TSTP Solution File: SWC288+1 by Goeland---1.0.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 : 300s
% DateTime : Tue Sep 20 11:19:24 EDT 2022
% Result : Theorem 164.23s 29.55s
% Output : Proof 164.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Sep 3 23:44:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000036s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.37 Conjecture not found
% 0.14/0.37 Start search
% 0.14/0.38 nb_step : 1 - limit : 212
% 0.14/0.38 Launch Gotab with destructive = true
% 163.99/29.46 % SZS output start Proof for theBenchmark.p
% 164.23/29.54 [0] ALPHA_AND : ((! [U9_9] : ((ssItem(U9_9) => ! [V10_10] : ((ssItem(V10_10) => (neq(U9_9, V10_10) <=> ~=(U9_9, V10_10)))))) & ? [U11_11] : ((ssItem(U11_11) & ? [V12_12] : ((ssItem(V12_12) & ~=(U11_11, V12_12))))) & ! [U13_13] : ((ssList(U13_13) => ! [V14_14] : ((ssItem(V14_14) => (memberP(U13_13, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), U13_13)))))))))) & ! [U17_17] : ((ssList(U17_17) => (singletonP(U17_17) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), U17_17)))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), U22_22)))))))) & ! [U25_25] : ((ssList(U25_25) => ! [V26_26] : ((ssList(V26_26) => (segmentP(U25_25, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), U25_25)))))))))) & ! [U29_29] : ((ssList(U29_29) => (cyclefreeP(U29_29) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), U29_29) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))) & ! [U35_35] : ((ssList(U35_35) => (totalorderP(U35_35) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), U35_35) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))) & ! [U41_41] : ((ssList(U41_41) => (strictorderP(U41_41) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), U41_41) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))) & ! [U47_47] : ((ssList(U47_47) => (totalorderedP(U47_47) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), U47_47) => leq(V48_48, W49_49))))))))))))))) & ! [U53_53] : ((ssList(U53_53) => (strictorderedP(U53_53) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), U53_53) => lt(V54_54, W55_55))))))))))))))) & ! [U59_59] : ((ssList(U59_59) => (duplicatefreeP(U59_59) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), U59_59) => ~=(V60_60, W61_61))))))))))))))) & ! [U65_65] : ((ssList(U65_65) => (equalelemsP(U65_65) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), U65_65) => =(V66_66, W67_67))))))))))))) & ! [U70_70] : ((ssList(U70_70) => ! [V71_71] : ((ssList(V71_71) => (neq(U70_70, V71_71) <=> ~=(U70_70, V71_71)))))) & ! [U72_72] : ((ssList(U72_72) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, U72_72)))))) & ssList(nil) & ! [U74_74] : ((ssList(U74_74) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, U74_74), U74_74))))) & ! [U76_76] : ((ssList(U76_76) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, U76_76), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, U76_76))))))))))) & ! [U80_80] : ((ssList(U80_80) => (=(nil, U80_80) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), U80_80)))))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, U83_83)))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssItem(hd(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, U86_86)), V87_87))))) & ! [U88_88] : ((ssList(U88_88) => (~=(nil, U88_88) => ssList(tl(U88_88))))) & ! [U89_89] : ((ssList(U89_89) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, U89_89)), U89_89))))) & ! [U91_91] : ((ssList(U91_91) => ! [V92_92] : ((ssList(V92_92) => ssList(app(U91_91, V92_92)))))) & ! [U93_93] : ((ssList(U93_93) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, U93_93)), app(cons(W95_95, V94_94), U93_93)))))))) & ! [U96_96] : ((ssList(U96_96) => =(app(nil, U96_96), U96_96))) & ! [U97_97] : ((ssItem(U97_97) => ! [V98_98] : ((ssItem(V98_98) => ((leq(U97_97, V98_98) & leq(V98_98, U97_97)) => =(U97_97, V98_98)))))) & ! [U99_99] : ((ssItem(U99_99) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(U99_99, V100_100) & leq(V100_100, W101_101)) => leq(U99_99, W101_101)))))))) & ! [U102_102] : ((ssItem(U102_102) => leq(U102_102, U102_102))) & ! [U103_103] : ((ssItem(U103_103) => ! [V104_104] : ((ssItem(V104_104) => (geq(U103_103, V104_104) <=> leq(V104_104, U103_103)))))) & ! [U105_105] : ((ssItem(U105_105) => ! [V106_106] : ((ssItem(V106_106) => (lt(U105_105, V106_106) => ~lt(V106_106, U105_105)))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(U107_107, V108_108) & lt(V108_108, W109_109)) => lt(U107_107, W109_109)))))))) & ! [U110_110] : ((ssItem(U110_110) => ! [V111_111] : ((ssItem(V111_111) => (gt(U110_110, V111_111) <=> lt(V111_111, U110_110)))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), U112_112) <=> (memberP(V113_113, U112_112) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), U115_115) <=> (=(U115_115, V116_116) | memberP(W117_117, U115_115))))))))) & ! [U118_118] : ((ssItem(U118_118) => ~memberP(nil, U118_118))) & ~singletonP(nil) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(U119_119, W121_121)))))))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(U122_122, V123_123) & frontsegP(V123_123, U122_122)) => =(U122_122, V123_123)))))) & ! [U124_124] : ((ssList(U124_124) => frontsegP(U124_124, U124_124))) & ! [U125_125] : ((ssList(U125_125) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(U125_125, V126_126) => frontsegP(app(U125_125, W127_127), V126_126)))))))) & ! [U128_128] : ((ssItem(U128_128) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(U128_128, W130_130), cons(V129_129, X131_131)) <=> (=(U128_128, V129_129) & frontsegP(W130_130, X131_131))))))))))) & ! [U132_132] : ((ssList(U132_132) => frontsegP(U132_132, nil))) & ! [U133_133] : ((ssList(U133_133) => (frontsegP(nil, U133_133) <=> =(nil, U133_133)))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(U134_134, W136_136)))))))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(U137_137, V138_138) & rearsegP(V138_138, U137_137)) => =(U137_137, V138_138)))))) & ! [U139_139] : ((ssList(U139_139) => rearsegP(U139_139, U139_139))) & ! [U140_140] : ((ssList(U140_140) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(U140_140, V141_141) => rearsegP(app(W142_142, U140_140), V141_141)))))))) & ! [U143_143] : ((ssList(U143_143) => rearsegP(U143_143, nil))) & ! [U144_144] : ((ssList(U144_144) => (rearsegP(nil, U144_144) <=> =(nil, U144_144)))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, W147_147)) => segmentP(U145_145, W147_147)))))))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(U148_148, V149_149) & segmentP(V149_149, U148_148)) => =(U148_148, V149_149)))))) & ! [U150_150] : ((ssList(U150_150) => segmentP(U150_150, U150_150))) & ! [U151_151] : ((ssList(U151_151) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(U151_151, V152_152) => segmentP(app(app(W153_153, U151_151), X154_154), V152_152)))))))))) & ! [U155_155] : ((ssList(U155_155) => segmentP(U155_155, nil))) & ! [U156_156] : ((ssList(U156_156) => (segmentP(nil, U156_156) <=> =(nil, U156_156)))) & ! [U157_157] : ((ssItem(U157_157) => cyclefreeP(cons(U157_157, nil)))) & cyclefreeP(nil) & ! [U158_158] : ((ssItem(U158_158) => totalorderP(cons(U158_158, nil)))) & totalorderP(nil) & ! [U159_159] : ((ssItem(U159_159) => strictorderP(cons(U159_159, nil)))) & strictorderP(nil) & ! [U160_160] : ((ssItem(U160_160) => totalorderedP(cons(U160_160, nil)))) & totalorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => strictorderedP(cons(U163_163, nil)))) & strictorderedP(nil) & ! [U164_164] : ((ssItem(U164_164) => ! [V165_165] : ((ssList(V165_165) => (strictorderedP(cons(U164_164, V165_165)) <=> (=(nil, V165_165) | ((~=(nil, V165_165) & strictorderedP(V165_165)) & lt(U164_164, hd(V165_165))))))))) & ! [U166_166] : ((ssItem(U166_166) => duplicatefreeP(cons(U166_166, nil)))) & duplicatefreeP(nil) & ! [U167_167] : ((ssItem(U167_167) => equalelemsP(cons(U167_167, nil)))) & equalelemsP(nil) & ! [U168_168] : ((ssList(U168_168) => (~=(nil, U168_168) => ? [V169_169] : ((ssItem(V169_169) & =(hd(U168_168), V169_169)))))) & ! [U170_170] : ((ssList(U170_170) => (~=(nil, U170_170) => ? [V171_171] : ((ssList(V171_171) & =(tl(U170_170), V171_171)))))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ((((~=(nil, V173_173) & ~=(nil, U172_172)) & =(hd(V173_173), hd(U172_172))) & =(tl(V173_173), tl(U172_172))) => =(V173_173, U172_172)))))) & ! [U174_174] : ((ssList(U174_174) => (~=(nil, U174_174) => =(cons(hd(U174_174), tl(U174_174)), U174_174)))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(W177_177, V176_176), app(U175_175, V176_176)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssList(V179_179) => ! [W180_180] : ((ssList(W180_180) => (=(app(V179_179, W180_180), app(V179_179, U178_178)) => =(W180_180, U178_178)))))))) & ! [U181_181] : ((ssList(U181_181) => ! [V182_182] : ((ssItem(V182_182) => =(cons(V182_182, U181_181), app(cons(V182_182, nil), U181_181)))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => ! [W185_185] : ((ssList(W185_185) => =(app(app(U183_183, V184_184), W185_185), app(U183_183, app(V184_184, W185_185))))))))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (=(nil, app(U186_186, V187_187)) <=> (=(nil, V187_187) & =(nil, U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => =(app(U188_188, nil), U188_188))) & ! [U189_189] : ((ssList(U189_189) => ! [V190_190] : ((ssList(V190_190) => (~=(nil, U189_189) => =(hd(app(U189_189, V190_190)), hd(U189_189))))))) & ! [U191_191] : ((ssList(U191_191) => ! [V192_192] : ((ssList(V192_192) => (~=(nil, U191_191) => =(tl(app(U191_191, V192_192)), app(tl(U191_191), V192_192))))))) & ! [U193_193] : ((ssItem(U193_193) => ! [V194_194] : ((ssItem(V194_194) => ((geq(U193_193, V194_194) & geq(V194_194, U193_193)) => =(U193_193, V194_194)))))) & ! [U195_195] : ((ssItem(U195_195) => ! [V196_196] : ((ssItem(V196_196) => ! [W197_197] : ((ssItem(W197_197) => ((geq(U195_195, V196_196) & geq(V196_196, W197_197)) => geq(U195_195, W197_197)))))))) & ! [U198_198] : ((ssItem(U198_198) => geq(U198_198, U198_198))) & ! [U199_199] : ((ssItem(U199_199) => ~lt(U199_199, U199_199))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => ! [W202_202] : ((ssItem(W202_202) => ((leq(U200_200, V201_201) & lt(V201_201, W202_202)) => lt(U200_200, W202_202)))))))) & ! [U203_203] : ((ssItem(U203_203) => ! [V204_204] : ((ssItem(V204_204) => (leq(U203_203, V204_204) => (=(U203_203, V204_204) | lt(U203_203, V204_204))))))) & ! [U205_205] : ((ssItem(U205_205) => ! [V206_206] : ((ssItem(V206_206) => (lt(U205_205, V206_206) <=> (~=(U205_205, V206_206) & leq(U205_205, V206_206))))))) & ! [U207_207] : ((ssItem(U207_207) => ! [V208_208] : ((ssItem(V208_208) => (gt(U207_207, V208_208) => ~gt(V208_208, U207_207)))))) & ! [U209_209] : ((ssItem(U209_209) => ! [V210_210] : ((ssItem(V210_210) => ! [W211_211] : ((ssItem(W211_211) => ((gt(U209_209, V210_210) & gt(V210_210, W211_211)) => gt(U209_209, W211_211))))))))) & ~! [U212_212] : ((ssList(U212_212) => ! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(U212_212, W214_214)) | strictorderedP(U212_212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214))))))))))))
% 164.23/29.54 -> [1] (! [U9_9] : ((ssItem(U9_9) => ! [V10_10] : ((ssItem(V10_10) => (neq(U9_9, V10_10) <=> ~=(U9_9, V10_10)))))) & ? [U11_11] : ((ssItem(U11_11) & ? [V12_12] : ((ssItem(V12_12) & ~=(U11_11, V12_12))))) & ! [U13_13] : ((ssList(U13_13) => ! [V14_14] : ((ssItem(V14_14) => (memberP(U13_13, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), U13_13)))))))))) & ! [U17_17] : ((ssList(U17_17) => (singletonP(U17_17) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), U17_17)))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), U22_22)))))))) & ! [U25_25] : ((ssList(U25_25) => ! [V26_26] : ((ssList(V26_26) => (segmentP(U25_25, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), U25_25)))))))))) & ! [U29_29] : ((ssList(U29_29) => (cyclefreeP(U29_29) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), U29_29) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))) & ! [U35_35] : ((ssList(U35_35) => (totalorderP(U35_35) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), U35_35) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))) & ! [U41_41] : ((ssList(U41_41) => (strictorderP(U41_41) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), U41_41) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))) & ! [U47_47] : ((ssList(U47_47) => (totalorderedP(U47_47) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), U47_47) => leq(V48_48, W49_49))))))))))))))) & ! [U53_53] : ((ssList(U53_53) => (strictorderedP(U53_53) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), U53_53) => lt(V54_54, W55_55))))))))))))))) & ! [U59_59] : ((ssList(U59_59) => (duplicatefreeP(U59_59) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), U59_59) => ~=(V60_60, W61_61))))))))))))))) & ! [U65_65] : ((ssList(U65_65) => (equalelemsP(U65_65) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), U65_65) => =(V66_66, W67_67))))))))))))) & ! [U70_70] : ((ssList(U70_70) => ! [V71_71] : ((ssList(V71_71) => (neq(U70_70, V71_71) <=> ~=(U70_70, V71_71)))))) & ! [U72_72] : ((ssList(U72_72) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, U72_72)))))) & ssList(nil) & ! [U74_74] : ((ssList(U74_74) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, U74_74), U74_74))))) & ! [U76_76] : ((ssList(U76_76) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, U76_76), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, U76_76))))))))))) & ! [U80_80] : ((ssList(U80_80) => (=(nil, U80_80) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), U80_80)))))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, U83_83)))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssItem(hd(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, U86_86)), V87_87))))) & ! [U88_88] : ((ssList(U88_88) => (~=(nil, U88_88) => ssList(tl(U88_88))))) & ! [U89_89] : ((ssList(U89_89) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, U89_89)), U89_89))))) & ! [U91_91] : ((ssList(U91_91) => ! [V92_92] : ((ssList(V92_92) => ssList(app(U91_91, V92_92)))))) & ! [U93_93] : ((ssList(U93_93) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, U93_93)), app(cons(W95_95, V94_94), U93_93)))))))) & ! [U96_96] : ((ssList(U96_96) => =(app(nil, U96_96), U96_96))) & ! [U97_97] : ((ssItem(U97_97) => ! [V98_98] : ((ssItem(V98_98) => ((leq(U97_97, V98_98) & leq(V98_98, U97_97)) => =(U97_97, V98_98)))))) & ! [U99_99] : ((ssItem(U99_99) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(U99_99, V100_100) & leq(V100_100, W101_101)) => leq(U99_99, W101_101)))))))) & ! [U102_102] : ((ssItem(U102_102) => leq(U102_102, U102_102))) & ! [U103_103] : ((ssItem(U103_103) => ! [V104_104] : ((ssItem(V104_104) => (geq(U103_103, V104_104) <=> leq(V104_104, U103_103)))))) & ! [U105_105] : ((ssItem(U105_105) => ! [V106_106] : ((ssItem(V106_106) => (lt(U105_105, V106_106) => ~lt(V106_106, U105_105)))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