > $o,SV179: $i] :
( ( ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $true )
| ( ( ! [SY377: $i] :
( ~ ( r2 @ SV179 @ SY377 )
| ( SV197 @ SY377 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1004,plain,
! [SV197: $i > $o,SV214: $i,SV179: $i] :
( ( ( ~ ( r2 @ SV179 @ SV214 )
| ( SV197 @ SV214 ) )
= $true )
| ( ( SV197 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1005,plain,
! [SV198: $i > $o,SV180: $i] :
( ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true )
| ( ( ! [SY379: $i] :
( ~ ( r2 @ SV180 @ SY379 )
| ! [SY380: $i] :
( ~ ( r3 @ SY379 @ SY380 )
| ( SV198 @ SY380 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1006,plain,
! [SV198: $i > $o,SV215: $i,SV180: $i] :
( ( ( ~ ( r2 @ SV180 @ SV215 )
| ! [SY410: $i] :
( ~ ( r3 @ SV215 @ SY410 )
| ( SV198 @ SY410 ) ) )
= $true )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1007,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true )
| ( ( ~ ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1008,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $false )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1009,plain,
! [SV200: $i > $o,SV209: $i,SV182: $i] :
( ( ( ~ ( r3 @ SV182 @ SV209 ) )
= $true )
| ( ( SV200 @ SV209 )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1010,plain,
! [SV201: $i > $o,SV183: $i] :
( ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true )
| ( ( ! [SY387: $i] :
( ~ ( r3 @ SV183 @ SY387 )
| ! [SY388: $i] :
( ~ ( r1 @ SY387 @ SY388 )
| ( SV201 @ SY388 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1011,plain,
! [SV201: $i > $o,SV216: $i,SV183: $i] :
( ( ( ~ ( r3 @ SV183 @ SV216 )
| ! [SY411: $i] :
( ~ ( r1 @ SV216 @ SY411 )
| ( SV201 @ SY411 ) ) )
= $true )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1012,plain,
! [SV202: $i > $o,SV184: $i] :
( ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true )
| ( ( ! [SY390: $i] :
( ~ ( r1 @ SV184 @ SY390 )
| ! [SY391: $i] :
( ~ ( r3 @ SY390 @ SY391 )
| ( SV202 @ SY391 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1013,plain,
! [SV202: $i > $o,SV217: $i,SV184: $i] :
( ( ( ~ ( r1 @ SV184 @ SV217 )
| ! [SY412: $i] :
( ~ ( r3 @ SV217 @ SY412 )
| ( SV202 @ SY412 ) ) )
= $true )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1014,plain,
! [SV203: $i > $o,SV185: $i] :
( ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true )
| ( ( ! [SY393: $i] :
( ~ ( r1 @ SV185 @ SY393 )
| ! [SY394: $i] :
( ~ ( r2 @ SY393 @ SY394 )
| ( SV203 @ SY394 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1015,plain,
! [SV203: $i > $o,SV218: $i,SV185: $i] :
( ( ( ~ ( r1 @ SV185 @ SV218 )
| ! [SY413: $i] :
( ~ ( r2 @ SV218 @ SY413 )
| ( SV203 @ SY413 ) ) )
= $true )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1016,plain,
! [SV204: $i > $o,SV186: $i] :
( ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true )
| ( ( ! [SY396: $i] :
( ~ ( r1 @ SV186 @ SY396 )
| ! [SY397: $i] :
( ~ ( r1 @ SY396 @ SY397 )
| ( SV204 @ SY397 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1017,plain,
! [SV204: $i > $o,SV219: $i,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ SV219 )
| ! [SY414: $i] :
( ~ ( r1 @ SV219 @ SY414 )
| ( SV204 @ SY414 ) ) )
= $true )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1018,plain,
! [SV205: $i > $o,SV187: $i] :
( ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true )
| ( ( ! [SY399: $i] :
( ~ ( r3 @ SV187 @ SY399 )
| ! [SY400: $i] :
( ~ ( r2 @ SY399 @ SY400 )
| ( SV205 @ SY400 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1019,plain,
! [SV205: $i > $o,SV220: $i,SV187: $i] :
( ( ( ~ ( r3 @ SV187 @ SV220 )
| ! [SY415: $i] :
( ~ ( r2 @ SV220 @ SY415 )
| ( SV205 @ SY415 ) ) )
= $true )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[983]) ).
thf(1020,plain,
! [SV206: $i > $o,SV188: $i] :
( ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true )
| ( ( ! [SY402: $i] :
( ~ ( r3 @ SV188 @ SY402 )
| ! [SY403: $i] :
( ~ ( r3 @ SY402 @ SY403 )
| ( SV206 @ SY403 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1021,plain,
! [SV206: $i > $o,SV221: $i,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ SV221 )
| ! [SY416: $i] :
( ~ ( r3 @ SV221 @ SY416 )
| ( SV206 @ SY416 ) ) )
= $true )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1022,plain,
! [SV189: $i > $o,SV222: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV222 )
| ! [SY417: $i] :
( ~ ( r1 @ SV222 @ SY417 )
| ( SV189 @ SY417 ) ) )
= $true )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1023,plain,
! [SV189: $i > $o,SV210: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV210 ) )
= $true )
| ( ( ! [SY408: $i] :
( ~ ( r1 @ SV210 @ SY408 )
| ( SV189 @ SY408 ) ) )
= $true )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1024,plain,
! [SV190: $i > $o,SV223: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV223 )
| ! [SY418: $i] :
( ~ ( r2 @ SV223 @ SY418 )
| ( SV190 @ SY418 ) ) )
= $true )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1025,plain,
! [SV190: $i > $o,SV211: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV211 ) )
= $true )
| ( ( ! [SY409: $i] :
( ~ ( r2 @ SV211 @ SY409 )
| ( SV190 @ SY409 ) ) )
= $true )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1026,plain,
! [SV191: $i > $o,SV224: $i,SV173: $i] :
( ( ( ~ ( r1 @ SV173 @ SV224 )
| ( SV191 @ SV224 ) )
= $true )
| ( ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[990]) ).
thf(1027,plain,
! [SV191: $i > $o,SV212: $i,SV173: $i] :
( ( ( ~ ( r1 @ SV173 @ SV212 ) )
= $true )
| ( ( SV191 @ SV212 )
= $true )
| ( ( SV191 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1028,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ! [SY361: $i] :
( ~ ( r1 @ SV174 @ SY361 )
| ~ ( SV192 @ SY361 ) ) )
= $false )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1029,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK76_SY361 @ SV192 @ SV174 ) )
| ~ ( SV192 @ ( sK76_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[993]) ).
thf(1030,plain,
! [SV193: $i > $o,SV207: $i,SV175: $i] :
( ( ( r2 @ SV175 @ SV207 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( ! [SY363: $i] :
( ~ ( r2 @ SV175 @ SY363 )
| ~ ! [SY364: $i] :
( ~ ( r2 @ SY363 @ SY364 )
| ( SV193 @ SY364 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1031,plain,
! [SV194: $i > $o,SV225: $i,SV176: $i] :
( ( ( ~ ( r1 @ SV176 @ SV225 )
| ( SV194 @ SV225 ) )
= $true )
| ( ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1032,plain,
! [SV194: $i > $o,SV213: $i,SV176: $i] :
( ( ( ~ ( r1 @ SV176 @ SV213 ) )
= $true )
| ( ( SV194 @ SV213 )
= $true )
| ( ( SV194 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1033,plain,
! [SV195: $i > $o,SV208: $i,SV177: $i] :
( ( ( r1 @ SV177 @ SV208 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( ! [SY368: $i] :
( ~ ( r1 @ SV177 @ SY368 )
| ~ ! [SY369: $i] :
( ~ ( r1 @ SY368 @ SY369 )
| ( SV195 @ SY369 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1034,plain,
( ( ~ ( r1 @ sK57_SX0 @ sK75_SY404 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1035,plain,
( ( sK58_SY370 @ sK75_SY404 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1036,plain,
! [SV226: $i] :
( ( ~ ( r1 @ sK64_SY405 @ SV226 )
| ( sK58_SY370 @ SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1000]) ).
thf(1037,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ! [SY375: $i] :
( ~ ( r2 @ SV178 @ SY375 )
| ~ ( SV196 @ SY375 ) ) )
= $false )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1038,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK77_SY375 @ SV196 @ SV178 ) )
| ~ ( SV196 @ ( sK77_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1002]) ).
thf(1039,plain,
! [SV197: $i > $o,SV227: $i,SV179: $i] :
( ( ( ~ ( r2 @ SV179 @ SV227 )
| ( SV197 @ SV227 ) )
= $true )
| ( ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1003]) ).
thf(1040,plain,
! [SV197: $i > $o,SV214: $i,SV179: $i] :
( ( ( ~ ( r2 @ SV179 @ SV214 ) )
= $true )
| ( ( SV197 @ SV214 )
= $true )
| ( ( SV197 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1004]) ).
thf(1041,plain,
! [SV198: $i > $o,SV228: $i,SV180: $i] :
( ( ( ~ ( r2 @ SV180 @ SV228 )
| ! [SY419: $i] :
( ~ ( r3 @ SV228 @ SY419 )
| ( SV198 @ SY419 ) ) )
= $true )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1042,plain,
! [SV198: $i > $o,SV215: $i,SV180: $i] :
( ( ( ~ ( r2 @ SV180 @ SV215 ) )
= $true )
| ( ( ! [SY410: $i] :
( ~ ( r3 @ SV215 @ SY410 )
| ( SV198 @ SY410 ) ) )
= $true )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1043,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ! [SY382: $i] :
( ~ ( r3 @ SV181 @ SY382 )
| ~ ( SV199 @ SY382 ) ) )
= $false )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1044,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK78_SY382 @ SV199 @ SV181 ) )
| ~ ( SV199 @ ( sK78_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1008]) ).
thf(1045,plain,
! [SV200: $i > $o,SV209: $i,SV182: $i] :
( ( ( r3 @ SV182 @ SV209 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( ! [SY384: $i] :
( ~ ( r3 @ SV182 @ SY384 )
| ~ ! [SY385: $i] :
( ~ ( r3 @ SY384 @ SY385 )
| ( SV200 @ SY385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1046,plain,
! [SV201: $i > $o,SV229: $i,SV183: $i] :
( ( ( ~ ( r3 @ SV183 @ SV229 )
| ! [SY420: $i] :
( ~ ( r1 @ SV229 @ SY420 )
| ( SV201 @ SY420 ) ) )
= $true )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1047,plain,
! [SV201: $i > $o,SV216: $i,SV183: $i] :
( ( ( ~ ( r3 @ SV183 @ SV216 ) )
= $true )
| ( ( ! [SY411: $i] :
( ~ ( r1 @ SV216 @ SY411 )
| ( SV201 @ SY411 ) ) )
= $true )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1011]) ).
thf(1048,plain,
! [SV202: $i > $o,SV230: $i,SV184: $i] :
( ( ( ~ ( r1 @ SV184 @ SV230 )
| ! [SY421: $i] :
( ~ ( r3 @ SV230 @ SY421 )
| ( SV202 @ SY421 ) ) )
= $true )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1012]) ).
thf(1049,plain,
! [SV202: $i > $o,SV217: $i,SV184: $i] :
( ( ( ~ ( r1 @ SV184 @ SV217 ) )
= $true )
| ( ( ! [SY412: $i] :
( ~ ( r3 @ SV217 @ SY412 )
| ( SV202 @ SY412 ) ) )
= $true )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1050,plain,
! [SV203: $i > $o,SV231: $i,SV185: $i] :
( ( ( ~ ( r1 @ SV185 @ SV231 )
| ! [SY422: $i] :
( ~ ( r2 @ SV231 @ SY422 )
| ( SV203 @ SY422 ) ) )
= $true )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1014]) ).
thf(1051,plain,
! [SV203: $i > $o,SV218: $i,SV185: $i] :
( ( ( ~ ( r1 @ SV185 @ SV218 ) )
= $true )
| ( ( ! [SY413: $i] :
( ~ ( r2 @ SV218 @ SY413 )
| ( SV203 @ SY413 ) ) )
= $true )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1015]) ).
thf(1052,plain,
! [SV204: $i > $o,SV232: $i,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ SV232 )
| ! [SY423: $i] :
( ~ ( r1 @ SV232 @ SY423 )
| ( SV204 @ SY423 ) ) )
= $true )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1016]) ).
thf(1053,plain,
! [SV204: $i > $o,SV219: $i,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ SV219 ) )
= $true )
| ( ( ! [SY414: $i] :
( ~ ( r1 @ SV219 @ SY414 )
| ( SV204 @ SY414 ) ) )
= $true )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1054,plain,
! [SV205: $i > $o,SV233: $i,SV187: $i] :
( ( ( ~ ( r3 @ SV187 @ SV233 )
| ! [SY424: $i] :
( ~ ( r2 @ SV233 @ SY424 )
| ( SV205 @ SY424 ) ) )
= $true )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1018]) ).
thf(1055,plain,
! [SV205: $i > $o,SV220: $i,SV187: $i] :
( ( ( ~ ( r3 @ SV187 @ SV220 ) )
= $true )
| ( ( ! [SY415: $i] :
( ~ ( r2 @ SV220 @ SY415 )
| ( SV205 @ SY415 ) ) )
= $true )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1019]) ).
thf(1056,plain,
! [SV206: $i > $o,SV234: $i,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ SV234 )
| ! [SY425: $i] :
( ~ ( r3 @ SV234 @ SY425 )
| ( SV206 @ SY425 ) ) )
= $true )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1057,plain,
! [SV206: $i > $o,SV221: $i,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ SV221 ) )
= $true )
| ( ( ! [SY416: $i] :
( ~ ( r3 @ SV221 @ SY416 )
| ( SV206 @ SY416 ) ) )
= $true )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1058,plain,
! [SV189: $i > $o,SV222: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV222 ) )
= $true )
| ( ( ! [SY417: $i] :
( ~ ( r1 @ SV222 @ SY417 )
| ( SV189 @ SY417 ) ) )
= $true )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1059,plain,
! [SV189: $i > $o,SV210: $i,SV171: $i] :
( ( ( r2 @ SV171 @ SV210 )
= $false )
| ( ( ! [SY408: $i] :
( ~ ( r1 @ SV210 @ SY408 )
| ( SV189 @ SY408 ) ) )
= $true )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1060,plain,
! [SV190: $i > $o,SV223: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV223 ) )
= $true )
| ( ( ! [SY418: $i] :
( ~ ( r2 @ SV223 @ SY418 )
| ( SV190 @ SY418 ) ) )
= $true )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1061,plain,
! [SV190: $i > $o,SV211: $i,SV172: $i] :
( ( ( r2 @ SV172 @ SV211 )
= $false )
| ( ( ! [SY409: $i] :
( ~ ( r2 @ SV211 @ SY409 )
| ( SV190 @ SY409 ) ) )
= $true )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1062,plain,
! [SV191: $i > $o,SV224: $i,SV173: $i] :
( ( ( ~ ( r1 @ SV173 @ SV224 ) )
= $true )
| ( ( SV191 @ SV224 )
= $true )
| ( ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1063,plain,
! [SV191: $i > $o,SV212: $i,SV173: $i] :
( ( ( r1 @ SV173 @ SV212 )
= $false )
| ( ( SV191 @ SV212 )
= $true )
| ( ( SV191 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1064,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK79_SY361 @ SV192 @ SV174 ) )
| ~ ( SV192 @ ( sK79_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1028]) ).
thf(1065,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK76_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1066,plain,
! [SV174: $i,SV192: $i > $o] :
( ( ( ~ ( SV192 @ ( sK76_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1067,plain,
! [SV207: $i,SV193: $i > $o,SV235: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV235 )
| ~ ! [SY426: $i] :
( ~ ( r2 @ SV235 @ SY426 )
| ( SV193 @ SY426 ) ) )
= $true )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1068,plain,
! [SV194: $i > $o,SV225: $i,SV176: $i] :
( ( ( ~ ( r1 @ SV176 @ SV225 ) )
= $true )
| ( ( SV194 @ SV225 )
= $true )
| ( ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1069,plain,
! [SV194: $i > $o,SV213: $i,SV176: $i] :
( ( ( r1 @ SV176 @ SV213 )
= $false )
| ( ( SV194 @ SV213 )
= $true )
| ( ( SV194 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1070,plain,
! [SV208: $i,SV195: $i > $o,SV236: $i,SV177: $i] :
( ( ( ~ ( r1 @ SV177 @ SV236 )
| ~ ! [SY427: $i] :
( ~ ( r1 @ SV236 @ SY427 )
| ( SV195 @ SY427 ) ) )
= $true )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1071,plain,
( ( r1 @ sK57_SX0 @ sK75_SY404 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1072,plain,
! [SV226: $i] :
( ( ( ~ ( r1 @ sK64_SY405 @ SV226 ) )
= $true )
| ( ( sK58_SY370 @ SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1073,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK80_SY375 @ SV196 @ SV178 ) )
| ~ ( SV196 @ ( sK80_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1037]) ).
thf(1074,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK77_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1075,plain,
! [SV178: $i,SV196: $i > $o] :
( ( ( ~ ( SV196 @ ( sK77_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1038]) ).
thf(1076,plain,
! [SV197: $i > $o,SV227: $i,SV179: $i] :
( ( ( ~ ( r2 @ SV179 @ SV227 ) )
= $true )
| ( ( SV197 @ SV227 )
= $true )
| ( ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1077,plain,
! [SV197: $i > $o,SV214: $i,SV179: $i] :
( ( ( r2 @ SV179 @ SV214 )
= $false )
| ( ( SV197 @ SV214 )
= $true )
| ( ( SV197 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1078,plain,
! [SV198: $i > $o,SV228: $i,SV180: $i] :
( ( ( ~ ( r2 @ SV180 @ SV228 ) )
= $true )
| ( ( ! [SY419: $i] :
( ~ ( r3 @ SV228 @ SY419 )
| ( SV198 @ SY419 ) ) )
= $true )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1041]) ).
thf(1079,plain,
! [SV198: $i > $o,SV215: $i,SV180: $i] :
( ( ( r2 @ SV180 @ SV215 )
= $false )
| ( ( ! [SY410: $i] :
( ~ ( r3 @ SV215 @ SY410 )
| ( SV198 @ SY410 ) ) )
= $true )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1080,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK81_SY382 @ SV199 @ SV181 ) )
| ~ ( SV199 @ ( sK81_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1043]) ).
thf(1081,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK78_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1082,plain,
! [SV181: $i,SV199: $i > $o] :
( ( ( ~ ( SV199 @ ( sK78_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1083,plain,
! [SV209: $i,SV200: $i > $o,SV237: $i,SV182: $i] :
( ( ( ~ ( r3 @ SV182 @ SV237 )
| ~ ! [SY428: $i] :
( ~ ( r3 @ SV237 @ SY428 )
| ( SV200 @ SY428 ) ) )
= $true )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1084,plain,
! [SV201: $i > $o,SV229: $i,SV183: $i] :
( ( ( ~ ( r3 @ SV183 @ SV229 ) )
= $true )
| ( ( ! [SY420: $i] :
( ~ ( r1 @ SV229 @ SY420 )
| ( SV201 @ SY420 ) ) )
= $true )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1085,plain,
! [SV201: $i > $o,SV216: $i,SV183: $i] :
( ( ( r3 @ SV183 @ SV216 )
= $false )
| ( ( ! [SY411: $i] :
( ~ ( r1 @ SV216 @ SY411 )
| ( SV201 @ SY411 ) ) )
= $true )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1086,plain,
! [SV202: $i > $o,SV230: $i,SV184: $i] :
( ( ( ~ ( r1 @ SV184 @ SV230 ) )
= $true )
| ( ( ! [SY421: $i] :
( ~ ( r3 @ SV230 @ SY421 )
| ( SV202 @ SY421 ) ) )
= $true )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1087,plain,
! [SV202: $i > $o,SV217: $i,SV184: $i] :
( ( ( r1 @ SV184 @ SV217 )
= $false )
| ( ( ! [SY412: $i] :
( ~ ( r3 @ SV217 @ SY412 )
| ( SV202 @ SY412 ) ) )
= $true )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1049]) ).
thf(1088,plain,
! [SV203: $i > $o,SV231: $i,SV185: $i] :
( ( ( ~ ( r1 @ SV185 @ SV231 ) )
= $true )
| ( ( ! [SY422: $i] :
( ~ ( r2 @ SV231 @ SY422 )
| ( SV203 @ SY422 ) ) )
= $true )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1089,plain,
! [SV203: $i > $o,SV218: $i,SV185: $i] :
( ( ( r1 @ SV185 @ SV218 )
= $false )
| ( ( ! [SY413: $i] :
( ~ ( r2 @ SV218 @ SY413 )
| ( SV203 @ SY413 ) ) )
= $true )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1090,plain,
! [SV204: $i > $o,SV232: $i,SV186: $i] :
( ( ( ~ ( r1 @ SV186 @ SV232 ) )
= $true )
| ( ( ! [SY423: $i] :
( ~ ( r1 @ SV232 @ SY423 )
| ( SV204 @ SY423 ) ) )
= $true )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1091,plain,
! [SV204: $i > $o,SV219: $i,SV186: $i] :
( ( ( r1 @ SV186 @ SV219 )
= $false )
| ( ( ! [SY414: $i] :
( ~ ( r1 @ SV219 @ SY414 )
| ( SV204 @ SY414 ) ) )
= $true )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1092,plain,
! [SV205: $i > $o,SV233: $i,SV187: $i] :
( ( ( ~ ( r3 @ SV187 @ SV233 ) )
= $true )
| ( ( ! [SY424: $i] :
( ~ ( r2 @ SV233 @ SY424 )
| ( SV205 @ SY424 ) ) )
= $true )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1093,plain,
! [SV205: $i > $o,SV220: $i,SV187: $i] :
( ( ( r3 @ SV187 @ SV220 )
= $false )
| ( ( ! [SY415: $i] :
( ~ ( r2 @ SV220 @ SY415 )
| ( SV205 @ SY415 ) ) )
= $true )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1094,plain,
! [SV206: $i > $o,SV234: $i,SV188: $i] :
( ( ( ~ ( r3 @ SV188 @ SV234 ) )
= $true )
| ( ( ! [SY425: $i] :
( ~ ( r3 @ SV234 @ SY425 )
| ( SV206 @ SY425 ) ) )
= $true )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1095,plain,
! [SV206: $i > $o,SV221: $i,SV188: $i] :
( ( ( r3 @ SV188 @ SV221 )
= $false )
| ( ( ! [SY416: $i] :
( ~ ( r3 @ SV221 @ SY416 )
| ( SV206 @ SY416 ) ) )
= $true )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1096,plain,
! [SV189: $i > $o,SV222: $i,SV171: $i] :
( ( ( r2 @ SV171 @ SV222 )
= $false )
| ( ( ! [SY417: $i] :
( ~ ( r1 @ SV222 @ SY417 )
| ( SV189 @ SY417 ) ) )
= $true )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1097,plain,
! [SV171: $i,SV189: $i > $o,SV238: $i,SV210: $i] :
( ( ( ~ ( r1 @ SV210 @ SV238 )
| ( SV189 @ SV238 ) )
= $true )
| ( ( r2 @ SV171 @ SV210 )
= $false )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1098,plain,
! [SV190: $i > $o,SV223: $i,SV172: $i] :
( ( ( r2 @ SV172 @ SV223 )
= $false )
| ( ( ! [SY418: $i] :
( ~ ( r2 @ SV223 @ SY418 )
| ( SV190 @ SY418 ) ) )
= $true )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1099,plain,
! [SV172: $i,SV190: $i > $o,SV239: $i,SV211: $i] :
( ( ( ~ ( r2 @ SV211 @ SV239 )
| ( SV190 @ SV239 ) )
= $true )
| ( ( r2 @ SV172 @ SV211 )
= $false )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1100,plain,
! [SV191: $i > $o,SV224: $i,SV173: $i] :
( ( ( r1 @ SV173 @ SV224 )
= $false )
| ( ( SV191 @ SV224 )
= $true )
| ( ( r3 @ SV173 @ ( sK61_SY358 @ SV191 @ SV173 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1101,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( ~ ( r1 @ SV174 @ ( sK79_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1102,plain,
! [SV174: $i,SV192: $i > $o] :
( ( ( ~ ( SV192 @ ( sK79_SY361 @ SV192 @ SV174 ) ) )
= $false )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1103,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( r1 @ SV174 @ ( sK76_SY361 @ SV192 @ SV174 ) )
= $true )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1104,plain,
! [SV174: $i,SV192: $i > $o] :
( ( ( SV192 @ ( sK76_SY361 @ SV192 @ SV174 ) )
= $true )
| ( ( SV192 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1105,plain,
! [SV207: $i,SV193: $i > $o,SV235: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV235 ) )
= $true )
| ( ( ~ ! [SY426: $i] :
( ~ ( r2 @ SV235 @ SY426 )
| ( SV193 @ SY426 ) ) )
= $true )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1106,plain,
! [SV194: $i > $o,SV225: $i,SV176: $i] :
( ( ( r1 @ SV176 @ SV225 )
= $false )
| ( ( SV194 @ SV225 )
= $true )
| ( ( r2 @ SV176 @ ( sK63_SY365 @ SV194 @ SV176 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1107,plain,
! [SV208: $i,SV195: $i > $o,SV236: $i,SV177: $i] :
( ( ( ~ ( r1 @ SV177 @ SV236 ) )
= $true )
| ( ( ~ ! [SY427: $i] :
( ~ ( r1 @ SV236 @ SY427 )
| ( SV195 @ SY427 ) ) )
= $true )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1108,plain,
! [SV226: $i] :
( ( ( r1 @ sK64_SY405 @ SV226 )
= $false )
| ( ( sK58_SY370 @ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1109,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( ~ ( r2 @ SV178 @ ( sK80_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1110,plain,
! [SV178: $i,SV196: $i > $o] :
( ( ( ~ ( SV196 @ ( sK80_SY375 @ SV196 @ SV178 ) ) )
= $false )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1111,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( r2 @ SV178 @ ( sK77_SY375 @ SV196 @ SV178 ) )
= $true )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1112,plain,
! [SV178: $i,SV196: $i > $o] :
( ( ( SV196 @ ( sK77_SY375 @ SV196 @ SV178 ) )
= $true )
| ( ( SV196 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1113,plain,
! [SV197: $i > $o,SV227: $i,SV179: $i] :
( ( ( r2 @ SV179 @ SV227 )
= $false )
| ( ( SV197 @ SV227 )
= $true )
| ( ( r3 @ SV179 @ ( sK66_SY376 @ SV197 @ SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1114,plain,
! [SV198: $i > $o,SV228: $i,SV180: $i] :
( ( ( r2 @ SV180 @ SV228 )
= $false )
| ( ( ! [SY419: $i] :
( ~ ( r3 @ SV228 @ SY419 )
| ( SV198 @ SY419 ) ) )
= $true )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1078]) ).
thf(1115,plain,
! [SV180: $i,SV198: $i > $o,SV240: $i,SV215: $i] :
( ( ( ~ ( r3 @ SV215 @ SV240 )
| ( SV198 @ SV240 ) )
= $true )
| ( ( r2 @ SV180 @ SV215 )
= $false )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1116,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( ~ ( r3 @ SV181 @ ( sK81_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1117,plain,
! [SV181: $i,SV199: $i > $o] :
( ( ( ~ ( SV199 @ ( sK81_SY382 @ SV199 @ SV181 ) ) )
= $false )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1118,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( r3 @ SV181 @ ( sK78_SY382 @ SV199 @ SV181 ) )
= $true )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1119,plain,
! [SV181: $i,SV199: $i > $o] :
( ( ( SV199 @ ( sK78_SY382 @ SV199 @ SV181 ) )
= $true )
| ( ( SV199 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1120,plain,
! [SV209: $i,SV200: $i > $o,SV237: $i,SV182: $i] :
( ( ( ~ ( r3 @ SV182 @ SV237 ) )
= $true )
| ( ( ~ ! [SY428: $i] :
( ~ ( r3 @ SV237 @ SY428 )
| ( SV200 @ SY428 ) ) )
= $true )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1121,plain,
! [SV201: $i > $o,SV229: $i,SV183: $i] :
( ( ( r3 @ SV183 @ SV229 )
= $false )
| ( ( ! [SY420: $i] :
( ~ ( r1 @ SV229 @ SY420 )
| ( SV201 @ SY420 ) ) )
= $true )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1122,plain,
! [SV183: $i,SV201: $i > $o,SV241: $i,SV216: $i] :
( ( ( ~ ( r1 @ SV216 @ SV241 )
| ( SV201 @ SV241 ) )
= $true )
| ( ( r3 @ SV183 @ SV216 )
= $false )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1123,plain,
! [SV202: $i > $o,SV230: $i,SV184: $i] :
( ( ( r1 @ SV184 @ SV230 )
= $false )
| ( ( ! [SY421: $i] :
( ~ ( r3 @ SV230 @ SY421 )
| ( SV202 @ SY421 ) ) )
= $true )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1124,plain,
! [SV184: $i,SV202: $i > $o,SV242: $i,SV217: $i] :
( ( ( ~ ( r3 @ SV217 @ SV242 )
| ( SV202 @ SV242 ) )
= $true )
| ( ( r1 @ SV184 @ SV217 )
= $false )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1125,plain,
! [SV203: $i > $o,SV231: $i,SV185: $i] :
( ( ( r1 @ SV185 @ SV231 )
= $false )
| ( ( ! [SY422: $i] :
( ~ ( r2 @ SV231 @ SY422 )
| ( SV203 @ SY422 ) ) )
= $true )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1126,plain,
! [SV185: $i,SV203: $i > $o,SV243: $i,SV218: $i] :
( ( ( ~ ( r2 @ SV218 @ SV243 )
| ( SV203 @ SV243 ) )
= $true )
| ( ( r1 @ SV185 @ SV218 )
= $false )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1127,plain,
! [SV204: $i > $o,SV232: $i,SV186: $i] :
( ( ( r1 @ SV186 @ SV232 )
= $false )
| ( ( ! [SY423: $i] :
( ~ ( r1 @ SV232 @ SY423 )
| ( SV204 @ SY423 ) ) )
= $true )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1128,plain,
! [SV186: $i,SV204: $i > $o,SV244: $i,SV219: $i] :
( ( ( ~ ( r1 @ SV219 @ SV244 )
| ( SV204 @ SV244 ) )
= $true )
| ( ( r1 @ SV186 @ SV219 )
= $false )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1129,plain,
! [SV205: $i > $o,SV233: $i,SV187: $i] :
( ( ( r3 @ SV187 @ SV233 )
= $false )
| ( ( ! [SY424: $i] :
( ~ ( r2 @ SV233 @ SY424 )
| ( SV205 @ SY424 ) ) )
= $true )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1092]) ).
thf(1130,plain,
! [SV187: $i,SV205: $i > $o,SV245: $i,SV220: $i] :
( ( ( ~ ( r2 @ SV220 @ SV245 )
| ( SV205 @ SV245 ) )
= $true )
| ( ( r3 @ SV187 @ SV220 )
= $false )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1131,plain,
! [SV206: $i > $o,SV234: $i,SV188: $i] :
( ( ( r3 @ SV188 @ SV234 )
= $false )
| ( ( ! [SY425: $i] :
( ~ ( r3 @ SV234 @ SY425 )
| ( SV206 @ SY425 ) ) )
= $true )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1132,plain,
! [SV188: $i,SV206: $i > $o,SV246: $i,SV221: $i] :
( ( ( ~ ( r3 @ SV221 @ SV246 )
| ( SV206 @ SV246 ) )
= $true )
| ( ( r3 @ SV188 @ SV221 )
= $false )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1133,plain,
! [SV171: $i,SV189: $i > $o,SV247: $i,SV222: $i] :
( ( ( ~ ( r1 @ SV222 @ SV247 )
| ( SV189 @ SV247 ) )
= $true )
| ( ( r2 @ SV171 @ SV222 )
= $false )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1134,plain,
! [SV171: $i,SV189: $i > $o,SV238: $i,SV210: $i] :
( ( ( ~ ( r1 @ SV210 @ SV238 ) )
= $true )
| ( ( SV189 @ SV238 )
= $true )
| ( ( r2 @ SV171 @ SV210 )
= $false )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1097]) ).
thf(1135,plain,
! [SV172: $i,SV190: $i > $o,SV248: $i,SV223: $i] :
( ( ( ~ ( r2 @ SV223 @ SV248 )
| ( SV190 @ SV248 ) )
= $true )
| ( ( r2 @ SV172 @ SV223 )
= $false )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1136,plain,
! [SV172: $i,SV190: $i > $o,SV239: $i,SV211: $i] :
( ( ( ~ ( r2 @ SV211 @ SV239 ) )
= $true )
| ( ( SV190 @ SV239 )
= $true )
| ( ( r2 @ SV172 @ SV211 )
= $false )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1137,plain,
! [SV192: $i > $o,SV174: $i] :
( ( ( r1 @ SV174 @ ( sK79_SY361 @ SV192 @ SV174 ) )
= $true )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1138,plain,
! [SV174: $i,SV192: $i > $o] :
( ( ( SV192 @ ( sK79_SY361 @ SV192 @ SV174 ) )
= $true )
| ( ( r1 @ SV174 @ ( sK62_SY360 @ SV192 @ SV174 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1139,plain,
! [SV207: $i,SV193: $i > $o,SV235: $i,SV175: $i] :
( ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( ~ ! [SY426: $i] :
( ~ ( r2 @ SV235 @ SY426 )
| ( SV193 @ SY426 ) ) )
= $true )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1140,plain,
! [SV208: $i,SV195: $i > $o,SV236: $i,SV177: $i] :
( ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( ~ ! [SY427: $i] :
( ~ ( r1 @ SV236 @ SY427 )
| ( SV195 @ SY427 ) ) )
= $true )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1141,plain,
! [SV196: $i > $o,SV178: $i] :
( ( ( r2 @ SV178 @ ( sK80_SY375 @ SV196 @ SV178 ) )
= $true )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1142,plain,
! [SV178: $i,SV196: $i > $o] :
( ( ( SV196 @ ( sK80_SY375 @ SV196 @ SV178 ) )
= $true )
| ( ( r2 @ SV178 @ ( sK65_SY374 @ SV196 @ SV178 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1143,plain,
! [SV180: $i,SV198: $i > $o,SV249: $i,SV228: $i] :
( ( ( ~ ( r3 @ SV228 @ SV249 )
| ( SV198 @ SV249 ) )
= $true )
| ( ( r2 @ SV180 @ SV228 )
= $false )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1144,plain,
! [SV180: $i,SV198: $i > $o,SV240: $i,SV215: $i] :
( ( ( ~ ( r3 @ SV215 @ SV240 ) )
= $true )
| ( ( SV198 @ SV240 )
= $true )
| ( ( r2 @ SV180 @ SV215 )
= $false )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1115]) ).
thf(1145,plain,
! [SV199: $i > $o,SV181: $i] :
( ( ( r3 @ SV181 @ ( sK81_SY382 @ SV199 @ SV181 ) )
= $true )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1146,plain,
! [SV181: $i,SV199: $i > $o] :
( ( ( SV199 @ ( sK81_SY382 @ SV199 @ SV181 ) )
= $true )
| ( ( r3 @ SV181 @ ( sK68_SY381 @ SV199 @ SV181 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1117]) ).
thf(1147,plain,
! [SV209: $i,SV200: $i > $o,SV237: $i,SV182: $i] :
( ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( ~ ! [SY428: $i] :
( ~ ( r3 @ SV237 @ SY428 )
| ( SV200 @ SY428 ) ) )
= $true )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1148,plain,
! [SV183: $i,SV201: $i > $o,SV250: $i,SV229: $i] :
( ( ( ~ ( r1 @ SV229 @ SV250 )
| ( SV201 @ SV250 ) )
= $true )
| ( ( r3 @ SV183 @ SV229 )
= $false )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1149,plain,
! [SV183: $i,SV201: $i > $o,SV241: $i,SV216: $i] :
( ( ( ~ ( r1 @ SV216 @ SV241 ) )
= $true )
| ( ( SV201 @ SV241 )
= $true )
| ( ( r3 @ SV183 @ SV216 )
= $false )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1150,plain,
! [SV184: $i,SV202: $i > $o,SV251: $i,SV230: $i] :
( ( ( ~ ( r3 @ SV230 @ SV251 )
| ( SV202 @ SV251 ) )
= $true )
| ( ( r1 @ SV184 @ SV230 )
= $false )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1123]) ).
thf(1151,plain,
! [SV184: $i,SV202: $i > $o,SV242: $i,SV217: $i] :
( ( ( ~ ( r3 @ SV217 @ SV242 ) )
= $true )
| ( ( SV202 @ SV242 )
= $true )
| ( ( r1 @ SV184 @ SV217 )
= $false )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1152,plain,
! [SV185: $i,SV203: $i > $o,SV252: $i,SV231: $i] :
( ( ( ~ ( r2 @ SV231 @ SV252 )
| ( SV203 @ SV252 ) )
= $true )
| ( ( r1 @ SV185 @ SV231 )
= $false )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1153,plain,
! [SV185: $i,SV203: $i > $o,SV243: $i,SV218: $i] :
( ( ( ~ ( r2 @ SV218 @ SV243 ) )
= $true )
| ( ( SV203 @ SV243 )
= $true )
| ( ( r1 @ SV185 @ SV218 )
= $false )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1154,plain,
! [SV186: $i,SV204: $i > $o,SV253: $i,SV232: $i] :
( ( ( ~ ( r1 @ SV232 @ SV253 )
| ( SV204 @ SV253 ) )
= $true )
| ( ( r1 @ SV186 @ SV232 )
= $false )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1127]) ).
thf(1155,plain,
! [SV186: $i,SV204: $i > $o,SV244: $i,SV219: $i] :
( ( ( ~ ( r1 @ SV219 @ SV244 ) )
= $true )
| ( ( SV204 @ SV244 )
= $true )
| ( ( r1 @ SV186 @ SV219 )
= $false )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1156,plain,
! [SV187: $i,SV205: $i > $o,SV254: $i,SV233: $i] :
( ( ( ~ ( r2 @ SV233 @ SV254 )
| ( SV205 @ SV254 ) )
= $true )
| ( ( r3 @ SV187 @ SV233 )
= $false )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1129]) ).
thf(1157,plain,
! [SV187: $i,SV205: $i > $o,SV245: $i,SV220: $i] :
( ( ( ~ ( r2 @ SV220 @ SV245 ) )
= $true )
| ( ( SV205 @ SV245 )
= $true )
| ( ( r3 @ SV187 @ SV220 )
= $false )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1158,plain,
! [SV188: $i,SV206: $i > $o,SV255: $i,SV234: $i] :
( ( ( ~ ( r3 @ SV234 @ SV255 )
| ( SV206 @ SV255 ) )
= $true )
| ( ( r3 @ SV188 @ SV234 )
= $false )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1159,plain,
! [SV188: $i,SV206: $i > $o,SV246: $i,SV221: $i] :
( ( ( ~ ( r3 @ SV221 @ SV246 ) )
= $true )
| ( ( SV206 @ SV246 )
= $true )
| ( ( r3 @ SV188 @ SV221 )
= $false )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1160,plain,
! [SV171: $i,SV189: $i > $o,SV247: $i,SV222: $i] :
( ( ( ~ ( r1 @ SV222 @ SV247 ) )
= $true )
| ( ( SV189 @ SV247 )
= $true )
| ( ( r2 @ SV171 @ SV222 )
= $false )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1133]) ).
thf(1161,plain,
! [SV171: $i,SV189: $i > $o,SV238: $i,SV210: $i] :
( ( ( r1 @ SV210 @ SV238 )
= $false )
| ( ( SV189 @ SV238 )
= $true )
| ( ( r2 @ SV171 @ SV210 )
= $false )
| ( ( SV189 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1162,plain,
! [SV172: $i,SV190: $i > $o,SV248: $i,SV223: $i] :
( ( ( ~ ( r2 @ SV223 @ SV248 ) )
= $true )
| ( ( SV190 @ SV248 )
= $true )
| ( ( r2 @ SV172 @ SV223 )
= $false )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1135]) ).
thf(1163,plain,
! [SV172: $i,SV190: $i > $o,SV239: $i,SV211: $i] :
( ( ( r2 @ SV211 @ SV239 )
= $false )
| ( ( SV190 @ SV239 )
= $true )
| ( ( r2 @ SV172 @ SV211 )
= $false )
| ( ( SV190 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1164,plain,
! [SV207: $i,SV175: $i,SV193: $i > $o,SV235: $i] :
( ( ( ! [SY426: $i] :
( ~ ( r2 @ SV235 @ SY426 )
| ( SV193 @ SY426 ) ) )
= $false )
| ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1165,plain,
! [SV208: $i,SV177: $i,SV195: $i > $o,SV236: $i] :
( ( ( ! [SY427: $i] :
( ~ ( r1 @ SV236 @ SY427 )
| ( SV195 @ SY427 ) ) )
= $false )
| ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1166,plain,
! [SV180: $i,SV198: $i > $o,SV249: $i,SV228: $i] :
( ( ( ~ ( r3 @ SV228 @ SV249 ) )
= $true )
| ( ( SV198 @ SV249 )
= $true )
| ( ( r2 @ SV180 @ SV228 )
= $false )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1167,plain,
! [SV180: $i,SV198: $i > $o,SV240: $i,SV215: $i] :
( ( ( r3 @ SV215 @ SV240 )
= $false )
| ( ( SV198 @ SV240 )
= $true )
| ( ( r2 @ SV180 @ SV215 )
= $false )
| ( ( SV198 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1168,plain,
! [SV209: $i,SV182: $i,SV200: $i > $o,SV237: $i] :
( ( ( ! [SY428: $i] :
( ~ ( r3 @ SV237 @ SY428 )
| ( SV200 @ SY428 ) ) )
= $false )
| ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1169,plain,
! [SV183: $i,SV201: $i > $o,SV250: $i,SV229: $i] :
( ( ( ~ ( r1 @ SV229 @ SV250 ) )
= $true )
| ( ( SV201 @ SV250 )
= $true )
| ( ( r3 @ SV183 @ SV229 )
= $false )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1170,plain,
! [SV183: $i,SV201: $i > $o,SV241: $i,SV216: $i] :
( ( ( r1 @ SV216 @ SV241 )
= $false )
| ( ( SV201 @ SV241 )
= $true )
| ( ( r3 @ SV183 @ SV216 )
= $false )
| ( ( SV201 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1171,plain,
! [SV184: $i,SV202: $i > $o,SV251: $i,SV230: $i] :
( ( ( ~ ( r3 @ SV230 @ SV251 ) )
= $true )
| ( ( SV202 @ SV251 )
= $true )
| ( ( r1 @ SV184 @ SV230 )
= $false )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1172,plain,
! [SV184: $i,SV202: $i > $o,SV242: $i,SV217: $i] :
( ( ( r3 @ SV217 @ SV242 )
= $false )
| ( ( SV202 @ SV242 )
= $true )
| ( ( r1 @ SV184 @ SV217 )
= $false )
| ( ( SV202 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1173,plain,
! [SV185: $i,SV203: $i > $o,SV252: $i,SV231: $i] :
( ( ( ~ ( r2 @ SV231 @ SV252 ) )
= $true )
| ( ( SV203 @ SV252 )
= $true )
| ( ( r1 @ SV185 @ SV231 )
= $false )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1174,plain,
! [SV185: $i,SV203: $i > $o,SV243: $i,SV218: $i] :
( ( ( r2 @ SV218 @ SV243 )
= $false )
| ( ( SV203 @ SV243 )
= $true )
| ( ( r1 @ SV185 @ SV218 )
= $false )
| ( ( SV203 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1175,plain,
! [SV186: $i,SV204: $i > $o,SV253: $i,SV232: $i] :
( ( ( ~ ( r1 @ SV232 @ SV253 ) )
= $true )
| ( ( SV204 @ SV253 )
= $true )
| ( ( r1 @ SV186 @ SV232 )
= $false )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1176,plain,
! [SV186: $i,SV204: $i > $o,SV244: $i,SV219: $i] :
( ( ( r1 @ SV219 @ SV244 )
= $false )
| ( ( SV204 @ SV244 )
= $true )
| ( ( r1 @ SV186 @ SV219 )
= $false )
| ( ( SV204 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1177,plain,
! [SV187: $i,SV205: $i > $o,SV254: $i,SV233: $i] :
( ( ( ~ ( r2 @ SV233 @ SV254 ) )
= $true )
| ( ( SV205 @ SV254 )
= $true )
| ( ( r3 @ SV187 @ SV233 )
= $false )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1178,plain,
! [SV187: $i,SV205: $i > $o,SV245: $i,SV220: $i] :
( ( ( r2 @ SV220 @ SV245 )
= $false )
| ( ( SV205 @ SV245 )
= $true )
| ( ( r3 @ SV187 @ SV220 )
= $false )
| ( ( SV205 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1179,plain,
! [SV188: $i,SV206: $i > $o,SV255: $i,SV234: $i] :
( ( ( ~ ( r3 @ SV234 @ SV255 ) )
= $true )
| ( ( SV206 @ SV255 )
= $true )
| ( ( r3 @ SV188 @ SV234 )
= $false )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1180,plain,
! [SV188: $i,SV206: $i > $o,SV246: $i,SV221: $i] :
( ( ( r3 @ SV221 @ SV246 )
= $false )
| ( ( SV206 @ SV246 )
= $true )
| ( ( r3 @ SV188 @ SV221 )
= $false )
| ( ( SV206 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1181,plain,
! [SV171: $i,SV189: $i > $o,SV247: $i,SV222: $i] :
( ( ( r1 @ SV222 @ SV247 )
= $false )
| ( ( SV189 @ SV247 )
= $true )
| ( ( r2 @ SV171 @ SV222 )
= $false )
| ( ( r1 @ SV171 @ ( sK59_SY352 @ SV189 @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1182,plain,
! [SV172: $i,SV190: $i > $o,SV248: $i,SV223: $i] :
( ( ( r2 @ SV223 @ SV248 )
= $false )
| ( ( SV190 @ SV248 )
= $true )
| ( ( r2 @ SV172 @ SV223 )
= $false )
| ( ( r2 @ SV172 @ ( sK60_SY355 @ SV190 @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1183,plain,
! [SV193: $i > $o,SV175: $i,SV207: $i,SV235: $i] :
( ( ( ~ ( r2 @ SV235 @ ( sK82_SY426 @ SV207 @ SV175 @ SV193 @ SV235 ) )
| ( SV193 @ ( sK82_SY426 @ SV207 @ SV175 @ SV193 @ SV235 ) ) )
= $false )
| ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1164]) ).
thf(1184,plain,
! [SV195: $i > $o,SV177: $i,SV208: $i,SV236: $i] :
( ( ( ~ ( r1 @ SV236 @ ( sK83_SY427 @ SV208 @ SV177 @ SV195 @ SV236 ) )
| ( SV195 @ ( sK83_SY427 @ SV208 @ SV177 @ SV195 @ SV236 ) ) )
= $false )
| ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1165]) ).
thf(1185,plain,
! [SV180: $i,SV198: $i > $o,SV249: $i,SV228: $i] :
( ( ( r3 @ SV228 @ SV249 )
= $false )
| ( ( SV198 @ SV249 )
= $true )
| ( ( r2 @ SV180 @ SV228 )
= $false )
| ( ( r3 @ SV180 @ ( sK67_SY378 @ SV198 @ SV180 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1186,plain,
! [SV200: $i > $o,SV182: $i,SV209: $i,SV237: $i] :
( ( ( ~ ( r3 @ SV237 @ ( sK84_SY428 @ SV209 @ SV182 @ SV200 @ SV237 ) )
| ( SV200 @ ( sK84_SY428 @ SV209 @ SV182 @ SV200 @ SV237 ) ) )
= $false )
| ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1168]) ).
thf(1187,plain,
! [SV183: $i,SV201: $i > $o,SV250: $i,SV229: $i] :
( ( ( r1 @ SV229 @ SV250 )
= $false )
| ( ( SV201 @ SV250 )
= $true )
| ( ( r3 @ SV183 @ SV229 )
= $false )
| ( ( r1 @ SV183 @ ( sK69_SY386 @ SV201 @ SV183 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1188,plain,
! [SV184: $i,SV202: $i > $o,SV251: $i,SV230: $i] :
( ( ( r3 @ SV230 @ SV251 )
= $false )
| ( ( SV202 @ SV251 )
= $true )
| ( ( r1 @ SV184 @ SV230 )
= $false )
| ( ( r3 @ SV184 @ ( sK70_SY389 @ SV202 @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1189,plain,
! [SV185: $i,SV203: $i > $o,SV252: $i,SV231: $i] :
( ( ( r2 @ SV231 @ SV252 )
= $false )
| ( ( SV203 @ SV252 )
= $true )
| ( ( r1 @ SV185 @ SV231 )
= $false )
| ( ( r2 @ SV185 @ ( sK71_SY392 @ SV203 @ SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1190,plain,
! [SV186: $i,SV204: $i > $o,SV253: $i,SV232: $i] :
( ( ( r1 @ SV232 @ SV253 )
= $false )
| ( ( SV204 @ SV253 )
= $true )
| ( ( r1 @ SV186 @ SV232 )
= $false )
| ( ( r1 @ SV186 @ ( sK72_SY395 @ SV204 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1191,plain,
! [SV187: $i,SV205: $i > $o,SV254: $i,SV233: $i] :
( ( ( r2 @ SV233 @ SV254 )
= $false )
| ( ( SV205 @ SV254 )
= $true )
| ( ( r3 @ SV187 @ SV233 )
= $false )
| ( ( r2 @ SV187 @ ( sK73_SY398 @ SV205 @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1192,plain,
! [SV188: $i,SV206: $i > $o,SV255: $i,SV234: $i] :
( ( ( r3 @ SV234 @ SV255 )
= $false )
| ( ( SV206 @ SV255 )
= $true )
| ( ( r3 @ SV188 @ SV234 )
= $false )
| ( ( r3 @ SV188 @ ( sK74_SY401 @ SV206 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1193,plain,
! [SV193: $i > $o,SV175: $i,SV207: $i,SV235: $i] :
( ( ( ~ ( r2 @ SV235 @ ( sK82_SY426 @ SV207 @ SV175 @ SV193 @ SV235 ) ) )
= $false )
| ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1194,plain,
! [SV235: $i,SV175: $i,SV207: $i,SV193: $i > $o] :
( ( ( SV193 @ ( sK82_SY426 @ SV207 @ SV175 @ SV193 @ SV235 ) )
= $false )
| ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1195,plain,
! [SV195: $i > $o,SV177: $i,SV208: $i,SV236: $i] :
( ( ( ~ ( r1 @ SV236 @ ( sK83_SY427 @ SV208 @ SV177 @ SV195 @ SV236 ) ) )
= $false )
| ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1196,plain,
! [SV236: $i,SV177: $i,SV208: $i,SV195: $i > $o] :
( ( ( SV195 @ ( sK83_SY427 @ SV208 @ SV177 @ SV195 @ SV236 ) )
= $false )
| ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1197,plain,
! [SV200: $i > $o,SV182: $i,SV209: $i,SV237: $i] :
( ( ( ~ ( r3 @ SV237 @ ( sK84_SY428 @ SV209 @ SV182 @ SV200 @ SV237 ) ) )
= $false )
| ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1198,plain,
! [SV237: $i,SV182: $i,SV209: $i,SV200: $i > $o] :
( ( ( SV200 @ ( sK84_SY428 @ SV209 @ SV182 @ SV200 @ SV237 ) )
= $false )
| ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1186]) ).
thf(1199,plain,
! [SV193: $i > $o,SV175: $i,SV207: $i,SV235: $i] :
( ( ( r2 @ SV235 @ ( sK82_SY426 @ SV207 @ SV175 @ SV193 @ SV235 ) )
= $true )
| ( ( r2 @ SV175 @ SV235 )
= $false )
| ( ( SV193 @ SV207 )
= $true )
| ( ( r2 @ SV175 @ SV207 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1200,plain,
! [SV195: $i > $o,SV177: $i,SV208: $i,SV236: $i] :
( ( ( r1 @ SV236 @ ( sK83_SY427 @ SV208 @ SV177 @ SV195 @ SV236 ) )
= $true )
| ( ( r1 @ SV177 @ SV236 )
= $false )
| ( ( SV195 @ SV208 )
= $true )
| ( ( r1 @ SV177 @ SV208 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1201,plain,
! [SV200: $i > $o,SV182: $i,SV209: $i,SV237: $i] :
( ( ( r3 @ SV237 @ ( sK84_SY428 @ SV209 @ SV182 @ SV200 @ SV237 ) )
= $true )
| ( ( r3 @ SV182 @ SV237 )
= $false )
| ( ( SV200 @ SV209 )
= $true )
| ( ( r3 @ SV182 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1202,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[999,1201,1200,1199,1198,1196,1194,1192,1191,1190,1189,1188,1187,1185,1182,1181,1180,1178,1176,1174,1172,1170,1167,1163,1161,1146,1145,1142,1141,1138,1137,1119,1118,1113,1112,1111,1108,1106,1104,1103,1100,1077,1071,1069,1063,1035]) ).
thf(1203,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(1204,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(1205,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(1206,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(1207,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(1208,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(1209,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(1210,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(1211,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(1212,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(1213,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(1214,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(1215,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(1216,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(1217,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(1218,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(1219,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(1220,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(1221,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(1222,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1210,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1223,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1221,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1224,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1214,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1225,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1204,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1226,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1219,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1227,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1207,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1228,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1209,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1229,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1215,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1230,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1206,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1231,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1220,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1232,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1216,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1233,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1212,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1234,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1208,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1235,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1217,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1236,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1213,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1237,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1203,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1238,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1205,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1239,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1218,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1240,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1211,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1241,plain,
! [SV256: $i] :
( ( ! [SY429: $i > $o] :
( ~ ! [SY430: $i] :
( ~ ( r1 @ SV256 @ SY430 )
| ( SY429 @ SY430 ) )
| ! [SY431: $i] :
( ~ ( r2 @ SV256 @ SY431 )
| ! [SX3: $i] :
( ~ ( r1 @ SY431 @ SX3 )
| ( SY429 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1242,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1243,plain,
! [SV257: $i] :
( ( ! [SY433: $i > $o] :
( ~ ! [SY434: $i] :
( ~ ( r2 @ SV257 @ SY434 )
| ( SY433 @ SY434 ) )
| ! [SY435: $i] :
( ~ ( r3 @ SV257 @ SY435 )
| ! [SX3: $i] :
( ~ ( r2 @ SY435 @ SX3 )
| ( SY433 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1244,plain,
! [SV258: $i] :
( ( ! [SY437: $i > $o] :
( ~ ! [SY438: $i] :
( ~ ( r2 @ SV258 @ SY438 )
| ( SY437 @ SY438 ) )
| ~ ! [SY439: $i] :
( ~ ( r2 @ SV258 @ SY439 )
| ~ ( SY437 @ SY439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1245,plain,
! [SV259: $i] :
( ( ! [SY440: $i > $o] :
( ~ ~ ! [SY441: $i] :
( ~ ( r2 @ SV259 @ SY441 )
| ( SY440 @ SY441 ) )
| ! [SY442: $i] :
( ~ ( r2 @ SV259 @ SY442 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY442 @ SX3 )
| ( SY440 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1226]) ).
thf(1246,plain,
! [SV260: $i] :
( ( ! [SY444: $i > $o] :
( ~ ! [SY445: $i] :
( ~ ( r3 @ SV260 @ SY445 )
| ( SY444 @ SY445 ) )
| ! [SY446: $i] :
( ~ ( r1 @ SV260 @ SY446 )
| ( SY444 @ SY446 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1227]) ).
thf(1247,plain,
! [SV261: $i] :
( ( ! [SY447: $i > $o] :
( ~ ! [SY448: $i] :
( ~ ( r1 @ SV261 @ SY448 )
| ( SY447 @ SY448 ) )
| ! [SY449: $i] :
( ~ ( r1 @ SV261 @ SY449 )
| ! [SX3: $i] :
( ~ ( r1 @ SY449 @ SX3 )
| ( SY447 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1248,plain,
! [SV262: $i] :
( ( ! [SY451: $i > $o] :
( ~ ! [SY452: $i] :
( ~ ( r3 @ SV262 @ SY452 )
| ( SY451 @ SY452 ) )
| ! [SY453: $i] :
( ~ ( r1 @ SV262 @ SY453 )
| ! [SX3: $i] :
( ~ ( r3 @ SY453 @ SX3 )
| ( SY451 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1249,plain,
! [SV263: $i] :
( ( ! [SY455: $i > $o] :
( ~ ! [SY456: $i] :
( ~ ( r2 @ SV263 @ SY456 )
| ( SY455 @ SY456 ) )
| ! [SY457: $i] :
( ~ ( r1 @ SV263 @ SY457 )
| ( SY455 @ SY457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1250,plain,
! [SV264: $i] :
( ( ! [SY458: $i > $o] :
( ~ ~ ! [SY459: $i] :
( ~ ( r3 @ SV264 @ SY459 )
| ( SY458 @ SY459 ) )
| ! [SY460: $i] :
( ~ ( r3 @ SV264 @ SY460 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY460 @ SX3 )
| ( SY458 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1251,plain,
! [SV265: $i] :
( ( ! [SY462: $i > $o] :
( ~ ! [SY463: $i] :
( ~ ( r3 @ SV265 @ SY463 )
| ( SY462 @ SY463 ) )
| ! [SY464: $i] :
( ~ ( r2 @ SV265 @ SY464 )
| ! [SX3: $i] :
( ~ ( r3 @ SY464 @ SX3 )
| ( SY462 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1252,plain,
! [SV266: $i] :
( ( ! [SY466: $i > $o] :
( ~ ! [SY467: $i] :
( ~ ( r2 @ SV266 @ SY467 )
| ( SY466 @ SY467 ) )
| ! [SY468: $i] :
( ~ ( r1 @ SV266 @ SY468 )
| ! [SX3: $i] :
( ~ ( r2 @ SY468 @ SX3 )
| ( SY466 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1253,plain,
! [SV267: $i] :
( ( ! [SY470: $i > $o] :
( ~ ! [SY471: $i] :
( ~ ( r3 @ SV267 @ SY471 )
| ( SY470 @ SY471 ) )
| ! [SY472: $i] :
( ~ ( r2 @ SV267 @ SY472 )
| ( SY470 @ SY472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1254,plain,
! [SV268: $i] :
( ( ! [SY473: $i > $o] :
( ~ ! [SY474: $i] :
( ~ ( r3 @ SV268 @ SY474 )
| ( SY473 @ SY474 ) )
| ! [SY475: $i] :
( ~ ( r3 @ SV268 @ SY475 )
| ! [SX3: $i] :
( ~ ( r3 @ SY475 @ SX3 )
| ( SY473 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1255,plain,
! [SV269: $i] :
( ( ! [SY477: $i > $o] :
( ~ ! [SY478: $i] :
( ~ ( r2 @ SV269 @ SY478 )
| ( SY477 @ SY478 ) )
| ! [SY479: $i] :
( ~ ( r2 @ SV269 @ SY479 )
| ! [SX3: $i] :
( ~ ( r2 @ SY479 @ SX3 )
| ( SY477 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1256,plain,
! [SV270: $i] :
( ( ! [SY481: $i > $o] :
( ~ ! [SY482: $i] :
( ~ ( r1 @ SV270 @ SY482 )
| ( SY481 @ SY482 ) )
| ~ ! [SY483: $i] :
( ~ ( r1 @ SV270 @ SY483 )
| ~ ( SY481 @ SY483 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1257,plain,
! [SV271: $i] :
( ( ! [SY484: $i > $o] :
( ~ ! [SY485: $i] :
( ~ ( r3 @ SV271 @ SY485 )
| ( SY484 @ SY485 ) )
| ~ ! [SY486: $i] :
( ~ ( r3 @ SV271 @ SY486 )
| ~ ( SY484 @ SY486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1258,plain,
! [SV272: $i] :
( ( ! [SY487: $i > $o] :
( ~ ~ ! [SY488: $i] :
( ~ ( r1 @ SV272 @ SY488 )
| ( SY487 @ SY488 ) )
| ! [SY489: $i] :
( ~ ( r1 @ SV272 @ SY489 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY489 @ SX3 )
| ( SY487 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1239]) ).
thf(1259,plain,
! [SV273: $i] :
( ( ! [SY491: $i > $o] :
( ~ ! [SY492: $i] :
( ~ ( r1 @ SV273 @ SY492 )
| ( SY491 @ SY492 ) )
| ! [SY493: $i] :
( ~ ( r3 @ SV273 @ SY493 )
| ! [SX3: $i] :
( ~ ( r1 @ SY493 @ SX3 )
| ( SY491 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1260,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ~ ! [SY495: $i] :
( ~ ( r1 @ SV256 @ SY495 )
| ( SV274 @ SY495 ) )
| ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1261,plain,
( ( ! [SY498: $i > $o] :
( ~ ~ ! [SY499: $i] :
( ~ ( r2 @ sK85_SX0 @ SY499 )
| ( SY498 @ SY499 ) )
| ! [SY500: $i] :
( ~ ( r1 @ sK85_SX0 @ SY500 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY500 @ SX3 )
| ( SY498 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1242]) ).
thf(1262,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ~ ! [SY502: $i] :
( ~ ( r2 @ SV257 @ SY502 )
| ( SV275 @ SY502 ) )
| ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1263,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ~ ! [SY505: $i] :
( ~ ( r2 @ SV258 @ SY505 )
| ( SV276 @ SY505 ) )
| ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1264,plain,
! [SV277: $i > $o,SV259: $i] :
( ( ~ ~ ! [SY507: $i] :
( ~ ( r2 @ SV259 @ SY507 )
| ( SV277 @ SY507 ) )
| ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1265,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ~ ! [SY510: $i] :
( ~ ( r3 @ SV260 @ SY510 )
| ( SV278 @ SY510 ) )
| ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1266,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ~ ! [SY512: $i] :
( ~ ( r1 @ SV261 @ SY512 )
| ( SV279 @ SY512 ) )
| ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1267,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ~ ! [SY515: $i] :
( ~ ( r3 @ SV262 @ SY515 )
| ( SV280 @ SY515 ) )
| ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1268,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ~ ! [SY518: $i] :
( ~ ( r2 @ SV263 @ SY518 )
| ( SV281 @ SY518 ) )
| ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1269,plain,
! [SV282: $i > $o,SV264: $i] :
( ( ~ ~ ! [SY520: $i] :
( ~ ( r3 @ SV264 @ SY520 )
| ( SV282 @ SY520 ) )
| ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1270,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ~ ! [SY523: $i] :
( ~ ( r3 @ SV265 @ SY523 )
| ( SV283 @ SY523 ) )
| ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1271,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ~ ! [SY526: $i] :
( ~ ( r2 @ SV266 @ SY526 )
| ( SV284 @ SY526 ) )
| ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1272,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ~ ! [SY529: $i] :
( ~ ( r3 @ SV267 @ SY529 )
| ( SV285 @ SY529 ) )
| ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1273,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ~ ! [SY531: $i] :
( ~ ( r3 @ SV268 @ SY531 )
| ( SV286 @ SY531 ) )
| ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1274,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ~ ! [SY534: $i] :
( ~ ( r2 @ SV269 @ SY534 )
| ( SV287 @ SY534 ) )
| ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1275,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ~ ! [SY537: $i] :
( ~ ( r1 @ SV270 @ SY537 )
| ( SV288 @ SY537 ) )
| ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1276,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ~ ! [SY539: $i] :
( ~ ( r3 @ SV271 @ SY539 )
| ( SV289 @ SY539 ) )
| ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1277,plain,
! [SV290: $i > $o,SV272: $i] :
( ( ~ ~ ! [SY541: $i] :
( ~ ( r1 @ SV272 @ SY541 )
| ( SV290 @ SY541 ) )
| ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1278,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ~ ! [SY544: $i] :
( ~ ( r1 @ SV273 @ SY544 )
| ( SV291 @ SY544 ) )
| ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1279,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ( ~ ! [SY495: $i] :
( ~ ( r1 @ SV256 @ SY495 )
| ( SV274 @ SY495 ) ) )
= $true )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1280,plain,
( ( ~ ~ ! [SY547: $i] :
( ~ ( r2 @ sK85_SX0 @ SY547 )
| ( sK86_SY498 @ SY547 ) )
| ! [SY548: $i] :
( ~ ( r1 @ sK85_SX0 @ SY548 )
| ~ ! [SY549: $i] :
( ~ ( r2 @ SY548 @ SY549 )
| ( sK86_SY498 @ SY549 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1261]) ).
thf(1281,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ( ~ ! [SY502: $i] :
( ~ ( r2 @ SV257 @ SY502 )
| ( SV275 @ SY502 ) ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1282,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ! [SY505: $i] :
( ~ ( r2 @ SV258 @ SY505 )
| ( SV276 @ SY505 ) ) )
= $true )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1263]) ).
thf(1283,plain,
! [SV277: $i > $o,SV259: $i] :
( ( ( ~ ~ ! [SY507: $i] :
( ~ ( r2 @ SV259 @ SY507 )
| ( SV277 @ SY507 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1264]) ).
thf(1284,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ( ~ ! [SY510: $i] :
( ~ ( r3 @ SV260 @ SY510 )
| ( SV278 @ SY510 ) ) )
= $true )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1285,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ( ~ ! [SY512: $i] :
( ~ ( r1 @ SV261 @ SY512 )
| ( SV279 @ SY512 ) ) )
= $true )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1286,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ( ~ ! [SY515: $i] :
( ~ ( r3 @ SV262 @ SY515 )
| ( SV280 @ SY515 ) ) )
= $true )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1267]) ).
thf(1287,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ( ~ ! [SY518: $i] :
( ~ ( r2 @ SV263 @ SY518 )
| ( SV281 @ SY518 ) ) )
= $true )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1268]) ).
thf(1288,plain,
! [SV282: $i > $o,SV264: $i] :
( ( ( ~ ~ ! [SY520: $i] :
( ~ ( r3 @ SV264 @ SY520 )
| ( SV282 @ SY520 ) ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1269]) ).
thf(1289,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ( ~ ! [SY523: $i] :
( ~ ( r3 @ SV265 @ SY523 )
| ( SV283 @ SY523 ) ) )
= $true )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1290,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ( ~ ! [SY526: $i] :
( ~ ( r2 @ SV266 @ SY526 )
| ( SV284 @ SY526 ) ) )
= $true )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1271]) ).
thf(1291,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ( ~ ! [SY529: $i] :
( ~ ( r3 @ SV267 @ SY529 )
| ( SV285 @ SY529 ) ) )
= $true )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1292,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ( ~ ! [SY531: $i] :
( ~ ( r3 @ SV268 @ SY531 )
| ( SV286 @ SY531 ) ) )
= $true )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1293,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ( ~ ! [SY534: $i] :
( ~ ( r2 @ SV269 @ SY534 )
| ( SV287 @ SY534 ) ) )
= $true )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1274]) ).
thf(1294,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ! [SY537: $i] :
( ~ ( r1 @ SV270 @ SY537 )
| ( SV288 @ SY537 ) ) )
= $true )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1295,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ! [SY539: $i] :
( ~ ( r3 @ SV271 @ SY539 )
| ( SV289 @ SY539 ) ) )
= $true )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1276]) ).
thf(1296,plain,
! [SV290: $i > $o,SV272: $i] :
( ( ( ~ ~ ! [SY541: $i] :
( ~ ( r1 @ SV272 @ SY541 )
| ( SV290 @ SY541 ) ) )
= $true )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1297,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ( ~ ! [SY544: $i] :
( ~ ( r1 @ SV273 @ SY544 )
| ( SV291 @ SY544 ) ) )
= $true )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1298,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ( ! [SY495: $i] :
( ~ ( r1 @ SV256 @ SY495 )
| ( SV274 @ SY495 ) ) )
= $false )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1299,plain,
( ( ~ ~ ! [SY547: $i] :
( ~ ( r2 @ sK85_SX0 @ SY547 )
| ( sK86_SY498 @ SY547 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1300,plain,
( ( ! [SY548: $i] :
( ~ ( r1 @ sK85_SX0 @ SY548 )
| ~ ! [SY549: $i] :
( ~ ( r2 @ SY548 @ SY549 )
| ( sK86_SY498 @ SY549 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1280]) ).
thf(1301,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ( ! [SY502: $i] :
( ~ ( r2 @ SV257 @ SY502 )
| ( SV275 @ SY502 ) ) )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1302,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ! [SY505: $i] :
( ~ ( r2 @ SV258 @ SY505 )
| ( SV276 @ SY505 ) ) )
= $false )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1303,plain,
! [SV277: $i > $o,SV259: $i] :
( ( ( ~ ! [SY507: $i] :
( ~ ( r2 @ SV259 @ SY507 )
| ( SV277 @ SY507 ) ) )
= $false )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1304,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ( ! [SY510: $i] :
( ~ ( r3 @ SV260 @ SY510 )
| ( SV278 @ SY510 ) ) )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1305,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ( ! [SY512: $i] :
( ~ ( r1 @ SV261 @ SY512 )
| ( SV279 @ SY512 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1306,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ( ! [SY515: $i] :
( ~ ( r3 @ SV262 @ SY515 )
| ( SV280 @ SY515 ) ) )
= $false )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1307,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ( ! [SY518: $i] :
( ~ ( r2 @ SV263 @ SY518 )
| ( SV281 @ SY518 ) ) )
= $false )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1287]) ).
thf(1308,plain,
! [SV282: $i > $o,SV264: $i] :
( ( ( ~ ! [SY520: $i] :
( ~ ( r3 @ SV264 @ SY520 )
| ( SV282 @ SY520 ) ) )
= $false )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1309,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ( ! [SY523: $i] :
( ~ ( r3 @ SV265 @ SY523 )
| ( SV283 @ SY523 ) ) )
= $false )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1310,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ( ! [SY526: $i] :
( ~ ( r2 @ SV266 @ SY526 )
| ( SV284 @ SY526 ) ) )
= $false )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1311,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ( ! [SY529: $i] :
( ~ ( r3 @ SV267 @ SY529 )
| ( SV285 @ SY529 ) ) )
= $false )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1312,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ( ! [SY531: $i] :
( ~ ( r3 @ SV268 @ SY531 )
| ( SV286 @ SY531 ) ) )
= $false )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1313,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ( ! [SY534: $i] :
( ~ ( r2 @ SV269 @ SY534 )
| ( SV287 @ SY534 ) ) )
= $false )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1314,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ! [SY537: $i] :
( ~ ( r1 @ SV270 @ SY537 )
| ( SV288 @ SY537 ) ) )
= $false )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1315,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ! [SY539: $i] :
( ~ ( r3 @ SV271 @ SY539 )
| ( SV289 @ SY539 ) ) )
= $false )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1316,plain,
! [SV290: $i > $o,SV272: $i] :
( ( ( ~ ! [SY541: $i] :
( ~ ( r1 @ SV272 @ SY541 )
| ( SV290 @ SY541 ) ) )
= $false )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1296]) ).
thf(1317,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ( ! [SY544: $i] :
( ~ ( r1 @ SV273 @ SY544 )
| ( SV291 @ SY544 ) ) )
= $false )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1318,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ( ~ ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
| ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) ) )
= $false )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1298]) ).
thf(1319,plain,
( ( ~ ! [SY547: $i] :
( ~ ( r2 @ sK85_SX0 @ SY547 )
| ( sK86_SY498 @ SY547 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1320,plain,
( ( ~ ( r1 @ sK85_SX0 @ sK88_SY548 )
| ~ ! [SY550: $i] :
( ~ ( r2 @ sK88_SY548 @ SY550 )
| ( sK86_SY498 @ SY550 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1300]) ).
thf(1321,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ( ~ ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
| ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) ) )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1301]) ).
thf(1322,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
| ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) ) )
= $false )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1302]) ).
thf(1323,plain,
! [SV277: $i > $o,SV259: $i] :
( ( ( ! [SY507: $i] :
( ~ ( r2 @ SV259 @ SY507 )
| ( SV277 @ SY507 ) ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1324,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ( ~ ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) )
| ( SV278 @ ( sK91_SY510 @ SV278 @ SV260 ) ) )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1304]) ).
thf(1325,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
| ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1305]) ).
thf(1326,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ( ~ ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
| ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) ) )
= $false )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1306]) ).
thf(1327,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ( ~ ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) )
| ( SV281 @ ( sK94_SY518 @ SV281 @ SV263 ) ) )
= $false )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1307]) ).
thf(1328,plain,
! [SV282: $i > $o,SV264: $i] :
( ( ( ! [SY520: $i] :
( ~ ( r3 @ SV264 @ SY520 )
| ( SV282 @ SY520 ) ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1308]) ).
thf(1329,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ( ~ ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
| ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) ) )
= $false )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1309]) ).
thf(1330,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ( ~ ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
| ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) ) )
= $false )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1310]) ).
thf(1331,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ( ~ ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) )
| ( SV285 @ ( sK97_SY529 @ SV285 @ SV267 ) ) )
= $false )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1311]) ).
thf(1332,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
| ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) ) )
= $false )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1312]) ).
thf(1333,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
| ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) ) )
= $false )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1313]) ).
thf(1334,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
| ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) ) )
= $false )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1314]) ).
thf(1335,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
| ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) ) )
= $false )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1315]) ).
thf(1336,plain,
! [SV290: $i > $o,SV272: $i] :
( ( ( ! [SY541: $i] :
( ~ ( r1 @ SV272 @ SY541 )
| ( SV290 @ SY541 ) ) )
= $true )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1337,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ( ~ ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
| ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) ) )
= $false )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1317]) ).
thf(1338,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ( ~ ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) ) )
= $false )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1339,plain,
! [SV256: $i,SV274: $i > $o] :
( ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1340,plain,
( ( ! [SY547: $i] :
( ~ ( r2 @ sK85_SX0 @ SY547 )
| ( sK86_SY498 @ SY547 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1341,plain,
( ( ~ ( r1 @ sK85_SX0 @ sK88_SY548 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1342,plain,
( ( ~ ! [SY550: $i] :
( ~ ( r2 @ sK88_SY548 @ SY550 )
| ( sK86_SY498 @ SY550 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1343,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ( ~ ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) ) )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1344,plain,
! [SV257: $i,SV275: $i > $o] :
( ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1345,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) ) )
= $false )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1346,plain,
! [SV258: $i,SV276: $i > $o] :
( ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1347,plain,
! [SV277: $i > $o,SV292: $i,SV259: $i] :
( ( ( ~ ( r2 @ SV259 @ SV292 )
| ( SV277 @ SV292 ) )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1348,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ( ~ ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) ) )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1349,plain,
! [SV260: $i,SV278: $i > $o] :
( ( ( SV278 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $false )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1350,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1351,plain,
! [SV261: $i,SV279: $i > $o] :
( ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1352,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ( ~ ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) ) )
= $false )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1353,plain,
! [SV262: $i,SV280: $i > $o] :
( ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1326]) ).
thf(1354,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ( ~ ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) ) )
= $false )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1355,plain,
! [SV263: $i,SV281: $i > $o] :
( ( ( SV281 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $false )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1327]) ).
thf(1356,plain,
! [SV282: $i > $o,SV293: $i,SV264: $i] :
( ( ( ~ ( r3 @ SV264 @ SV293 )
| ( SV282 @ SV293 ) )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1357,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ( ~ ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) ) )
= $false )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1329]) ).
thf(1358,plain,
! [SV265: $i,SV283: $i > $o] :
( ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1329]) ).
thf(1359,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ( ~ ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) ) )
= $false )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1360,plain,
! [SV266: $i,SV284: $i > $o] :
( ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1361,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ( ~ ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) ) )
= $false )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1362,plain,
! [SV267: $i,SV285: $i > $o] :
( ( ( SV285 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $false )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1363,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) ) )
= $false )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1364,plain,
! [SV268: $i,SV286: $i > $o] :
( ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1332]) ).
thf(1365,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) ) )
= $false )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1366,plain,
! [SV269: $i,SV287: $i > $o] :
( ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1367,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) ) )
= $false )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1368,plain,
! [SV270: $i,SV288: $i > $o] :
( ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1369,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) ) )
= $false )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1370,plain,
! [SV271: $i,SV289: $i > $o] :
( ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1371,plain,
! [SV290: $i > $o,SV294: $i,SV272: $i] :
( ( ( ~ ( r1 @ SV272 @ SV294 )
| ( SV290 @ SV294 ) )
= $true )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1372,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ( ~ ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) ) )
= $false )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1373,plain,
! [SV273: $i,SV291: $i > $o] :
( ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1374,plain,
! [SV274: $i > $o,SV256: $i] :
( ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true )
| ( ( ! [SY496: $i] :
( ~ ( r2 @ SV256 @ SY496 )
| ! [SY497: $i] :
( ~ ( r1 @ SY496 @ SY497 )
| ( SV274 @ SY497 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1338]) ).
thf(1375,plain,
! [SV274: $i > $o,SV295: $i,SV256: $i] :
( ( ( ~ ( r2 @ SV256 @ SV295 )
| ! [SY551: $i] :
( ~ ( r1 @ SV295 @ SY551 )
| ( SV274 @ SY551 ) ) )
= $true )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1376,plain,
( ( ~ ( r2 @ sK85_SX0 @ sK103_SY547 )
| ( sK86_SY498 @ sK103_SY547 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1340]) ).
thf(1377,plain,
( ( r1 @ sK85_SX0 @ sK88_SY548 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1341]) ).
thf(1378,plain,
( ( ! [SY550: $i] :
( ~ ( r2 @ sK88_SY548 @ SY550 )
| ( sK86_SY498 @ SY550 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1379,plain,
! [SV275: $i > $o,SV257: $i] :
( ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true )
| ( ( ! [SY503: $i] :
( ~ ( r3 @ SV257 @ SY503 )
| ! [SY504: $i] :
( ~ ( r2 @ SY503 @ SY504 )
| ( SV275 @ SY504 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1380,plain,
! [SV275: $i > $o,SV296: $i,SV257: $i] :
( ( ( ~ ( r3 @ SV257 @ SV296 )
| ! [SY552: $i] :
( ~ ( r2 @ SV296 @ SY552 )
| ( SV275 @ SY552 ) ) )
= $true )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1381,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true )
| ( ( ~ ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1382,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $false )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1346]) ).
thf(1383,plain,
! [SV277: $i > $o,SV292: $i,SV259: $i] :
( ( ( ~ ( r2 @ SV259 @ SV292 ) )
= $true )
| ( ( SV277 @ SV292 )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1384,plain,
! [SV278: $i > $o,SV260: $i] :
( ( ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $true )
| ( ( ! [SY511: $i] :
( ~ ( r1 @ SV260 @ SY511 )
| ( SV278 @ SY511 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1385,plain,
! [SV278: $i > $o,SV297: $i,SV260: $i] :
( ( ( ~ ( r1 @ SV260 @ SV297 )
| ( SV278 @ SV297 ) )
= $true )
| ( ( SV278 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1386,plain,
! [SV279: $i > $o,SV261: $i] :
( ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true )
| ( ( ! [SY513: $i] :
( ~ ( r1 @ SV261 @ SY513 )
| ! [SY514: $i] :
( ~ ( r1 @ SY513 @ SY514 )
| ( SV279 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1387,plain,
! [SV279: $i > $o,SV298: $i,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ SV298 )
| ! [SY553: $i] :
( ~ ( r1 @ SV298 @ SY553 )
| ( SV279 @ SY553 ) ) )
= $true )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1388,plain,
! [SV280: $i > $o,SV262: $i] :
( ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true )
| ( ( ! [SY516: $i] :
( ~ ( r1 @ SV262 @ SY516 )
| ! [SY517: $i] :
( ~ ( r3 @ SY516 @ SY517 )
| ( SV280 @ SY517 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1389,plain,
! [SV280: $i > $o,SV299: $i,SV262: $i] :
( ( ( ~ ( r1 @ SV262 @ SV299 )
| ! [SY554: $i] :
( ~ ( r3 @ SV299 @ SY554 )
| ( SV280 @ SY554 ) ) )
= $true )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1390,plain,
! [SV281: $i > $o,SV263: $i] :
( ( ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $true )
| ( ( ! [SY519: $i] :
( ~ ( r1 @ SV263 @ SY519 )
| ( SV281 @ SY519 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1391,plain,
! [SV281: $i > $o,SV300: $i,SV263: $i] :
( ( ( ~ ( r1 @ SV263 @ SV300 )
| ( SV281 @ SV300 ) )
= $true )
| ( ( SV281 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1392,plain,
! [SV282: $i > $o,SV293: $i,SV264: $i] :
( ( ( ~ ( r3 @ SV264 @ SV293 ) )
= $true )
| ( ( SV282 @ SV293 )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1356]) ).
thf(1393,plain,
! [SV283: $i > $o,SV265: $i] :
( ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true )
| ( ( ! [SY524: $i] :
( ~ ( r2 @ SV265 @ SY524 )
| ! [SY525: $i] :
( ~ ( r3 @ SY524 @ SY525 )
| ( SV283 @ SY525 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1394,plain,
! [SV283: $i > $o,SV301: $i,SV265: $i] :
( ( ( ~ ( r2 @ SV265 @ SV301 )
| ! [SY555: $i] :
( ~ ( r3 @ SV301 @ SY555 )
| ( SV283 @ SY555 ) ) )
= $true )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1395,plain,
! [SV284: $i > $o,SV266: $i] :
( ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true )
| ( ( ! [SY527: $i] :
( ~ ( r1 @ SV266 @ SY527 )
| ! [SY528: $i] :
( ~ ( r2 @ SY527 @ SY528 )
| ( SV284 @ SY528 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1396,plain,
! [SV284: $i > $o,SV302: $i,SV266: $i] :
( ( ( ~ ( r1 @ SV266 @ SV302 )
| ! [SY556: $i] :
( ~ ( r2 @ SV302 @ SY556 )
| ( SV284 @ SY556 ) ) )
= $true )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1397,plain,
! [SV285: $i > $o,SV267: $i] :
( ( ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $true )
| ( ( ! [SY530: $i] :
( ~ ( r2 @ SV267 @ SY530 )
| ( SV285 @ SY530 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1398,plain,
! [SV285: $i > $o,SV303: $i,SV267: $i] :
( ( ( ~ ( r2 @ SV267 @ SV303 )
| ( SV285 @ SV303 ) )
= $true )
| ( ( SV285 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1399,plain,
! [SV286: $i > $o,SV268: $i] :
( ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true )
| ( ( ! [SY532: $i] :
( ~ ( r3 @ SV268 @ SY532 )
| ! [SY533: $i] :
( ~ ( r3 @ SY532 @ SY533 )
| ( SV286 @ SY533 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1400,plain,
! [SV286: $i > $o,SV304: $i,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ SV304 )
| ! [SY557: $i] :
( ~ ( r3 @ SV304 @ SY557 )
| ( SV286 @ SY557 ) ) )
= $true )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1401,plain,
! [SV287: $i > $o,SV269: $i] :
( ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true )
| ( ( ! [SY535: $i] :
( ~ ( r2 @ SV269 @ SY535 )
| ! [SY536: $i] :
( ~ ( r2 @ SY535 @ SY536 )
| ( SV287 @ SY536 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1365]) ).
thf(1402,plain,
! [SV287: $i > $o,SV305: $i,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ SV305 )
| ! [SY558: $i] :
( ~ ( r2 @ SV305 @ SY558 )
| ( SV287 @ SY558 ) ) )
= $true )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1403,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true )
| ( ( ~ ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1404,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $false )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1405,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true )
| ( ( ~ ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1369]) ).
thf(1406,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $false )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1407,plain,
! [SV290: $i > $o,SV294: $i,SV272: $i] :
( ( ( ~ ( r1 @ SV272 @ SV294 ) )
= $true )
| ( ( SV290 @ SV294 )
= $true )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1408,plain,
! [SV291: $i > $o,SV273: $i] :
( ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true )
| ( ( ! [SY545: $i] :
( ~ ( r3 @ SV273 @ SY545 )
| ! [SY546: $i] :
( ~ ( r1 @ SY545 @ SY546 )
| ( SV291 @ SY546 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1372]) ).
thf(1409,plain,
! [SV291: $i > $o,SV306: $i,SV273: $i] :
( ( ( ~ ( r3 @ SV273 @ SV306 )
| ! [SY559: $i] :
( ~ ( r1 @ SV306 @ SY559 )
| ( SV291 @ SY559 ) ) )
= $true )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1410,plain,
! [SV274: $i > $o,SV307: $i,SV256: $i] :
( ( ( ~ ( r2 @ SV256 @ SV307 )
| ! [SY560: $i] :
( ~ ( r1 @ SV307 @ SY560 )
| ( SV274 @ SY560 ) ) )
= $true )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1411,plain,
! [SV274: $i > $o,SV295: $i,SV256: $i] :
( ( ( ~ ( r2 @ SV256 @ SV295 ) )
= $true )
| ( ( ! [SY551: $i] :
( ~ ( r1 @ SV295 @ SY551 )
| ( SV274 @ SY551 ) ) )
= $true )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1412,plain,
( ( ~ ( r2 @ sK85_SX0 @ sK103_SY547 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1413,plain,
( ( sK86_SY498 @ sK103_SY547 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1376]) ).
thf(1414,plain,
! [SV308: $i] :
( ( ~ ( r2 @ sK88_SY548 @ SV308 )
| ( sK86_SY498 @ SV308 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1415,plain,
! [SV275: $i > $o,SV309: $i,SV257: $i] :
( ( ( ~ ( r3 @ SV257 @ SV309 )
| ! [SY561: $i] :
( ~ ( r2 @ SV309 @ SY561 )
| ( SV275 @ SY561 ) ) )
= $true )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1416,plain,
! [SV275: $i > $o,SV296: $i,SV257: $i] :
( ( ( ~ ( r3 @ SV257 @ SV296 ) )
= $true )
| ( ( ! [SY552: $i] :
( ~ ( r2 @ SV296 @ SY552 )
| ( SV275 @ SY552 ) ) )
= $true )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1380]) ).
thf(1417,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ! [SY506: $i] :
( ~ ( r2 @ SV258 @ SY506 )
| ~ ( SV276 @ SY506 ) ) )
= $false )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1381]) ).
thf(1418,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK104_SY506 @ SV276 @ SV258 ) )
| ~ ( SV276 @ ( sK104_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1419,plain,
! [SV277: $i > $o,SV292: $i,SV259: $i] :
( ( ( r2 @ SV259 @ SV292 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( ! [SY508: $i] :
( ~ ( r2 @ SV259 @ SY508 )
| ~ ! [SY509: $i] :
( ~ ( r2 @ SY508 @ SY509 )
| ( SV277 @ SY509 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1420,plain,
! [SV278: $i > $o,SV310: $i,SV260: $i] :
( ( ( ~ ( r1 @ SV260 @ SV310 )
| ( SV278 @ SV310 ) )
= $true )
| ( ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1421,plain,
! [SV278: $i > $o,SV297: $i,SV260: $i] :
( ( ( ~ ( r1 @ SV260 @ SV297 ) )
= $true )
| ( ( SV278 @ SV297 )
= $true )
| ( ( SV278 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1422,plain,
! [SV279: $i > $o,SV311: $i,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ SV311 )
| ! [SY562: $i] :
( ~ ( r1 @ SV311 @ SY562 )
| ( SV279 @ SY562 ) ) )
= $true )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1423,plain,
! [SV279: $i > $o,SV298: $i,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ SV298 ) )
= $true )
| ( ( ! [SY553: $i] :
( ~ ( r1 @ SV298 @ SY553 )
| ( SV279 @ SY553 ) ) )
= $true )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1424,plain,
! [SV280: $i > $o,SV312: $i,SV262: $i] :
( ( ( ~ ( r1 @ SV262 @ SV312 )
| ! [SY563: $i] :
( ~ ( r3 @ SV312 @ SY563 )
| ( SV280 @ SY563 ) ) )
= $true )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1425,plain,
! [SV280: $i > $o,SV299: $i,SV262: $i] :
( ( ( ~ ( r1 @ SV262 @ SV299 ) )
= $true )
| ( ( ! [SY554: $i] :
( ~ ( r3 @ SV299 @ SY554 )
| ( SV280 @ SY554 ) ) )
= $true )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1426,plain,
! [SV281: $i > $o,SV313: $i,SV263: $i] :
( ( ( ~ ( r1 @ SV263 @ SV313 )
| ( SV281 @ SV313 ) )
= $true )
| ( ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1427,plain,
! [SV281: $i > $o,SV300: $i,SV263: $i] :
( ( ( ~ ( r1 @ SV263 @ SV300 ) )
= $true )
| ( ( SV281 @ SV300 )
= $true )
| ( ( SV281 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1428,plain,
! [SV282: $i > $o,SV293: $i,SV264: $i] :
( ( ( r3 @ SV264 @ SV293 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( ! [SY521: $i] :
( ~ ( r3 @ SV264 @ SY521 )
| ~ ! [SY522: $i] :
( ~ ( r3 @ SY521 @ SY522 )
| ( SV282 @ SY522 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1429,plain,
! [SV283: $i > $o,SV314: $i,SV265: $i] :
( ( ( ~ ( r2 @ SV265 @ SV314 )
| ! [SY564: $i] :
( ~ ( r3 @ SV314 @ SY564 )
| ( SV283 @ SY564 ) ) )
= $true )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(1430,plain,
! [SV283: $i > $o,SV301: $i,SV265: $i] :
( ( ( ~ ( r2 @ SV265 @ SV301 ) )
= $true )
| ( ( ! [SY555: $i] :
( ~ ( r3 @ SV301 @ SY555 )
| ( SV283 @ SY555 ) ) )
= $true )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1431,plain,
! [SV284: $i > $o,SV315: $i,SV266: $i] :
( ( ( ~ ( r1 @ SV266 @ SV315 )
| ! [SY565: $i] :
( ~ ( r2 @ SV315 @ SY565 )
| ( SV284 @ SY565 ) ) )
= $true )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(1432,plain,
! [SV284: $i > $o,SV302: $i,SV266: $i] :
( ( ( ~ ( r1 @ SV266 @ SV302 ) )
= $true )
| ( ( ! [SY556: $i] :
( ~ ( r2 @ SV302 @ SY556 )
| ( SV284 @ SY556 ) ) )
= $true )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1433,plain,
! [SV285: $i > $o,SV316: $i,SV267: $i] :
( ( ( ~ ( r2 @ SV267 @ SV316 )
| ( SV285 @ SV316 ) )
= $true )
| ( ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1434,plain,
! [SV285: $i > $o,SV303: $i,SV267: $i] :
( ( ( ~ ( r2 @ SV267 @ SV303 ) )
= $true )
| ( ( SV285 @ SV303 )
= $true )
| ( ( SV285 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1435,plain,
! [SV286: $i > $o,SV317: $i,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ SV317 )
| ! [SY566: $i] :
( ~ ( r3 @ SV317 @ SY566 )
| ( SV286 @ SY566 ) ) )
= $true )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(1436,plain,
! [SV286: $i > $o,SV304: $i,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ SV304 ) )
= $true )
| ( ( ! [SY557: $i] :
( ~ ( r3 @ SV304 @ SY557 )
| ( SV286 @ SY557 ) ) )
= $true )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1437,plain,
! [SV287: $i > $o,SV318: $i,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ SV318 )
| ! [SY567: $i] :
( ~ ( r2 @ SV318 @ SY567 )
| ( SV287 @ SY567 ) ) )
= $true )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(1438,plain,
! [SV287: $i > $o,SV305: $i,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ SV305 ) )
= $true )
| ( ( ! [SY558: $i] :
( ~ ( r2 @ SV305 @ SY558 )
| ( SV287 @ SY558 ) ) )
= $true )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1439,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ! [SY538: $i] :
( ~ ( r1 @ SV270 @ SY538 )
| ~ ( SV288 @ SY538 ) ) )
= $false )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1440,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK105_SY538 @ SV288 @ SV270 ) )
| ~ ( SV288 @ ( sK105_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1404]) ).
thf(1441,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ! [SY540: $i] :
( ~ ( r3 @ SV271 @ SY540 )
| ~ ( SV289 @ SY540 ) ) )
= $false )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1442,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK106_SY540 @ SV289 @ SV271 ) )
| ~ ( SV289 @ ( sK106_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1406]) ).
thf(1443,plain,
! [SV290: $i > $o,SV294: $i,SV272: $i] :
( ( ( r1 @ SV272 @ SV294 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( ! [SY542: $i] :
( ~ ( r1 @ SV272 @ SY542 )
| ~ ! [SY543: $i] :
( ~ ( r1 @ SY542 @ SY543 )
| ( SV290 @ SY543 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1444,plain,
! [SV291: $i > $o,SV319: $i,SV273: $i] :
( ( ( ~ ( r3 @ SV273 @ SV319 )
| ! [SY568: $i] :
( ~ ( r1 @ SV319 @ SY568 )
| ( SV291 @ SY568 ) ) )
= $true )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(1445,plain,
! [SV291: $i > $o,SV306: $i,SV273: $i] :
( ( ( ~ ( r3 @ SV273 @ SV306 ) )
= $true )
| ( ( ! [SY559: $i] :
( ~ ( r1 @ SV306 @ SY559 )
| ( SV291 @ SY559 ) ) )
= $true )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1446,plain,
! [SV274: $i > $o,SV307: $i,SV256: $i] :
( ( ( ~ ( r2 @ SV256 @ SV307 ) )
= $true )
| ( ( ! [SY560: $i] :
( ~ ( r1 @ SV307 @ SY560 )
| ( SV274 @ SY560 ) ) )
= $true )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1447,plain,
! [SV274: $i > $o,SV295: $i,SV256: $i] :
( ( ( r2 @ SV256 @ SV295 )
= $false )
| ( ( ! [SY551: $i] :
( ~ ( r1 @ SV295 @ SY551 )
| ( SV274 @ SY551 ) ) )
= $true )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1448,plain,
( ( r2 @ sK85_SX0 @ sK103_SY547 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1412]) ).
thf(1449,plain,
! [SV308: $i] :
( ( ( ~ ( r2 @ sK88_SY548 @ SV308 ) )
= $true )
| ( ( sK86_SY498 @ SV308 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1450,plain,
! [SV275: $i > $o,SV309: $i,SV257: $i] :
( ( ( ~ ( r3 @ SV257 @ SV309 ) )
= $true )
| ( ( ! [SY561: $i] :
( ~ ( r2 @ SV309 @ SY561 )
| ( SV275 @ SY561 ) ) )
= $true )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1451,plain,
! [SV275: $i > $o,SV296: $i,SV257: $i] :
( ( ( r3 @ SV257 @ SV296 )
= $false )
| ( ( ! [SY552: $i] :
( ~ ( r2 @ SV296 @ SY552 )
| ( SV275 @ SY552 ) ) )
= $true )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1452,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK107_SY506 @ SV276 @ SV258 ) )
| ~ ( SV276 @ ( sK107_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1417]) ).
thf(1453,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK104_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1454,plain,
! [SV258: $i,SV276: $i > $o] :
( ( ( ~ ( SV276 @ ( sK104_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1418]) ).
thf(1455,plain,
! [SV292: $i,SV277: $i > $o,SV320: $i,SV259: $i] :
( ( ( ~ ( r2 @ SV259 @ SV320 )
| ~ ! [SY569: $i] :
( ~ ( r2 @ SV320 @ SY569 )
| ( SV277 @ SY569 ) ) )
= $true )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(1456,plain,
! [SV278: $i > $o,SV310: $i,SV260: $i] :
( ( ( ~ ( r1 @ SV260 @ SV310 ) )
= $true )
| ( ( SV278 @ SV310 )
= $true )
| ( ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1457,plain,
! [SV278: $i > $o,SV297: $i,SV260: $i] :
( ( ( r1 @ SV260 @ SV297 )
= $false )
| ( ( SV278 @ SV297 )
= $true )
| ( ( SV278 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1458,plain,
! [SV279: $i > $o,SV311: $i,SV261: $i] :
( ( ( ~ ( r1 @ SV261 @ SV311 ) )
= $true )
| ( ( ! [SY562: $i] :
( ~ ( r1 @ SV311 @ SY562 )
| ( SV279 @ SY562 ) ) )
= $true )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1459,plain,
! [SV279: $i > $o,SV298: $i,SV261: $i] :
( ( ( r1 @ SV261 @ SV298 )
= $false )
| ( ( ! [SY553: $i] :
( ~ ( r1 @ SV298 @ SY553 )
| ( SV279 @ SY553 ) ) )
= $true )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1460,plain,
! [SV280: $i > $o,SV312: $i,SV262: $i] :
( ( ( ~ ( r1 @ SV262 @ SV312 ) )
= $true )
| ( ( ! [SY563: $i] :
( ~ ( r3 @ SV312 @ SY563 )
| ( SV280 @ SY563 ) ) )
= $true )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1461,plain,
! [SV280: $i > $o,SV299: $i,SV262: $i] :
( ( ( r1 @ SV262 @ SV299 )
= $false )
| ( ( ! [SY554: $i] :
( ~ ( r3 @ SV299 @ SY554 )
| ( SV280 @ SY554 ) ) )
= $true )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1462,plain,
! [SV281: $i > $o,SV313: $i,SV263: $i] :
( ( ( ~ ( r1 @ SV263 @ SV313 ) )
= $true )
| ( ( SV281 @ SV313 )
= $true )
| ( ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1426]) ).
thf(1463,plain,
! [SV281: $i > $o,SV300: $i,SV263: $i] :
( ( ( r1 @ SV263 @ SV300 )
= $false )
| ( ( SV281 @ SV300 )
= $true )
| ( ( SV281 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1464,plain,
! [SV293: $i,SV282: $i > $o,SV321: $i,SV264: $i] :
( ( ( ~ ( r3 @ SV264 @ SV321 )
| ~ ! [SY570: $i] :
( ~ ( r3 @ SV321 @ SY570 )
| ( SV282 @ SY570 ) ) )
= $true )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(1465,plain,
! [SV283: $i > $o,SV314: $i,SV265: $i] :
( ( ( ~ ( r2 @ SV265 @ SV314 ) )
= $true )
| ( ( ! [SY564: $i] :
( ~ ( r3 @ SV314 @ SY564 )
| ( SV283 @ SY564 ) ) )
= $true )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1466,plain,
! [SV283: $i > $o,SV301: $i,SV265: $i] :
( ( ( r2 @ SV265 @ SV301 )
= $false )
| ( ( ! [SY555: $i] :
( ~ ( r3 @ SV301 @ SY555 )
| ( SV283 @ SY555 ) ) )
= $true )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1467,plain,
! [SV284: $i > $o,SV315: $i,SV266: $i] :
( ( ( ~ ( r1 @ SV266 @ SV315 ) )
= $true )
| ( ( ! [SY565: $i] :
( ~ ( r2 @ SV315 @ SY565 )
| ( SV284 @ SY565 ) ) )
= $true )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1431]) ).
thf(1468,plain,
! [SV284: $i > $o,SV302: $i,SV266: $i] :
( ( ( r1 @ SV266 @ SV302 )
= $false )
| ( ( ! [SY556: $i] :
( ~ ( r2 @ SV302 @ SY556 )
| ( SV284 @ SY556 ) ) )
= $true )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1469,plain,
! [SV285: $i > $o,SV316: $i,SV267: $i] :
( ( ( ~ ( r2 @ SV267 @ SV316 ) )
= $true )
| ( ( SV285 @ SV316 )
= $true )
| ( ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1470,plain,
! [SV285: $i > $o,SV303: $i,SV267: $i] :
( ( ( r2 @ SV267 @ SV303 )
= $false )
| ( ( SV285 @ SV303 )
= $true )
| ( ( SV285 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1471,plain,
! [SV286: $i > $o,SV317: $i,SV268: $i] :
( ( ( ~ ( r3 @ SV268 @ SV317 ) )
= $true )
| ( ( ! [SY566: $i] :
( ~ ( r3 @ SV317 @ SY566 )
| ( SV286 @ SY566 ) ) )
= $true )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1472,plain,
! [SV286: $i > $o,SV304: $i,SV268: $i] :
( ( ( r3 @ SV268 @ SV304 )
= $false )
| ( ( ! [SY557: $i] :
( ~ ( r3 @ SV304 @ SY557 )
| ( SV286 @ SY557 ) ) )
= $true )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1473,plain,
! [SV287: $i > $o,SV318: $i,SV269: $i] :
( ( ( ~ ( r2 @ SV269 @ SV318 ) )
= $true )
| ( ( ! [SY567: $i] :
( ~ ( r2 @ SV318 @ SY567 )
| ( SV287 @ SY567 ) ) )
= $true )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1437]) ).
thf(1474,plain,
! [SV287: $i > $o,SV305: $i,SV269: $i] :
( ( ( r2 @ SV269 @ SV305 )
= $false )
| ( ( ! [SY558: $i] :
( ~ ( r2 @ SV305 @ SY558 )
| ( SV287 @ SY558 ) ) )
= $true )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1475,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK108_SY538 @ SV288 @ SV270 ) )
| ~ ( SV288 @ ( sK108_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1439]) ).
thf(1476,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK105_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1477,plain,
! [SV270: $i,SV288: $i > $o] :
( ( ( ~ ( SV288 @ ( sK105_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1478,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK109_SY540 @ SV289 @ SV271 ) )
| ~ ( SV289 @ ( sK109_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1441]) ).
thf(1479,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK106_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1480,plain,
! [SV271: $i,SV289: $i > $o] :
( ( ( ~ ( SV289 @ ( sK106_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1481,plain,
! [SV294: $i,SV290: $i > $o,SV322: $i,SV272: $i] :
( ( ( ~ ( r1 @ SV272 @ SV322 )
| ~ ! [SY571: $i] :
( ~ ( r1 @ SV322 @ SY571 )
| ( SV290 @ SY571 ) ) )
= $true )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(1482,plain,
! [SV291: $i > $o,SV319: $i,SV273: $i] :
( ( ( ~ ( r3 @ SV273 @ SV319 ) )
= $true )
| ( ( ! [SY568: $i] :
( ~ ( r1 @ SV319 @ SY568 )
| ( SV291 @ SY568 ) ) )
= $true )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1483,plain,
! [SV291: $i > $o,SV306: $i,SV273: $i] :
( ( ( r3 @ SV273 @ SV306 )
= $false )
| ( ( ! [SY559: $i] :
( ~ ( r1 @ SV306 @ SY559 )
| ( SV291 @ SY559 ) ) )
= $true )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1484,plain,
! [SV274: $i > $o,SV307: $i,SV256: $i] :
( ( ( r2 @ SV256 @ SV307 )
= $false )
| ( ( ! [SY560: $i] :
( ~ ( r1 @ SV307 @ SY560 )
| ( SV274 @ SY560 ) ) )
= $true )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1485,plain,
! [SV256: $i,SV274: $i > $o,SV323: $i,SV295: $i] :
( ( ( ~ ( r1 @ SV295 @ SV323 )
| ( SV274 @ SV323 ) )
= $true )
| ( ( r2 @ SV256 @ SV295 )
= $false )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(1486,plain,
! [SV308: $i] :
( ( ( r2 @ sK88_SY548 @ SV308 )
= $false )
| ( ( sK86_SY498 @ SV308 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1487,plain,
! [SV275: $i > $o,SV309: $i,SV257: $i] :
( ( ( r3 @ SV257 @ SV309 )
= $false )
| ( ( ! [SY561: $i] :
( ~ ( r2 @ SV309 @ SY561 )
| ( SV275 @ SY561 ) ) )
= $true )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1488,plain,
! [SV257: $i,SV275: $i > $o,SV324: $i,SV296: $i] :
( ( ( ~ ( r2 @ SV296 @ SV324 )
| ( SV275 @ SV324 ) )
= $true )
| ( ( r3 @ SV257 @ SV296 )
= $false )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(1489,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( ~ ( r2 @ SV258 @ ( sK107_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1490,plain,
! [SV258: $i,SV276: $i > $o] :
( ( ( ~ ( SV276 @ ( sK107_SY506 @ SV276 @ SV258 ) ) )
= $false )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1452]) ).
thf(1491,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( r2 @ SV258 @ ( sK104_SY506 @ SV276 @ SV258 ) )
= $true )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1492,plain,
! [SV258: $i,SV276: $i > $o] :
( ( ( SV276 @ ( sK104_SY506 @ SV276 @ SV258 ) )
= $true )
| ( ( SV276 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1493,plain,
! [SV292: $i,SV277: $i > $o,SV320: $i,SV259: $i] :
( ( ( ~ ( r2 @ SV259 @ SV320 ) )
= $true )
| ( ( ~ ! [SY569: $i] :
( ~ ( r2 @ SV320 @ SY569 )
| ( SV277 @ SY569 ) ) )
= $true )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1494,plain,
! [SV278: $i > $o,SV310: $i,SV260: $i] :
( ( ( r1 @ SV260 @ SV310 )
= $false )
| ( ( SV278 @ SV310 )
= $true )
| ( ( r3 @ SV260 @ ( sK91_SY510 @ SV278 @ SV260 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1495,plain,
! [SV279: $i > $o,SV311: $i,SV261: $i] :
( ( ( r1 @ SV261 @ SV311 )
= $false )
| ( ( ! [SY562: $i] :
( ~ ( r1 @ SV311 @ SY562 )
| ( SV279 @ SY562 ) ) )
= $true )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1496,plain,
! [SV261: $i,SV279: $i > $o,SV325: $i,SV298: $i] :
( ( ( ~ ( r1 @ SV298 @ SV325 )
| ( SV279 @ SV325 ) )
= $true )
| ( ( r1 @ SV261 @ SV298 )
= $false )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(1497,plain,
! [SV280: $i > $o,SV312: $i,SV262: $i] :
( ( ( r1 @ SV262 @ SV312 )
= $false )
| ( ( ! [SY563: $i] :
( ~ ( r3 @ SV312 @ SY563 )
| ( SV280 @ SY563 ) ) )
= $true )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1498,plain,
! [SV262: $i,SV280: $i > $o,SV326: $i,SV299: $i] :
( ( ( ~ ( r3 @ SV299 @ SV326 )
| ( SV280 @ SV326 ) )
= $true )
| ( ( r1 @ SV262 @ SV299 )
= $false )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(1499,plain,
! [SV281: $i > $o,SV313: $i,SV263: $i] :
( ( ( r1 @ SV263 @ SV313 )
= $false )
| ( ( SV281 @ SV313 )
= $true )
| ( ( r2 @ SV263 @ ( sK94_SY518 @ SV281 @ SV263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1500,plain,
! [SV293: $i,SV282: $i > $o,SV321: $i,SV264: $i] :
( ( ( ~ ( r3 @ SV264 @ SV321 ) )
= $true )
| ( ( ~ ! [SY570: $i] :
( ~ ( r3 @ SV321 @ SY570 )
| ( SV282 @ SY570 ) ) )
= $true )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1501,plain,
! [SV283: $i > $o,SV314: $i,SV265: $i] :
( ( ( r2 @ SV265 @ SV314 )
= $false )
| ( ( ! [SY564: $i] :
( ~ ( r3 @ SV314 @ SY564 )
| ( SV283 @ SY564 ) ) )
= $true )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1502,plain,
! [SV265: $i,SV283: $i > $o,SV327: $i,SV301: $i] :
( ( ( ~ ( r3 @ SV301 @ SV327 )
| ( SV283 @ SV327 ) )
= $true )
| ( ( r2 @ SV265 @ SV301 )
= $false )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(1503,plain,
! [SV284: $i > $o,SV315: $i,SV266: $i] :
( ( ( r1 @ SV266 @ SV315 )
= $false )
| ( ( ! [SY565: $i] :
( ~ ( r2 @ SV315 @ SY565 )
| ( SV284 @ SY565 ) ) )
= $true )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1504,plain,
! [SV266: $i,SV284: $i > $o,SV328: $i,SV302: $i] :
( ( ( ~ ( r2 @ SV302 @ SV328 )
| ( SV284 @ SV328 ) )
= $true )
| ( ( r1 @ SV266 @ SV302 )
= $false )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(1505,plain,
! [SV285: $i > $o,SV316: $i,SV267: $i] :
( ( ( r2 @ SV267 @ SV316 )
= $false )
| ( ( SV285 @ SV316 )
= $true )
| ( ( r3 @ SV267 @ ( sK97_SY529 @ SV285 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1506,plain,
! [SV286: $i > $o,SV317: $i,SV268: $i] :
( ( ( r3 @ SV268 @ SV317 )
= $false )
| ( ( ! [SY566: $i] :
( ~ ( r3 @ SV317 @ SY566 )
| ( SV286 @ SY566 ) ) )
= $true )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1507,plain,
! [SV268: $i,SV286: $i > $o,SV329: $i,SV304: $i] :
( ( ( ~ ( r3 @ SV304 @ SV329 )
| ( SV286 @ SV329 ) )
= $true )
| ( ( r3 @ SV268 @ SV304 )
= $false )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(1508,plain,
! [SV287: $i > $o,SV318: $i,SV269: $i] :
( ( ( r2 @ SV269 @ SV318 )
= $false )
| ( ( ! [SY567: $i] :
( ~ ( r2 @ SV318 @ SY567 )
| ( SV287 @ SY567 ) ) )
= $true )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1509,plain,
! [SV269: $i,SV287: $i > $o,SV330: $i,SV305: $i] :
( ( ( ~ ( r2 @ SV305 @ SV330 )
| ( SV287 @ SV330 ) )
= $true )
| ( ( r2 @ SV269 @ SV305 )
= $false )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(1510,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( ~ ( r1 @ SV270 @ ( sK108_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1511,plain,
! [SV270: $i,SV288: $i > $o] :
( ( ( ~ ( SV288 @ ( sK108_SY538 @ SV288 @ SV270 ) ) )
= $false )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1475]) ).
thf(1512,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( r1 @ SV270 @ ( sK105_SY538 @ SV288 @ SV270 ) )
= $true )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1513,plain,
! [SV270: $i,SV288: $i > $o] :
( ( ( SV288 @ ( sK105_SY538 @ SV288 @ SV270 ) )
= $true )
| ( ( SV288 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1477]) ).
thf(1514,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( ~ ( r3 @ SV271 @ ( sK109_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1515,plain,
! [SV271: $i,SV289: $i > $o] :
( ( ( ~ ( SV289 @ ( sK109_SY540 @ SV289 @ SV271 ) ) )
= $false )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1516,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( r3 @ SV271 @ ( sK106_SY540 @ SV289 @ SV271 ) )
= $true )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1517,plain,
! [SV271: $i,SV289: $i > $o] :
( ( ( SV289 @ ( sK106_SY540 @ SV289 @ SV271 ) )
= $true )
| ( ( SV289 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1518,plain,
! [SV294: $i,SV290: $i > $o,SV322: $i,SV272: $i] :
( ( ( ~ ( r1 @ SV272 @ SV322 ) )
= $true )
| ( ( ~ ! [SY571: $i] :
( ~ ( r1 @ SV322 @ SY571 )
| ( SV290 @ SY571 ) ) )
= $true )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1481]) ).
thf(1519,plain,
! [SV291: $i > $o,SV319: $i,SV273: $i] :
( ( ( r3 @ SV273 @ SV319 )
= $false )
| ( ( ! [SY568: $i] :
( ~ ( r1 @ SV319 @ SY568 )
| ( SV291 @ SY568 ) ) )
= $true )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1520,plain,
! [SV273: $i,SV291: $i > $o,SV331: $i,SV306: $i] :
( ( ( ~ ( r1 @ SV306 @ SV331 )
| ( SV291 @ SV331 ) )
= $true )
| ( ( r3 @ SV273 @ SV306 )
= $false )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(1521,plain,
! [SV256: $i,SV274: $i > $o,SV332: $i,SV307: $i] :
( ( ( ~ ( r1 @ SV307 @ SV332 )
| ( SV274 @ SV332 ) )
= $true )
| ( ( r2 @ SV256 @ SV307 )
= $false )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1522,plain,
! [SV256: $i,SV274: $i > $o,SV323: $i,SV295: $i] :
( ( ( ~ ( r1 @ SV295 @ SV323 ) )
= $true )
| ( ( SV274 @ SV323 )
= $true )
| ( ( r2 @ SV256 @ SV295 )
= $false )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1523,plain,
! [SV257: $i,SV275: $i > $o,SV333: $i,SV309: $i] :
( ( ( ~ ( r2 @ SV309 @ SV333 )
| ( SV275 @ SV333 ) )
= $true )
| ( ( r3 @ SV257 @ SV309 )
= $false )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1524,plain,
! [SV257: $i,SV275: $i > $o,SV324: $i,SV296: $i] :
( ( ( ~ ( r2 @ SV296 @ SV324 ) )
= $true )
| ( ( SV275 @ SV324 )
= $true )
| ( ( r3 @ SV257 @ SV296 )
= $false )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1525,plain,
! [SV276: $i > $o,SV258: $i] :
( ( ( r2 @ SV258 @ ( sK107_SY506 @ SV276 @ SV258 ) )
= $true )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1526,plain,
! [SV258: $i,SV276: $i > $o] :
( ( ( SV276 @ ( sK107_SY506 @ SV276 @ SV258 ) )
= $true )
| ( ( r2 @ SV258 @ ( sK90_SY505 @ SV276 @ SV258 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1490]) ).
thf(1527,plain,
! [SV292: $i,SV277: $i > $o,SV320: $i,SV259: $i] :
( ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( ~ ! [SY569: $i] :
( ~ ( r2 @ SV320 @ SY569 )
| ( SV277 @ SY569 ) ) )
= $true )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1528,plain,
! [SV261: $i,SV279: $i > $o,SV334: $i,SV311: $i] :
( ( ( ~ ( r1 @ SV311 @ SV334 )
| ( SV279 @ SV334 ) )
= $true )
| ( ( r1 @ SV261 @ SV311 )
= $false )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(1529,plain,
! [SV261: $i,SV279: $i > $o,SV325: $i,SV298: $i] :
( ( ( ~ ( r1 @ SV298 @ SV325 ) )
= $true )
| ( ( SV279 @ SV325 )
= $true )
| ( ( r1 @ SV261 @ SV298 )
= $false )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1530,plain,
! [SV262: $i,SV280: $i > $o,SV335: $i,SV312: $i] :
( ( ( ~ ( r3 @ SV312 @ SV335 )
| ( SV280 @ SV335 ) )
= $true )
| ( ( r1 @ SV262 @ SV312 )
= $false )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(1531,plain,
! [SV262: $i,SV280: $i > $o,SV326: $i,SV299: $i] :
( ( ( ~ ( r3 @ SV299 @ SV326 ) )
= $true )
| ( ( SV280 @ SV326 )
= $true )
| ( ( r1 @ SV262 @ SV299 )
= $false )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1498]) ).
thf(1532,plain,
! [SV293: $i,SV282: $i > $o,SV321: $i,SV264: $i] :
( ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( ~ ! [SY570: $i] :
( ~ ( r3 @ SV321 @ SY570 )
| ( SV282 @ SY570 ) ) )
= $true )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1533,plain,
! [SV265: $i,SV283: $i > $o,SV336: $i,SV314: $i] :
( ( ( ~ ( r3 @ SV314 @ SV336 )
| ( SV283 @ SV336 ) )
= $true )
| ( ( r2 @ SV265 @ SV314 )
= $false )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(1534,plain,
! [SV265: $i,SV283: $i > $o,SV327: $i,SV301: $i] :
( ( ( ~ ( r3 @ SV301 @ SV327 ) )
= $true )
| ( ( SV283 @ SV327 )
= $true )
| ( ( r2 @ SV265 @ SV301 )
= $false )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1502]) ).
thf(1535,plain,
! [SV266: $i,SV284: $i > $o,SV337: $i,SV315: $i] :
( ( ( ~ ( r2 @ SV315 @ SV337 )
| ( SV284 @ SV337 ) )
= $true )
| ( ( r1 @ SV266 @ SV315 )
= $false )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(1536,plain,
! [SV266: $i,SV284: $i > $o,SV328: $i,SV302: $i] :
( ( ( ~ ( r2 @ SV302 @ SV328 ) )
= $true )
| ( ( SV284 @ SV328 )
= $true )
| ( ( r1 @ SV266 @ SV302 )
= $false )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1504]) ).
thf(1537,plain,
! [SV268: $i,SV286: $i > $o,SV338: $i,SV317: $i] :
( ( ( ~ ( r3 @ SV317 @ SV338 )
| ( SV286 @ SV338 ) )
= $true )
| ( ( r3 @ SV268 @ SV317 )
= $false )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1538,plain,
! [SV268: $i,SV286: $i > $o,SV329: $i,SV304: $i] :
( ( ( ~ ( r3 @ SV304 @ SV329 ) )
= $true )
| ( ( SV286 @ SV329 )
= $true )
| ( ( r3 @ SV268 @ SV304 )
= $false )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1539,plain,
! [SV269: $i,SV287: $i > $o,SV339: $i,SV318: $i] :
( ( ( ~ ( r2 @ SV318 @ SV339 )
| ( SV287 @ SV339 ) )
= $true )
| ( ( r2 @ SV269 @ SV318 )
= $false )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(1540,plain,
! [SV269: $i,SV287: $i > $o,SV330: $i,SV305: $i] :
( ( ( ~ ( r2 @ SV305 @ SV330 ) )
= $true )
| ( ( SV287 @ SV330 )
= $true )
| ( ( r2 @ SV269 @ SV305 )
= $false )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1541,plain,
! [SV288: $i > $o,SV270: $i] :
( ( ( r1 @ SV270 @ ( sK108_SY538 @ SV288 @ SV270 ) )
= $true )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1542,plain,
! [SV270: $i,SV288: $i > $o] :
( ( ( SV288 @ ( sK108_SY538 @ SV288 @ SV270 ) )
= $true )
| ( ( r1 @ SV270 @ ( sK100_SY537 @ SV288 @ SV270 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1543,plain,
! [SV289: $i > $o,SV271: $i] :
( ( ( r3 @ SV271 @ ( sK109_SY540 @ SV289 @ SV271 ) )
= $true )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1544,plain,
! [SV271: $i,SV289: $i > $o] :
( ( ( SV289 @ ( sK109_SY540 @ SV289 @ SV271 ) )
= $true )
| ( ( r3 @ SV271 @ ( sK101_SY539 @ SV289 @ SV271 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1545,plain,
! [SV294: $i,SV290: $i > $o,SV322: $i,SV272: $i] :
( ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( ~ ! [SY571: $i] :
( ~ ( r1 @ SV322 @ SY571 )
| ( SV290 @ SY571 ) ) )
= $true )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1546,plain,
! [SV273: $i,SV291: $i > $o,SV340: $i,SV319: $i] :
( ( ( ~ ( r1 @ SV319 @ SV340 )
| ( SV291 @ SV340 ) )
= $true )
| ( ( r3 @ SV273 @ SV319 )
= $false )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(1547,plain,
! [SV273: $i,SV291: $i > $o,SV331: $i,SV306: $i] :
( ( ( ~ ( r1 @ SV306 @ SV331 ) )
= $true )
| ( ( SV291 @ SV331 )
= $true )
| ( ( r3 @ SV273 @ SV306 )
= $false )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1520]) ).
thf(1548,plain,
! [SV256: $i,SV274: $i > $o,SV332: $i,SV307: $i] :
( ( ( ~ ( r1 @ SV307 @ SV332 ) )
= $true )
| ( ( SV274 @ SV332 )
= $true )
| ( ( r2 @ SV256 @ SV307 )
= $false )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1521]) ).
thf(1549,plain,
! [SV256: $i,SV274: $i > $o,SV323: $i,SV295: $i] :
( ( ( r1 @ SV295 @ SV323 )
= $false )
| ( ( SV274 @ SV323 )
= $true )
| ( ( r2 @ SV256 @ SV295 )
= $false )
| ( ( SV274 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1550,plain,
! [SV257: $i,SV275: $i > $o,SV333: $i,SV309: $i] :
( ( ( ~ ( r2 @ SV309 @ SV333 ) )
= $true )
| ( ( SV275 @ SV333 )
= $true )
| ( ( r3 @ SV257 @ SV309 )
= $false )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1551,plain,
! [SV257: $i,SV275: $i > $o,SV324: $i,SV296: $i] :
( ( ( r2 @ SV296 @ SV324 )
= $false )
| ( ( SV275 @ SV324 )
= $true )
| ( ( r3 @ SV257 @ SV296 )
= $false )
| ( ( SV275 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1552,plain,
! [SV292: $i,SV259: $i,SV277: $i > $o,SV320: $i] :
( ( ( ! [SY569: $i] :
( ~ ( r2 @ SV320 @ SY569 )
| ( SV277 @ SY569 ) ) )
= $false )
| ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1553,plain,
! [SV261: $i,SV279: $i > $o,SV334: $i,SV311: $i] :
( ( ( ~ ( r1 @ SV311 @ SV334 ) )
= $true )
| ( ( SV279 @ SV334 )
= $true )
| ( ( r1 @ SV261 @ SV311 )
= $false )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1528]) ).
thf(1554,plain,
! [SV261: $i,SV279: $i > $o,SV325: $i,SV298: $i] :
( ( ( r1 @ SV298 @ SV325 )
= $false )
| ( ( SV279 @ SV325 )
= $true )
| ( ( r1 @ SV261 @ SV298 )
= $false )
| ( ( SV279 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1529]) ).
thf(1555,plain,
! [SV262: $i,SV280: $i > $o,SV335: $i,SV312: $i] :
( ( ( ~ ( r3 @ SV312 @ SV335 ) )
= $true )
| ( ( SV280 @ SV335 )
= $true )
| ( ( r1 @ SV262 @ SV312 )
= $false )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1530]) ).
thf(1556,plain,
! [SV262: $i,SV280: $i > $o,SV326: $i,SV299: $i] :
( ( ( r3 @ SV299 @ SV326 )
= $false )
| ( ( SV280 @ SV326 )
= $true )
| ( ( r1 @ SV262 @ SV299 )
= $false )
| ( ( SV280 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1531]) ).
thf(1557,plain,
! [SV293: $i,SV264: $i,SV282: $i > $o,SV321: $i] :
( ( ( ! [SY570: $i] :
( ~ ( r3 @ SV321 @ SY570 )
| ( SV282 @ SY570 ) ) )
= $false )
| ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1558,plain,
! [SV265: $i,SV283: $i > $o,SV336: $i,SV314: $i] :
( ( ( ~ ( r3 @ SV314 @ SV336 ) )
= $true )
| ( ( SV283 @ SV336 )
= $true )
| ( ( r2 @ SV265 @ SV314 )
= $false )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1533]) ).
thf(1559,plain,
! [SV265: $i,SV283: $i > $o,SV327: $i,SV301: $i] :
( ( ( r3 @ SV301 @ SV327 )
= $false )
| ( ( SV283 @ SV327 )
= $true )
| ( ( r2 @ SV265 @ SV301 )
= $false )
| ( ( SV283 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1560,plain,
! [SV266: $i,SV284: $i > $o,SV337: $i,SV315: $i] :
( ( ( ~ ( r2 @ SV315 @ SV337 ) )
= $true )
| ( ( SV284 @ SV337 )
= $true )
| ( ( r1 @ SV266 @ SV315 )
= $false )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1535]) ).
thf(1561,plain,
! [SV266: $i,SV284: $i > $o,SV328: $i,SV302: $i] :
( ( ( r2 @ SV302 @ SV328 )
= $false )
| ( ( SV284 @ SV328 )
= $true )
| ( ( r1 @ SV266 @ SV302 )
= $false )
| ( ( SV284 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1562,plain,
! [SV268: $i,SV286: $i > $o,SV338: $i,SV317: $i] :
( ( ( ~ ( r3 @ SV317 @ SV338 ) )
= $true )
| ( ( SV286 @ SV338 )
= $true )
| ( ( r3 @ SV268 @ SV317 )
= $false )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1537]) ).
thf(1563,plain,
! [SV268: $i,SV286: $i > $o,SV329: $i,SV304: $i] :
( ( ( r3 @ SV304 @ SV329 )
= $false )
| ( ( SV286 @ SV329 )
= $true )
| ( ( r3 @ SV268 @ SV304 )
= $false )
| ( ( SV286 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1564,plain,
! [SV269: $i,SV287: $i > $o,SV339: $i,SV318: $i] :
( ( ( ~ ( r2 @ SV318 @ SV339 ) )
= $true )
| ( ( SV287 @ SV339 )
= $true )
| ( ( r2 @ SV269 @ SV318 )
= $false )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1539]) ).
thf(1565,plain,
! [SV269: $i,SV287: $i > $o,SV330: $i,SV305: $i] :
( ( ( r2 @ SV305 @ SV330 )
= $false )
| ( ( SV287 @ SV330 )
= $true )
| ( ( r2 @ SV269 @ SV305 )
= $false )
| ( ( SV287 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1566,plain,
! [SV294: $i,SV272: $i,SV290: $i > $o,SV322: $i] :
( ( ( ! [SY571: $i] :
( ~ ( r1 @ SV322 @ SY571 )
| ( SV290 @ SY571 ) ) )
= $false )
| ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1567,plain,
! [SV273: $i,SV291: $i > $o,SV340: $i,SV319: $i] :
( ( ( ~ ( r1 @ SV319 @ SV340 ) )
= $true )
| ( ( SV291 @ SV340 )
= $true )
| ( ( r3 @ SV273 @ SV319 )
= $false )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1546]) ).
thf(1568,plain,
! [SV273: $i,SV291: $i > $o,SV331: $i,SV306: $i] :
( ( ( r1 @ SV306 @ SV331 )
= $false )
| ( ( SV291 @ SV331 )
= $true )
| ( ( r3 @ SV273 @ SV306 )
= $false )
| ( ( SV291 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1569,plain,
! [SV256: $i,SV274: $i > $o,SV332: $i,SV307: $i] :
( ( ( r1 @ SV307 @ SV332 )
= $false )
| ( ( SV274 @ SV332 )
= $true )
| ( ( r2 @ SV256 @ SV307 )
= $false )
| ( ( r1 @ SV256 @ ( sK87_SY495 @ SV274 @ SV256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1570,plain,
! [SV257: $i,SV275: $i > $o,SV333: $i,SV309: $i] :
( ( ( r2 @ SV309 @ SV333 )
= $false )
| ( ( SV275 @ SV333 )
= $true )
| ( ( r3 @ SV257 @ SV309 )
= $false )
| ( ( r2 @ SV257 @ ( sK89_SY502 @ SV275 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1571,plain,
! [SV277: $i > $o,SV259: $i,SV292: $i,SV320: $i] :
( ( ( ~ ( r2 @ SV320 @ ( sK110_SY569 @ SV292 @ SV259 @ SV277 @ SV320 ) )
| ( SV277 @ ( sK110_SY569 @ SV292 @ SV259 @ SV277 @ SV320 ) ) )
= $false )
| ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1552]) ).
thf(1572,plain,
! [SV261: $i,SV279: $i > $o,SV334: $i,SV311: $i] :
( ( ( r1 @ SV311 @ SV334 )
= $false )
| ( ( SV279 @ SV334 )
= $true )
| ( ( r1 @ SV261 @ SV311 )
= $false )
| ( ( r1 @ SV261 @ ( sK92_SY512 @ SV279 @ SV261 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1573,plain,
! [SV262: $i,SV280: $i > $o,SV335: $i,SV312: $i] :
( ( ( r3 @ SV312 @ SV335 )
= $false )
| ( ( SV280 @ SV335 )
= $true )
| ( ( r1 @ SV262 @ SV312 )
= $false )
| ( ( r3 @ SV262 @ ( sK93_SY515 @ SV280 @ SV262 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1574,plain,
! [SV282: $i > $o,SV264: $i,SV293: $i,SV321: $i] :
( ( ( ~ ( r3 @ SV321 @ ( sK111_SY570 @ SV293 @ SV264 @ SV282 @ SV321 ) )
| ( SV282 @ ( sK111_SY570 @ SV293 @ SV264 @ SV282 @ SV321 ) ) )
= $false )
| ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1557]) ).
thf(1575,plain,
! [SV265: $i,SV283: $i > $o,SV336: $i,SV314: $i] :
( ( ( r3 @ SV314 @ SV336 )
= $false )
| ( ( SV283 @ SV336 )
= $true )
| ( ( r2 @ SV265 @ SV314 )
= $false )
| ( ( r3 @ SV265 @ ( sK95_SY523 @ SV283 @ SV265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1576,plain,
! [SV266: $i,SV284: $i > $o,SV337: $i,SV315: $i] :
( ( ( r2 @ SV315 @ SV337 )
= $false )
| ( ( SV284 @ SV337 )
= $true )
| ( ( r1 @ SV266 @ SV315 )
= $false )
| ( ( r2 @ SV266 @ ( sK96_SY526 @ SV284 @ SV266 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1577,plain,
! [SV268: $i,SV286: $i > $o,SV338: $i,SV317: $i] :
( ( ( r3 @ SV317 @ SV338 )
= $false )
| ( ( SV286 @ SV338 )
= $true )
| ( ( r3 @ SV268 @ SV317 )
= $false )
| ( ( r3 @ SV268 @ ( sK98_SY531 @ SV286 @ SV268 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1578,plain,
! [SV269: $i,SV287: $i > $o,SV339: $i,SV318: $i] :
( ( ( r2 @ SV318 @ SV339 )
= $false )
| ( ( SV287 @ SV339 )
= $true )
| ( ( r2 @ SV269 @ SV318 )
= $false )
| ( ( r2 @ SV269 @ ( sK99_SY534 @ SV287 @ SV269 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1579,plain,
! [SV290: $i > $o,SV272: $i,SV294: $i,SV322: $i] :
( ( ( ~ ( r1 @ SV322 @ ( sK112_SY571 @ SV294 @ SV272 @ SV290 @ SV322 ) )
| ( SV290 @ ( sK112_SY571 @ SV294 @ SV272 @ SV290 @ SV322 ) ) )
= $false )
| ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1566]) ).
thf(1580,plain,
! [SV273: $i,SV291: $i > $o,SV340: $i,SV319: $i] :
( ( ( r1 @ SV319 @ SV340 )
= $false )
| ( ( SV291 @ SV340 )
= $true )
| ( ( r3 @ SV273 @ SV319 )
= $false )
| ( ( r1 @ SV273 @ ( sK102_SY544 @ SV291 @ SV273 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1581,plain,
! [SV277: $i > $o,SV259: $i,SV292: $i,SV320: $i] :
( ( ( ~ ( r2 @ SV320 @ ( sK110_SY569 @ SV292 @ SV259 @ SV277 @ SV320 ) ) )
= $false )
| ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1582,plain,
! [SV320: $i,SV259: $i,SV292: $i,SV277: $i > $o] :
( ( ( SV277 @ ( sK110_SY569 @ SV292 @ SV259 @ SV277 @ SV320 ) )
= $false )
| ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1583,plain,
! [SV282: $i > $o,SV264: $i,SV293: $i,SV321: $i] :
( ( ( ~ ( r3 @ SV321 @ ( sK111_SY570 @ SV293 @ SV264 @ SV282 @ SV321 ) ) )
= $false )
| ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1584,plain,
! [SV321: $i,SV264: $i,SV293: $i,SV282: $i > $o] :
( ( ( SV282 @ ( sK111_SY570 @ SV293 @ SV264 @ SV282 @ SV321 ) )
= $false )
| ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1574]) ).
thf(1585,plain,
! [SV290: $i > $o,SV272: $i,SV294: $i,SV322: $i] :
( ( ( ~ ( r1 @ SV322 @ ( sK112_SY571 @ SV294 @ SV272 @ SV290 @ SV322 ) ) )
= $false )
| ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1586,plain,
! [SV322: $i,SV272: $i,SV294: $i,SV290: $i > $o] :
( ( ( SV290 @ ( sK112_SY571 @ SV294 @ SV272 @ SV290 @ SV322 ) )
= $false )
| ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1587,plain,
! [SV277: $i > $o,SV259: $i,SV292: $i,SV320: $i] :
( ( ( r2 @ SV320 @ ( sK110_SY569 @ SV292 @ SV259 @ SV277 @ SV320 ) )
= $true )
| ( ( r2 @ SV259 @ SV320 )
= $false )
| ( ( SV277 @ SV292 )
= $true )
| ( ( r2 @ SV259 @ SV292 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1588,plain,
! [SV282: $i > $o,SV264: $i,SV293: $i,SV321: $i] :
( ( ( r3 @ SV321 @ ( sK111_SY570 @ SV293 @ SV264 @ SV282 @ SV321 ) )
= $true )
| ( ( r3 @ SV264 @ SV321 )
= $false )
| ( ( SV282 @ SV293 )
= $true )
| ( ( r3 @ SV264 @ SV293 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1589,plain,
! [SV290: $i > $o,SV272: $i,SV294: $i,SV322: $i] :
( ( ( r1 @ SV322 @ ( sK112_SY571 @ SV294 @ SV272 @ SV290 @ SV322 ) )
= $true )
| ( ( r1 @ SV272 @ SV322 )
= $false )
| ( ( SV290 @ SV294 )
= $true )
| ( ( r1 @ SV272 @ SV294 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1590,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1377,1589,1588,1587,1586,1584,1582,1580,1578,1577,1576,1575,1573,1572,1570,1569,1568,1565,1563,1561,1559,1556,1554,1551,1549,1544,1543,1542,1541,1526,1525,1517,1516,1513,1512,1505,1499,1494,1492,1491,1486,1470,1463,1457,1448,1413]) ).
thf(1591,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(1592,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(1593,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(1594,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(1595,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(1596,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(1597,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(1598,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(1599,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(1600,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(1601,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(1602,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(1603,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(1604,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(1605,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(1606,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(1607,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(1608,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(1609,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(1610,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1603,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1611,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1592,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1612,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1600,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1613,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1605,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1614,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1594,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1615,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1599,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1616,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1606,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1617,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1604,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1618,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1595,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1619,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1598,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1620,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1596,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1621,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1607,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1622,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1601,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1623,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1608,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1624,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1597,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1625,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1602,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1626,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1591,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1627,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1593,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1628,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1609,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1629,plain,
! [SV341: $i] :
( ( ! [SY572: $i > $o] :
( ~ ! [SY573: $i] :
( ~ ( r3 @ SV341 @ SY573 )
| ( SY572 @ SY573 ) )
| ! [SY574: $i] :
( ~ ( r1 @ SV341 @ SY574 )
| ! [SX3: $i] :
( ~ ( r3 @ SY574 @ SX3 )
| ( SY572 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1630,plain,
! [SV342: $i] :
( ( ! [SY576: $i > $o] :
( ~ ! [SY577: $i] :
( ~ ( r2 @ SV342 @ SY577 )
| ( SY576 @ SY577 ) )
| ~ ! [SY578: $i] :
( ~ ( r2 @ SV342 @ SY578 )
| ~ ( SY576 @ SY578 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(1631,plain,
! [SV343: $i] :
( ( ! [SY579: $i > $o] :
( ~ ! [SY580: $i] :
( ~ ( r2 @ SV343 @ SY580 )
| ( SY579 @ SY580 ) )
| ! [SY581: $i] :
( ~ ( r1 @ SV343 @ SY581 )
| ! [SX3: $i] :
( ~ ( r2 @ SY581 @ SX3 )
| ( SY579 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(1632,plain,
! [SV344: $i] :
( ( ! [SY583: $i > $o] :
( ~ ! [SY584: $i] :
( ~ ( r3 @ SV344 @ SY584 )
| ( SY583 @ SY584 ) )
| ! [SY585: $i] :
( ~ ( r3 @ SV344 @ SY585 )
| ! [SX3: $i] :
( ~ ( r3 @ SY585 @ SX3 )
| ( SY583 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(1633,plain,
! [SV345: $i] :
( ( ! [SY587: $i > $o] :
( ~ ! [SY588: $i] :
( ~ ( r2 @ SV345 @ SY588 )
| ( SY587 @ SY588 ) )
| ! [SY589: $i] :
( ~ ( r1 @ SV345 @ SY589 )
| ( SY587 @ SY589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1634,plain,
! [SV346: $i] :
( ( ! [SY590: $i > $o] :
( ~ ! [SY591: $i] :
( ~ ( r1 @ SV346 @ SY591 )
| ( SY590 @ SY591 ) )
| ! [SY592: $i] :
( ~ ( r3 @ SV346 @ SY592 )
| ! [SX3: $i] :
( ~ ( r1 @ SY592 @ SX3 )
| ( SY590 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(1635,plain,
! [SV347: $i] :
( ( ! [SY594: $i > $o] :
( ~ ~ ! [SY595: $i] :
( ~ ( r1 @ SV347 @ SY595 )
| ( SY594 @ SY595 ) )
| ! [SY596: $i] :
( ~ ( r1 @ SV347 @ SY596 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY596 @ SX3 )
| ( SY594 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(1636,plain,
! [SV348: $i] :
( ( ! [SY598: $i > $o] :
( ~ ! [SY599: $i] :
( ~ ( r3 @ SV348 @ SY599 )
| ( SY598 @ SY599 ) )
| ! [SY600: $i] :
( ~ ( r2 @ SV348 @ SY600 )
| ! [SX3: $i] :
( ~ ( r3 @ SY600 @ SX3 )
| ( SY598 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(1637,plain,
! [SV349: $i] :
( ( ! [SY602: $i > $o] :
( ~ ! [SY603: $i] :
( ~ ( r3 @ SV349 @ SY603 )
| ( SY602 @ SY603 ) )
| ! [SY604: $i] :
( ~ ( r1 @ SV349 @ SY604 )
| ( SY602 @ SY604 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(1638,plain,
! [SV350: $i] :
( ( ! [SY605: $i > $o] :
( ~ ! [SY606: $i] :
( ~ ( r1 @ SV350 @ SY606 )
| ( SY605 @ SY606 ) )
| ! [SY607: $i] :
( ~ ( r2 @ SV350 @ SY607 )
| ! [SX3: $i] :
( ~ ( r1 @ SY607 @ SX3 )
| ( SY605 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(1639,plain,
! [SV351: $i] :
( ( ! [SY609: $i > $o] :
( ~ ! [SY610: $i] :
( ~ ( r3 @ SV351 @ SY610 )
| ( SY609 @ SY610 ) )
| ! [SY611: $i] :
( ~ ( r2 @ SV351 @ SY611 )
| ( SY609 @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(1640,plain,
! [SV352: $i] :
( ( ! [SY612: $i > $o] :
( ~ ~ ! [SY613: $i] :
( ~ ( r2 @ SV352 @ SY613 )
| ( SY612 @ SY613 ) )
| ! [SY614: $i] :
( ~ ( r2 @ SV352 @ SY614 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY614 @ SX3 )
| ( SY612 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(1641,plain,
! [SV353: $i] :
( ( ! [SY616: $i > $o] :
( ~ ! [SY617: $i] :
( ~ ( r2 @ SV353 @ SY617 )
| ( SY616 @ SY617 ) )
| ! [SY618: $i] :
( ~ ( r2 @ SV353 @ SY618 )
| ! [SX3: $i] :
( ~ ( r2 @ SY618 @ SX3 )
| ( SY616 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(1642,plain,
! [SV354: $i] :
( ( ! [SY620: $i > $o] :
( ~ ~ ! [SY621: $i] :
( ~ ( r3 @ SV354 @ SY621 )
| ( SY620 @ SY621 ) )
| ! [SY622: $i] :
( ~ ( r3 @ SV354 @ SY622 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY622 @ SX3 )
| ( SY620 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1643,plain,
! [SV355: $i] :
( ( ! [SY624: $i > $o] :
( ~ ! [SY625: $i] :
( ~ ( r1 @ SV355 @ SY625 )
| ( SY624 @ SY625 ) )
| ! [SY626: $i] :
( ~ ( r1 @ SV355 @ SY626 )
| ! [SX3: $i] :
( ~ ( r1 @ SY626 @ SX3 )
| ( SY624 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1644,plain,
! [SV356: $i] :
( ( ! [SY628: $i > $o] :
( ~ ! [SY629: $i] :
( ~ ( r2 @ SV356 @ SY629 )
| ( SY628 @ SY629 ) )
| ! [SY630: $i] :
( ~ ( r3 @ SV356 @ SY630 )
| ! [SX3: $i] :
( ~ ( r2 @ SY630 @ SX3 )
| ( SY628 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(1645,plain,
! [SV357: $i] :
( ( ! [SY632: $i > $o] :
( ~ ! [SY633: $i] :
( ~ ( r1 @ SV357 @ SY633 )
| ( SY632 @ SY633 ) )
| ~ ! [SY634: $i] :
( ~ ( r1 @ SV357 @ SY634 )
| ~ ( SY632 @ SY634 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1646,plain,
! [SV358: $i] :
( ( ! [SY635: $i > $o] :
( ~ ! [SY636: $i] :
( ~ ( r3 @ SV358 @ SY636 )
| ( SY635 @ SY636 ) )
| ~ ! [SY637: $i] :
( ~ ( r3 @ SV358 @ SY637 )
| ~ ( SY635 @ SY637 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1647,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1648,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ~ ! [SY638: $i] :
( ~ ( r3 @ SV341 @ SY638 )
| ( SV359 @ SY638 ) )
| ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(1649,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ~ ! [SY641: $i] :
( ~ ( r2 @ SV342 @ SY641 )
| ( SV360 @ SY641 ) )
| ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(1650,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ~ ! [SY643: $i] :
( ~ ( r2 @ SV343 @ SY643 )
| ( SV361 @ SY643 ) )
| ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1651,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ~ ! [SY646: $i] :
( ~ ( r3 @ SV344 @ SY646 )
| ( SV362 @ SY646 ) )
| ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1652,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ~ ! [SY649: $i] :
( ~ ( r2 @ SV345 @ SY649 )
| ( SV363 @ SY649 ) )
| ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(1653,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ~ ! [SY651: $i] :
( ~ ( r1 @ SV346 @ SY651 )
| ( SV364 @ SY651 ) )
| ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1654,plain,
! [SV365: $i > $o,SV347: $i] :
( ( ~ ~ ! [SY654: $i] :
( ~ ( r1 @ SV347 @ SY654 )
| ( SV365 @ SY654 ) )
| ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(1655,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ~ ! [SY657: $i] :
( ~ ( r3 @ SV348 @ SY657 )
| ( SV366 @ SY657 ) )
| ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(1656,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ~ ! [SY660: $i] :
( ~ ( r3 @ SV349 @ SY660 )
| ( SV367 @ SY660 ) )
| ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(1657,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ~ ! [SY662: $i] :
( ~ ( r1 @ SV350 @ SY662 )
| ( SV368 @ SY662 ) )
| ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1658,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ~ ! [SY665: $i] :
( ~ ( r3 @ SV351 @ SY665 )
| ( SV369 @ SY665 ) )
| ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1639]) ).