(U107_107, V108_108) & lt(V108_108, W109_109)) => lt(U107_107, W109_109)))))))) & ! [U110_110] : ((ssItem(U110_110) => ! [V111_111] : ((ssItem(V111_111) => (gt(U110_110, V111_111) <=> lt(V111_111, U110_110)))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), U112_112) <=> (memberP(V113_113, U112_112) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), U115_115) <=> (=(U115_115, V116_116) | memberP(W117_117, U115_115))))))))) & ! [U118_118] : ((ssItem(U118_118) => ~memberP(nil, U118_118))) & ~singletonP(nil) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(U119_119, W121_121)))))))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(U122_122, V123_123) & frontsegP(V123_123, U122_122)) => =(U122_122, V123_123)))))) & ! [U124_124] : ((ssList(U124_124) => frontsegP(U124_124, U124_124))) & ! [U125_125] : ((ssList(U125_125) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(U125_125, V126_126) => frontsegP(app(U125_125, W127_127), V126_126)))))))) & ! [U128_128] : ((ssItem(U128_128) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(U128_128, W130_130), cons(V129_129, X131_131)) <=> (=(U128_128, V129_129) & frontsegP(W130_130, X131_131))))))))))) & ! [U132_132] : ((ssList(U132_132) => frontsegP(U132_132, nil))) & ! [U133_133] : ((ssList(U133_133) => (frontsegP(nil, U133_133) <=> =(nil, U133_133)))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(U134_134, W136_136)))))))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(U137_137, V138_138) & rearsegP(V138_138, U137_137)) => =(U137_137, V138_138)))))) & ! [U139_139] : ((ssList(U139_139) => rearsegP(U139_139, U139_139))) & ! [U140_140] : ((ssList(U140_140) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(U140_140, V141_141) => rearsegP(app(W142_142, U140_140), V141_141)))))))) & ! [U143_143] : ((ssList(U143_143) => rearsegP(U143_143, nil))) & ! [U144_144] : ((ssList(U144_144) => (rearsegP(nil, U144_144) <=> =(nil, U144_144)))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, W147_147)) => segmentP(U145_145, W147_147)))))))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(U148_148, V149_149) & segmentP(V149_149, U148_148)) => =(U148_148, V149_149)))))) & ! [U150_150] : ((ssList(U150_150) => segmentP(U150_150, U150_150))) & ! [U151_151] : ((ssList(U151_151) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(U151_151, V152_152) => segmentP(app(app(W153_153, U151_151), X154_154), V152_152)))))))))) & ! [U155_155] : ((ssList(U155_155) => segmentP(U155_155, nil))) & ! [U156_156] : ((ssList(U156_156) => (segmentP(nil, U156_156) <=> =(nil, U156_156)))) & ! [U157_157] : ((ssItem(U157_157) => cyclefreeP(cons(U157_157, nil)))) & cyclefreeP(nil) & ! [U158_158] : ((ssItem(U158_158) => totalorderP(cons(U158_158, nil)))) & totalorderP(nil) & ! [U159_159] : ((ssItem(U159_159) => strictorderP(cons(U159_159, nil)))) & strictorderP(nil) & ! [U160_160] : ((ssItem(U160_160) => totalorderedP(cons(U160_160, nil)))) & totalorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => strictorderedP(cons(U163_163, nil)))) & strictorderedP(nil) & ! [U164_164] : ((ssItem(U164_164) => ! [V165_165] : ((ssList(V165_165) => (strictorderedP(cons(U164_164, V165_165)) <=> (=(nil, V165_165) | ((~=(nil, V165_165) & strictorderedP(V165_165)) & lt(U164_164, hd(V165_165))))))))) & ! [U166_166] : ((ssItem(U166_166) => duplicatefreeP(cons(U166_166, nil)))) & duplicatefreeP(nil) & ! [U167_167] : ((ssItem(U167_167) => equalelemsP(cons(U167_167, nil)))) & equalelemsP(nil) & ! [U168_168] : ((ssList(U168_168) => (~=(nil, U168_168) => ? [V169_169] : ((ssItem(V169_169) & =(hd(U168_168), V169_169)))))) & ! [U170_170] : ((ssList(U170_170) => (~=(nil, U170_170) => ? [V171_171] : ((ssList(V171_171) & =(tl(U170_170), V171_171)))))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ((((~=(nil, V173_173) & ~=(nil, U172_172)) & =(hd(V173_173), hd(U172_172))) & =(tl(V173_173), tl(U172_172))) => =(V173_173, U172_172)))))) & ! [U174_174] : ((ssList(U174_174) => (~=(nil, U174_174) => =(cons(hd(U174_174), tl(U174_174)), U174_174)))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(W177_177, V176_176), app(U175_175, V176_176)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssList(V179_179) => ! [W180_180] : ((ssList(W180_180) => (=(app(V179_179, W180_180), app(V179_179, U178_178)) => =(W180_180, U178_178)))))))) & ! [U181_181] : ((ssList(U181_181) => ! [V182_182] : ((ssItem(V182_182) => =(cons(V182_182, U181_181), app(cons(V182_182, nil), U181_181)))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => ! [W185_185] : ((ssList(W185_185) => =(app(app(U183_183, V184_184), W185_185), app(U183_183, app(V184_184, W185_185))))))))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (=(nil, app(U186_186, V187_187)) <=> (=(nil, V187_187) & =(nil, U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => =(app(U188_188, nil), U188_188))) & ! [U189_189] : ((ssList(U189_189) => ! [V190_190] : ((ssList(V190_190) => (~=(nil, U189_189) => =(hd(app(U189_189, V190_190)), hd(U189_189))))))) & ! [U191_191] : ((ssList(U191_191) => ! [V192_192] : ((ssList(V192_192) => (~=(nil, U191_191) => =(tl(app(U191_191, V192_192)), app(tl(U191_191), V192_192))))))) & ! [U193_193] : ((ssItem(U193_193) => ! [V194_194] : ((ssItem(V194_194) => ((geq(U193_193, V194_194) & geq(V194_194, U193_193)) => =(U193_193, V194_194)))))) & ! [U195_195] : ((ssItem(U195_195) => ! [V196_196] : ((ssItem(V196_196) => ! [W197_197] : ((ssItem(W197_197) => ((geq(U195_195, V196_196) & geq(V196_196, W197_197)) => geq(U195_195, W197_197)))))))) & ! [U198_198] : ((ssItem(U198_198) => geq(U198_198, U198_198))) & ! [U199_199] : ((ssItem(U199_199) => ~lt(U199_199, U199_199))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => ! [W202_202] : ((ssItem(W202_202) => ((leq(U200_200, V201_201) & lt(V201_201, W202_202)) => lt(U200_200, W202_202)))))))) & ! [U203_203] : ((ssItem(U203_203) => ! [V204_204] : ((ssItem(V204_204) => (leq(U203_203, V204_204) => (=(U203_203, V204_204) | lt(U203_203, V204_204))))))) & ! [U205_205] : ((ssItem(U205_205) => ! [V206_206] : ((ssItem(V206_206) => (lt(U205_205, V206_206) <=> (~=(U205_205, V206_206) & leq(U205_205, V206_206))))))) & ! [U207_207] : ((ssItem(U207_207) => ! [V208_208] : ((ssItem(V208_208) => (gt(U207_207, V208_208) => ~gt(V208_208, U207_207)))))) & ! [U209_209] : ((ssItem(U209_209) => ! [V210_210] : ((ssItem(V210_210) => ! [W211_211] : ((ssItem(W211_211) => ((gt(U209_209, V210_210) & gt(V210_210, W211_211)) => gt(U209_209, W211_211))))))))), ~! [U212_212] : ((ssList(U212_212) => ! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(U212_212, W214_214)) | strictorderedP(U212_212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))))))
% 164.23/29.54
% 164.23/29.54 [1] ALPHA_AND : (! [U9_9] : ((ssItem(U9_9) => ! [V10_10] : ((ssItem(V10_10) => (neq(U9_9, V10_10) <=> ~=(U9_9, V10_10)))))) & ? [U11_11] : ((ssItem(U11_11) & ? [V12_12] : ((ssItem(V12_12) & ~=(U11_11, V12_12))))) & ! [U13_13] : ((ssList(U13_13) => ! [V14_14] : ((ssItem(V14_14) => (memberP(U13_13, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), U13_13)))))))))) & ! [U17_17] : ((ssList(U17_17) => (singletonP(U17_17) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), U17_17)))))) & ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), U19_19)))))))) & ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), U22_22)))))))) & ! [U25_25] : ((ssList(U25_25) => ! [V26_26] : ((ssList(V26_26) => (segmentP(U25_25, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), U25_25)))))))))) & ! [U29_29] : ((ssList(U29_29) => (cyclefreeP(U29_29) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), U29_29) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))) & ! [U35_35] : ((ssList(U35_35) => (totalorderP(U35_35) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), U35_35) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))) & ! [U41_41] : ((ssList(U41_41) => (strictorderP(U41_41) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), U41_41) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))) & ! [U47_47] : ((ssList(U47_47) => (totalorderedP(U47_47) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), U47_47) => leq(V48_48, W49_49))))))))))))))) & ! [U53_53] : ((ssList(U53_53) => (strictorderedP(U53_53) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), U53_53) => lt(V54_54, W55_55))))))))))))))) & ! [U59_59] : ((ssList(U59_59) => (duplicatefreeP(U59_59) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), U59_59) => ~=(V60_60, W61_61))))))))))))))) & ! [U65_65] : ((ssList(U65_65) => (equalelemsP(U65_65) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), U65_65) => =(V66_66, W67_67))))))))))))) & ! [U70_70] : ((ssList(U70_70) => ! [V71_71] : ((ssList(V71_71) => (neq(U70_70, V71_71) <=> ~=(U70_70, V71_71)))))) & ! [U72_72] : ((ssList(U72_72) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, U72_72)))))) & ssList(nil) & ! [U74_74] : ((ssList(U74_74) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, U74_74), U74_74))))) & ! [U76_76] : ((ssList(U76_76) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, U76_76), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, U76_76))))))))))) & ! [U80_80] : ((ssList(U80_80) => (=(nil, U80_80) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), U80_80)))))))) & ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, U83_83)))))) & ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssItem(hd(U85_85))))) & ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, U86_86)), V87_87))))) & ! [U88_88] : ((ssList(U88_88) => (~=(nil, U88_88) => ssList(tl(U88_88))))) & ! [U89_89] : ((ssList(U89_89) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, U89_89)), U89_89))))) & ! [U91_91] : ((ssList(U91_91) => ! [V92_92] : ((ssList(V92_92) => ssList(app(U91_91, V92_92)))))) & ! [U93_93] : ((ssList(U93_93) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, U93_93)), app(cons(W95_95, V94_94), U93_93)))))))) & ! [U96_96] : ((ssList(U96_96) => =(app(nil, U96_96), U96_96))) & ! [U97_97] : ((ssItem(U97_97) => ! [V98_98] : ((ssItem(V98_98) => ((leq(U97_97, V98_98) & leq(V98_98, U97_97)) => =(U97_97, V98_98)))))) & ! [U99_99] : ((ssItem(U99_99) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(U99_99, V100_100) & leq(V100_100, W101_101)) => leq(U99_99, W101_101)))))))) & ! [U102_102] : ((ssItem(U102_102) => leq(U102_102, U102_102))) & ! [U103_103] : ((ssItem(U103_103) => ! [V104_104] : ((ssItem(V104_104) => (geq(U103_103, V104_104) <=> leq(V104_104, U103_103)))))) & ! [U105_105] : ((ssItem(U105_105) => ! [V106_106] : ((ssItem(V106_106) => (lt(U105_105, V106_106) => ~lt(V106_106, U105_105)))))) & ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(U107_107, V108_108) & lt(V108_108, W109_109)) => lt(U107_107, W109_109)))))))) & ! [U110_110] : ((ssItem(U110_110) => ! [V111_111] : ((ssItem(V111_111) => (gt(U110_110, V111_111) <=> lt(V111_111, U110_110)))))) & ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), U112_112) <=> (memberP(V113_113, U112_112) | memberP(W114_114, U112_112))))))))) & ! [U115_115] : ((ssItem(U115_115) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), U115_115) <=> (=(U115_115, V116_116) | memberP(W117_117, U115_115))))))))) & ! [U118_118] : ((ssItem(U118_118) => ~memberP(nil, U118_118))) & ~singletonP(nil) & ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(U119_119, W121_121)))))))) & ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(U122_122, V123_123) & frontsegP(V123_123, U122_122)) => =(U122_122, V123_123)))))) & ! [U124_124] : ((ssList(U124_124) => frontsegP(U124_124, U124_124))) & ! [U125_125] : ((ssList(U125_125) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(U125_125, V126_126) => frontsegP(app(U125_125, W127_127), V126_126)))))))) & ! [U128_128] : ((ssItem(U128_128) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(U128_128, W130_130), cons(V129_129, X131_131)) <=> (=(U128_128, V129_129) & frontsegP(W130_130, X131_131))))))))))) & ! [U132_132] : ((ssList(U132_132) => frontsegP(U132_132, nil))) & ! [U133_133] : ((ssList(U133_133) => (frontsegP(nil, U133_133) <=> =(nil, U133_133)))) & ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(U134_134, W136_136)))))))) & ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(U137_137, V138_138) & rearsegP(V138_138, U137_137)) => =(U137_137, V138_138)))))) & ! [U139_139] : ((ssList(U139_139) => rearsegP(U139_139, U139_139))) & ! [U140_140] : ((ssList(U140_140) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(U140_140, V141_141) => rearsegP(app(W142_142, U140_140), V141_141)))))))) & ! [U143_143] : ((ssList(U143_143) => rearsegP(U143_143, nil))) & ! [U144_144] : ((ssList(U144_144) => (rearsegP(nil, U144_144) <=> =(nil, U144_144)))) & ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, W147_147)) => segmentP(U145_145, W147_147)))))))) & ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(U148_148, V149_149) & segmentP(V149_149, U148_148)) => =(U148_148, V149_149)))))) & ! [U150_150] : ((ssList(U150_150) => segmentP(U150_150, U150_150))) & ! [U151_151] : ((ssList(U151_151) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(U151_151, V152_152) => segmentP(app(app(W153_153, U151_151), X154_154), V152_152)))))))))) & ! [U155_155] : ((ssList(U155_155) => segmentP(U155_155, nil))) & ! [U156_156] : ((ssList(U156_156) => (segmentP(nil, U156_156) <=> =(nil, U156_156)))) & ! [U157_157] : ((ssItem(U157_157) => cyclefreeP(cons(U157_157, nil)))) & cyclefreeP(nil) & ! [U158_158] : ((ssItem(U158_158) => totalorderP(cons(U158_158, nil)))) & totalorderP(nil) & ! [U159_159] : ((ssItem(U159_159) => strictorderP(cons(U159_159, nil)))) & strictorderP(nil) & ! [U160_160] : ((ssItem(U160_160) => totalorderedP(cons(U160_160, nil)))) & totalorderedP(nil) & ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(U161_161, hd(V162_162))))))))) & ! [U163_163] : ((ssItem(U163_163) => strictorderedP(cons(U163_163, nil)))) & strictorderedP(nil) & ! [U164_164] : ((ssItem(U164_164) => ! [V165_165] : ((ssList(V165_165) => (strictorderedP(cons(U164_164, V165_165)) <=> (=(nil, V165_165) | ((~=(nil, V165_165) & strictorderedP(V165_165)) & lt(U164_164, hd(V165_165))))))))) & ! [U166_166] : ((ssItem(U166_166) => duplicatefreeP(cons(U166_166, nil)))) & duplicatefreeP(nil) & ! [U167_167] : ((ssItem(U167_167) => equalelemsP(cons(U167_167, nil)))) & equalelemsP(nil) & ! [U168_168] : ((ssList(U168_168) => (~=(nil, U168_168) => ? [V169_169] : ((ssItem(V169_169) & =(hd(U168_168), V169_169)))))) & ! [U170_170] : ((ssList(U170_170) => (~=(nil, U170_170) => ? [V171_171] : ((ssList(V171_171) & =(tl(U170_170), V171_171)))))) & ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ((((~=(nil, V173_173) & ~=(nil, U172_172)) & =(hd(V173_173), hd(U172_172))) & =(tl(V173_173), tl(U172_172))) => =(V173_173, U172_172)))))) & ! [U174_174] : ((ssList(U174_174) => (~=(nil, U174_174) => =(cons(hd(U174_174), tl(U174_174)), U174_174)))) & ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(W177_177, V176_176), app(U175_175, V176_176)) => =(W177_177, U175_175)))))))) & ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssList(V179_179) => ! [W180_180] : ((ssList(W180_180) => (=(app(V179_179, W180_180), app(V179_179, U178_178)) => =(W180_180, U178_178)))))))) & ! [U181_181] : ((ssList(U181_181) => ! [V182_182] : ((ssItem(V182_182) => =(cons(V182_182, U181_181), app(cons(V182_182, nil), U181_181)))))) & ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => ! [W185_185] : ((ssList(W185_185) => =(app(app(U183_183, V184_184), W185_185), app(U183_183, app(V184_184, W185_185))))))))) & ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (=(nil, app(U186_186, V187_187)) <=> (=(nil, V187_187) & =(nil, U186_186))))))) & ! [U188_188] : ((ssList(U188_188) => =(app(U188_188, nil), U188_188))) & ! [U189_189] : ((ssList(U189_189) => ! [V190_190] : ((ssList(V190_190) => (~=(nil, U189_189) => =(hd(app(U189_189, V190_190)), hd(U189_189))))))) & ! [U191_191] : ((ssList(U191_191) => ! [V192_192] : ((ssList(V192_192) => (~=(nil, U191_191) => =(tl(app(U191_191, V192_192)), app(tl(U191_191), V192_192))))))) & ! [U193_193] : ((ssItem(U193_193) => ! [V194_194] : ((ssItem(V194_194) => ((geq(U193_193, V194_194) & geq(V194_194, U193_193)) => =(U193_193, V194_194)))))) & ! [U195_195] : ((ssItem(U195_195) => ! [V196_196] : ((ssItem(V196_196) => ! [W197_197] : ((ssItem(W197_197) => ((geq(U195_195, V196_196) & geq(V196_196, W197_197)) => geq(U195_195, W197_197)))))))) & ! [U198_198] : ((ssItem(U198_198) => geq(U198_198, U198_198))) & ! [U199_199] : ((ssItem(U199_199) => ~lt(U199_199, U199_199))) & ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => ! [W202_202] : ((ssItem(W202_202) => ((leq(U200_200, V201_201) & lt(V201_201, W202_202)) => lt(U200_200, W202_202)))))))) & ! [U203_203] : ((ssItem(U203_203) => ! [V204_204] : ((ssItem(V204_204) => (leq(U203_203, V204_204) => (=(U203_203, V204_204) | lt(U203_203, V204_204))))))) & ! [U205_205] : ((ssItem(U205_205) => ! [V206_206] : ((ssItem(V206_206) => (lt(U205_205, V206_206) <=> (~=(U205_205, V206_206) & leq(U205_205, V206_206))))))) & ! [U207_207] : ((ssItem(U207_207) => ! [V208_208] : ((ssItem(V208_208) => (gt(U207_207, V208_208) => ~gt(V208_208, U207_207)))))) & ! [U209_209] : ((ssItem(U209_209) => ! [V210_210] : ((ssItem(V210_210) => ! [W211_211] : ((ssItem(W211_211) => ((gt(U209_209, V210_210) & gt(V210_210, W211_211)) => gt(U209_209, W211_211)))))))))
% 164.23/29.54 -> [2] ! [U9_9] : ((ssItem(U9_9) => ! [V10_10] : ((ssItem(V10_10) => (neq(U9_9, V10_10) <=> ~=(U9_9, V10_10)))))), ? [U11_11] : ((ssItem(U11_11) & ? [V12_12] : ((ssItem(V12_12) & ~=(U11_11, V12_12))))), ! [U13_13] : ((ssList(U13_13) => ! [V14_14] : ((ssItem(V14_14) => (memberP(U13_13, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), U13_13)))))))))), ! [U17_17] : ((ssList(U17_17) => (singletonP(U17_17) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), U17_17)))))), ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), U19_19)))))))), ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), U22_22)))))))), ! [U25_25] : ((ssList(U25_25) => ! [V26_26] : ((ssList(V26_26) => (segmentP(U25_25, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), U25_25)))))))))), ! [U29_29] : ((ssList(U29_29) => (cyclefreeP(U29_29) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), U29_29) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))), ! [U35_35] : ((ssList(U35_35) => (totalorderP(U35_35) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), U35_35) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))), ! [U41_41] : ((ssList(U41_41) => (strictorderP(U41_41) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), U41_41) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))), ! [U47_47] : ((ssList(U47_47) => (totalorderedP(U47_47) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), U47_47) => leq(V48_48, W49_49))))))))))))))), ! [U53_53] : ((ssList(U53_53) => (strictorderedP(U53_53) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), U53_53) => lt(V54_54, W55_55))))))))))))))), ! [U59_59] : ((ssList(U59_59) => (duplicatefreeP(U59_59) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), U59_59) => ~=(V60_60, W61_61))))))))))))))), ! [U65_65] : ((ssList(U65_65) => (equalelemsP(U65_65) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), U65_65) => =(V66_66, W67_67))))))))))))), ! [U70_70] : ((ssList(U70_70) => ! [V71_71] : ((ssList(V71_71) => (neq(U70_70, V71_71) <=> ~=(U70_70, V71_71)))))), ! [U72_72] : ((ssList(U72_72) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, U72_72)))))), ssList(nil), ! [U74_74] : ((ssList(U74_74) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, U74_74), U74_74))))), ! [U76_76] : ((ssList(U76_76) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, U76_76), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, U76_76))))))))))), ! [U80_80] : ((ssList(U80_80) => (=(nil, U80_80) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), U80_80)))))))), ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, U83_83)))))), ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssItem(hd(U85_85))))), ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, U86_86)), V87_87))))), ! [U88_88] : ((ssList(U88_88) => (~=(nil, U88_88) => ssList(tl(U88_88))))), ! [U89_89] : ((ssList(U89_89) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, U89_89)), U89_89))))), ! [U91_91] : ((ssList(U91_91) => ! [V92_92] : ((ssList(V92_92) => ssList(app(U91_91, V92_92)))))), ! [U93_93] : ((ssList(U93_93) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, U93_93)), app(cons(W95_95, V94_94), U93_93)))))))), ! [U96_96] : ((ssList(U96_96) => =(app(nil, U96_96), U96_96))), ! [U97_97] : ((ssItem(U97_97) => ! [V98_98] : ((ssItem(V98_98) => ((leq(U97_97, V98_98) & leq(V98_98, U97_97)) => =(U97_97, V98_98)))))), ! [U99_99] : ((ssItem(U99_99) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(U99_99, V100_100) & leq(V100_100, W101_101)) => leq(U99_99, W101_101)))))))), ! [U102_102] : ((ssItem(U102_102) => leq(U102_102, U102_102))), ! [U103_103] : ((ssItem(U103_103) => ! [V104_104] : ((ssItem(V104_104) => (geq(U103_103, V104_104) <=> leq(V104_104, U103_103)))))), ! [U105_105] : ((ssItem(U105_105) => ! [V106_106] : ((ssItem(V106_106) => (lt(U105_105, V106_106) => ~lt(V106_106, U105_105)))))), ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(U107_107, V108_108) & lt(V108_108, W109_109)) => lt(U107_107, W109_109)))))))), ! [U110_110] : ((ssItem(U110_110) => ! [V111_111] : ((ssItem(V111_111) => (gt(U110_110, V111_111) <=> lt(V111_111, U110_110)))))), ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), U112_112) <=> (memberP(V113_113, U112_112) | memberP(W114_114, U112_112))))))))), ! [U115_115] : ((ssItem(U115_115) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), U115_115) <=> (=(U115_115, V116_116) | memberP(W117_117, U115_115))))))))), ! [U118_118] : ((ssItem(U118_118) => ~memberP(nil, U118_118))), ~singletonP(nil), ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(U119_119, W121_121)))))))), ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(U122_122, V123_123) & frontsegP(V123_123, U122_122)) => =(U122_122, V123_123)))))), ! [U124_124] : ((ssList(U124_124) => frontsegP(U124_124, U124_124))), ! [U125_125] : ((ssList(U125_125) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(U125_125, V126_126) => frontsegP(app(U125_125, W127_127), V126_126)))))))), ! [U128_128] : ((ssItem(U128_128) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(U128_128, W130_130), cons(V129_129, X131_131)) <=> (=(U128_128, V129_129) & frontsegP(W130_130, X131_131))))))))))), ! [U132_132] : ((ssList(U132_132) => frontsegP(U132_132, nil))), ! [U133_133] : ((ssList(U133_133) => (frontsegP(nil, U133_133) <=> =(nil, U133_133)))), ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(U134_134, W136_136)))))))), ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(U137_137, V138_138) & rearsegP(V138_138, U137_137)) => =(U137_137, V138_138)))))), ! [U139_139] : ((ssList(U139_139) => rearsegP(U139_139, U139_139))), ! [U140_140] : ((ssList(U140_140) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(U140_140, V141_141) => rearsegP(app(W142_142, U140_140), V141_141)))))))), ! [U143_143] : ((ssList(U143_143) => rearsegP(U143_143, nil))), ! [U144_144] : ((ssList(U144_144) => (rearsegP(nil, U144_144) <=> =(nil, U144_144)))), ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, W147_147)) => segmentP(U145_145, W147_147)))))))), ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(U148_148, V149_149) & segmentP(V149_149, U148_148)) => =(U148_148, V149_149)))))), ! [U150_150] : ((ssList(U150_150) => segmentP(U150_150, U150_150))), ! [U151_151] : ((ssList(U151_151) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(U151_151, V152_152) => segmentP(app(app(W153_153, U151_151), X154_154), V152_152)))))))))), ! [U155_155] : ((ssList(U155_155) => segmentP(U155_155, nil))), ! [U156_156] : ((ssList(U156_156) => (segmentP(nil, U156_156) <=> =(nil, U156_156)))), ! [U157_157] : ((ssItem(U157_157) => cyclefreeP(cons(U157_157, nil)))), cyclefreeP(nil), ! [U158_158] : ((ssItem(U158_158) => totalorderP(cons(U158_158, nil)))), totalorderP(nil), ! [U159_159] : ((ssItem(U159_159) => strictorderP(cons(U159_159, nil)))), strictorderP(nil), ! [U160_160] : ((ssItem(U160_160) => totalorderedP(cons(U160_160, nil)))), totalorderedP(nil), ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(U161_161, hd(V162_162))))))))), ! [U163_163] : ((ssItem(U163_163) => strictorderedP(cons(U163_163, nil)))), strictorderedP(nil), ! [U164_164] : ((ssItem(U164_164) => ! [V165_165] : ((ssList(V165_165) => (strictorderedP(cons(U164_164, V165_165)) <=> (=(nil, V165_165) | ((~=(nil, V165_165) & strictorderedP(V165_165)) & lt(U164_164, hd(V165_165))))))))), ! [U166_166] : ((ssItem(U166_166) => duplicatefreeP(cons(U166_166, nil)))), duplicatefreeP(nil), ! [U167_167] : ((ssItem(U167_167) => equalelemsP(cons(U167_167, nil)))), equalelemsP(nil), ! [U168_168] : ((ssList(U168_168) => (~=(nil, U168_168) => ? [V169_169] : ((ssItem(V169_169) & =(hd(U168_168), V169_169)))))), ! [U170_170] : ((ssList(U170_170) => (~=(nil, U170_170) => ? [V171_171] : ((ssList(V171_171) & =(tl(U170_170), V171_171)))))), ! [U172_172] : ((ssList(U172_172) => ! [V173_173] : ((ssList(V173_173) => ((((~=(nil, V173_173) & ~=(nil, U172_172)) & =(hd(V173_173), hd(U172_172))) & =(tl(V173_173), tl(U172_172))) => =(V173_173, U172_172)))))), ! [U174_174] : ((ssList(U174_174) => (~=(nil, U174_174) => =(cons(hd(U174_174), tl(U174_174)), U174_174)))), ! [U175_175] : ((ssList(U175_175) => ! [V176_176] : ((ssList(V176_176) => ! [W177_177] : ((ssList(W177_177) => (=(app(W177_177, V176_176), app(U175_175, V176_176)) => =(W177_177, U175_175)))))))), ! [U178_178] : ((ssList(U178_178) => ! [V179_179] : ((ssList(V179_179) => ! [W180_180] : ((ssList(W180_180) => (=(app(V179_179, W180_180), app(V179_179, U178_178)) => =(W180_180, U178_178)))))))), ! [U181_181] : ((ssList(U181_181) => ! [V182_182] : ((ssItem(V182_182) => =(cons(V182_182, U181_181), app(cons(V182_182, nil), U181_181)))))), ! [U183_183] : ((ssList(U183_183) => ! [V184_184] : ((ssList(V184_184) => ! [W185_185] : ((ssList(W185_185) => =(app(app(U183_183, V184_184), W185_185), app(U183_183, app(V184_184, W185_185))))))))), ! [U186_186] : ((ssList(U186_186) => ! [V187_187] : ((ssList(V187_187) => (=(nil, app(U186_186, V187_187)) <=> (=(nil, V187_187) & =(nil, U186_186))))))), ! [U188_188] : ((ssList(U188_188) => =(app(U188_188, nil), U188_188))), ! [U189_189] : ((ssList(U189_189) => ! [V190_190] : ((ssList(V190_190) => (~=(nil, U189_189) => =(hd(app(U189_189, V190_190)), hd(U189_189))))))), ! [U191_191] : ((ssList(U191_191) => ! [V192_192] : ((ssList(V192_192) => (~=(nil, U191_191) => =(tl(app(U191_191, V192_192)), app(tl(U191_191), V192_192))))))), ! [U193_193] : ((ssItem(U193_193) => ! [V194_194] : ((ssItem(V194_194) => ((geq(U193_193, V194_194) & geq(V194_194, U193_193)) => =(U193_193, V194_194)))))), ! [U195_195] : ((ssItem(U195_195) => ! [V196_196] : ((ssItem(V196_196) => ! [W197_197] : ((ssItem(W197_197) => ((geq(U195_195, V196_196) & geq(V196_196, W197_197)) => geq(U195_195, W197_197)))))))), ! [U198_198] : ((ssItem(U198_198) => geq(U198_198, U198_198))), ! [U199_199] : ((ssItem(U199_199) => ~lt(U199_199, U199_199))), ! [U200_200] : ((ssItem(U200_200) => ! [V201_201] : ((ssItem(V201_201) => ! [W202_202] : ((ssItem(W202_202) => ((leq(U200_200, V201_201) & lt(V201_201, W202_202)) => lt(U200_200, W202_202)))))))), ! [U203_203] : ((ssItem(U203_203) => ! [V204_204] : ((ssItem(V204_204) => (leq(U203_203, V204_204) => (=(U203_203, V204_204) | lt(U203_203, V204_204))))))), ! [U205_205] : ((ssItem(U205_205) => ! [V206_206] : ((ssItem(V206_206) => (lt(U205_205, V206_206) <=> (~=(U205_205, V206_206) & leq(U205_205, V206_206))))))), ! [U207_207] : ((ssItem(U207_207) => ! [V208_208] : ((ssItem(V208_208) => (gt(U207_207, V208_208) => ~gt(V208_208, U207_207)))))), ! [U209_209] : ((ssItem(U209_209) => ! [V210_210] : ((ssItem(V210_210) => ! [W211_211] : ((ssItem(W211_211) => ((gt(U209_209, V210_210) & gt(V210_210, W211_211)) => gt(U209_209, W211_211))))))))
% 164.23/29.54
% 164.23/29.54 [2] DELTA_NOT_FORALL : ~! [U212_212] : ((ssList(U212_212) => ! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(U212_212, W214_214)) | strictorderedP(U212_212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))))))
% 164.23/29.54 -> [3] ~(ssList(skolem_U212212) => ! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214))))))))))
% 164.23/29.54
% 164.23/29.54 [3] ALPHA_NOT_IMPLY : ~(ssList(skolem_U212212) => ! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214))))))))))
% 164.23/29.54 -> [4] ssList(skolem_U212212), ~! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))))
% 164.23/29.54
% 164.23/29.54 [4] DELTA_EXISTS : ? [U11_11] : ((ssItem(U11_11) & ? [V12_12] : ((ssItem(V12_12) & ~=(U11_11, V12_12)))))
% 164.23/29.54 -> [5] (ssItem(skolem_U1111) & ? [V12_12] : ((ssItem(V12_12) & ~=(skolem_U1111, V12_12))))
% 164.23/29.54
% 164.23/29.54 [5] ALPHA_AND : (ssItem(skolem_U1111) & ? [V12_12] : ((ssItem(V12_12) & ~=(skolem_U1111, V12_12))))
% 164.23/29.54 -> [6] ssItem(skolem_U1111), ? [V12_12] : ((ssItem(V12_12) & ~=(skolem_U1111, V12_12)))
% 164.23/29.54
% 164.23/29.54 [6] DELTA_NOT_FORALL : ~! [V213_213] : ((ssList(V213_213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(V213_213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))))
% 164.23/29.54 -> [7] ~(ssList(skolem_V213213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214))))))))
% 164.23/29.54
% 164.23/29.54 [7] ALPHA_NOT_IMPLY : ~(ssList(skolem_V213213) => ! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214))))))))
% 164.23/29.54 -> [8] ssList(skolem_V213213), ~! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))
% 164.23/29.54
% 164.23/29.54 [8] DELTA_EXISTS : ? [V12_12] : ((ssItem(V12_12) & ~=(skolem_U1111, V12_12)))
% 164.23/29.54 -> [9] (ssItem(skolem_V1212) & ~=(skolem_U1111, skolem_V1212))
% 164.23/29.54