thf(1659,plain,
! [SV370: $i > $o,SV352: $i] :
( ( ~ ~ ! [SY667: $i] :
( ~ ( r2 @ SV352 @ SY667 )
| ( SV370 @ SY667 ) )
| ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(1660,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ~ ! [SY670: $i] :
( ~ ( r2 @ SV353 @ SY670 )
| ( SV371 @ SY670 ) )
| ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(1661,plain,
! [SV372: $i > $o,SV354: $i] :
( ( ~ ~ ! [SY673: $i] :
( ~ ( r3 @ SV354 @ SY673 )
| ( SV372 @ SY673 ) )
| ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(1662,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ~ ! [SY676: $i] :
( ~ ( r1 @ SV355 @ SY676 )
| ( SV373 @ SY676 ) )
| ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(1663,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ~ ! [SY679: $i] :
( ~ ( r2 @ SV356 @ SY679 )
| ( SV374 @ SY679 ) )
| ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1664,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ~ ! [SY682: $i] :
( ~ ( r1 @ SV357 @ SY682 )
| ( SV375 @ SY682 ) )
| ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(1665,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ~ ! [SY684: $i] :
( ~ ( r3 @ SV358 @ SY684 )
| ( SV376 @ SY684 ) )
| ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(1666,plain,
( ( ! [SY686: $i > $o] :
( ~ ~ ! [SY687: $i] :
( ~ ( r2 @ sK113_SX0 @ SY687 )
| ( SY686 @ SY687 ) )
| ! [SY688: $i] :
( ~ ( r2 @ sK113_SX0 @ SY688 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY688 @ SX3 )
| ( SY686 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1647]) ).
thf(1667,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ( ~ ! [SY638: $i] :
( ~ ( r3 @ SV341 @ SY638 )
| ( SV359 @ SY638 ) ) )
= $true )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1648]) ).
thf(1668,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ! [SY641: $i] :
( ~ ( r2 @ SV342 @ SY641 )
| ( SV360 @ SY641 ) ) )
= $true )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1649]) ).
thf(1669,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ( ~ ! [SY643: $i] :
( ~ ( r2 @ SV343 @ SY643 )
| ( SV361 @ SY643 ) ) )
= $true )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1650]) ).
thf(1670,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ( ~ ! [SY646: $i] :
( ~ ( r3 @ SV344 @ SY646 )
| ( SV362 @ SY646 ) ) )
= $true )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1671,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ( ~ ! [SY649: $i] :
( ~ ( r2 @ SV345 @ SY649 )
| ( SV363 @ SY649 ) ) )
= $true )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1672,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ( ~ ! [SY651: $i] :
( ~ ( r1 @ SV346 @ SY651 )
| ( SV364 @ SY651 ) ) )
= $true )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1653]) ).
thf(1673,plain,
! [SV365: $i > $o,SV347: $i] :
( ( ( ~ ~ ! [SY654: $i] :
( ~ ( r1 @ SV347 @ SY654 )
| ( SV365 @ SY654 ) ) )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1654]) ).
thf(1674,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ( ~ ! [SY657: $i] :
( ~ ( r3 @ SV348 @ SY657 )
| ( SV366 @ SY657 ) ) )
= $true )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1655]) ).
thf(1675,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ( ~ ! [SY660: $i] :
( ~ ( r3 @ SV349 @ SY660 )
| ( SV367 @ SY660 ) ) )
= $true )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1656]) ).
thf(1676,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ( ~ ! [SY662: $i] :
( ~ ( r1 @ SV350 @ SY662 )
| ( SV368 @ SY662 ) ) )
= $true )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1657]) ).
thf(1677,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ( ~ ! [SY665: $i] :
( ~ ( r3 @ SV351 @ SY665 )
| ( SV369 @ SY665 ) ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1678,plain,
! [SV370: $i > $o,SV352: $i] :
( ( ( ~ ~ ! [SY667: $i] :
( ~ ( r2 @ SV352 @ SY667 )
| ( SV370 @ SY667 ) ) )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1679,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ( ~ ! [SY670: $i] :
( ~ ( r2 @ SV353 @ SY670 )
| ( SV371 @ SY670 ) ) )
= $true )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1680,plain,
! [SV372: $i > $o,SV354: $i] :
( ( ( ~ ~ ! [SY673: $i] :
( ~ ( r3 @ SV354 @ SY673 )
| ( SV372 @ SY673 ) ) )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1681,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ( ~ ! [SY676: $i] :
( ~ ( r1 @ SV355 @ SY676 )
| ( SV373 @ SY676 ) ) )
= $true )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1682,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ( ~ ! [SY679: $i] :
( ~ ( r2 @ SV356 @ SY679 )
| ( SV374 @ SY679 ) ) )
= $true )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(1683,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ! [SY682: $i] :
( ~ ( r1 @ SV357 @ SY682 )
| ( SV375 @ SY682 ) ) )
= $true )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1664]) ).
thf(1684,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ! [SY684: $i] :
( ~ ( r3 @ SV358 @ SY684 )
| ( SV376 @ SY684 ) ) )
= $true )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1665]) ).
thf(1685,plain,
( ( ~ ~ ! [SY690: $i] :
( ~ ( r2 @ sK113_SX0 @ SY690 )
| ( sK114_SY686 @ SY690 ) )
| ! [SY691: $i] :
( ~ ( r2 @ sK113_SX0 @ SY691 )
| ~ ! [SY692: $i] :
( ~ ( r2 @ SY691 @ SY692 )
| ( sK114_SY686 @ SY692 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1666]) ).
thf(1686,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ( ! [SY638: $i] :
( ~ ( r3 @ SV341 @ SY638 )
| ( SV359 @ SY638 ) ) )
= $false )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1667]) ).
thf(1687,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ! [SY641: $i] :
( ~ ( r2 @ SV342 @ SY641 )
| ( SV360 @ SY641 ) ) )
= $false )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1688,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ( ! [SY643: $i] :
( ~ ( r2 @ SV343 @ SY643 )
| ( SV361 @ SY643 ) ) )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1669]) ).
thf(1689,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ( ! [SY646: $i] :
( ~ ( r3 @ SV344 @ SY646 )
| ( SV362 @ SY646 ) ) )
= $false )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1670]) ).
thf(1690,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ( ! [SY649: $i] :
( ~ ( r2 @ SV345 @ SY649 )
| ( SV363 @ SY649 ) ) )
= $false )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1691,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ( ! [SY651: $i] :
( ~ ( r1 @ SV346 @ SY651 )
| ( SV364 @ SY651 ) ) )
= $false )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1672]) ).
thf(1692,plain,
! [SV365: $i > $o,SV347: $i] :
( ( ( ~ ! [SY654: $i] :
( ~ ( r1 @ SV347 @ SY654 )
| ( SV365 @ SY654 ) ) )
= $false )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1673]) ).
thf(1693,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ( ! [SY657: $i] :
( ~ ( r3 @ SV348 @ SY657 )
| ( SV366 @ SY657 ) ) )
= $false )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1694,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ( ! [SY660: $i] :
( ~ ( r3 @ SV349 @ SY660 )
| ( SV367 @ SY660 ) ) )
= $false )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1695,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ( ! [SY662: $i] :
( ~ ( r1 @ SV350 @ SY662 )
| ( SV368 @ SY662 ) ) )
= $false )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(1696,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ( ! [SY665: $i] :
( ~ ( r3 @ SV351 @ SY665 )
| ( SV369 @ SY665 ) ) )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1697,plain,
! [SV370: $i > $o,SV352: $i] :
( ( ( ~ ! [SY667: $i] :
( ~ ( r2 @ SV352 @ SY667 )
| ( SV370 @ SY667 ) ) )
= $false )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1698,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ( ! [SY670: $i] :
( ~ ( r2 @ SV353 @ SY670 )
| ( SV371 @ SY670 ) ) )
= $false )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1679]) ).
thf(1699,plain,
! [SV372: $i > $o,SV354: $i] :
( ( ( ~ ! [SY673: $i] :
( ~ ( r3 @ SV354 @ SY673 )
| ( SV372 @ SY673 ) ) )
= $false )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1700,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ( ! [SY676: $i] :
( ~ ( r1 @ SV355 @ SY676 )
| ( SV373 @ SY676 ) ) )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1701,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ( ! [SY679: $i] :
( ~ ( r2 @ SV356 @ SY679 )
| ( SV374 @ SY679 ) ) )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1702,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ! [SY682: $i] :
( ~ ( r1 @ SV357 @ SY682 )
| ( SV375 @ SY682 ) ) )
= $false )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1683]) ).
thf(1703,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ! [SY684: $i] :
( ~ ( r3 @ SV358 @ SY684 )
| ( SV376 @ SY684 ) ) )
= $false )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1684]) ).
thf(1704,plain,
( ( ~ ~ ! [SY690: $i] :
( ~ ( r2 @ sK113_SX0 @ SY690 )
| ( sK114_SY686 @ SY690 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1705,plain,
( ( ! [SY691: $i] :
( ~ ( r2 @ sK113_SX0 @ SY691 )
| ~ ! [SY692: $i] :
( ~ ( r2 @ SY691 @ SY692 )
| ( sK114_SY686 @ SY692 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1706,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ( ~ ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
| ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) ) )
= $false )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1686]) ).
thf(1707,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
| ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) ) )
= $false )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1687]) ).
thf(1708,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ( ~ ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
| ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) ) )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1688]) ).
thf(1709,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
| ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) ) )
= $false )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1689]) ).
thf(1710,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ( ~ ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) )
| ( SV363 @ ( sK119_SY649 @ SV363 @ SV345 ) ) )
= $false )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1690]) ).
thf(1711,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ( ~ ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
| ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) ) )
= $false )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1691]) ).
thf(1712,plain,
! [SV365: $i > $o,SV347: $i] :
( ( ( ! [SY654: $i] :
( ~ ( r1 @ SV347 @ SY654 )
| ( SV365 @ SY654 ) ) )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1713,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ( ~ ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
| ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) ) )
= $false )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1693]) ).
thf(1714,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ( ~ ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) )
| ( SV367 @ ( sK122_SY660 @ SV367 @ SV349 ) ) )
= $false )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1694]) ).
thf(1715,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ( ~ ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
| ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) ) )
= $false )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1695]) ).
thf(1716,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ( ~ ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) )
| ( SV369 @ ( sK124_SY665 @ SV369 @ SV351 ) ) )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1696]) ).
thf(1717,plain,
! [SV370: $i > $o,SV352: $i] :
( ( ( ! [SY667: $i] :
( ~ ( r2 @ SV352 @ SY667 )
| ( SV370 @ SY667 ) ) )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1718,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
| ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) ) )
= $false )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1698]) ).
thf(1719,plain,
! [SV372: $i > $o,SV354: $i] :
( ( ( ! [SY673: $i] :
( ~ ( r3 @ SV354 @ SY673 )
| ( SV372 @ SY673 ) ) )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1720,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
| ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) ) )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1700]) ).
thf(1721,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ( ~ ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
| ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) ) )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1701]) ).
thf(1722,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
| ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) ) )
= $false )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1702]) ).
thf(1723,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
| ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) ) )
= $false )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1703]) ).
thf(1724,plain,
( ( ~ ! [SY690: $i] :
( ~ ( r2 @ sK113_SX0 @ SY690 )
| ( sK114_SY686 @ SY690 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1704]) ).
thf(1725,plain,
( ( ~ ( r2 @ sK113_SX0 @ sK130_SY691 )
| ~ ! [SY693: $i] :
( ~ ( r2 @ sK130_SY691 @ SY693 )
| ( sK114_SY686 @ SY693 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1705]) ).
thf(1726,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ( ~ ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) ) )
= $false )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1727,plain,
! [SV341: $i,SV359: $i > $o] :
( ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1706]) ).
thf(1728,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) ) )
= $false )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1729,plain,
! [SV342: $i,SV360: $i > $o] :
( ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1707]) ).
thf(1730,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ( ~ ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) ) )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1731,plain,
! [SV343: $i,SV361: $i > $o] :
( ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1708]) ).
thf(1732,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) ) )
= $false )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1733,plain,
! [SV344: $i,SV362: $i > $o] :
( ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1709]) ).
thf(1734,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ( ~ ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) ) )
= $false )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1735,plain,
! [SV345: $i,SV363: $i > $o] :
( ( ( SV363 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $false )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1710]) ).
thf(1736,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ( ~ ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) ) )
= $false )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1737,plain,
! [SV346: $i,SV364: $i > $o] :
( ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1711]) ).
thf(1738,plain,
! [SV365: $i > $o,SV377: $i,SV347: $i] :
( ( ( ~ ( r1 @ SV347 @ SV377 )
| ( SV365 @ SV377 ) )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(1739,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ( ~ ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) ) )
= $false )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1740,plain,
! [SV348: $i,SV366: $i > $o] :
( ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1741,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ( ~ ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) ) )
= $false )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1742,plain,
! [SV349: $i,SV367: $i > $o] :
( ( ( SV367 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $false )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1714]) ).
thf(1743,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ( ~ ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) ) )
= $false )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1744,plain,
! [SV350: $i,SV368: $i > $o] :
( ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1715]) ).
thf(1745,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ( ~ ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) ) )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1746,plain,
! [SV351: $i,SV369: $i > $o] :
( ( ( SV369 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $false )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1747,plain,
! [SV370: $i > $o,SV378: $i,SV352: $i] :
( ( ( ~ ( r2 @ SV352 @ SV378 )
| ( SV370 @ SV378 ) )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(1748,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) ) )
= $false )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1749,plain,
! [SV353: $i,SV371: $i > $o] :
( ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1718]) ).
thf(1750,plain,
! [SV372: $i > $o,SV379: $i,SV354: $i] :
( ( ( ~ ( r3 @ SV354 @ SV379 )
| ( SV372 @ SV379 ) )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(1751,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) ) )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1720]) ).
thf(1752,plain,
! [SV355: $i,SV373: $i > $o] :
( ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1720]) ).
thf(1753,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ( ~ ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) ) )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1754,plain,
! [SV356: $i,SV374: $i > $o] :
( ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1721]) ).
thf(1755,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) ) )
= $false )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1756,plain,
! [SV357: $i,SV375: $i > $o] :
( ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1722]) ).
thf(1757,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) ) )
= $false )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1758,plain,
! [SV358: $i,SV376: $i > $o] :
( ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1723]) ).
thf(1759,plain,
( ( ! [SY690: $i] :
( ~ ( r2 @ sK113_SX0 @ SY690 )
| ( sK114_SY686 @ SY690 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1760,plain,
( ( ~ ( r2 @ sK113_SX0 @ sK130_SY691 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1761,plain,
( ( ~ ! [SY693: $i] :
( ~ ( r2 @ sK130_SY691 @ SY693 )
| ( sK114_SY686 @ SY693 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1762,plain,
! [SV359: $i > $o,SV341: $i] :
( ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true )
| ( ( ! [SY639: $i] :
( ~ ( r1 @ SV341 @ SY639 )
| ! [SY640: $i] :
( ~ ( r3 @ SY639 @ SY640 )
| ( SV359 @ SY640 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1763,plain,
! [SV359: $i > $o,SV380: $i,SV341: $i] :
( ( ( ~ ( r1 @ SV341 @ SV380 )
| ! [SY694: $i] :
( ~ ( r3 @ SV380 @ SY694 )
| ( SV359 @ SY694 ) ) )
= $true )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(1764,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true )
| ( ( ~ ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1765,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $false )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1766,plain,
! [SV361: $i > $o,SV343: $i] :
( ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true )
| ( ( ! [SY644: $i] :
( ~ ( r1 @ SV343 @ SY644 )
| ! [SY645: $i] :
( ~ ( r2 @ SY644 @ SY645 )
| ( SV361 @ SY645 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1767,plain,
! [SV361: $i > $o,SV381: $i,SV343: $i] :
( ( ( ~ ( r1 @ SV343 @ SV381 )
| ! [SY695: $i] :
( ~ ( r2 @ SV381 @ SY695 )
| ( SV361 @ SY695 ) ) )
= $true )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(1768,plain,
! [SV362: $i > $o,SV344: $i] :
( ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true )
| ( ( ! [SY647: $i] :
( ~ ( r3 @ SV344 @ SY647 )
| ! [SY648: $i] :
( ~ ( r3 @ SY647 @ SY648 )
| ( SV362 @ SY648 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1769,plain,
! [SV362: $i > $o,SV382: $i,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ SV382 )
| ! [SY696: $i] :
( ~ ( r3 @ SV382 @ SY696 )
| ( SV362 @ SY696 ) ) )
= $true )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(1770,plain,
! [SV363: $i > $o,SV345: $i] :
( ( ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $true )
| ( ( ! [SY650: $i] :
( ~ ( r1 @ SV345 @ SY650 )
| ( SV363 @ SY650 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1771,plain,
! [SV363: $i > $o,SV383: $i,SV345: $i] :
( ( ( ~ ( r1 @ SV345 @ SV383 )
| ( SV363 @ SV383 ) )
= $true )
| ( ( SV363 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(1772,plain,
! [SV364: $i > $o,SV346: $i] :
( ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true )
| ( ( ! [SY652: $i] :
( ~ ( r3 @ SV346 @ SY652 )
| ! [SY653: $i] :
( ~ ( r1 @ SY652 @ SY653 )
| ( SV364 @ SY653 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1773,plain,
! [SV364: $i > $o,SV384: $i,SV346: $i] :
( ( ( ~ ( r3 @ SV346 @ SV384 )
| ! [SY697: $i] :
( ~ ( r1 @ SV384 @ SY697 )
| ( SV364 @ SY697 ) ) )
= $true )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(1774,plain,
! [SV365: $i > $o,SV377: $i,SV347: $i] :
( ( ( ~ ( r1 @ SV347 @ SV377 ) )
= $true )
| ( ( SV365 @ SV377 )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1738]) ).
thf(1775,plain,
! [SV366: $i > $o,SV348: $i] :
( ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true )
| ( ( ! [SY658: $i] :
( ~ ( r2 @ SV348 @ SY658 )
| ! [SY659: $i] :
( ~ ( r3 @ SY658 @ SY659 )
| ( SV366 @ SY659 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1776,plain,
! [SV366: $i > $o,SV385: $i,SV348: $i] :
( ( ( ~ ( r2 @ SV348 @ SV385 )
| ! [SY698: $i] :
( ~ ( r3 @ SV385 @ SY698 )
| ( SV366 @ SY698 ) ) )
= $true )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(1777,plain,
! [SV367: $i > $o,SV349: $i] :
( ( ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $true )
| ( ( ! [SY661: $i] :
( ~ ( r1 @ SV349 @ SY661 )
| ( SV367 @ SY661 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1778,plain,
! [SV367: $i > $o,SV386: $i,SV349: $i] :
( ( ( ~ ( r1 @ SV349 @ SV386 )
| ( SV367 @ SV386 ) )
= $true )
| ( ( SV367 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(1779,plain,
! [SV368: $i > $o,SV350: $i] :
( ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true )
| ( ( ! [SY663: $i] :
( ~ ( r2 @ SV350 @ SY663 )
| ! [SY664: $i] :
( ~ ( r1 @ SY663 @ SY664 )
| ( SV368 @ SY664 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1780,plain,
! [SV368: $i > $o,SV387: $i,SV350: $i] :
( ( ( ~ ( r2 @ SV350 @ SV387 )
| ! [SY699: $i] :
( ~ ( r1 @ SV387 @ SY699 )
| ( SV368 @ SY699 ) ) )
= $true )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1781,plain,
! [SV369: $i > $o,SV351: $i] :
( ( ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $true )
| ( ( ! [SY666: $i] :
( ~ ( r2 @ SV351 @ SY666 )
| ( SV369 @ SY666 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1782,plain,
! [SV369: $i > $o,SV388: $i,SV351: $i] :
( ( ( ~ ( r2 @ SV351 @ SV388 )
| ( SV369 @ SV388 ) )
= $true )
| ( ( SV369 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(1783,plain,
! [SV370: $i > $o,SV378: $i,SV352: $i] :
( ( ( ~ ( r2 @ SV352 @ SV378 ) )
= $true )
| ( ( SV370 @ SV378 )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1747]) ).
thf(1784,plain,
! [SV371: $i > $o,SV353: $i] :
( ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true )
| ( ( ! [SY671: $i] :
( ~ ( r2 @ SV353 @ SY671 )
| ! [SY672: $i] :
( ~ ( r2 @ SY671 @ SY672 )
| ( SV371 @ SY672 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1785,plain,
! [SV371: $i > $o,SV389: $i,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ SV389 )
| ! [SY700: $i] :
( ~ ( r2 @ SV389 @ SY700 )
| ( SV371 @ SY700 ) ) )
= $true )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(1786,plain,
! [SV372: $i > $o,SV379: $i,SV354: $i] :
( ( ( ~ ( r3 @ SV354 @ SV379 ) )
= $true )
| ( ( SV372 @ SV379 )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1750]) ).
thf(1787,plain,
! [SV373: $i > $o,SV355: $i] :
( ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true )
| ( ( ! [SY677: $i] :
( ~ ( r1 @ SV355 @ SY677 )
| ! [SY678: $i] :
( ~ ( r1 @ SY677 @ SY678 )
| ( SV373 @ SY678 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1788,plain,
! [SV373: $i > $o,SV390: $i,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ SV390 )
| ! [SY701: $i] :
( ~ ( r1 @ SV390 @ SY701 )
| ( SV373 @ SY701 ) ) )
= $true )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(1789,plain,
! [SV374: $i > $o,SV356: $i] :
( ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true )
| ( ( ! [SY680: $i] :
( ~ ( r3 @ SV356 @ SY680 )
| ! [SY681: $i] :
( ~ ( r2 @ SY680 @ SY681 )
| ( SV374 @ SY681 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1790,plain,
! [SV374: $i > $o,SV391: $i,SV356: $i] :
( ( ( ~ ( r3 @ SV356 @ SV391 )
| ! [SY702: $i] :
( ~ ( r2 @ SV391 @ SY702 )
| ( SV374 @ SY702 ) ) )
= $true )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(1791,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true )
| ( ( ~ ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1792,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $false )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1793,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true )
| ( ( ~ ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1794,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $false )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1758]) ).
thf(1795,plain,
( ( ~ ( r2 @ sK113_SX0 @ sK131_SY690 )
| ( sK114_SY686 @ sK131_SY690 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1759]) ).
thf(1796,plain,
( ( r2 @ sK113_SX0 @ sK130_SY691 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1797,plain,
( ( ! [SY693: $i] :
( ~ ( r2 @ sK130_SY691 @ SY693 )
| ( sK114_SY686 @ SY693 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1798,plain,
! [SV359: $i > $o,SV392: $i,SV341: $i] :
( ( ( ~ ( r1 @ SV341 @ SV392 )
| ! [SY703: $i] :
( ~ ( r3 @ SV392 @ SY703 )
| ( SV359 @ SY703 ) ) )
= $true )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(1799,plain,
! [SV359: $i > $o,SV380: $i,SV341: $i] :
( ( ( ~ ( r1 @ SV341 @ SV380 ) )
= $true )
| ( ( ! [SY694: $i] :
( ~ ( r3 @ SV380 @ SY694 )
| ( SV359 @ SY694 ) ) )
= $true )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1800,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ! [SY642: $i] :
( ~ ( r2 @ SV342 @ SY642 )
| ~ ( SV360 @ SY642 ) ) )
= $false )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1764]) ).
thf(1801,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK132_SY642 @ SV360 @ SV342 ) )
| ~ ( SV360 @ ( sK132_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1765]) ).
thf(1802,plain,
! [SV361: $i > $o,SV393: $i,SV343: $i] :
( ( ( ~ ( r1 @ SV343 @ SV393 )
| ! [SY704: $i] :
( ~ ( r2 @ SV393 @ SY704 )
| ( SV361 @ SY704 ) ) )
= $true )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1766]) ).
thf(1803,plain,
! [SV361: $i > $o,SV381: $i,SV343: $i] :
( ( ( ~ ( r1 @ SV343 @ SV381 ) )
= $true )
| ( ( ! [SY695: $i] :
( ~ ( r2 @ SV381 @ SY695 )
| ( SV361 @ SY695 ) ) )
= $true )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1767]) ).
thf(1804,plain,
! [SV362: $i > $o,SV394: $i,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ SV394 )
| ! [SY705: $i] :
( ~ ( r3 @ SV394 @ SY705 )
| ( SV362 @ SY705 ) ) )
= $true )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(1805,plain,
! [SV362: $i > $o,SV382: $i,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ SV382 ) )
= $true )
| ( ( ! [SY696: $i] :
( ~ ( r3 @ SV382 @ SY696 )
| ( SV362 @ SY696 ) ) )
= $true )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1769]) ).
thf(1806,plain,
! [SV363: $i > $o,SV395: $i,SV345: $i] :
( ( ( ~ ( r1 @ SV345 @ SV395 )
| ( SV363 @ SV395 ) )
= $true )
| ( ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1770]) ).
thf(1807,plain,
! [SV363: $i > $o,SV383: $i,SV345: $i] :
( ( ( ~ ( r1 @ SV345 @ SV383 ) )
= $true )
| ( ( SV363 @ SV383 )
= $true )
| ( ( SV363 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1771]) ).
thf(1808,plain,
! [SV364: $i > $o,SV396: $i,SV346: $i] :
( ( ( ~ ( r3 @ SV346 @ SV396 )
| ! [SY706: $i] :
( ~ ( r1 @ SV396 @ SY706 )
| ( SV364 @ SY706 ) ) )
= $true )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(1809,plain,
! [SV364: $i > $o,SV384: $i,SV346: $i] :
( ( ( ~ ( r3 @ SV346 @ SV384 ) )
= $true )
| ( ( ! [SY697: $i] :
( ~ ( r1 @ SV384 @ SY697 )
| ( SV364 @ SY697 ) ) )
= $true )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1773]) ).
thf(1810,plain,
! [SV365: $i > $o,SV377: $i,SV347: $i] :
( ( ( r1 @ SV347 @ SV377 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( ! [SY655: $i] :
( ~ ( r1 @ SV347 @ SY655 )
| ~ ! [SY656: $i] :
( ~ ( r1 @ SY655 @ SY656 )
| ( SV365 @ SY656 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1774]) ).
thf(1811,plain,
! [SV366: $i > $o,SV397: $i,SV348: $i] :
( ( ( ~ ( r2 @ SV348 @ SV397 )
| ! [SY707: $i] :
( ~ ( r3 @ SV397 @ SY707 )
| ( SV366 @ SY707 ) ) )
= $true )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(1812,plain,
! [SV366: $i > $o,SV385: $i,SV348: $i] :
( ( ( ~ ( r2 @ SV348 @ SV385 ) )
= $true )
| ( ( ! [SY698: $i] :
( ~ ( r3 @ SV385 @ SY698 )
| ( SV366 @ SY698 ) ) )
= $true )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1776]) ).
thf(1813,plain,
! [SV367: $i > $o,SV398: $i,SV349: $i] :
( ( ( ~ ( r1 @ SV349 @ SV398 )
| ( SV367 @ SV398 ) )
= $true )
| ( ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(1814,plain,
! [SV367: $i > $o,SV386: $i,SV349: $i] :
( ( ( ~ ( r1 @ SV349 @ SV386 ) )
= $true )
| ( ( SV367 @ SV386 )
= $true )
| ( ( SV367 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(1815,plain,
! [SV368: $i > $o,SV399: $i,SV350: $i] :
( ( ( ~ ( r2 @ SV350 @ SV399 )
| ! [SY708: $i] :
( ~ ( r1 @ SV399 @ SY708 )
| ( SV368 @ SY708 ) ) )
= $true )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(1816,plain,
! [SV368: $i > $o,SV387: $i,SV350: $i] :
( ( ( ~ ( r2 @ SV350 @ SV387 ) )
= $true )
| ( ( ! [SY699: $i] :
( ~ ( r1 @ SV387 @ SY699 )
| ( SV368 @ SY699 ) ) )
= $true )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1780]) ).
thf(1817,plain,
! [SV369: $i > $o,SV400: $i,SV351: $i] :
( ( ( ~ ( r2 @ SV351 @ SV400 )
| ( SV369 @ SV400 ) )
= $true )
| ( ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(1818,plain,
! [SV369: $i > $o,SV388: $i,SV351: $i] :
( ( ( ~ ( r2 @ SV351 @ SV388 ) )
= $true )
| ( ( SV369 @ SV388 )
= $true )
| ( ( SV369 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1782]) ).
thf(1819,plain,
! [SV370: $i > $o,SV378: $i,SV352: $i] :
( ( ( r2 @ SV352 @ SV378 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( ! [SY668: $i] :
( ~ ( r2 @ SV352 @ SY668 )
| ~ ! [SY669: $i] :
( ~ ( r2 @ SY668 @ SY669 )
| ( SV370 @ SY669 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1820,plain,
! [SV371: $i > $o,SV401: $i,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ SV401 )
| ! [SY709: $i] :
( ~ ( r2 @ SV401 @ SY709 )
| ( SV371 @ SY709 ) ) )
= $true )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(1821,plain,
! [SV371: $i > $o,SV389: $i,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ SV389 ) )
= $true )
| ( ( ! [SY700: $i] :
( ~ ( r2 @ SV389 @ SY700 )
| ( SV371 @ SY700 ) ) )
= $true )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1822,plain,
! [SV372: $i > $o,SV379: $i,SV354: $i] :
( ( ( r3 @ SV354 @ SV379 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( ! [SY674: $i] :
( ~ ( r3 @ SV354 @ SY674 )
| ~ ! [SY675: $i] :
( ~ ( r3 @ SY674 @ SY675 )
| ( SV372 @ SY675 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1823,plain,
! [SV373: $i > $o,SV402: $i,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ SV402 )
| ! [SY710: $i] :
( ~ ( r1 @ SV402 @ SY710 )
| ( SV373 @ SY710 ) ) )
= $true )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(1824,plain,
! [SV373: $i > $o,SV390: $i,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ SV390 ) )
= $true )
| ( ( ! [SY701: $i] :
( ~ ( r1 @ SV390 @ SY701 )
| ( SV373 @ SY701 ) ) )
= $true )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1825,plain,
! [SV374: $i > $o,SV403: $i,SV356: $i] :
( ( ( ~ ( r3 @ SV356 @ SV403 )
| ! [SY711: $i] :
( ~ ( r2 @ SV403 @ SY711 )
| ( SV374 @ SY711 ) ) )
= $true )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(1826,plain,
! [SV374: $i > $o,SV391: $i,SV356: $i] :
( ( ( ~ ( r3 @ SV356 @ SV391 ) )
= $true )
| ( ( ! [SY702: $i] :
( ~ ( r2 @ SV391 @ SY702 )
| ( SV374 @ SY702 ) ) )
= $true )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(1827,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ! [SY683: $i] :
( ~ ( r1 @ SV357 @ SY683 )
| ~ ( SV375 @ SY683 ) ) )
= $false )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1828,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK133_SY683 @ SV375 @ SV357 ) )
| ~ ( SV375 @ ( sK133_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1792]) ).
thf(1829,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ! [SY685: $i] :
( ~ ( r3 @ SV358 @ SY685 )
| ~ ( SV376 @ SY685 ) ) )
= $false )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1830,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK134_SY685 @ SV376 @ SV358 ) )
| ~ ( SV376 @ ( sK134_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1794]) ).
thf(1831,plain,
( ( ~ ( r2 @ sK113_SX0 @ sK131_SY690 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1832,plain,
( ( sK114_SY686 @ sK131_SY690 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1795]) ).
thf(1833,plain,
! [SV404: $i] :
( ( ~ ( r2 @ sK130_SY691 @ SV404 )
| ( sK114_SY686 @ SV404 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(1834,plain,
! [SV359: $i > $o,SV392: $i,SV341: $i] :
( ( ( ~ ( r1 @ SV341 @ SV392 ) )
= $true )
| ( ( ! [SY703: $i] :
( ~ ( r3 @ SV392 @ SY703 )
| ( SV359 @ SY703 ) ) )
= $true )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1835,plain,
! [SV359: $i > $o,SV380: $i,SV341: $i] :
( ( ( r1 @ SV341 @ SV380 )
= $false )
| ( ( ! [SY694: $i] :
( ~ ( r3 @ SV380 @ SY694 )
| ( SV359 @ SY694 ) ) )
= $true )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1836,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK135_SY642 @ SV360 @ SV342 ) )
| ~ ( SV360 @ ( sK135_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1800]) ).
thf(1837,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK132_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1838,plain,
! [SV342: $i,SV360: $i > $o] :
( ( ( ~ ( SV360 @ ( sK132_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1801]) ).
thf(1839,plain,
! [SV361: $i > $o,SV393: $i,SV343: $i] :
( ( ( ~ ( r1 @ SV343 @ SV393 ) )
= $true )
| ( ( ! [SY704: $i] :
( ~ ( r2 @ SV393 @ SY704 )
| ( SV361 @ SY704 ) ) )
= $true )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1802]) ).
thf(1840,plain,
! [SV361: $i > $o,SV381: $i,SV343: $i] :
( ( ( r1 @ SV343 @ SV381 )
= $false )
| ( ( ! [SY695: $i] :
( ~ ( r2 @ SV381 @ SY695 )
| ( SV361 @ SY695 ) ) )
= $true )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1841,plain,
! [SV362: $i > $o,SV394: $i,SV344: $i] :
( ( ( ~ ( r3 @ SV344 @ SV394 ) )
= $true )
| ( ( ! [SY705: $i] :
( ~ ( r3 @ SV394 @ SY705 )
| ( SV362 @ SY705 ) ) )
= $true )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1842,plain,
! [SV362: $i > $o,SV382: $i,SV344: $i] :
( ( ( r3 @ SV344 @ SV382 )
= $false )
| ( ( ! [SY696: $i] :
( ~ ( r3 @ SV382 @ SY696 )
| ( SV362 @ SY696 ) ) )
= $true )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1843,plain,
! [SV363: $i > $o,SV395: $i,SV345: $i] :
( ( ( ~ ( r1 @ SV345 @ SV395 ) )
= $true )
| ( ( SV363 @ SV395 )
= $true )
| ( ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1806]) ).
thf(1844,plain,
! [SV363: $i > $o,SV383: $i,SV345: $i] :
( ( ( r1 @ SV345 @ SV383 )
= $false )
| ( ( SV363 @ SV383 )
= $true )
| ( ( SV363 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1845,plain,
! [SV364: $i > $o,SV396: $i,SV346: $i] :
( ( ( ~ ( r3 @ SV346 @ SV396 ) )
= $true )
| ( ( ! [SY706: $i] :
( ~ ( r1 @ SV396 @ SY706 )
| ( SV364 @ SY706 ) ) )
= $true )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1808]) ).
thf(1846,plain,
! [SV364: $i > $o,SV384: $i,SV346: $i] :
( ( ( r3 @ SV346 @ SV384 )
= $false )
| ( ( ! [SY697: $i] :
( ~ ( r1 @ SV384 @ SY697 )
| ( SV364 @ SY697 ) ) )
= $true )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1847,plain,
! [SV377: $i,SV365: $i > $o,SV405: $i,SV347: $i] :
( ( ( ~ ( r1 @ SV347 @ SV405 )
| ~ ! [SY712: $i] :
( ~ ( r1 @ SV405 @ SY712 )
| ( SV365 @ SY712 ) ) )
= $true )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(1848,plain,
! [SV366: $i > $o,SV397: $i,SV348: $i] :
( ( ( ~ ( r2 @ SV348 @ SV397 ) )
= $true )
| ( ( ! [SY707: $i] :
( ~ ( r3 @ SV397 @ SY707 )
| ( SV366 @ SY707 ) ) )
= $true )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1811]) ).
thf(1849,plain,
! [SV366: $i > $o,SV385: $i,SV348: $i] :
( ( ( r2 @ SV348 @ SV385 )
= $false )
| ( ( ! [SY698: $i] :
( ~ ( r3 @ SV385 @ SY698 )
| ( SV366 @ SY698 ) ) )
= $true )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1850,plain,
! [SV367: $i > $o,SV398: $i,SV349: $i] :
( ( ( ~ ( r1 @ SV349 @ SV398 ) )
= $true )
| ( ( SV367 @ SV398 )
= $true )
| ( ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1813]) ).
thf(1851,plain,
! [SV367: $i > $o,SV386: $i,SV349: $i] :
( ( ( r1 @ SV349 @ SV386 )
= $false )
| ( ( SV367 @ SV386 )
= $true )
| ( ( SV367 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1852,plain,
! [SV368: $i > $o,SV399: $i,SV350: $i] :
( ( ( ~ ( r2 @ SV350 @ SV399 ) )
= $true )
| ( ( ! [SY708: $i] :
( ~ ( r1 @ SV399 @ SY708 )
| ( SV368 @ SY708 ) ) )
= $true )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1853,plain,
! [SV368: $i > $o,SV387: $i,SV350: $i] :
( ( ( r2 @ SV350 @ SV387 )
= $false )
| ( ( ! [SY699: $i] :
( ~ ( r1 @ SV387 @ SY699 )
| ( SV368 @ SY699 ) ) )
= $true )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1854,plain,
! [SV369: $i > $o,SV400: $i,SV351: $i] :
( ( ( ~ ( r2 @ SV351 @ SV400 ) )
= $true )
| ( ( SV369 @ SV400 )
= $true )
| ( ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1817]) ).
thf(1855,plain,
! [SV369: $i > $o,SV388: $i,SV351: $i] :
( ( ( r2 @ SV351 @ SV388 )
= $false )
| ( ( SV369 @ SV388 )
= $true )
| ( ( SV369 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1856,plain,
! [SV378: $i,SV370: $i > $o,SV406: $i,SV352: $i] :
( ( ( ~ ( r2 @ SV352 @ SV406 )
| ~ ! [SY713: $i] :
( ~ ( r2 @ SV406 @ SY713 )
| ( SV370 @ SY713 ) ) )
= $true )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(1857,plain,
! [SV371: $i > $o,SV401: $i,SV353: $i] :
( ( ( ~ ( r2 @ SV353 @ SV401 ) )
= $true )
| ( ( ! [SY709: $i] :
( ~ ( r2 @ SV401 @ SY709 )
| ( SV371 @ SY709 ) ) )
= $true )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1858,plain,
! [SV371: $i > $o,SV389: $i,SV353: $i] :
( ( ( r2 @ SV353 @ SV389 )
= $false )
| ( ( ! [SY700: $i] :
( ~ ( r2 @ SV389 @ SY700 )
| ( SV371 @ SY700 ) ) )
= $true )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1859,plain,
! [SV379: $i,SV372: $i > $o,SV407: $i,SV354: $i] :
( ( ( ~ ( r3 @ SV354 @ SV407 )
| ~ ! [SY714: $i] :
( ~ ( r3 @ SV407 @ SY714 )
| ( SV372 @ SY714 ) ) )
= $true )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(1860,plain,
! [SV373: $i > $o,SV402: $i,SV355: $i] :
( ( ( ~ ( r1 @ SV355 @ SV402 ) )
= $true )
| ( ( ! [SY710: $i] :
( ~ ( r1 @ SV402 @ SY710 )
| ( SV373 @ SY710 ) ) )
= $true )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(1861,plain,
! [SV373: $i > $o,SV390: $i,SV355: $i] :
( ( ( r1 @ SV355 @ SV390 )
= $false )
| ( ( ! [SY701: $i] :
( ~ ( r1 @ SV390 @ SY701 )
| ( SV373 @ SY701 ) ) )
= $true )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1862,plain,
! [SV374: $i > $o,SV403: $i,SV356: $i] :
( ( ( ~ ( r3 @ SV356 @ SV403 ) )
= $true )
| ( ( ! [SY711: $i] :
( ~ ( r2 @ SV403 @ SY711 )
| ( SV374 @ SY711 ) ) )
= $true )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(1863,plain,
! [SV374: $i > $o,SV391: $i,SV356: $i] :
( ( ( r3 @ SV356 @ SV391 )
= $false )
| ( ( ! [SY702: $i] :
( ~ ( r2 @ SV391 @ SY702 )
| ( SV374 @ SY702 ) ) )
= $true )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1864,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK136_SY683 @ SV375 @ SV357 ) )
| ~ ( SV375 @ ( sK136_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1827]) ).
thf(1865,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK133_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1866,plain,
! [SV357: $i,SV375: $i > $o] :
( ( ( ~ ( SV375 @ ( sK133_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1867,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK137_SY685 @ SV376 @ SV358 ) )
| ~ ( SV376 @ ( sK137_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1829]) ).
thf(1868,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK134_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(1869,plain,
! [SV358: $i,SV376: $i > $o] :
( ( ( ~ ( SV376 @ ( sK134_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(1870,plain,
( ( r2 @ sK113_SX0 @ sK131_SY690 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1871,plain,
! [SV404: $i] :
( ( ( ~ ( r2 @ sK130_SY691 @ SV404 ) )
= $true )
| ( ( sK114_SY686 @ SV404 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1872,plain,
! [SV359: $i > $o,SV392: $i,SV341: $i] :
( ( ( r1 @ SV341 @ SV392 )
= $false )
| ( ( ! [SY703: $i] :
( ~ ( r3 @ SV392 @ SY703 )
| ( SV359 @ SY703 ) ) )
= $true )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1834]) ).
thf(1873,plain,
! [SV341: $i,SV359: $i > $o,SV408: $i,SV380: $i] :
( ( ( ~ ( r3 @ SV380 @ SV408 )
| ( SV359 @ SV408 ) )
= $true )
| ( ( r1 @ SV341 @ SV380 )
= $false )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(1874,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( ~ ( r2 @ SV342 @ ( sK135_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1875,plain,
! [SV342: $i,SV360: $i > $o] :
( ( ( ~ ( SV360 @ ( sK135_SY642 @ SV360 @ SV342 ) ) )
= $false )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1876,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( r2 @ SV342 @ ( sK132_SY642 @ SV360 @ SV342 ) )
= $true )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(1877,plain,
! [SV342: $i,SV360: $i > $o] :
( ( ( SV360 @ ( sK132_SY642 @ SV360 @ SV342 ) )
= $true )
| ( ( SV360 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1838]) ).
thf(1878,plain,
! [SV361: $i > $o,SV393: $i,SV343: $i] :
( ( ( r1 @ SV343 @ SV393 )
= $false )
| ( ( ! [SY704: $i] :
( ~ ( r2 @ SV393 @ SY704 )
| ( SV361 @ SY704 ) ) )
= $true )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1879,plain,
! [SV343: $i,SV361: $i > $o,SV409: $i,SV381: $i] :
( ( ( ~ ( r2 @ SV381 @ SV409 )
| ( SV361 @ SV409 ) )
= $true )
| ( ( r1 @ SV343 @ SV381 )
= $false )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(1880,plain,
! [SV362: $i > $o,SV394: $i,SV344: $i] :
( ( ( r3 @ SV344 @ SV394 )
= $false )
| ( ( ! [SY705: $i] :
( ~ ( r3 @ SV394 @ SY705 )
| ( SV362 @ SY705 ) ) )
= $true )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1881,plain,
! [SV344: $i,SV362: $i > $o,SV410: $i,SV382: $i] :
( ( ( ~ ( r3 @ SV382 @ SV410 )
| ( SV362 @ SV410 ) )
= $true )
| ( ( r3 @ SV344 @ SV382 )
= $false )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(1882,plain,
! [SV363: $i > $o,SV395: $i,SV345: $i] :
( ( ( r1 @ SV345 @ SV395 )
= $false )
| ( ( SV363 @ SV395 )
= $true )
| ( ( r2 @ SV345 @ ( sK119_SY649 @ SV363 @ SV345 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1883,plain,
! [SV364: $i > $o,SV396: $i,SV346: $i] :
( ( ( r3 @ SV346 @ SV396 )
= $false )
| ( ( ! [SY706: $i] :
( ~ ( r1 @ SV396 @ SY706 )
| ( SV364 @ SY706 ) ) )
= $true )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1884,plain,
! [SV346: $i,SV364: $i > $o,SV411: $i,SV384: $i] :
( ( ( ~ ( r1 @ SV384 @ SV411 )
| ( SV364 @ SV411 ) )
= $true )
| ( ( r3 @ SV346 @ SV384 )
= $false )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(1885,plain,
! [SV377: $i,SV365: $i > $o,SV405: $i,SV347: $i] :
( ( ( ~ ( r1 @ SV347 @ SV405 ) )
= $true )
| ( ( ~ ! [SY712: $i] :
( ~ ( r1 @ SV405 @ SY712 )
| ( SV365 @ SY712 ) ) )
= $true )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1847]) ).
thf(1886,plain,
! [SV366: $i > $o,SV397: $i,SV348: $i] :
( ( ( r2 @ SV348 @ SV397 )
= $false )
| ( ( ! [SY707: $i] :
( ~ ( r3 @ SV397 @ SY707 )
| ( SV366 @ SY707 ) ) )
= $true )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1848]) ).
thf(1887,plain,
! [SV348: $i,SV366: $i > $o,SV412: $i,SV385: $i] :
( ( ( ~ ( r3 @ SV385 @ SV412 )
| ( SV366 @ SV412 ) )
= $true )
| ( ( r2 @ SV348 @ SV385 )
= $false )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(1888,plain,
! [SV367: $i > $o,SV398: $i,SV349: $i] :
( ( ( r1 @ SV349 @ SV398 )
= $false )
| ( ( SV367 @ SV398 )
= $true )
| ( ( r3 @ SV349 @ ( sK122_SY660 @ SV367 @ SV349 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1889,plain,
! [SV368: $i > $o,SV399: $i,SV350: $i] :
( ( ( r2 @ SV350 @ SV399 )
= $false )
| ( ( ! [SY708: $i] :
( ~ ( r1 @ SV399 @ SY708 )
| ( SV368 @ SY708 ) ) )
= $true )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1890,plain,
! [SV350: $i,SV368: $i > $o,SV413: $i,SV387: $i] :
( ( ( ~ ( r1 @ SV387 @ SV413 )
| ( SV368 @ SV413 ) )
= $true )
| ( ( r2 @ SV350 @ SV387 )
= $false )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(1891,plain,
! [SV369: $i > $o,SV400: $i,SV351: $i] :
( ( ( r2 @ SV351 @ SV400 )
= $false )
| ( ( SV369 @ SV400 )
= $true )
| ( ( r3 @ SV351 @ ( sK124_SY665 @ SV369 @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1892,plain,
! [SV378: $i,SV370: $i > $o,SV406: $i,SV352: $i] :
( ( ( ~ ( r2 @ SV352 @ SV406 ) )
= $true )
| ( ( ~ ! [SY713: $i] :
( ~ ( r2 @ SV406 @ SY713 )
| ( SV370 @ SY713 ) ) )
= $true )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1856]) ).
thf(1893,plain,
! [SV371: $i > $o,SV401: $i,SV353: $i] :
( ( ( r2 @ SV353 @ SV401 )
= $false )
| ( ( ! [SY709: $i] :
( ~ ( r2 @ SV401 @ SY709 )
| ( SV371 @ SY709 ) ) )
= $true )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1894,plain,
! [SV353: $i,SV371: $i > $o,SV414: $i,SV389: $i] :
( ( ( ~ ( r2 @ SV389 @ SV414 )
| ( SV371 @ SV414 ) )
= $true )
| ( ( r2 @ SV353 @ SV389 )
= $false )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(1895,plain,
! [SV379: $i,SV372: $i > $o,SV407: $i,SV354: $i] :
( ( ( ~ ( r3 @ SV354 @ SV407 ) )
= $true )
| ( ( ~ ! [SY714: $i] :
( ~ ( r3 @ SV407 @ SY714 )
| ( SV372 @ SY714 ) ) )
= $true )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1859]) ).
thf(1896,plain,
! [SV373: $i > $o,SV402: $i,SV355: $i] :
( ( ( r1 @ SV355 @ SV402 )
= $false )
| ( ( ! [SY710: $i] :
( ~ ( r1 @ SV402 @ SY710 )
| ( SV373 @ SY710 ) ) )
= $true )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1897,plain,
! [SV355: $i,SV373: $i > $o,SV415: $i,SV390: $i] :
( ( ( ~ ( r1 @ SV390 @ SV415 )
| ( SV373 @ SV415 ) )
= $true )
| ( ( r1 @ SV355 @ SV390 )
= $false )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(1898,plain,
! [SV374: $i > $o,SV403: $i,SV356: $i] :
( ( ( r3 @ SV356 @ SV403 )
= $false )
| ( ( ! [SY711: $i] :
( ~ ( r2 @ SV403 @ SY711 )
| ( SV374 @ SY711 ) ) )
= $true )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1899,plain,
! [SV356: $i,SV374: $i > $o,SV416: $i,SV391: $i] :
( ( ( ~ ( r2 @ SV391 @ SV416 )
| ( SV374 @ SV416 ) )
= $true )
| ( ( r3 @ SV356 @ SV391 )
= $false )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(1900,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( ~ ( r1 @ SV357 @ ( sK136_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1901,plain,
! [SV357: $i,SV375: $i > $o] :
( ( ( ~ ( SV375 @ ( sK136_SY683 @ SV375 @ SV357 ) ) )
= $false )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1902,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( r1 @ SV357 @ ( sK133_SY683 @ SV375 @ SV357 ) )
= $true )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1865]) ).
thf(1903,plain,
! [SV357: $i,SV375: $i > $o] :
( ( ( SV375 @ ( sK133_SY683 @ SV375 @ SV357 ) )
= $true )
| ( ( SV375 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1866]) ).
thf(1904,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( ~ ( r3 @ SV358 @ ( sK137_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1905,plain,
! [SV358: $i,SV376: $i > $o] :
( ( ( ~ ( SV376 @ ( sK137_SY685 @ SV376 @ SV358 ) ) )
= $false )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1906,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( r3 @ SV358 @ ( sK134_SY685 @ SV376 @ SV358 ) )
= $true )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1907,plain,
! [SV358: $i,SV376: $i > $o] :
( ( ( SV376 @ ( sK134_SY685 @ SV376 @ SV358 ) )
= $true )
| ( ( SV376 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1869]) ).
thf(1908,plain,
! [SV404: $i] :
( ( ( r2 @ sK130_SY691 @ SV404 )
= $false )
| ( ( sK114_SY686 @ SV404 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(1909,plain,
! [SV341: $i,SV359: $i > $o,SV417: $i,SV392: $i] :
( ( ( ~ ( r3 @ SV392 @ SV417 )
| ( SV359 @ SV417 ) )
= $true )
| ( ( r1 @ SV341 @ SV392 )
= $false )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(1910,plain,
! [SV341: $i,SV359: $i > $o,SV408: $i,SV380: $i] :
( ( ( ~ ( r3 @ SV380 @ SV408 ) )
= $true )
| ( ( SV359 @ SV408 )
= $true )
| ( ( r1 @ SV341 @ SV380 )
= $false )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1873]) ).
thf(1911,plain,
! [SV360: $i > $o,SV342: $i] :
( ( ( r2 @ SV342 @ ( sK135_SY642 @ SV360 @ SV342 ) )
= $true )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(1912,plain,
! [SV342: $i,SV360: $i > $o] :
( ( ( SV360 @ ( sK135_SY642 @ SV360 @ SV342 ) )
= $true )
| ( ( r2 @ SV342 @ ( sK116_SY641 @ SV360 @ SV342 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1913,plain,
! [SV343: $i,SV361: $i > $o,SV418: $i,SV393: $i] :
( ( ( ~ ( r2 @ SV393 @ SV418 )
| ( SV361 @ SV418 ) )
= $true )
| ( ( r1 @ SV343 @ SV393 )
= $false )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(1914,plain,
! [SV343: $i,SV361: $i > $o,SV409: $i,SV381: $i] :
( ( ( ~ ( r2 @ SV381 @ SV409 ) )
= $true )
| ( ( SV361 @ SV409 )
= $true )
| ( ( r1 @ SV343 @ SV381 )
= $false )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1879]) ).
thf(1915,plain,
! [SV344: $i,SV362: $i > $o,SV419: $i,SV394: $i] :
( ( ( ~ ( r3 @ SV394 @ SV419 )
| ( SV362 @ SV419 ) )
= $true )
| ( ( r3 @ SV344 @ SV394 )
= $false )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(1916,plain,
! [SV344: $i,SV362: $i > $o,SV410: $i,SV382: $i] :
( ( ( ~ ( r3 @ SV382 @ SV410 ) )
= $true )
| ( ( SV362 @ SV410 )
= $true )
| ( ( r3 @ SV344 @ SV382 )
= $false )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(1917,plain,
! [SV346: $i,SV364: $i > $o,SV420: $i,SV396: $i] :
( ( ( ~ ( r1 @ SV396 @ SV420 )
| ( SV364 @ SV420 ) )
= $true )
| ( ( r3 @ SV346 @ SV396 )
= $false )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(1918,plain,
! [SV346: $i,SV364: $i > $o,SV411: $i,SV384: $i] :
( ( ( ~ ( r1 @ SV384 @ SV411 ) )
= $true )
| ( ( SV364 @ SV411 )
= $true )
| ( ( r3 @ SV346 @ SV384 )
= $false )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1884]) ).
thf(1919,plain,
! [SV377: $i,SV365: $i > $o,SV405: $i,SV347: $i] :
( ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( ~ ! [SY712: $i] :
( ~ ( r1 @ SV405 @ SY712 )
| ( SV365 @ SY712 ) ) )
= $true )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1920,plain,
! [SV348: $i,SV366: $i > $o,SV421: $i,SV397: $i] :
( ( ( ~ ( r3 @ SV397 @ SV421 )
| ( SV366 @ SV421 ) )
= $true )
| ( ( r2 @ SV348 @ SV397 )
= $false )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(1921,plain,
! [SV348: $i,SV366: $i > $o,SV412: $i,SV385: $i] :
( ( ( ~ ( r3 @ SV385 @ SV412 ) )
= $true )
| ( ( SV366 @ SV412 )
= $true )
| ( ( r2 @ SV348 @ SV385 )
= $false )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1887]) ).
thf(1922,plain,
! [SV350: $i,SV368: $i > $o,SV422: $i,SV399: $i] :
( ( ( ~ ( r1 @ SV399 @ SV422 )
| ( SV368 @ SV422 ) )
= $true )
| ( ( r2 @ SV350 @ SV399 )
= $false )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(1923,plain,
! [SV350: $i,SV368: $i > $o,SV413: $i,SV387: $i] :
( ( ( ~ ( r1 @ SV387 @ SV413 ) )
= $true )
| ( ( SV368 @ SV413 )
= $true )
| ( ( r2 @ SV350 @ SV387 )
= $false )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1890]) ).
thf(1924,plain,
! [SV378: $i,SV370: $i > $o,SV406: $i,SV352: $i] :
( ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( ~ ! [SY713: $i] :
( ~ ( r2 @ SV406 @ SY713 )
| ( SV370 @ SY713 ) ) )
= $true )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1892]) ).
thf(1925,plain,
! [SV353: $i,SV371: $i > $o,SV423: $i,SV401: $i] :
( ( ( ~ ( r2 @ SV401 @ SV423 )
| ( SV371 @ SV423 ) )
= $true )
| ( ( r2 @ SV353 @ SV401 )
= $false )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(1926,plain,
! [SV353: $i,SV371: $i > $o,SV414: $i,SV389: $i] :
( ( ( ~ ( r2 @ SV389 @ SV414 ) )
= $true )
| ( ( SV371 @ SV414 )
= $true )
| ( ( r2 @ SV353 @ SV389 )
= $false )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1894]) ).
thf(1927,plain,
! [SV379: $i,SV372: $i > $o,SV407: $i,SV354: $i] :
( ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( ~ ! [SY714: $i] :
( ~ ( r3 @ SV407 @ SY714 )
| ( SV372 @ SY714 ) ) )
= $true )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1928,plain,
! [SV355: $i,SV373: $i > $o,SV424: $i,SV402: $i] :
( ( ( ~ ( r1 @ SV402 @ SV424 )
| ( SV373 @ SV424 ) )
= $true )
| ( ( r1 @ SV355 @ SV402 )
= $false )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(1929,plain,
! [SV355: $i,SV373: $i > $o,SV415: $i,SV390: $i] :
( ( ( ~ ( r1 @ SV390 @ SV415 ) )
= $true )
| ( ( SV373 @ SV415 )
= $true )
| ( ( r1 @ SV355 @ SV390 )
= $false )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1897]) ).
thf(1930,plain,
! [SV356: $i,SV374: $i > $o,SV425: $i,SV403: $i] :
( ( ( ~ ( r2 @ SV403 @ SV425 )
| ( SV374 @ SV425 ) )
= $true )
| ( ( r3 @ SV356 @ SV403 )
= $false )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(1931,plain,
! [SV356: $i,SV374: $i > $o,SV416: $i,SV391: $i] :
( ( ( ~ ( r2 @ SV391 @ SV416 ) )
= $true )
| ( ( SV374 @ SV416 )
= $true )
| ( ( r3 @ SV356 @ SV391 )
= $false )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(1932,plain,
! [SV375: $i > $o,SV357: $i] :
( ( ( r1 @ SV357 @ ( sK136_SY683 @ SV375 @ SV357 ) )
= $true )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1900]) ).
thf(1933,plain,
! [SV357: $i,SV375: $i > $o] :
( ( ( SV375 @ ( sK136_SY683 @ SV375 @ SV357 ) )
= $true )
| ( ( r1 @ SV357 @ ( sK128_SY682 @ SV375 @ SV357 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(1934,plain,
! [SV376: $i > $o,SV358: $i] :
( ( ( r3 @ SV358 @ ( sK137_SY685 @ SV376 @ SV358 ) )
= $true )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(1935,plain,
! [SV358: $i,SV376: $i > $o] :
( ( ( SV376 @ ( sK137_SY685 @ SV376 @ SV358 ) )
= $true )
| ( ( r3 @ SV358 @ ( sK129_SY684 @ SV376 @ SV358 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1936,plain,
! [SV341: $i,SV359: $i > $o,SV417: $i,SV392: $i] :
( ( ( ~ ( r3 @ SV392 @ SV417 ) )
= $true )
| ( ( SV359 @ SV417 )
= $true )
| ( ( r1 @ SV341 @ SV392 )
= $false )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1909]) ).
thf(1937,plain,
! [SV341: $i,SV359: $i > $o,SV408: $i,SV380: $i] :
( ( ( r3 @ SV380 @ SV408 )
= $false )
| ( ( SV359 @ SV408 )
= $true )
| ( ( r1 @ SV341 @ SV380 )
= $false )
| ( ( SV359 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1938,plain,
! [SV343: $i,SV361: $i > $o,SV418: $i,SV393: $i] :
( ( ( ~ ( r2 @ SV393 @ SV418 ) )
= $true )
| ( ( SV361 @ SV418 )
= $true )
| ( ( r1 @ SV343 @ SV393 )
= $false )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1913]) ).
thf(1939,plain,
! [SV343: $i,SV361: $i > $o,SV409: $i,SV381: $i] :
( ( ( r2 @ SV381 @ SV409 )
= $false )
| ( ( SV361 @ SV409 )
= $true )
| ( ( r1 @ SV343 @ SV381 )
= $false )
| ( ( SV361 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(1940,plain,
! [SV344: $i,SV362: $i > $o,SV419: $i,SV394: $i] :
( ( ( ~ ( r3 @ SV394 @ SV419 ) )
= $true )
| ( ( SV362 @ SV419 )
= $true )
| ( ( r3 @ SV344 @ SV394 )
= $false )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1915]) ).
thf(1941,plain,
! [SV344: $i,SV362: $i > $o,SV410: $i,SV382: $i] :
( ( ( r3 @ SV382 @ SV410 )
= $false )
| ( ( SV362 @ SV410 )
= $true )
| ( ( r3 @ SV344 @ SV382 )
= $false )
| ( ( SV362 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(1942,plain,
! [SV346: $i,SV364: $i > $o,SV420: $i,SV396: $i] :
( ( ( ~ ( r1 @ SV396 @ SV420 ) )
= $true )
| ( ( SV364 @ SV420 )
= $true )
| ( ( r3 @ SV346 @ SV396 )
= $false )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1943,plain,
! [SV346: $i,SV364: $i > $o,SV411: $i,SV384: $i] :
( ( ( r1 @ SV384 @ SV411 )
= $false )
| ( ( SV364 @ SV411 )
= $true )
| ( ( r3 @ SV346 @ SV384 )
= $false )
| ( ( SV364 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(1944,plain,
! [SV377: $i,SV347: $i,SV365: $i > $o,SV405: $i] :
( ( ( ! [SY712: $i] :
( ~ ( r1 @ SV405 @ SY712 )
| ( SV365 @ SY712 ) ) )
= $false )
| ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(1945,plain,
! [SV348: $i,SV366: $i > $o,SV421: $i,SV397: $i] :
( ( ( ~ ( r3 @ SV397 @ SV421 ) )
= $true )
| ( ( SV366 @ SV421 )
= $true )
| ( ( r2 @ SV348 @ SV397 )
= $false )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1920]) ).
thf(1946,plain,
! [SV348: $i,SV366: $i > $o,SV412: $i,SV385: $i] :
( ( ( r3 @ SV385 @ SV412 )
= $false )
| ( ( SV366 @ SV412 )
= $true )
| ( ( r2 @ SV348 @ SV385 )
= $false )
| ( ( SV366 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1947,plain,
! [SV350: $i,SV368: $i > $o,SV422: $i,SV399: $i] :
( ( ( ~ ( r1 @ SV399 @ SV422 ) )
= $true )
| ( ( SV368 @ SV422 )
= $true )
| ( ( r2 @ SV350 @ SV399 )
= $false )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1922]) ).
thf(1948,plain,
! [SV350: $i,SV368: $i > $o,SV413: $i,SV387: $i] :
( ( ( r1 @ SV387 @ SV413 )
= $false )
| ( ( SV368 @ SV413 )
= $true )
| ( ( r2 @ SV350 @ SV387 )
= $false )
| ( ( SV368 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(1949,plain,
! [SV378: $i,SV352: $i,SV370: $i > $o,SV406: $i] :
( ( ( ! [SY713: $i] :
( ~ ( r2 @ SV406 @ SY713 )
| ( SV370 @ SY713 ) ) )
= $false )
| ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1924]) ).
thf(1950,plain,
! [SV353: $i,SV371: $i > $o,SV423: $i,SV401: $i] :
( ( ( ~ ( r2 @ SV401 @ SV423 ) )
= $true )
| ( ( SV371 @ SV423 )
= $true )
| ( ( r2 @ SV353 @ SV401 )
= $false )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(1951,plain,
! [SV353: $i,SV371: $i > $o,SV414: $i,SV389: $i] :
( ( ( r2 @ SV389 @ SV414 )
= $false )
| ( ( SV371 @ SV414 )
= $true )
| ( ( r2 @ SV353 @ SV389 )
= $false )
| ( ( SV371 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(1952,plain,
! [SV379: $i,SV354: $i,SV372: $i > $o,SV407: $i] :
( ( ( ! [SY714: $i] :
( ~ ( r3 @ SV407 @ SY714 )
| ( SV372 @ SY714 ) ) )
= $false )
| ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1927]) ).
thf(1953,plain,
! [SV355: $i,SV373: $i > $o,SV424: $i,SV402: $i] :
( ( ( ~ ( r1 @ SV402 @ SV424 ) )
= $true )
| ( ( SV373 @ SV424 )
= $true )
| ( ( r1 @ SV355 @ SV402 )
= $false )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1928]) ).
thf(1954,plain,
! [SV355: $i,SV373: $i > $o,SV415: $i,SV390: $i] :
( ( ( r1 @ SV390 @ SV415 )
= $false )
| ( ( SV373 @ SV415 )
= $true )
| ( ( r1 @ SV355 @ SV390 )
= $false )
| ( ( SV373 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(1955,plain,
! [SV356: $i,SV374: $i > $o,SV425: $i,SV403: $i] :
( ( ( ~ ( r2 @ SV403 @ SV425 ) )
= $true )
| ( ( SV374 @ SV425 )
= $true )
| ( ( r3 @ SV356 @ SV403 )
= $false )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1930]) ).