% 164.23/29.54 [9] ALPHA_AND : (ssItem(skolem_V1212) & ~=(skolem_U1111, skolem_V1212))
% 164.23/29.54 -> [10] ssItem(skolem_V1212), ~=(skolem_U1111, skolem_V1212)
% 164.23/29.54
% 164.23/29.54 [10] DELTA_NOT_FORALL : ~! [W214_214] : ((ssList(W214_214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, W214_214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), W214_214)) | ~=(app(app(Z217_217, W214_214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, W214_214)))))))
% 164.23/29.54 -> [11] ~(ssList(skolem_W214214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, skolem_W214214))))))
% 164.23/29.54
% 164.23/29.54 [11] ALPHA_NOT_IMPLY : ~(ssList(skolem_W214214) => ! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, skolem_W214214))))))
% 164.23/29.54 -> [12] ssList(skolem_W214214), ~! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, skolem_W214214)))))
% 164.23/29.54
% 164.23/29.54 [12] DELTA_NOT_FORALL : ~! [X215_215] : (((((~ssList(X215_215) | ~=(skolem_V213213, X215_215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), X215_215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, X215_215) | ~=(nil, skolem_W214214)))))
% 164.23/29.54 -> [13] ~((((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, skolem_X215215) | ~=(nil, skolem_W214214))))
% 164.23/29.54
% 164.23/29.54 [13] ALPHA_NOT_OR : ~((((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)) | (! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, skolem_X215215) | ~=(nil, skolem_W214214))))
% 164.23/29.54 -> [14] ~(((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212)), ~(! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, skolem_X215215) | ~=(nil, skolem_W214214)))
% 164.23/29.54
% 164.23/29.54 [14] ALPHA_NOT_OR : ~(((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214)) | strictorderedP(skolem_U212212))
% 164.23/29.54 -> [15] ~((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214)), ~strictorderedP(skolem_U212212)
% 164.23/29.54
% 164.23/29.54 [15] ALPHA_NOT_OR : ~((~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)) | ~=(skolem_U212212, skolem_W214214))
% 164.23/29.54 -> [16] ~(~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215)), ~~=(skolem_U212212, skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [16] ALPHA_NOT_OR : ~(~ssList(skolem_X215215) | ~=(skolem_V213213, skolem_X215215))
% 164.23/29.54 -> [17] ~~ssList(skolem_X215215), ~~=(skolem_V213213, skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [17] ALPHA_NOT_NOT : ~~=(skolem_U212212, skolem_W214214)
% 164.23/29.54 -> [18] =(skolem_U212212, skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [18] ALPHA_NOT_NOT : ~~ssList(skolem_X215215)
% 164.23/29.54 -> [19] ssList(skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [19] ALPHA_NOT_NOT : ~~=(skolem_V213213, skolem_X215215)
% 164.23/29.54 -> [20] =(skolem_V213213, skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [20] BETA_NOT_AND : ~(! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216))))))))) & (~=(nil, skolem_X215215) | ~=(nil, skolem_W214214)))
% 164.23/29.54 -> [21] ~! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216)))))))))
% 164.23/29.54 -> [22] ~(~=(nil, skolem_X215215) | ~=(nil, skolem_W214214))
% 164.23/29.54
% 164.23/29.54 [22] ALPHA_NOT_OR : ~(~=(nil, skolem_X215215) | ~=(nil, skolem_W214214))
% 164.23/29.54 -> [24] ~~=(nil, skolem_X215215), ~~=(nil, skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [24] ALPHA_NOT_NOT : ~~=(nil, skolem_X215215)
% 164.23/29.54 -> [25] =(nil, skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [25] ALPHA_NOT_NOT : ~~=(nil, skolem_W214214)
% 164.23/29.54 -> [29] =(nil, skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [29] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [21] DELTA_NOT_FORALL : ~! [Y216_216] : ((ssItem(Y216_216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(Y216_216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(Y216_216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, Y216_216)))))))))
% 164.23/29.54 -> [23] ~(ssItem(skolem_Y216216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216))))))))
% 164.23/29.54
% 164.23/29.54 [23] ALPHA_NOT_IMPLY : ~(ssItem(skolem_Y216216) => ! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216))))))))
% 164.23/29.54 -> [26] ssItem(skolem_Y216216), ~! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216)))))))
% 164.23/29.54
% 164.23/29.54 [26] DELTA_NOT_FORALL : ~! [Z217_217] : ((ssList(Z217_217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(Z217_217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(Z217_217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216)))))))
% 164.23/29.54 -> [27] ~(ssList(skolem_Z217217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216))))))
% 164.23/29.54
% 164.23/29.54 [27] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z217217) => ! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216))))))
% 164.23/29.54 -> [28] ssList(skolem_Z217217), ~! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216)))))
% 164.23/29.54
% 164.23/29.54 [28] DELTA_NOT_FORALL : ~! [X1218_218] : (((((~ssList(X1218_218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), X1218_218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(X1218_218, X3220_220)) & lt(X3220_220, skolem_Y216216)))))
% 164.23/29.54 -> [30] ~((((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(skolem_X1218218, X3220_220)) & lt(X3220_220, skolem_Y216216))))
% 164.23/29.54
% 164.23/29.54 [30] ALPHA_NOT_OR : ~((((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))) | ? [X3220_220] : (((ssItem(X3220_220) & memberP(skolem_X1218218, X3220_220)) & lt(X3220_220, skolem_Y216216))))
% 164.23/29.54 -> [31] ~(((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))), ~? [X3220_220] : (((ssItem(X3220_220) & memberP(skolem_X1218218, X3220_220)) & lt(X3220_220, skolem_Y216216)))
% 164.23/29.54
% 164.23/29.54 [31] ALPHA_NOT_OR : ~(((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)) | ? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219))))
% 164.23/29.54 -> [32] ~((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)), ~? [X2219_219] : (((ssItem(X2219_219) & memberP(skolem_Z217217, X2219_219)) & lt(skolem_Y216216, X2219_219)))
% 164.23/29.54
% 164.23/29.54 [32] ALPHA_NOT_OR : ~((~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)) | ~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215))
% 164.23/29.54 -> [33] ~(~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214)), ~~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [33] ALPHA_NOT_OR : ~(~ssList(skolem_X1218218) | ~=(cons(skolem_Y216216, nil), skolem_W214214))
% 164.23/29.54 -> [34] ~~ssList(skolem_X1218218), ~~=(cons(skolem_Y216216, nil), skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [34] ALPHA_NOT_NOT : ~~=(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)
% 164.23/29.54 -> [35] =(app(app(skolem_Z217217, skolem_W214214), skolem_X1218218), skolem_X215215)
% 164.23/29.54
% 164.23/29.54 [35] ALPHA_NOT_NOT : ~~ssList(skolem_X1218218)
% 164.23/29.54 -> [36] ssList(skolem_X1218218)
% 164.23/29.54
% 164.23/29.54 [36] ALPHA_NOT_NOT : ~~=(cons(skolem_Y216216, nil), skolem_W214214)
% 164.23/29.54 -> [37] =(cons(skolem_Y216216, nil), skolem_W214214)
% 164.23/29.54
% 164.23/29.54 [37] GAMMA_FORALL : ! [U9_9] : ((ssItem(U9_9) => ! [V10_10] : ((ssItem(V10_10) => (neq(U9_9, V10_10) <=> ~=(U9_9, V10_10))))))
% 164.23/29.54 -> [38] (ssItem(skolem_Y216216) => ! [V10_10] : ((ssItem(V10_10) => (neq(skolem_Y216216, V10_10) <=> ~=(skolem_Y216216, V10_10)))))
% 164.23/29.54
% 164.23/29.54 [38] BETA_IMPLY : (ssItem(skolem_Y216216) => ! [V10_10] : ((ssItem(V10_10) => (neq(skolem_Y216216, V10_10) <=> ~=(skolem_Y216216, V10_10)))))
% 164.23/29.54 -> [39] ~ssItem(skolem_Y216216)
% 164.23/29.54 -> [40] ! [V10_10] : ((ssItem(V10_10) => (neq(skolem_Y216216, V10_10) <=> ~=(skolem_Y216216, V10_10))))
% 164.23/29.54
% 164.23/29.54 [39] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [40] GAMMA_FORALL : ! [U13_13] : ((ssList(U13_13) => ! [V14_14] : ((ssItem(V14_14) => (memberP(U13_13, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), U13_13))))))))))
% 164.23/29.54 -> [41] (ssList(skolem_W214214) => ! [V14_14] : ((ssItem(V14_14) => (memberP(skolem_W214214, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), skolem_W214214)))))))))
% 164.23/29.54
% 164.23/29.54 [41] BETA_IMPLY : (ssList(skolem_W214214) => ! [V14_14] : ((ssItem(V14_14) => (memberP(skolem_W214214, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), skolem_W214214)))))))))
% 164.23/29.54 -> [42] ~ssList(skolem_W214214)
% 164.23/29.54 -> [43] ! [V14_14] : ((ssItem(V14_14) => (memberP(skolem_W214214, V14_14) <=> ? [W15_15] : ((ssList(W15_15) & ? [X16_16] : ((ssList(X16_16) & =(app(W15_15, cons(V14_14, X16_16)), skolem_W214214))))))))
% 164.23/29.54
% 164.23/29.54 [42] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [43] GAMMA_FORALL : ! [U17_17] : ((ssList(U17_17) => (singletonP(U17_17) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), U17_17))))))
% 164.23/29.54 -> [44] (ssList(nil) => (singletonP(nil) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil)))))
% 164.23/29.54
% 164.23/29.54 [44] BETA_IMPLY : (ssList(nil) => (singletonP(nil) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil)))))
% 164.23/29.54 -> [45] ~ssList(nil)
% 164.23/29.54 -> [46] (singletonP(nil) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil))))
% 164.23/29.54
% 164.23/29.54 [45] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [46] BETA_EQUIV : (singletonP(nil) <=> ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil))))
% 164.23/29.54 -> [47] ~singletonP(nil), ~? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil)))
% 164.23/29.54 -> [48] singletonP(nil), ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil)))
% 164.23/29.54
% 164.23/29.54 [48] DELTA_EXISTS : ? [V18_18] : ((ssItem(V18_18) & =(cons(V18_18, nil), nil)))
% 164.23/29.54 -> [49] (ssItem(skolem_V1818(nil)) & =(cons(skolem_V1818(nil), nil), nil))
% 164.23/29.54
% 164.23/29.54 [49] ALPHA_AND : (ssItem(skolem_V1818(nil)) & =(cons(skolem_V1818(nil), nil), nil))
% 164.23/29.54 -> [50] ssItem(skolem_V1818(nil)), =(cons(skolem_V1818(nil), nil), nil)
% 164.23/29.54
% 164.23/29.54 [50] CLOSURE : (ssItem(skolem_V1818(nil)) & =(cons(skolem_V1818(nil), nil), nil))
% 164.23/29.54
% 164.23/29.54 [47] GAMMA_FORALL : ! [U19_19] : ((ssList(U19_19) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(U19_19, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), U19_19))))))))
% 164.23/29.54 -> [51] (ssList(skolem_X215215) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(skolem_X215215, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), skolem_X215215)))))))
% 164.23/29.54
% 164.23/29.54 [51] BETA_IMPLY : (ssList(skolem_X215215) => ! [V20_20] : ((ssList(V20_20) => (frontsegP(skolem_X215215, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), skolem_X215215)))))))
% 164.23/29.54 -> [52] ~ssList(skolem_X215215)
% 164.23/29.54 -> [53] ! [V20_20] : ((ssList(V20_20) => (frontsegP(skolem_X215215, V20_20) <=> ? [W21_21] : ((ssList(W21_21) & =(app(V20_20, W21_21), skolem_X215215))))))
% 164.23/29.54
% 164.23/29.54 [52] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [53] GAMMA_FORALL : ! [U22_22] : ((ssList(U22_22) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(U22_22, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), U22_22))))))))
% 164.23/29.54 -> [54] (ssList(nil) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(nil, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), nil)))))))
% 164.23/29.54
% 164.23/29.54 [54] BETA_IMPLY : (ssList(nil) => ! [V23_23] : ((ssList(V23_23) => (rearsegP(nil, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), nil)))))))
% 164.23/29.54 -> [55] ~ssList(nil)
% 164.23/29.54 -> [56] ! [V23_23] : ((ssList(V23_23) => (rearsegP(nil, V23_23) <=> ? [W24_24] : ((ssList(W24_24) & =(app(W24_24, V23_23), nil))))))
% 164.23/29.54
% 164.23/29.54 [55] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [56] GAMMA_FORALL : ! [U25_25] : ((ssList(U25_25) => ! [V26_26] : ((ssList(V26_26) => (segmentP(U25_25, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), U25_25))))))))))
% 164.23/29.54 -> [57] (ssList(skolem_V213213) => ! [V26_26] : ((ssList(V26_26) => (segmentP(skolem_V213213, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), skolem_V213213)))))))))
% 164.23/29.54
% 164.23/29.54 [57] BETA_IMPLY : (ssList(skolem_V213213) => ! [V26_26] : ((ssList(V26_26) => (segmentP(skolem_V213213, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), skolem_V213213)))))))))
% 164.23/29.54 -> [58] ~ssList(skolem_V213213)
% 164.23/29.54 -> [59] ! [V26_26] : ((ssList(V26_26) => (segmentP(skolem_V213213, V26_26) <=> ? [W27_27] : ((ssList(W27_27) & ? [X28_28] : ((ssList(X28_28) & =(app(app(W27_27, V26_26), X28_28), skolem_V213213))))))))
% 164.23/29.54
% 164.23/29.54 [58] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [59] GAMMA_FORALL : ! [U29_29] : ((ssList(U29_29) => (cyclefreeP(U29_29) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), U29_29) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30))))))))))))))))
% 164.23/29.54 -> [60] (ssList(nil) => (cyclefreeP(nil) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))
% 164.23/29.54
% 164.23/29.54 [60] BETA_IMPLY : (ssList(nil) => (cyclefreeP(nil) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))))
% 164.23/29.54 -> [61] ~ssList(nil)
% 164.23/29.54 -> [62] (cyclefreeP(nil) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30))))))))))))))
% 164.23/29.54
% 164.23/29.54 [61] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [62] BETA_EQUIV : (cyclefreeP(nil) <=> ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30))))))))))))))
% 164.23/29.54 -> [63] ~cyclefreeP(nil), ~! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))
% 164.23/29.54 -> [64] cyclefreeP(nil), ! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))
% 164.23/29.54
% 164.23/29.54 [63] DELTA_NOT_FORALL : ~! [V30_30] : ((ssItem(V30_30) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(V30_30, Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(V30_30, W31_31) & leq(W31_31, V30_30)))))))))))))
% 164.23/29.54 -> [65] ~(ssItem(skolem_V3030(nil)) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(skolem_V3030(nil), W31_31) & leq(W31_31, skolem_V3030(nil)))))))))))))
% 164.23/29.54
% 164.23/29.54 [65] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V3030(nil)) => ! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(skolem_V3030(nil), W31_31) & leq(W31_31, skolem_V3030(nil)))))))))))))
% 164.23/29.54 -> [66] ssItem(skolem_V3030(nil)), ~! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(skolem_V3030(nil), W31_31) & leq(W31_31, skolem_V3030(nil))))))))))))
% 164.23/29.54
% 164.23/29.54 [66] DELTA_NOT_FORALL : ~! [W31_31] : ((ssItem(W31_31) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(W31_31, Z34_34)), nil) => ~(leq(skolem_V3030(nil), W31_31) & leq(W31_31, skolem_V3030(nil))))))))))))
% 164.23/29.54 -> [72] ~(ssItem(skolem_W3131(nil)) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))))))
% 164.23/29.54
% 164.23/29.54 [72] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W3131(nil)) => ! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))))))
% 164.23/29.54 -> [73] ssItem(skolem_W3131(nil)), ~! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [73] DELTA_NOT_FORALL : ~! [X32_32] : ((ssList(X32_32) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(X32_32, cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))))))
% 164.23/29.54 -> [81] ~(ssList(skolem_X3232(nil)) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [81] ALPHA_NOT_IMPLY : ~(ssList(skolem_X3232(nil)) => ! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))))
% 164.23/29.54 -> [82] ssList(skolem_X3232(nil)), ~! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))))
% 164.23/29.54
% 164.23/29.54 [82] DELTA_NOT_FORALL : ~! [Y33_33] : ((ssList(Y33_33) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), Y33_33)), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))))
% 164.23/29.54 -> [92] ~(ssList(skolem_Y3333(nil)) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))
% 164.23/29.54
% 164.23/29.54 [92] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y3333(nil)) => ! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))))
% 164.23/29.54 -> [93] ssList(skolem_Y3333(nil)), ~! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))
% 164.23/29.54
% 164.23/29.54 [93] DELTA_NOT_FORALL : ~! [Z34_34] : ((ssList(Z34_34) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), Z34_34)), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))))
% 164.23/29.54 -> [100] ~(ssList(skolem_Z3434(nil)) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), skolem_Z3434(nil))), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))
% 164.23/29.54
% 164.23/29.54 [100] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z3434(nil)) => (=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), skolem_Z3434(nil))), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))))
% 164.23/29.54 -> [101] ssList(skolem_Z3434(nil)), ~(=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), skolem_Z3434(nil))), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))
% 164.23/29.54
% 164.23/29.54 [101] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), skolem_Z3434(nil))), nil) => ~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil))))
% 164.23/29.54 -> [116] =(app(app(skolem_X3232(nil), cons(skolem_V3030(nil), skolem_Y3333(nil))), cons(skolem_W3131(nil), skolem_Z3434(nil))), nil), ~~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))
% 164.23/29.54
% 164.23/29.54 [116] ALPHA_NOT_NOT : ~~(leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))
% 164.23/29.54 -> [125] (leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))
% 164.23/29.54
% 164.23/29.54 [125] ALPHA_AND : (leq(skolem_V3030(nil), skolem_W3131(nil)) & leq(skolem_W3131(nil), skolem_V3030(nil)))
% 164.23/29.54 -> [127] leq(skolem_V3030(nil), skolem_W3131(nil)), leq(skolem_W3131(nil), skolem_V3030(nil))
% 164.23/29.54
% 164.23/29.54 [127] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [64] GAMMA_FORALL : ! [U35_35] : ((ssList(U35_35) => (totalorderP(U35_35) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), U35_35) => (leq(V36_36, W37_37) | leq(W37_37, V36_36))))))))))))))))
% 164.23/29.54 -> [67] (ssList(nil) => (totalorderP(nil) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))
% 164.23/29.54
% 164.23/29.54 [67] BETA_IMPLY : (ssList(nil) => (totalorderP(nil) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))))
% 164.23/29.54 -> [68] ~ssList(nil)
% 164.23/29.54 -> [69] (totalorderP(nil) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36))))))))))))))
% 164.23/29.54
% 164.23/29.54 [68] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [69] BETA_EQUIV : (totalorderP(nil) <=> ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36))))))))))))))
% 164.23/29.54 -> [70] ~totalorderP(nil), ~! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))
% 164.23/29.54 -> [71] totalorderP(nil), ! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))
% 164.23/29.54
% 164.23/29.54 [70] DELTA_NOT_FORALL : ~! [V36_36] : ((ssItem(V36_36) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(V36_36, Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(V36_36, W37_37) | leq(W37_37, V36_36)))))))))))))
% 164.23/29.54 -> [74] ~(ssItem(skolem_V3636(nil)) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(skolem_V3636(nil), W37_37) | leq(W37_37, skolem_V3636(nil)))))))))))))
% 164.23/29.54
% 164.23/29.54 [74] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V3636(nil)) => ! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(skolem_V3636(nil), W37_37) | leq(W37_37, skolem_V3636(nil)))))))))))))
% 164.23/29.54 -> [75] ssItem(skolem_V3636(nil)), ~! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(skolem_V3636(nil), W37_37) | leq(W37_37, skolem_V3636(nil))))))))))))
% 164.23/29.54
% 164.23/29.54 [75] DELTA_NOT_FORALL : ~! [W37_37] : ((ssItem(W37_37) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(W37_37, Z40_40)), nil) => (leq(skolem_V3636(nil), W37_37) | leq(W37_37, skolem_V3636(nil))))))))))))
% 164.23/29.54 -> [83] ~(ssItem(skolem_W3737(nil)) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))))))
% 164.23/29.54
% 164.23/29.54 [83] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W3737(nil)) => ! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))))))
% 164.23/29.54 -> [84] ssItem(skolem_W3737(nil)), ~! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [84] DELTA_NOT_FORALL : ~! [X38_38] : ((ssList(X38_38) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(X38_38, cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))))))
% 164.23/29.54 -> [94] ~(ssList(skolem_X3838(nil)) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [94] ALPHA_NOT_IMPLY : ~(ssList(skolem_X3838(nil)) => ! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))))
% 164.23/29.54 -> [95] ssList(skolem_X3838(nil)), ~! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))))
% 164.23/29.54
% 164.23/29.54 [95] DELTA_NOT_FORALL : ~! [Y39_39] : ((ssList(Y39_39) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), Y39_39)), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))))
% 164.23/29.54 -> [109] ~(ssList(skolem_Y3939(nil)) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))
% 164.23/29.54
% 164.23/29.54 [109] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y3939(nil)) => ! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))))
% 164.23/29.54 -> [110] ssList(skolem_Y3939(nil)), ~! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))
% 164.23/29.54
% 164.23/29.54 [110] DELTA_NOT_FORALL : ~! [Z40_40] : ((ssList(Z40_40) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), Z40_40)), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))))
% 164.23/29.54 -> [118] ~(ssList(skolem_Z4040(nil)) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), skolem_Z4040(nil))), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))
% 164.23/29.54
% 164.23/29.54 [118] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z4040(nil)) => (=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), skolem_Z4040(nil))), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))))
% 164.23/29.54 -> [119] ssList(skolem_Z4040(nil)), ~(=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), skolem_Z4040(nil))), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))
% 164.23/29.54
% 164.23/29.54 [119] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), skolem_Z4040(nil))), nil) => (leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil))))
% 164.23/29.54 -> [130] =(app(app(skolem_X3838(nil), cons(skolem_V3636(nil), skolem_Y3939(nil))), cons(skolem_W3737(nil), skolem_Z4040(nil))), nil), ~(leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))
% 164.23/29.54
% 164.23/29.54 [130] ALPHA_NOT_OR : ~(leq(skolem_V3636(nil), skolem_W3737(nil)) | leq(skolem_W3737(nil), skolem_V3636(nil)))
% 164.23/29.54 -> [136] ~leq(skolem_V3636(nil), skolem_W3737(nil)), ~leq(skolem_W3737(nil), skolem_V3636(nil))
% 164.23/29.54
% 164.23/29.54 [136] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [71] GAMMA_FORALL : ! [U41_41] : ((ssList(U41_41) => (strictorderP(U41_41) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), U41_41) => (lt(V42_42, W43_43) | lt(W43_43, V42_42))))))))))))))))
% 164.23/29.54 -> [76] (ssList(nil) => (strictorderP(nil) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))
% 164.23/29.54
% 164.23/29.54 [76] BETA_IMPLY : (ssList(nil) => (strictorderP(nil) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))))
% 164.23/29.54 -> [77] ~ssList(nil)
% 164.23/29.54 -> [78] (strictorderP(nil) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42))))))))))))))
% 164.23/29.54
% 164.23/29.54 [77] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [78] BETA_EQUIV : (strictorderP(nil) <=> ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42))))))))))))))
% 164.23/29.54 -> [79] ~strictorderP(nil), ~! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))
% 164.23/29.54 -> [80] strictorderP(nil), ! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))
% 164.23/29.54
% 164.23/29.54 [79] DELTA_NOT_FORALL : ~! [V42_42] : ((ssItem(V42_42) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(V42_42, Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(V42_42, W43_43) | lt(W43_43, V42_42)))))))))))))
% 164.23/29.54 -> [85] ~(ssItem(skolem_V4242(nil)) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(skolem_V4242(nil), W43_43) | lt(W43_43, skolem_V4242(nil)))))))))))))
% 164.23/29.54
% 164.23/29.54 [85] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V4242(nil)) => ! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(skolem_V4242(nil), W43_43) | lt(W43_43, skolem_V4242(nil)))))))))))))
% 164.23/29.54 -> [86] ssItem(skolem_V4242(nil)), ~! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(skolem_V4242(nil), W43_43) | lt(W43_43, skolem_V4242(nil))))))))))))
% 164.23/29.54
% 164.23/29.54 [86] DELTA_NOT_FORALL : ~! [W43_43] : ((ssItem(W43_43) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(W43_43, Z46_46)), nil) => (lt(skolem_V4242(nil), W43_43) | lt(W43_43, skolem_V4242(nil))))))))))))
% 164.23/29.54 -> [96] ~(ssItem(skolem_W4343(nil)) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))))))
% 164.23/29.54
% 164.23/29.54 [96] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W4343(nil)) => ! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))))))
% 164.23/29.54 -> [97] ssItem(skolem_W4343(nil)), ~! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [97] DELTA_NOT_FORALL : ~! [X44_44] : ((ssList(X44_44) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(X44_44, cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))))))
% 164.23/29.54 -> [107] ~(ssList(skolem_X4444(nil)) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [107] ALPHA_NOT_IMPLY : ~(ssList(skolem_X4444(nil)) => ! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))))
% 164.23/29.54 -> [108] ssList(skolem_X4444(nil)), ~! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))))
% 164.23/29.54
% 164.23/29.54 [108] DELTA_NOT_FORALL : ~! [Y45_45] : ((ssList(Y45_45) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), Y45_45)), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))))
% 164.23/29.54 -> [115] ~(ssList(skolem_Y4545(nil)) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))
% 164.23/29.54
% 164.23/29.54 [115] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y4545(nil)) => ! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))))
% 164.23/29.54 -> [117] ssList(skolem_Y4545(nil)), ~! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))
% 164.23/29.54
% 164.23/29.54 [117] DELTA_NOT_FORALL : ~! [Z46_46] : ((ssList(Z46_46) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), Z46_46)), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))))
% 164.23/29.54 -> [124] ~(ssList(skolem_Z4646(nil)) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), skolem_Z4646(nil))), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))
% 164.23/29.54
% 164.23/29.54 [124] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z4646(nil)) => (=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), skolem_Z4646(nil))), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))))
% 164.23/29.54 -> [126] ssList(skolem_Z4646(nil)), ~(=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), skolem_Z4646(nil))), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))
% 164.23/29.54
% 164.23/29.54 [126] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), skolem_Z4646(nil))), nil) => (lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil))))
% 164.23/29.54 -> [135] =(app(app(skolem_X4444(nil), cons(skolem_V4242(nil), skolem_Y4545(nil))), cons(skolem_W4343(nil), skolem_Z4646(nil))), nil), ~(lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))
% 164.23/29.54
% 164.23/29.54 [135] ALPHA_NOT_OR : ~(lt(skolem_V4242(nil), skolem_W4343(nil)) | lt(skolem_W4343(nil), skolem_V4242(nil)))
% 164.23/29.54 -> [141] ~lt(skolem_V4242(nil), skolem_W4343(nil)), ~lt(skolem_W4343(nil), skolem_V4242(nil))
% 164.23/29.54
% 164.23/29.54 [141] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [80] GAMMA_FORALL : ! [U47_47] : ((ssList(U47_47) => (totalorderedP(U47_47) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), U47_47) => leq(V48_48, W49_49)))))))))))))))
% 164.23/29.54 -> [87] (ssList(nil) => (totalorderedP(nil) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49))))))))))))))
% 164.23/29.54
% 164.23/29.54 [87] BETA_IMPLY : (ssList(nil) => (totalorderedP(nil) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49))))))))))))))
% 164.23/29.54 -> [88] ~ssList(nil)
% 164.23/29.54 -> [89] (totalorderedP(nil) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49)))))))))))))
% 164.23/29.54
% 164.23/29.54 [88] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [89] BETA_EQUIV : (totalorderedP(nil) <=> ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49)))))))))))))
% 164.23/29.54 -> [90] ~totalorderedP(nil), ~! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49))))))))))))
% 164.23/29.54 -> [91] totalorderedP(nil), ! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49))))))))))))
% 164.23/29.54
% 164.23/29.54 [90] DELTA_NOT_FORALL : ~! [V48_48] : ((ssItem(V48_48) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(V48_48, Y51_51)), cons(W49_49, Z52_52)), nil) => leq(V48_48, W49_49))))))))))))
% 164.23/29.54 -> [98] ~(ssItem(skolem_V4848(nil)) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(W49_49, Z52_52)), nil) => leq(skolem_V4848(nil), W49_49)))))))))))
% 164.23/29.54
% 164.23/29.54 [98] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V4848(nil)) => ! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(W49_49, Z52_52)), nil) => leq(skolem_V4848(nil), W49_49)))))))))))