thf(1956,plain,
! [SV356: $i,SV374: $i > $o,SV416: $i,SV391: $i] :
( ( ( r2 @ SV391 @ SV416 )
= $false )
| ( ( SV374 @ SV416 )
= $true )
| ( ( r3 @ SV356 @ SV391 )
= $false )
| ( ( SV374 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(1957,plain,
! [SV341: $i,SV359: $i > $o,SV417: $i,SV392: $i] :
( ( ( r3 @ SV392 @ SV417 )
= $false )
| ( ( SV359 @ SV417 )
= $true )
| ( ( r1 @ SV341 @ SV392 )
= $false )
| ( ( r3 @ SV341 @ ( sK115_SY638 @ SV359 @ SV341 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(1958,plain,
! [SV343: $i,SV361: $i > $o,SV418: $i,SV393: $i] :
( ( ( r2 @ SV393 @ SV418 )
= $false )
| ( ( SV361 @ SV418 )
= $true )
| ( ( r1 @ SV343 @ SV393 )
= $false )
| ( ( r2 @ SV343 @ ( sK117_SY643 @ SV361 @ SV343 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(1959,plain,
! [SV344: $i,SV362: $i > $o,SV419: $i,SV394: $i] :
( ( ( r3 @ SV394 @ SV419 )
= $false )
| ( ( SV362 @ SV419 )
= $true )
| ( ( r3 @ SV344 @ SV394 )
= $false )
| ( ( r3 @ SV344 @ ( sK118_SY646 @ SV362 @ SV344 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(1960,plain,
! [SV346: $i,SV364: $i > $o,SV420: $i,SV396: $i] :
( ( ( r1 @ SV396 @ SV420 )
= $false )
| ( ( SV364 @ SV420 )
= $true )
| ( ( r3 @ SV346 @ SV396 )
= $false )
| ( ( r1 @ SV346 @ ( sK120_SY651 @ SV364 @ SV346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(1961,plain,
! [SV365: $i > $o,SV347: $i,SV377: $i,SV405: $i] :
( ( ( ~ ( r1 @ SV405 @ ( sK138_SY712 @ SV377 @ SV347 @ SV365 @ SV405 ) )
| ( SV365 @ ( sK138_SY712 @ SV377 @ SV347 @ SV365 @ SV405 ) ) )
= $false )
| ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1944]) ).
thf(1962,plain,
! [SV348: $i,SV366: $i > $o,SV421: $i,SV397: $i] :
( ( ( r3 @ SV397 @ SV421 )
= $false )
| ( ( SV366 @ SV421 )
= $true )
| ( ( r2 @ SV348 @ SV397 )
= $false )
| ( ( r3 @ SV348 @ ( sK121_SY657 @ SV366 @ SV348 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(1963,plain,
! [SV350: $i,SV368: $i > $o,SV422: $i,SV399: $i] :
( ( ( r1 @ SV399 @ SV422 )
= $false )
| ( ( SV368 @ SV422 )
= $true )
| ( ( r2 @ SV350 @ SV399 )
= $false )
| ( ( r1 @ SV350 @ ( sK123_SY662 @ SV368 @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1947]) ).
thf(1964,plain,
! [SV370: $i > $o,SV352: $i,SV378: $i,SV406: $i] :
( ( ( ~ ( r2 @ SV406 @ ( sK139_SY713 @ SV378 @ SV352 @ SV370 @ SV406 ) )
| ( SV370 @ ( sK139_SY713 @ SV378 @ SV352 @ SV370 @ SV406 ) ) )
= $false )
| ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1949]) ).
thf(1965,plain,
! [SV353: $i,SV371: $i > $o,SV423: $i,SV401: $i] :
( ( ( r2 @ SV401 @ SV423 )
= $false )
| ( ( SV371 @ SV423 )
= $true )
| ( ( r2 @ SV353 @ SV401 )
= $false )
| ( ( r2 @ SV353 @ ( sK125_SY670 @ SV371 @ SV353 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1950]) ).
thf(1966,plain,
! [SV372: $i > $o,SV354: $i,SV379: $i,SV407: $i] :
( ( ( ~ ( r3 @ SV407 @ ( sK140_SY714 @ SV379 @ SV354 @ SV372 @ SV407 ) )
| ( SV372 @ ( sK140_SY714 @ SV379 @ SV354 @ SV372 @ SV407 ) ) )
= $false )
| ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1952]) ).
thf(1967,plain,
! [SV355: $i,SV373: $i > $o,SV424: $i,SV402: $i] :
( ( ( r1 @ SV402 @ SV424 )
= $false )
| ( ( SV373 @ SV424 )
= $true )
| ( ( r1 @ SV355 @ SV402 )
= $false )
| ( ( r1 @ SV355 @ ( sK126_SY676 @ SV373 @ SV355 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1953]) ).
thf(1968,plain,
! [SV356: $i,SV374: $i > $o,SV425: $i,SV403: $i] :
( ( ( r2 @ SV403 @ SV425 )
= $false )
| ( ( SV374 @ SV425 )
= $true )
| ( ( r3 @ SV356 @ SV403 )
= $false )
| ( ( r2 @ SV356 @ ( sK127_SY679 @ SV374 @ SV356 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1955]) ).
thf(1969,plain,
! [SV365: $i > $o,SV347: $i,SV377: $i,SV405: $i] :
( ( ( ~ ( r1 @ SV405 @ ( sK138_SY712 @ SV377 @ SV347 @ SV365 @ SV405 ) ) )
= $false )
| ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(1970,plain,
! [SV405: $i,SV347: $i,SV377: $i,SV365: $i > $o] :
( ( ( SV365 @ ( sK138_SY712 @ SV377 @ SV347 @ SV365 @ SV405 ) )
= $false )
| ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(1971,plain,
! [SV370: $i > $o,SV352: $i,SV378: $i,SV406: $i] :
( ( ( ~ ( r2 @ SV406 @ ( sK139_SY713 @ SV378 @ SV352 @ SV370 @ SV406 ) ) )
= $false )
| ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(1972,plain,
! [SV406: $i,SV352: $i,SV378: $i,SV370: $i > $o] :
( ( ( SV370 @ ( sK139_SY713 @ SV378 @ SV352 @ SV370 @ SV406 ) )
= $false )
| ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(1973,plain,
! [SV372: $i > $o,SV354: $i,SV379: $i,SV407: $i] :
( ( ( ~ ( r3 @ SV407 @ ( sK140_SY714 @ SV379 @ SV354 @ SV372 @ SV407 ) ) )
= $false )
| ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(1974,plain,
! [SV407: $i,SV354: $i,SV379: $i,SV372: $i > $o] :
( ( ( SV372 @ ( sK140_SY714 @ SV379 @ SV354 @ SV372 @ SV407 ) )
= $false )
| ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(1975,plain,
! [SV365: $i > $o,SV347: $i,SV377: $i,SV405: $i] :
( ( ( r1 @ SV405 @ ( sK138_SY712 @ SV377 @ SV347 @ SV365 @ SV405 ) )
= $true )
| ( ( r1 @ SV347 @ SV405 )
= $false )
| ( ( SV365 @ SV377 )
= $true )
| ( ( r1 @ SV347 @ SV377 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1969]) ).
thf(1976,plain,
! [SV370: $i > $o,SV352: $i,SV378: $i,SV406: $i] :
( ( ( r2 @ SV406 @ ( sK139_SY713 @ SV378 @ SV352 @ SV370 @ SV406 ) )
= $true )
| ( ( r2 @ SV352 @ SV406 )
= $false )
| ( ( SV370 @ SV378 )
= $true )
| ( ( r2 @ SV352 @ SV378 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1971]) ).
thf(1977,plain,
! [SV372: $i > $o,SV354: $i,SV379: $i,SV407: $i] :
( ( ( r3 @ SV407 @ ( sK140_SY714 @ SV379 @ SV354 @ SV372 @ SV407 ) )
= $true )
| ( ( r3 @ SV354 @ SV407 )
= $false )
| ( ( SV372 @ SV379 )
= $true )
| ( ( r3 @ SV354 @ SV379 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(1978,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1796,1977,1976,1975,1974,1972,1970,1968,1967,1965,1963,1962,1960,1959,1958,1957,1956,1954,1951,1948,1946,1943,1941,1939,1937,1935,1934,1933,1932,1912,1911,1908,1907,1906,1903,1902,1891,1888,1882,1877,1876,1870,1855,1851,1844,1832]) ).
thf(1979,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(1980,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(1981,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(1982,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(1983,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(1984,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(1985,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(1986,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(1987,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(1988,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(1989,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(1990,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(1991,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(1992,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(1993,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(1994,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(1995,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(1996,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(1997,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(1998,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1990,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(1999,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1991,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2000,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1986,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2001,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1988,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2002,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1983,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2003,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1985,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2004,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1996,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2005,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1989,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2006,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1982,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2007,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1992,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2008,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1980,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2009,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1984,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2010,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1994,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2011,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1979,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2012,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1995,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2013,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1987,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2014,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1981,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2015,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1997,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2016,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1993,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2017,plain,
! [SV426: $i] :
( ( ! [SY715: $i > $o] :
( ~ ! [SY716: $i] :
( ~ ( r2 @ SV426 @ SY716 )
| ( SY715 @ SY716 ) )
| ! [SY717: $i] :
( ~ ( r3 @ SV426 @ SY717 )
| ! [SX3: $i] :
( ~ ( r2 @ SY717 @ SX3 )
| ( SY715 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2018,plain,
! [SV427: $i] :
( ( ! [SY719: $i > $o] :
( ~ ! [SY720: $i] :
( ~ ( r3 @ SV427 @ SY720 )
| ( SY719 @ SY720 ) )
| ! [SY721: $i] :
( ~ ( r1 @ SV427 @ SY721 )
| ! [SX3: $i] :
( ~ ( r3 @ SY721 @ SX3 )
| ( SY719 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2019,plain,
! [SV428: $i] :
( ( ! [SY723: $i > $o] :
( ~ ! [SY724: $i] :
( ~ ( r1 @ SV428 @ SY724 )
| ( SY723 @ SY724 ) )
| ! [SY725: $i] :
( ~ ( r2 @ SV428 @ SY725 )
| ! [SX3: $i] :
( ~ ( r1 @ SY725 @ SX3 )
| ( SY723 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2020,plain,
! [SV429: $i] :
( ( ! [SY727: $i > $o] :
( ~ ! [SY728: $i] :
( ~ ( r2 @ SV429 @ SY728 )
| ( SY727 @ SY728 ) )
| ! [SY729: $i] :
( ~ ( r1 @ SV429 @ SY729 )
| ! [SX3: $i] :
( ~ ( r2 @ SY729 @ SX3 )
| ( SY727 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2021,plain,
! [SV430: $i] :
( ( ! [SY731: $i > $o] :
( ~ ! [SY732: $i] :
( ~ ( r3 @ SV430 @ SY732 )
| ( SY731 @ SY732 ) )
| ! [SY733: $i] :
( ~ ( r1 @ SV430 @ SY733 )
| ( SY731 @ SY733 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2022,plain,
! [SV431: $i] :
( ( ! [SY734: $i > $o] :
( ~ ! [SY735: $i] :
( ~ ( r1 @ SV431 @ SY735 )
| ( SY734 @ SY735 ) )
| ! [SY736: $i] :
( ~ ( r1 @ SV431 @ SY736 )
| ! [SX3: $i] :
( ~ ( r1 @ SY736 @ SX3 )
| ( SY734 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2023,plain,
! [SV432: $i] :
( ( ! [SY738: $i > $o] :
( ~ ~ ! [SY739: $i] :
( ~ ( r3 @ SV432 @ SY739 )
| ( SY738 @ SY739 ) )
| ! [SY740: $i] :
( ~ ( r3 @ SV432 @ SY740 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY740 @ SX3 )
| ( SY738 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2024,plain,
! [SV433: $i] :
( ( ! [SY742: $i > $o] :
( ~ ! [SY743: $i] :
( ~ ( r2 @ SV433 @ SY743 )
| ( SY742 @ SY743 ) )
| ! [SY744: $i] :
( ~ ( r2 @ SV433 @ SY744 )
| ! [SX3: $i] :
( ~ ( r2 @ SY744 @ SX3 )
| ( SY742 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2025,plain,
! [SV434: $i] :
( ( ! [SY746: $i > $o] :
( ~ ! [SY747: $i] :
( ~ ( r2 @ SV434 @ SY747 )
| ( SY746 @ SY747 ) )
| ! [SY748: $i] :
( ~ ( r1 @ SV434 @ SY748 )
| ( SY746 @ SY748 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2026,plain,
! [SV435: $i] :
( ( ! [SY749: $i > $o] :
( ~ ! [SY750: $i] :
( ~ ( r3 @ SV435 @ SY750 )
| ( SY749 @ SY750 ) )
| ! [SY751: $i] :
( ~ ( r2 @ SV435 @ SY751 )
| ! [SX3: $i] :
( ~ ( r3 @ SY751 @ SX3 )
| ( SY749 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2027,plain,
! [SV436: $i] :
( ( ! [SY753: $i > $o] :
( ~ ! [SY754: $i] :
( ~ ( r2 @ SV436 @ SY754 )
| ( SY753 @ SY754 ) )
| ~ ! [SY755: $i] :
( ~ ( r2 @ SV436 @ SY755 )
| ~ ( SY753 @ SY755 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2028,plain,
! [SV437: $i] :
( ( ! [SY756: $i > $o] :
( ~ ! [SY757: $i] :
( ~ ( r3 @ SV437 @ SY757 )
| ( SY756 @ SY757 ) )
| ! [SY758: $i] :
( ~ ( r2 @ SV437 @ SY758 )
| ( SY756 @ SY758 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2029,plain,
! [SV438: $i] :
( ( ! [SY759: $i > $o] :
( ~ ~ ! [SY760: $i] :
( ~ ( r1 @ SV438 @ SY760 )
| ( SY759 @ SY760 ) )
| ! [SY761: $i] :
( ~ ( r1 @ SV438 @ SY761 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY761 @ SX3 )
| ( SY759 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2030,plain,
! [SV439: $i] :
( ( ! [SY763: $i > $o] :
( ~ ! [SY764: $i] :
( ~ ( r1 @ SV439 @ SY764 )
| ( SY763 @ SY764 ) )
| ~ ! [SY765: $i] :
( ~ ( r1 @ SV439 @ SY765 )
| ~ ( SY763 @ SY765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2031,plain,
! [SV440: $i] :
( ( ! [SY766: $i > $o] :
( ~ ~ ! [SY767: $i] :
( ~ ( r2 @ SV440 @ SY767 )
| ( SY766 @ SY767 ) )
| ! [SY768: $i] :
( ~ ( r2 @ SV440 @ SY768 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY768 @ SX3 )
| ( SY766 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2032,plain,
! [SV441: $i] :
( ( ! [SY770: $i > $o] :
( ~ ! [SY771: $i] :
( ~ ( r1 @ SV441 @ SY771 )
| ( SY770 @ SY771 ) )
| ! [SY772: $i] :
( ~ ( r3 @ SV441 @ SY772 )
| ! [SX3: $i] :
( ~ ( r1 @ SY772 @ SX3 )
| ( SY770 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2033,plain,
! [SV442: $i] :
( ( ! [SY774: $i > $o] :
( ~ ! [SY775: $i] :
( ~ ( r3 @ SV442 @ SY775 )
| ( SY774 @ SY775 ) )
| ~ ! [SY776: $i] :
( ~ ( r3 @ SV442 @ SY776 )
| ~ ( SY774 @ SY776 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2034,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2015]) ).
thf(2035,plain,
! [SV443: $i] :
( ( ! [SY777: $i > $o] :
( ~ ! [SY778: $i] :
( ~ ( r3 @ SV443 @ SY778 )
| ( SY777 @ SY778 ) )
| ! [SY779: $i] :
( ~ ( r3 @ SV443 @ SY779 )
| ! [SX3: $i] :
( ~ ( r3 @ SY779 @ SX3 )
| ( SY777 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2036,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ~ ! [SY781: $i] :
( ~ ( r2 @ SV426 @ SY781 )
| ( SV444 @ SY781 ) )
| ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2037,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ~ ! [SY784: $i] :
( ~ ( r3 @ SV427 @ SY784 )
| ( SV445 @ SY784 ) )
| ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2038,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ~ ! [SY787: $i] :
( ~ ( r1 @ SV428 @ SY787 )
| ( SV446 @ SY787 ) )
| ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2039,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ~ ! [SY790: $i] :
( ~ ( r2 @ SV429 @ SY790 )
| ( SV447 @ SY790 ) )
| ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2040,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ~ ! [SY793: $i] :
( ~ ( r3 @ SV430 @ SY793 )
| ( SV448 @ SY793 ) )
| ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2041,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ~ ! [SY795: $i] :
( ~ ( r1 @ SV431 @ SY795 )
| ( SV449 @ SY795 ) )
| ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2042,plain,
! [SV450: $i > $o,SV432: $i] :
( ( ~ ~ ! [SY798: $i] :
( ~ ( r3 @ SV432 @ SY798 )
| ( SV450 @ SY798 ) )
| ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2043,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ~ ! [SY801: $i] :
( ~ ( r2 @ SV433 @ SY801 )
| ( SV451 @ SY801 ) )
| ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2044,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ~ ! [SY804: $i] :
( ~ ( r2 @ SV434 @ SY804 )
| ( SV452 @ SY804 ) )
| ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2045,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ~ ! [SY806: $i] :
( ~ ( r3 @ SV435 @ SY806 )
| ( SV453 @ SY806 ) )
| ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2046,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ~ ! [SY809: $i] :
( ~ ( r2 @ SV436 @ SY809 )
| ( SV454 @ SY809 ) )
| ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2047,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ~ ! [SY811: $i] :
( ~ ( r3 @ SV437 @ SY811 )
| ( SV455 @ SY811 ) )
| ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2048,plain,
! [SV456: $i > $o,SV438: $i] :
( ( ~ ~ ! [SY813: $i] :
( ~ ( r1 @ SV438 @ SY813 )
| ( SV456 @ SY813 ) )
| ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2049,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ~ ! [SY816: $i] :
( ~ ( r1 @ SV439 @ SY816 )
| ( SV457 @ SY816 ) )
| ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2050,plain,
! [SV458: $i > $o,SV440: $i] :
( ( ~ ~ ! [SY818: $i] :
( ~ ( r2 @ SV440 @ SY818 )
| ( SV458 @ SY818 ) )
| ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2051,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ~ ! [SY821: $i] :
( ~ ( r1 @ SV441 @ SY821 )
| ( SV459 @ SY821 ) )
| ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2052,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ~ ! [SY824: $i] :
( ~ ( r3 @ SV442 @ SY824 )
| ( SV460 @ SY824 ) )
| ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2053,plain,
( ( ! [SY826: $i > $o] :
( ~ ~ ! [SY827: $i] :
( ~ ( r2 @ sK141_SX0 @ SY827 )
| ( SY826 @ SY827 ) )
| ! [SY828: $i] :
( ~ ( r3 @ sK141_SX0 @ SY828 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY828 @ SX3 )
| ( SY826 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2034]) ).
thf(2054,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ~ ! [SY830: $i] :
( ~ ( r3 @ SV443 @ SY830 )
| ( SV461 @ SY830 ) )
| ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2055,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ( ~ ! [SY781: $i] :
( ~ ( r2 @ SV426 @ SY781 )
| ( SV444 @ SY781 ) ) )
= $true )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2036]) ).
thf(2056,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ( ~ ! [SY784: $i] :
( ~ ( r3 @ SV427 @ SY784 )
| ( SV445 @ SY784 ) ) )
= $true )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2057,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ( ~ ! [SY787: $i] :
( ~ ( r1 @ SV428 @ SY787 )
| ( SV446 @ SY787 ) ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2038]) ).
thf(2058,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ( ~ ! [SY790: $i] :
( ~ ( r2 @ SV429 @ SY790 )
| ( SV447 @ SY790 ) ) )
= $true )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2039]) ).
thf(2059,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ( ~ ! [SY793: $i] :
( ~ ( r3 @ SV430 @ SY793 )
| ( SV448 @ SY793 ) ) )
= $true )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2040]) ).
thf(2060,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ( ~ ! [SY795: $i] :
( ~ ( r1 @ SV431 @ SY795 )
| ( SV449 @ SY795 ) ) )
= $true )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2041]) ).
thf(2061,plain,
! [SV450: $i > $o,SV432: $i] :
( ( ( ~ ~ ! [SY798: $i] :
( ~ ( r3 @ SV432 @ SY798 )
| ( SV450 @ SY798 ) ) )
= $true )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2042]) ).
thf(2062,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ( ~ ! [SY801: $i] :
( ~ ( r2 @ SV433 @ SY801 )
| ( SV451 @ SY801 ) ) )
= $true )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2043]) ).
thf(2063,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ( ~ ! [SY804: $i] :
( ~ ( r2 @ SV434 @ SY804 )
| ( SV452 @ SY804 ) ) )
= $true )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2044]) ).
thf(2064,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ( ~ ! [SY806: $i] :
( ~ ( r3 @ SV435 @ SY806 )
| ( SV453 @ SY806 ) ) )
= $true )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2045]) ).
thf(2065,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ! [SY809: $i] :
( ~ ( r2 @ SV436 @ SY809 )
| ( SV454 @ SY809 ) ) )
= $true )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2066,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ( ~ ! [SY811: $i] :
( ~ ( r3 @ SV437 @ SY811 )
| ( SV455 @ SY811 ) ) )
= $true )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2047]) ).
thf(2067,plain,
! [SV456: $i > $o,SV438: $i] :
( ( ( ~ ~ ! [SY813: $i] :
( ~ ( r1 @ SV438 @ SY813 )
| ( SV456 @ SY813 ) ) )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2068,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ! [SY816: $i] :
( ~ ( r1 @ SV439 @ SY816 )
| ( SV457 @ SY816 ) ) )
= $true )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2069,plain,
! [SV458: $i > $o,SV440: $i] :
( ( ( ~ ~ ! [SY818: $i] :
( ~ ( r2 @ SV440 @ SY818 )
| ( SV458 @ SY818 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2070,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ( ~ ! [SY821: $i] :
( ~ ( r1 @ SV441 @ SY821 )
| ( SV459 @ SY821 ) ) )
= $true )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2051]) ).
thf(2071,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ! [SY824: $i] :
( ~ ( r3 @ SV442 @ SY824 )
| ( SV460 @ SY824 ) ) )
= $true )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2072,plain,
( ( ~ ~ ! [SY833: $i] :
( ~ ( r2 @ sK141_SX0 @ SY833 )
| ( sK142_SY826 @ SY833 ) )
| ! [SY834: $i] :
( ~ ( r3 @ sK141_SX0 @ SY834 )
| ~ ! [SY835: $i] :
( ~ ( r2 @ SY834 @ SY835 )
| ( sK142_SY826 @ SY835 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2053]) ).
thf(2073,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ( ~ ! [SY830: $i] :
( ~ ( r3 @ SV443 @ SY830 )
| ( SV461 @ SY830 ) ) )
= $true )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2054]) ).
thf(2074,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ( ! [SY781: $i] :
( ~ ( r2 @ SV426 @ SY781 )
| ( SV444 @ SY781 ) ) )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2075,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ( ! [SY784: $i] :
( ~ ( r3 @ SV427 @ SY784 )
| ( SV445 @ SY784 ) ) )
= $false )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2076,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ( ! [SY787: $i] :
( ~ ( r1 @ SV428 @ SY787 )
| ( SV446 @ SY787 ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2077,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ( ! [SY790: $i] :
( ~ ( r2 @ SV429 @ SY790 )
| ( SV447 @ SY790 ) ) )
= $false )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2078,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ( ! [SY793: $i] :
( ~ ( r3 @ SV430 @ SY793 )
| ( SV448 @ SY793 ) ) )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2059]) ).
thf(2079,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ( ! [SY795: $i] :
( ~ ( r1 @ SV431 @ SY795 )
| ( SV449 @ SY795 ) ) )
= $false )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2060]) ).
thf(2080,plain,
! [SV450: $i > $o,SV432: $i] :
( ( ( ~ ! [SY798: $i] :
( ~ ( r3 @ SV432 @ SY798 )
| ( SV450 @ SY798 ) ) )
= $false )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2081,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ( ! [SY801: $i] :
( ~ ( r2 @ SV433 @ SY801 )
| ( SV451 @ SY801 ) ) )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2082,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ( ! [SY804: $i] :
( ~ ( r2 @ SV434 @ SY804 )
| ( SV452 @ SY804 ) ) )
= $false )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2063]) ).
thf(2083,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ( ! [SY806: $i] :
( ~ ( r3 @ SV435 @ SY806 )
| ( SV453 @ SY806 ) ) )
= $false )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2064]) ).
thf(2084,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ! [SY809: $i] :
( ~ ( r2 @ SV436 @ SY809 )
| ( SV454 @ SY809 ) ) )
= $false )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2065]) ).
thf(2085,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ( ! [SY811: $i] :
( ~ ( r3 @ SV437 @ SY811 )
| ( SV455 @ SY811 ) ) )
= $false )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2066]) ).
thf(2086,plain,
! [SV456: $i > $o,SV438: $i] :
( ( ( ~ ! [SY813: $i] :
( ~ ( r1 @ SV438 @ SY813 )
| ( SV456 @ SY813 ) ) )
= $false )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2087,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ! [SY816: $i] :
( ~ ( r1 @ SV439 @ SY816 )
| ( SV457 @ SY816 ) ) )
= $false )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2088,plain,
! [SV458: $i > $o,SV440: $i] :
( ( ( ~ ! [SY818: $i] :
( ~ ( r2 @ SV440 @ SY818 )
| ( SV458 @ SY818 ) ) )
= $false )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2089,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ( ! [SY821: $i] :
( ~ ( r1 @ SV441 @ SY821 )
| ( SV459 @ SY821 ) ) )
= $false )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2090,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ! [SY824: $i] :
( ~ ( r3 @ SV442 @ SY824 )
| ( SV460 @ SY824 ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2071]) ).
thf(2091,plain,
( ( ~ ~ ! [SY833: $i] :
( ~ ( r2 @ sK141_SX0 @ SY833 )
| ( sK142_SY826 @ SY833 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2072]) ).
thf(2092,plain,
( ( ! [SY834: $i] :
( ~ ( r3 @ sK141_SX0 @ SY834 )
| ~ ! [SY835: $i] :
( ~ ( r2 @ SY834 @ SY835 )
| ( sK142_SY826 @ SY835 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2072]) ).
thf(2093,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ( ! [SY830: $i] :
( ~ ( r3 @ SV443 @ SY830 )
| ( SV461 @ SY830 ) ) )
= $false )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2073]) ).
thf(2094,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ( ~ ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
| ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) ) )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2074]) ).
thf(2095,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ( ~ ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
| ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) ) )
= $false )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2075]) ).
thf(2096,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ( ~ ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
| ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2076]) ).
thf(2097,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ( ~ ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
| ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) ) )
= $false )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2077]) ).
thf(2098,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ( ~ ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) )
| ( SV448 @ ( sK147_SY793 @ SV448 @ SV430 ) ) )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2078]) ).
thf(2099,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
| ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) ) )
= $false )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2079]) ).
thf(2100,plain,
! [SV450: $i > $o,SV432: $i] :
( ( ( ! [SY798: $i] :
( ~ ( r3 @ SV432 @ SY798 )
| ( SV450 @ SY798 ) ) )
= $true )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2080]) ).
thf(2101,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
| ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) ) )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2081]) ).
thf(2102,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ( ~ ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) )
| ( SV452 @ ( sK150_SY804 @ SV452 @ SV434 ) ) )
= $false )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2082]) ).
thf(2103,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ( ~ ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
| ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) ) )
= $false )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2083]) ).
thf(2104,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
| ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) ) )
= $false )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2084]) ).
thf(2105,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ( ~ ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) )
| ( SV455 @ ( sK153_SY811 @ SV455 @ SV437 ) ) )
= $false )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2085]) ).
thf(2106,plain,
! [SV456: $i > $o,SV438: $i] :
( ( ( ! [SY813: $i] :
( ~ ( r1 @ SV438 @ SY813 )
| ( SV456 @ SY813 ) ) )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2086]) ).
thf(2107,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
| ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) ) )
= $false )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2087]) ).
thf(2108,plain,
! [SV458: $i > $o,SV440: $i] :
( ( ( ! [SY818: $i] :
( ~ ( r2 @ SV440 @ SY818 )
| ( SV458 @ SY818 ) ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2109,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ( ~ ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
| ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) ) )
= $false )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2089]) ).
thf(2110,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
| ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2090]) ).
thf(2111,plain,
( ( ~ ! [SY833: $i] :
( ~ ( r2 @ sK141_SX0 @ SY833 )
| ( sK142_SY826 @ SY833 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2112,plain,
( ( ~ ( r3 @ sK141_SX0 @ sK157_SY834 )
| ~ ! [SY836: $i] :
( ~ ( r2 @ sK157_SY834 @ SY836 )
| ( sK142_SY826 @ SY836 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2092]) ).
thf(2113,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
| ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) ) )
= $false )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2093]) ).
thf(2114,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ( ~ ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) ) )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2115,plain,
! [SV426: $i,SV444: $i > $o] :
( ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2094]) ).
thf(2116,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ( ~ ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) ) )
= $false )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2095]) ).
thf(2117,plain,
! [SV427: $i,SV445: $i > $o] :
( ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2095]) ).
thf(2118,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ( ~ ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2096]) ).
thf(2119,plain,
! [SV428: $i,SV446: $i > $o] :
( ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2096]) ).
thf(2120,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ( ~ ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) ) )
= $false )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2121,plain,
! [SV429: $i,SV447: $i > $o] :
( ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2097]) ).
thf(2122,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ( ~ ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) ) )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2123,plain,
! [SV430: $i,SV448: $i > $o] :
( ( ( SV448 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $false )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2098]) ).
thf(2124,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) ) )
= $false )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2125,plain,
! [SV431: $i,SV449: $i > $o] :
( ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2099]) ).
thf(2126,plain,
! [SV450: $i > $o,SV462: $i,SV432: $i] :
( ( ( ~ ( r3 @ SV432 @ SV462 )
| ( SV450 @ SV462 ) )
= $true )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2127,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) ) )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2128,plain,
! [SV433: $i,SV451: $i > $o] :
( ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2129,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ( ~ ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) ) )
= $false )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2130,plain,
! [SV434: $i,SV452: $i > $o] :
( ( ( SV452 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $false )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2102]) ).
thf(2131,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ( ~ ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) ) )
= $false )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2132,plain,
! [SV435: $i,SV453: $i > $o] :
( ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2133,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) ) )
= $false )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2134,plain,
! [SV436: $i,SV454: $i > $o] :
( ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2104]) ).
thf(2135,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ( ~ ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) ) )
= $false )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2136,plain,
! [SV437: $i,SV455: $i > $o] :
( ( ( SV455 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $false )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2105]) ).
thf(2137,plain,
! [SV456: $i > $o,SV463: $i,SV438: $i] :
( ( ( ~ ( r1 @ SV438 @ SV463 )
| ( SV456 @ SV463 ) )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2138,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) ) )
= $false )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2139,plain,
! [SV439: $i,SV457: $i > $o] :
( ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2107]) ).
thf(2140,plain,
! [SV458: $i > $o,SV464: $i,SV440: $i] :
( ( ( ~ ( r2 @ SV440 @ SV464 )
| ( SV458 @ SV464 ) )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2141,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ( ~ ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) ) )
= $false )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2109]) ).
thf(2142,plain,
! [SV441: $i,SV459: $i > $o] :
( ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2109]) ).
thf(2143,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) ) )
= $false )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2144,plain,
! [SV442: $i,SV460: $i > $o] :
( ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2110]) ).
thf(2145,plain,
( ( ! [SY833: $i] :
( ~ ( r2 @ sK141_SX0 @ SY833 )
| ( sK142_SY826 @ SY833 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2111]) ).
thf(2146,plain,
( ( ~ ( r3 @ sK141_SX0 @ sK157_SY834 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2147,plain,
( ( ~ ! [SY836: $i] :
( ~ ( r2 @ sK157_SY834 @ SY836 )
| ( sK142_SY826 @ SY836 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2148,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) ) )
= $false )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2149,plain,
! [SV443: $i,SV461: $i > $o] :
( ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2113]) ).
thf(2150,plain,
! [SV444: $i > $o,SV426: $i] :
( ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true )
| ( ( ! [SY782: $i] :
( ~ ( r3 @ SV426 @ SY782 )
| ! [SY783: $i] :
( ~ ( r2 @ SY782 @ SY783 )
| ( SV444 @ SY783 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2114]) ).
thf(2151,plain,
! [SV444: $i > $o,SV465: $i,SV426: $i] :
( ( ( ~ ( r3 @ SV426 @ SV465 )
| ! [SY837: $i] :
( ~ ( r2 @ SV465 @ SY837 )
| ( SV444 @ SY837 ) ) )
= $true )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2152,plain,
! [SV445: $i > $o,SV427: $i] :
( ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true )
| ( ( ! [SY785: $i] :
( ~ ( r1 @ SV427 @ SY785 )
| ! [SY786: $i] :
( ~ ( r3 @ SY785 @ SY786 )
| ( SV445 @ SY786 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2153,plain,
! [SV445: $i > $o,SV466: $i,SV427: $i] :
( ( ( ~ ( r1 @ SV427 @ SV466 )
| ! [SY838: $i] :
( ~ ( r3 @ SV466 @ SY838 )
| ( SV445 @ SY838 ) ) )
= $true )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2154,plain,
! [SV446: $i > $o,SV428: $i] :
( ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true )
| ( ( ! [SY788: $i] :
( ~ ( r2 @ SV428 @ SY788 )
| ! [SY789: $i] :
( ~ ( r1 @ SY788 @ SY789 )
| ( SV446 @ SY789 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2118]) ).
thf(2155,plain,
! [SV446: $i > $o,SV467: $i,SV428: $i] :
( ( ( ~ ( r2 @ SV428 @ SV467 )
| ! [SY839: $i] :
( ~ ( r1 @ SV467 @ SY839 )
| ( SV446 @ SY839 ) ) )
= $true )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2156,plain,
! [SV447: $i > $o,SV429: $i] :
( ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true )
| ( ( ! [SY791: $i] :
( ~ ( r1 @ SV429 @ SY791 )
| ! [SY792: $i] :
( ~ ( r2 @ SY791 @ SY792 )
| ( SV447 @ SY792 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2157,plain,
! [SV447: $i > $o,SV468: $i,SV429: $i] :
( ( ( ~ ( r1 @ SV429 @ SV468 )
| ! [SY840: $i] :
( ~ ( r2 @ SV468 @ SY840 )
| ( SV447 @ SY840 ) ) )
= $true )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2158,plain,
! [SV448: $i > $o,SV430: $i] :
( ( ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $true )
| ( ( ! [SY794: $i] :
( ~ ( r1 @ SV430 @ SY794 )
| ( SV448 @ SY794 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2122]) ).
thf(2159,plain,
! [SV448: $i > $o,SV469: $i,SV430: $i] :
( ( ( ~ ( r1 @ SV430 @ SV469 )
| ( SV448 @ SV469 ) )
= $true )
| ( ( SV448 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2160,plain,
! [SV449: $i > $o,SV431: $i] :
( ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true )
| ( ( ! [SY796: $i] :
( ~ ( r1 @ SV431 @ SY796 )
| ! [SY797: $i] :
( ~ ( r1 @ SY796 @ SY797 )
| ( SV449 @ SY797 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2124]) ).
thf(2161,plain,
! [SV449: $i > $o,SV470: $i,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ SV470 )
| ! [SY841: $i] :
( ~ ( r1 @ SV470 @ SY841 )
| ( SV449 @ SY841 ) ) )
= $true )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2162,plain,
! [SV450: $i > $o,SV462: $i,SV432: $i] :
( ( ( ~ ( r3 @ SV432 @ SV462 ) )
= $true )
| ( ( SV450 @ SV462 )
= $true )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2126]) ).
thf(2163,plain,
! [SV451: $i > $o,SV433: $i] :
( ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true )
| ( ( ! [SY802: $i] :
( ~ ( r2 @ SV433 @ SY802 )
| ! [SY803: $i] :
( ~ ( r2 @ SY802 @ SY803 )
| ( SV451 @ SY803 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2127]) ).
thf(2164,plain,
! [SV451: $i > $o,SV471: $i,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ SV471 )
| ! [SY842: $i] :
( ~ ( r2 @ SV471 @ SY842 )
| ( SV451 @ SY842 ) ) )
= $true )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2165,plain,
! [SV452: $i > $o,SV434: $i] :
( ( ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $true )
| ( ( ! [SY805: $i] :
( ~ ( r1 @ SV434 @ SY805 )
| ( SV452 @ SY805 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2166,plain,
! [SV452: $i > $o,SV472: $i,SV434: $i] :
( ( ( ~ ( r1 @ SV434 @ SV472 )
| ( SV452 @ SV472 ) )
= $true )
| ( ( SV452 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2167,plain,
! [SV453: $i > $o,SV435: $i] :
( ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true )
| ( ( ! [SY807: $i] :
( ~ ( r2 @ SV435 @ SY807 )
| ! [SY808: $i] :
( ~ ( r3 @ SY807 @ SY808 )
| ( SV453 @ SY808 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2131]) ).
thf(2168,plain,
! [SV453: $i > $o,SV473: $i,SV435: $i] :
( ( ( ~ ( r2 @ SV435 @ SV473 )
| ! [SY843: $i] :
( ~ ( r3 @ SV473 @ SY843 )
| ( SV453 @ SY843 ) ) )
= $true )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2169,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true )
| ( ( ~ ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2170,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $false )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2134]) ).
thf(2171,plain,
! [SV455: $i > $o,SV437: $i] :
( ( ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $true )
| ( ( ! [SY812: $i] :
( ~ ( r2 @ SV437 @ SY812 )
| ( SV455 @ SY812 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2172,plain,
! [SV455: $i > $o,SV474: $i,SV437: $i] :
( ( ( ~ ( r2 @ SV437 @ SV474 )
| ( SV455 @ SV474 ) )
= $true )
| ( ( SV455 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2173,plain,
! [SV456: $i > $o,SV463: $i,SV438: $i] :
( ( ( ~ ( r1 @ SV438 @ SV463 ) )
= $true )
| ( ( SV456 @ SV463 )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2137]) ).
thf(2174,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true )
| ( ( ~ ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2175,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $false )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2139]) ).
thf(2176,plain,
! [SV458: $i > $o,SV464: $i,SV440: $i] :
( ( ( ~ ( r2 @ SV440 @ SV464 ) )
= $true )
| ( ( SV458 @ SV464 )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2140]) ).
thf(2177,plain,
! [SV459: $i > $o,SV441: $i] :
( ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true )
| ( ( ! [SY822: $i] :
( ~ ( r3 @ SV441 @ SY822 )
| ! [SY823: $i] :
( ~ ( r1 @ SY822 @ SY823 )
| ( SV459 @ SY823 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2178,plain,
! [SV459: $i > $o,SV475: $i,SV441: $i] :
( ( ( ~ ( r3 @ SV441 @ SV475 )
| ! [SY844: $i] :
( ~ ( r1 @ SV475 @ SY844 )
| ( SV459 @ SY844 ) ) )
= $true )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2179,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true )
| ( ( ~ ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2180,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $false )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2144]) ).
thf(2181,plain,
( ( ~ ( r2 @ sK141_SX0 @ sK159_SY833 )
| ( sK142_SY826 @ sK159_SY833 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2145]) ).
thf(2182,plain,
( ( r3 @ sK141_SX0 @ sK157_SY834 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2146]) ).
thf(2183,plain,
( ( ! [SY836: $i] :
( ~ ( r2 @ sK157_SY834 @ SY836 )
| ( sK142_SY826 @ SY836 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2147]) ).
thf(2184,plain,
! [SV461: $i > $o,SV443: $i] :
( ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true )
| ( ( ! [SY831: $i] :
( ~ ( r3 @ SV443 @ SY831 )
| ! [SY832: $i] :
( ~ ( r3 @ SY831 @ SY832 )
| ( SV461 @ SY832 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2148]) ).
thf(2185,plain,
! [SV461: $i > $o,SV476: $i,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ SV476 )
| ! [SY845: $i] :
( ~ ( r3 @ SV476 @ SY845 )
| ( SV461 @ SY845 ) ) )
= $true )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2149]) ).
thf(2186,plain,
! [SV444: $i > $o,SV477: $i,SV426: $i] :
( ( ( ~ ( r3 @ SV426 @ SV477 )
| ! [SY846: $i] :
( ~ ( r2 @ SV477 @ SY846 )
| ( SV444 @ SY846 ) ) )
= $true )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2187,plain,
! [SV444: $i > $o,SV465: $i,SV426: $i] :
( ( ( ~ ( r3 @ SV426 @ SV465 ) )
= $true )
| ( ( ! [SY837: $i] :
( ~ ( r2 @ SV465 @ SY837 )
| ( SV444 @ SY837 ) ) )
= $true )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2151]) ).
thf(2188,plain,
! [SV445: $i > $o,SV478: $i,SV427: $i] :
( ( ( ~ ( r1 @ SV427 @ SV478 )
| ! [SY847: $i] :
( ~ ( r3 @ SV478 @ SY847 )
| ( SV445 @ SY847 ) ) )
= $true )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2189,plain,
! [SV445: $i > $o,SV466: $i,SV427: $i] :
( ( ( ~ ( r1 @ SV427 @ SV466 ) )
= $true )
| ( ( ! [SY838: $i] :
( ~ ( r3 @ SV466 @ SY838 )
| ( SV445 @ SY838 ) ) )
= $true )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2153]) ).
thf(2190,plain,
! [SV446: $i > $o,SV479: $i,SV428: $i] :
( ( ( ~ ( r2 @ SV428 @ SV479 )
| ! [SY848: $i] :
( ~ ( r1 @ SV479 @ SY848 )
| ( SV446 @ SY848 ) ) )
= $true )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2191,plain,
! [SV446: $i > $o,SV467: $i,SV428: $i] :
( ( ( ~ ( r2 @ SV428 @ SV467 ) )
= $true )
| ( ( ! [SY839: $i] :
( ~ ( r1 @ SV467 @ SY839 )
| ( SV446 @ SY839 ) ) )
= $true )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2155]) ).
thf(2192,plain,
! [SV447: $i > $o,SV480: $i,SV429: $i] :
( ( ( ~ ( r1 @ SV429 @ SV480 )
| ! [SY849: $i] :
( ~ ( r2 @ SV480 @ SY849 )
| ( SV447 @ SY849 ) ) )
= $true )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2193,plain,
! [SV447: $i > $o,SV468: $i,SV429: $i] :
( ( ( ~ ( r1 @ SV429 @ SV468 ) )
= $true )
| ( ( ! [SY840: $i] :
( ~ ( r2 @ SV468 @ SY840 )
| ( SV447 @ SY840 ) ) )
= $true )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2157]) ).
thf(2194,plain,
! [SV448: $i > $o,SV481: $i,SV430: $i] :
( ( ( ~ ( r1 @ SV430 @ SV481 )
| ( SV448 @ SV481 ) )
= $true )
| ( ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2158]) ).
thf(2195,plain,
! [SV448: $i > $o,SV469: $i,SV430: $i] :
( ( ( ~ ( r1 @ SV430 @ SV469 ) )
= $true )
| ( ( SV448 @ SV469 )
= $true )
| ( ( SV448 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2159]) ).
thf(2196,plain,
! [SV449: $i > $o,SV482: $i,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ SV482 )
| ! [SY850: $i] :
( ~ ( r1 @ SV482 @ SY850 )
| ( SV449 @ SY850 ) ) )
= $true )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2197,plain,
! [SV449: $i > $o,SV470: $i,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ SV470 ) )
= $true )
| ( ( ! [SY841: $i] :
( ~ ( r1 @ SV470 @ SY841 )
| ( SV449 @ SY841 ) ) )
= $true )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2161]) ).
thf(2198,plain,
! [SV450: $i > $o,SV462: $i,SV432: $i] :
( ( ( r3 @ SV432 @ SV462 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( ! [SY799: $i] :
( ~ ( r3 @ SV432 @ SY799 )
| ~ ! [SY800: $i] :
( ~ ( r3 @ SY799 @ SY800 )
| ( SV450 @ SY800 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2199,plain,
! [SV451: $i > $o,SV483: $i,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ SV483 )
| ! [SY851: $i] :
( ~ ( r2 @ SV483 @ SY851 )
| ( SV451 @ SY851 ) ) )
= $true )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2200,plain,
! [SV451: $i > $o,SV471: $i,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ SV471 ) )
= $true )
| ( ( ! [SY842: $i] :
( ~ ( r2 @ SV471 @ SY842 )
| ( SV451 @ SY842 ) ) )
= $true )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2164]) ).
thf(2201,plain,
! [SV452: $i > $o,SV484: $i,SV434: $i] :
( ( ( ~ ( r1 @ SV434 @ SV484 )
| ( SV452 @ SV484 ) )
= $true )
| ( ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2202,plain,
! [SV452: $i > $o,SV472: $i,SV434: $i] :
( ( ( ~ ( r1 @ SV434 @ SV472 ) )
= $true )
| ( ( SV452 @ SV472 )
= $true )
| ( ( SV452 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2203,plain,
! [SV453: $i > $o,SV485: $i,SV435: $i] :
( ( ( ~ ( r2 @ SV435 @ SV485 )
| ! [SY852: $i] :
( ~ ( r3 @ SV485 @ SY852 )
| ( SV453 @ SY852 ) ) )
= $true )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2204,plain,
! [SV453: $i > $o,SV473: $i,SV435: $i] :
( ( ( ~ ( r2 @ SV435 @ SV473 ) )
= $true )
| ( ( ! [SY843: $i] :
( ~ ( r3 @ SV473 @ SY843 )
| ( SV453 @ SY843 ) ) )
= $true )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2168]) ).
thf(2205,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ! [SY810: $i] :
( ~ ( r2 @ SV436 @ SY810 )
| ~ ( SV454 @ SY810 ) ) )
= $false )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2206,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK160_SY810 @ SV454 @ SV436 ) )
| ~ ( SV454 @ ( sK160_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2170]) ).
thf(2207,plain,
! [SV455: $i > $o,SV486: $i,SV437: $i] :
( ( ( ~ ( r2 @ SV437 @ SV486 )
| ( SV455 @ SV486 ) )
= $true )
| ( ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2208,plain,
! [SV455: $i > $o,SV474: $i,SV437: $i] :
( ( ( ~ ( r2 @ SV437 @ SV474 ) )
= $true )
| ( ( SV455 @ SV474 )
= $true )
| ( ( SV455 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2172]) ).
thf(2209,plain,
! [SV456: $i > $o,SV463: $i,SV438: $i] :
( ( ( r1 @ SV438 @ SV463 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( ! [SY814: $i] :
( ~ ( r1 @ SV438 @ SY814 )
| ~ ! [SY815: $i] :
( ~ ( r1 @ SY814 @ SY815 )
| ( SV456 @ SY815 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2173]) ).
thf(2210,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ! [SY817: $i] :
( ~ ( r1 @ SV439 @ SY817 )
| ~ ( SV457 @ SY817 ) ) )
= $false )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2211,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK161_SY817 @ SV457 @ SV439 ) )
| ~ ( SV457 @ ( sK161_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2175]) ).
thf(2212,plain,
! [SV458: $i > $o,SV464: $i,SV440: $i] :
( ( ( r2 @ SV440 @ SV464 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( ! [SY819: $i] :
( ~ ( r2 @ SV440 @ SY819 )
| ~ ! [SY820: $i] :
( ~ ( r2 @ SY819 @ SY820 )
| ( SV458 @ SY820 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2213,plain,
! [SV459: $i > $o,SV487: $i,SV441: $i] :
( ( ( ~ ( r3 @ SV441 @ SV487 )
| ! [SY853: $i] :
( ~ ( r1 @ SV487 @ SY853 )
| ( SV459 @ SY853 ) ) )
= $true )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2214,plain,
! [SV459: $i > $o,SV475: $i,SV441: $i] :
( ( ( ~ ( r3 @ SV441 @ SV475 ) )
= $true )
| ( ( ! [SY844: $i] :
( ~ ( r1 @ SV475 @ SY844 )
| ( SV459 @ SY844 ) ) )
= $true )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2178]) ).
thf(2215,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ! [SY825: $i] :
( ~ ( r3 @ SV442 @ SY825 )
| ~ ( SV460 @ SY825 ) ) )
= $false )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2179]) ).
thf(2216,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK162_SY825 @ SV460 @ SV442 ) )
| ~ ( SV460 @ ( sK162_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2180]) ).
thf(2217,plain,
( ( ~ ( r2 @ sK141_SX0 @ sK159_SY833 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2218,plain,
( ( sK142_SY826 @ sK159_SY833 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2219,plain,
! [SV488: $i] :
( ( ~ ( r2 @ sK157_SY834 @ SV488 )
| ( sK142_SY826 @ SV488 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2220,plain,
! [SV461: $i > $o,SV489: $i,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ SV489 )
| ! [SY854: $i] :
( ~ ( r3 @ SV489 @ SY854 )
| ( SV461 @ SY854 ) ) )
= $true )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2221,plain,
! [SV461: $i > $o,SV476: $i,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ SV476 ) )
= $true )
| ( ( ! [SY845: $i] :
( ~ ( r3 @ SV476 @ SY845 )
| ( SV461 @ SY845 ) ) )
= $true )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2222,plain,
! [SV444: $i > $o,SV477: $i,SV426: $i] :
( ( ( ~ ( r3 @ SV426 @ SV477 ) )
= $true )
| ( ( ! [SY846: $i] :
( ~ ( r2 @ SV477 @ SY846 )
| ( SV444 @ SY846 ) ) )
= $true )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2186]) ).
thf(2223,plain,
! [SV444: $i > $o,SV465: $i,SV426: $i] :
( ( ( r3 @ SV426 @ SV465 )
= $false )
| ( ( ! [SY837: $i] :
( ~ ( r2 @ SV465 @ SY837 )
| ( SV444 @ SY837 ) ) )
= $true )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2187]) ).
thf(2224,plain,
! [SV445: $i > $o,SV478: $i,SV427: $i] :
( ( ( ~ ( r1 @ SV427 @ SV478 ) )
= $true )
| ( ( ! [SY847: $i] :
( ~ ( r3 @ SV478 @ SY847 )
| ( SV445 @ SY847 ) ) )
= $true )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2188]) ).
thf(2225,plain,
! [SV445: $i > $o,SV466: $i,SV427: $i] :
( ( ( r1 @ SV427 @ SV466 )
= $false )
| ( ( ! [SY838: $i] :
( ~ ( r3 @ SV466 @ SY838 )
| ( SV445 @ SY838 ) ) )
= $true )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2226,plain,
! [SV446: $i > $o,SV479: $i,SV428: $i] :
( ( ( ~ ( r2 @ SV428 @ SV479 ) )
= $true )
| ( ( ! [SY848: $i] :
( ~ ( r1 @ SV479 @ SY848 )
| ( SV446 @ SY848 ) ) )
= $true )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2190]) ).
thf(2227,plain,
! [SV446: $i > $o,SV467: $i,SV428: $i] :
( ( ( r2 @ SV428 @ SV467 )
= $false )
| ( ( ! [SY839: $i] :
( ~ ( r1 @ SV467 @ SY839 )
| ( SV446 @ SY839 ) ) )
= $true )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2191]) ).
thf(2228,plain,
! [SV447: $i > $o,SV480: $i,SV429: $i] :
( ( ( ~ ( r1 @ SV429 @ SV480 ) )
= $true )
| ( ( ! [SY849: $i] :
( ~ ( r2 @ SV480 @ SY849 )
| ( SV447 @ SY849 ) ) )
= $true )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2192]) ).
thf(2229,plain,
! [SV447: $i > $o,SV468: $i,SV429: $i] :
( ( ( r1 @ SV429 @ SV468 )
= $false )
| ( ( ! [SY840: $i] :
( ~ ( r2 @ SV468 @ SY840 )
| ( SV447 @ SY840 ) ) )
= $true )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2193]) ).
thf(2230,plain,
! [SV448: $i > $o,SV481: $i,SV430: $i] :
( ( ( ~ ( r1 @ SV430 @ SV481 ) )
= $true )
| ( ( SV448 @ SV481 )
= $true )
| ( ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2194]) ).
thf(2231,plain,
! [SV448: $i > $o,SV469: $i,SV430: $i] :
( ( ( r1 @ SV430 @ SV469 )
= $false )
| ( ( SV448 @ SV469 )
= $true )
| ( ( SV448 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2232,plain,
! [SV449: $i > $o,SV482: $i,SV431: $i] :
( ( ( ~ ( r1 @ SV431 @ SV482 ) )
= $true )
| ( ( ! [SY850: $i] :
( ~ ( r1 @ SV482 @ SY850 )
| ( SV449 @ SY850 ) ) )
= $true )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2196]) ).
thf(2233,plain,
! [SV449: $i > $o,SV470: $i,SV431: $i] :
( ( ( r1 @ SV431 @ SV470 )
= $false )
| ( ( ! [SY841: $i] :
( ~ ( r1 @ SV470 @ SY841 )
| ( SV449 @ SY841 ) ) )
= $true )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2234,plain,
! [SV462: $i,SV450: $i > $o,SV490: $i,SV432: $i] :
( ( ( ~ ( r3 @ SV432 @ SV490 )
| ~ ! [SY855: $i] :
( ~ ( r3 @ SV490 @ SY855 )
| ( SV450 @ SY855 ) ) )
= $true )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2235,plain,
! [SV451: $i > $o,SV483: $i,SV433: $i] :
( ( ( ~ ( r2 @ SV433 @ SV483 ) )
= $true )
| ( ( ! [SY851: $i] :
( ~ ( r2 @ SV483 @ SY851 )
| ( SV451 @ SY851 ) ) )
= $true )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2199]) ).
thf(2236,plain,
! [SV451: $i > $o,SV471: $i,SV433: $i] :
( ( ( r2 @ SV433 @ SV471 )
= $false )
| ( ( ! [SY842: $i] :
( ~ ( r2 @ SV471 @ SY842 )
| ( SV451 @ SY842 ) ) )
= $true )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2200]) ).
thf(2237,plain,
! [SV452: $i > $o,SV484: $i,SV434: $i] :
( ( ( ~ ( r1 @ SV434 @ SV484 ) )
= $true )
| ( ( SV452 @ SV484 )
= $true )
| ( ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2201]) ).
thf(2238,plain,
! [SV452: $i > $o,SV472: $i,SV434: $i] :
( ( ( r1 @ SV434 @ SV472 )
= $false )
| ( ( SV452 @ SV472 )
= $true )
| ( ( SV452 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2239,plain,
! [SV453: $i > $o,SV485: $i,SV435: $i] :
( ( ( ~ ( r2 @ SV435 @ SV485 ) )
= $true )
| ( ( ! [SY852: $i] :
( ~ ( r3 @ SV485 @ SY852 )
| ( SV453 @ SY852 ) ) )
= $true )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2203]) ).
thf(2240,plain,
! [SV453: $i > $o,SV473: $i,SV435: $i] :
( ( ( r2 @ SV435 @ SV473 )
= $false )
| ( ( ! [SY843: $i] :
( ~ ( r3 @ SV473 @ SY843 )
| ( SV453 @ SY843 ) ) )
= $true )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2204]) ).
thf(2241,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK163_SY810 @ SV454 @ SV436 ) )
| ~ ( SV454 @ ( sK163_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2205]) ).
thf(2242,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK160_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2243,plain,
! [SV436: $i,SV454: $i > $o] :
( ( ( ~ ( SV454 @ ( sK160_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2244,plain,
! [SV455: $i > $o,SV486: $i,SV437: $i] :
( ( ( ~ ( r2 @ SV437 @ SV486 ) )
= $true )
| ( ( SV455 @ SV486 )
= $true )
| ( ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2245,plain,
! [SV455: $i > $o,SV474: $i,SV437: $i] :
( ( ( r2 @ SV437 @ SV474 )
= $false )
| ( ( SV455 @ SV474 )
= $true )
| ( ( SV455 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2208]) ).
thf(2246,plain,
! [SV463: $i,SV456: $i > $o,SV491: $i,SV438: $i] :
( ( ( ~ ( r1 @ SV438 @ SV491 )
| ~ ! [SY856: $i] :
( ~ ( r1 @ SV491 @ SY856 )
| ( SV456 @ SY856 ) ) )
= $true )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2247,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK164_SY817 @ SV457 @ SV439 ) )
| ~ ( SV457 @ ( sK164_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2210]) ).
thf(2248,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK161_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2211]) ).
thf(2249,plain,
! [SV439: $i,SV457: $i > $o] :
( ( ( ~ ( SV457 @ ( sK161_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2211]) ).
thf(2250,plain,
! [SV464: $i,SV458: $i > $o,SV492: $i,SV440: $i] :
( ( ( ~ ( r2 @ SV440 @ SV492 )
| ~ ! [SY857: $i] :
( ~ ( r2 @ SV492 @ SY857 )
| ( SV458 @ SY857 ) ) )
= $true )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2251,plain,
! [SV459: $i > $o,SV487: $i,SV441: $i] :
( ( ( ~ ( r3 @ SV441 @ SV487 ) )
= $true )
| ( ( ! [SY853: $i] :
( ~ ( r1 @ SV487 @ SY853 )
| ( SV459 @ SY853 ) ) )
= $true )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2213]) ).
thf(2252,plain,
! [SV459: $i > $o,SV475: $i,SV441: $i] :
( ( ( r3 @ SV441 @ SV475 )
= $false )
| ( ( ! [SY844: $i] :
( ~ ( r1 @ SV475 @ SY844 )
| ( SV459 @ SY844 ) ) )
= $true )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2214]) ).
thf(2253,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK165_SY825 @ SV460 @ SV442 ) )
| ~ ( SV460 @ ( sK165_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2215]) ).
thf(2254,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK162_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2255,plain,
! [SV442: $i,SV460: $i > $o] :
( ( ( ~ ( SV460 @ ( sK162_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2256,plain,
( ( r2 @ sK141_SX0 @ sK159_SY833 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2217]) ).
thf(2257,plain,
! [SV488: $i] :
( ( ( ~ ( r2 @ sK157_SY834 @ SV488 ) )
= $true )
| ( ( sK142_SY826 @ SV488 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2219]) ).
thf(2258,plain,
! [SV461: $i > $o,SV489: $i,SV443: $i] :
( ( ( ~ ( r3 @ SV443 @ SV489 ) )
= $true )
| ( ( ! [SY854: $i] :
( ~ ( r3 @ SV489 @ SY854 )
| ( SV461 @ SY854 ) ) )
= $true )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2220]) ).
thf(2259,plain,
! [SV461: $i > $o,SV476: $i,SV443: $i] :
( ( ( r3 @ SV443 @ SV476 )
= $false )
| ( ( ! [SY845: $i] :
( ~ ( r3 @ SV476 @ SY845 )
| ( SV461 @ SY845 ) ) )
= $true )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2260,plain,
! [SV444: $i > $o,SV477: $i,SV426: $i] :
( ( ( r3 @ SV426 @ SV477 )
= $false )
| ( ( ! [SY846: $i] :
( ~ ( r2 @ SV477 @ SY846 )
| ( SV444 @ SY846 ) ) )
= $true )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2222]) ).
thf(2261,plain,
! [SV426: $i,SV444: $i > $o,SV493: $i,SV465: $i] :
( ( ( ~ ( r2 @ SV465 @ SV493 )
| ( SV444 @ SV493 ) )
= $true )
| ( ( r3 @ SV426 @ SV465 )
= $false )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2262,plain,
! [SV445: $i > $o,SV478: $i,SV427: $i] :
( ( ( r1 @ SV427 @ SV478 )
= $false )
| ( ( ! [SY847: $i] :
( ~ ( r3 @ SV478 @ SY847 )
| ( SV445 @ SY847 ) ) )
= $true )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2224]) ).
thf(2263,plain,
! [SV427: $i,SV445: $i > $o,SV494: $i,SV466: $i] :
( ( ( ~ ( r3 @ SV466 @ SV494 )
| ( SV445 @ SV494 ) )
= $true )
| ( ( r1 @ SV427 @ SV466 )
= $false )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2264,plain,
! [SV446: $i > $o,SV479: $i,SV428: $i] :
( ( ( r2 @ SV428 @ SV479 )
= $false )
| ( ( ! [SY848: $i] :
( ~ ( r1 @ SV479 @ SY848 )
| ( SV446 @ SY848 ) ) )
= $true )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2226]) ).
thf(2265,plain,
! [SV428: $i,SV446: $i > $o,SV495: $i,SV467: $i] :
( ( ( ~ ( r1 @ SV467 @ SV495 )
| ( SV446 @ SV495 ) )
= $true )
| ( ( r2 @ SV428 @ SV467 )
= $false )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2266,plain,
! [SV447: $i > $o,SV480: $i,SV429: $i] :
( ( ( r1 @ SV429 @ SV480 )
= $false )
| ( ( ! [SY849: $i] :
( ~ ( r2 @ SV480 @ SY849 )
| ( SV447 @ SY849 ) ) )
= $true )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2267,plain,
! [SV429: $i,SV447: $i > $o,SV496: $i,SV468: $i] :
( ( ( ~ ( r2 @ SV468 @ SV496 )
| ( SV447 @ SV496 ) )
= $true )
| ( ( r1 @ SV429 @ SV468 )
= $false )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2268,plain,
! [SV448: $i > $o,SV481: $i,SV430: $i] :
( ( ( r1 @ SV430 @ SV481 )
= $false )
| ( ( SV448 @ SV481 )
= $true )
| ( ( r3 @ SV430 @ ( sK147_SY793 @ SV448 @ SV430 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2230]) ).
thf(2269,plain,
! [SV449: $i > $o,SV482: $i,SV431: $i] :
( ( ( r1 @ SV431 @ SV482 )
= $false )
| ( ( ! [SY850: $i] :
( ~ ( r1 @ SV482 @ SY850 )
| ( SV449 @ SY850 ) ) )
= $true )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2232]) ).
thf(2270,plain,
! [SV431: $i,SV449: $i > $o,SV497: $i,SV470: $i] :
( ( ( ~ ( r1 @ SV470 @ SV497 )
| ( SV449 @ SV497 ) )
= $true )
| ( ( r1 @ SV431 @ SV470 )
= $false )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2271,plain,
! [SV462: $i,SV450: $i > $o,SV490: $i,SV432: $i] :
( ( ( ~ ( r3 @ SV432 @ SV490 ) )
= $true )
| ( ( ~ ! [SY855: $i] :
( ~ ( r3 @ SV490 @ SY855 )
| ( SV450 @ SY855 ) ) )
= $true )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2234]) ).
thf(2272,plain,
! [SV451: $i > $o,SV483: $i,SV433: $i] :
( ( ( r2 @ SV433 @ SV483 )
= $false )
| ( ( ! [SY851: $i] :
( ~ ( r2 @ SV483 @ SY851 )
| ( SV451 @ SY851 ) ) )
= $true )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2235]) ).
thf(2273,plain,
! [SV433: $i,SV451: $i > $o,SV498: $i,SV471: $i] :
( ( ( ~ ( r2 @ SV471 @ SV498 )
| ( SV451 @ SV498 ) )
= $true )
| ( ( r2 @ SV433 @ SV471 )
= $false )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2274,plain,
! [SV452: $i > $o,SV484: $i,SV434: $i] :
( ( ( r1 @ SV434 @ SV484 )
= $false )
| ( ( SV452 @ SV484 )
= $true )
| ( ( r2 @ SV434 @ ( sK150_SY804 @ SV452 @ SV434 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2237]) ).
thf(2275,plain,
! [SV453: $i > $o,SV485: $i,SV435: $i] :
( ( ( r2 @ SV435 @ SV485 )
= $false )
| ( ( ! [SY852: $i] :
( ~ ( r3 @ SV485 @ SY852 )
| ( SV453 @ SY852 ) ) )
= $true )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2239]) ).
thf(2276,plain,
! [SV435: $i,SV453: $i > $o,SV499: $i,SV473: $i] :
( ( ( ~ ( r3 @ SV473 @ SV499 )
| ( SV453 @ SV499 ) )
= $true )
| ( ( r2 @ SV435 @ SV473 )
= $false )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2277,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( ~ ( r2 @ SV436 @ ( sK163_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2278,plain,
! [SV436: $i,SV454: $i > $o] :
( ( ( ~ ( SV454 @ ( sK163_SY810 @ SV454 @ SV436 ) ) )
= $false )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2241]) ).
thf(2279,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( r2 @ SV436 @ ( sK160_SY810 @ SV454 @ SV436 ) )
= $true )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2242]) ).
thf(2280,plain,
! [SV436: $i,SV454: $i > $o] :
( ( ( SV454 @ ( sK160_SY810 @ SV454 @ SV436 ) )
= $true )
| ( ( SV454 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2243]) ).
thf(2281,plain,
! [SV455: $i > $o,SV486: $i,SV437: $i] :
( ( ( r2 @ SV437 @ SV486 )
= $false )
| ( ( SV455 @ SV486 )
= $true )
| ( ( r3 @ SV437 @ ( sK153_SY811 @ SV455 @ SV437 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2282,plain,
! [SV463: $i,SV456: $i > $o,SV491: $i,SV438: $i] :
( ( ( ~ ( r1 @ SV438 @ SV491 ) )
= $true )
| ( ( ~ ! [SY856: $i] :
( ~ ( r1 @ SV491 @ SY856 )
| ( SV456 @ SY856 ) ) )
= $true )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2246]) ).
thf(2283,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( ~ ( r1 @ SV439 @ ( sK164_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2284,plain,
! [SV439: $i,SV457: $i > $o] :
( ( ( ~ ( SV457 @ ( sK164_SY817 @ SV457 @ SV439 ) ) )
= $false )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2285,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( r1 @ SV439 @ ( sK161_SY817 @ SV457 @ SV439 ) )
= $true )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2248]) ).
thf(2286,plain,
! [SV439: $i,SV457: $i > $o] :
( ( ( SV457 @ ( sK161_SY817 @ SV457 @ SV439 ) )
= $true )
| ( ( SV457 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2287,plain,
! [SV464: $i,SV458: $i > $o,SV492: $i,SV440: $i] :
( ( ( ~ ( r2 @ SV440 @ SV492 ) )
= $true )
| ( ( ~ ! [SY857: $i] :
( ~ ( r2 @ SV492 @ SY857 )
| ( SV458 @ SY857 ) ) )
= $true )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2250]) ).
thf(2288,plain,
! [SV459: $i > $o,SV487: $i,SV441: $i] :
( ( ( r3 @ SV441 @ SV487 )
= $false )
| ( ( ! [SY853: $i] :
( ~ ( r1 @ SV487 @ SY853 )
| ( SV459 @ SY853 ) ) )
= $true )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2289,plain,
! [SV441: $i,SV459: $i > $o,SV500: $i,SV475: $i] :
( ( ( ~ ( r1 @ SV475 @ SV500 )
| ( SV459 @ SV500 ) )
= $true )
| ( ( r3 @ SV441 @ SV475 )
= $false )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2290,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( ~ ( r3 @ SV442 @ ( sK165_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2291,plain,
! [SV442: $i,SV460: $i > $o] :
( ( ( ~ ( SV460 @ ( sK165_SY825 @ SV460 @ SV442 ) ) )
= $false )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2292,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( r3 @ SV442 @ ( sK162_SY825 @ SV460 @ SV442 ) )
= $true )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2254]) ).
thf(2293,plain,
! [SV442: $i,SV460: $i > $o] :
( ( ( SV460 @ ( sK162_SY825 @ SV460 @ SV442 ) )
= $true )
| ( ( SV460 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2255]) ).
thf(2294,plain,
! [SV488: $i] :
( ( ( r2 @ sK157_SY834 @ SV488 )
= $false )
| ( ( sK142_SY826 @ SV488 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2257]) ).
thf(2295,plain,
! [SV461: $i > $o,SV489: $i,SV443: $i] :
( ( ( r3 @ SV443 @ SV489 )
= $false )
| ( ( ! [SY854: $i] :
( ~ ( r3 @ SV489 @ SY854 )
| ( SV461 @ SY854 ) ) )
= $true )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2296,plain,
! [SV443: $i,SV461: $i > $o,SV501: $i,SV476: $i] :
( ( ( ~ ( r3 @ SV476 @ SV501 )
| ( SV461 @ SV501 ) )
= $true )
| ( ( r3 @ SV443 @ SV476 )
= $false )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2297,plain,
! [SV426: $i,SV444: $i > $o,SV502: $i,SV477: $i] :
( ( ( ~ ( r2 @ SV477 @ SV502 )
| ( SV444 @ SV502 ) )
= $true )
| ( ( r3 @ SV426 @ SV477 )
= $false )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2298,plain,
! [SV426: $i,SV444: $i > $o,SV493: $i,SV465: $i] :
( ( ( ~ ( r2 @ SV465 @ SV493 ) )
= $true )
| ( ( SV444 @ SV493 )
= $true )
| ( ( r3 @ SV426 @ SV465 )
= $false )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2299,plain,
! [SV427: $i,SV445: $i > $o,SV503: $i,SV478: $i] :
( ( ( ~ ( r3 @ SV478 @ SV503 )
| ( SV445 @ SV503 ) )
= $true )
| ( ( r1 @ SV427 @ SV478 )
= $false )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2300,plain,
! [SV427: $i,SV445: $i > $o,SV494: $i,SV466: $i] :
( ( ( ~ ( r3 @ SV466 @ SV494 ) )
= $true )
| ( ( SV445 @ SV494 )
= $true )
| ( ( r1 @ SV427 @ SV466 )
= $false )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2263]) ).
thf(2301,plain,
! [SV428: $i,SV446: $i > $o,SV504: $i,SV479: $i] :
( ( ( ~ ( r1 @ SV479 @ SV504 )
| ( SV446 @ SV504 ) )
= $true )
| ( ( r2 @ SV428 @ SV479 )
= $false )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2302,plain,
! [SV428: $i,SV446: $i > $o,SV495: $i,SV467: $i] :
( ( ( ~ ( r1 @ SV467 @ SV495 ) )
= $true )
| ( ( SV446 @ SV495 )
= $true )
| ( ( r2 @ SV428 @ SV467 )
= $false )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2265]) ).