% 164.23/29.54 -> [99] ssItem(skolem_V4848(nil)), ~! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(W49_49, Z52_52)), nil) => leq(skolem_V4848(nil), W49_49))))))))))
% 164.23/29.54
% 164.23/29.54 [99] DELTA_NOT_FORALL : ~! [W49_49] : ((ssItem(W49_49) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(W49_49, Z52_52)), nil) => leq(skolem_V4848(nil), W49_49))))))))))
% 164.23/29.54 -> [113] ~(ssItem(skolem_W4949(nil)) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [113] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W4949(nil)) => ! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))))))
% 164.23/29.54 -> [114] ssItem(skolem_W4949(nil)), ~! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [114] DELTA_NOT_FORALL : ~! [X50_50] : ((ssList(X50_50) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(X50_50, cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))))))
% 164.23/29.54 -> [122] ~(ssList(skolem_X5050(nil)) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))))
% 164.23/29.54
% 164.23/29.54 [122] ALPHA_NOT_IMPLY : ~(ssList(skolem_X5050(nil)) => ! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))))
% 164.23/29.54 -> [123] ssList(skolem_X5050(nil)), ~! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))))
% 164.23/29.54
% 164.23/29.54 [123] DELTA_NOT_FORALL : ~! [Y51_51] : ((ssList(Y51_51) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), Y51_51)), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))))
% 164.23/29.54 -> [131] ~(ssList(skolem_Y5151(nil)) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))
% 164.23/29.54
% 164.23/29.54 [131] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y5151(nil)) => ! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))))
% 164.23/29.54 -> [132] ssList(skolem_Y5151(nil)), ~! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))
% 164.23/29.54
% 164.23/29.54 [132] DELTA_NOT_FORALL : ~! [Z52_52] : ((ssList(Z52_52) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), Z52_52)), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))))
% 164.23/29.54 -> [137] ~(ssList(skolem_Z5252(nil)) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), skolem_Z5252(nil))), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))
% 164.23/29.54
% 164.23/29.54 [137] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z5252(nil)) => (=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), skolem_Z5252(nil))), nil) => leq(skolem_V4848(nil), skolem_W4949(nil))))
% 164.23/29.54 -> [138] ssList(skolem_Z5252(nil)), ~(=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), skolem_Z5252(nil))), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))
% 164.23/29.54
% 164.23/29.54 [138] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), skolem_Z5252(nil))), nil) => leq(skolem_V4848(nil), skolem_W4949(nil)))
% 164.23/29.54 -> [142] =(app(app(skolem_X5050(nil), cons(skolem_V4848(nil), skolem_Y5151(nil))), cons(skolem_W4949(nil), skolem_Z5252(nil))), nil), ~leq(skolem_V4848(nil), skolem_W4949(nil))
% 164.23/29.54
% 164.23/29.54 [142] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [91] GAMMA_FORALL : ! [U53_53] : ((ssList(U53_53) => (strictorderedP(U53_53) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), U53_53) => lt(V54_54, W55_55)))))))))))))))
% 164.23/29.54 -> [102] (ssList(nil) => (strictorderedP(nil) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55))))))))))))))
% 164.23/29.54
% 164.23/29.54 [102] BETA_IMPLY : (ssList(nil) => (strictorderedP(nil) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55))))))))))))))
% 164.23/29.54 -> [103] ~ssList(nil)
% 164.23/29.54 -> [104] (strictorderedP(nil) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55)))))))))))))
% 164.23/29.54
% 164.23/29.54 [103] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [104] BETA_EQUIV : (strictorderedP(nil) <=> ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55)))))))))))))
% 164.23/29.54 -> [105] ~strictorderedP(nil), ~! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55))))))))))))
% 164.23/29.54 -> [106] strictorderedP(nil), ! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55))))))))))))
% 164.23/29.54
% 164.23/29.54 [105] DELTA_NOT_FORALL : ~! [V54_54] : ((ssItem(V54_54) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(V54_54, Y57_57)), cons(W55_55, Z58_58)), nil) => lt(V54_54, W55_55))))))))))))
% 164.23/29.54 -> [111] ~(ssItem(skolem_V5454(nil)) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(W55_55, Z58_58)), nil) => lt(skolem_V5454(nil), W55_55)))))))))))
% 164.23/29.54
% 164.23/29.54 [111] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V5454(nil)) => ! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(W55_55, Z58_58)), nil) => lt(skolem_V5454(nil), W55_55)))))))))))
% 164.23/29.54 -> [112] ssItem(skolem_V5454(nil)), ~! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(W55_55, Z58_58)), nil) => lt(skolem_V5454(nil), W55_55))))))))))
% 164.23/29.54
% 164.23/29.54 [112] DELTA_NOT_FORALL : ~! [W55_55] : ((ssItem(W55_55) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(W55_55, Z58_58)), nil) => lt(skolem_V5454(nil), W55_55))))))))))
% 164.23/29.54 -> [120] ~(ssItem(skolem_W5555(nil)) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [120] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W5555(nil)) => ! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))))))
% 164.23/29.54 -> [121] ssItem(skolem_W5555(nil)), ~! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [121] DELTA_NOT_FORALL : ~! [X56_56] : ((ssList(X56_56) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(X56_56, cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))))))
% 164.23/29.54 -> [128] ~(ssList(skolem_X5656(nil)) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))))
% 164.23/29.54
% 164.23/29.54 [128] ALPHA_NOT_IMPLY : ~(ssList(skolem_X5656(nil)) => ! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))))
% 164.23/29.54 -> [129] ssList(skolem_X5656(nil)), ~! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))))
% 164.23/29.54
% 164.23/29.54 [129] DELTA_NOT_FORALL : ~! [Y57_57] : ((ssList(Y57_57) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), Y57_57)), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))))
% 164.23/29.54 -> [133] ~(ssList(skolem_Y5757(nil)) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))
% 164.23/29.54
% 164.23/29.54 [133] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y5757(nil)) => ! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))))
% 164.23/29.54 -> [134] ssList(skolem_Y5757(nil)), ~! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))
% 164.23/29.54
% 164.23/29.54 [134] DELTA_NOT_FORALL : ~! [Z58_58] : ((ssList(Z58_58) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), Z58_58)), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))))
% 164.23/29.54 -> [139] ~(ssList(skolem_Z5858(nil)) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), skolem_Z5858(nil))), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))
% 164.23/29.54
% 164.23/29.54 [139] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z5858(nil)) => (=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), skolem_Z5858(nil))), nil) => lt(skolem_V5454(nil), skolem_W5555(nil))))
% 164.23/29.54 -> [140] ssList(skolem_Z5858(nil)), ~(=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), skolem_Z5858(nil))), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))
% 164.23/29.54
% 164.23/29.54 [140] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), skolem_Z5858(nil))), nil) => lt(skolem_V5454(nil), skolem_W5555(nil)))
% 164.23/29.54 -> [143] =(app(app(skolem_X5656(nil), cons(skolem_V5454(nil), skolem_Y5757(nil))), cons(skolem_W5555(nil), skolem_Z5858(nil))), nil), ~lt(skolem_V5454(nil), skolem_W5555(nil))
% 164.23/29.54
% 164.23/29.54 [143] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [106] GAMMA_FORALL : ! [U59_59] : ((ssList(U59_59) => (duplicatefreeP(U59_59) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), U59_59) => ~=(V60_60, W61_61)))))))))))))))
% 164.23/29.54 -> [144] (ssList(nil) => (duplicatefreeP(nil) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61))))))))))))))
% 164.23/29.54
% 164.23/29.54 [144] BETA_IMPLY : (ssList(nil) => (duplicatefreeP(nil) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61))))))))))))))
% 164.23/29.54 -> [145] ~ssList(nil)
% 164.23/29.54 -> [146] (duplicatefreeP(nil) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61)))))))))))))
% 164.23/29.54
% 164.23/29.54 [145] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [146] BETA_EQUIV : (duplicatefreeP(nil) <=> ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61)))))))))))))
% 164.23/29.54 -> [147] ~duplicatefreeP(nil), ~! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61))))))))))))
% 164.23/29.54 -> [148] duplicatefreeP(nil), ! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61))))))))))))
% 164.23/29.54
% 164.23/29.54 [147] DELTA_NOT_FORALL : ~! [V60_60] : ((ssItem(V60_60) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(V60_60, Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(V60_60, W61_61))))))))))))
% 164.23/29.54 -> [149] ~(ssItem(skolem_V6060(nil)) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(skolem_V6060(nil), W61_61)))))))))))
% 164.23/29.54
% 164.23/29.54 [149] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V6060(nil)) => ! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(skolem_V6060(nil), W61_61)))))))))))
% 164.23/29.54 -> [150] ssItem(skolem_V6060(nil)), ~! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(skolem_V6060(nil), W61_61))))))))))
% 164.23/29.54
% 164.23/29.54 [150] DELTA_NOT_FORALL : ~! [W61_61] : ((ssItem(W61_61) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(W61_61, Z64_64)), nil) => ~=(skolem_V6060(nil), W61_61))))))))))
% 164.23/29.54 -> [156] ~(ssItem(skolem_W6161(nil)) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))))))
% 164.23/29.54
% 164.23/29.54 [156] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W6161(nil)) => ! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))))))
% 164.23/29.54 -> [157] ssItem(skolem_W6161(nil)), ~! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))))))
% 164.23/29.54
% 164.23/29.54 [157] DELTA_NOT_FORALL : ~! [X62_62] : ((ssList(X62_62) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(X62_62, cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))))))
% 164.23/29.54 -> [166] ~(ssList(skolem_X6262(nil)) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))))
% 164.23/29.54
% 164.23/29.54 [166] ALPHA_NOT_IMPLY : ~(ssList(skolem_X6262(nil)) => ! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))))
% 164.23/29.54 -> [167] ssList(skolem_X6262(nil)), ~! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))))
% 164.23/29.54
% 164.23/29.54 [167] DELTA_NOT_FORALL : ~! [Y63_63] : ((ssList(Y63_63) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), Y63_63)), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))))
% 164.23/29.54 -> [183] ~(ssList(skolem_Y6363(nil)) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))
% 164.23/29.54
% 164.23/29.54 [183] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y6363(nil)) => ! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))))
% 164.23/29.54 -> [184] ssList(skolem_Y6363(nil)), ~! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))
% 164.23/29.54
% 164.23/29.54 [184] DELTA_NOT_FORALL : ~! [Z64_64] : ((ssList(Z64_64) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), Z64_64)), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))))
% 164.23/29.54 -> [190] ~(ssList(skolem_Z6464(nil)) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), skolem_Z6464(nil))), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))
% 164.23/29.54
% 164.23/29.54 [190] ALPHA_NOT_IMPLY : ~(ssList(skolem_Z6464(nil)) => (=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), skolem_Z6464(nil))), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil))))
% 164.23/29.54 -> [192] ssList(skolem_Z6464(nil)), ~(=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), skolem_Z6464(nil))), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))
% 164.23/29.54
% 164.23/29.54 [192] ALPHA_NOT_IMPLY : ~(=(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), skolem_Z6464(nil))), nil) => ~=(skolem_V6060(nil), skolem_W6161(nil)))
% 164.23/29.54 -> [203] =(app(app(skolem_X6262(nil), cons(skolem_V6060(nil), skolem_Y6363(nil))), cons(skolem_W6161(nil), skolem_Z6464(nil))), nil), ~~=(skolem_V6060(nil), skolem_W6161(nil))
% 164.23/29.54
% 164.23/29.54 [203] ALPHA_NOT_NOT : ~~=(skolem_V6060(nil), skolem_W6161(nil))
% 164.23/29.54 -> [213] =(skolem_V6060(nil), skolem_W6161(nil))
% 164.23/29.54
% 164.23/29.54 [213] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [148] GAMMA_FORALL : ! [U65_65] : ((ssList(U65_65) => (equalelemsP(U65_65) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), U65_65) => =(V66_66, W67_67)))))))))))))
% 164.23/29.54 -> [151] (ssList(nil) => (equalelemsP(nil) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67))))))))))))
% 164.23/29.54
% 164.23/29.54 [151] BETA_IMPLY : (ssList(nil) => (equalelemsP(nil) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67))))))))))))
% 164.23/29.54 -> [152] ~ssList(nil)
% 164.23/29.54 -> [153] (equalelemsP(nil) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67)))))))))))
% 164.23/29.54
% 164.23/29.54 [152] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [153] BETA_EQUIV : (equalelemsP(nil) <=> ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67)))))))))))
% 164.23/29.54 -> [154] ~equalelemsP(nil), ~! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67))))))))))
% 164.23/29.54 -> [155] equalelemsP(nil), ! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67))))))))))
% 164.23/29.54
% 164.23/29.54 [154] DELTA_NOT_FORALL : ~! [V66_66] : ((ssItem(V66_66) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(V66_66, cons(W67_67, Y69_69))), nil) => =(V66_66, W67_67))))))))))
% 164.23/29.54 -> [158] ~(ssItem(skolem_V6666(nil)) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(W67_67, Y69_69))), nil) => =(skolem_V6666(nil), W67_67)))))))))
% 164.23/29.54
% 164.23/29.54 [158] ALPHA_NOT_IMPLY : ~(ssItem(skolem_V6666(nil)) => ! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(W67_67, Y69_69))), nil) => =(skolem_V6666(nil), W67_67)))))))))
% 164.23/29.54 -> [159] ssItem(skolem_V6666(nil)), ~! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(W67_67, Y69_69))), nil) => =(skolem_V6666(nil), W67_67))))))))
% 164.23/29.54
% 164.23/29.54 [159] DELTA_NOT_FORALL : ~! [W67_67] : ((ssItem(W67_67) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(W67_67, Y69_69))), nil) => =(skolem_V6666(nil), W67_67))))))))
% 164.23/29.54 -> [181] ~(ssItem(skolem_W6767(nil)) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))))))
% 164.23/29.54
% 164.23/29.54 [181] ALPHA_NOT_IMPLY : ~(ssItem(skolem_W6767(nil)) => ! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))))))