thf(2303,plain,
! [SV429: $i,SV447: $i > $o,SV505: $i,SV480: $i] :
( ( ( ~ ( r2 @ SV480 @ SV505 )
| ( SV447 @ SV505 ) )
= $true )
| ( ( r1 @ SV429 @ SV480 )
= $false )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2304,plain,
! [SV429: $i,SV447: $i > $o,SV496: $i,SV468: $i] :
( ( ( ~ ( r2 @ SV468 @ SV496 ) )
= $true )
| ( ( SV447 @ SV496 )
= $true )
| ( ( r1 @ SV429 @ SV468 )
= $false )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2305,plain,
! [SV431: $i,SV449: $i > $o,SV506: $i,SV482: $i] :
( ( ( ~ ( r1 @ SV482 @ SV506 )
| ( SV449 @ SV506 ) )
= $true )
| ( ( r1 @ SV431 @ SV482 )
= $false )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2306,plain,
! [SV431: $i,SV449: $i > $o,SV497: $i,SV470: $i] :
( ( ( ~ ( r1 @ SV470 @ SV497 ) )
= $true )
| ( ( SV449 @ SV497 )
= $true )
| ( ( r1 @ SV431 @ SV470 )
= $false )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2270]) ).
thf(2307,plain,
! [SV462: $i,SV450: $i > $o,SV490: $i,SV432: $i] :
( ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( ~ ! [SY855: $i] :
( ~ ( r3 @ SV490 @ SY855 )
| ( SV450 @ SY855 ) ) )
= $true )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2308,plain,
! [SV433: $i,SV451: $i > $o,SV507: $i,SV483: $i] :
( ( ( ~ ( r2 @ SV483 @ SV507 )
| ( SV451 @ SV507 ) )
= $true )
| ( ( r2 @ SV433 @ SV483 )
= $false )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2309,plain,
! [SV433: $i,SV451: $i > $o,SV498: $i,SV471: $i] :
( ( ( ~ ( r2 @ SV471 @ SV498 ) )
= $true )
| ( ( SV451 @ SV498 )
= $true )
| ( ( r2 @ SV433 @ SV471 )
= $false )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2273]) ).
thf(2310,plain,
! [SV435: $i,SV453: $i > $o,SV508: $i,SV485: $i] :
( ( ( ~ ( r3 @ SV485 @ SV508 )
| ( SV453 @ SV508 ) )
= $true )
| ( ( r2 @ SV435 @ SV485 )
= $false )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2311,plain,
! [SV435: $i,SV453: $i > $o,SV499: $i,SV473: $i] :
( ( ( ~ ( r3 @ SV473 @ SV499 ) )
= $true )
| ( ( SV453 @ SV499 )
= $true )
| ( ( r2 @ SV435 @ SV473 )
= $false )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2276]) ).
thf(2312,plain,
! [SV454: $i > $o,SV436: $i] :
( ( ( r2 @ SV436 @ ( sK163_SY810 @ SV454 @ SV436 ) )
= $true )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2313,plain,
! [SV436: $i,SV454: $i > $o] :
( ( ( SV454 @ ( sK163_SY810 @ SV454 @ SV436 ) )
= $true )
| ( ( r2 @ SV436 @ ( sK152_SY809 @ SV454 @ SV436 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2278]) ).
thf(2314,plain,
! [SV463: $i,SV456: $i > $o,SV491: $i,SV438: $i] :
( ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( ~ ! [SY856: $i] :
( ~ ( r1 @ SV491 @ SY856 )
| ( SV456 @ SY856 ) ) )
= $true )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2315,plain,
! [SV457: $i > $o,SV439: $i] :
( ( ( r1 @ SV439 @ ( sK164_SY817 @ SV457 @ SV439 ) )
= $true )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2283]) ).
thf(2316,plain,
! [SV439: $i,SV457: $i > $o] :
( ( ( SV457 @ ( sK164_SY817 @ SV457 @ SV439 ) )
= $true )
| ( ( r1 @ SV439 @ ( sK154_SY816 @ SV457 @ SV439 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2284]) ).
thf(2317,plain,
! [SV464: $i,SV458: $i > $o,SV492: $i,SV440: $i] :
( ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( ~ ! [SY857: $i] :
( ~ ( r2 @ SV492 @ SY857 )
| ( SV458 @ SY857 ) ) )
= $true )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2287]) ).
thf(2318,plain,
! [SV441: $i,SV459: $i > $o,SV509: $i,SV487: $i] :
( ( ( ~ ( r1 @ SV487 @ SV509 )
| ( SV459 @ SV509 ) )
= $true )
| ( ( r3 @ SV441 @ SV487 )
= $false )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2319,plain,
! [SV441: $i,SV459: $i > $o,SV500: $i,SV475: $i] :
( ( ( ~ ( r1 @ SV475 @ SV500 ) )
= $true )
| ( ( SV459 @ SV500 )
= $true )
| ( ( r3 @ SV441 @ SV475 )
= $false )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2289]) ).
thf(2320,plain,
! [SV460: $i > $o,SV442: $i] :
( ( ( r3 @ SV442 @ ( sK165_SY825 @ SV460 @ SV442 ) )
= $true )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2321,plain,
! [SV442: $i,SV460: $i > $o] :
( ( ( SV460 @ ( sK165_SY825 @ SV460 @ SV442 ) )
= $true )
| ( ( r3 @ SV442 @ ( sK156_SY824 @ SV460 @ SV442 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2322,plain,
! [SV443: $i,SV461: $i > $o,SV510: $i,SV489: $i] :
( ( ( ~ ( r3 @ SV489 @ SV510 )
| ( SV461 @ SV510 ) )
= $true )
| ( ( r3 @ SV443 @ SV489 )
= $false )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2295]) ).
thf(2323,plain,
! [SV443: $i,SV461: $i > $o,SV501: $i,SV476: $i] :
( ( ( ~ ( r3 @ SV476 @ SV501 ) )
= $true )
| ( ( SV461 @ SV501 )
= $true )
| ( ( r3 @ SV443 @ SV476 )
= $false )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2296]) ).
thf(2324,plain,
! [SV426: $i,SV444: $i > $o,SV502: $i,SV477: $i] :
( ( ( ~ ( r2 @ SV477 @ SV502 ) )
= $true )
| ( ( SV444 @ SV502 )
= $true )
| ( ( r3 @ SV426 @ SV477 )
= $false )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2297]) ).
thf(2325,plain,
! [SV426: $i,SV444: $i > $o,SV493: $i,SV465: $i] :
( ( ( r2 @ SV465 @ SV493 )
= $false )
| ( ( SV444 @ SV493 )
= $true )
| ( ( r3 @ SV426 @ SV465 )
= $false )
| ( ( SV444 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2326,plain,
! [SV427: $i,SV445: $i > $o,SV503: $i,SV478: $i] :
( ( ( ~ ( r3 @ SV478 @ SV503 ) )
= $true )
| ( ( SV445 @ SV503 )
= $true )
| ( ( r1 @ SV427 @ SV478 )
= $false )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2299]) ).
thf(2327,plain,
! [SV427: $i,SV445: $i > $o,SV494: $i,SV466: $i] :
( ( ( r3 @ SV466 @ SV494 )
= $false )
| ( ( SV445 @ SV494 )
= $true )
| ( ( r1 @ SV427 @ SV466 )
= $false )
| ( ( SV445 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2300]) ).
thf(2328,plain,
! [SV428: $i,SV446: $i > $o,SV504: $i,SV479: $i] :
( ( ( ~ ( r1 @ SV479 @ SV504 ) )
= $true )
| ( ( SV446 @ SV504 )
= $true )
| ( ( r2 @ SV428 @ SV479 )
= $false )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2301]) ).
thf(2329,plain,
! [SV428: $i,SV446: $i > $o,SV495: $i,SV467: $i] :
( ( ( r1 @ SV467 @ SV495 )
= $false )
| ( ( SV446 @ SV495 )
= $true )
| ( ( r2 @ SV428 @ SV467 )
= $false )
| ( ( SV446 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2302]) ).
thf(2330,plain,
! [SV429: $i,SV447: $i > $o,SV505: $i,SV480: $i] :
( ( ( ~ ( r2 @ SV480 @ SV505 ) )
= $true )
| ( ( SV447 @ SV505 )
= $true )
| ( ( r1 @ SV429 @ SV480 )
= $false )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2303]) ).
thf(2331,plain,
! [SV429: $i,SV447: $i > $o,SV496: $i,SV468: $i] :
( ( ( r2 @ SV468 @ SV496 )
= $false )
| ( ( SV447 @ SV496 )
= $true )
| ( ( r1 @ SV429 @ SV468 )
= $false )
| ( ( SV447 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2332,plain,
! [SV431: $i,SV449: $i > $o,SV506: $i,SV482: $i] :
( ( ( ~ ( r1 @ SV482 @ SV506 ) )
= $true )
| ( ( SV449 @ SV506 )
= $true )
| ( ( r1 @ SV431 @ SV482 )
= $false )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2305]) ).
thf(2333,plain,
! [SV431: $i,SV449: $i > $o,SV497: $i,SV470: $i] :
( ( ( r1 @ SV470 @ SV497 )
= $false )
| ( ( SV449 @ SV497 )
= $true )
| ( ( r1 @ SV431 @ SV470 )
= $false )
| ( ( SV449 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2334,plain,
! [SV462: $i,SV432: $i,SV450: $i > $o,SV490: $i] :
( ( ( ! [SY855: $i] :
( ~ ( r3 @ SV490 @ SY855 )
| ( SV450 @ SY855 ) ) )
= $false )
| ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2335,plain,
! [SV433: $i,SV451: $i > $o,SV507: $i,SV483: $i] :
( ( ( ~ ( r2 @ SV483 @ SV507 ) )
= $true )
| ( ( SV451 @ SV507 )
= $true )
| ( ( r2 @ SV433 @ SV483 )
= $false )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2336,plain,
! [SV433: $i,SV451: $i > $o,SV498: $i,SV471: $i] :
( ( ( r2 @ SV471 @ SV498 )
= $false )
| ( ( SV451 @ SV498 )
= $true )
| ( ( r2 @ SV433 @ SV471 )
= $false )
| ( ( SV451 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2309]) ).
thf(2337,plain,
! [SV435: $i,SV453: $i > $o,SV508: $i,SV485: $i] :
( ( ( ~ ( r3 @ SV485 @ SV508 ) )
= $true )
| ( ( SV453 @ SV508 )
= $true )
| ( ( r2 @ SV435 @ SV485 )
= $false )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2310]) ).
thf(2338,plain,
! [SV435: $i,SV453: $i > $o,SV499: $i,SV473: $i] :
( ( ( r3 @ SV473 @ SV499 )
= $false )
| ( ( SV453 @ SV499 )
= $true )
| ( ( r2 @ SV435 @ SV473 )
= $false )
| ( ( SV453 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2311]) ).
thf(2339,plain,
! [SV463: $i,SV438: $i,SV456: $i > $o,SV491: $i] :
( ( ( ! [SY856: $i] :
( ~ ( r1 @ SV491 @ SY856 )
| ( SV456 @ SY856 ) ) )
= $false )
| ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2340,plain,
! [SV464: $i,SV440: $i,SV458: $i > $o,SV492: $i] :
( ( ( ! [SY857: $i] :
( ~ ( r2 @ SV492 @ SY857 )
| ( SV458 @ SY857 ) ) )
= $false )
| ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2317]) ).
thf(2341,plain,
! [SV441: $i,SV459: $i > $o,SV509: $i,SV487: $i] :
( ( ( ~ ( r1 @ SV487 @ SV509 ) )
= $true )
| ( ( SV459 @ SV509 )
= $true )
| ( ( r3 @ SV441 @ SV487 )
= $false )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2318]) ).
thf(2342,plain,
! [SV441: $i,SV459: $i > $o,SV500: $i,SV475: $i] :
( ( ( r1 @ SV475 @ SV500 )
= $false )
| ( ( SV459 @ SV500 )
= $true )
| ( ( r3 @ SV441 @ SV475 )
= $false )
| ( ( SV459 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2343,plain,
! [SV443: $i,SV461: $i > $o,SV510: $i,SV489: $i] :
( ( ( ~ ( r3 @ SV489 @ SV510 ) )
= $true )
| ( ( SV461 @ SV510 )
= $true )
| ( ( r3 @ SV443 @ SV489 )
= $false )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2322]) ).
thf(2344,plain,
! [SV443: $i,SV461: $i > $o,SV501: $i,SV476: $i] :
( ( ( r3 @ SV476 @ SV501 )
= $false )
| ( ( SV461 @ SV501 )
= $true )
| ( ( r3 @ SV443 @ SV476 )
= $false )
| ( ( SV461 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2323]) ).
thf(2345,plain,
! [SV426: $i,SV444: $i > $o,SV502: $i,SV477: $i] :
( ( ( r2 @ SV477 @ SV502 )
= $false )
| ( ( SV444 @ SV502 )
= $true )
| ( ( r3 @ SV426 @ SV477 )
= $false )
| ( ( r2 @ SV426 @ ( sK143_SY781 @ SV444 @ SV426 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2346,plain,
! [SV427: $i,SV445: $i > $o,SV503: $i,SV478: $i] :
( ( ( r3 @ SV478 @ SV503 )
= $false )
| ( ( SV445 @ SV503 )
= $true )
| ( ( r1 @ SV427 @ SV478 )
= $false )
| ( ( r3 @ SV427 @ ( sK144_SY784 @ SV445 @ SV427 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2326]) ).
thf(2347,plain,
! [SV428: $i,SV446: $i > $o,SV504: $i,SV479: $i] :
( ( ( r1 @ SV479 @ SV504 )
= $false )
| ( ( SV446 @ SV504 )
= $true )
| ( ( r2 @ SV428 @ SV479 )
= $false )
| ( ( r1 @ SV428 @ ( sK145_SY787 @ SV446 @ SV428 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2348,plain,
! [SV429: $i,SV447: $i > $o,SV505: $i,SV480: $i] :
( ( ( r2 @ SV480 @ SV505 )
= $false )
| ( ( SV447 @ SV505 )
= $true )
| ( ( r1 @ SV429 @ SV480 )
= $false )
| ( ( r2 @ SV429 @ ( sK146_SY790 @ SV447 @ SV429 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2349,plain,
! [SV431: $i,SV449: $i > $o,SV506: $i,SV482: $i] :
( ( ( r1 @ SV482 @ SV506 )
= $false )
| ( ( SV449 @ SV506 )
= $true )
| ( ( r1 @ SV431 @ SV482 )
= $false )
| ( ( r1 @ SV431 @ ( sK148_SY795 @ SV449 @ SV431 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2332]) ).
thf(2350,plain,
! [SV450: $i > $o,SV432: $i,SV462: $i,SV490: $i] :
( ( ( ~ ( r3 @ SV490 @ ( sK166_SY855 @ SV462 @ SV432 @ SV450 @ SV490 ) )
| ( SV450 @ ( sK166_SY855 @ SV462 @ SV432 @ SV450 @ SV490 ) ) )
= $false )
| ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2334]) ).
thf(2351,plain,
! [SV433: $i,SV451: $i > $o,SV507: $i,SV483: $i] :
( ( ( r2 @ SV483 @ SV507 )
= $false )
| ( ( SV451 @ SV507 )
= $true )
| ( ( r2 @ SV433 @ SV483 )
= $false )
| ( ( r2 @ SV433 @ ( sK149_SY801 @ SV451 @ SV433 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2352,plain,
! [SV435: $i,SV453: $i > $o,SV508: $i,SV485: $i] :
( ( ( r3 @ SV485 @ SV508 )
= $false )
| ( ( SV453 @ SV508 )
= $true )
| ( ( r2 @ SV435 @ SV485 )
= $false )
| ( ( r3 @ SV435 @ ( sK151_SY806 @ SV453 @ SV435 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2353,plain,
! [SV456: $i > $o,SV438: $i,SV463: $i,SV491: $i] :
( ( ( ~ ( r1 @ SV491 @ ( sK167_SY856 @ SV463 @ SV438 @ SV456 @ SV491 ) )
| ( SV456 @ ( sK167_SY856 @ SV463 @ SV438 @ SV456 @ SV491 ) ) )
= $false )
| ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2339]) ).
thf(2354,plain,
! [SV458: $i > $o,SV440: $i,SV464: $i,SV492: $i] :
( ( ( ~ ( r2 @ SV492 @ ( sK168_SY857 @ SV464 @ SV440 @ SV458 @ SV492 ) )
| ( SV458 @ ( sK168_SY857 @ SV464 @ SV440 @ SV458 @ SV492 ) ) )
= $false )
| ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2340]) ).
thf(2355,plain,
! [SV441: $i,SV459: $i > $o,SV509: $i,SV487: $i] :
( ( ( r1 @ SV487 @ SV509 )
= $false )
| ( ( SV459 @ SV509 )
= $true )
| ( ( r3 @ SV441 @ SV487 )
= $false )
| ( ( r1 @ SV441 @ ( sK155_SY821 @ SV459 @ SV441 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2356,plain,
! [SV443: $i,SV461: $i > $o,SV510: $i,SV489: $i] :
( ( ( r3 @ SV489 @ SV510 )
= $false )
| ( ( SV461 @ SV510 )
= $true )
| ( ( r3 @ SV443 @ SV489 )
= $false )
| ( ( r3 @ SV443 @ ( sK158_SY830 @ SV461 @ SV443 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2343]) ).
thf(2357,plain,
! [SV450: $i > $o,SV432: $i,SV462: $i,SV490: $i] :
( ( ( ~ ( r3 @ SV490 @ ( sK166_SY855 @ SV462 @ SV432 @ SV450 @ SV490 ) ) )
= $false )
| ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2358,plain,
! [SV490: $i,SV432: $i,SV462: $i,SV450: $i > $o] :
( ( ( SV450 @ ( sK166_SY855 @ SV462 @ SV432 @ SV450 @ SV490 ) )
= $false )
| ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2350]) ).
thf(2359,plain,
! [SV456: $i > $o,SV438: $i,SV463: $i,SV491: $i] :
( ( ( ~ ( r1 @ SV491 @ ( sK167_SY856 @ SV463 @ SV438 @ SV456 @ SV491 ) ) )
= $false )
| ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2353]) ).
thf(2360,plain,
! [SV491: $i,SV438: $i,SV463: $i,SV456: $i > $o] :
( ( ( SV456 @ ( sK167_SY856 @ SV463 @ SV438 @ SV456 @ SV491 ) )
= $false )
| ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2353]) ).
thf(2361,plain,
! [SV458: $i > $o,SV440: $i,SV464: $i,SV492: $i] :
( ( ( ~ ( r2 @ SV492 @ ( sK168_SY857 @ SV464 @ SV440 @ SV458 @ SV492 ) ) )
= $false )
| ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2362,plain,
! [SV492: $i,SV440: $i,SV464: $i,SV458: $i > $o] :
( ( ( SV458 @ ( sK168_SY857 @ SV464 @ SV440 @ SV458 @ SV492 ) )
= $false )
| ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2363,plain,
! [SV450: $i > $o,SV432: $i,SV462: $i,SV490: $i] :
( ( ( r3 @ SV490 @ ( sK166_SY855 @ SV462 @ SV432 @ SV450 @ SV490 ) )
= $true )
| ( ( r3 @ SV432 @ SV490 )
= $false )
| ( ( SV450 @ SV462 )
= $true )
| ( ( r3 @ SV432 @ SV462 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2357]) ).
thf(2364,plain,
! [SV456: $i > $o,SV438: $i,SV463: $i,SV491: $i] :
( ( ( r1 @ SV491 @ ( sK167_SY856 @ SV463 @ SV438 @ SV456 @ SV491 ) )
= $true )
| ( ( r1 @ SV438 @ SV491 )
= $false )
| ( ( SV456 @ SV463 )
= $true )
| ( ( r1 @ SV438 @ SV463 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2359]) ).
thf(2365,plain,
! [SV458: $i > $o,SV440: $i,SV464: $i,SV492: $i] :
( ( ( r2 @ SV492 @ ( sK168_SY857 @ SV464 @ SV440 @ SV458 @ SV492 ) )
= $true )
| ( ( r2 @ SV440 @ SV492 )
= $false )
| ( ( SV458 @ SV464 )
= $true )
| ( ( r2 @ SV440 @ SV464 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2366,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2182,2365,2364,2363,2362,2360,2358,2356,2355,2352,2351,2349,2348,2347,2346,2345,2344,2342,2338,2336,2333,2331,2329,2327,2325,2321,2320,2316,2315,2313,2312,2294,2293,2292,2286,2285,2281,2280,2279,2274,2268,2256,2245,2238,2231,2218]) ).
thf(2367,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(2368,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(2369,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(2370,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(2371,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(2372,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(2373,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(2374,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(2375,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(2376,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(2377,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(2378,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(2379,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(2380,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(2381,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(2382,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(2383,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(2384,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(2385,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(2386,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2375,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2387,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2368,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2388,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2385,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2389,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2384,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2390,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2377,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2391,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2369,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2392,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2382,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2393,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2378,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2394,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2371,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2395,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2374,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2396,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2376,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2397,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2367,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2398,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2373,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2399,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2380,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2400,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2381,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2401,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2379,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2402,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2372,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2403,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2383,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2404,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2370,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2405,plain,
! [SV511: $i] :
( ( ! [SY858: $i > $o] :
( ~ ! [SY859: $i] :
( ~ ( r1 @ SV511 @ SY859 )
| ( SY858 @ SY859 ) )
| ! [SY860: $i] :
( ~ ( r3 @ SV511 @ SY860 )
| ! [SX3: $i] :
( ~ ( r1 @ SY860 @ SX3 )
| ( SY858 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2406,plain,
! [SV512: $i] :
( ( ! [SY862: $i > $o] :
( ~ ! [SY863: $i] :
( ~ ( r2 @ SV512 @ SY863 )
| ( SY862 @ SY863 ) )
| ~ ! [SY864: $i] :
( ~ ( r2 @ SV512 @ SY864 )
| ~ ( SY862 @ SY864 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2387]) ).
thf(2407,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2388]) ).
thf(2408,plain,
! [SV513: $i] :
( ( ! [SY865: $i > $o] :
( ~ ~ ! [SY866: $i] :
( ~ ( r3 @ SV513 @ SY866 )
| ( SY865 @ SY866 ) )
| ! [SY867: $i] :
( ~ ( r3 @ SV513 @ SY867 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY867 @ SX3 )
| ( SY865 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2409,plain,
! [SV514: $i] :
( ( ! [SY869: $i > $o] :
( ~ ! [SY870: $i] :
( ~ ( r2 @ SV514 @ SY870 )
| ( SY869 @ SY870 ) )
| ! [SY871: $i] :
( ~ ( r2 @ SV514 @ SY871 )
| ! [SX3: $i] :
( ~ ( r2 @ SY871 @ SX3 )
| ( SY869 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2410,plain,
! [SV515: $i] :
( ( ! [SY873: $i > $o] :
( ~ ! [SY874: $i] :
( ~ ( r3 @ SV515 @ SY874 )
| ( SY873 @ SY874 ) )
| ~ ! [SY875: $i] :
( ~ ( r3 @ SV515 @ SY875 )
| ~ ( SY873 @ SY875 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2411,plain,
! [SV516: $i] :
( ( ! [SY876: $i > $o] :
( ~ ~ ! [SY877: $i] :
( ~ ( r1 @ SV516 @ SY877 )
| ( SY876 @ SY877 ) )
| ! [SY878: $i] :
( ~ ( r1 @ SV516 @ SY878 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY878 @ SX3 )
| ( SY876 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2412,plain,
! [SV517: $i] :
( ( ! [SY880: $i > $o] :
( ~ ! [SY881: $i] :
( ~ ( r2 @ SV517 @ SY881 )
| ( SY880 @ SY881 ) )
| ! [SY882: $i] :
( ~ ( r3 @ SV517 @ SY882 )
| ! [SX3: $i] :
( ~ ( r2 @ SY882 @ SX3 )
| ( SY880 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2413,plain,
! [SV518: $i] :
( ( ! [SY884: $i > $o] :
( ~ ! [SY885: $i] :
( ~ ( r3 @ SV518 @ SY885 )
| ( SY884 @ SY885 ) )
| ! [SY886: $i] :
( ~ ( r1 @ SV518 @ SY886 )
| ( SY884 @ SY886 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2414,plain,
! [SV519: $i] :
( ( ! [SY887: $i > $o] :
( ~ ! [SY888: $i] :
( ~ ( r1 @ SV519 @ SY888 )
| ( SY887 @ SY888 ) )
| ! [SY889: $i] :
( ~ ( r2 @ SV519 @ SY889 )
| ! [SX3: $i] :
( ~ ( r1 @ SY889 @ SX3 )
| ( SY887 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2395]) ).
thf(2415,plain,
! [SV520: $i] :
( ( ! [SY891: $i > $o] :
( ~ ! [SY892: $i] :
( ~ ( r2 @ SV520 @ SY892 )
| ( SY891 @ SY892 ) )
| ! [SY893: $i] :
( ~ ( r1 @ SV520 @ SY893 )
| ! [SX3: $i] :
( ~ ( r2 @ SY893 @ SX3 )
| ( SY891 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2416,plain,
! [SV521: $i] :
( ( ! [SY895: $i > $o] :
( ~ ! [SY896: $i] :
( ~ ( r1 @ SV521 @ SY896 )
| ( SY895 @ SY896 ) )
| ~ ! [SY897: $i] :
( ~ ( r1 @ SV521 @ SY897 )
| ~ ( SY895 @ SY897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2417,plain,
! [SV522: $i] :
( ( ! [SY898: $i > $o] :
( ~ ! [SY899: $i] :
( ~ ( r1 @ SV522 @ SY899 )
| ( SY898 @ SY899 ) )
| ! [SY900: $i] :
( ~ ( r1 @ SV522 @ SY900 )
| ! [SX3: $i] :
( ~ ( r1 @ SY900 @ SX3 )
| ( SY898 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2418,plain,
! [SV523: $i] :
( ( ! [SY902: $i > $o] :
( ~ ! [SY903: $i] :
( ~ ( r3 @ SV523 @ SY903 )
| ( SY902 @ SY903 ) )
| ! [SY904: $i] :
( ~ ( r2 @ SV523 @ SY904 )
| ! [SX3: $i] :
( ~ ( r3 @ SY904 @ SX3 )
| ( SY902 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2419,plain,
! [SV524: $i] :
( ( ! [SY906: $i > $o] :
( ~ ! [SY907: $i] :
( ~ ( r3 @ SV524 @ SY907 )
| ( SY906 @ SY907 ) )
| ! [SY908: $i] :
( ~ ( r3 @ SV524 @ SY908 )
| ! [SX3: $i] :
( ~ ( r3 @ SY908 @ SX3 )
| ( SY906 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2420,plain,
! [SV525: $i] :
( ( ! [SY910: $i > $o] :
( ~ ! [SY911: $i] :
( ~ ( r3 @ SV525 @ SY911 )
| ( SY910 @ SY911 ) )
| ! [SY912: $i] :
( ~ ( r1 @ SV525 @ SY912 )
| ! [SX3: $i] :
( ~ ( r3 @ SY912 @ SX3 )
| ( SY910 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2421,plain,
! [SV526: $i] :
( ( ! [SY914: $i > $o] :
( ~ ! [SY915: $i] :
( ~ ( r3 @ SV526 @ SY915 )
| ( SY914 @ SY915 ) )
| ! [SY916: $i] :
( ~ ( r2 @ SV526 @ SY916 )
| ( SY914 @ SY916 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2422,plain,
! [SV527: $i] :
( ( ! [SY917: $i > $o] :
( ~ ~ ! [SY918: $i] :
( ~ ( r2 @ SV527 @ SY918 )
| ( SY917 @ SY918 ) )
| ! [SY919: $i] :
( ~ ( r2 @ SV527 @ SY919 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY919 @ SX3 )
| ( SY917 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2423,plain,
! [SV528: $i] :
( ( ! [SY921: $i > $o] :
( ~ ! [SY922: $i] :
( ~ ( r2 @ SV528 @ SY922 )
| ( SY921 @ SY922 ) )
| ! [SY923: $i] :
( ~ ( r1 @ SV528 @ SY923 )
| ( SY921 @ SY923 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2424,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ~ ! [SY924: $i] :
( ~ ( r1 @ SV511 @ SY924 )
| ( SV529 @ SY924 ) )
| ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2425,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ~ ! [SY927: $i] :
( ~ ( r2 @ SV512 @ SY927 )
| ( SV530 @ SY927 ) )
| ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2426,plain,
( ( ! [SY929: $i > $o] :
( ~ ~ ! [SY930: $i] :
( ~ ( r3 @ sK169_SX0 @ SY930 )
| ( SY929 @ SY930 ) )
| ! [SY931: $i] :
( ~ ( r1 @ sK169_SX0 @ SY931 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY931 @ SX3 )
| ( SY929 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2407]) ).
thf(2427,plain,
! [SV531: $i > $o,SV513: $i] :
( ( ~ ~ ! [SY933: $i] :
( ~ ( r3 @ SV513 @ SY933 )
| ( SV531 @ SY933 ) )
| ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2408]) ).
thf(2428,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ~ ! [SY936: $i] :
( ~ ( r2 @ SV514 @ SY936 )
| ( SV532 @ SY936 ) )
| ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2409]) ).
thf(2429,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ~ ! [SY939: $i] :
( ~ ( r3 @ SV515 @ SY939 )
| ( SV533 @ SY939 ) )
| ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2430,plain,
! [SV534: $i > $o,SV516: $i] :
( ( ~ ~ ! [SY941: $i] :
( ~ ( r1 @ SV516 @ SY941 )
| ( SV534 @ SY941 ) )
| ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2431,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ~ ! [SY944: $i] :
( ~ ( r2 @ SV517 @ SY944 )
| ( SV535 @ SY944 ) )
| ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2412]) ).
thf(2432,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ~ ! [SY947: $i] :
( ~ ( r3 @ SV518 @ SY947 )
| ( SV536 @ SY947 ) )
| ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2413]) ).
thf(2433,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ~ ! [SY949: $i] :
( ~ ( r1 @ SV519 @ SY949 )
| ( SV537 @ SY949 ) )
| ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2434,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ~ ! [SY952: $i] :
( ~ ( r2 @ SV520 @ SY952 )
| ( SV538 @ SY952 ) )
| ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2435,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ~ ! [SY955: $i] :
( ~ ( r1 @ SV521 @ SY955 )
| ( SV539 @ SY955 ) )
| ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2436,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ~ ! [SY957: $i] :
( ~ ( r1 @ SV522 @ SY957 )
| ( SV540 @ SY957 ) )
| ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2437,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ~ ! [SY960: $i] :
( ~ ( r3 @ SV523 @ SY960 )
| ( SV541 @ SY960 ) )
| ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2438,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ~ ! [SY963: $i] :
( ~ ( r3 @ SV524 @ SY963 )
| ( SV542 @ SY963 ) )
| ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2439,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ~ ! [SY966: $i] :
( ~ ( r3 @ SV525 @ SY966 )
| ( SV543 @ SY966 ) )
| ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2440,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ~ ! [SY969: $i] :
( ~ ( r3 @ SV526 @ SY969 )
| ( SV544 @ SY969 ) )
| ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2441,plain,
! [SV545: $i > $o,SV527: $i] :
( ( ~ ~ ! [SY971: $i] :
( ~ ( r2 @ SV527 @ SY971 )
| ( SV545 @ SY971 ) )
| ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2442,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ~ ! [SY974: $i] :
( ~ ( r2 @ SV528 @ SY974 )
| ( SV546 @ SY974 ) )
| ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2443,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ( ~ ! [SY924: $i] :
( ~ ( r1 @ SV511 @ SY924 )
| ( SV529 @ SY924 ) ) )
= $true )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2424]) ).
thf(2444,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ! [SY927: $i] :
( ~ ( r2 @ SV512 @ SY927 )
| ( SV530 @ SY927 ) ) )
= $true )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2425]) ).
thf(2445,plain,
( ( ~ ~ ! [SY976: $i] :
( ~ ( r3 @ sK169_SX0 @ SY976 )
| ( sK170_SY929 @ SY976 ) )
| ! [SY977: $i] :
( ~ ( r1 @ sK169_SX0 @ SY977 )
| ~ ! [SY978: $i] :
( ~ ( r3 @ SY977 @ SY978 )
| ( sK170_SY929 @ SY978 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2426]) ).
thf(2446,plain,
! [SV531: $i > $o,SV513: $i] :
( ( ( ~ ~ ! [SY933: $i] :
( ~ ( r3 @ SV513 @ SY933 )
| ( SV531 @ SY933 ) ) )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2427]) ).
thf(2447,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ( ~ ! [SY936: $i] :
( ~ ( r2 @ SV514 @ SY936 )
| ( SV532 @ SY936 ) ) )
= $true )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2428]) ).
thf(2448,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ! [SY939: $i] :
( ~ ( r3 @ SV515 @ SY939 )
| ( SV533 @ SY939 ) ) )
= $true )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2429]) ).
thf(2449,plain,
! [SV534: $i > $o,SV516: $i] :
( ( ( ~ ~ ! [SY941: $i] :
( ~ ( r1 @ SV516 @ SY941 )
| ( SV534 @ SY941 ) ) )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2450,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ( ~ ! [SY944: $i] :
( ~ ( r2 @ SV517 @ SY944 )
| ( SV535 @ SY944 ) ) )
= $true )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2451,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ( ~ ! [SY947: $i] :
( ~ ( r3 @ SV518 @ SY947 )
| ( SV536 @ SY947 ) ) )
= $true )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2432]) ).
thf(2452,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ( ~ ! [SY949: $i] :
( ~ ( r1 @ SV519 @ SY949 )
| ( SV537 @ SY949 ) ) )
= $true )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2433]) ).
thf(2453,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ( ~ ! [SY952: $i] :
( ~ ( r2 @ SV520 @ SY952 )
| ( SV538 @ SY952 ) ) )
= $true )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2434]) ).
thf(2454,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ! [SY955: $i] :
( ~ ( r1 @ SV521 @ SY955 )
| ( SV539 @ SY955 ) ) )
= $true )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2435]) ).
thf(2455,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ( ~ ! [SY957: $i] :
( ~ ( r1 @ SV522 @ SY957 )
| ( SV540 @ SY957 ) ) )
= $true )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2436]) ).
thf(2456,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ( ~ ! [SY960: $i] :
( ~ ( r3 @ SV523 @ SY960 )
| ( SV541 @ SY960 ) ) )
= $true )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2437]) ).
thf(2457,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ( ~ ! [SY963: $i] :
( ~ ( r3 @ SV524 @ SY963 )
| ( SV542 @ SY963 ) ) )
= $true )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2458,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ( ~ ! [SY966: $i] :
( ~ ( r3 @ SV525 @ SY966 )
| ( SV543 @ SY966 ) ) )
= $true )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2439]) ).
thf(2459,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ( ~ ! [SY969: $i] :
( ~ ( r3 @ SV526 @ SY969 )
| ( SV544 @ SY969 ) ) )
= $true )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2440]) ).
thf(2460,plain,
! [SV545: $i > $o,SV527: $i] :
( ( ( ~ ~ ! [SY971: $i] :
( ~ ( r2 @ SV527 @ SY971 )
| ( SV545 @ SY971 ) ) )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2461,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ( ~ ! [SY974: $i] :
( ~ ( r2 @ SV528 @ SY974 )
| ( SV546 @ SY974 ) ) )
= $true )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2462,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ( ! [SY924: $i] :
( ~ ( r1 @ SV511 @ SY924 )
| ( SV529 @ SY924 ) ) )
= $false )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2463,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ! [SY927: $i] :
( ~ ( r2 @ SV512 @ SY927 )
| ( SV530 @ SY927 ) ) )
= $false )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2464,plain,
( ( ~ ~ ! [SY976: $i] :
( ~ ( r3 @ sK169_SX0 @ SY976 )
| ( sK170_SY929 @ SY976 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2465,plain,
( ( ! [SY977: $i] :
( ~ ( r1 @ sK169_SX0 @ SY977 )
| ~ ! [SY978: $i] :
( ~ ( r3 @ SY977 @ SY978 )
| ( sK170_SY929 @ SY978 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2466,plain,
! [SV531: $i > $o,SV513: $i] :
( ( ( ~ ! [SY933: $i] :
( ~ ( r3 @ SV513 @ SY933 )
| ( SV531 @ SY933 ) ) )
= $false )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2467,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ( ! [SY936: $i] :
( ~ ( r2 @ SV514 @ SY936 )
| ( SV532 @ SY936 ) ) )
= $false )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2447]) ).
thf(2468,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ! [SY939: $i] :
( ~ ( r3 @ SV515 @ SY939 )
| ( SV533 @ SY939 ) ) )
= $false )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2448]) ).
thf(2469,plain,
! [SV534: $i > $o,SV516: $i] :
( ( ( ~ ! [SY941: $i] :
( ~ ( r1 @ SV516 @ SY941 )
| ( SV534 @ SY941 ) ) )
= $false )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2470,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ( ! [SY944: $i] :
( ~ ( r2 @ SV517 @ SY944 )
| ( SV535 @ SY944 ) ) )
= $false )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2450]) ).
thf(2471,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ( ! [SY947: $i] :
( ~ ( r3 @ SV518 @ SY947 )
| ( SV536 @ SY947 ) ) )
= $false )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2472,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ( ! [SY949: $i] :
( ~ ( r1 @ SV519 @ SY949 )
| ( SV537 @ SY949 ) ) )
= $false )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2452]) ).
thf(2473,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ( ! [SY952: $i] :
( ~ ( r2 @ SV520 @ SY952 )
| ( SV538 @ SY952 ) ) )
= $false )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2453]) ).
thf(2474,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ! [SY955: $i] :
( ~ ( r1 @ SV521 @ SY955 )
| ( SV539 @ SY955 ) ) )
= $false )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2475,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ( ! [SY957: $i] :
( ~ ( r1 @ SV522 @ SY957 )
| ( SV540 @ SY957 ) ) )
= $false )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2455]) ).
thf(2476,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ( ! [SY960: $i] :
( ~ ( r3 @ SV523 @ SY960 )
| ( SV541 @ SY960 ) ) )
= $false )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2456]) ).
thf(2477,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ( ! [SY963: $i] :
( ~ ( r3 @ SV524 @ SY963 )
| ( SV542 @ SY963 ) ) )
= $false )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2478,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ( ! [SY966: $i] :
( ~ ( r3 @ SV525 @ SY966 )
| ( SV543 @ SY966 ) ) )
= $false )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2479,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ( ! [SY969: $i] :
( ~ ( r3 @ SV526 @ SY969 )
| ( SV544 @ SY969 ) ) )
= $false )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2480,plain,
! [SV545: $i > $o,SV527: $i] :
( ( ( ~ ! [SY971: $i] :
( ~ ( r2 @ SV527 @ SY971 )
| ( SV545 @ SY971 ) ) )
= $false )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2460]) ).
thf(2481,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ( ! [SY974: $i] :
( ~ ( r2 @ SV528 @ SY974 )
| ( SV546 @ SY974 ) ) )
= $false )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2461]) ).
thf(2482,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ( ~ ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
| ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) ) )
= $false )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2462]) ).
thf(2483,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
| ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) ) )
= $false )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2463]) ).
thf(2484,plain,
( ( ~ ! [SY976: $i] :
( ~ ( r3 @ sK169_SX0 @ SY976 )
| ( sK170_SY929 @ SY976 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2464]) ).
thf(2485,plain,
( ( ~ ( r1 @ sK169_SX0 @ sK173_SY977 )
| ~ ! [SY979: $i] :
( ~ ( r3 @ sK173_SY977 @ SY979 )
| ( sK170_SY929 @ SY979 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2465]) ).
thf(2486,plain,
! [SV531: $i > $o,SV513: $i] :
( ( ( ! [SY933: $i] :
( ~ ( r3 @ SV513 @ SY933 )
| ( SV531 @ SY933 ) ) )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2466]) ).
thf(2487,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
| ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) ) )
= $false )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2467]) ).
thf(2488,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
| ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) ) )
= $false )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2468]) ).
thf(2489,plain,
! [SV534: $i > $o,SV516: $i] :
( ( ( ! [SY941: $i] :
( ~ ( r1 @ SV516 @ SY941 )
| ( SV534 @ SY941 ) ) )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2469]) ).
thf(2490,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ( ~ ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
| ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) ) )
= $false )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2470]) ).
thf(2491,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ( ~ ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) )
| ( SV536 @ ( sK177_SY947 @ SV536 @ SV518 ) ) )
= $false )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2471]) ).
thf(2492,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ( ~ ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
| ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) ) )
= $false )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2472]) ).
thf(2493,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ( ~ ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
| ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) ) )
= $false )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2473]) ).
thf(2494,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
| ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) ) )
= $false )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2474]) ).
thf(2495,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
| ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) ) )
= $false )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2475]) ).
thf(2496,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ( ~ ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
| ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) ) )
= $false )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2476]) ).
thf(2497,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
| ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) ) )
= $false )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2477]) ).
thf(2498,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ( ~ ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
| ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) ) )
= $false )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2478]) ).
thf(2499,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ( ~ ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) )
| ( SV544 @ ( sK185_SY969 @ SV544 @ SV526 ) ) )
= $false )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2479]) ).
thf(2500,plain,
! [SV545: $i > $o,SV527: $i] :
( ( ( ! [SY971: $i] :
( ~ ( r2 @ SV527 @ SY971 )
| ( SV545 @ SY971 ) ) )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2480]) ).
thf(2501,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ( ~ ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) )
| ( SV546 @ ( sK186_SY974 @ SV546 @ SV528 ) ) )
= $false )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2481]) ).
thf(2502,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ( ~ ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) ) )
= $false )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2482]) ).
thf(2503,plain,
! [SV511: $i,SV529: $i > $o] :
( ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2482]) ).
thf(2504,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) ) )
= $false )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2483]) ).
thf(2505,plain,
! [SV512: $i,SV530: $i > $o] :
( ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2483]) ).
thf(2506,plain,
( ( ! [SY976: $i] :
( ~ ( r3 @ sK169_SX0 @ SY976 )
| ( sK170_SY929 @ SY976 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2484]) ).
thf(2507,plain,
( ( ~ ( r1 @ sK169_SX0 @ sK173_SY977 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2485]) ).
thf(2508,plain,
( ( ~ ! [SY979: $i] :
( ~ ( r3 @ sK173_SY977 @ SY979 )
| ( sK170_SY929 @ SY979 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2485]) ).
thf(2509,plain,
! [SV531: $i > $o,SV547: $i,SV513: $i] :
( ( ( ~ ( r3 @ SV513 @ SV547 )
| ( SV531 @ SV547 ) )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2486]) ).
thf(2510,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) ) )
= $false )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2511,plain,
! [SV514: $i,SV532: $i > $o] :
( ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2512,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) ) )
= $false )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2513,plain,
! [SV515: $i,SV533: $i > $o] :
( ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2514,plain,
! [SV534: $i > $o,SV548: $i,SV516: $i] :
( ( ( ~ ( r1 @ SV516 @ SV548 )
| ( SV534 @ SV548 ) )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2489]) ).
thf(2515,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ( ~ ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) ) )
= $false )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2490]) ).
thf(2516,plain,
! [SV517: $i,SV535: $i > $o] :
( ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2490]) ).
thf(2517,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ( ~ ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) ) )
= $false )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2518,plain,
! [SV518: $i,SV536: $i > $o] :
( ( ( SV536 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $false )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2519,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ( ~ ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) ) )
= $false )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2520,plain,
! [SV519: $i,SV537: $i > $o] :
( ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2492]) ).
thf(2521,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ( ~ ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) ) )
= $false )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2522,plain,
! [SV520: $i,SV538: $i > $o] :
( ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2523,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) ) )
= $false )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2524,plain,
! [SV521: $i,SV539: $i > $o] :
( ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2525,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) ) )
= $false )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2526,plain,
! [SV522: $i,SV540: $i > $o] :
( ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2527,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ( ~ ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) ) )
= $false )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2528,plain,
! [SV523: $i,SV541: $i > $o] :
( ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2496]) ).
thf(2529,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) ) )
= $false )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2530,plain,
! [SV524: $i,SV542: $i > $o] :
( ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2531,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ( ~ ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) ) )
= $false )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2532,plain,
! [SV525: $i,SV543: $i > $o] :
( ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2498]) ).
thf(2533,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ( ~ ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) ) )
= $false )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2534,plain,
! [SV526: $i,SV544: $i > $o] :
( ( ( SV544 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $false )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2499]) ).
thf(2535,plain,
! [SV545: $i > $o,SV549: $i,SV527: $i] :
( ( ( ~ ( r2 @ SV527 @ SV549 )
| ( SV545 @ SV549 ) )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2536,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ( ~ ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) ) )
= $false )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2501]) ).
thf(2537,plain,
! [SV528: $i,SV546: $i > $o] :
( ( ( SV546 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $false )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2501]) ).
thf(2538,plain,
! [SV529: $i > $o,SV511: $i] :
( ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true )
| ( ( ! [SY925: $i] :
( ~ ( r3 @ SV511 @ SY925 )
| ! [SY926: $i] :
( ~ ( r1 @ SY925 @ SY926 )
| ( SV529 @ SY926 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2502]) ).
thf(2539,plain,
! [SV529: $i > $o,SV550: $i,SV511: $i] :
( ( ( ~ ( r3 @ SV511 @ SV550 )
| ! [SY980: $i] :
( ~ ( r1 @ SV550 @ SY980 )
| ( SV529 @ SY980 ) ) )
= $true )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2540,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true )
| ( ( ~ ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2504]) ).
thf(2541,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $false )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2505]) ).
thf(2542,plain,
( ( ~ ( r3 @ sK169_SX0 @ sK187_SY976 )
| ( sK170_SY929 @ sK187_SY976 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2506]) ).
thf(2543,plain,
( ( r1 @ sK169_SX0 @ sK173_SY977 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2544,plain,
( ( ! [SY979: $i] :
( ~ ( r3 @ sK173_SY977 @ SY979 )
| ( sK170_SY929 @ SY979 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2508]) ).
thf(2545,plain,
! [SV531: $i > $o,SV547: $i,SV513: $i] :
( ( ( ~ ( r3 @ SV513 @ SV547 ) )
= $true )
| ( ( SV531 @ SV547 )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2509]) ).
thf(2546,plain,
! [SV532: $i > $o,SV514: $i] :
( ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true )
| ( ( ! [SY937: $i] :
( ~ ( r2 @ SV514 @ SY937 )
| ! [SY938: $i] :
( ~ ( r2 @ SY937 @ SY938 )
| ( SV532 @ SY938 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2510]) ).
thf(2547,plain,
! [SV532: $i > $o,SV551: $i,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ SV551 )
| ! [SY981: $i] :
( ~ ( r2 @ SV551 @ SY981 )
| ( SV532 @ SY981 ) ) )
= $true )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2548,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true )
| ( ( ~ ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2512]) ).
thf(2549,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $false )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2550,plain,
! [SV534: $i > $o,SV548: $i,SV516: $i] :
( ( ( ~ ( r1 @ SV516 @ SV548 ) )
= $true )
| ( ( SV534 @ SV548 )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2514]) ).
thf(2551,plain,
! [SV535: $i > $o,SV517: $i] :
( ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true )
| ( ( ! [SY945: $i] :
( ~ ( r3 @ SV517 @ SY945 )
| ! [SY946: $i] :
( ~ ( r2 @ SY945 @ SY946 )
| ( SV535 @ SY946 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2515]) ).
thf(2552,plain,
! [SV535: $i > $o,SV552: $i,SV517: $i] :
( ( ( ~ ( r3 @ SV517 @ SV552 )
| ! [SY982: $i] :
( ~ ( r2 @ SV552 @ SY982 )
| ( SV535 @ SY982 ) ) )
= $true )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2553,plain,
! [SV536: $i > $o,SV518: $i] :
( ( ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $true )
| ( ( ! [SY948: $i] :
( ~ ( r1 @ SV518 @ SY948 )
| ( SV536 @ SY948 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2517]) ).
thf(2554,plain,
! [SV536: $i > $o,SV553: $i,SV518: $i] :
( ( ( ~ ( r1 @ SV518 @ SV553 )
| ( SV536 @ SV553 ) )
= $true )
| ( ( SV536 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2555,plain,
! [SV537: $i > $o,SV519: $i] :
( ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true )
| ( ( ! [SY950: $i] :
( ~ ( r2 @ SV519 @ SY950 )
| ! [SY951: $i] :
( ~ ( r1 @ SY950 @ SY951 )
| ( SV537 @ SY951 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2519]) ).
thf(2556,plain,
! [SV537: $i > $o,SV554: $i,SV519: $i] :
( ( ( ~ ( r2 @ SV519 @ SV554 )
| ! [SY983: $i] :
( ~ ( r1 @ SV554 @ SY983 )
| ( SV537 @ SY983 ) ) )
= $true )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2557,plain,
! [SV538: $i > $o,SV520: $i] :
( ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true )
| ( ( ! [SY953: $i] :
( ~ ( r1 @ SV520 @ SY953 )
| ! [SY954: $i] :
( ~ ( r2 @ SY953 @ SY954 )
| ( SV538 @ SY954 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2521]) ).
thf(2558,plain,
! [SV538: $i > $o,SV555: $i,SV520: $i] :
( ( ( ~ ( r1 @ SV520 @ SV555 )
| ! [SY984: $i] :
( ~ ( r2 @ SV555 @ SY984 )
| ( SV538 @ SY984 ) ) )
= $true )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2559,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true )
| ( ( ~ ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2523]) ).
thf(2560,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $false )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2524]) ).
thf(2561,plain,
! [SV540: $i > $o,SV522: $i] :
( ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true )
| ( ( ! [SY958: $i] :
( ~ ( r1 @ SV522 @ SY958 )
| ! [SY959: $i] :
( ~ ( r1 @ SY958 @ SY959 )
| ( SV540 @ SY959 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2525]) ).
thf(2562,plain,
! [SV540: $i > $o,SV556: $i,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ SV556 )
| ! [SY985: $i] :
( ~ ( r1 @ SV556 @ SY985 )
| ( SV540 @ SY985 ) ) )
= $true )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(2563,plain,
! [SV541: $i > $o,SV523: $i] :
( ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true )
| ( ( ! [SY961: $i] :
( ~ ( r2 @ SV523 @ SY961 )
| ! [SY962: $i] :
( ~ ( r3 @ SY961 @ SY962 )
| ( SV541 @ SY962 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2564,plain,
! [SV541: $i > $o,SV557: $i,SV523: $i] :
( ( ( ~ ( r2 @ SV523 @ SV557 )
| ! [SY986: $i] :
( ~ ( r3 @ SV557 @ SY986 )
| ( SV541 @ SY986 ) ) )
= $true )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2565,plain,
! [SV542: $i > $o,SV524: $i] :
( ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true )
| ( ( ! [SY964: $i] :
( ~ ( r3 @ SV524 @ SY964 )
| ! [SY965: $i] :
( ~ ( r3 @ SY964 @ SY965 )
| ( SV542 @ SY965 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2529]) ).
thf(2566,plain,
! [SV542: $i > $o,SV558: $i,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ SV558 )
| ! [SY987: $i] :
( ~ ( r3 @ SV558 @ SY987 )
| ( SV542 @ SY987 ) ) )
= $true )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2567,plain,
! [SV543: $i > $o,SV525: $i] :
( ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true )
| ( ( ! [SY967: $i] :
( ~ ( r1 @ SV525 @ SY967 )
| ! [SY968: $i] :
( ~ ( r3 @ SY967 @ SY968 )
| ( SV543 @ SY968 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2531]) ).
thf(2568,plain,
! [SV543: $i > $o,SV559: $i,SV525: $i] :
( ( ( ~ ( r1 @ SV525 @ SV559 )
| ! [SY988: $i] :
( ~ ( r3 @ SV559 @ SY988 )
| ( SV543 @ SY988 ) ) )
= $true )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2569,plain,
! [SV544: $i > $o,SV526: $i] :
( ( ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $true )
| ( ( ! [SY970: $i] :
( ~ ( r2 @ SV526 @ SY970 )
| ( SV544 @ SY970 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2533]) ).
thf(2570,plain,
! [SV544: $i > $o,SV560: $i,SV526: $i] :
( ( ( ~ ( r2 @ SV526 @ SV560 )
| ( SV544 @ SV560 ) )
= $true )
| ( ( SV544 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2571,plain,
! [SV545: $i > $o,SV549: $i,SV527: $i] :
( ( ( ~ ( r2 @ SV527 @ SV549 ) )
= $true )
| ( ( SV545 @ SV549 )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2572,plain,
! [SV546: $i > $o,SV528: $i] :
( ( ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $true )
| ( ( ! [SY975: $i] :
( ~ ( r1 @ SV528 @ SY975 )
| ( SV546 @ SY975 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2536]) ).
thf(2573,plain,
! [SV546: $i > $o,SV561: $i,SV528: $i] :
( ( ( ~ ( r1 @ SV528 @ SV561 )
| ( SV546 @ SV561 ) )
= $true )
| ( ( SV546 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2574,plain,
! [SV529: $i > $o,SV562: $i,SV511: $i] :
( ( ( ~ ( r3 @ SV511 @ SV562 )
| ! [SY989: $i] :
( ~ ( r1 @ SV562 @ SY989 )
| ( SV529 @ SY989 ) ) )
= $true )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2575,plain,
! [SV529: $i > $o,SV550: $i,SV511: $i] :
( ( ( ~ ( r3 @ SV511 @ SV550 ) )
= $true )
| ( ( ! [SY980: $i] :
( ~ ( r1 @ SV550 @ SY980 )
| ( SV529 @ SY980 ) ) )
= $true )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2539]) ).
thf(2576,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ! [SY928: $i] :
( ~ ( r2 @ SV512 @ SY928 )
| ~ ( SV530 @ SY928 ) ) )
= $false )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2577,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK188_SY928 @ SV530 @ SV512 ) )
| ~ ( SV530 @ ( sK188_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2541]) ).
thf(2578,plain,
( ( ~ ( r3 @ sK169_SX0 @ sK187_SY976 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2542]) ).
thf(2579,plain,
( ( sK170_SY929 @ sK187_SY976 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2542]) ).
thf(2580,plain,
! [SV563: $i] :
( ( ~ ( r3 @ sK173_SY977 @ SV563 )
| ( sK170_SY929 @ SV563 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(2581,plain,
! [SV531: $i > $o,SV547: $i,SV513: $i] :
( ( ( r3 @ SV513 @ SV547 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( ! [SY934: $i] :
( ~ ( r3 @ SV513 @ SY934 )
| ~ ! [SY935: $i] :
( ~ ( r3 @ SY934 @ SY935 )
| ( SV531 @ SY935 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2545]) ).
thf(2582,plain,
! [SV532: $i > $o,SV564: $i,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ SV564 )
| ! [SY990: $i] :
( ~ ( r2 @ SV564 @ SY990 )
| ( SV532 @ SY990 ) ) )
= $true )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(2583,plain,
! [SV532: $i > $o,SV551: $i,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ SV551 ) )
= $true )
| ( ( ! [SY981: $i] :
( ~ ( r2 @ SV551 @ SY981 )
| ( SV532 @ SY981 ) ) )
= $true )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(2584,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ! [SY940: $i] :
( ~ ( r3 @ SV515 @ SY940 )
| ~ ( SV533 @ SY940 ) ) )
= $false )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2585,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK189_SY940 @ SV533 @ SV515 ) )
| ~ ( SV533 @ ( sK189_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2549]) ).
thf(2586,plain,
! [SV534: $i > $o,SV548: $i,SV516: $i] :
( ( ( r1 @ SV516 @ SV548 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( ! [SY942: $i] :
( ~ ( r1 @ SV516 @ SY942 )
| ~ ! [SY943: $i] :
( ~ ( r1 @ SY942 @ SY943 )
| ( SV534 @ SY943 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2587,plain,
! [SV535: $i > $o,SV565: $i,SV517: $i] :
( ( ( ~ ( r3 @ SV517 @ SV565 )
| ! [SY991: $i] :
( ~ ( r2 @ SV565 @ SY991 )
| ( SV535 @ SY991 ) ) )
= $true )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2551]) ).
thf(2588,plain,
! [SV535: $i > $o,SV552: $i,SV517: $i] :
( ( ( ~ ( r3 @ SV517 @ SV552 ) )
= $true )
| ( ( ! [SY982: $i] :
( ~ ( r2 @ SV552 @ SY982 )
| ( SV535 @ SY982 ) ) )
= $true )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2552]) ).
thf(2589,plain,
! [SV536: $i > $o,SV566: $i,SV518: $i] :
( ( ( ~ ( r1 @ SV518 @ SV566 )
| ( SV536 @ SV566 ) )
= $true )
| ( ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(2590,plain,
! [SV536: $i > $o,SV553: $i,SV518: $i] :
( ( ( ~ ( r1 @ SV518 @ SV553 ) )
= $true )
| ( ( SV536 @ SV553 )
= $true )
| ( ( SV536 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2554]) ).
thf(2591,plain,
! [SV537: $i > $o,SV567: $i,SV519: $i] :
( ( ( ~ ( r2 @ SV519 @ SV567 )
| ! [SY992: $i] :
( ~ ( r1 @ SV567 @ SY992 )
| ( SV537 @ SY992 ) ) )
= $true )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(2592,plain,
! [SV537: $i > $o,SV554: $i,SV519: $i] :
( ( ( ~ ( r2 @ SV519 @ SV554 ) )
= $true )
| ( ( ! [SY983: $i] :
( ~ ( r1 @ SV554 @ SY983 )
| ( SV537 @ SY983 ) ) )
= $true )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(2593,plain,
! [SV538: $i > $o,SV568: $i,SV520: $i] :
( ( ( ~ ( r1 @ SV520 @ SV568 )
| ! [SY993: $i] :
( ~ ( r2 @ SV568 @ SY993 )
| ( SV538 @ SY993 ) ) )
= $true )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(2594,plain,
! [SV538: $i > $o,SV555: $i,SV520: $i] :
( ( ( ~ ( r1 @ SV520 @ SV555 ) )
= $true )
| ( ( ! [SY984: $i] :
( ~ ( r2 @ SV555 @ SY984 )
| ( SV538 @ SY984 ) ) )
= $true )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(2595,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ! [SY956: $i] :
( ~ ( r1 @ SV521 @ SY956 )
| ~ ( SV539 @ SY956 ) ) )
= $false )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2596,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK190_SY956 @ SV539 @ SV521 ) )
| ~ ( SV539 @ ( sK190_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2560]) ).
thf(2597,plain,
! [SV540: $i > $o,SV569: $i,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ SV569 )
| ! [SY994: $i] :
( ~ ( r1 @ SV569 @ SY994 )
| ( SV540 @ SY994 ) ) )
= $true )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2561]) ).
thf(2598,plain,
! [SV540: $i > $o,SV556: $i,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ SV556 ) )
= $true )
| ( ( ! [SY985: $i] :
( ~ ( r1 @ SV556 @ SY985 )
| ( SV540 @ SY985 ) ) )
= $true )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(2599,plain,
! [SV541: $i > $o,SV570: $i,SV523: $i] :
( ( ( ~ ( r2 @ SV523 @ SV570 )
| ! [SY995: $i] :
( ~ ( r3 @ SV570 @ SY995 )
| ( SV541 @ SY995 ) ) )
= $true )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2600,plain,
! [SV541: $i > $o,SV557: $i,SV523: $i] :
( ( ( ~ ( r2 @ SV523 @ SV557 ) )
= $true )
| ( ( ! [SY986: $i] :
( ~ ( r3 @ SV557 @ SY986 )
| ( SV541 @ SY986 ) ) )
= $true )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2564]) ).
thf(2601,plain,
! [SV542: $i > $o,SV571: $i,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ SV571 )
| ! [SY996: $i] :
( ~ ( r3 @ SV571 @ SY996 )
| ( SV542 @ SY996 ) ) )
= $true )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(2602,plain,
! [SV542: $i > $o,SV558: $i,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ SV558 ) )
= $true )
| ( ( ! [SY987: $i] :
( ~ ( r3 @ SV558 @ SY987 )
| ( SV542 @ SY987 ) ) )
= $true )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2566]) ).
thf(2603,plain,
! [SV543: $i > $o,SV572: $i,SV525: $i] :
( ( ( ~ ( r1 @ SV525 @ SV572 )
| ! [SY997: $i] :
( ~ ( r3 @ SV572 @ SY997 )
| ( SV543 @ SY997 ) ) )
= $true )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2567]) ).
thf(2604,plain,
! [SV543: $i > $o,SV559: $i,SV525: $i] :
( ( ( ~ ( r1 @ SV525 @ SV559 ) )
= $true )
| ( ( ! [SY988: $i] :
( ~ ( r3 @ SV559 @ SY988 )
| ( SV543 @ SY988 ) ) )
= $true )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2568]) ).
thf(2605,plain,
! [SV544: $i > $o,SV573: $i,SV526: $i] :
( ( ( ~ ( r2 @ SV526 @ SV573 )
| ( SV544 @ SV573 ) )
= $true )
| ( ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(2606,plain,
! [SV544: $i > $o,SV560: $i,SV526: $i] :
( ( ( ~ ( r2 @ SV526 @ SV560 ) )
= $true )
| ( ( SV544 @ SV560 )
= $true )
| ( ( SV544 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2570]) ).
thf(2607,plain,
! [SV545: $i > $o,SV549: $i,SV527: $i] :
( ( ( r2 @ SV527 @ SV549 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( ! [SY972: $i] :
( ~ ( r2 @ SV527 @ SY972 )
| ~ ! [SY973: $i] :
( ~ ( r2 @ SY972 @ SY973 )
| ( SV545 @ SY973 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2571]) ).
thf(2608,plain,
! [SV546: $i > $o,SV574: $i,SV528: $i] :
( ( ( ~ ( r1 @ SV528 @ SV574 )
| ( SV546 @ SV574 ) )
= $true )
| ( ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(2609,plain,
! [SV546: $i > $o,SV561: $i,SV528: $i] :
( ( ( ~ ( r1 @ SV528 @ SV561 ) )
= $true )
| ( ( SV546 @ SV561 )
= $true )
| ( ( SV546 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2573]) ).
thf(2610,plain,
! [SV529: $i > $o,SV562: $i,SV511: $i] :
( ( ( ~ ( r3 @ SV511 @ SV562 ) )
= $true )
| ( ( ! [SY989: $i] :
( ~ ( r1 @ SV562 @ SY989 )
| ( SV529 @ SY989 ) ) )
= $true )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2574]) ).
thf(2611,plain,
! [SV529: $i > $o,SV550: $i,SV511: $i] :
( ( ( r3 @ SV511 @ SV550 )
= $false )
| ( ( ! [SY980: $i] :
( ~ ( r1 @ SV550 @ SY980 )
| ( SV529 @ SY980 ) ) )
= $true )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2575]) ).
thf(2612,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK191_SY928 @ SV530 @ SV512 ) )
| ~ ( SV530 @ ( sK191_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2576]) ).
thf(2613,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK188_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2614,plain,
! [SV512: $i,SV530: $i > $o] :
( ( ( ~ ( SV530 @ ( sK188_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2577]) ).
thf(2615,plain,
( ( r3 @ sK169_SX0 @ sK187_SY976 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2616,plain,
! [SV563: $i] :
( ( ( ~ ( r3 @ sK173_SY977 @ SV563 ) )
= $true )
| ( ( sK170_SY929 @ SV563 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2580]) ).
thf(2617,plain,
! [SV547: $i,SV531: $i > $o,SV575: $i,SV513: $i] :
( ( ( ~ ( r3 @ SV513 @ SV575 )
| ~ ! [SY998: $i] :
( ~ ( r3 @ SV575 @ SY998 )
| ( SV531 @ SY998 ) ) )
= $true )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(2618,plain,
! [SV532: $i > $o,SV564: $i,SV514: $i] :
( ( ( ~ ( r2 @ SV514 @ SV564 ) )
= $true )
| ( ( ! [SY990: $i] :
( ~ ( r2 @ SV564 @ SY990 )
| ( SV532 @ SY990 ) ) )
= $true )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2582]) ).
thf(2619,plain,
! [SV532: $i > $o,SV551: $i,SV514: $i] :
( ( ( r2 @ SV514 @ SV551 )
= $false )
| ( ( ! [SY981: $i] :
( ~ ( r2 @ SV551 @ SY981 )
| ( SV532 @ SY981 ) ) )
= $true )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2583]) ).
thf(2620,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK192_SY940 @ SV533 @ SV515 ) )
| ~ ( SV533 @ ( sK192_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2584]) ).
thf(2621,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK189_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2585]) ).
thf(2622,plain,
! [SV515: $i,SV533: $i > $o] :
( ( ( ~ ( SV533 @ ( sK189_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2585]) ).
thf(2623,plain,
! [SV548: $i,SV534: $i > $o,SV576: $i,SV516: $i] :
( ( ( ~ ( r1 @ SV516 @ SV576 )
| ~ ! [SY999: $i] :
( ~ ( r1 @ SV576 @ SY999 )
| ( SV534 @ SY999 ) ) )
= $true )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2624,plain,
! [SV535: $i > $o,SV565: $i,SV517: $i] :
( ( ( ~ ( r3 @ SV517 @ SV565 ) )
= $true )
| ( ( ! [SY991: $i] :
( ~ ( r2 @ SV565 @ SY991 )
| ( SV535 @ SY991 ) ) )
= $true )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2587]) ).
thf(2625,plain,
! [SV535: $i > $o,SV552: $i,SV517: $i] :
( ( ( r3 @ SV517 @ SV552 )
= $false )
| ( ( ! [SY982: $i] :
( ~ ( r2 @ SV552 @ SY982 )
| ( SV535 @ SY982 ) ) )
= $true )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2626,plain,
! [SV536: $i > $o,SV566: $i,SV518: $i] :
( ( ( ~ ( r1 @ SV518 @ SV566 ) )
= $true )
| ( ( SV536 @ SV566 )
= $true )
| ( ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(2627,plain,
! [SV536: $i > $o,SV553: $i,SV518: $i] :
( ( ( r1 @ SV518 @ SV553 )
= $false )
| ( ( SV536 @ SV553 )
= $true )
| ( ( SV536 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2628,plain,
! [SV537: $i > $o,SV567: $i,SV519: $i] :
( ( ( ~ ( r2 @ SV519 @ SV567 ) )
= $true )
| ( ( ! [SY992: $i] :
( ~ ( r1 @ SV567 @ SY992 )
| ( SV537 @ SY992 ) ) )
= $true )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(2629,plain,
! [SV537: $i > $o,SV554: $i,SV519: $i] :
( ( ( r2 @ SV519 @ SV554 )
= $false )
| ( ( ! [SY983: $i] :
( ~ ( r1 @ SV554 @ SY983 )
| ( SV537 @ SY983 ) ) )
= $true )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2592]) ).
thf(2630,plain,
! [SV538: $i > $o,SV568: $i,SV520: $i] :
( ( ( ~ ( r1 @ SV520 @ SV568 ) )
= $true )
| ( ( ! [SY993: $i] :
( ~ ( r2 @ SV568 @ SY993 )
| ( SV538 @ SY993 ) ) )
= $true )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2593]) ).
thf(2631,plain,
! [SV538: $i > $o,SV555: $i,SV520: $i] :
( ( ( r1 @ SV520 @ SV555 )
= $false )
| ( ( ! [SY984: $i] :
( ~ ( r2 @ SV555 @ SY984 )
| ( SV538 @ SY984 ) ) )
= $true )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2632,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK193_SY956 @ SV539 @ SV521 ) )
| ~ ( SV539 @ ( sK193_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2595]) ).
thf(2633,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK190_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2634,plain,
! [SV521: $i,SV539: $i > $o] :
( ( ( ~ ( SV539 @ ( sK190_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2635,plain,
! [SV540: $i > $o,SV569: $i,SV522: $i] :
( ( ( ~ ( r1 @ SV522 @ SV569 ) )
= $true )
| ( ( ! [SY994: $i] :
( ~ ( r1 @ SV569 @ SY994 )
| ( SV540 @ SY994 ) ) )
= $true )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(2636,plain,
! [SV540: $i > $o,SV556: $i,SV522: $i] :
( ( ( r1 @ SV522 @ SV556 )
= $false )
| ( ( ! [SY985: $i] :
( ~ ( r1 @ SV556 @ SY985 )
| ( SV540 @ SY985 ) ) )
= $true )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2598]) ).
thf(2637,plain,
! [SV541: $i > $o,SV570: $i,SV523: $i] :
( ( ( ~ ( r2 @ SV523 @ SV570 ) )
= $true )
| ( ( ! [SY995: $i] :
( ~ ( r3 @ SV570 @ SY995 )
| ( SV541 @ SY995 ) ) )
= $true )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2599]) ).
thf(2638,plain,
! [SV541: $i > $o,SV557: $i,SV523: $i] :
( ( ( r2 @ SV523 @ SV557 )
= $false )
| ( ( ! [SY986: $i] :
( ~ ( r3 @ SV557 @ SY986 )
| ( SV541 @ SY986 ) ) )
= $true )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2600]) ).
thf(2639,plain,
! [SV542: $i > $o,SV571: $i,SV524: $i] :
( ( ( ~ ( r3 @ SV524 @ SV571 ) )
= $true )
| ( ( ! [SY996: $i] :
( ~ ( r3 @ SV571 @ SY996 )
| ( SV542 @ SY996 ) ) )
= $true )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(2640,plain,
! [SV542: $i > $o,SV558: $i,SV524: $i] :
( ( ( r3 @ SV524 @ SV558 )
= $false )
| ( ( ! [SY987: $i] :
( ~ ( r3 @ SV558 @ SY987 )
| ( SV542 @ SY987 ) ) )
= $true )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2602]) ).
thf(2641,plain,
! [SV543: $i > $o,SV572: $i,SV525: $i] :
( ( ( ~ ( r1 @ SV525 @ SV572 ) )
= $true )
| ( ( ! [SY997: $i] :
( ~ ( r3 @ SV572 @ SY997 )
| ( SV543 @ SY997 ) ) )
= $true )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2603]) ).
thf(2642,plain,
! [SV543: $i > $o,SV559: $i,SV525: $i] :
( ( ( r1 @ SV525 @ SV559 )
= $false )
| ( ( ! [SY988: $i] :
( ~ ( r3 @ SV559 @ SY988 )
| ( SV543 @ SY988 ) ) )
= $true )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2643,plain,
! [SV544: $i > $o,SV573: $i,SV526: $i] :
( ( ( ~ ( r2 @ SV526 @ SV573 ) )
= $true )
| ( ( SV544 @ SV573 )
= $true )
| ( ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2605]) ).
thf(2644,plain,
! [SV544: $i > $o,SV560: $i,SV526: $i] :
( ( ( r2 @ SV526 @ SV560 )
= $false )
| ( ( SV544 @ SV560 )
= $true )
| ( ( SV544 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2645,plain,
! [SV549: $i,SV545: $i > $o,SV577: $i,SV527: $i] :
( ( ( ~ ( r2 @ SV527 @ SV577 )
| ~ ! [SY1000: $i] :
( ~ ( r2 @ SV577 @ SY1000 )
| ( SV545 @ SY1000 ) ) )
= $true )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2646,plain,
! [SV546: $i > $o,SV574: $i,SV528: $i] :
( ( ( ~ ( r1 @ SV528 @ SV574 ) )
= $true )
| ( ( SV546 @ SV574 )
= $true )
| ( ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2608]) ).
thf(2647,plain,
! [SV546: $i > $o,SV561: $i,SV528: $i] :
( ( ( r1 @ SV528 @ SV561 )
= $false )
| ( ( SV546 @ SV561 )
= $true )
| ( ( SV546 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2648,plain,
! [SV529: $i > $o,SV562: $i,SV511: $i] :
( ( ( r3 @ SV511 @ SV562 )
= $false )
| ( ( ! [SY989: $i] :
( ~ ( r1 @ SV562 @ SY989 )
| ( SV529 @ SY989 ) ) )
= $true )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2610]) ).
thf(2649,plain,
! [SV511: $i,SV529: $i > $o,SV578: $i,SV550: $i] :
( ( ( ~ ( r1 @ SV550 @ SV578 )
| ( SV529 @ SV578 ) )
= $true )
| ( ( r3 @ SV511 @ SV550 )
= $false )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2650,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( ~ ( r2 @ SV512 @ ( sK191_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2612]) ).
thf(2651,plain,
! [SV512: $i,SV530: $i > $o] :
( ( ( ~ ( SV530 @ ( sK191_SY928 @ SV530 @ SV512 ) ) )
= $false )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2612]) ).
thf(2652,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( r2 @ SV512 @ ( sK188_SY928 @ SV530 @ SV512 ) )
= $true )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2653,plain,
! [SV512: $i,SV530: $i > $o] :
( ( ( SV530 @ ( sK188_SY928 @ SV530 @ SV512 ) )
= $true )
| ( ( SV530 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2654,plain,
! [SV563: $i] :
( ( ( r3 @ sK173_SY977 @ SV563 )
= $false )
| ( ( sK170_SY929 @ SV563 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2616]) ).
thf(2655,plain,
! [SV547: $i,SV531: $i > $o,SV575: $i,SV513: $i] :
( ( ( ~ ( r3 @ SV513 @ SV575 ) )
= $true )
| ( ( ~ ! [SY998: $i] :
( ~ ( r3 @ SV575 @ SY998 )
| ( SV531 @ SY998 ) ) )
= $true )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2656,plain,
! [SV532: $i > $o,SV564: $i,SV514: $i] :
( ( ( r2 @ SV514 @ SV564 )
= $false )
| ( ( ! [SY990: $i] :
( ~ ( r2 @ SV564 @ SY990 )
| ( SV532 @ SY990 ) ) )
= $true )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2618]) ).
thf(2657,plain,
! [SV514: $i,SV532: $i > $o,SV579: $i,SV551: $i] :
( ( ( ~ ( r2 @ SV551 @ SV579 )
| ( SV532 @ SV579 ) )
= $true )
| ( ( r2 @ SV514 @ SV551 )
= $false )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(2658,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( ~ ( r3 @ SV515 @ ( sK192_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2659,plain,
! [SV515: $i,SV533: $i > $o] :
( ( ( ~ ( SV533 @ ( sK192_SY940 @ SV533 @ SV515 ) ) )
= $false )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2660,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( r3 @ SV515 @ ( sK189_SY940 @ SV533 @ SV515 ) )
= $true )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2621]) ).
thf(2661,plain,
! [SV515: $i,SV533: $i > $o] :
( ( ( SV533 @ ( sK189_SY940 @ SV533 @ SV515 ) )
= $true )
| ( ( SV533 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2622]) ).
thf(2662,plain,
! [SV548: $i,SV534: $i > $o,SV576: $i,SV516: $i] :
( ( ( ~ ( r1 @ SV516 @ SV576 ) )
= $true )
| ( ( ~ ! [SY999: $i] :
( ~ ( r1 @ SV576 @ SY999 )
| ( SV534 @ SY999 ) ) )
= $true )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2623]) ).
thf(2663,plain,
! [SV535: $i > $o,SV565: $i,SV517: $i] :
( ( ( r3 @ SV517 @ SV565 )
= $false )
| ( ( ! [SY991: $i] :
( ~ ( r2 @ SV565 @ SY991 )
| ( SV535 @ SY991 ) ) )
= $true )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2624]) ).
thf(2664,plain,
! [SV517: $i,SV535: $i > $o,SV580: $i,SV552: $i] :
( ( ( ~ ( r2 @ SV552 @ SV580 )
| ( SV535 @ SV580 ) )
= $true )
| ( ( r3 @ SV517 @ SV552 )
= $false )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2665,plain,
! [SV536: $i > $o,SV566: $i,SV518: $i] :
( ( ( r1 @ SV518 @ SV566 )
= $false )
| ( ( SV536 @ SV566 )
= $true )
| ( ( r3 @ SV518 @ ( sK177_SY947 @ SV536 @ SV518 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2666,plain,
! [SV537: $i > $o,SV567: $i,SV519: $i] :
( ( ( r2 @ SV519 @ SV567 )
= $false )
| ( ( ! [SY992: $i] :
( ~ ( r1 @ SV567 @ SY992 )
| ( SV537 @ SY992 ) ) )
= $true )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2628]) ).
thf(2667,plain,
! [SV519: $i,SV537: $i > $o,SV581: $i,SV554: $i] :
( ( ( ~ ( r1 @ SV554 @ SV581 )
| ( SV537 @ SV581 ) )
= $true )
| ( ( r2 @ SV519 @ SV554 )
= $false )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2668,plain,
! [SV538: $i > $o,SV568: $i,SV520: $i] :
( ( ( r1 @ SV520 @ SV568 )
= $false )
| ( ( ! [SY993: $i] :
( ~ ( r2 @ SV568 @ SY993 )
| ( SV538 @ SY993 ) ) )
= $true )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2630]) ).
thf(2669,plain,
! [SV520: $i,SV538: $i > $o,SV582: $i,SV555: $i] :
( ( ( ~ ( r2 @ SV555 @ SV582 )
| ( SV538 @ SV582 ) )
= $true )
| ( ( r1 @ SV520 @ SV555 )
= $false )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2670,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( ~ ( r1 @ SV521 @ ( sK193_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2671,plain,
! [SV521: $i,SV539: $i > $o] :
( ( ( ~ ( SV539 @ ( sK193_SY956 @ SV539 @ SV521 ) ) )
= $false )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2632]) ).
thf(2672,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( r1 @ SV521 @ ( sK190_SY956 @ SV539 @ SV521 ) )
= $true )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2673,plain,
! [SV521: $i,SV539: $i > $o] :
( ( ( SV539 @ ( sK190_SY956 @ SV539 @ SV521 ) )
= $true )
| ( ( SV539 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2674,plain,
! [SV540: $i > $o,SV569: $i,SV522: $i] :
( ( ( r1 @ SV522 @ SV569 )
= $false )
| ( ( ! [SY994: $i] :
( ~ ( r1 @ SV569 @ SY994 )
| ( SV540 @ SY994 ) ) )
= $true )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2635]) ).
thf(2675,plain,
! [SV522: $i,SV540: $i > $o,SV583: $i,SV556: $i] :
( ( ( ~ ( r1 @ SV556 @ SV583 )
| ( SV540 @ SV583 ) )
= $true )
| ( ( r1 @ SV522 @ SV556 )
= $false )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2676,plain,
! [SV541: $i > $o,SV570: $i,SV523: $i] :
( ( ( r2 @ SV523 @ SV570 )
= $false )
| ( ( ! [SY995: $i] :
( ~ ( r3 @ SV570 @ SY995 )
| ( SV541 @ SY995 ) ) )
= $true )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2637]) ).
thf(2677,plain,
! [SV523: $i,SV541: $i > $o,SV584: $i,SV557: $i] :
( ( ( ~ ( r3 @ SV557 @ SV584 )
| ( SV541 @ SV584 ) )
= $true )
| ( ( r2 @ SV523 @ SV557 )
= $false )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2678,plain,
! [SV542: $i > $o,SV571: $i,SV524: $i] :
( ( ( r3 @ SV524 @ SV571 )
= $false )
| ( ( ! [SY996: $i] :
( ~ ( r3 @ SV571 @ SY996 )
| ( SV542 @ SY996 ) ) )
= $true )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2679,plain,
! [SV524: $i,SV542: $i > $o,SV585: $i,SV558: $i] :
( ( ( ~ ( r3 @ SV558 @ SV585 )
| ( SV542 @ SV585 ) )
= $true )
| ( ( r3 @ SV524 @ SV558 )
= $false )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(2680,plain,
! [SV543: $i > $o,SV572: $i,SV525: $i] :
( ( ( r1 @ SV525 @ SV572 )
= $false )
| ( ( ! [SY997: $i] :
( ~ ( r3 @ SV572 @ SY997 )
| ( SV543 @ SY997 ) ) )
= $true )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2681,plain,
! [SV525: $i,SV543: $i > $o,SV586: $i,SV559: $i] :
( ( ( ~ ( r3 @ SV559 @ SV586 )
| ( SV543 @ SV586 ) )
= $true )
| ( ( r1 @ SV525 @ SV559 )
= $false )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(2682,plain,
! [SV544: $i > $o,SV573: $i,SV526: $i] :
( ( ( r2 @ SV526 @ SV573 )
= $false )
| ( ( SV544 @ SV573 )
= $true )
| ( ( r3 @ SV526 @ ( sK185_SY969 @ SV544 @ SV526 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2683,plain,
! [SV549: $i,SV545: $i > $o,SV577: $i,SV527: $i] :
( ( ( ~ ( r2 @ SV527 @ SV577 ) )
= $true )
| ( ( ~ ! [SY1000: $i] :
( ~ ( r2 @ SV577 @ SY1000 )
| ( SV545 @ SY1000 ) ) )
= $true )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(2684,plain,
! [SV546: $i > $o,SV574: $i,SV528: $i] :
( ( ( r1 @ SV528 @ SV574 )
= $false )
| ( ( SV546 @ SV574 )
= $true )
| ( ( r2 @ SV528 @ ( sK186_SY974 @ SV546 @ SV528 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2646]) ).
thf(2685,plain,
! [SV511: $i,SV529: $i > $o,SV587: $i,SV562: $i] :
( ( ( ~ ( r1 @ SV562 @ SV587 )
| ( SV529 @ SV587 ) )
= $true )
| ( ( r3 @ SV511 @ SV562 )
= $false )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2686,plain,
! [SV511: $i,SV529: $i > $o,SV578: $i,SV550: $i] :
( ( ( ~ ( r1 @ SV550 @ SV578 ) )
= $true )
| ( ( SV529 @ SV578 )
= $true )
| ( ( r3 @ SV511 @ SV550 )
= $false )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2649]) ).
thf(2687,plain,
! [SV530: $i > $o,SV512: $i] :
( ( ( r2 @ SV512 @ ( sK191_SY928 @ SV530 @ SV512 ) )
= $true )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2650]) ).
thf(2688,plain,
! [SV512: $i,SV530: $i > $o] :
( ( ( SV530 @ ( sK191_SY928 @ SV530 @ SV512 ) )
= $true )
| ( ( r2 @ SV512 @ ( sK172_SY927 @ SV530 @ SV512 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2651]) ).
thf(2689,plain,
! [SV547: $i,SV531: $i > $o,SV575: $i,SV513: $i] :
( ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( ~ ! [SY998: $i] :
( ~ ( r3 @ SV575 @ SY998 )
| ( SV531 @ SY998 ) ) )
= $true )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2655]) ).
thf(2690,plain,
! [SV514: $i,SV532: $i > $o,SV588: $i,SV564: $i] :
( ( ( ~ ( r2 @ SV564 @ SV588 )
| ( SV532 @ SV588 ) )
= $true )
| ( ( r2 @ SV514 @ SV564 )
= $false )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(2691,plain,
! [SV514: $i,SV532: $i > $o,SV579: $i,SV551: $i] :
( ( ( ~ ( r2 @ SV551 @ SV579 ) )
= $true )
| ( ( SV532 @ SV579 )
= $true )
| ( ( r2 @ SV514 @ SV551 )
= $false )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2657]) ).
thf(2692,plain,
! [SV533: $i > $o,SV515: $i] :
( ( ( r3 @ SV515 @ ( sK192_SY940 @ SV533 @ SV515 ) )
= $true )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2658]) ).
thf(2693,plain,
! [SV515: $i,SV533: $i > $o] :
( ( ( SV533 @ ( sK192_SY940 @ SV533 @ SV515 ) )
= $true )
| ( ( r3 @ SV515 @ ( sK175_SY939 @ SV533 @ SV515 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2659]) ).
thf(2694,plain,
! [SV548: $i,SV534: $i > $o,SV576: $i,SV516: $i] :
( ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( ~ ! [SY999: $i] :
( ~ ( r1 @ SV576 @ SY999 )
| ( SV534 @ SY999 ) ) )
= $true )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2662]) ).
thf(2695,plain,
! [SV517: $i,SV535: $i > $o,SV589: $i,SV565: $i] :
( ( ( ~ ( r2 @ SV565 @ SV589 )
| ( SV535 @ SV589 ) )
= $true )
| ( ( r3 @ SV517 @ SV565 )
= $false )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2663]) ).
thf(2696,plain,
! [SV517: $i,SV535: $i > $o,SV580: $i,SV552: $i] :
( ( ( ~ ( r2 @ SV552 @ SV580 ) )
= $true )
| ( ( SV535 @ SV580 )
= $true )
| ( ( r3 @ SV517 @ SV552 )
= $false )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2664]) ).
thf(2697,plain,
! [SV519: $i,SV537: $i > $o,SV590: $i,SV567: $i] :
( ( ( ~ ( r1 @ SV567 @ SV590 )
| ( SV537 @ SV590 ) )
= $true )
| ( ( r2 @ SV519 @ SV567 )
= $false )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2666]) ).
thf(2698,plain,
! [SV519: $i,SV537: $i > $o,SV581: $i,SV554: $i] :
( ( ( ~ ( r1 @ SV554 @ SV581 ) )
= $true )
| ( ( SV537 @ SV581 )
= $true )
| ( ( r2 @ SV519 @ SV554 )
= $false )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2667]) ).
thf(2699,plain,
! [SV520: $i,SV538: $i > $o,SV591: $i,SV568: $i] :
( ( ( ~ ( r2 @ SV568 @ SV591 )
| ( SV538 @ SV591 ) )
= $true )
| ( ( r1 @ SV520 @ SV568 )
= $false )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(2700,plain,
! [SV520: $i,SV538: $i > $o,SV582: $i,SV555: $i] :
( ( ( ~ ( r2 @ SV555 @ SV582 ) )
= $true )
| ( ( SV538 @ SV582 )
= $true )
| ( ( r1 @ SV520 @ SV555 )
= $false )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2669]) ).
thf(2701,plain,
! [SV539: $i > $o,SV521: $i] :
( ( ( r1 @ SV521 @ ( sK193_SY956 @ SV539 @ SV521 ) )
= $true )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2670]) ).
thf(2702,plain,
! [SV521: $i,SV539: $i > $o] :
( ( ( SV539 @ ( sK193_SY956 @ SV539 @ SV521 ) )
= $true )
| ( ( r1 @ SV521 @ ( sK180_SY955 @ SV539 @ SV521 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2671]) ).
thf(2703,plain,
! [SV522: $i,SV540: $i > $o,SV592: $i,SV569: $i] :
( ( ( ~ ( r1 @ SV569 @ SV592 )
| ( SV540 @ SV592 ) )
= $true )
| ( ( r1 @ SV522 @ SV569 )
= $false )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2674]) ).
thf(2704,plain,
! [SV522: $i,SV540: $i > $o,SV583: $i,SV556: $i] :
( ( ( ~ ( r1 @ SV556 @ SV583 ) )
= $true )
| ( ( SV540 @ SV583 )
= $true )
| ( ( r1 @ SV522 @ SV556 )
= $false )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2675]) ).
thf(2705,plain,
! [SV523: $i,SV541: $i > $o,SV593: $i,SV570: $i] :
( ( ( ~ ( r3 @ SV570 @ SV593 )
| ( SV541 @ SV593 ) )
= $true )
| ( ( r2 @ SV523 @ SV570 )
= $false )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2676]) ).
thf(2706,plain,
! [SV523: $i,SV541: $i > $o,SV584: $i,SV557: $i] :
( ( ( ~ ( r3 @ SV557 @ SV584 ) )
= $true )
| ( ( SV541 @ SV584 )
= $true )
| ( ( r2 @ SV523 @ SV557 )
= $false )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(2707,plain,
! [SV524: $i,SV542: $i > $o,SV594: $i,SV571: $i] :
( ( ( ~ ( r3 @ SV571 @ SV594 )
| ( SV542 @ SV594 ) )
= $true )
| ( ( r3 @ SV524 @ SV571 )
= $false )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2678]) ).
thf(2708,plain,
! [SV524: $i,SV542: $i > $o,SV585: $i,SV558: $i] :
( ( ( ~ ( r3 @ SV558 @ SV585 ) )
= $true )
| ( ( SV542 @ SV585 )
= $true )
| ( ( r3 @ SV524 @ SV558 )
= $false )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2679]) ).
thf(2709,plain,
! [SV525: $i,SV543: $i > $o,SV595: $i,SV572: $i] :
( ( ( ~ ( r3 @ SV572 @ SV595 )
| ( SV543 @ SV595 ) )
= $true )
| ( ( r1 @ SV525 @ SV572 )
= $false )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(2710,plain,
! [SV525: $i,SV543: $i > $o,SV586: $i,SV559: $i] :
( ( ( ~ ( r3 @ SV559 @ SV586 ) )
= $true )
| ( ( SV543 @ SV586 )
= $true )
| ( ( r1 @ SV525 @ SV559 )
= $false )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2681]) ).
thf(2711,plain,
! [SV549: $i,SV545: $i > $o,SV577: $i,SV527: $i] :
( ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( ~ ! [SY1000: $i] :
( ~ ( r2 @ SV577 @ SY1000 )
| ( SV545 @ SY1000 ) ) )
= $true )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2712,plain,
! [SV511: $i,SV529: $i > $o,SV587: $i,SV562: $i] :
( ( ( ~ ( r1 @ SV562 @ SV587 ) )
= $true )
| ( ( SV529 @ SV587 )
= $true )
| ( ( r3 @ SV511 @ SV562 )
= $false )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2685]) ).
thf(2713,plain,
! [SV511: $i,SV529: $i > $o,SV578: $i,SV550: $i] :
( ( ( r1 @ SV550 @ SV578 )
= $false )
| ( ( SV529 @ SV578 )
= $true )
| ( ( r3 @ SV511 @ SV550 )
= $false )
| ( ( SV529 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2686]) ).
thf(2714,plain,
! [SV547: $i,SV513: $i,SV531: $i > $o,SV575: $i] :
( ( ( ! [SY998: $i] :
( ~ ( r3 @ SV575 @ SY998 )
| ( SV531 @ SY998 ) ) )
= $false )
| ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2689]) ).
thf(2715,plain,
! [SV514: $i,SV532: $i > $o,SV588: $i,SV564: $i] :
( ( ( ~ ( r2 @ SV564 @ SV588 ) )
= $true )
| ( ( SV532 @ SV588 )
= $true )
| ( ( r2 @ SV514 @ SV564 )
= $false )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2690]) ).
thf(2716,plain,
! [SV514: $i,SV532: $i > $o,SV579: $i,SV551: $i] :
( ( ( r2 @ SV551 @ SV579 )
= $false )
| ( ( SV532 @ SV579 )
= $true )
| ( ( r2 @ SV514 @ SV551 )
= $false )
| ( ( SV532 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2691]) ).
thf(2717,plain,
! [SV548: $i,SV516: $i,SV534: $i > $o,SV576: $i] :
( ( ( ! [SY999: $i] :
( ~ ( r1 @ SV576 @ SY999 )
| ( SV534 @ SY999 ) ) )
= $false )
| ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2694]) ).
thf(2718,plain,
! [SV517: $i,SV535: $i > $o,SV589: $i,SV565: $i] :
( ( ( ~ ( r2 @ SV565 @ SV589 ) )
= $true )
| ( ( SV535 @ SV589 )
= $true )
| ( ( r3 @ SV517 @ SV565 )
= $false )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2695]) ).
thf(2719,plain,
! [SV517: $i,SV535: $i > $o,SV580: $i,SV552: $i] :
( ( ( r2 @ SV552 @ SV580 )
= $false )
| ( ( SV535 @ SV580 )
= $true )
| ( ( r3 @ SV517 @ SV552 )
= $false )
| ( ( SV535 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2696]) ).
thf(2720,plain,
! [SV519: $i,SV537: $i > $o,SV590: $i,SV567: $i] :
( ( ( ~ ( r1 @ SV567 @ SV590 ) )
= $true )
| ( ( SV537 @ SV590 )
= $true )
| ( ( r2 @ SV519 @ SV567 )
= $false )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(2721,plain,
! [SV519: $i,SV537: $i > $o,SV581: $i,SV554: $i] :
( ( ( r1 @ SV554 @ SV581 )
= $false )
| ( ( SV537 @ SV581 )
= $true )
| ( ( r2 @ SV519 @ SV554 )
= $false )
| ( ( SV537 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2698]) ).
thf(2722,plain,
! [SV520: $i,SV538: $i > $o,SV591: $i,SV568: $i] :
( ( ( ~ ( r2 @ SV568 @ SV591 ) )
= $true )
| ( ( SV538 @ SV591 )
= $true )
| ( ( r1 @ SV520 @ SV568 )
= $false )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(2723,plain,
! [SV520: $i,SV538: $i > $o,SV582: $i,SV555: $i] :
( ( ( r2 @ SV555 @ SV582 )
= $false )
| ( ( SV538 @ SV582 )
= $true )
| ( ( r1 @ SV520 @ SV555 )
= $false )
| ( ( SV538 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2700]) ).
thf(2724,plain,
! [SV522: $i,SV540: $i > $o,SV592: $i,SV569: $i] :
( ( ( ~ ( r1 @ SV569 @ SV592 ) )
= $true )
| ( ( SV540 @ SV592 )
= $true )
| ( ( r1 @ SV522 @ SV569 )
= $false )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(2725,plain,
! [SV522: $i,SV540: $i > $o,SV583: $i,SV556: $i] :
( ( ( r1 @ SV556 @ SV583 )
= $false )
| ( ( SV540 @ SV583 )
= $true )
| ( ( r1 @ SV522 @ SV556 )
= $false )
| ( ( SV540 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2704]) ).
thf(2726,plain,
! [SV523: $i,SV541: $i > $o,SV593: $i,SV570: $i] :
( ( ( ~ ( r3 @ SV570 @ SV593 ) )
= $true )
| ( ( SV541 @ SV593 )
= $true )
| ( ( r2 @ SV523 @ SV570 )
= $false )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(2727,plain,
! [SV523: $i,SV541: $i > $o,SV584: $i,SV557: $i] :
( ( ( r3 @ SV557 @ SV584 )
= $false )
| ( ( SV541 @ SV584 )
= $true )
| ( ( r2 @ SV523 @ SV557 )
= $false )
| ( ( SV541 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2706]) ).
thf(2728,plain,
! [SV524: $i,SV542: $i > $o,SV594: $i,SV571: $i] :
( ( ( ~ ( r3 @ SV571 @ SV594 ) )
= $true )
| ( ( SV542 @ SV594 )
= $true )
| ( ( r3 @ SV524 @ SV571 )
= $false )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2707]) ).
thf(2729,plain,
! [SV524: $i,SV542: $i > $o,SV585: $i,SV558: $i] :
( ( ( r3 @ SV558 @ SV585 )
= $false )
| ( ( SV542 @ SV585 )
= $true )
| ( ( r3 @ SV524 @ SV558 )
= $false )
| ( ( SV542 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2730,plain,
! [SV525: $i,SV543: $i > $o,SV595: $i,SV572: $i] :
( ( ( ~ ( r3 @ SV572 @ SV595 ) )
= $true )
| ( ( SV543 @ SV595 )
= $true )
| ( ( r1 @ SV525 @ SV572 )
= $false )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2709]) ).
thf(2731,plain,
! [SV525: $i,SV543: $i > $o,SV586: $i,SV559: $i] :
( ( ( r3 @ SV559 @ SV586 )
= $false )
| ( ( SV543 @ SV586 )
= $true )
| ( ( r1 @ SV525 @ SV559 )
= $false )
| ( ( SV543 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(2732,plain,
! [SV549: $i,SV527: $i,SV545: $i > $o,SV577: $i] :
( ( ( ! [SY1000: $i] :
( ~ ( r2 @ SV577 @ SY1000 )
| ( SV545 @ SY1000 ) ) )
= $false )
| ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2711]) ).
thf(2733,plain,
! [SV511: $i,SV529: $i > $o,SV587: $i,SV562: $i] :
( ( ( r1 @ SV562 @ SV587 )
= $false )
| ( ( SV529 @ SV587 )
= $true )
| ( ( r3 @ SV511 @ SV562 )
= $false )
| ( ( r1 @ SV511 @ ( sK171_SY924 @ SV529 @ SV511 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2712]) ).
thf(2734,plain,
! [SV531: $i > $o,SV513: $i,SV547: $i,SV575: $i] :
( ( ( ~ ( r3 @ SV575 @ ( sK194_SY998 @ SV547 @ SV513 @ SV531 @ SV575 ) )
| ( SV531 @ ( sK194_SY998 @ SV547 @ SV513 @ SV531 @ SV575 ) ) )
= $false )
| ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2714]) ).
thf(2735,plain,
! [SV514: $i,SV532: $i > $o,SV588: $i,SV564: $i] :
( ( ( r2 @ SV564 @ SV588 )
= $false )
| ( ( SV532 @ SV588 )
= $true )
| ( ( r2 @ SV514 @ SV564 )
= $false )
| ( ( r2 @ SV514 @ ( sK174_SY936 @ SV532 @ SV514 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2736,plain,
! [SV534: $i > $o,SV516: $i,SV548: $i,SV576: $i] :
( ( ( ~ ( r1 @ SV576 @ ( sK195_SY999 @ SV548 @ SV516 @ SV534 @ SV576 ) )
| ( SV534 @ ( sK195_SY999 @ SV548 @ SV516 @ SV534 @ SV576 ) ) )
= $false )
| ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2717]) ).
thf(2737,plain,
! [SV517: $i,SV535: $i > $o,SV589: $i,SV565: $i] :
( ( ( r2 @ SV565 @ SV589 )
= $false )
| ( ( SV535 @ SV589 )
= $true )
| ( ( r3 @ SV517 @ SV565 )
= $false )
| ( ( r2 @ SV517 @ ( sK176_SY944 @ SV535 @ SV517 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2718]) ).
thf(2738,plain,
! [SV519: $i,SV537: $i > $o,SV590: $i,SV567: $i] :
( ( ( r1 @ SV567 @ SV590 )
= $false )
| ( ( SV537 @ SV590 )
= $true )
| ( ( r2 @ SV519 @ SV567 )
= $false )
| ( ( r1 @ SV519 @ ( sK178_SY949 @ SV537 @ SV519 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2720]) ).
thf(2739,plain,
! [SV520: $i,SV538: $i > $o,SV591: $i,SV568: $i] :
( ( ( r2 @ SV568 @ SV591 )
= $false )
| ( ( SV538 @ SV591 )
= $true )
| ( ( r1 @ SV520 @ SV568 )
= $false )
| ( ( r2 @ SV520 @ ( sK179_SY952 @ SV538 @ SV520 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2722]) ).
thf(2740,plain,
! [SV522: $i,SV540: $i > $o,SV592: $i,SV569: $i] :
( ( ( r1 @ SV569 @ SV592 )
= $false )
| ( ( SV540 @ SV592 )
= $true )
| ( ( r1 @ SV522 @ SV569 )
= $false )
| ( ( r1 @ SV522 @ ( sK181_SY957 @ SV540 @ SV522 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(2741,plain,
! [SV523: $i,SV541: $i > $o,SV593: $i,SV570: $i] :
( ( ( r3 @ SV570 @ SV593 )
= $false )
| ( ( SV541 @ SV593 )
= $true )
| ( ( r2 @ SV523 @ SV570 )
= $false )
| ( ( r3 @ SV523 @ ( sK182_SY960 @ SV541 @ SV523 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2742,plain,
! [SV524: $i,SV542: $i > $o,SV594: $i,SV571: $i] :
( ( ( r3 @ SV571 @ SV594 )
= $false )
| ( ( SV542 @ SV594 )
= $true )
| ( ( r3 @ SV524 @ SV571 )
= $false )
| ( ( r3 @ SV524 @ ( sK183_SY963 @ SV542 @ SV524 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(2743,plain,
! [SV525: $i,SV543: $i > $o,SV595: $i,SV572: $i] :
( ( ( r3 @ SV572 @ SV595 )
= $false )
| ( ( SV543 @ SV595 )
= $true )
| ( ( r1 @ SV525 @ SV572 )
= $false )
| ( ( r3 @ SV525 @ ( sK184_SY966 @ SV543 @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2730]) ).
thf(2744,plain,
! [SV545: $i > $o,SV527: $i,SV549: $i,SV577: $i] :
( ( ( ~ ( r2 @ SV577 @ ( sK196_SY1000 @ SV549 @ SV527 @ SV545 @ SV577 ) )
| ( SV545 @ ( sK196_SY1000 @ SV549 @ SV527 @ SV545 @ SV577 ) ) )
= $false )
| ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2732]) ).
thf(2745,plain,
! [SV531: $i > $o,SV513: $i,SV547: $i,SV575: $i] :
( ( ( ~ ( r3 @ SV575 @ ( sK194_SY998 @ SV547 @ SV513 @ SV531 @ SV575 ) ) )
= $false )
| ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(2746,plain,
! [SV575: $i,SV513: $i,SV547: $i,SV531: $i > $o] :
( ( ( SV531 @ ( sK194_SY998 @ SV547 @ SV513 @ SV531 @ SV575 ) )
= $false )
| ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2734]) ).
thf(2747,plain,
! [SV534: $i > $o,SV516: $i,SV548: $i,SV576: $i] :
( ( ( ~ ( r1 @ SV576 @ ( sK195_SY999 @ SV548 @ SV516 @ SV534 @ SV576 ) ) )
= $false )
| ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(2748,plain,
! [SV576: $i,SV516: $i,SV548: $i,SV534: $i > $o] :
( ( ( SV534 @ ( sK195_SY999 @ SV548 @ SV516 @ SV534 @ SV576 ) )
= $false )
| ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2736]) ).
thf(2749,plain,
! [SV545: $i > $o,SV527: $i,SV549: $i,SV577: $i] :
( ( ( ~ ( r2 @ SV577 @ ( sK196_SY1000 @ SV549 @ SV527 @ SV545 @ SV577 ) ) )
= $false )
| ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2750,plain,
! [SV577: $i,SV527: $i,SV549: $i,SV545: $i > $o] :
( ( ( SV545 @ ( sK196_SY1000 @ SV549 @ SV527 @ SV545 @ SV577 ) )
= $false )
| ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2744]) ).
thf(2751,plain,
! [SV531: $i > $o,SV513: $i,SV547: $i,SV575: $i] :
( ( ( r3 @ SV575 @ ( sK194_SY998 @ SV547 @ SV513 @ SV531 @ SV575 ) )
= $true )
| ( ( r3 @ SV513 @ SV575 )
= $false )
| ( ( SV531 @ SV547 )
= $true )
| ( ( r3 @ SV513 @ SV547 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2745]) ).
thf(2752,plain,
! [SV534: $i > $o,SV516: $i,SV548: $i,SV576: $i] :
( ( ( r1 @ SV576 @ ( sK195_SY999 @ SV548 @ SV516 @ SV534 @ SV576 ) )
= $true )
| ( ( r1 @ SV516 @ SV576 )
= $false )
| ( ( SV534 @ SV548 )
= $true )
| ( ( r1 @ SV516 @ SV548 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2747]) ).
thf(2753,plain,
! [SV545: $i > $o,SV527: $i,SV549: $i,SV577: $i] :
( ( ( r2 @ SV577 @ ( sK196_SY1000 @ SV549 @ SV527 @ SV545 @ SV577 ) )
= $true )
| ( ( r2 @ SV527 @ SV577 )
= $false )
| ( ( SV545 @ SV549 )
= $true )
| ( ( r2 @ SV527 @ SV549 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2749]) ).
thf(2754,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2543,2753,2752,2751,2750,2748,2746,2743,2742,2741,2740,2739,2738,2737,2735,2733,2731,2729,2727,2725,2723,2721,2719,2716,2713,2702,2701,2693,2692,2688,2687,2684,2682,2673,2672,2665,2661,2660,2654,2653,2652,2647,2644,2627,2615,2579]) ).
thf(2755,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(2756,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(2757,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(2758,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(2759,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(2760,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(2761,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(2762,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(2763,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(2764,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(2765,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(2766,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(2767,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(2768,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(2769,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(2770,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(2771,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(2772,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(2773,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(2774,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2762,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2775,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2755,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2776,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2773,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2777,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2770,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2778,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2766,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2779,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2769,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2780,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2763,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2781,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2757,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2782,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2756,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2783,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2758,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2784,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2768,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2785,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2771,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2786,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2764,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2787,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2765,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2788,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2760,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2789,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2759,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2790,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2767,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2791,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2761,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2792,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2772,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(2793,plain,
! [SV596: $i] :
( ( ! [SY1001: $i > $o] :
( ~ ! [SY1002: $i] :
( ~ ( r1 @ SV596 @ SY1002 )
| ( SY1001 @ SY1002 ) )
| ! [SY1003: $i] :
( ~ ( r2 @ SV596 @ SY1003 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1003 @ SX3 )
| ( SY1001 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2774]) ).
thf(2794,plain,
! [SV597: $i] :
( ( ! [SY1005: $i > $o] :
( ~ ! [SY1006: $i] :
( ~ ( r1 @ SV597 @ SY1006 )
| ( SY1005 @ SY1006 ) )
| ~ ! [SY1007: $i] :
( ~ ( r1 @ SV597 @ SY1007 )
| ~ ( SY1005 @ SY1007 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(2795,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2776]) ).
thf(2796,plain,
! [SV598: $i] :
( ( ! [SY1008: $i > $o] :
( ~ ~ ! [SY1009: $i] :
( ~ ( r1 @ SV598 @ SY1009 )
| ( SY1008 @ SY1009 ) )
| ! [SY1010: $i] :
( ~ ( r1 @ SV598 @ SY1010 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY1010 @ SX3 )
| ( SY1008 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2797,plain,
! [SV599: $i] :
( ( ! [SY1012: $i > $o] :
( ~ ! [SY1013: $i] :
( ~ ( r2 @ SV599 @ SY1013 )
| ( SY1012 @ SY1013 ) )
| ! [SY1014: $i] :
( ~ ( r3 @ SV599 @ SY1014 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1014 @ SX3 )
| ( SY1012 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2798,plain,
! [SV600: $i] :
( ( ! [SY1016: $i > $o] :
( ~ ! [SY1017: $i] :
( ~ ( r3 @ SV600 @ SY1017 )
| ( SY1016 @ SY1017 ) )
| ! [SY1018: $i] :
( ~ ( r3 @ SV600 @ SY1018 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1018 @ SX3 )
| ( SY1016 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2799,plain,
! [SV601: $i] :
( ( ! [SY1020: $i > $o] :
( ~ ! [SY1021: $i] :
( ~ ( r1 @ SV601 @ SY1021 )
| ( SY1020 @ SY1021 ) )
| ! [SY1022: $i] :
( ~ ( r3 @ SV601 @ SY1022 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1022 @ SX3 )
| ( SY1020 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(2800,plain,
! [SV602: $i] :
( ( ! [SY1024: $i > $o] :
( ~ ! [SY1025: $i] :
( ~ ( r3 @ SV602 @ SY1025 )
| ( SY1024 @ SY1025 ) )
| ~ ! [SY1026: $i] :
( ~ ( r3 @ SV602 @ SY1026 )
| ~ ( SY1024 @ SY1026 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(2801,plain,
! [SV603: $i] :
( ( ! [SY1027: $i > $o] :
( ~ ! [SY1028: $i] :
( ~ ( r2 @ SV603 @ SY1028 )
| ( SY1027 @ SY1028 ) )
| ~ ! [SY1029: $i] :
( ~ ( r2 @ SV603 @ SY1029 )
| ~ ( SY1027 @ SY1029 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(2802,plain,
! [SV604: $i] :
( ( ! [SY1030: $i > $o] :
( ~ ! [SY1031: $i] :
( ~ ( r2 @ SV604 @ SY1031 )
| ( SY1030 @ SY1031 ) )
| ! [SY1032: $i] :
( ~ ( r1 @ SV604 @ SY1032 )
| ( SY1030 @ SY1032 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(2803,plain,
! [SV605: $i] :
( ( ! [SY1033: $i > $o] :
( ~ ! [SY1034: $i] :
( ~ ( r3 @ SV605 @ SY1034 )
| ( SY1033 @ SY1034 ) )
| ! [SY1035: $i] :
( ~ ( r2 @ SV605 @ SY1035 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1035 @ SX3 )
| ( SY1033 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(2804,plain,
! [SV606: $i] :
( ( ! [SY1037: $i > $o] :
( ~ ~ ! [SY1038: $i] :
( ~ ( r2 @ SV606 @ SY1038 )
| ( SY1037 @ SY1038 ) )
| ! [SY1039: $i] :
( ~ ( r2 @ SV606 @ SY1039 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY1039 @ SX3 )
| ( SY1037 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(2805,plain,
! [SV607: $i] :
( ( ! [SY1041: $i > $o] :
( ~ ! [SY1042: $i] :
( ~ ( r2 @ SV607 @ SY1042 )
| ( SY1041 @ SY1042 ) )
| ! [SY1043: $i] :
( ~ ( r1 @ SV607 @ SY1043 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1043 @ SX3 )
| ( SY1041 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(2806,plain,
! [SV608: $i] :
( ( ! [SY1045: $i > $o] :
( ~ ! [SY1046: $i] :
( ~ ( r2 @ SV608 @ SY1046 )
| ( SY1045 @ SY1046 ) )
| ! [SY1047: $i] :
( ~ ( r2 @ SV608 @ SY1047 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1047 @ SX3 )
| ( SY1045 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(2807,plain,
! [SV609: $i] :
( ( ! [SY1049: $i > $o] :
( ~ ! [SY1050: $i] :
( ~ ( r3 @ SV609 @ SY1050 )
| ( SY1049 @ SY1050 ) )
| ! [SY1051: $i] :
( ~ ( r2 @ SV609 @ SY1051 )
| ( SY1049 @ SY1051 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(2808,plain,
! [SV610: $i] :
( ( ! [SY1052: $i > $o] :
( ~ ! [SY1053: $i] :
( ~ ( r3 @ SV610 @ SY1053 )
| ( SY1052 @ SY1053 ) )
| ! [SY1054: $i] :
( ~ ( r1 @ SV610 @ SY1054 )
| ( SY1052 @ SY1054 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(2809,plain,
! [SV611: $i] :
( ( ! [SY1055: $i > $o] :
( ~ ! [SY1056: $i] :
( ~ ( r3 @ SV611 @ SY1056 )
| ( SY1055 @ SY1056 ) )
| ! [SY1057: $i] :
( ~ ( r1 @ SV611 @ SY1057 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1057 @ SX3 )
| ( SY1055 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(2810,plain,
! [SV612: $i] :
( ( ! [SY1059: $i > $o] :
( ~ ! [SY1060: $i] :
( ~ ( r1 @ SV612 @ SY1060 )
| ( SY1059 @ SY1060 ) )
| ! [SY1061: $i] :
( ~ ( r1 @ SV612 @ SY1061 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1061 @ SX3 )
| ( SY1059 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2791]) ).
thf(2811,plain,
! [SV613: $i] :
( ( ! [SY1063: $i > $o] :
( ~ ~ ! [SY1064: $i] :
( ~ ( r3 @ SV613 @ SY1064 )
| ( SY1063 @ SY1064 ) )
| ! [SY1065: $i] :
( ~ ( r3 @ SV613 @ SY1065 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY1065 @ SX3 )
| ( SY1063 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2792]) ).
thf(2812,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ~ ! [SY1067: $i] :
( ~ ( r1 @ SV596 @ SY1067 )
| ( SV614 @ SY1067 ) )
| ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(2813,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ~ ! [SY1070: $i] :
( ~ ( r1 @ SV597 @ SY1070 )
| ( SV615 @ SY1070 ) )
| ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2794]) ).
thf(2814,plain,
( ( ! [SY1072: $i > $o] :
( ~ ~ ! [SY1073: $i] :
( ~ ( r3 @ sK197_SX0 @ SY1073 )
| ( SY1072 @ SY1073 ) )
| ! [SY1074: $i] :
( ~ ( r2 @ sK197_SX0 @ SY1074 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY1074 @ SX3 )
| ( SY1072 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2795]) ).
thf(2815,plain,
! [SV616: $i > $o,SV598: $i] :
( ( ~ ~ ! [SY1076: $i] :
( ~ ( r1 @ SV598 @ SY1076 )
| ( SV616 @ SY1076 ) )
| ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2796]) ).
thf(2816,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ~ ! [SY1079: $i] :
( ~ ( r2 @ SV599 @ SY1079 )
| ( SV617 @ SY1079 ) )
| ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2797]) ).
thf(2817,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ~ ! [SY1082: $i] :
( ~ ( r3 @ SV600 @ SY1082 )
| ( SV618 @ SY1082 ) )
| ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(2818,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ~ ! [SY1085: $i] :
( ~ ( r1 @ SV601 @ SY1085 )
| ( SV619 @ SY1085 ) )
| ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2799]) ).
thf(2819,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ~ ! [SY1088: $i] :
( ~ ( r3 @ SV602 @ SY1088 )
| ( SV620 @ SY1088 ) )
| ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(2820,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ~ ! [SY1090: $i] :
( ~ ( r2 @ SV603 @ SY1090 )
| ( SV621 @ SY1090 ) )
| ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2801]) ).
thf(2821,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ~ ! [SY1092: $i] :
( ~ ( r2 @ SV604 @ SY1092 )
| ( SV622 @ SY1092 ) )
| ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2802]) ).
thf(2822,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ~ ! [SY1094: $i] :
( ~ ( r3 @ SV605 @ SY1094 )
| ( SV623 @ SY1094 ) )
| ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2803]) ).
thf(2823,plain,
! [SV624: $i > $o,SV606: $i] :
( ( ~ ~ ! [SY1097: $i] :
( ~ ( r2 @ SV606 @ SY1097 )
| ( SV624 @ SY1097 ) )
| ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(2824,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ~ ! [SY1100: $i] :
( ~ ( r2 @ SV607 @ SY1100 )
| ( SV625 @ SY1100 ) )
| ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2805]) ).
thf(2825,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ~ ! [SY1103: $i] :
( ~ ( r2 @ SV608 @ SY1103 )
| ( SV626 @ SY1103 ) )
| ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(2826,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ~ ! [SY1106: $i] :
( ~ ( r3 @ SV609 @ SY1106 )
| ( SV627 @ SY1106 ) )
| ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(2827,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ~ ! [SY1108: $i] :
( ~ ( r3 @ SV610 @ SY1108 )
| ( SV628 @ SY1108 ) )
| ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(2828,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ~ ! [SY1110: $i] :
( ~ ( r3 @ SV611 @ SY1110 )
| ( SV629 @ SY1110 ) )
| ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2809]) ).
thf(2829,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ~ ! [SY1113: $i] :
( ~ ( r1 @ SV612 @ SY1113 )
| ( SV630 @ SY1113 ) )
| ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2810]) ).
thf(2830,plain,
! [SV631: $i > $o,SV613: $i] :
( ( ~ ~ ! [SY1116: $i] :
( ~ ( r3 @ SV613 @ SY1116 )
| ( SV631 @ SY1116 ) )
| ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(2831,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ( ~ ! [SY1067: $i] :
( ~ ( r1 @ SV596 @ SY1067 )
| ( SV614 @ SY1067 ) ) )
= $true )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2812]) ).
thf(2832,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ! [SY1070: $i] :
( ~ ( r1 @ SV597 @ SY1070 )
| ( SV615 @ SY1070 ) ) )
= $true )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2813]) ).
thf(2833,plain,
( ( ~ ~ ! [SY1119: $i] :
( ~ ( r3 @ sK197_SX0 @ SY1119 )
| ( sK198_SY1072 @ SY1119 ) )
| ! [SY1120: $i] :
( ~ ( r2 @ sK197_SX0 @ SY1120 )
| ~ ! [SY1121: $i] :
( ~ ( r3 @ SY1120 @ SY1121 )
| ( sK198_SY1072 @ SY1121 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2814]) ).
thf(2834,plain,
! [SV616: $i > $o,SV598: $i] :
( ( ( ~ ~ ! [SY1076: $i] :
( ~ ( r1 @ SV598 @ SY1076 )
| ( SV616 @ SY1076 ) ) )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(2835,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ( ~ ! [SY1079: $i] :
( ~ ( r2 @ SV599 @ SY1079 )
| ( SV617 @ SY1079 ) ) )
= $true )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(2836,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ( ~ ! [SY1082: $i] :
( ~ ( r3 @ SV600 @ SY1082 )
| ( SV618 @ SY1082 ) ) )
= $true )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2817]) ).
thf(2837,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ( ~ ! [SY1085: $i] :
( ~ ( r1 @ SV601 @ SY1085 )
| ( SV619 @ SY1085 ) ) )
= $true )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2818]) ).
thf(2838,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ! [SY1088: $i] :
( ~ ( r3 @ SV602 @ SY1088 )
| ( SV620 @ SY1088 ) ) )
= $true )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(2839,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ! [SY1090: $i] :
( ~ ( r2 @ SV603 @ SY1090 )
| ( SV621 @ SY1090 ) ) )
= $true )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(2840,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ( ~ ! [SY1092: $i] :
( ~ ( r2 @ SV604 @ SY1092 )
| ( SV622 @ SY1092 ) ) )
= $true )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(2841,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ( ~ ! [SY1094: $i] :
( ~ ( r3 @ SV605 @ SY1094 )
| ( SV623 @ SY1094 ) ) )
= $true )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(2842,plain,
! [SV624: $i > $o,SV606: $i] :
( ( ( ~ ~ ! [SY1097: $i] :
( ~ ( r2 @ SV606 @ SY1097 )
| ( SV624 @ SY1097 ) ) )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2843,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ( ~ ! [SY1100: $i] :
( ~ ( r2 @ SV607 @ SY1100 )
| ( SV625 @ SY1100 ) ) )
= $true )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2824]) ).
thf(2844,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ( ~ ! [SY1103: $i] :
( ~ ( r2 @ SV608 @ SY1103 )
| ( SV626 @ SY1103 ) ) )
= $true )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(2845,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ( ~ ! [SY1106: $i] :
( ~ ( r3 @ SV609 @ SY1106 )
| ( SV627 @ SY1106 ) ) )
= $true )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2846,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ( ~ ! [SY1108: $i] :
( ~ ( r3 @ SV610 @ SY1108 )
| ( SV628 @ SY1108 ) ) )
= $true )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2827]) ).
thf(2847,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ( ~ ! [SY1110: $i] :
( ~ ( r3 @ SV611 @ SY1110 )
| ( SV629 @ SY1110 ) ) )
= $true )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2828]) ).
thf(2848,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ( ~ ! [SY1113: $i] :
( ~ ( r1 @ SV612 @ SY1113 )
| ( SV630 @ SY1113 ) ) )
= $true )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2829]) ).
thf(2849,plain,
! [SV631: $i > $o,SV613: $i] :
( ( ( ~ ~ ! [SY1116: $i] :
( ~ ( r3 @ SV613 @ SY1116 )
| ( SV631 @ SY1116 ) ) )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(2850,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ( ! [SY1067: $i] :
( ~ ( r1 @ SV596 @ SY1067 )
| ( SV614 @ SY1067 ) ) )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2831]) ).
thf(2851,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ! [SY1070: $i] :
( ~ ( r1 @ SV597 @ SY1070 )
| ( SV615 @ SY1070 ) ) )
= $false )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2832]) ).
thf(2852,plain,
( ( ~ ~ ! [SY1119: $i] :
( ~ ( r3 @ sK197_SX0 @ SY1119 )
| ( sK198_SY1072 @ SY1119 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2833]) ).
thf(2853,plain,
( ( ! [SY1120: $i] :
( ~ ( r2 @ sK197_SX0 @ SY1120 )
| ~ ! [SY1121: $i] :
( ~ ( r3 @ SY1120 @ SY1121 )
| ( sK198_SY1072 @ SY1121 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2833]) ).
thf(2854,plain,
! [SV616: $i > $o,SV598: $i] :
( ( ( ~ ! [SY1076: $i] :
( ~ ( r1 @ SV598 @ SY1076 )
| ( SV616 @ SY1076 ) ) )
= $false )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2834]) ).
thf(2855,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ( ! [SY1079: $i] :
( ~ ( r2 @ SV599 @ SY1079 )
| ( SV617 @ SY1079 ) ) )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2835]) ).
thf(2856,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ( ! [SY1082: $i] :
( ~ ( r3 @ SV600 @ SY1082 )
| ( SV618 @ SY1082 ) ) )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(2857,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ( ! [SY1085: $i] :
( ~ ( r1 @ SV601 @ SY1085 )
| ( SV619 @ SY1085 ) ) )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2837]) ).
thf(2858,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ! [SY1088: $i] :
( ~ ( r3 @ SV602 @ SY1088 )
| ( SV620 @ SY1088 ) ) )
= $false )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(2859,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ! [SY1090: $i] :
( ~ ( r2 @ SV603 @ SY1090 )
| ( SV621 @ SY1090 ) ) )
= $false )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(2860,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ( ! [SY1092: $i] :
( ~ ( r2 @ SV604 @ SY1092 )
| ( SV622 @ SY1092 ) ) )
= $false )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2861,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ( ! [SY1094: $i] :
( ~ ( r3 @ SV605 @ SY1094 )
| ( SV623 @ SY1094 ) ) )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2862,plain,
! [SV624: $i > $o,SV606: $i] :
( ( ( ~ ! [SY1097: $i] :
( ~ ( r2 @ SV606 @ SY1097 )
| ( SV624 @ SY1097 ) ) )
= $false )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2842]) ).
thf(2863,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ( ! [SY1100: $i] :
( ~ ( r2 @ SV607 @ SY1100 )
| ( SV625 @ SY1100 ) ) )
= $false )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2864,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ( ! [SY1103: $i] :
( ~ ( r2 @ SV608 @ SY1103 )
| ( SV626 @ SY1103 ) ) )
= $false )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2865,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ( ! [SY1106: $i] :
( ~ ( r3 @ SV609 @ SY1106 )
| ( SV627 @ SY1106 ) ) )
= $false )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(2866,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ( ! [SY1108: $i] :
( ~ ( r3 @ SV610 @ SY1108 )
| ( SV628 @ SY1108 ) ) )
= $false )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2846]) ).
thf(2867,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ( ! [SY1110: $i] :
( ~ ( r3 @ SV611 @ SY1110 )
| ( SV629 @ SY1110 ) ) )
= $false )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(2868,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ( ! [SY1113: $i] :
( ~ ( r1 @ SV612 @ SY1113 )
| ( SV630 @ SY1113 ) ) )
= $false )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2848]) ).
thf(2869,plain,
! [SV631: $i > $o,SV613: $i] :
( ( ( ~ ! [SY1116: $i] :
( ~ ( r3 @ SV613 @ SY1116 )
| ( SV631 @ SY1116 ) ) )
= $false )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2849]) ).
thf(2870,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ( ~ ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
| ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) ) )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2850]) ).
thf(2871,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
| ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) ) )
= $false )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2851]) ).
thf(2872,plain,
( ( ~ ! [SY1119: $i] :
( ~ ( r3 @ sK197_SX0 @ SY1119 )
| ( sK198_SY1072 @ SY1119 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2852]) ).
thf(2873,plain,
( ( ~ ( r2 @ sK197_SX0 @ sK201_SY1120 )
| ~ ! [SY1122: $i] :
( ~ ( r3 @ sK201_SY1120 @ SY1122 )
| ( sK198_SY1072 @ SY1122 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2853]) ).
thf(2874,plain,
! [SV616: $i > $o,SV598: $i] :
( ( ( ! [SY1076: $i] :
( ~ ( r1 @ SV598 @ SY1076 )
| ( SV616 @ SY1076 ) ) )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2854]) ).
thf(2875,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ( ~ ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
| ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) ) )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2855]) ).
thf(2876,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
| ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) ) )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2856]) ).
thf(2877,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ( ~ ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
| ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) ) )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2857]) ).
thf(2878,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
| ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) ) )
= $false )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2858]) ).
thf(2879,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
| ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) ) )
= $false )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2859]) ).
thf(2880,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ( ~ ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
| ( SV622 @ ( sK207_SY1092 @ SV622 @ SV604 ) ) )
= $false )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2860]) ).
thf(2881,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ( ~ ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
| ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) ) )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2861]) ).
thf(2882,plain,
! [SV624: $i > $o,SV606: $i] :
( ( ( ! [SY1097: $i] :
( ~ ( r2 @ SV606 @ SY1097 )
| ( SV624 @ SY1097 ) ) )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2862]) ).
thf(2883,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ( ~ ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
| ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) ) )
= $false )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2863]) ).
thf(2884,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
| ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) ) )
= $false )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2864]) ).
thf(2885,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ( ~ ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
| ( SV627 @ ( sK211_SY1106 @ SV627 @ SV609 ) ) )
= $false )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2865]) ).
thf(2886,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ( ~ ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
| ( SV628 @ ( sK212_SY1108 @ SV628 @ SV610 ) ) )
= $false )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2866]) ).
thf(2887,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ( ~ ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
| ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) ) )
= $false )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2867]) ).
thf(2888,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
| ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) ) )
= $false )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2868]) ).
thf(2889,plain,
! [SV631: $i > $o,SV613: $i] :
( ( ( ! [SY1116: $i] :
( ~ ( r3 @ SV613 @ SY1116 )
| ( SV631 @ SY1116 ) ) )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2869]) ).
thf(2890,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ( ~ ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) ) )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2891,plain,
! [SV596: $i,SV614: $i > $o] :
( ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2870]) ).
thf(2892,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) ) )
= $false )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2871]) ).
thf(2893,plain,
! [SV597: $i,SV615: $i > $o] :
( ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2871]) ).
thf(2894,plain,
( ( ! [SY1119: $i] :
( ~ ( r3 @ sK197_SX0 @ SY1119 )
| ( sK198_SY1072 @ SY1119 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(2895,plain,
( ( ~ ( r2 @ sK197_SX0 @ sK201_SY1120 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(2896,plain,
( ( ~ ! [SY1122: $i] :
( ~ ( r3 @ sK201_SY1120 @ SY1122 )
| ( sK198_SY1072 @ SY1122 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2873]) ).
thf(2897,plain,
! [SV616: $i > $o,SV632: $i,SV598: $i] :
( ( ( ~ ( r1 @ SV598 @ SV632 )
| ( SV616 @ SV632 ) )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2874]) ).
thf(2898,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ( ~ ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) ) )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(2899,plain,
! [SV599: $i,SV617: $i > $o] :
( ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2875]) ).
thf(2900,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) ) )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2901,plain,
! [SV600: $i,SV618: $i > $o] :
( ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2876]) ).
thf(2902,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ( ~ ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) ) )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(2903,plain,
! [SV601: $i,SV619: $i > $o] :
( ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2877]) ).
thf(2904,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) ) )
= $false )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2878]) ).
thf(2905,plain,
! [SV602: $i,SV620: $i > $o] :
( ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2878]) ).
thf(2906,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) ) )
= $false )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2879]) ).
thf(2907,plain,
! [SV603: $i,SV621: $i > $o] :
( ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2879]) ).
thf(2908,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ( ~ ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) ) )
= $false )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2880]) ).
thf(2909,plain,
! [SV604: $i,SV622: $i > $o] :
( ( ( SV622 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $false )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2880]) ).
thf(2910,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ( ~ ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) ) )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(2911,plain,
! [SV605: $i,SV623: $i > $o] :
( ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2881]) ).
thf(2912,plain,
! [SV624: $i > $o,SV633: $i,SV606: $i] :
( ( ( ~ ( r2 @ SV606 @ SV633 )
| ( SV624 @ SV633 ) )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2882]) ).
thf(2913,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ( ~ ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) ) )
= $false )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2914,plain,
! [SV607: $i,SV625: $i > $o] :
( ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2883]) ).
thf(2915,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) ) )
= $false )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2916,plain,
! [SV608: $i,SV626: $i > $o] :
( ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2884]) ).
thf(2917,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ( ~ ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) ) )
= $false )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2885]) ).
thf(2918,plain,
! [SV609: $i,SV627: $i > $o] :
( ( ( SV627 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $false )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2885]) ).
thf(2919,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ( ~ ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) ) )
= $false )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(2920,plain,
! [SV610: $i,SV628: $i > $o] :
( ( ( SV628 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $false )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2886]) ).
thf(2921,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ( ~ ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) ) )
= $false )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2887]) ).
thf(2922,plain,
! [SV611: $i,SV629: $i > $o] :
( ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2887]) ).
thf(2923,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) ) )
= $false )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(2924,plain,
! [SV612: $i,SV630: $i > $o] :
( ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2888]) ).
thf(2925,plain,
! [SV631: $i > $o,SV634: $i,SV613: $i] :
( ( ( ~ ( r3 @ SV613 @ SV634 )
| ( SV631 @ SV634 ) )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2889]) ).
thf(2926,plain,
! [SV614: $i > $o,SV596: $i] :
( ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true )
| ( ( ! [SY1068: $i] :
( ~ ( r2 @ SV596 @ SY1068 )
| ! [SY1069: $i] :
( ~ ( r1 @ SY1068 @ SY1069 )
| ( SV614 @ SY1069 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2890]) ).
thf(2927,plain,
! [SV614: $i > $o,SV635: $i,SV596: $i] :
( ( ( ~ ( r2 @ SV596 @ SV635 )
| ! [SY1123: $i] :
( ~ ( r1 @ SV635 @ SY1123 )
| ( SV614 @ SY1123 ) ) )
= $true )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2891]) ).
thf(2928,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true )
| ( ( ~ ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2892]) ).
thf(2929,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $false )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(2930,plain,
( ( ~ ( r3 @ sK197_SX0 @ sK215_SY1119 )
| ( sK198_SY1072 @ sK215_SY1119 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2894]) ).
thf(2931,plain,
( ( r2 @ sK197_SX0 @ sK201_SY1120 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2895]) ).
thf(2932,plain,
( ( ! [SY1122: $i] :
( ~ ( r3 @ sK201_SY1120 @ SY1122 )
| ( sK198_SY1072 @ SY1122 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2896]) ).
thf(2933,plain,
! [SV616: $i > $o,SV632: $i,SV598: $i] :
( ( ( ~ ( r1 @ SV598 @ SV632 ) )
= $true )
| ( ( SV616 @ SV632 )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2897]) ).
thf(2934,plain,
! [SV617: $i > $o,SV599: $i] :
( ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true )
| ( ( ! [SY1080: $i] :
( ~ ( r3 @ SV599 @ SY1080 )
| ! [SY1081: $i] :
( ~ ( r2 @ SY1080 @ SY1081 )
| ( SV617 @ SY1081 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2898]) ).
thf(2935,plain,
! [SV617: $i > $o,SV636: $i,SV599: $i] :
( ( ( ~ ( r3 @ SV599 @ SV636 )
| ! [SY1124: $i] :
( ~ ( r2 @ SV636 @ SY1124 )
| ( SV617 @ SY1124 ) ) )
= $true )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2899]) ).
thf(2936,plain,
! [SV618: $i > $o,SV600: $i] :
( ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true )
| ( ( ! [SY1083: $i] :
( ~ ( r3 @ SV600 @ SY1083 )
| ! [SY1084: $i] :
( ~ ( r3 @ SY1083 @ SY1084 )
| ( SV618 @ SY1084 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2900]) ).
thf(2937,plain,
! [SV618: $i > $o,SV637: $i,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ SV637 )
| ! [SY1125: $i] :
( ~ ( r3 @ SV637 @ SY1125 )
| ( SV618 @ SY1125 ) ) )
= $true )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(2938,plain,
! [SV619: $i > $o,SV601: $i] :
( ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true )
| ( ( ! [SY1086: $i] :
( ~ ( r3 @ SV601 @ SY1086 )
| ! [SY1087: $i] :
( ~ ( r1 @ SY1086 @ SY1087 )
| ( SV619 @ SY1087 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2902]) ).
thf(2939,plain,
! [SV619: $i > $o,SV638: $i,SV601: $i] :
( ( ( ~ ( r3 @ SV601 @ SV638 )
| ! [SY1126: $i] :
( ~ ( r1 @ SV638 @ SY1126 )
| ( SV619 @ SY1126 ) ) )
= $true )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(2940,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true )
| ( ( ~ ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(2941,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $false )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(2942,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true )
| ( ( ~ ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2906]) ).
thf(2943,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $false )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2907]) ).
thf(2944,plain,
! [SV622: $i > $o,SV604: $i] :
( ( ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $true )
| ( ( ! [SY1093: $i] :
( ~ ( r1 @ SV604 @ SY1093 )
| ( SV622 @ SY1093 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2908]) ).
thf(2945,plain,
! [SV622: $i > $o,SV639: $i,SV604: $i] :
( ( ( ~ ( r1 @ SV604 @ SV639 )
| ( SV622 @ SV639 ) )
= $true )
| ( ( SV622 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2909]) ).
thf(2946,plain,
! [SV623: $i > $o,SV605: $i] :
( ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true )
| ( ( ! [SY1095: $i] :
( ~ ( r2 @ SV605 @ SY1095 )
| ! [SY1096: $i] :
( ~ ( r3 @ SY1095 @ SY1096 )
| ( SV623 @ SY1096 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2910]) ).
thf(2947,plain,
! [SV623: $i > $o,SV640: $i,SV605: $i] :
( ( ( ~ ( r2 @ SV605 @ SV640 )
| ! [SY1127: $i] :
( ~ ( r3 @ SV640 @ SY1127 )
| ( SV623 @ SY1127 ) ) )
= $true )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2911]) ).
thf(2948,plain,
! [SV624: $i > $o,SV633: $i,SV606: $i] :
( ( ( ~ ( r2 @ SV606 @ SV633 ) )
= $true )
| ( ( SV624 @ SV633 )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2912]) ).
thf(2949,plain,
! [SV625: $i > $o,SV607: $i] :
( ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true )
| ( ( ! [SY1101: $i] :
( ~ ( r1 @ SV607 @ SY1101 )
| ! [SY1102: $i] :
( ~ ( r2 @ SY1101 @ SY1102 )
| ( SV625 @ SY1102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2913]) ).
thf(2950,plain,
! [SV625: $i > $o,SV641: $i,SV607: $i] :
( ( ( ~ ( r1 @ SV607 @ SV641 )
| ! [SY1128: $i] :
( ~ ( r2 @ SV641 @ SY1128 )
| ( SV625 @ SY1128 ) ) )
= $true )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2914]) ).
thf(2951,plain,
! [SV626: $i > $o,SV608: $i] :
( ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true )
| ( ( ! [SY1104: $i] :
( ~ ( r2 @ SV608 @ SY1104 )
| ! [SY1105: $i] :
( ~ ( r2 @ SY1104 @ SY1105 )
| ( SV626 @ SY1105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2915]) ).
thf(2952,plain,
! [SV626: $i > $o,SV642: $i,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ SV642 )
| ! [SY1129: $i] :
( ~ ( r2 @ SV642 @ SY1129 )
| ( SV626 @ SY1129 ) ) )
= $true )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(2953,plain,
! [SV627: $i > $o,SV609: $i] :
( ( ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $true )
| ( ( ! [SY1107: $i] :
( ~ ( r2 @ SV609 @ SY1107 )
| ( SV627 @ SY1107 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2917]) ).
thf(2954,plain,
! [SV627: $i > $o,SV643: $i,SV609: $i] :
( ( ( ~ ( r2 @ SV609 @ SV643 )
| ( SV627 @ SV643 ) )
= $true )
| ( ( SV627 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(2955,plain,
! [SV628: $i > $o,SV610: $i] :
( ( ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $true )
| ( ( ! [SY1109: $i] :
( ~ ( r1 @ SV610 @ SY1109 )
| ( SV628 @ SY1109 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(2956,plain,
! [SV628: $i > $o,SV644: $i,SV610: $i] :
( ( ( ~ ( r1 @ SV610 @ SV644 )
| ( SV628 @ SV644 ) )
= $true )
| ( ( SV628 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2920]) ).
thf(2957,plain,
! [SV629: $i > $o,SV611: $i] :
( ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true )
| ( ( ! [SY1111: $i] :
( ~ ( r1 @ SV611 @ SY1111 )
| ! [SY1112: $i] :
( ~ ( r3 @ SY1111 @ SY1112 )
| ( SV629 @ SY1112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2921]) ).
thf(2958,plain,
! [SV629: $i > $o,SV645: $i,SV611: $i] :
( ( ( ~ ( r1 @ SV611 @ SV645 )
| ! [SY1130: $i] :
( ~ ( r3 @ SV645 @ SY1130 )
| ( SV629 @ SY1130 ) ) )
= $true )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2922]) ).
thf(2959,plain,
! [SV630: $i > $o,SV612: $i] :
( ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true )
| ( ( ! [SY1114: $i] :
( ~ ( r1 @ SV612 @ SY1114 )
| ! [SY1115: $i] :
( ~ ( r1 @ SY1114 @ SY1115 )
| ( SV630 @ SY1115 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2923]) ).
thf(2960,plain,
! [SV630: $i > $o,SV646: $i,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ SV646 )
| ! [SY1131: $i] :
( ~ ( r1 @ SV646 @ SY1131 )
| ( SV630 @ SY1131 ) ) )
= $true )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2924]) ).
thf(2961,plain,
! [SV631: $i > $o,SV634: $i,SV613: $i] :
( ( ( ~ ( r3 @ SV613 @ SV634 ) )
= $true )
| ( ( SV631 @ SV634 )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(2962,plain,
! [SV614: $i > $o,SV647: $i,SV596: $i] :
( ( ( ~ ( r2 @ SV596 @ SV647 )
| ! [SY1132: $i] :
( ~ ( r1 @ SV647 @ SY1132 )
| ( SV614 @ SY1132 ) ) )
= $true )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2926]) ).
thf(2963,plain,
! [SV614: $i > $o,SV635: $i,SV596: $i] :
( ( ( ~ ( r2 @ SV596 @ SV635 ) )
= $true )
| ( ( ! [SY1123: $i] :
( ~ ( r1 @ SV635 @ SY1123 )
| ( SV614 @ SY1123 ) ) )
= $true )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2927]) ).
thf(2964,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ! [SY1071: $i] :
( ~ ( r1 @ SV597 @ SY1071 )
| ~ ( SV615 @ SY1071 ) ) )
= $false )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2928]) ).
thf(2965,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK216_SY1071 @ SV615 @ SV597 ) )
| ~ ( SV615 @ ( sK216_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2929]) ).
thf(2966,plain,
( ( ~ ( r3 @ sK197_SX0 @ sK215_SY1119 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2930]) ).
thf(2967,plain,
( ( sK198_SY1072 @ sK215_SY1119 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2930]) ).
thf(2968,plain,
! [SV648: $i] :
( ( ~ ( r3 @ sK201_SY1120 @ SV648 )
| ( sK198_SY1072 @ SV648 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2932]) ).