% 164.23/29.54 -> [182] ssItem(skolem_W6767(nil)), ~! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))))))
% 164.23/29.54
% 164.23/29.54 [182] DELTA_NOT_FORALL : ~! [X68_68] : ((ssList(X68_68) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(X68_68, cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))))))
% 164.23/29.54 -> [185] ~(ssList(skolem_X6868(nil)) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))))
% 164.23/29.54
% 164.23/29.54 [185] ALPHA_NOT_IMPLY : ~(ssList(skolem_X6868(nil)) => ! [Y69_69] : ((ssList(Y69_69) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))))
% 164.23/29.54 -> [186] ssList(skolem_X6868(nil)), ~! [Y69_69] : ((ssList(Y69_69) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))))
% 164.23/29.54
% 164.23/29.54 [186] DELTA_NOT_FORALL : ~! [Y69_69] : ((ssList(Y69_69) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), Y69_69))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))))
% 164.23/29.54 -> [189] ~(ssList(skolem_Y6969(nil)) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), skolem_Y6969(nil)))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))
% 164.23/29.54
% 164.23/29.54 [189] ALPHA_NOT_IMPLY : ~(ssList(skolem_Y6969(nil)) => (=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), skolem_Y6969(nil)))), nil) => =(skolem_V6666(nil), skolem_W6767(nil))))
% 164.23/29.54 -> [191] ssList(skolem_Y6969(nil)), ~(=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), skolem_Y6969(nil)))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))
% 164.23/29.54
% 164.23/29.54 [191] ALPHA_NOT_IMPLY : ~(=(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), skolem_Y6969(nil)))), nil) => =(skolem_V6666(nil), skolem_W6767(nil)))
% 164.23/29.54 -> [202] =(app(skolem_X6868(nil), cons(skolem_V6666(nil), cons(skolem_W6767(nil), skolem_Y6969(nil)))), nil), ~=(skolem_V6666(nil), skolem_W6767(nil))
% 164.23/29.54
% 164.23/29.54 [202] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [155] GAMMA_FORALL : ! [U70_70] : ((ssList(U70_70) => ! [V71_71] : ((ssList(V71_71) => (neq(U70_70, V71_71) <=> ~=(U70_70, V71_71))))))
% 164.23/29.54 -> [160] (ssList(skolem_X215215) => ! [V71_71] : ((ssList(V71_71) => (neq(skolem_X215215, V71_71) <=> ~=(skolem_X215215, V71_71)))))
% 164.23/29.54
% 164.23/29.54 [160] BETA_IMPLY : (ssList(skolem_X215215) => ! [V71_71] : ((ssList(V71_71) => (neq(skolem_X215215, V71_71) <=> ~=(skolem_X215215, V71_71)))))
% 164.23/29.54 -> [161] ~ssList(skolem_X215215)
% 164.23/29.54 -> [162] ! [V71_71] : ((ssList(V71_71) => (neq(skolem_X215215, V71_71) <=> ~=(skolem_X215215, V71_71))))
% 164.23/29.54
% 164.23/29.54 [161] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [162] GAMMA_FORALL : ! [U72_72] : ((ssList(U72_72) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, U72_72))))))
% 164.23/29.54 -> [163] (ssList(skolem_X215215) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, skolem_X215215)))))
% 164.23/29.54
% 164.23/29.54 [163] BETA_IMPLY : (ssList(skolem_X215215) => ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, skolem_X215215)))))
% 164.23/29.54 -> [164] ~ssList(skolem_X215215)
% 164.23/29.54 -> [165] ! [V73_73] : ((ssItem(V73_73) => ssList(cons(V73_73, skolem_X215215))))
% 164.23/29.54
% 164.23/29.54 [164] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [165] GAMMA_FORALL : ! [U74_74] : ((ssList(U74_74) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, U74_74), U74_74)))))
% 164.23/29.54 -> [168] (ssList(skolem_X1218218) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, skolem_X1218218), skolem_X1218218))))
% 164.23/29.54
% 164.23/29.54 [168] BETA_IMPLY : (ssList(skolem_X1218218) => ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, skolem_X1218218), skolem_X1218218))))
% 164.23/29.54 -> [169] ~ssList(skolem_X1218218)
% 164.23/29.54 -> [170] ! [V75_75] : ((ssItem(V75_75) => ~=(cons(V75_75, skolem_X1218218), skolem_X1218218)))
% 164.23/29.54
% 164.23/29.54 [169] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [170] GAMMA_FORALL : ! [U76_76] : ((ssList(U76_76) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, U76_76), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, U76_76)))))))))))
% 164.23/29.54 -> [171] (ssList(skolem_X1218218) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, skolem_X1218218), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, skolem_X1218218))))))))))
% 164.23/29.54
% 164.23/29.54 [171] BETA_IMPLY : (ssList(skolem_X1218218) => ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, skolem_X1218218), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, skolem_X1218218))))))))))
% 164.23/29.54 -> [172] ~ssList(skolem_X1218218)
% 164.23/29.54 -> [173] ! [V77_77] : ((ssList(V77_77) => ! [W78_78] : ((ssItem(W78_78) => ! [X79_79] : ((ssItem(X79_79) => (=(cons(W78_78, skolem_X1218218), cons(X79_79, V77_77)) => (=(W78_78, X79_79) & =(V77_77, skolem_X1218218)))))))))
% 164.23/29.54
% 164.23/29.54 [172] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [173] GAMMA_FORALL : ! [U80_80] : ((ssList(U80_80) => (=(nil, U80_80) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), U80_80))))))))
% 164.23/29.54 -> [174] (ssList(skolem_U212212) => (=(nil, skolem_U212212) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212)))))))
% 164.23/29.54
% 164.23/29.54 [174] BETA_IMPLY : (ssList(skolem_U212212) => (=(nil, skolem_U212212) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212)))))))
% 164.23/29.54 -> [175] ~ssList(skolem_U212212)
% 164.23/29.54 -> [176] (=(nil, skolem_U212212) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212))))))
% 164.23/29.54
% 164.23/29.54 [175] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [176] BETA_OR : (=(nil, skolem_U212212) | ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212))))))
% 164.23/29.54 -> [177] =(nil, skolem_U212212)
% 164.23/29.54 -> [178] ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212)))))
% 164.23/29.54
% 164.23/29.54 [177] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [178] DELTA_EXISTS : ? [V81_81] : ((ssList(V81_81) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, V81_81), skolem_U212212)))))
% 164.23/29.54 -> [179] (ssList(skolem_V8181(skolem_U212212)) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, skolem_V8181(skolem_U212212)), skolem_U212212))))
% 164.23/29.54
% 164.23/29.54 [179] ALPHA_AND : (ssList(skolem_V8181(skolem_U212212)) & ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, skolem_V8181(skolem_U212212)), skolem_U212212))))
% 164.23/29.54 -> [180] ssList(skolem_V8181(skolem_U212212)), ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, skolem_V8181(skolem_U212212)), skolem_U212212)))
% 164.23/29.54
% 164.23/29.54 [180] DELTA_EXISTS : ? [W82_82] : ((ssItem(W82_82) & =(cons(W82_82, skolem_V8181(skolem_U212212)), skolem_U212212)))
% 164.23/29.54 -> [187] (ssItem(skolem_W8282(skolem_U212212)) & =(cons(skolem_W8282(skolem_U212212), skolem_V8181(skolem_U212212)), skolem_U212212))
% 164.23/29.54
% 164.23/29.54 [187] ALPHA_AND : (ssItem(skolem_W8282(skolem_U212212)) & =(cons(skolem_W8282(skolem_U212212), skolem_V8181(skolem_U212212)), skolem_U212212))
% 164.23/29.54 -> [188] ssItem(skolem_W8282(skolem_U212212)), =(cons(skolem_W8282(skolem_U212212), skolem_V8181(skolem_U212212)), skolem_U212212)
% 164.23/29.54
% 164.23/29.54 [188] GAMMA_FORALL : ! [U83_83] : ((ssList(U83_83) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, U83_83))))))
% 164.23/29.54 -> [193] (ssList(skolem_U212212) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, skolem_U212212)))))
% 164.23/29.54
% 164.23/29.54 [193] BETA_IMPLY : (ssList(skolem_U212212) => ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, skolem_U212212)))))
% 164.23/29.54 -> [194] ~ssList(skolem_U212212)
% 164.23/29.54 -> [195] ! [V84_84] : ((ssItem(V84_84) => ~=(nil, cons(V84_84, skolem_U212212))))
% 164.23/29.54
% 164.23/29.54 [194] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [195] GAMMA_FORALL : ! [U85_85] : ((ssList(U85_85) => (~=(nil, U85_85) => ssItem(hd(U85_85)))))
% 164.23/29.54 -> [196] (ssList(skolem_U212212) => (~=(nil, skolem_U212212) => ssItem(hd(skolem_U212212))))
% 164.23/29.54
% 164.23/29.54 [196] BETA_IMPLY : (ssList(skolem_U212212) => (~=(nil, skolem_U212212) => ssItem(hd(skolem_U212212))))
% 164.23/29.54 -> [197] ~ssList(skolem_U212212)
% 164.23/29.54 -> [198] (~=(nil, skolem_U212212) => ssItem(hd(skolem_U212212)))
% 164.23/29.54
% 164.23/29.54 [197] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [198] BETA_IMPLY : (~=(nil, skolem_U212212) => ssItem(hd(skolem_U212212)))
% 164.23/29.54 -> [199] ~~=(nil, skolem_U212212)
% 164.23/29.54 -> [200] ssItem(hd(skolem_U212212))
% 164.23/29.54
% 164.23/29.54 [199] ALPHA_NOT_NOT : ~~=(nil, skolem_U212212)
% 164.23/29.54 -> [201] =(nil, skolem_U212212)
% 164.23/29.54
% 164.23/29.54 [201] CLOSURE : =
% 164.23/29.54
% 164.23/29.54 [200] GAMMA_FORALL : ! [U86_86] : ((ssList(U86_86) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, U86_86)), V87_87)))))
% 164.23/29.54 -> [204] (ssList(skolem_V8181(skolem_U212212)) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, skolem_V8181(skolem_U212212))), V87_87))))
% 164.23/29.55
% 164.23/29.55 [204] BETA_IMPLY : (ssList(skolem_V8181(skolem_U212212)) => ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, skolem_V8181(skolem_U212212))), V87_87))))
% 164.23/29.55 -> [205] ~ssList(skolem_V8181(skolem_U212212))
% 164.23/29.55 -> [206] ! [V87_87] : ((ssItem(V87_87) => =(hd(cons(V87_87, skolem_V8181(skolem_U212212))), V87_87)))
% 164.23/29.55
% 164.23/29.55 [205] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [206] GAMMA_FORALL : ! [U88_88] : ((ssList(U88_88) => (~=(nil, U88_88) => ssList(tl(U88_88)))))
% 164.23/29.55 -> [207] (ssList(skolem_U212212) => (~=(nil, skolem_U212212) => ssList(tl(skolem_U212212))))
% 164.23/29.55
% 164.23/29.55 [207] BETA_IMPLY : (ssList(skolem_U212212) => (~=(nil, skolem_U212212) => ssList(tl(skolem_U212212))))
% 164.23/29.55 -> [208] ~ssList(skolem_U212212)
% 164.23/29.55 -> [209] (~=(nil, skolem_U212212) => ssList(tl(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [208] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [209] BETA_IMPLY : (~=(nil, skolem_U212212) => ssList(tl(skolem_U212212)))
% 164.23/29.55 -> [210] ~~=(nil, skolem_U212212)
% 164.23/29.55 -> [211] ssList(tl(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [210] ALPHA_NOT_NOT : ~~=(nil, skolem_U212212)
% 164.23/29.55 -> [212] =(nil, skolem_U212212)
% 164.23/29.55
% 164.23/29.55 [212] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [211] GAMMA_FORALL : ! [U89_89] : ((ssList(U89_89) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, U89_89)), U89_89)))))
% 164.23/29.55 -> [214] (ssList(tl(skolem_U212212)) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, tl(skolem_U212212))), tl(skolem_U212212)))))
% 164.23/29.55
% 164.23/29.55 [214] BETA_IMPLY : (ssList(tl(skolem_U212212)) => ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, tl(skolem_U212212))), tl(skolem_U212212)))))
% 164.23/29.55 -> [215] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [216] ! [V90_90] : ((ssItem(V90_90) => =(tl(cons(V90_90, tl(skolem_U212212))), tl(skolem_U212212))))
% 164.23/29.55
% 164.23/29.55 [215] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [216] GAMMA_FORALL : ! [U91_91] : ((ssList(U91_91) => ! [V92_92] : ((ssList(V92_92) => ssList(app(U91_91, V92_92))))))
% 164.23/29.55 -> [217] (ssList(skolem_X1218218) => ! [V92_92] : ((ssList(V92_92) => ssList(app(skolem_X1218218, V92_92)))))
% 164.23/29.55
% 164.23/29.55 [217] BETA_IMPLY : (ssList(skolem_X1218218) => ! [V92_92] : ((ssList(V92_92) => ssList(app(skolem_X1218218, V92_92)))))
% 164.23/29.55 -> [218] ~ssList(skolem_X1218218)
% 164.23/29.55 -> [219] ! [V92_92] : ((ssList(V92_92) => ssList(app(skolem_X1218218, V92_92))))
% 164.23/29.55
% 164.23/29.55 [218] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [219] GAMMA_FORALL : ! [U93_93] : ((ssList(U93_93) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, U93_93)), app(cons(W95_95, V94_94), U93_93))))))))
% 164.23/29.55 -> [220] (ssList(tl(skolem_U212212)) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, tl(skolem_U212212))), app(cons(W95_95, V94_94), tl(skolem_U212212))))))))
% 164.23/29.55
% 164.23/29.55 [220] BETA_IMPLY : (ssList(tl(skolem_U212212)) => ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, tl(skolem_U212212))), app(cons(W95_95, V94_94), tl(skolem_U212212))))))))
% 164.23/29.55 -> [221] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [222] ! [V94_94] : ((ssList(V94_94) => ! [W95_95] : ((ssItem(W95_95) => =(cons(W95_95, app(V94_94, tl(skolem_U212212))), app(cons(W95_95, V94_94), tl(skolem_U212212)))))))
% 164.23/29.55
% 164.23/29.55 [221] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [222] GAMMA_FORALL : ! [U96_96] : ((ssList(U96_96) => =(app(nil, U96_96), U96_96)))
% 164.23/29.55 -> [223] (ssList(tl(skolem_U212212)) => =(app(nil, tl(skolem_U212212)), tl(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [223] BETA_IMPLY : (ssList(tl(skolem_U212212)) => =(app(nil, tl(skolem_U212212)), tl(skolem_U212212)))
% 164.23/29.55 -> [224] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [225] =(app(nil, tl(skolem_U212212)), tl(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [224] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [225] GAMMA_FORALL : ! [U97_97] : ((ssItem(U97_97) => ! [V98_98] : ((ssItem(V98_98) => ((leq(U97_97, V98_98) & leq(V98_98, U97_97)) => =(U97_97, V98_98))))))
% 164.23/29.55 -> [226] (ssItem(skolem_V1212) => ! [V98_98] : ((ssItem(V98_98) => ((leq(skolem_V1212, V98_98) & leq(V98_98, skolem_V1212)) => =(skolem_V1212, V98_98)))))
% 164.23/29.55
% 164.23/29.55 [226] BETA_IMPLY : (ssItem(skolem_V1212) => ! [V98_98] : ((ssItem(V98_98) => ((leq(skolem_V1212, V98_98) & leq(V98_98, skolem_V1212)) => =(skolem_V1212, V98_98)))))
% 164.23/29.55 -> [227] ~ssItem(skolem_V1212)
% 164.23/29.55 -> [228] ! [V98_98] : ((ssItem(V98_98) => ((leq(skolem_V1212, V98_98) & leq(V98_98, skolem_V1212)) => =(skolem_V1212, V98_98))))
% 164.23/29.55
% 164.23/29.55 [227] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [228] GAMMA_FORALL : ! [U99_99] : ((ssItem(U99_99) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(U99_99, V100_100) & leq(V100_100, W101_101)) => leq(U99_99, W101_101))))))))
% 164.23/29.55 -> [229] (ssItem(skolem_V1212) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(skolem_V1212, V100_100) & leq(V100_100, W101_101)) => leq(skolem_V1212, W101_101)))))))
% 164.23/29.55
% 164.23/29.55 [229] BETA_IMPLY : (ssItem(skolem_V1212) => ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(skolem_V1212, V100_100) & leq(V100_100, W101_101)) => leq(skolem_V1212, W101_101)))))))
% 164.23/29.55 -> [230] ~ssItem(skolem_V1212)
% 164.23/29.55 -> [231] ! [V100_100] : ((ssItem(V100_100) => ! [W101_101] : ((ssItem(W101_101) => ((leq(skolem_V1212, V100_100) & leq(V100_100, W101_101)) => leq(skolem_V1212, W101_101))))))
% 164.23/29.55