thf(2969,plain,
! [SV616: $i > $o,SV632: $i,SV598: $i] :
( ( ( r1 @ SV598 @ SV632 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r1 @ SV598 @ SY1077 )
| ~ ! [SY1078: $i] :
( ~ ( r1 @ SY1077 @ SY1078 )
| ( SV616 @ SY1078 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2933]) ).
thf(2970,plain,
! [SV617: $i > $o,SV649: $i,SV599: $i] :
( ( ( ~ ( r3 @ SV599 @ SV649 )
| ! [SY1133: $i] :
( ~ ( r2 @ SV649 @ SY1133 )
| ( SV617 @ SY1133 ) ) )
= $true )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(2971,plain,
! [SV617: $i > $o,SV636: $i,SV599: $i] :
( ( ( ~ ( r3 @ SV599 @ SV636 ) )
= $true )
| ( ( ! [SY1124: $i] :
( ~ ( r2 @ SV636 @ SY1124 )
| ( SV617 @ SY1124 ) ) )
= $true )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2935]) ).
thf(2972,plain,
! [SV618: $i > $o,SV650: $i,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ SV650 )
| ! [SY1134: $i] :
( ~ ( r3 @ SV650 @ SY1134 )
| ( SV618 @ SY1134 ) ) )
= $true )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(2973,plain,
! [SV618: $i > $o,SV637: $i,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ SV637 ) )
= $true )
| ( ( ! [SY1125: $i] :
( ~ ( r3 @ SV637 @ SY1125 )
| ( SV618 @ SY1125 ) ) )
= $true )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(2974,plain,
! [SV619: $i > $o,SV651: $i,SV601: $i] :
( ( ( ~ ( r3 @ SV601 @ SV651 )
| ! [SY1135: $i] :
( ~ ( r1 @ SV651 @ SY1135 )
| ( SV619 @ SY1135 ) ) )
= $true )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2938]) ).
thf(2975,plain,
! [SV619: $i > $o,SV638: $i,SV601: $i] :
( ( ( ~ ( r3 @ SV601 @ SV638 ) )
= $true )
| ( ( ! [SY1126: $i] :
( ~ ( r1 @ SV638 @ SY1126 )
| ( SV619 @ SY1126 ) ) )
= $true )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2939]) ).
thf(2976,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ! [SY1089: $i] :
( ~ ( r3 @ SV602 @ SY1089 )
| ~ ( SV620 @ SY1089 ) ) )
= $false )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2940]) ).
thf(2977,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK217_SY1089 @ SV620 @ SV602 ) )
| ~ ( SV620 @ ( sK217_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2941]) ).
thf(2978,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ! [SY1091: $i] :
( ~ ( r2 @ SV603 @ SY1091 )
| ~ ( SV621 @ SY1091 ) ) )
= $false )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(2979,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK218_SY1091 @ SV621 @ SV603 ) )
| ~ ( SV621 @ ( sK218_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2943]) ).
thf(2980,plain,
! [SV622: $i > $o,SV652: $i,SV604: $i] :
( ( ( ~ ( r1 @ SV604 @ SV652 )
| ( SV622 @ SV652 ) )
= $true )
| ( ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2944]) ).
thf(2981,plain,
! [SV622: $i > $o,SV639: $i,SV604: $i] :
( ( ( ~ ( r1 @ SV604 @ SV639 ) )
= $true )
| ( ( SV622 @ SV639 )
= $true )
| ( ( SV622 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2945]) ).
thf(2982,plain,
! [SV623: $i > $o,SV653: $i,SV605: $i] :
( ( ( ~ ( r2 @ SV605 @ SV653 )
| ! [SY1136: $i] :
( ~ ( r3 @ SV653 @ SY1136 )
| ( SV623 @ SY1136 ) ) )
= $true )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2946]) ).
thf(2983,plain,
! [SV623: $i > $o,SV640: $i,SV605: $i] :
( ( ( ~ ( r2 @ SV605 @ SV640 ) )
= $true )
| ( ( ! [SY1127: $i] :
( ~ ( r3 @ SV640 @ SY1127 )
| ( SV623 @ SY1127 ) ) )
= $true )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2947]) ).
thf(2984,plain,
! [SV624: $i > $o,SV633: $i,SV606: $i] :
( ( ( r2 @ SV606 @ SV633 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r2 @ SV606 @ SY1098 )
| ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1098 @ SY1099 )
| ( SV624 @ SY1099 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(2985,plain,
! [SV625: $i > $o,SV654: $i,SV607: $i] :
( ( ( ~ ( r1 @ SV607 @ SV654 )
| ! [SY1137: $i] :
( ~ ( r2 @ SV654 @ SY1137 )
| ( SV625 @ SY1137 ) ) )
= $true )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2949]) ).
thf(2986,plain,
! [SV625: $i > $o,SV641: $i,SV607: $i] :
( ( ( ~ ( r1 @ SV607 @ SV641 ) )
= $true )
| ( ( ! [SY1128: $i] :
( ~ ( r2 @ SV641 @ SY1128 )
| ( SV625 @ SY1128 ) ) )
= $true )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(2987,plain,
! [SV626: $i > $o,SV655: $i,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ SV655 )
| ! [SY1138: $i] :
( ~ ( r2 @ SV655 @ SY1138 )
| ( SV626 @ SY1138 ) ) )
= $true )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2951]) ).
thf(2988,plain,
! [SV626: $i > $o,SV642: $i,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ SV642 ) )
= $true )
| ( ( ! [SY1129: $i] :
( ~ ( r2 @ SV642 @ SY1129 )
| ( SV626 @ SY1129 ) ) )
= $true )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(2989,plain,
! [SV627: $i > $o,SV656: $i,SV609: $i] :
( ( ( ~ ( r2 @ SV609 @ SV656 )
| ( SV627 @ SV656 ) )
= $true )
| ( ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2953]) ).
thf(2990,plain,
! [SV627: $i > $o,SV643: $i,SV609: $i] :
( ( ( ~ ( r2 @ SV609 @ SV643 ) )
= $true )
| ( ( SV627 @ SV643 )
= $true )
| ( ( SV627 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2954]) ).
thf(2991,plain,
! [SV628: $i > $o,SV657: $i,SV610: $i] :
( ( ( ~ ( r1 @ SV610 @ SV657 )
| ( SV628 @ SV657 ) )
= $true )
| ( ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2955]) ).
thf(2992,plain,
! [SV628: $i > $o,SV644: $i,SV610: $i] :
( ( ( ~ ( r1 @ SV610 @ SV644 ) )
= $true )
| ( ( SV628 @ SV644 )
= $true )
| ( ( SV628 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(2993,plain,
! [SV629: $i > $o,SV658: $i,SV611: $i] :
( ( ( ~ ( r1 @ SV611 @ SV658 )
| ! [SY1139: $i] :
( ~ ( r3 @ SV658 @ SY1139 )
| ( SV629 @ SY1139 ) ) )
= $true )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2957]) ).
thf(2994,plain,
! [SV629: $i > $o,SV645: $i,SV611: $i] :
( ( ( ~ ( r1 @ SV611 @ SV645 ) )
= $true )
| ( ( ! [SY1130: $i] :
( ~ ( r3 @ SV645 @ SY1130 )
| ( SV629 @ SY1130 ) ) )
= $true )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2958]) ).
thf(2995,plain,
! [SV630: $i > $o,SV659: $i,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ SV659 )
| ! [SY1140: $i] :
( ~ ( r1 @ SV659 @ SY1140 )
| ( SV630 @ SY1140 ) ) )
= $true )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2959]) ).
thf(2996,plain,
! [SV630: $i > $o,SV646: $i,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ SV646 ) )
= $true )
| ( ( ! [SY1131: $i] :
( ~ ( r1 @ SV646 @ SY1131 )
| ( SV630 @ SY1131 ) ) )
= $true )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2960]) ).
thf(2997,plain,
! [SV631: $i > $o,SV634: $i,SV613: $i] :
( ( ( r3 @ SV613 @ SV634 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( ! [SY1117: $i] :
( ~ ( r3 @ SV613 @ SY1117 )
| ~ ! [SY1118: $i] :
( ~ ( r3 @ SY1117 @ SY1118 )
| ( SV631 @ SY1118 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(2998,plain,
! [SV614: $i > $o,SV647: $i,SV596: $i] :
( ( ( ~ ( r2 @ SV596 @ SV647 ) )
= $true )
| ( ( ! [SY1132: $i] :
( ~ ( r1 @ SV647 @ SY1132 )
| ( SV614 @ SY1132 ) ) )
= $true )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2962]) ).
thf(2999,plain,
! [SV614: $i > $o,SV635: $i,SV596: $i] :
( ( ( r2 @ SV596 @ SV635 )
= $false )
| ( ( ! [SY1123: $i] :
( ~ ( r1 @ SV635 @ SY1123 )
| ( SV614 @ SY1123 ) ) )
= $true )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3000,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK219_SY1071 @ SV615 @ SV597 ) )
| ~ ( SV615 @ ( sK219_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2964]) ).
thf(3001,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK216_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(3002,plain,
! [SV597: $i,SV615: $i > $o] :
( ( ( ~ ( SV615 @ ( sK216_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2965]) ).
thf(3003,plain,
( ( r3 @ sK197_SX0 @ sK215_SY1119 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3004,plain,
! [SV648: $i] :
( ( ( ~ ( r3 @ sK201_SY1120 @ SV648 ) )
= $true )
| ( ( sK198_SY1072 @ SV648 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3005,plain,
! [SV632: $i,SV616: $i > $o,SV660: $i,SV598: $i] :
( ( ( ~ ( r1 @ SV598 @ SV660 )
| ~ ! [SY1141: $i] :
( ~ ( r1 @ SV660 @ SY1141 )
| ( SV616 @ SY1141 ) ) )
= $true )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2969]) ).
thf(3006,plain,
! [SV617: $i > $o,SV649: $i,SV599: $i] :
( ( ( ~ ( r3 @ SV599 @ SV649 ) )
= $true )
| ( ( ! [SY1133: $i] :
( ~ ( r2 @ SV649 @ SY1133 )
| ( SV617 @ SY1133 ) ) )
= $true )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2970]) ).
thf(3007,plain,
! [SV617: $i > $o,SV636: $i,SV599: $i] :
( ( ( r3 @ SV599 @ SV636 )
= $false )
| ( ( ! [SY1124: $i] :
( ~ ( r2 @ SV636 @ SY1124 )
| ( SV617 @ SY1124 ) ) )
= $true )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3008,plain,
! [SV618: $i > $o,SV650: $i,SV600: $i] :
( ( ( ~ ( r3 @ SV600 @ SV650 ) )
= $true )
| ( ( ! [SY1134: $i] :
( ~ ( r3 @ SV650 @ SY1134 )
| ( SV618 @ SY1134 ) ) )
= $true )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(3009,plain,
! [SV618: $i > $o,SV637: $i,SV600: $i] :
( ( ( r3 @ SV600 @ SV637 )
= $false )
| ( ( ! [SY1125: $i] :
( ~ ( r3 @ SV637 @ SY1125 )
| ( SV618 @ SY1125 ) ) )
= $true )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3010,plain,
! [SV619: $i > $o,SV651: $i,SV601: $i] :
( ( ( ~ ( r3 @ SV601 @ SV651 ) )
= $true )
| ( ( ! [SY1135: $i] :
( ~ ( r1 @ SV651 @ SY1135 )
| ( SV619 @ SY1135 ) ) )
= $true )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2974]) ).
thf(3011,plain,
! [SV619: $i > $o,SV638: $i,SV601: $i] :
( ( ( r3 @ SV601 @ SV638 )
= $false )
| ( ( ! [SY1126: $i] :
( ~ ( r1 @ SV638 @ SY1126 )
| ( SV619 @ SY1126 ) ) )
= $true )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3012,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK220_SY1089 @ SV620 @ SV602 ) )
| ~ ( SV620 @ ( sK220_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2976]) ).
thf(3013,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK217_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2977]) ).
thf(3014,plain,
! [SV602: $i,SV620: $i > $o] :
( ( ( ~ ( SV620 @ ( sK217_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2977]) ).
thf(3015,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK221_SY1091 @ SV621 @ SV603 ) )
| ~ ( SV621 @ ( sK221_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2978]) ).
thf(3016,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK218_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2979]) ).
thf(3017,plain,
! [SV603: $i,SV621: $i > $o] :
( ( ( ~ ( SV621 @ ( sK218_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2979]) ).
thf(3018,plain,
! [SV622: $i > $o,SV652: $i,SV604: $i] :
( ( ( ~ ( r1 @ SV604 @ SV652 ) )
= $true )
| ( ( SV622 @ SV652 )
= $true )
| ( ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2980]) ).
thf(3019,plain,
! [SV622: $i > $o,SV639: $i,SV604: $i] :
( ( ( r1 @ SV604 @ SV639 )
= $false )
| ( ( SV622 @ SV639 )
= $true )
| ( ( SV622 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2981]) ).
thf(3020,plain,
! [SV623: $i > $o,SV653: $i,SV605: $i] :
( ( ( ~ ( r2 @ SV605 @ SV653 ) )
= $true )
| ( ( ! [SY1136: $i] :
( ~ ( r3 @ SV653 @ SY1136 )
| ( SV623 @ SY1136 ) ) )
= $true )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2982]) ).
thf(3021,plain,
! [SV623: $i > $o,SV640: $i,SV605: $i] :
( ( ( r2 @ SV605 @ SV640 )
= $false )
| ( ( ! [SY1127: $i] :
( ~ ( r3 @ SV640 @ SY1127 )
| ( SV623 @ SY1127 ) ) )
= $true )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3022,plain,
! [SV633: $i,SV624: $i > $o,SV661: $i,SV606: $i] :
( ( ( ~ ( r2 @ SV606 @ SV661 )
| ~ ! [SY1142: $i] :
( ~ ( r2 @ SV661 @ SY1142 )
| ( SV624 @ SY1142 ) ) )
= $true )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2984]) ).
thf(3023,plain,
! [SV625: $i > $o,SV654: $i,SV607: $i] :
( ( ( ~ ( r1 @ SV607 @ SV654 ) )
= $true )
| ( ( ! [SY1137: $i] :
( ~ ( r2 @ SV654 @ SY1137 )
| ( SV625 @ SY1137 ) ) )
= $true )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2985]) ).
thf(3024,plain,
! [SV625: $i > $o,SV641: $i,SV607: $i] :
( ( ( r1 @ SV607 @ SV641 )
= $false )
| ( ( ! [SY1128: $i] :
( ~ ( r2 @ SV641 @ SY1128 )
| ( SV625 @ SY1128 ) ) )
= $true )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2986]) ).
thf(3025,plain,
! [SV626: $i > $o,SV655: $i,SV608: $i] :
( ( ( ~ ( r2 @ SV608 @ SV655 ) )
= $true )
| ( ( ! [SY1138: $i] :
( ~ ( r2 @ SV655 @ SY1138 )
| ( SV626 @ SY1138 ) ) )
= $true )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3026,plain,
! [SV626: $i > $o,SV642: $i,SV608: $i] :
( ( ( r2 @ SV608 @ SV642 )
= $false )
| ( ( ! [SY1129: $i] :
( ~ ( r2 @ SV642 @ SY1129 )
| ( SV626 @ SY1129 ) ) )
= $true )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2988]) ).
thf(3027,plain,
! [SV627: $i > $o,SV656: $i,SV609: $i] :
( ( ( ~ ( r2 @ SV609 @ SV656 ) )
= $true )
| ( ( SV627 @ SV656 )
= $true )
| ( ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2989]) ).
thf(3028,plain,
! [SV627: $i > $o,SV643: $i,SV609: $i] :
( ( ( r2 @ SV609 @ SV643 )
= $false )
| ( ( SV627 @ SV643 )
= $true )
| ( ( SV627 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2990]) ).
thf(3029,plain,
! [SV628: $i > $o,SV657: $i,SV610: $i] :
( ( ( ~ ( r1 @ SV610 @ SV657 ) )
= $true )
| ( ( SV628 @ SV657 )
= $true )
| ( ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3030,plain,
! [SV628: $i > $o,SV644: $i,SV610: $i] :
( ( ( r1 @ SV610 @ SV644 )
= $false )
| ( ( SV628 @ SV644 )
= $true )
| ( ( SV628 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3031,plain,
! [SV629: $i > $o,SV658: $i,SV611: $i] :
( ( ( ~ ( r1 @ SV611 @ SV658 ) )
= $true )
| ( ( ! [SY1139: $i] :
( ~ ( r3 @ SV658 @ SY1139 )
| ( SV629 @ SY1139 ) ) )
= $true )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2993]) ).
thf(3032,plain,
! [SV629: $i > $o,SV645: $i,SV611: $i] :
( ( ( r1 @ SV611 @ SV645 )
= $false )
| ( ( ! [SY1130: $i] :
( ~ ( r3 @ SV645 @ SY1130 )
| ( SV629 @ SY1130 ) ) )
= $true )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2994]) ).
thf(3033,plain,
! [SV630: $i > $o,SV659: $i,SV612: $i] :
( ( ( ~ ( r1 @ SV612 @ SV659 ) )
= $true )
| ( ( ! [SY1140: $i] :
( ~ ( r1 @ SV659 @ SY1140 )
| ( SV630 @ SY1140 ) ) )
= $true )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2995]) ).
thf(3034,plain,
! [SV630: $i > $o,SV646: $i,SV612: $i] :
( ( ( r1 @ SV612 @ SV646 )
= $false )
| ( ( ! [SY1131: $i] :
( ~ ( r1 @ SV646 @ SY1131 )
| ( SV630 @ SY1131 ) ) )
= $true )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3035,plain,
! [SV634: $i,SV631: $i > $o,SV662: $i,SV613: $i] :
( ( ( ~ ( r3 @ SV613 @ SV662 )
| ~ ! [SY1143: $i] :
( ~ ( r3 @ SV662 @ SY1143 )
| ( SV631 @ SY1143 ) ) )
= $true )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2997]) ).
thf(3036,plain,
! [SV614: $i > $o,SV647: $i,SV596: $i] :
( ( ( r2 @ SV596 @ SV647 )
= $false )
| ( ( ! [SY1132: $i] :
( ~ ( r1 @ SV647 @ SY1132 )
| ( SV614 @ SY1132 ) ) )
= $true )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2998]) ).
thf(3037,plain,
! [SV596: $i,SV614: $i > $o,SV663: $i,SV635: $i] :
( ( ( ~ ( r1 @ SV635 @ SV663 )
| ( SV614 @ SV663 ) )
= $true )
| ( ( r2 @ SV596 @ SV635 )
= $false )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2999]) ).
thf(3038,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( ~ ( r1 @ SV597 @ ( sK219_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3039,plain,
! [SV597: $i,SV615: $i > $o] :
( ( ( ~ ( SV615 @ ( sK219_SY1071 @ SV615 @ SV597 ) ) )
= $false )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3040,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( r1 @ SV597 @ ( sK216_SY1071 @ SV615 @ SV597 ) )
= $true )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3001]) ).
thf(3041,plain,
! [SV597: $i,SV615: $i > $o] :
( ( ( SV615 @ ( sK216_SY1071 @ SV615 @ SV597 ) )
= $true )
| ( ( SV615 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3002]) ).
thf(3042,plain,
! [SV648: $i] :
( ( ( r3 @ sK201_SY1120 @ SV648 )
= $false )
| ( ( sK198_SY1072 @ SV648 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3004]) ).
thf(3043,plain,
! [SV632: $i,SV616: $i > $o,SV660: $i,SV598: $i] :
( ( ( ~ ( r1 @ SV598 @ SV660 ) )
= $true )
| ( ( ~ ! [SY1141: $i] :
( ~ ( r1 @ SV660 @ SY1141 )
| ( SV616 @ SY1141 ) ) )
= $true )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3005]) ).
thf(3044,plain,
! [SV617: $i > $o,SV649: $i,SV599: $i] :
( ( ( r3 @ SV599 @ SV649 )
= $false )
| ( ( ! [SY1133: $i] :
( ~ ( r2 @ SV649 @ SY1133 )
| ( SV617 @ SY1133 ) ) )
= $true )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3006]) ).
thf(3045,plain,
! [SV599: $i,SV617: $i > $o,SV664: $i,SV636: $i] :
( ( ( ~ ( r2 @ SV636 @ SV664 )
| ( SV617 @ SV664 ) )
= $true )
| ( ( r3 @ SV599 @ SV636 )
= $false )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3007]) ).
thf(3046,plain,
! [SV618: $i > $o,SV650: $i,SV600: $i] :
( ( ( r3 @ SV600 @ SV650 )
= $false )
| ( ( ! [SY1134: $i] :
( ~ ( r3 @ SV650 @ SY1134 )
| ( SV618 @ SY1134 ) ) )
= $true )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3047,plain,
! [SV600: $i,SV618: $i > $o,SV665: $i,SV637: $i] :
( ( ( ~ ( r3 @ SV637 @ SV665 )
| ( SV618 @ SV665 ) )
= $true )
| ( ( r3 @ SV600 @ SV637 )
= $false )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3009]) ).
thf(3048,plain,
! [SV619: $i > $o,SV651: $i,SV601: $i] :
( ( ( r3 @ SV601 @ SV651 )
= $false )
| ( ( ! [SY1135: $i] :
( ~ ( r1 @ SV651 @ SY1135 )
| ( SV619 @ SY1135 ) ) )
= $true )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3049,plain,
! [SV601: $i,SV619: $i > $o,SV666: $i,SV638: $i] :
( ( ( ~ ( r1 @ SV638 @ SV666 )
| ( SV619 @ SV666 ) )
= $true )
| ( ( r3 @ SV601 @ SV638 )
= $false )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3011]) ).
thf(3050,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( ~ ( r3 @ SV602 @ ( sK220_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3012]) ).
thf(3051,plain,
! [SV602: $i,SV620: $i > $o] :
( ( ( ~ ( SV620 @ ( sK220_SY1089 @ SV620 @ SV602 ) ) )
= $false )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3012]) ).
thf(3052,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( r3 @ SV602 @ ( sK217_SY1089 @ SV620 @ SV602 ) )
= $true )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3013]) ).
thf(3053,plain,
! [SV602: $i,SV620: $i > $o] :
( ( ( SV620 @ ( sK217_SY1089 @ SV620 @ SV602 ) )
= $true )
| ( ( SV620 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3014]) ).
thf(3054,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( ~ ( r2 @ SV603 @ ( sK221_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3015]) ).
thf(3055,plain,
! [SV603: $i,SV621: $i > $o] :
( ( ( ~ ( SV621 @ ( sK221_SY1091 @ SV621 @ SV603 ) ) )
= $false )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3015]) ).
thf(3056,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( r2 @ SV603 @ ( sK218_SY1091 @ SV621 @ SV603 ) )
= $true )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3016]) ).
thf(3057,plain,
! [SV603: $i,SV621: $i > $o] :
( ( ( SV621 @ ( sK218_SY1091 @ SV621 @ SV603 ) )
= $true )
| ( ( SV621 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3058,plain,
! [SV622: $i > $o,SV652: $i,SV604: $i] :
( ( ( r1 @ SV604 @ SV652 )
= $false )
| ( ( SV622 @ SV652 )
= $true )
| ( ( r2 @ SV604 @ ( sK207_SY1092 @ SV622 @ SV604 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3059,plain,
! [SV623: $i > $o,SV653: $i,SV605: $i] :
( ( ( r2 @ SV605 @ SV653 )
= $false )
| ( ( ! [SY1136: $i] :
( ~ ( r3 @ SV653 @ SY1136 )
| ( SV623 @ SY1136 ) ) )
= $true )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3060,plain,
! [SV605: $i,SV623: $i > $o,SV667: $i,SV640: $i] :
( ( ( ~ ( r3 @ SV640 @ SV667 )
| ( SV623 @ SV667 ) )
= $true )
| ( ( r2 @ SV605 @ SV640 )
= $false )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3021]) ).
thf(3061,plain,
! [SV633: $i,SV624: $i > $o,SV661: $i,SV606: $i] :
( ( ( ~ ( r2 @ SV606 @ SV661 ) )
= $true )
| ( ( ~ ! [SY1142: $i] :
( ~ ( r2 @ SV661 @ SY1142 )
| ( SV624 @ SY1142 ) ) )
= $true )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3022]) ).
thf(3062,plain,
! [SV625: $i > $o,SV654: $i,SV607: $i] :
( ( ( r1 @ SV607 @ SV654 )
= $false )
| ( ( ! [SY1137: $i] :
( ~ ( r2 @ SV654 @ SY1137 )
| ( SV625 @ SY1137 ) ) )
= $true )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3063,plain,
! [SV607: $i,SV625: $i > $o,SV668: $i,SV641: $i] :
( ( ( ~ ( r2 @ SV641 @ SV668 )
| ( SV625 @ SV668 ) )
= $true )
| ( ( r1 @ SV607 @ SV641 )
= $false )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3024]) ).
thf(3064,plain,
! [SV626: $i > $o,SV655: $i,SV608: $i] :
( ( ( r2 @ SV608 @ SV655 )
= $false )
| ( ( ! [SY1138: $i] :
( ~ ( r2 @ SV655 @ SY1138 )
| ( SV626 @ SY1138 ) ) )
= $true )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3065,plain,
! [SV608: $i,SV626: $i > $o,SV669: $i,SV642: $i] :
( ( ( ~ ( r2 @ SV642 @ SV669 )
| ( SV626 @ SV669 ) )
= $true )
| ( ( r2 @ SV608 @ SV642 )
= $false )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3026]) ).
thf(3066,plain,
! [SV627: $i > $o,SV656: $i,SV609: $i] :
( ( ( r2 @ SV609 @ SV656 )
= $false )
| ( ( SV627 @ SV656 )
= $true )
| ( ( r3 @ SV609 @ ( sK211_SY1106 @ SV627 @ SV609 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3027]) ).
thf(3067,plain,
! [SV628: $i > $o,SV657: $i,SV610: $i] :
( ( ( r1 @ SV610 @ SV657 )
= $false )
| ( ( SV628 @ SV657 )
= $true )
| ( ( r3 @ SV610 @ ( sK212_SY1108 @ SV628 @ SV610 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3068,plain,
! [SV629: $i > $o,SV658: $i,SV611: $i] :
( ( ( r1 @ SV611 @ SV658 )
= $false )
| ( ( ! [SY1139: $i] :
( ~ ( r3 @ SV658 @ SY1139 )
| ( SV629 @ SY1139 ) ) )
= $true )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3069,plain,
! [SV611: $i,SV629: $i > $o,SV670: $i,SV645: $i] :
( ( ( ~ ( r3 @ SV645 @ SV670 )
| ( SV629 @ SV670 ) )
= $true )
| ( ( r1 @ SV611 @ SV645 )
= $false )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3032]) ).
thf(3070,plain,
! [SV630: $i > $o,SV659: $i,SV612: $i] :
( ( ( r1 @ SV612 @ SV659 )
= $false )
| ( ( ! [SY1140: $i] :
( ~ ( r1 @ SV659 @ SY1140 )
| ( SV630 @ SY1140 ) ) )
= $true )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3071,plain,
! [SV612: $i,SV630: $i > $o,SV671: $i,SV646: $i] :
( ( ( ~ ( r1 @ SV646 @ SV671 )
| ( SV630 @ SV671 ) )
= $true )
| ( ( r1 @ SV612 @ SV646 )
= $false )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3034]) ).
thf(3072,plain,
! [SV634: $i,SV631: $i > $o,SV662: $i,SV613: $i] :
( ( ( ~ ( r3 @ SV613 @ SV662 ) )
= $true )
| ( ( ~ ! [SY1143: $i] :
( ~ ( r3 @ SV662 @ SY1143 )
| ( SV631 @ SY1143 ) ) )
= $true )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3035]) ).
thf(3073,plain,
! [SV596: $i,SV614: $i > $o,SV672: $i,SV647: $i] :
( ( ( ~ ( r1 @ SV647 @ SV672 )
| ( SV614 @ SV672 ) )
= $true )
| ( ( r2 @ SV596 @ SV647 )
= $false )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3036]) ).
thf(3074,plain,
! [SV596: $i,SV614: $i > $o,SV663: $i,SV635: $i] :
( ( ( ~ ( r1 @ SV635 @ SV663 ) )
= $true )
| ( ( SV614 @ SV663 )
= $true )
| ( ( r2 @ SV596 @ SV635 )
= $false )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3037]) ).
thf(3075,plain,
! [SV615: $i > $o,SV597: $i] :
( ( ( r1 @ SV597 @ ( sK219_SY1071 @ SV615 @ SV597 ) )
= $true )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3038]) ).
thf(3076,plain,
! [SV597: $i,SV615: $i > $o] :
( ( ( SV615 @ ( sK219_SY1071 @ SV615 @ SV597 ) )
= $true )
| ( ( r1 @ SV597 @ ( sK200_SY1070 @ SV615 @ SV597 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3039]) ).
thf(3077,plain,
! [SV632: $i,SV616: $i > $o,SV660: $i,SV598: $i] :
( ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( ~ ! [SY1141: $i] :
( ~ ( r1 @ SV660 @ SY1141 )
| ( SV616 @ SY1141 ) ) )
= $true )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3043]) ).
thf(3078,plain,
! [SV599: $i,SV617: $i > $o,SV673: $i,SV649: $i] :
( ( ( ~ ( r2 @ SV649 @ SV673 )
| ( SV617 @ SV673 ) )
= $true )
| ( ( r3 @ SV599 @ SV649 )
= $false )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3044]) ).
thf(3079,plain,
! [SV599: $i,SV617: $i > $o,SV664: $i,SV636: $i] :
( ( ( ~ ( r2 @ SV636 @ SV664 ) )
= $true )
| ( ( SV617 @ SV664 )
= $true )
| ( ( r3 @ SV599 @ SV636 )
= $false )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3045]) ).
thf(3080,plain,
! [SV600: $i,SV618: $i > $o,SV674: $i,SV650: $i] :
( ( ( ~ ( r3 @ SV650 @ SV674 )
| ( SV618 @ SV674 ) )
= $true )
| ( ( r3 @ SV600 @ SV650 )
= $false )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3046]) ).
thf(3081,plain,
! [SV600: $i,SV618: $i > $o,SV665: $i,SV637: $i] :
( ( ( ~ ( r3 @ SV637 @ SV665 ) )
= $true )
| ( ( SV618 @ SV665 )
= $true )
| ( ( r3 @ SV600 @ SV637 )
= $false )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3047]) ).
thf(3082,plain,
! [SV601: $i,SV619: $i > $o,SV675: $i,SV651: $i] :
( ( ( ~ ( r1 @ SV651 @ SV675 )
| ( SV619 @ SV675 ) )
= $true )
| ( ( r3 @ SV601 @ SV651 )
= $false )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3048]) ).
thf(3083,plain,
! [SV601: $i,SV619: $i > $o,SV666: $i,SV638: $i] :
( ( ( ~ ( r1 @ SV638 @ SV666 ) )
= $true )
| ( ( SV619 @ SV666 )
= $true )
| ( ( r3 @ SV601 @ SV638 )
= $false )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3049]) ).
thf(3084,plain,
! [SV620: $i > $o,SV602: $i] :
( ( ( r3 @ SV602 @ ( sK220_SY1089 @ SV620 @ SV602 ) )
= $true )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3050]) ).
thf(3085,plain,
! [SV602: $i,SV620: $i > $o] :
( ( ( SV620 @ ( sK220_SY1089 @ SV620 @ SV602 ) )
= $true )
| ( ( r3 @ SV602 @ ( sK205_SY1088 @ SV620 @ SV602 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3051]) ).
thf(3086,plain,
! [SV621: $i > $o,SV603: $i] :
( ( ( r2 @ SV603 @ ( sK221_SY1091 @ SV621 @ SV603 ) )
= $true )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3087,plain,
! [SV603: $i,SV621: $i > $o] :
( ( ( SV621 @ ( sK221_SY1091 @ SV621 @ SV603 ) )
= $true )
| ( ( r2 @ SV603 @ ( sK206_SY1090 @ SV621 @ SV603 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3055]) ).
thf(3088,plain,
! [SV605: $i,SV623: $i > $o,SV676: $i,SV653: $i] :
( ( ( ~ ( r3 @ SV653 @ SV676 )
| ( SV623 @ SV676 ) )
= $true )
| ( ( r2 @ SV605 @ SV653 )
= $false )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3059]) ).
thf(3089,plain,
! [SV605: $i,SV623: $i > $o,SV667: $i,SV640: $i] :
( ( ( ~ ( r3 @ SV640 @ SV667 ) )
= $true )
| ( ( SV623 @ SV667 )
= $true )
| ( ( r2 @ SV605 @ SV640 )
= $false )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3060]) ).
thf(3090,plain,
! [SV633: $i,SV624: $i > $o,SV661: $i,SV606: $i] :
( ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( ~ ! [SY1142: $i] :
( ~ ( r2 @ SV661 @ SY1142 )
| ( SV624 @ SY1142 ) ) )
= $true )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3091,plain,
! [SV607: $i,SV625: $i > $o,SV677: $i,SV654: $i] :
( ( ( ~ ( r2 @ SV654 @ SV677 )
| ( SV625 @ SV677 ) )
= $true )
| ( ( r1 @ SV607 @ SV654 )
= $false )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3062]) ).
thf(3092,plain,
! [SV607: $i,SV625: $i > $o,SV668: $i,SV641: $i] :
( ( ( ~ ( r2 @ SV641 @ SV668 ) )
= $true )
| ( ( SV625 @ SV668 )
= $true )
| ( ( r1 @ SV607 @ SV641 )
= $false )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3063]) ).
thf(3093,plain,
! [SV608: $i,SV626: $i > $o,SV678: $i,SV655: $i] :
( ( ( ~ ( r2 @ SV655 @ SV678 )
| ( SV626 @ SV678 ) )
= $true )
| ( ( r2 @ SV608 @ SV655 )
= $false )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3064]) ).
thf(3094,plain,
! [SV608: $i,SV626: $i > $o,SV669: $i,SV642: $i] :
( ( ( ~ ( r2 @ SV642 @ SV669 ) )
= $true )
| ( ( SV626 @ SV669 )
= $true )
| ( ( r2 @ SV608 @ SV642 )
= $false )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3065]) ).
thf(3095,plain,
! [SV611: $i,SV629: $i > $o,SV679: $i,SV658: $i] :
( ( ( ~ ( r3 @ SV658 @ SV679 )
| ( SV629 @ SV679 ) )
= $true )
| ( ( r1 @ SV611 @ SV658 )
= $false )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3068]) ).
thf(3096,plain,
! [SV611: $i,SV629: $i > $o,SV670: $i,SV645: $i] :
( ( ( ~ ( r3 @ SV645 @ SV670 ) )
= $true )
| ( ( SV629 @ SV670 )
= $true )
| ( ( r1 @ SV611 @ SV645 )
= $false )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3069]) ).
thf(3097,plain,
! [SV612: $i,SV630: $i > $o,SV680: $i,SV659: $i] :
( ( ( ~ ( r1 @ SV659 @ SV680 )
| ( SV630 @ SV680 ) )
= $true )
| ( ( r1 @ SV612 @ SV659 )
= $false )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3070]) ).
thf(3098,plain,
! [SV612: $i,SV630: $i > $o,SV671: $i,SV646: $i] :
( ( ( ~ ( r1 @ SV646 @ SV671 ) )
= $true )
| ( ( SV630 @ SV671 )
= $true )
| ( ( r1 @ SV612 @ SV646 )
= $false )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3071]) ).
thf(3099,plain,
! [SV634: $i,SV631: $i > $o,SV662: $i,SV613: $i] :
( ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( ~ ! [SY1143: $i] :
( ~ ( r3 @ SV662 @ SY1143 )
| ( SV631 @ SY1143 ) ) )
= $true )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3072]) ).
thf(3100,plain,
! [SV596: $i,SV614: $i > $o,SV672: $i,SV647: $i] :
( ( ( ~ ( r1 @ SV647 @ SV672 ) )
= $true )
| ( ( SV614 @ SV672 )
= $true )
| ( ( r2 @ SV596 @ SV647 )
= $false )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3101,plain,
! [SV596: $i,SV614: $i > $o,SV663: $i,SV635: $i] :
( ( ( r1 @ SV635 @ SV663 )
= $false )
| ( ( SV614 @ SV663 )
= $true )
| ( ( r2 @ SV596 @ SV635 )
= $false )
| ( ( SV614 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3074]) ).
thf(3102,plain,
! [SV632: $i,SV598: $i,SV616: $i > $o,SV660: $i] :
( ( ( ! [SY1141: $i] :
( ~ ( r1 @ SV660 @ SY1141 )
| ( SV616 @ SY1141 ) ) )
= $false )
| ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3077]) ).
thf(3103,plain,
! [SV599: $i,SV617: $i > $o,SV673: $i,SV649: $i] :
( ( ( ~ ( r2 @ SV649 @ SV673 ) )
= $true )
| ( ( SV617 @ SV673 )
= $true )
| ( ( r3 @ SV599 @ SV649 )
= $false )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3078]) ).
thf(3104,plain,
! [SV599: $i,SV617: $i > $o,SV664: $i,SV636: $i] :
( ( ( r2 @ SV636 @ SV664 )
= $false )
| ( ( SV617 @ SV664 )
= $true )
| ( ( r3 @ SV599 @ SV636 )
= $false )
| ( ( SV617 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3079]) ).
thf(3105,plain,
! [SV600: $i,SV618: $i > $o,SV674: $i,SV650: $i] :
( ( ( ~ ( r3 @ SV650 @ SV674 ) )
= $true )
| ( ( SV618 @ SV674 )
= $true )
| ( ( r3 @ SV600 @ SV650 )
= $false )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3080]) ).
thf(3106,plain,
! [SV600: $i,SV618: $i > $o,SV665: $i,SV637: $i] :
( ( ( r3 @ SV637 @ SV665 )
= $false )
| ( ( SV618 @ SV665 )
= $true )
| ( ( r3 @ SV600 @ SV637 )
= $false )
| ( ( SV618 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3081]) ).
thf(3107,plain,
! [SV601: $i,SV619: $i > $o,SV675: $i,SV651: $i] :
( ( ( ~ ( r1 @ SV651 @ SV675 ) )
= $true )
| ( ( SV619 @ SV675 )
= $true )
| ( ( r3 @ SV601 @ SV651 )
= $false )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3082]) ).
thf(3108,plain,
! [SV601: $i,SV619: $i > $o,SV666: $i,SV638: $i] :
( ( ( r1 @ SV638 @ SV666 )
= $false )
| ( ( SV619 @ SV666 )
= $true )
| ( ( r3 @ SV601 @ SV638 )
= $false )
| ( ( SV619 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3109,plain,
! [SV605: $i,SV623: $i > $o,SV676: $i,SV653: $i] :
( ( ( ~ ( r3 @ SV653 @ SV676 ) )
= $true )
| ( ( SV623 @ SV676 )
= $true )
| ( ( r2 @ SV605 @ SV653 )
= $false )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3088]) ).
thf(3110,plain,
! [SV605: $i,SV623: $i > $o,SV667: $i,SV640: $i] :
( ( ( r3 @ SV640 @ SV667 )
= $false )
| ( ( SV623 @ SV667 )
= $true )
| ( ( r2 @ SV605 @ SV640 )
= $false )
| ( ( SV623 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3111,plain,
! [SV633: $i,SV606: $i,SV624: $i > $o,SV661: $i] :
( ( ( ! [SY1142: $i] :
( ~ ( r2 @ SV661 @ SY1142 )
| ( SV624 @ SY1142 ) ) )
= $false )
| ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3090]) ).
thf(3112,plain,
! [SV607: $i,SV625: $i > $o,SV677: $i,SV654: $i] :
( ( ( ~ ( r2 @ SV654 @ SV677 ) )
= $true )
| ( ( SV625 @ SV677 )
= $true )
| ( ( r1 @ SV607 @ SV654 )
= $false )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3091]) ).
thf(3113,plain,
! [SV607: $i,SV625: $i > $o,SV668: $i,SV641: $i] :
( ( ( r2 @ SV641 @ SV668 )
= $false )
| ( ( SV625 @ SV668 )
= $true )
| ( ( r1 @ SV607 @ SV641 )
= $false )
| ( ( SV625 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3114,plain,
! [SV608: $i,SV626: $i > $o,SV678: $i,SV655: $i] :
( ( ( ~ ( r2 @ SV655 @ SV678 ) )
= $true )
| ( ( SV626 @ SV678 )
= $true )
| ( ( r2 @ SV608 @ SV655 )
= $false )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3115,plain,
! [SV608: $i,SV626: $i > $o,SV669: $i,SV642: $i] :
( ( ( r2 @ SV642 @ SV669 )
= $false )
| ( ( SV626 @ SV669 )
= $true )
| ( ( r2 @ SV608 @ SV642 )
= $false )
| ( ( SV626 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3116,plain,
! [SV611: $i,SV629: $i > $o,SV679: $i,SV658: $i] :
( ( ( ~ ( r3 @ SV658 @ SV679 ) )
= $true )
| ( ( SV629 @ SV679 )
= $true )
| ( ( r1 @ SV611 @ SV658 )
= $false )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3095]) ).
thf(3117,plain,
! [SV611: $i,SV629: $i > $o,SV670: $i,SV645: $i] :
( ( ( r3 @ SV645 @ SV670 )
= $false )
| ( ( SV629 @ SV670 )
= $true )
| ( ( r1 @ SV611 @ SV645 )
= $false )
| ( ( SV629 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3118,plain,
! [SV612: $i,SV630: $i > $o,SV680: $i,SV659: $i] :
( ( ( ~ ( r1 @ SV659 @ SV680 ) )
= $true )
| ( ( SV630 @ SV680 )
= $true )
| ( ( r1 @ SV612 @ SV659 )
= $false )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3097]) ).
thf(3119,plain,
! [SV612: $i,SV630: $i > $o,SV671: $i,SV646: $i] :
( ( ( r1 @ SV646 @ SV671 )
= $false )
| ( ( SV630 @ SV671 )
= $true )
| ( ( r1 @ SV612 @ SV646 )
= $false )
| ( ( SV630 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3120,plain,
! [SV634: $i,SV613: $i,SV631: $i > $o,SV662: $i] :
( ( ( ! [SY1143: $i] :
( ~ ( r3 @ SV662 @ SY1143 )
| ( SV631 @ SY1143 ) ) )
= $false )
| ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3099]) ).
thf(3121,plain,
! [SV596: $i,SV614: $i > $o,SV672: $i,SV647: $i] :
( ( ( r1 @ SV647 @ SV672 )
= $false )
| ( ( SV614 @ SV672 )
= $true )
| ( ( r2 @ SV596 @ SV647 )
= $false )
| ( ( r1 @ SV596 @ ( sK199_SY1067 @ SV614 @ SV596 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3122,plain,
! [SV616: $i > $o,SV598: $i,SV632: $i,SV660: $i] :
( ( ( ~ ( r1 @ SV660 @ ( sK222_SY1141 @ SV632 @ SV598 @ SV616 @ SV660 ) )
| ( SV616 @ ( sK222_SY1141 @ SV632 @ SV598 @ SV616 @ SV660 ) ) )
= $false )
| ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3102]) ).
thf(3123,plain,
! [SV599: $i,SV617: $i > $o,SV673: $i,SV649: $i] :
( ( ( r2 @ SV649 @ SV673 )
= $false )
| ( ( SV617 @ SV673 )
= $true )
| ( ( r3 @ SV599 @ SV649 )
= $false )
| ( ( r2 @ SV599 @ ( sK202_SY1079 @ SV617 @ SV599 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3124,plain,
! [SV600: $i,SV618: $i > $o,SV674: $i,SV650: $i] :
( ( ( r3 @ SV650 @ SV674 )
= $false )
| ( ( SV618 @ SV674 )
= $true )
| ( ( r3 @ SV600 @ SV650 )
= $false )
| ( ( r3 @ SV600 @ ( sK203_SY1082 @ SV618 @ SV600 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3125,plain,
! [SV601: $i,SV619: $i > $o,SV675: $i,SV651: $i] :
( ( ( r1 @ SV651 @ SV675 )
= $false )
| ( ( SV619 @ SV675 )
= $true )
| ( ( r3 @ SV601 @ SV651 )
= $false )
| ( ( r1 @ SV601 @ ( sK204_SY1085 @ SV619 @ SV601 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3126,plain,
! [SV605: $i,SV623: $i > $o,SV676: $i,SV653: $i] :
( ( ( r3 @ SV653 @ SV676 )
= $false )
| ( ( SV623 @ SV676 )
= $true )
| ( ( r2 @ SV605 @ SV653 )
= $false )
| ( ( r3 @ SV605 @ ( sK208_SY1094 @ SV623 @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3109]) ).
thf(3127,plain,
! [SV624: $i > $o,SV606: $i,SV633: $i,SV661: $i] :
( ( ( ~ ( r2 @ SV661 @ ( sK223_SY1142 @ SV633 @ SV606 @ SV624 @ SV661 ) )
| ( SV624 @ ( sK223_SY1142 @ SV633 @ SV606 @ SV624 @ SV661 ) ) )
= $false )
| ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3111]) ).
thf(3128,plain,
! [SV607: $i,SV625: $i > $o,SV677: $i,SV654: $i] :
( ( ( r2 @ SV654 @ SV677 )
= $false )
| ( ( SV625 @ SV677 )
= $true )
| ( ( r1 @ SV607 @ SV654 )
= $false )
| ( ( r2 @ SV607 @ ( sK209_SY1100 @ SV625 @ SV607 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3112]) ).
thf(3129,plain,
! [SV608: $i,SV626: $i > $o,SV678: $i,SV655: $i] :
( ( ( r2 @ SV655 @ SV678 )
= $false )
| ( ( SV626 @ SV678 )
= $true )
| ( ( r2 @ SV608 @ SV655 )
= $false )
| ( ( r2 @ SV608 @ ( sK210_SY1103 @ SV626 @ SV608 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3114]) ).
thf(3130,plain,
! [SV611: $i,SV629: $i > $o,SV679: $i,SV658: $i] :
( ( ( r3 @ SV658 @ SV679 )
= $false )
| ( ( SV629 @ SV679 )
= $true )
| ( ( r1 @ SV611 @ SV658 )
= $false )
| ( ( r3 @ SV611 @ ( sK213_SY1110 @ SV629 @ SV611 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3116]) ).
thf(3131,plain,
! [SV612: $i,SV630: $i > $o,SV680: $i,SV659: $i] :
( ( ( r1 @ SV659 @ SV680 )
= $false )
| ( ( SV630 @ SV680 )
= $true )
| ( ( r1 @ SV612 @ SV659 )
= $false )
| ( ( r1 @ SV612 @ ( sK214_SY1113 @ SV630 @ SV612 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3132,plain,
! [SV631: $i > $o,SV613: $i,SV634: $i,SV662: $i] :
( ( ( ~ ( r3 @ SV662 @ ( sK224_SY1143 @ SV634 @ SV613 @ SV631 @ SV662 ) )
| ( SV631 @ ( sK224_SY1143 @ SV634 @ SV613 @ SV631 @ SV662 ) ) )
= $false )
| ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3120]) ).
thf(3133,plain,
! [SV616: $i > $o,SV598: $i,SV632: $i,SV660: $i] :
( ( ( ~ ( r1 @ SV660 @ ( sK222_SY1141 @ SV632 @ SV598 @ SV616 @ SV660 ) ) )
= $false )
| ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3134,plain,
! [SV660: $i,SV598: $i,SV632: $i,SV616: $i > $o] :
( ( ( SV616 @ ( sK222_SY1141 @ SV632 @ SV598 @ SV616 @ SV660 ) )
= $false )
| ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3135,plain,
! [SV624: $i > $o,SV606: $i,SV633: $i,SV661: $i] :
( ( ( ~ ( r2 @ SV661 @ ( sK223_SY1142 @ SV633 @ SV606 @ SV624 @ SV661 ) ) )
= $false )
| ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3136,plain,
! [SV661: $i,SV606: $i,SV633: $i,SV624: $i > $o] :
( ( ( SV624 @ ( sK223_SY1142 @ SV633 @ SV606 @ SV624 @ SV661 ) )
= $false )
| ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3137,plain,
! [SV631: $i > $o,SV613: $i,SV634: $i,SV662: $i] :
( ( ( ~ ( r3 @ SV662 @ ( sK224_SY1143 @ SV634 @ SV613 @ SV631 @ SV662 ) ) )
= $false )
| ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3138,plain,
! [SV662: $i,SV613: $i,SV634: $i,SV631: $i > $o] :
( ( ( SV631 @ ( sK224_SY1143 @ SV634 @ SV613 @ SV631 @ SV662 ) )
= $false )
| ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3139,plain,
! [SV616: $i > $o,SV598: $i,SV632: $i,SV660: $i] :
( ( ( r1 @ SV660 @ ( sK222_SY1141 @ SV632 @ SV598 @ SV616 @ SV660 ) )
= $true )
| ( ( r1 @ SV598 @ SV660 )
= $false )
| ( ( SV616 @ SV632 )
= $true )
| ( ( r1 @ SV598 @ SV632 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3133]) ).
thf(3140,plain,
! [SV624: $i > $o,SV606: $i,SV633: $i,SV661: $i] :
( ( ( r2 @ SV661 @ ( sK223_SY1142 @ SV633 @ SV606 @ SV624 @ SV661 ) )
= $true )
| ( ( r2 @ SV606 @ SV661 )
= $false )
| ( ( SV624 @ SV633 )
= $true )
| ( ( r2 @ SV606 @ SV633 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3141,plain,
! [SV631: $i > $o,SV613: $i,SV634: $i,SV662: $i] :
( ( ( r3 @ SV662 @ ( sK224_SY1143 @ SV634 @ SV613 @ SV631 @ SV662 ) )
= $true )
| ( ( r3 @ SV613 @ SV662 )
= $false )
| ( ( SV631 @ SV634 )
= $true )
| ( ( r3 @ SV613 @ SV634 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3137]) ).
thf(3142,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2931,3141,3140,3139,3138,3136,3134,3131,3130,3129,3128,3126,3125,3124,3123,3121,3119,3117,3115,3113,3110,3108,3106,3104,3101,3087,3086,3085,3084,3076,3075,3067,3066,3058,3057,3056,3053,3052,3042,3041,3040,3030,3028,3019,3003,2967]) ).
thf(3143,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mdia @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(3144,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mdia @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(3145,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mdia @ r3 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(3146,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(3147,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(3148,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(3149,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(3150,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(3151,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(3152,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(3153,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(3154,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(3155,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(3156,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(3157,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(3158,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(3159,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(3160,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(3161,plain,
( ( ~ ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(3162,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3149,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3163,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3155,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3164,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3160,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3165,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3153,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3166,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3157,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3167,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3145,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3168,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3156,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3169,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3152,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3170,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3146,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3171,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3147,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3172,plain,
( ( ~ ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3161,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3173,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3158,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3174,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3144,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3175,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3148,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3176,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3159,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3177,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r2 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3154,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3178,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ~ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3143,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3179,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3151,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3180,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( r1 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r2 @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( r1 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3150,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(3181,plain,
! [SV681: $i] :
( ( ! [SY1144: $i > $o] :
( ~ ! [SY1145: $i] :
( ~ ( r1 @ SV681 @ SY1145 )
| ( SY1144 @ SY1145 ) )
| ! [SY1146: $i] :
( ~ ( r1 @ SV681 @ SY1146 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1146 @ SX3 )
| ( SY1144 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3162]) ).
thf(3182,plain,
! [SV682: $i] :
( ( ! [SY1148: $i > $o] :
( ~ ! [SY1149: $i] :
( ~ ( r3 @ SV682 @ SY1149 )
| ( SY1148 @ SY1149 ) )
| ! [SY1150: $i] :
( ~ ( r1 @ SV682 @ SY1150 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1150 @ SX3 )
| ( SY1148 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3163]) ).
thf(3183,plain,
! [SV683: $i] :
( ( ! [SY1152: $i > $o] :
( ~ ~ ! [SY1153: $i] :
( ~ ( r3 @ SV683 @ SY1153 )
| ( SY1152 @ SY1153 ) )
| ! [SY1154: $i] :
( ~ ( r3 @ SV683 @ SY1154 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY1154 @ SX3 )
| ( SY1152 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3164]) ).
thf(3184,plain,
! [SV684: $i] :
( ( ! [SY1156: $i > $o] :
( ~ ! [SY1157: $i] :
( ~ ( r2 @ SV684 @ SY1157 )
| ( SY1156 @ SY1157 ) )
| ! [SY1158: $i] :
( ~ ( r2 @ SV684 @ SY1158 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1158 @ SX3 )
| ( SY1156 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3165]) ).
thf(3185,plain,
! [SV685: $i] :
( ( ! [SY1160: $i > $o] :
( ~ ! [SY1161: $i] :
( ~ ( r3 @ SV685 @ SY1161 )
| ( SY1160 @ SY1161 ) )
| ! [SY1162: $i] :
( ~ ( r3 @ SV685 @ SY1162 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1162 @ SX3 )
| ( SY1160 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3166]) ).
thf(3186,plain,
! [SV686: $i] :
( ( ! [SY1164: $i > $o] :
( ~ ! [SY1165: $i] :
( ~ ( r3 @ SV686 @ SY1165 )
| ( SY1164 @ SY1165 ) )
| ~ ! [SY1166: $i] :
( ~ ( r3 @ SV686 @ SY1166 )
| ~ ( SY1164 @ SY1166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3167]) ).
thf(3187,plain,
! [SV687: $i] :
( ( ! [SY1167: $i > $o] :
( ~ ! [SY1168: $i] :
( ~ ( r3 @ SV687 @ SY1168 )
| ( SY1167 @ SY1168 ) )
| ! [SY1169: $i] :
( ~ ( r2 @ SV687 @ SY1169 )
| ! [SX3: $i] :
( ~ ( r3 @ SY1169 @ SX3 )
| ( SY1167 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3168]) ).
thf(3188,plain,
! [SV688: $i] :
( ( ! [SY1171: $i > $o] :
( ~ ! [SY1172: $i] :
( ~ ( r2 @ SV688 @ SY1172 )
| ( SY1171 @ SY1172 ) )
| ! [SY1173: $i] :
( ~ ( r1 @ SV688 @ SY1173 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1173 @ SX3 )
| ( SY1171 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3169]) ).
thf(3189,plain,
! [SV689: $i] :
( ( ! [SY1175: $i > $o] :
( ~ ! [SY1176: $i] :
( ~ ( r2 @ SV689 @ SY1176 )
| ( SY1175 @ SY1176 ) )
| ! [SY1177: $i] :
( ~ ( r1 @ SV689 @ SY1177 )
| ( SY1175 @ SY1177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3190,plain,
! [SV690: $i] :
( ( ! [SY1178: $i > $o] :
( ~ ! [SY1179: $i] :
( ~ ( r3 @ SV690 @ SY1179 )
| ( SY1178 @ SY1179 ) )
| ! [SY1180: $i] :
( ~ ( r1 @ SV690 @ SY1180 )
| ( SY1178 @ SY1180 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3171]) ).
thf(3191,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( r3 @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3192,plain,
! [SV691: $i] :
( ( ! [SY1181: $i > $o] :
( ~ ~ ! [SY1182: $i] :
( ~ ( r1 @ SV691 @ SY1182 )
| ( SY1181 @ SY1182 ) )
| ! [SY1183: $i] :
( ~ ( r1 @ SV691 @ SY1183 )
| ~ ! [SX3: $i] :
( ~ ( r1 @ SY1183 @ SX3 )
| ( SY1181 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3173]) ).
thf(3193,plain,
! [SV692: $i] :
( ( ! [SY1185: $i > $o] :
( ~ ! [SY1186: $i] :
( ~ ( r2 @ SV692 @ SY1186 )
| ( SY1185 @ SY1186 ) )
| ~ ! [SY1187: $i] :
( ~ ( r2 @ SV692 @ SY1187 )
| ~ ( SY1185 @ SY1187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3174]) ).
thf(3194,plain,
! [SV693: $i] :
( ( ! [SY1188: $i > $o] :
( ~ ! [SY1189: $i] :
( ~ ( r3 @ SV693 @ SY1189 )
| ( SY1188 @ SY1189 ) )
| ! [SY1190: $i] :
( ~ ( r2 @ SV693 @ SY1190 )
| ( SY1188 @ SY1190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3175]) ).
thf(3195,plain,
! [SV694: $i] :
( ( ! [SY1191: $i > $o] :
( ~ ~ ! [SY1192: $i] :
( ~ ( r2 @ SV694 @ SY1192 )
| ( SY1191 @ SY1192 ) )
| ! [SY1193: $i] :
( ~ ( r2 @ SV694 @ SY1193 )
| ~ ! [SX3: $i] :
( ~ ( r2 @ SY1193 @ SX3 )
| ( SY1191 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3176]) ).
thf(3196,plain,
! [SV695: $i] :
( ( ! [SY1195: $i > $o] :
( ~ ! [SY1196: $i] :
( ~ ( r2 @ SV695 @ SY1196 )
| ( SY1195 @ SY1196 ) )
| ! [SY1197: $i] :
( ~ ( r3 @ SV695 @ SY1197 )
| ! [SX3: $i] :
( ~ ( r2 @ SY1197 @ SX3 )
| ( SY1195 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3177]) ).
thf(3197,plain,
! [SV696: $i] :
( ( ! [SY1199: $i > $o] :
( ~ ! [SY1200: $i] :
( ~ ( r1 @ SV696 @ SY1200 )
| ( SY1199 @ SY1200 ) )
| ~ ! [SY1201: $i] :
( ~ ( r1 @ SV696 @ SY1201 )
| ~ ( SY1199 @ SY1201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3178]) ).
thf(3198,plain,
! [SV697: $i] :
( ( ! [SY1202: $i > $o] :
( ~ ! [SY1203: $i] :
( ~ ( r1 @ SV697 @ SY1203 )
| ( SY1202 @ SY1203 ) )
| ! [SY1204: $i] :
( ~ ( r3 @ SV697 @ SY1204 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1204 @ SX3 )
| ( SY1202 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3179]) ).
thf(3199,plain,
! [SV698: $i] :
( ( ! [SY1206: $i > $o] :
( ~ ! [SY1207: $i] :
( ~ ( r1 @ SV698 @ SY1207 )
| ( SY1206 @ SY1207 ) )
| ! [SY1208: $i] :
( ~ ( r2 @ SV698 @ SY1208 )
| ! [SX3: $i] :
( ~ ( r1 @ SY1208 @ SX3 )
| ( SY1206 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3180]) ).
thf(3200,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ~ ! [SY1210: $i] :
( ~ ( r1 @ SV681 @ SY1210 )
| ( SV699 @ SY1210 ) )
| ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3181]) ).
thf(3201,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ~ ! [SY1213: $i] :
( ~ ( r3 @ SV682 @ SY1213 )
| ( SV700 @ SY1213 ) )
| ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3182]) ).
thf(3202,plain,
! [SV701: $i > $o,SV683: $i] :
( ( ~ ~ ! [SY1216: $i] :
( ~ ( r3 @ SV683 @ SY1216 )
| ( SV701 @ SY1216 ) )
| ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3183]) ).
thf(3203,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ~ ! [SY1219: $i] :
( ~ ( r2 @ SV684 @ SY1219 )
| ( SV702 @ SY1219 ) )
| ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3184]) ).
thf(3204,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ~ ! [SY1222: $i] :
( ~ ( r3 @ SV685 @ SY1222 )
| ( SV703 @ SY1222 ) )
| ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3185]) ).
thf(3205,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ~ ! [SY1225: $i] :
( ~ ( r3 @ SV686 @ SY1225 )
| ( SV704 @ SY1225 ) )
| ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3186]) ).
thf(3206,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ~ ! [SY1227: $i] :
( ~ ( r3 @ SV687 @ SY1227 )
| ( SV705 @ SY1227 ) )
| ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3187]) ).
thf(3207,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ~ ! [SY1230: $i] :
( ~ ( r2 @ SV688 @ SY1230 )
| ( SV706 @ SY1230 ) )
| ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3188]) ).
thf(3208,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ~ ! [SY1233: $i] :
( ~ ( r2 @ SV689 @ SY1233 )
| ( SV707 @ SY1233 ) )
| ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3189]) ).
thf(3209,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ~ ! [SY1235: $i] :
( ~ ( r3 @ SV690 @ SY1235 )
| ( SV708 @ SY1235 ) )
| ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3190]) ).
thf(3210,plain,
( ( ! [SY1237: $i > $o] :
( ~ ~ ! [SY1238: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1238 )
| ( SY1237 @ SY1238 ) )
| ! [SY1239: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1239 )
| ~ ! [SX3: $i] :
( ~ ( r3 @ SY1239 @ SX3 )
| ( SY1237 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3191]) ).
thf(3211,plain,
! [SV709: $i > $o,SV691: $i] :
( ( ~ ~ ! [SY1241: $i] :
( ~ ( r1 @ SV691 @ SY1241 )
| ( SV709 @ SY1241 ) )
| ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3192]) ).
thf(3212,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ~ ! [SY1244: $i] :
( ~ ( r2 @ SV692 @ SY1244 )
| ( SV710 @ SY1244 ) )
| ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3213,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ~ ! [SY1246: $i] :
( ~ ( r3 @ SV693 @ SY1246 )
| ( SV711 @ SY1246 ) )
| ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3194]) ).
thf(3214,plain,
! [SV712: $i > $o,SV694: $i] :
( ( ~ ~ ! [SY1248: $i] :
( ~ ( r2 @ SV694 @ SY1248 )
| ( SV712 @ SY1248 ) )
| ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3195]) ).
thf(3215,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ~ ! [SY1251: $i] :
( ~ ( r2 @ SV695 @ SY1251 )
| ( SV713 @ SY1251 ) )
| ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3196]) ).
thf(3216,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ~ ! [SY1254: $i] :
( ~ ( r1 @ SV696 @ SY1254 )
| ( SV714 @ SY1254 ) )
| ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3197]) ).
thf(3217,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ~ ! [SY1256: $i] :
( ~ ( r1 @ SV697 @ SY1256 )
| ( SV715 @ SY1256 ) )
| ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3198]) ).
thf(3218,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ~ ! [SY1259: $i] :
( ~ ( r1 @ SV698 @ SY1259 )
| ( SV716 @ SY1259 ) )
| ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3199]) ).
thf(3219,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ( ~ ! [SY1210: $i] :
( ~ ( r1 @ SV681 @ SY1210 )
| ( SV699 @ SY1210 ) ) )
= $true )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3200]) ).
thf(3220,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ( ~ ! [SY1213: $i] :
( ~ ( r3 @ SV682 @ SY1213 )
| ( SV700 @ SY1213 ) ) )
= $true )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3201]) ).
thf(3221,plain,
! [SV701: $i > $o,SV683: $i] :
( ( ( ~ ~ ! [SY1216: $i] :
( ~ ( r3 @ SV683 @ SY1216 )
| ( SV701 @ SY1216 ) ) )
= $true )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3202]) ).
thf(3222,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ( ~ ! [SY1219: $i] :
( ~ ( r2 @ SV684 @ SY1219 )
| ( SV702 @ SY1219 ) ) )
= $true )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3203]) ).
thf(3223,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ( ~ ! [SY1222: $i] :
( ~ ( r3 @ SV685 @ SY1222 )
| ( SV703 @ SY1222 ) ) )
= $true )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3204]) ).
thf(3224,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ! [SY1225: $i] :
( ~ ( r3 @ SV686 @ SY1225 )
| ( SV704 @ SY1225 ) ) )
= $true )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3205]) ).
thf(3225,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ( ~ ! [SY1227: $i] :
( ~ ( r3 @ SV687 @ SY1227 )
| ( SV705 @ SY1227 ) ) )
= $true )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3206]) ).
thf(3226,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ( ~ ! [SY1230: $i] :
( ~ ( r2 @ SV688 @ SY1230 )
| ( SV706 @ SY1230 ) ) )
= $true )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3207]) ).
thf(3227,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ( ~ ! [SY1233: $i] :
( ~ ( r2 @ SV689 @ SY1233 )
| ( SV707 @ SY1233 ) ) )
= $true )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3208]) ).
thf(3228,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ( ~ ! [SY1235: $i] :
( ~ ( r3 @ SV690 @ SY1235 )
| ( SV708 @ SY1235 ) ) )
= $true )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3209]) ).
thf(3229,plain,
( ( ~ ~ ! [SY1262: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1262 )
| ( sK226_SY1237 @ SY1262 ) )
| ! [SY1263: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1263 )
| ~ ! [SY1264: $i] :
( ~ ( r3 @ SY1263 @ SY1264 )
| ( sK226_SY1237 @ SY1264 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3210]) ).
thf(3230,plain,
! [SV709: $i > $o,SV691: $i] :
( ( ( ~ ~ ! [SY1241: $i] :
( ~ ( r1 @ SV691 @ SY1241 )
| ( SV709 @ SY1241 ) ) )
= $true )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3211]) ).
thf(3231,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ! [SY1244: $i] :
( ~ ( r2 @ SV692 @ SY1244 )
| ( SV710 @ SY1244 ) ) )
= $true )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3212]) ).
thf(3232,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ( ~ ! [SY1246: $i] :
( ~ ( r3 @ SV693 @ SY1246 )
| ( SV711 @ SY1246 ) ) )
= $true )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3213]) ).
thf(3233,plain,
! [SV712: $i > $o,SV694: $i] :
( ( ( ~ ~ ! [SY1248: $i] :
( ~ ( r2 @ SV694 @ SY1248 )
| ( SV712 @ SY1248 ) ) )
= $true )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3214]) ).
thf(3234,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ( ~ ! [SY1251: $i] :
( ~ ( r2 @ SV695 @ SY1251 )
| ( SV713 @ SY1251 ) ) )
= $true )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3215]) ).
thf(3235,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ! [SY1254: $i] :
( ~ ( r1 @ SV696 @ SY1254 )
| ( SV714 @ SY1254 ) ) )
= $true )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3216]) ).
thf(3236,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ( ~ ! [SY1256: $i] :
( ~ ( r1 @ SV697 @ SY1256 )
| ( SV715 @ SY1256 ) ) )
= $true )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3217]) ).
thf(3237,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ( ~ ! [SY1259: $i] :
( ~ ( r1 @ SV698 @ SY1259 )
| ( SV716 @ SY1259 ) ) )
= $true )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3218]) ).
thf(3238,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ( ! [SY1210: $i] :
( ~ ( r1 @ SV681 @ SY1210 )
| ( SV699 @ SY1210 ) ) )
= $false )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3239,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ( ! [SY1213: $i] :
( ~ ( r3 @ SV682 @ SY1213 )
| ( SV700 @ SY1213 ) ) )
= $false )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3220]) ).
thf(3240,plain,
! [SV701: $i > $o,SV683: $i] :
( ( ( ~ ! [SY1216: $i] :
( ~ ( r3 @ SV683 @ SY1216 )
| ( SV701 @ SY1216 ) ) )
= $false )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3241,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ( ! [SY1219: $i] :
( ~ ( r2 @ SV684 @ SY1219 )
| ( SV702 @ SY1219 ) ) )
= $false )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3222]) ).
thf(3242,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ( ! [SY1222: $i] :
( ~ ( r3 @ SV685 @ SY1222 )
| ( SV703 @ SY1222 ) ) )
= $false )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3223]) ).
thf(3243,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ! [SY1225: $i] :
( ~ ( r3 @ SV686 @ SY1225 )
| ( SV704 @ SY1225 ) ) )
= $false )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3224]) ).
thf(3244,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ( ! [SY1227: $i] :
( ~ ( r3 @ SV687 @ SY1227 )
| ( SV705 @ SY1227 ) ) )
= $false )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3245,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ( ! [SY1230: $i] :
( ~ ( r2 @ SV688 @ SY1230 )
| ( SV706 @ SY1230 ) ) )
= $false )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3246,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ( ! [SY1233: $i] :
( ~ ( r2 @ SV689 @ SY1233 )
| ( SV707 @ SY1233 ) ) )
= $false )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3247,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ( ! [SY1235: $i] :
( ~ ( r3 @ SV690 @ SY1235 )
| ( SV708 @ SY1235 ) ) )
= $false )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3248,plain,
( ( ~ ~ ! [SY1262: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1262 )
| ( sK226_SY1237 @ SY1262 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3249,plain,
( ( ! [SY1263: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1263 )
| ~ ! [SY1264: $i] :
( ~ ( r3 @ SY1263 @ SY1264 )
| ( sK226_SY1237 @ SY1264 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3229]) ).
thf(3250,plain,
! [SV709: $i > $o,SV691: $i] :
( ( ( ~ ! [SY1241: $i] :
( ~ ( r1 @ SV691 @ SY1241 )
| ( SV709 @ SY1241 ) ) )
= $false )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3230]) ).
thf(3251,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ! [SY1244: $i] :
( ~ ( r2 @ SV692 @ SY1244 )
| ( SV710 @ SY1244 ) ) )
= $false )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3252,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ( ! [SY1246: $i] :
( ~ ( r3 @ SV693 @ SY1246 )
| ( SV711 @ SY1246 ) ) )
= $false )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3232]) ).
thf(3253,plain,
! [SV712: $i > $o,SV694: $i] :
( ( ( ~ ! [SY1248: $i] :
( ~ ( r2 @ SV694 @ SY1248 )
| ( SV712 @ SY1248 ) ) )
= $false )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3254,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ( ! [SY1251: $i] :
( ~ ( r2 @ SV695 @ SY1251 )
| ( SV713 @ SY1251 ) ) )
= $false )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3255,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ! [SY1254: $i] :
( ~ ( r1 @ SV696 @ SY1254 )
| ( SV714 @ SY1254 ) ) )
= $false )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3256,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ( ! [SY1256: $i] :
( ~ ( r1 @ SV697 @ SY1256 )
| ( SV715 @ SY1256 ) ) )
= $false )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3236]) ).
thf(3257,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ( ! [SY1259: $i] :
( ~ ( r1 @ SV698 @ SY1259 )
| ( SV716 @ SY1259 ) ) )
= $false )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3237]) ).
thf(3258,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
| ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) ) )
= $false )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3238]) ).
thf(3259,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ( ~ ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
| ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) ) )
= $false )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3239]) ).
thf(3260,plain,
! [SV701: $i > $o,SV683: $i] :
( ( ( ! [SY1216: $i] :
( ~ ( r3 @ SV683 @ SY1216 )
| ( SV701 @ SY1216 ) ) )
= $true )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3240]) ).
thf(3261,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
| ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) ) )
= $false )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3241]) ).
thf(3262,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
| ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) ) )
= $false )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3242]) ).
thf(3263,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
| ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) ) )
= $false )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3243]) ).
thf(3264,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ( ~ ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
| ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) ) )
= $false )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3244]) ).
thf(3265,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ( ~ ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
| ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) ) )
= $false )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3245]) ).
thf(3266,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ( ~ ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
| ( SV707 @ ( sK234_SY1233 @ SV707 @ SV689 ) ) )
= $false )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3246]) ).
thf(3267,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ( ~ ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
| ( SV708 @ ( sK235_SY1235 @ SV708 @ SV690 ) ) )
= $false )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3247]) ).
thf(3268,plain,
( ( ~ ! [SY1262: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1262 )
| ( sK226_SY1237 @ SY1262 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3248]) ).
thf(3269,plain,
( ( ~ ( r3 @ sK225_SX0 @ sK236_SY1263 )
| ~ ! [SY1265: $i] :
( ~ ( r3 @ sK236_SY1263 @ SY1265 )
| ( sK226_SY1237 @ SY1265 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3249]) ).
thf(3270,plain,
! [SV709: $i > $o,SV691: $i] :
( ( ( ! [SY1241: $i] :
( ~ ( r1 @ SV691 @ SY1241 )
| ( SV709 @ SY1241 ) ) )
= $true )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3250]) ).
thf(3271,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
| ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) ) )
= $false )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3251]) ).
thf(3272,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ( ~ ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
| ( SV711 @ ( sK238_SY1246 @ SV711 @ SV693 ) ) )
= $false )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3252]) ).
thf(3273,plain,
! [SV712: $i > $o,SV694: $i] :
( ( ( ! [SY1248: $i] :
( ~ ( r2 @ SV694 @ SY1248 )
| ( SV712 @ SY1248 ) ) )
= $true )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3253]) ).
thf(3274,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ( ~ ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
| ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) ) )
= $false )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3254]) ).
thf(3275,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
| ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) ) )
= $false )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3255]) ).
thf(3276,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ( ~ ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
| ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) ) )
= $false )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3256]) ).
thf(3277,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ( ~ ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
| ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) ) )
= $false )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3257]) ).
thf(3278,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) ) )
= $false )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3258]) ).
thf(3279,plain,
! [SV681: $i,SV699: $i > $o] :
( ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3258]) ).
thf(3280,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ( ~ ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) ) )
= $false )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3281,plain,
! [SV682: $i,SV700: $i > $o] :
( ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3259]) ).
thf(3282,plain,
! [SV701: $i > $o,SV717: $i,SV683: $i] :
( ( ( ~ ( r3 @ SV683 @ SV717 )
| ( SV701 @ SV717 ) )
= $true )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3260]) ).
thf(3283,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) ) )
= $false )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3261]) ).
thf(3284,plain,
! [SV684: $i,SV702: $i > $o] :
( ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3261]) ).
thf(3285,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) ) )
= $false )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3286,plain,
! [SV685: $i,SV703: $i > $o] :
( ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3287,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) ) )
= $false )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3288,plain,
! [SV686: $i,SV704: $i > $o] :
( ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3263]) ).
thf(3289,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ( ~ ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) ) )
= $false )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3290,plain,
! [SV687: $i,SV705: $i > $o] :
( ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3291,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ( ~ ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) ) )
= $false )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3265]) ).
thf(3292,plain,
! [SV688: $i,SV706: $i > $o] :
( ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3265]) ).
thf(3293,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ( ~ ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) ) )
= $false )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3294,plain,
! [SV689: $i,SV707: $i > $o] :
( ( ( SV707 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $false )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3266]) ).
thf(3295,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ( ~ ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) ) )
= $false )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3267]) ).
thf(3296,plain,
! [SV690: $i,SV708: $i > $o] :
( ( ( SV708 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $false )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3267]) ).
thf(3297,plain,
( ( ! [SY1262: $i] :
( ~ ( r3 @ sK225_SX0 @ SY1262 )
| ( sK226_SY1237 @ SY1262 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3268]) ).
thf(3298,plain,
( ( ~ ( r3 @ sK225_SX0 @ sK236_SY1263 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3269]) ).
thf(3299,plain,
( ( ~ ! [SY1265: $i] :
( ~ ( r3 @ sK236_SY1263 @ SY1265 )
| ( sK226_SY1237 @ SY1265 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3269]) ).
thf(3300,plain,
! [SV709: $i > $o,SV718: $i,SV691: $i] :
( ( ( ~ ( r1 @ SV691 @ SV718 )
| ( SV709 @ SV718 ) )
= $true )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3270]) ).
thf(3301,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) ) )
= $false )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3271]) ).
thf(3302,plain,
! [SV692: $i,SV710: $i > $o] :
( ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3271]) ).
thf(3303,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ( ~ ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) ) )
= $false )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3272]) ).
thf(3304,plain,
! [SV693: $i,SV711: $i > $o] :
( ( ( SV711 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $false )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3272]) ).
thf(3305,plain,
! [SV712: $i > $o,SV719: $i,SV694: $i] :
( ( ( ~ ( r2 @ SV694 @ SV719 )
| ( SV712 @ SV719 ) )
= $true )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3273]) ).
thf(3306,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ( ~ ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) ) )
= $false )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3307,plain,
! [SV695: $i,SV713: $i > $o] :
( ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3308,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) ) )
= $false )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3275]) ).
thf(3309,plain,
! [SV696: $i,SV714: $i > $o] :
( ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3275]) ).
thf(3310,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ( ~ ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) ) )
= $false )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3276]) ).
thf(3311,plain,
! [SV697: $i,SV715: $i > $o] :
( ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3276]) ).
thf(3312,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ( ~ ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) ) )
= $false )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3277]) ).
thf(3313,plain,
! [SV698: $i,SV716: $i > $o] :
( ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3277]) ).
thf(3314,plain,
! [SV699: $i > $o,SV681: $i] :
( ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true )
| ( ( ! [SY1211: $i] :
( ~ ( r1 @ SV681 @ SY1211 )
| ! [SY1212: $i] :
( ~ ( r1 @ SY1211 @ SY1212 )
| ( SV699 @ SY1212 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3278]) ).
thf(3315,plain,
! [SV699: $i > $o,SV720: $i,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ SV720 )
| ! [SY1266: $i] :
( ~ ( r1 @ SV720 @ SY1266 )
| ( SV699 @ SY1266 ) ) )
= $true )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3279]) ).
thf(3316,plain,
! [SV700: $i > $o,SV682: $i] :
( ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true )
| ( ( ! [SY1214: $i] :
( ~ ( r1 @ SV682 @ SY1214 )
| ! [SY1215: $i] :
( ~ ( r3 @ SY1214 @ SY1215 )
| ( SV700 @ SY1215 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3280]) ).
thf(3317,plain,
! [SV700: $i > $o,SV721: $i,SV682: $i] :
( ( ( ~ ( r1 @ SV682 @ SV721 )
| ! [SY1267: $i] :
( ~ ( r3 @ SV721 @ SY1267 )
| ( SV700 @ SY1267 ) ) )
= $true )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3281]) ).
thf(3318,plain,
! [SV701: $i > $o,SV717: $i,SV683: $i] :
( ( ( ~ ( r3 @ SV683 @ SV717 ) )
= $true )
| ( ( SV701 @ SV717 )
= $true )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3282]) ).
thf(3319,plain,
! [SV702: $i > $o,SV684: $i] :
( ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true )
| ( ( ! [SY1220: $i] :
( ~ ( r2 @ SV684 @ SY1220 )
| ! [SY1221: $i] :
( ~ ( r2 @ SY1220 @ SY1221 )
| ( SV702 @ SY1221 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3283]) ).
thf(3320,plain,
! [SV702: $i > $o,SV722: $i,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ SV722 )
| ! [SY1268: $i] :
( ~ ( r2 @ SV722 @ SY1268 )
| ( SV702 @ SY1268 ) ) )
= $true )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3284]) ).
thf(3321,plain,
! [SV703: $i > $o,SV685: $i] :
( ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true )
| ( ( ! [SY1223: $i] :
( ~ ( r3 @ SV685 @ SY1223 )
| ! [SY1224: $i] :
( ~ ( r3 @ SY1223 @ SY1224 )
| ( SV703 @ SY1224 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3285]) ).
thf(3322,plain,
! [SV703: $i > $o,SV723: $i,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ SV723 )
| ! [SY1269: $i] :
( ~ ( r3 @ SV723 @ SY1269 )
| ( SV703 @ SY1269 ) ) )
= $true )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3286]) ).
thf(3323,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true )
| ( ( ~ ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3324,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $false )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3325,plain,
! [SV705: $i > $o,SV687: $i] :
( ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true )
| ( ( ! [SY1228: $i] :
( ~ ( r2 @ SV687 @ SY1228 )
| ! [SY1229: $i] :
( ~ ( r3 @ SY1228 @ SY1229 )
| ( SV705 @ SY1229 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3289]) ).
thf(3326,plain,
! [SV705: $i > $o,SV724: $i,SV687: $i] :
( ( ( ~ ( r2 @ SV687 @ SV724 )
| ! [SY1270: $i] :
( ~ ( r3 @ SV724 @ SY1270 )
| ( SV705 @ SY1270 ) ) )
= $true )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3290]) ).
thf(3327,plain,
! [SV706: $i > $o,SV688: $i] :
( ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true )
| ( ( ! [SY1231: $i] :
( ~ ( r1 @ SV688 @ SY1231 )
| ! [SY1232: $i] :
( ~ ( r2 @ SY1231 @ SY1232 )
| ( SV706 @ SY1232 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3291]) ).
thf(3328,plain,
! [SV706: $i > $o,SV725: $i,SV688: $i] :
( ( ( ~ ( r1 @ SV688 @ SV725 )
| ! [SY1271: $i] :
( ~ ( r2 @ SV725 @ SY1271 )
| ( SV706 @ SY1271 ) ) )
= $true )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3292]) ).
thf(3329,plain,
! [SV707: $i > $o,SV689: $i] :
( ( ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $true )
| ( ( ! [SY1234: $i] :
( ~ ( r1 @ SV689 @ SY1234 )
| ( SV707 @ SY1234 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3293]) ).
thf(3330,plain,
! [SV707: $i > $o,SV726: $i,SV689: $i] :
( ( ( ~ ( r1 @ SV689 @ SV726 )
| ( SV707 @ SV726 ) )
= $true )
| ( ( SV707 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3294]) ).
thf(3331,plain,
! [SV708: $i > $o,SV690: $i] :
( ( ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $true )
| ( ( ! [SY1236: $i] :
( ~ ( r1 @ SV690 @ SY1236 )
| ( SV708 @ SY1236 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3295]) ).
thf(3332,plain,
! [SV708: $i > $o,SV727: $i,SV690: $i] :
( ( ( ~ ( r1 @ SV690 @ SV727 )
| ( SV708 @ SV727 ) )
= $true )
| ( ( SV708 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3296]) ).
thf(3333,plain,
( ( ~ ( r3 @ sK225_SX0 @ sK243_SY1262 )
| ( sK226_SY1237 @ sK243_SY1262 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3297]) ).
thf(3334,plain,
( ( r3 @ sK225_SX0 @ sK236_SY1263 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3298]) ).
thf(3335,plain,
( ( ! [SY1265: $i] :
( ~ ( r3 @ sK236_SY1263 @ SY1265 )
| ( sK226_SY1237 @ SY1265 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3299]) ).
thf(3336,plain,
! [SV709: $i > $o,SV718: $i,SV691: $i] :
( ( ( ~ ( r1 @ SV691 @ SV718 ) )
= $true )
| ( ( SV709 @ SV718 )
= $true )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3300]) ).
thf(3337,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true )
| ( ( ~ ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3338,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $false )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3302]) ).
thf(3339,plain,
! [SV711: $i > $o,SV693: $i] :
( ( ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $true )
| ( ( ! [SY1247: $i] :
( ~ ( r2 @ SV693 @ SY1247 )
| ( SV711 @ SY1247 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3303]) ).
thf(3340,plain,
! [SV711: $i > $o,SV728: $i,SV693: $i] :
( ( ( ~ ( r2 @ SV693 @ SV728 )
| ( SV711 @ SV728 ) )
= $true )
| ( ( SV711 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3304]) ).
thf(3341,plain,
! [SV712: $i > $o,SV719: $i,SV694: $i] :
( ( ( ~ ( r2 @ SV694 @ SV719 ) )
= $true )
| ( ( SV712 @ SV719 )
= $true )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3305]) ).
thf(3342,plain,
! [SV713: $i > $o,SV695: $i] :
( ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true )
| ( ( ! [SY1252: $i] :
( ~ ( r3 @ SV695 @ SY1252 )
| ! [SY1253: $i] :
( ~ ( r2 @ SY1252 @ SY1253 )
| ( SV713 @ SY1253 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3306]) ).
thf(3343,plain,
! [SV713: $i > $o,SV729: $i,SV695: $i] :
( ( ( ~ ( r3 @ SV695 @ SV729 )
| ! [SY1272: $i] :
( ~ ( r2 @ SV729 @ SY1272 )
| ( SV713 @ SY1272 ) ) )
= $true )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3307]) ).
thf(3344,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true )
| ( ( ~ ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3308]) ).
thf(3345,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $false )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3309]) ).
thf(3346,plain,
! [SV715: $i > $o,SV697: $i] :
( ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true )
| ( ( ! [SY1257: $i] :
( ~ ( r3 @ SV697 @ SY1257 )
| ! [SY1258: $i] :
( ~ ( r1 @ SY1257 @ SY1258 )
| ( SV715 @ SY1258 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3310]) ).
thf(3347,plain,
! [SV715: $i > $o,SV730: $i,SV697: $i] :
( ( ( ~ ( r3 @ SV697 @ SV730 )
| ! [SY1273: $i] :
( ~ ( r1 @ SV730 @ SY1273 )
| ( SV715 @ SY1273 ) ) )
= $true )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3311]) ).
thf(3348,plain,
! [SV716: $i > $o,SV698: $i] :
( ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true )
| ( ( ! [SY1260: $i] :
( ~ ( r2 @ SV698 @ SY1260 )
| ! [SY1261: $i] :
( ~ ( r1 @ SY1260 @ SY1261 )
| ( SV716 @ SY1261 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3349,plain,
! [SV716: $i > $o,SV731: $i,SV698: $i] :
( ( ( ~ ( r2 @ SV698 @ SV731 )
| ! [SY1274: $i] :
( ~ ( r1 @ SV731 @ SY1274 )
| ( SV716 @ SY1274 ) ) )
= $true )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3313]) ).
thf(3350,plain,
! [SV699: $i > $o,SV732: $i,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ SV732 )
| ! [SY1275: $i] :
( ~ ( r1 @ SV732 @ SY1275 )
| ( SV699 @ SY1275 ) ) )
= $true )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3314]) ).
thf(3351,plain,
! [SV699: $i > $o,SV720: $i,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ SV720 ) )
= $true )
| ( ( ! [SY1266: $i] :
( ~ ( r1 @ SV720 @ SY1266 )
| ( SV699 @ SY1266 ) ) )
= $true )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3315]) ).
thf(3352,plain,
! [SV700: $i > $o,SV733: $i,SV682: $i] :
( ( ( ~ ( r1 @ SV682 @ SV733 )
| ! [SY1276: $i] :
( ~ ( r3 @ SV733 @ SY1276 )
| ( SV700 @ SY1276 ) ) )
= $true )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3316]) ).
thf(3353,plain,
! [SV700: $i > $o,SV721: $i,SV682: $i] :
( ( ( ~ ( r1 @ SV682 @ SV721 ) )
= $true )
| ( ( ! [SY1267: $i] :
( ~ ( r3 @ SV721 @ SY1267 )
| ( SV700 @ SY1267 ) ) )
= $true )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3317]) ).
thf(3354,plain,
! [SV701: $i > $o,SV717: $i,SV683: $i] :
( ( ( r3 @ SV683 @ SV717 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( ! [SY1217: $i] :
( ~ ( r3 @ SV683 @ SY1217 )
| ~ ! [SY1218: $i] :
( ~ ( r3 @ SY1217 @ SY1218 )
| ( SV701 @ SY1218 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3355,plain,
! [SV702: $i > $o,SV734: $i,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ SV734 )
| ! [SY1277: $i] :
( ~ ( r2 @ SV734 @ SY1277 )
| ( SV702 @ SY1277 ) ) )
= $true )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3319]) ).
thf(3356,plain,
! [SV702: $i > $o,SV722: $i,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ SV722 ) )
= $true )
| ( ( ! [SY1268: $i] :
( ~ ( r2 @ SV722 @ SY1268 )
| ( SV702 @ SY1268 ) ) )
= $true )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3320]) ).
thf(3357,plain,
! [SV703: $i > $o,SV735: $i,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ SV735 )
| ! [SY1278: $i] :
( ~ ( r3 @ SV735 @ SY1278 )
| ( SV703 @ SY1278 ) ) )
= $true )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3358,plain,
! [SV703: $i > $o,SV723: $i,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ SV723 ) )
= $true )
| ( ( ! [SY1269: $i] :
( ~ ( r3 @ SV723 @ SY1269 )
| ( SV703 @ SY1269 ) ) )
= $true )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3359,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ! [SY1226: $i] :
( ~ ( r3 @ SV686 @ SY1226 )
| ~ ( SV704 @ SY1226 ) ) )
= $false )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3360,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK244_SY1226 @ SV704 @ SV686 ) )
| ~ ( SV704 @ ( sK244_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3324]) ).
thf(3361,plain,
! [SV705: $i > $o,SV736: $i,SV687: $i] :
( ( ( ~ ( r2 @ SV687 @ SV736 )
| ! [SY1279: $i] :
( ~ ( r3 @ SV736 @ SY1279 )
| ( SV705 @ SY1279 ) ) )
= $true )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3325]) ).
thf(3362,plain,
! [SV705: $i > $o,SV724: $i,SV687: $i] :
( ( ( ~ ( r2 @ SV687 @ SV724 ) )
= $true )
| ( ( ! [SY1270: $i] :
( ~ ( r3 @ SV724 @ SY1270 )
| ( SV705 @ SY1270 ) ) )
= $true )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3326]) ).
thf(3363,plain,
! [SV706: $i > $o,SV737: $i,SV688: $i] :
( ( ( ~ ( r1 @ SV688 @ SV737 )
| ! [SY1280: $i] :
( ~ ( r2 @ SV737 @ SY1280 )
| ( SV706 @ SY1280 ) ) )
= $true )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3327]) ).
thf(3364,plain,
! [SV706: $i > $o,SV725: $i,SV688: $i] :
( ( ( ~ ( r1 @ SV688 @ SV725 ) )
= $true )
| ( ( ! [SY1271: $i] :
( ~ ( r2 @ SV725 @ SY1271 )
| ( SV706 @ SY1271 ) ) )
= $true )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3365,plain,
! [SV707: $i > $o,SV738: $i,SV689: $i] :
( ( ( ~ ( r1 @ SV689 @ SV738 )
| ( SV707 @ SV738 ) )
= $true )
| ( ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3329]) ).
thf(3366,plain,
! [SV707: $i > $o,SV726: $i,SV689: $i] :
( ( ( ~ ( r1 @ SV689 @ SV726 ) )
= $true )
| ( ( SV707 @ SV726 )
= $true )
| ( ( SV707 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3330]) ).
thf(3367,plain,
! [SV708: $i > $o,SV739: $i,SV690: $i] :
( ( ( ~ ( r1 @ SV690 @ SV739 )
| ( SV708 @ SV739 ) )
= $true )
| ( ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3331]) ).
thf(3368,plain,
! [SV708: $i > $o,SV727: $i,SV690: $i] :
( ( ( ~ ( r1 @ SV690 @ SV727 ) )
= $true )
| ( ( SV708 @ SV727 )
= $true )
| ( ( SV708 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3332]) ).
thf(3369,plain,
( ( ~ ( r3 @ sK225_SX0 @ sK243_SY1262 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3333]) ).
thf(3370,plain,
( ( sK226_SY1237 @ sK243_SY1262 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3333]) ).
thf(3371,plain,
! [SV740: $i] :
( ( ~ ( r3 @ sK236_SY1263 @ SV740 )
| ( sK226_SY1237 @ SV740 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3335]) ).
thf(3372,plain,
! [SV709: $i > $o,SV718: $i,SV691: $i] :
( ( ( r1 @ SV691 @ SV718 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( ! [SY1242: $i] :
( ~ ( r1 @ SV691 @ SY1242 )
| ~ ! [SY1243: $i] :
( ~ ( r1 @ SY1242 @ SY1243 )
| ( SV709 @ SY1243 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3336]) ).
thf(3373,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ! [SY1245: $i] :
( ~ ( r2 @ SV692 @ SY1245 )
| ~ ( SV710 @ SY1245 ) ) )
= $false )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3337]) ).
thf(3374,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK245_SY1245 @ SV710 @ SV692 ) )
| ~ ( SV710 @ ( sK245_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3338]) ).
thf(3375,plain,
! [SV711: $i > $o,SV741: $i,SV693: $i] :
( ( ( ~ ( r2 @ SV693 @ SV741 )
| ( SV711 @ SV741 ) )
= $true )
| ( ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3339]) ).
thf(3376,plain,
! [SV711: $i > $o,SV728: $i,SV693: $i] :
( ( ( ~ ( r2 @ SV693 @ SV728 ) )
= $true )
| ( ( SV711 @ SV728 )
= $true )
| ( ( SV711 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3377,plain,
! [SV712: $i > $o,SV719: $i,SV694: $i] :
( ( ( r2 @ SV694 @ SV719 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( ! [SY1249: $i] :
( ~ ( r2 @ SV694 @ SY1249 )
| ~ ! [SY1250: $i] :
( ~ ( r2 @ SY1249 @ SY1250 )
| ( SV712 @ SY1250 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3378,plain,
! [SV713: $i > $o,SV742: $i,SV695: $i] :
( ( ( ~ ( r3 @ SV695 @ SV742 )
| ! [SY1281: $i] :
( ~ ( r2 @ SV742 @ SY1281 )
| ( SV713 @ SY1281 ) ) )
= $true )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3342]) ).
thf(3379,plain,
! [SV713: $i > $o,SV729: $i,SV695: $i] :
( ( ( ~ ( r3 @ SV695 @ SV729 ) )
= $true )
| ( ( ! [SY1272: $i] :
( ~ ( r2 @ SV729 @ SY1272 )
| ( SV713 @ SY1272 ) ) )
= $true )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3343]) ).
thf(3380,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ! [SY1255: $i] :
( ~ ( r1 @ SV696 @ SY1255 )
| ~ ( SV714 @ SY1255 ) ) )
= $false )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3344]) ).
thf(3381,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK246_SY1255 @ SV714 @ SV696 ) )
| ~ ( SV714 @ ( sK246_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3345]) ).
thf(3382,plain,
! [SV715: $i > $o,SV743: $i,SV697: $i] :
( ( ( ~ ( r3 @ SV697 @ SV743 )
| ! [SY1282: $i] :
( ~ ( r1 @ SV743 @ SY1282 )
| ( SV715 @ SY1282 ) ) )
= $true )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3346]) ).
thf(3383,plain,
! [SV715: $i > $o,SV730: $i,SV697: $i] :
( ( ( ~ ( r3 @ SV697 @ SV730 ) )
= $true )
| ( ( ! [SY1273: $i] :
( ~ ( r1 @ SV730 @ SY1273 )
| ( SV715 @ SY1273 ) ) )
= $true )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3384,plain,
! [SV716: $i > $o,SV744: $i,SV698: $i] :
( ( ( ~ ( r2 @ SV698 @ SV744 )
| ! [SY1283: $i] :
( ~ ( r1 @ SV744 @ SY1283 )
| ( SV716 @ SY1283 ) ) )
= $true )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3348]) ).
thf(3385,plain,
! [SV716: $i > $o,SV731: $i,SV698: $i] :
( ( ( ~ ( r2 @ SV698 @ SV731 ) )
= $true )
| ( ( ! [SY1274: $i] :
( ~ ( r1 @ SV731 @ SY1274 )
| ( SV716 @ SY1274 ) ) )
= $true )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3349]) ).
thf(3386,plain,
! [SV699: $i > $o,SV732: $i,SV681: $i] :
( ( ( ~ ( r1 @ SV681 @ SV732 ) )
= $true )
| ( ( ! [SY1275: $i] :
( ~ ( r1 @ SV732 @ SY1275 )
| ( SV699 @ SY1275 ) ) )
= $true )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3350]) ).
thf(3387,plain,
! [SV699: $i > $o,SV720: $i,SV681: $i] :
( ( ( r1 @ SV681 @ SV720 )
= $false )
| ( ( ! [SY1266: $i] :
( ~ ( r1 @ SV720 @ SY1266 )
| ( SV699 @ SY1266 ) ) )
= $true )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3351]) ).
thf(3388,plain,
! [SV700: $i > $o,SV733: $i,SV682: $i] :
( ( ( ~ ( r1 @ SV682 @ SV733 ) )
= $true )
| ( ( ! [SY1276: $i] :
( ~ ( r3 @ SV733 @ SY1276 )
| ( SV700 @ SY1276 ) ) )
= $true )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3352]) ).
thf(3389,plain,
! [SV700: $i > $o,SV721: $i,SV682: $i] :
( ( ( r1 @ SV682 @ SV721 )
= $false )
| ( ( ! [SY1267: $i] :
( ~ ( r3 @ SV721 @ SY1267 )
| ( SV700 @ SY1267 ) ) )
= $true )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3390,plain,
! [SV717: $i,SV701: $i > $o,SV745: $i,SV683: $i] :
( ( ( ~ ( r3 @ SV683 @ SV745 )
| ~ ! [SY1284: $i] :
( ~ ( r3 @ SV745 @ SY1284 )
| ( SV701 @ SY1284 ) ) )
= $true )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3354]) ).
thf(3391,plain,
! [SV702: $i > $o,SV734: $i,SV684: $i] :
( ( ( ~ ( r2 @ SV684 @ SV734 ) )
= $true )
| ( ( ! [SY1277: $i] :
( ~ ( r2 @ SV734 @ SY1277 )
| ( SV702 @ SY1277 ) ) )
= $true )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3355]) ).
thf(3392,plain,
! [SV702: $i > $o,SV722: $i,SV684: $i] :
( ( ( r2 @ SV684 @ SV722 )
= $false )
| ( ( ! [SY1268: $i] :
( ~ ( r2 @ SV722 @ SY1268 )
| ( SV702 @ SY1268 ) ) )
= $true )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3393,plain,
! [SV703: $i > $o,SV735: $i,SV685: $i] :
( ( ( ~ ( r3 @ SV685 @ SV735 ) )
= $true )
| ( ( ! [SY1278: $i] :
( ~ ( r3 @ SV735 @ SY1278 )
| ( SV703 @ SY1278 ) ) )
= $true )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3357]) ).
thf(3394,plain,
! [SV703: $i > $o,SV723: $i,SV685: $i] :
( ( ( r3 @ SV685 @ SV723 )
= $false )
| ( ( ! [SY1269: $i] :
( ~ ( r3 @ SV723 @ SY1269 )
| ( SV703 @ SY1269 ) ) )
= $true )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3395,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK247_SY1226 @ SV704 @ SV686 ) )
| ~ ( SV704 @ ( sK247_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3359]) ).
thf(3396,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK244_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3397,plain,
! [SV686: $i,SV704: $i > $o] :
( ( ( ~ ( SV704 @ ( sK244_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3360]) ).
thf(3398,plain,
! [SV705: $i > $o,SV736: $i,SV687: $i] :
( ( ( ~ ( r2 @ SV687 @ SV736 ) )
= $true )
| ( ( ! [SY1279: $i] :
( ~ ( r3 @ SV736 @ SY1279 )
| ( SV705 @ SY1279 ) ) )
= $true )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3361]) ).
thf(3399,plain,
! [SV705: $i > $o,SV724: $i,SV687: $i] :
( ( ( r2 @ SV687 @ SV724 )
= $false )
| ( ( ! [SY1270: $i] :
( ~ ( r3 @ SV724 @ SY1270 )
| ( SV705 @ SY1270 ) ) )
= $true )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3362]) ).
thf(3400,plain,
! [SV706: $i > $o,SV737: $i,SV688: $i] :
( ( ( ~ ( r1 @ SV688 @ SV737 ) )
= $true )
| ( ( ! [SY1280: $i] :
( ~ ( r2 @ SV737 @ SY1280 )
| ( SV706 @ SY1280 ) ) )
= $true )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3363]) ).
thf(3401,plain,
! [SV706: $i > $o,SV725: $i,SV688: $i] :
( ( ( r1 @ SV688 @ SV725 )
= $false )
| ( ( ! [SY1271: $i] :
( ~ ( r2 @ SV725 @ SY1271 )
| ( SV706 @ SY1271 ) ) )
= $true )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3402,plain,
! [SV707: $i > $o,SV738: $i,SV689: $i] :
( ( ( ~ ( r1 @ SV689 @ SV738 ) )
= $true )
| ( ( SV707 @ SV738 )
= $true )
| ( ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3365]) ).
thf(3403,plain,
! [SV707: $i > $o,SV726: $i,SV689: $i] :
( ( ( r1 @ SV689 @ SV726 )
= $false )
| ( ( SV707 @ SV726 )
= $true )
| ( ( SV707 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3404,plain,
! [SV708: $i > $o,SV739: $i,SV690: $i] :
( ( ( ~ ( r1 @ SV690 @ SV739 ) )
= $true )
| ( ( SV708 @ SV739 )
= $true )
| ( ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3405,plain,
! [SV708: $i > $o,SV727: $i,SV690: $i] :
( ( ( r1 @ SV690 @ SV727 )
= $false )
| ( ( SV708 @ SV727 )
= $true )
| ( ( SV708 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3406,plain,
( ( r3 @ sK225_SX0 @ sK243_SY1262 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3369]) ).
thf(3407,plain,
! [SV740: $i] :
( ( ( ~ ( r3 @ sK236_SY1263 @ SV740 ) )
= $true )
| ( ( sK226_SY1237 @ SV740 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3371]) ).
thf(3408,plain,
! [SV718: $i,SV709: $i > $o,SV746: $i,SV691: $i] :
( ( ( ~ ( r1 @ SV691 @ SV746 )
| ~ ! [SY1285: $i] :
( ~ ( r1 @ SV746 @ SY1285 )
| ( SV709 @ SY1285 ) ) )
= $true )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3372]) ).
thf(3409,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK248_SY1245 @ SV710 @ SV692 ) )
| ~ ( SV710 @ ( sK248_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3373]) ).
thf(3410,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK245_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3374]) ).
thf(3411,plain,
! [SV692: $i,SV710: $i > $o] :
( ( ( ~ ( SV710 @ ( sK245_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3374]) ).
thf(3412,plain,
! [SV711: $i > $o,SV741: $i,SV693: $i] :
( ( ( ~ ( r2 @ SV693 @ SV741 ) )
= $true )
| ( ( SV711 @ SV741 )
= $true )
| ( ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3375]) ).
thf(3413,plain,
! [SV711: $i > $o,SV728: $i,SV693: $i] :
( ( ( r2 @ SV693 @ SV728 )
= $false )
| ( ( SV711 @ SV728 )
= $true )
| ( ( SV711 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3376]) ).
thf(3414,plain,
! [SV719: $i,SV712: $i > $o,SV747: $i,SV694: $i] :
( ( ( ~ ( r2 @ SV694 @ SV747 )
| ~ ! [SY1286: $i] :
( ~ ( r2 @ SV747 @ SY1286 )
| ( SV712 @ SY1286 ) ) )
= $true )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3377]) ).
thf(3415,plain,
! [SV713: $i > $o,SV742: $i,SV695: $i] :
( ( ( ~ ( r3 @ SV695 @ SV742 ) )
= $true )
| ( ( ! [SY1281: $i] :
( ~ ( r2 @ SV742 @ SY1281 )
| ( SV713 @ SY1281 ) ) )
= $true )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3378]) ).
thf(3416,plain,
! [SV713: $i > $o,SV729: $i,SV695: $i] :
( ( ( r3 @ SV695 @ SV729 )
= $false )
| ( ( ! [SY1272: $i] :
( ~ ( r2 @ SV729 @ SY1272 )
| ( SV713 @ SY1272 ) ) )
= $true )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3379]) ).
thf(3417,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK249_SY1255 @ SV714 @ SV696 ) )
| ~ ( SV714 @ ( sK249_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3380]) ).
thf(3418,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK246_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3419,plain,
! [SV696: $i,SV714: $i > $o] :
( ( ( ~ ( SV714 @ ( sK246_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3381]) ).
thf(3420,plain,
! [SV715: $i > $o,SV743: $i,SV697: $i] :
( ( ( ~ ( r3 @ SV697 @ SV743 ) )
= $true )
| ( ( ! [SY1282: $i] :
( ~ ( r1 @ SV743 @ SY1282 )
| ( SV715 @ SY1282 ) ) )
= $true )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3382]) ).
thf(3421,plain,
! [SV715: $i > $o,SV730: $i,SV697: $i] :
( ( ( r3 @ SV697 @ SV730 )
= $false )
| ( ( ! [SY1273: $i] :
( ~ ( r1 @ SV730 @ SY1273 )
| ( SV715 @ SY1273 ) ) )
= $true )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3383]) ).
thf(3422,plain,
! [SV716: $i > $o,SV744: $i,SV698: $i] :
( ( ( ~ ( r2 @ SV698 @ SV744 ) )
= $true )
| ( ( ! [SY1283: $i] :
( ~ ( r1 @ SV744 @ SY1283 )
| ( SV716 @ SY1283 ) ) )
= $true )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3423,plain,
! [SV716: $i > $o,SV731: $i,SV698: $i] :
( ( ( r2 @ SV698 @ SV731 )
= $false )
| ( ( ! [SY1274: $i] :
( ~ ( r1 @ SV731 @ SY1274 )
| ( SV716 @ SY1274 ) ) )
= $true )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3385]) ).
thf(3424,plain,
! [SV699: $i > $o,SV732: $i,SV681: $i] :
( ( ( r1 @ SV681 @ SV732 )
= $false )
| ( ( ! [SY1275: $i] :
( ~ ( r1 @ SV732 @ SY1275 )
| ( SV699 @ SY1275 ) ) )
= $true )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3386]) ).
thf(3425,plain,
! [SV681: $i,SV699: $i > $o,SV748: $i,SV720: $i] :
( ( ( ~ ( r1 @ SV720 @ SV748 )
| ( SV699 @ SV748 ) )
= $true )
| ( ( r1 @ SV681 @ SV720 )
= $false )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3387]) ).
thf(3426,plain,
! [SV700: $i > $o,SV733: $i,SV682: $i] :
( ( ( r1 @ SV682 @ SV733 )
= $false )
| ( ( ! [SY1276: $i] :
( ~ ( r3 @ SV733 @ SY1276 )
| ( SV700 @ SY1276 ) ) )
= $true )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3427,plain,
! [SV682: $i,SV700: $i > $o,SV749: $i,SV721: $i] :
( ( ( ~ ( r3 @ SV721 @ SV749 )
| ( SV700 @ SV749 ) )
= $true )
| ( ( r1 @ SV682 @ SV721 )
= $false )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3389]) ).
thf(3428,plain,
! [SV717: $i,SV701: $i > $o,SV745: $i,SV683: $i] :
( ( ( ~ ( r3 @ SV683 @ SV745 ) )
= $true )
| ( ( ~ ! [SY1284: $i] :
( ~ ( r3 @ SV745 @ SY1284 )
| ( SV701 @ SY1284 ) ) )
= $true )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3390]) ).
thf(3429,plain,
! [SV702: $i > $o,SV734: $i,SV684: $i] :
( ( ( r2 @ SV684 @ SV734 )
= $false )
| ( ( ! [SY1277: $i] :
( ~ ( r2 @ SV734 @ SY1277 )
| ( SV702 @ SY1277 ) ) )
= $true )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3430,plain,
! [SV684: $i,SV702: $i > $o,SV750: $i,SV722: $i] :
( ( ( ~ ( r2 @ SV722 @ SV750 )
| ( SV702 @ SV750 ) )
= $true )
| ( ( r2 @ SV684 @ SV722 )
= $false )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3392]) ).
thf(3431,plain,
! [SV703: $i > $o,SV735: $i,SV685: $i] :
( ( ( r3 @ SV685 @ SV735 )
= $false )
| ( ( ! [SY1278: $i] :
( ~ ( r3 @ SV735 @ SY1278 )
| ( SV703 @ SY1278 ) ) )
= $true )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3393]) ).
thf(3432,plain,
! [SV685: $i,SV703: $i > $o,SV751: $i,SV723: $i] :
( ( ( ~ ( r3 @ SV723 @ SV751 )
| ( SV703 @ SV751 ) )
= $true )
| ( ( r3 @ SV685 @ SV723 )
= $false )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3394]) ).
thf(3433,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( ~ ( r3 @ SV686 @ ( sK247_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3395]) ).
thf(3434,plain,
! [SV686: $i,SV704: $i > $o] :
( ( ( ~ ( SV704 @ ( sK247_SY1226 @ SV704 @ SV686 ) ) )
= $false )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3395]) ).
thf(3435,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( r3 @ SV686 @ ( sK244_SY1226 @ SV704 @ SV686 ) )
= $true )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3396]) ).
thf(3436,plain,
! [SV686: $i,SV704: $i > $o] :
( ( ( SV704 @ ( sK244_SY1226 @ SV704 @ SV686 ) )
= $true )
| ( ( SV704 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3397]) ).
thf(3437,plain,
! [SV705: $i > $o,SV736: $i,SV687: $i] :
( ( ( r2 @ SV687 @ SV736 )
= $false )
| ( ( ! [SY1279: $i] :
( ~ ( r3 @ SV736 @ SY1279 )
| ( SV705 @ SY1279 ) ) )
= $true )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3438,plain,
! [SV687: $i,SV705: $i > $o,SV752: $i,SV724: $i] :
( ( ( ~ ( r3 @ SV724 @ SV752 )
| ( SV705 @ SV752 ) )
= $true )
| ( ( r2 @ SV687 @ SV724 )
= $false )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3399]) ).
thf(3439,plain,
! [SV706: $i > $o,SV737: $i,SV688: $i] :
( ( ( r1 @ SV688 @ SV737 )
= $false )
| ( ( ! [SY1280: $i] :
( ~ ( r2 @ SV737 @ SY1280 )
| ( SV706 @ SY1280 ) ) )
= $true )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3400]) ).
thf(3440,plain,
! [SV688: $i,SV706: $i > $o,SV753: $i,SV725: $i] :
( ( ( ~ ( r2 @ SV725 @ SV753 )
| ( SV706 @ SV753 ) )
= $true )
| ( ( r1 @ SV688 @ SV725 )
= $false )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3401]) ).
thf(3441,plain,
! [SV707: $i > $o,SV738: $i,SV689: $i] :
( ( ( r1 @ SV689 @ SV738 )
= $false )
| ( ( SV707 @ SV738 )
= $true )
| ( ( r2 @ SV689 @ ( sK234_SY1233 @ SV707 @ SV689 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3402]) ).
thf(3442,plain,
! [SV708: $i > $o,SV739: $i,SV690: $i] :
( ( ( r1 @ SV690 @ SV739 )
= $false )
| ( ( SV708 @ SV739 )
= $true )
| ( ( r3 @ SV690 @ ( sK235_SY1235 @ SV708 @ SV690 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3443,plain,
! [SV740: $i] :
( ( ( r3 @ sK236_SY1263 @ SV740 )
= $false )
| ( ( sK226_SY1237 @ SV740 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3407]) ).
thf(3444,plain,
! [SV718: $i,SV709: $i > $o,SV746: $i,SV691: $i] :
( ( ( ~ ( r1 @ SV691 @ SV746 ) )
= $true )
| ( ( ~ ! [SY1285: $i] :
( ~ ( r1 @ SV746 @ SY1285 )
| ( SV709 @ SY1285 ) ) )
= $true )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3408]) ).
thf(3445,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( ~ ( r2 @ SV692 @ ( sK248_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3409]) ).
thf(3446,plain,
! [SV692: $i,SV710: $i > $o] :
( ( ( ~ ( SV710 @ ( sK248_SY1245 @ SV710 @ SV692 ) ) )
= $false )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3409]) ).
thf(3447,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( r2 @ SV692 @ ( sK245_SY1245 @ SV710 @ SV692 ) )
= $true )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3410]) ).
thf(3448,plain,
! [SV692: $i,SV710: $i > $o] :
( ( ( SV710 @ ( sK245_SY1245 @ SV710 @ SV692 ) )
= $true )
| ( ( SV710 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3411]) ).
thf(3449,plain,
! [SV711: $i > $o,SV741: $i,SV693: $i] :
( ( ( r2 @ SV693 @ SV741 )
= $false )
| ( ( SV711 @ SV741 )
= $true )
| ( ( r3 @ SV693 @ ( sK238_SY1246 @ SV711 @ SV693 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3412]) ).
thf(3450,plain,
! [SV719: $i,SV712: $i > $o,SV747: $i,SV694: $i] :
( ( ( ~ ( r2 @ SV694 @ SV747 ) )
= $true )
| ( ( ~ ! [SY1286: $i] :
( ~ ( r2 @ SV747 @ SY1286 )
| ( SV712 @ SY1286 ) ) )
= $true )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3414]) ).
thf(3451,plain,
! [SV713: $i > $o,SV742: $i,SV695: $i] :
( ( ( r3 @ SV695 @ SV742 )
= $false )
| ( ( ! [SY1281: $i] :
( ~ ( r2 @ SV742 @ SY1281 )
| ( SV713 @ SY1281 ) ) )
= $true )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3415]) ).
thf(3452,plain,
! [SV695: $i,SV713: $i > $o,SV754: $i,SV729: $i] :
( ( ( ~ ( r2 @ SV729 @ SV754 )
| ( SV713 @ SV754 ) )
= $true )
| ( ( r3 @ SV695 @ SV729 )
= $false )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3416]) ).
thf(3453,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( ~ ( r1 @ SV696 @ ( sK249_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3454,plain,
! [SV696: $i,SV714: $i > $o] :
( ( ( ~ ( SV714 @ ( sK249_SY1255 @ SV714 @ SV696 ) ) )
= $false )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3417]) ).
thf(3455,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( r1 @ SV696 @ ( sK246_SY1255 @ SV714 @ SV696 ) )
= $true )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3418]) ).
thf(3456,plain,
! [SV696: $i,SV714: $i > $o] :
( ( ( SV714 @ ( sK246_SY1255 @ SV714 @ SV696 ) )
= $true )
| ( ( SV714 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3419]) ).
thf(3457,plain,
! [SV715: $i > $o,SV743: $i,SV697: $i] :
( ( ( r3 @ SV697 @ SV743 )
= $false )
| ( ( ! [SY1282: $i] :
( ~ ( r1 @ SV743 @ SY1282 )
| ( SV715 @ SY1282 ) ) )
= $true )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3420]) ).
thf(3458,plain,
! [SV697: $i,SV715: $i > $o,SV755: $i,SV730: $i] :
( ( ( ~ ( r1 @ SV730 @ SV755 )
| ( SV715 @ SV755 ) )
= $true )
| ( ( r3 @ SV697 @ SV730 )
= $false )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3459,plain,
! [SV716: $i > $o,SV744: $i,SV698: $i] :
( ( ( r2 @ SV698 @ SV744 )
= $false )
| ( ( ! [SY1283: $i] :
( ~ ( r1 @ SV744 @ SY1283 )
| ( SV716 @ SY1283 ) ) )
= $true )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3422]) ).
thf(3460,plain,
! [SV698: $i,SV716: $i > $o,SV756: $i,SV731: $i] :
( ( ( ~ ( r1 @ SV731 @ SV756 )
| ( SV716 @ SV756 ) )
= $true )
| ( ( r2 @ SV698 @ SV731 )
= $false )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3423]) ).
thf(3461,plain,
! [SV681: $i,SV699: $i > $o,SV757: $i,SV732: $i] :
( ( ( ~ ( r1 @ SV732 @ SV757 )
| ( SV699 @ SV757 ) )
= $true )
| ( ( r1 @ SV681 @ SV732 )
= $false )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3424]) ).
thf(3462,plain,
! [SV681: $i,SV699: $i > $o,SV748: $i,SV720: $i] :
( ( ( ~ ( r1 @ SV720 @ SV748 ) )
= $true )
| ( ( SV699 @ SV748 )
= $true )
| ( ( r1 @ SV681 @ SV720 )
= $false )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3425]) ).
thf(3463,plain,
! [SV682: $i,SV700: $i > $o,SV758: $i,SV733: $i] :
( ( ( ~ ( r3 @ SV733 @ SV758 )
| ( SV700 @ SV758 ) )
= $true )
| ( ( r1 @ SV682 @ SV733 )
= $false )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3426]) ).
thf(3464,plain,
! [SV682: $i,SV700: $i > $o,SV749: $i,SV721: $i] :
( ( ( ~ ( r3 @ SV721 @ SV749 ) )
= $true )
| ( ( SV700 @ SV749 )
= $true )
| ( ( r1 @ SV682 @ SV721 )
= $false )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3427]) ).
thf(3465,plain,
! [SV717: $i,SV701: $i > $o,SV745: $i,SV683: $i] :
( ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( ~ ! [SY1284: $i] :
( ~ ( r3 @ SV745 @ SY1284 )
| ( SV701 @ SY1284 ) ) )
= $true )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3428]) ).
thf(3466,plain,
! [SV684: $i,SV702: $i > $o,SV759: $i,SV734: $i] :
( ( ( ~ ( r2 @ SV734 @ SV759 )
| ( SV702 @ SV759 ) )
= $true )
| ( ( r2 @ SV684 @ SV734 )
= $false )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3429]) ).
thf(3467,plain,
! [SV684: $i,SV702: $i > $o,SV750: $i,SV722: $i] :
( ( ( ~ ( r2 @ SV722 @ SV750 ) )
= $true )
| ( ( SV702 @ SV750 )
= $true )
| ( ( r2 @ SV684 @ SV722 )
= $false )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3430]) ).
thf(3468,plain,
! [SV685: $i,SV703: $i > $o,SV760: $i,SV735: $i] :
( ( ( ~ ( r3 @ SV735 @ SV760 )
| ( SV703 @ SV760 ) )
= $true )
| ( ( r3 @ SV685 @ SV735 )
= $false )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3431]) ).
thf(3469,plain,
! [SV685: $i,SV703: $i > $o,SV751: $i,SV723: $i] :
( ( ( ~ ( r3 @ SV723 @ SV751 ) )
= $true )
| ( ( SV703 @ SV751 )
= $true )
| ( ( r3 @ SV685 @ SV723 )
= $false )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3432]) ).
thf(3470,plain,
! [SV704: $i > $o,SV686: $i] :
( ( ( r3 @ SV686 @ ( sK247_SY1226 @ SV704 @ SV686 ) )
= $true )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3433]) ).
thf(3471,plain,
! [SV686: $i,SV704: $i > $o] :
( ( ( SV704 @ ( sK247_SY1226 @ SV704 @ SV686 ) )
= $true )
| ( ( r3 @ SV686 @ ( sK231_SY1225 @ SV704 @ SV686 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3434]) ).
thf(3472,plain,
! [SV687: $i,SV705: $i > $o,SV761: $i,SV736: $i] :
( ( ( ~ ( r3 @ SV736 @ SV761 )
| ( SV705 @ SV761 ) )
= $true )
| ( ( r2 @ SV687 @ SV736 )
= $false )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3437]) ).
thf(3473,plain,
! [SV687: $i,SV705: $i > $o,SV752: $i,SV724: $i] :
( ( ( ~ ( r3 @ SV724 @ SV752 ) )
= $true )
| ( ( SV705 @ SV752 )
= $true )
| ( ( r2 @ SV687 @ SV724 )
= $false )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3438]) ).
thf(3474,plain,
! [SV688: $i,SV706: $i > $o,SV762: $i,SV737: $i] :
( ( ( ~ ( r2 @ SV737 @ SV762 )
| ( SV706 @ SV762 ) )
= $true )
| ( ( r1 @ SV688 @ SV737 )
= $false )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3439]) ).
thf(3475,plain,
! [SV688: $i,SV706: $i > $o,SV753: $i,SV725: $i] :
( ( ( ~ ( r2 @ SV725 @ SV753 ) )
= $true )
| ( ( SV706 @ SV753 )
= $true )
| ( ( r1 @ SV688 @ SV725 )
= $false )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3440]) ).
thf(3476,plain,
! [SV718: $i,SV709: $i > $o,SV746: $i,SV691: $i] :
( ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( ~ ! [SY1285: $i] :
( ~ ( r1 @ SV746 @ SY1285 )
| ( SV709 @ SY1285 ) ) )
= $true )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3477,plain,
! [SV710: $i > $o,SV692: $i] :
( ( ( r2 @ SV692 @ ( sK248_SY1245 @ SV710 @ SV692 ) )
= $true )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3445]) ).
thf(3478,plain,
! [SV692: $i,SV710: $i > $o] :
( ( ( SV710 @ ( sK248_SY1245 @ SV710 @ SV692 ) )
= $true )
| ( ( r2 @ SV692 @ ( sK237_SY1244 @ SV710 @ SV692 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3446]) ).
thf(3479,plain,
! [SV719: $i,SV712: $i > $o,SV747: $i,SV694: $i] :
( ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( ~ ! [SY1286: $i] :
( ~ ( r2 @ SV747 @ SY1286 )
| ( SV712 @ SY1286 ) ) )
= $true )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3450]) ).
thf(3480,plain,
! [SV695: $i,SV713: $i > $o,SV763: $i,SV742: $i] :
( ( ( ~ ( r2 @ SV742 @ SV763 )
| ( SV713 @ SV763 ) )
= $true )
| ( ( r3 @ SV695 @ SV742 )
= $false )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3451]) ).
thf(3481,plain,
! [SV695: $i,SV713: $i > $o,SV754: $i,SV729: $i] :
( ( ( ~ ( r2 @ SV729 @ SV754 ) )
= $true )
| ( ( SV713 @ SV754 )
= $true )
| ( ( r3 @ SV695 @ SV729 )
= $false )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3452]) ).
thf(3482,plain,
! [SV714: $i > $o,SV696: $i] :
( ( ( r1 @ SV696 @ ( sK249_SY1255 @ SV714 @ SV696 ) )
= $true )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3453]) ).
thf(3483,plain,
! [SV696: $i,SV714: $i > $o] :
( ( ( SV714 @ ( sK249_SY1255 @ SV714 @ SV696 ) )
= $true )
| ( ( r1 @ SV696 @ ( sK240_SY1254 @ SV714 @ SV696 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3454]) ).
thf(3484,plain,
! [SV697: $i,SV715: $i > $o,SV764: $i,SV743: $i] :
( ( ( ~ ( r1 @ SV743 @ SV764 )
| ( SV715 @ SV764 ) )
= $true )
| ( ( r3 @ SV697 @ SV743 )
= $false )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3457]) ).
thf(3485,plain,
! [SV697: $i,SV715: $i > $o,SV755: $i,SV730: $i] :
( ( ( ~ ( r1 @ SV730 @ SV755 ) )
= $true )
| ( ( SV715 @ SV755 )
= $true )
| ( ( r3 @ SV697 @ SV730 )
= $false )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3458]) ).
thf(3486,plain,
! [SV698: $i,SV716: $i > $o,SV765: $i,SV744: $i] :
( ( ( ~ ( r1 @ SV744 @ SV765 )
| ( SV716 @ SV765 ) )
= $true )
| ( ( r2 @ SV698 @ SV744 )
= $false )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3459]) ).
thf(3487,plain,
! [SV698: $i,SV716: $i > $o,SV756: $i,SV731: $i] :
( ( ( ~ ( r1 @ SV731 @ SV756 ) )
= $true )
| ( ( SV716 @ SV756 )
= $true )
| ( ( r2 @ SV698 @ SV731 )
= $false )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3460]) ).
thf(3488,plain,
! [SV681: $i,SV699: $i > $o,SV757: $i,SV732: $i] :
( ( ( ~ ( r1 @ SV732 @ SV757 ) )
= $true )
| ( ( SV699 @ SV757 )
= $true )
| ( ( r1 @ SV681 @ SV732 )
= $false )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3461]) ).
thf(3489,plain,
! [SV681: $i,SV699: $i > $o,SV748: $i,SV720: $i] :
( ( ( r1 @ SV720 @ SV748 )
= $false )
| ( ( SV699 @ SV748 )
= $true )
| ( ( r1 @ SV681 @ SV720 )
= $false )
| ( ( SV699 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3490,plain,
! [SV682: $i,SV700: $i > $o,SV758: $i,SV733: $i] :
( ( ( ~ ( r3 @ SV733 @ SV758 ) )
= $true )
| ( ( SV700 @ SV758 )
= $true )
| ( ( r1 @ SV682 @ SV733 )
= $false )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3463]) ).
thf(3491,plain,
! [SV682: $i,SV700: $i > $o,SV749: $i,SV721: $i] :
( ( ( r3 @ SV721 @ SV749 )
= $false )
| ( ( SV700 @ SV749 )
= $true )
| ( ( r1 @ SV682 @ SV721 )
= $false )
| ( ( SV700 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3464]) ).
thf(3492,plain,
! [SV717: $i,SV683: $i,SV701: $i > $o,SV745: $i] :
( ( ( ! [SY1284: $i] :
( ~ ( r3 @ SV745 @ SY1284 )
| ( SV701 @ SY1284 ) ) )
= $false )
| ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3493,plain,
! [SV684: $i,SV702: $i > $o,SV759: $i,SV734: $i] :
( ( ( ~ ( r2 @ SV734 @ SV759 ) )
= $true )
| ( ( SV702 @ SV759 )
= $true )
| ( ( r2 @ SV684 @ SV734 )
= $false )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3466]) ).
thf(3494,plain,
! [SV684: $i,SV702: $i > $o,SV750: $i,SV722: $i] :
( ( ( r2 @ SV722 @ SV750 )
= $false )
| ( ( SV702 @ SV750 )
= $true )
| ( ( r2 @ SV684 @ SV722 )
= $false )
| ( ( SV702 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3495,plain,
! [SV685: $i,SV703: $i > $o,SV760: $i,SV735: $i] :
( ( ( ~ ( r3 @ SV735 @ SV760 ) )
= $true )
| ( ( SV703 @ SV760 )
= $true )
| ( ( r3 @ SV685 @ SV735 )
= $false )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3468]) ).
thf(3496,plain,
! [SV685: $i,SV703: $i > $o,SV751: $i,SV723: $i] :
( ( ( r3 @ SV723 @ SV751 )
= $false )
| ( ( SV703 @ SV751 )
= $true )
| ( ( r3 @ SV685 @ SV723 )
= $false )
| ( ( SV703 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3497,plain,
! [SV687: $i,SV705: $i > $o,SV761: $i,SV736: $i] :
( ( ( ~ ( r3 @ SV736 @ SV761 ) )
= $true )
| ( ( SV705 @ SV761 )
= $true )
| ( ( r2 @ SV687 @ SV736 )
= $false )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3472]) ).
thf(3498,plain,
! [SV687: $i,SV705: $i > $o,SV752: $i,SV724: $i] :
( ( ( r3 @ SV724 @ SV752 )
= $false )
| ( ( SV705 @ SV752 )
= $true )
| ( ( r2 @ SV687 @ SV724 )
= $false )
| ( ( SV705 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3473]) ).
thf(3499,plain,
! [SV688: $i,SV706: $i > $o,SV762: $i,SV737: $i] :
( ( ( ~ ( r2 @ SV737 @ SV762 ) )
= $true )
| ( ( SV706 @ SV762 )
= $true )
| ( ( r1 @ SV688 @ SV737 )
= $false )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3474]) ).
thf(3500,plain,
! [SV688: $i,SV706: $i > $o,SV753: $i,SV725: $i] :
( ( ( r2 @ SV725 @ SV753 )
= $false )
| ( ( SV706 @ SV753 )
= $true )
| ( ( r1 @ SV688 @ SV725 )
= $false )
| ( ( SV706 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3475]) ).
thf(3501,plain,
! [SV718: $i,SV691: $i,SV709: $i > $o,SV746: $i] :
( ( ( ! [SY1285: $i] :
( ~ ( r1 @ SV746 @ SY1285 )
| ( SV709 @ SY1285 ) ) )
= $false )
| ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3502,plain,
! [SV719: $i,SV694: $i,SV712: $i > $o,SV747: $i] :
( ( ( ! [SY1286: $i] :
( ~ ( r2 @ SV747 @ SY1286 )
| ( SV712 @ SY1286 ) ) )
= $false )
| ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3479]) ).
thf(3503,plain,
! [SV695: $i,SV713: $i > $o,SV763: $i,SV742: $i] :
( ( ( ~ ( r2 @ SV742 @ SV763 ) )
= $true )
| ( ( SV713 @ SV763 )
= $true )
| ( ( r3 @ SV695 @ SV742 )
= $false )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3480]) ).
thf(3504,plain,
! [SV695: $i,SV713: $i > $o,SV754: $i,SV729: $i] :
( ( ( r2 @ SV729 @ SV754 )
= $false )
| ( ( SV713 @ SV754 )
= $true )
| ( ( r3 @ SV695 @ SV729 )
= $false )
| ( ( SV713 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3505,plain,
! [SV697: $i,SV715: $i > $o,SV764: $i,SV743: $i] :
( ( ( ~ ( r1 @ SV743 @ SV764 ) )
= $true )
| ( ( SV715 @ SV764 )
= $true )
| ( ( r3 @ SV697 @ SV743 )
= $false )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3484]) ).
thf(3506,plain,
! [SV697: $i,SV715: $i > $o,SV755: $i,SV730: $i] :
( ( ( r1 @ SV730 @ SV755 )
= $false )
| ( ( SV715 @ SV755 )
= $true )
| ( ( r3 @ SV697 @ SV730 )
= $false )
| ( ( SV715 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3485]) ).
thf(3507,plain,
! [SV698: $i,SV716: $i > $o,SV765: $i,SV744: $i] :
( ( ( ~ ( r1 @ SV744 @ SV765 ) )
= $true )
| ( ( SV716 @ SV765 )
= $true )
| ( ( r2 @ SV698 @ SV744 )
= $false )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3486]) ).
thf(3508,plain,
! [SV698: $i,SV716: $i > $o,SV756: $i,SV731: $i] :
( ( ( r1 @ SV731 @ SV756 )
= $false )
| ( ( SV716 @ SV756 )
= $true )
| ( ( r2 @ SV698 @ SV731 )
= $false )
| ( ( SV716 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3487]) ).
thf(3509,plain,
! [SV681: $i,SV699: $i > $o,SV757: $i,SV732: $i] :
( ( ( r1 @ SV732 @ SV757 )
= $false )
| ( ( SV699 @ SV757 )
= $true )
| ( ( r1 @ SV681 @ SV732 )
= $false )
| ( ( r1 @ SV681 @ ( sK227_SY1210 @ SV699 @ SV681 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3488]) ).
thf(3510,plain,
! [SV682: $i,SV700: $i > $o,SV758: $i,SV733: $i] :
( ( ( r3 @ SV733 @ SV758 )
= $false )
| ( ( SV700 @ SV758 )
= $true )
| ( ( r1 @ SV682 @ SV733 )
= $false )
| ( ( r3 @ SV682 @ ( sK228_SY1213 @ SV700 @ SV682 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3490]) ).
thf(3511,plain,
! [SV701: $i > $o,SV683: $i,SV717: $i,SV745: $i] :
( ( ( ~ ( r3 @ SV745 @ ( sK250_SY1284 @ SV717 @ SV683 @ SV701 @ SV745 ) )
| ( SV701 @ ( sK250_SY1284 @ SV717 @ SV683 @ SV701 @ SV745 ) ) )
= $false )
| ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3492]) ).
thf(3512,plain,
! [SV684: $i,SV702: $i > $o,SV759: $i,SV734: $i] :
( ( ( r2 @ SV734 @ SV759 )
= $false )
| ( ( SV702 @ SV759 )
= $true )
| ( ( r2 @ SV684 @ SV734 )
= $false )
| ( ( r2 @ SV684 @ ( sK229_SY1219 @ SV702 @ SV684 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3493]) ).
thf(3513,plain,
! [SV685: $i,SV703: $i > $o,SV760: $i,SV735: $i] :
( ( ( r3 @ SV735 @ SV760 )
= $false )
| ( ( SV703 @ SV760 )
= $true )
| ( ( r3 @ SV685 @ SV735 )
= $false )
| ( ( r3 @ SV685 @ ( sK230_SY1222 @ SV703 @ SV685 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3495]) ).
thf(3514,plain,
! [SV687: $i,SV705: $i > $o,SV761: $i,SV736: $i] :
( ( ( r3 @ SV736 @ SV761 )
= $false )
| ( ( SV705 @ SV761 )
= $true )
| ( ( r2 @ SV687 @ SV736 )
= $false )
| ( ( r3 @ SV687 @ ( sK232_SY1227 @ SV705 @ SV687 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3497]) ).
thf(3515,plain,
! [SV688: $i,SV706: $i > $o,SV762: $i,SV737: $i] :
( ( ( r2 @ SV737 @ SV762 )
= $false )
| ( ( SV706 @ SV762 )
= $true )
| ( ( r1 @ SV688 @ SV737 )
= $false )
| ( ( r2 @ SV688 @ ( sK233_SY1230 @ SV706 @ SV688 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3499]) ).
thf(3516,plain,
! [SV709: $i > $o,SV691: $i,SV718: $i,SV746: $i] :
( ( ( ~ ( r1 @ SV746 @ ( sK251_SY1285 @ SV718 @ SV691 @ SV709 @ SV746 ) )
| ( SV709 @ ( sK251_SY1285 @ SV718 @ SV691 @ SV709 @ SV746 ) ) )
= $false )
| ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3501]) ).
thf(3517,plain,
! [SV712: $i > $o,SV694: $i,SV719: $i,SV747: $i] :
( ( ( ~ ( r2 @ SV747 @ ( sK252_SY1286 @ SV719 @ SV694 @ SV712 @ SV747 ) )
| ( SV712 @ ( sK252_SY1286 @ SV719 @ SV694 @ SV712 @ SV747 ) ) )
= $false )
| ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3502]) ).
thf(3518,plain,
! [SV695: $i,SV713: $i > $o,SV763: $i,SV742: $i] :
( ( ( r2 @ SV742 @ SV763 )
= $false )
| ( ( SV713 @ SV763 )
= $true )
| ( ( r3 @ SV695 @ SV742 )
= $false )
| ( ( r2 @ SV695 @ ( sK239_SY1251 @ SV713 @ SV695 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3519,plain,
! [SV697: $i,SV715: $i > $o,SV764: $i,SV743: $i] :
( ( ( r1 @ SV743 @ SV764 )
= $false )
| ( ( SV715 @ SV764 )
= $true )
| ( ( r3 @ SV697 @ SV743 )
= $false )
| ( ( r1 @ SV697 @ ( sK241_SY1256 @ SV715 @ SV697 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3520,plain,
! [SV698: $i,SV716: $i > $o,SV765: $i,SV744: $i] :
( ( ( r1 @ SV744 @ SV765 )
= $false )
| ( ( SV716 @ SV765 )
= $true )
| ( ( r2 @ SV698 @ SV744 )
= $false )
| ( ( r1 @ SV698 @ ( sK242_SY1259 @ SV716 @ SV698 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3507]) ).
thf(3521,plain,
! [SV701: $i > $o,SV683: $i,SV717: $i,SV745: $i] :
( ( ( ~ ( r3 @ SV745 @ ( sK250_SY1284 @ SV717 @ SV683 @ SV701 @ SV745 ) ) )
= $false )
| ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3511]) ).
thf(3522,plain,
! [SV745: $i,SV683: $i,SV717: $i,SV701: $i > $o] :
( ( ( SV701 @ ( sK250_SY1284 @ SV717 @ SV683 @ SV701 @ SV745 ) )
= $false )
| ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3511]) ).
thf(3523,plain,
! [SV709: $i > $o,SV691: $i,SV718: $i,SV746: $i] :
( ( ( ~ ( r1 @ SV746 @ ( sK251_SY1285 @ SV718 @ SV691 @ SV709 @ SV746 ) ) )
= $false )
| ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3516]) ).
thf(3524,plain,
! [SV746: $i,SV691: $i,SV718: $i,SV709: $i > $o] :
( ( ( SV709 @ ( sK251_SY1285 @ SV718 @ SV691 @ SV709 @ SV746 ) )
= $false )
| ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3516]) ).
thf(3525,plain,
! [SV712: $i > $o,SV694: $i,SV719: $i,SV747: $i] :
( ( ( ~ ( r2 @ SV747 @ ( sK252_SY1286 @ SV719 @ SV694 @ SV712 @ SV747 ) ) )
= $false )
| ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3517]) ).
thf(3526,plain,
! [SV747: $i,SV694: $i,SV719: $i,SV712: $i > $o] :
( ( ( SV712 @ ( sK252_SY1286 @ SV719 @ SV694 @ SV712 @ SV747 ) )
= $false )
| ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3517]) ).
thf(3527,plain,
! [SV701: $i > $o,SV683: $i,SV717: $i,SV745: $i] :
( ( ( r3 @ SV745 @ ( sK250_SY1284 @ SV717 @ SV683 @ SV701 @ SV745 ) )
= $true )
| ( ( r3 @ SV683 @ SV745 )
= $false )
| ( ( SV701 @ SV717 )
= $true )
| ( ( r3 @ SV683 @ SV717 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3521]) ).
thf(3528,plain,
! [SV709: $i > $o,SV691: $i,SV718: $i,SV746: $i] :
( ( ( r1 @ SV746 @ ( sK251_SY1285 @ SV718 @ SV691 @ SV709 @ SV746 ) )
= $true )
| ( ( r1 @ SV691 @ SV746 )
= $false )
| ( ( SV709 @ SV718 )
= $true )
| ( ( r1 @ SV691 @ SV718 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3523]) ).
thf(3529,plain,
! [SV712: $i > $o,SV694: $i,SV719: $i,SV747: $i] :
( ( ( r2 @ SV747 @ ( sK252_SY1286 @ SV719 @ SV694 @ SV712 @ SV747 ) )
= $true )
| ( ( r2 @ SV694 @ SV747 )
= $false )
| ( ( SV712 @ SV719 )
= $true )
| ( ( r2 @ SV694 @ SV719 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3525]) ).
thf(3530,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3334,3529,3528,3527,3526,3524,3522,3520,3519,3518,3515,3514,3513,3512,3510,3509,3508,3506,3504,3500,3498,3496,3494,3491,3489,3483,3482,3478,3477,3471,3470,3456,3455,3449,3448,3447,3443,3442,3441,3436,3435,3413,3406,3405,3403,3370]) ).
thf(3531,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3530,426,814,1202,1590,1978,2366,2754,3142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL881^1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 2 20:58:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.37
% 0.20/0.37 No.of.Axioms: 18
% 0.20/0.37
% 0.20/0.37 Length.of.Defs: 5324
% 0.20/0.37
% 0.20/0.37 Contains.Choice.Funs: false
% 0.20/0.39 (rf:0,axioms:18,ps:3,u:6,ude:false,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:20,loop_count:0,foatp_calls:0,translation:fof_full).........................................................................................................................................................................................................
% 1.90/2.12
% 1.90/2.12 ********************************
% 1.90/2.12 * All subproblems solved! *
% 1.90/2.12 ********************************
% 1.90/2.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:false,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:3530,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.66/5.89
% 5.66/5.89 %**** Beginning of derivation protocol ****
% 5.66/5.89 % SZS output start CNFRefutation
% See solution above
% 5.71/5.90
% 5.71/5.90 %**** End of derivation protocol ****
% 5.71/5.90 %**** no. of clauses in derivation: 3531 ****
% 5.71/5.90 %**** clause counter: 3530 ****
% 5.71/5.90
% 5.71/5.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,ps:3,u:6,ude:false,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:3530,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------