% 164.23/29.55 [230] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [231] GAMMA_FORALL : ! [U102_102] : ((ssItem(U102_102) => leq(U102_102, U102_102)))
% 164.23/29.55 -> [232] (ssItem(hd(skolem_U212212)) => leq(hd(skolem_U212212), hd(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [232] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => leq(hd(skolem_U212212), hd(skolem_U212212)))
% 164.23/29.55 -> [233] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [234] leq(hd(skolem_U212212), hd(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [233] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [234] GAMMA_FORALL : ! [U103_103] : ((ssItem(U103_103) => ! [V104_104] : ((ssItem(V104_104) => (geq(U103_103, V104_104) <=> leq(V104_104, U103_103))))))
% 164.23/29.55 -> [235] (ssItem(skolem_U1111) => ! [V104_104] : ((ssItem(V104_104) => (geq(skolem_U1111, V104_104) <=> leq(V104_104, skolem_U1111)))))
% 164.23/29.55
% 164.23/29.55 [235] BETA_IMPLY : (ssItem(skolem_U1111) => ! [V104_104] : ((ssItem(V104_104) => (geq(skolem_U1111, V104_104) <=> leq(V104_104, skolem_U1111)))))
% 164.23/29.55 -> [236] ~ssItem(skolem_U1111)
% 164.23/29.55 -> [237] ! [V104_104] : ((ssItem(V104_104) => (geq(skolem_U1111, V104_104) <=> leq(V104_104, skolem_U1111))))
% 164.23/29.55
% 164.23/29.55 [236] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [237] GAMMA_FORALL : ! [U105_105] : ((ssItem(U105_105) => ! [V106_106] : ((ssItem(V106_106) => (lt(U105_105, V106_106) => ~lt(V106_106, U105_105))))))
% 164.23/29.55 -> [238] (ssItem(skolem_U1111) => ! [V106_106] : ((ssItem(V106_106) => (lt(skolem_U1111, V106_106) => ~lt(V106_106, skolem_U1111)))))
% 164.23/29.55
% 164.23/29.55 [238] BETA_IMPLY : (ssItem(skolem_U1111) => ! [V106_106] : ((ssItem(V106_106) => (lt(skolem_U1111, V106_106) => ~lt(V106_106, skolem_U1111)))))
% 164.23/29.55 -> [239] ~ssItem(skolem_U1111)
% 164.23/29.55 -> [240] ! [V106_106] : ((ssItem(V106_106) => (lt(skolem_U1111, V106_106) => ~lt(V106_106, skolem_U1111))))
% 164.23/29.55
% 164.23/29.55 [239] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [240] GAMMA_FORALL : ! [U107_107] : ((ssItem(U107_107) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(U107_107, V108_108) & lt(V108_108, W109_109)) => lt(U107_107, W109_109))))))))
% 164.23/29.55 -> [241] (ssItem(hd(skolem_U212212)) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(hd(skolem_U212212), V108_108) & lt(V108_108, W109_109)) => lt(hd(skolem_U212212), W109_109)))))))
% 164.23/29.55
% 164.23/29.55 [241] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(hd(skolem_U212212), V108_108) & lt(V108_108, W109_109)) => lt(hd(skolem_U212212), W109_109)))))))
% 164.23/29.55 -> [242] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [243] ! [V108_108] : ((ssItem(V108_108) => ! [W109_109] : ((ssItem(W109_109) => ((lt(hd(skolem_U212212), V108_108) & lt(V108_108, W109_109)) => lt(hd(skolem_U212212), W109_109))))))
% 164.23/29.55
% 164.23/29.55 [242] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [243] GAMMA_FORALL : ! [U110_110] : ((ssItem(U110_110) => ! [V111_111] : ((ssItem(V111_111) => (gt(U110_110, V111_111) <=> lt(V111_111, U110_110))))))
% 164.23/29.55 -> [244] (ssItem(hd(skolem_U212212)) => ! [V111_111] : ((ssItem(V111_111) => (gt(hd(skolem_U212212), V111_111) <=> lt(V111_111, hd(skolem_U212212))))))
% 164.23/29.55
% 164.23/29.55 [244] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ! [V111_111] : ((ssItem(V111_111) => (gt(hd(skolem_U212212), V111_111) <=> lt(V111_111, hd(skolem_U212212))))))
% 164.23/29.55 -> [245] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [246] ! [V111_111] : ((ssItem(V111_111) => (gt(hd(skolem_U212212), V111_111) <=> lt(V111_111, hd(skolem_U212212)))))
% 164.23/29.55
% 164.23/29.55 [245] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [246] GAMMA_FORALL : ! [U112_112] : ((ssItem(U112_112) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), U112_112) <=> (memberP(V113_113, U112_112) | memberP(W114_114, U112_112)))))))))
% 164.23/29.55 -> [247] (ssItem(hd(skolem_U212212)) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), hd(skolem_U212212)) <=> (memberP(V113_113, hd(skolem_U212212)) | memberP(W114_114, hd(skolem_U212212)))))))))
% 164.23/29.55
% 164.23/29.55 [247] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), hd(skolem_U212212)) <=> (memberP(V113_113, hd(skolem_U212212)) | memberP(W114_114, hd(skolem_U212212)))))))))
% 164.23/29.55 -> [248] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [249] ! [V113_113] : ((ssList(V113_113) => ! [W114_114] : ((ssList(W114_114) => (memberP(app(V113_113, W114_114), hd(skolem_U212212)) <=> (memberP(V113_113, hd(skolem_U212212)) | memberP(W114_114, hd(skolem_U212212))))))))
% 164.23/29.55
% 164.23/29.55 [248] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [249] GAMMA_FORALL : ! [U115_115] : ((ssItem(U115_115) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), U115_115) <=> (=(U115_115, V116_116) | memberP(W117_117, U115_115)))))))))
% 164.23/29.55 -> [250] (ssItem(hd(skolem_U212212)) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), hd(skolem_U212212)) <=> (=(hd(skolem_U212212), V116_116) | memberP(W117_117, hd(skolem_U212212)))))))))
% 164.23/29.55
% 164.23/29.55 [250] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), hd(skolem_U212212)) <=> (=(hd(skolem_U212212), V116_116) | memberP(W117_117, hd(skolem_U212212)))))))))
% 164.23/29.55 -> [251] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [252] ! [V116_116] : ((ssItem(V116_116) => ! [W117_117] : ((ssList(W117_117) => (memberP(cons(V116_116, W117_117), hd(skolem_U212212)) <=> (=(hd(skolem_U212212), V116_116) | memberP(W117_117, hd(skolem_U212212))))))))
% 164.23/29.55
% 164.23/29.55 [251] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [252] GAMMA_FORALL : ! [U118_118] : ((ssItem(U118_118) => ~memberP(nil, U118_118)))
% 164.23/29.55 -> [253] (ssItem(hd(skolem_U212212)) => ~memberP(nil, hd(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [253] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ~memberP(nil, hd(skolem_U212212)))
% 164.23/29.55 -> [254] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [255] ~memberP(nil, hd(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [254] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [255] GAMMA_FORALL : ! [U119_119] : ((ssList(U119_119) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(U119_119, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(U119_119, W121_121))))))))
% 164.23/29.55 -> [256] (ssList(skolem_W214214) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(skolem_W214214, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(skolem_W214214, W121_121)))))))
% 164.23/29.55
% 164.23/29.55 [256] BETA_IMPLY : (ssList(skolem_W214214) => ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(skolem_W214214, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(skolem_W214214, W121_121)))))))
% 164.23/29.55 -> [257] ~ssList(skolem_W214214)
% 164.23/29.55 -> [258] ! [V120_120] : ((ssList(V120_120) => ! [W121_121] : ((ssList(W121_121) => ((frontsegP(skolem_W214214, V120_120) & frontsegP(V120_120, W121_121)) => frontsegP(skolem_W214214, W121_121))))))
% 164.23/29.55
% 164.23/29.55 [257] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [258] GAMMA_FORALL : ! [U122_122] : ((ssList(U122_122) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(U122_122, V123_123) & frontsegP(V123_123, U122_122)) => =(U122_122, V123_123))))))
% 164.23/29.55 -> [259] (ssList(tl(skolem_U212212)) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(tl(skolem_U212212), V123_123) & frontsegP(V123_123, tl(skolem_U212212))) => =(tl(skolem_U212212), V123_123)))))
% 164.23/29.55
% 164.23/29.55 [259] BETA_IMPLY : (ssList(tl(skolem_U212212)) => ! [V123_123] : ((ssList(V123_123) => ((frontsegP(tl(skolem_U212212), V123_123) & frontsegP(V123_123, tl(skolem_U212212))) => =(tl(skolem_U212212), V123_123)))))
% 164.23/29.55 -> [260] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [261] ! [V123_123] : ((ssList(V123_123) => ((frontsegP(tl(skolem_U212212), V123_123) & frontsegP(V123_123, tl(skolem_U212212))) => =(tl(skolem_U212212), V123_123))))
% 164.23/29.55
% 164.23/29.55 [260] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [261] GAMMA_FORALL : ! [U124_124] : ((ssList(U124_124) => frontsegP(U124_124, U124_124)))
% 164.23/29.55 -> [262] (ssList(tl(skolem_U212212)) => frontsegP(tl(skolem_U212212), tl(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [262] BETA_IMPLY : (ssList(tl(skolem_U212212)) => frontsegP(tl(skolem_U212212), tl(skolem_U212212)))
% 164.23/29.55 -> [263] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [264] frontsegP(tl(skolem_U212212), tl(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [263] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [264] GAMMA_FORALL : ! [U125_125] : ((ssList(U125_125) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(U125_125, V126_126) => frontsegP(app(U125_125, W127_127), V126_126))))))))
% 164.23/29.55 -> [265] (ssList(skolem_W214214) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(skolem_W214214, V126_126) => frontsegP(app(skolem_W214214, W127_127), V126_126)))))))
% 164.23/29.55
% 164.23/29.55 [265] BETA_IMPLY : (ssList(skolem_W214214) => ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(skolem_W214214, V126_126) => frontsegP(app(skolem_W214214, W127_127), V126_126)))))))
% 164.23/29.55 -> [266] ~ssList(skolem_W214214)
% 164.23/29.55 -> [267] ! [V126_126] : ((ssList(V126_126) => ! [W127_127] : ((ssList(W127_127) => (frontsegP(skolem_W214214, V126_126) => frontsegP(app(skolem_W214214, W127_127), V126_126))))))
% 164.23/29.55
% 164.23/29.55 [266] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [267] GAMMA_FORALL : ! [U128_128] : ((ssItem(U128_128) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(U128_128, W130_130), cons(V129_129, X131_131)) <=> (=(U128_128, V129_129) & frontsegP(W130_130, X131_131)))))))))))
% 164.23/29.55 -> [268] (ssItem(hd(skolem_U212212)) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(hd(skolem_U212212), W130_130), cons(V129_129, X131_131)) <=> (=(hd(skolem_U212212), V129_129) & frontsegP(W130_130, X131_131))))))))))
% 164.23/29.55
% 164.23/29.55 [268] BETA_IMPLY : (ssItem(hd(skolem_U212212)) => ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(hd(skolem_U212212), W130_130), cons(V129_129, X131_131)) <=> (=(hd(skolem_U212212), V129_129) & frontsegP(W130_130, X131_131))))))))))
% 164.23/29.55 -> [269] ~ssItem(hd(skolem_U212212))
% 164.23/29.55 -> [270] ! [V129_129] : ((ssItem(V129_129) => ! [W130_130] : ((ssList(W130_130) => ! [X131_131] : ((ssList(X131_131) => (frontsegP(cons(hd(skolem_U212212), W130_130), cons(V129_129, X131_131)) <=> (=(hd(skolem_U212212), V129_129) & frontsegP(W130_130, X131_131)))))))))
% 164.23/29.55
% 164.23/29.55 [269] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [270] GAMMA_FORALL : ! [U132_132] : ((ssList(U132_132) => frontsegP(U132_132, nil)))
% 164.23/29.55 -> [271] (ssList(tl(skolem_U212212)) => frontsegP(tl(skolem_U212212), nil))
% 164.23/29.55
% 164.23/29.55 [271] BETA_IMPLY : (ssList(tl(skolem_U212212)) => frontsegP(tl(skolem_U212212), nil))
% 164.23/29.55 -> [272] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [273] frontsegP(tl(skolem_U212212), nil)
% 164.23/29.55
% 164.23/29.55 [272] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [273] GAMMA_FORALL : ! [U133_133] : ((ssList(U133_133) => (frontsegP(nil, U133_133) <=> =(nil, U133_133))))
% 164.23/29.55 -> [274] (ssList(nil) => (frontsegP(nil, nil) <=> =(nil, nil)))
% 164.23/29.55
% 164.23/29.55 [274] BETA_IMPLY : (ssList(nil) => (frontsegP(nil, nil) <=> =(nil, nil)))
% 164.23/29.55 -> [275] ~ssList(nil)
% 164.23/29.55 -> [276] (frontsegP(nil, nil) <=> =(nil, nil))
% 164.23/29.55
% 164.23/29.55 [275] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [276] BETA_EQUIV : (frontsegP(nil, nil) <=> =(nil, nil))
% 164.23/29.55 -> [277] ~frontsegP(nil, nil), ~=(nil, nil)
% 164.23/29.55 -> [278] frontsegP(nil, nil), =(nil, nil)
% 164.23/29.55
% 164.23/29.55 [277] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [278] GAMMA_FORALL : ! [U134_134] : ((ssList(U134_134) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(U134_134, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(U134_134, W136_136))))))))
% 164.23/29.55 -> [279] (ssList(skolem_U212212) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(skolem_U212212, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(skolem_U212212, W136_136)))))))
% 164.23/29.55
% 164.23/29.55 [279] BETA_IMPLY : (ssList(skolem_U212212) => ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(skolem_U212212, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(skolem_U212212, W136_136)))))))
% 164.23/29.55 -> [280] ~ssList(skolem_U212212)
% 164.23/29.55 -> [281] ! [V135_135] : ((ssList(V135_135) => ! [W136_136] : ((ssList(W136_136) => ((rearsegP(skolem_U212212, V135_135) & rearsegP(V135_135, W136_136)) => rearsegP(skolem_U212212, W136_136))))))
% 164.23/29.55
% 164.23/29.55 [280] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [281] GAMMA_FORALL : ! [U137_137] : ((ssList(U137_137) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(U137_137, V138_138) & rearsegP(V138_138, U137_137)) => =(U137_137, V138_138))))))
% 164.23/29.55 -> [282] (ssList(skolem_U212212) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(skolem_U212212, V138_138) & rearsegP(V138_138, skolem_U212212)) => =(skolem_U212212, V138_138)))))
% 164.23/29.55
% 164.23/29.55 [282] BETA_IMPLY : (ssList(skolem_U212212) => ! [V138_138] : ((ssList(V138_138) => ((rearsegP(skolem_U212212, V138_138) & rearsegP(V138_138, skolem_U212212)) => =(skolem_U212212, V138_138)))))
% 164.23/29.55 -> [283] ~ssList(skolem_U212212)
% 164.23/29.55 -> [284] ! [V138_138] : ((ssList(V138_138) => ((rearsegP(skolem_U212212, V138_138) & rearsegP(V138_138, skolem_U212212)) => =(skolem_U212212, V138_138))))
% 164.23/29.55
% 164.23/29.55 [283] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [284] GAMMA_FORALL : ! [U139_139] : ((ssList(U139_139) => rearsegP(U139_139, U139_139)))
% 164.23/29.55 -> [285] (ssList(skolem_V213213) => rearsegP(skolem_V213213, skolem_V213213))
% 164.23/29.55
% 164.23/29.55 [285] BETA_IMPLY : (ssList(skolem_V213213) => rearsegP(skolem_V213213, skolem_V213213))
% 164.23/29.55 -> [286] ~ssList(skolem_V213213)
% 164.23/29.55 -> [287] rearsegP(skolem_V213213, skolem_V213213)
% 164.23/29.55
% 164.23/29.55 [286] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [287] GAMMA_FORALL : ! [U140_140] : ((ssList(U140_140) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(U140_140, V141_141) => rearsegP(app(W142_142, U140_140), V141_141))))))))
% 164.23/29.55 -> [288] (ssList(skolem_U212212) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(skolem_U212212, V141_141) => rearsegP(app(W142_142, skolem_U212212), V141_141)))))))
% 164.23/29.55
% 164.23/29.55 [288] BETA_IMPLY : (ssList(skolem_U212212) => ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(skolem_U212212, V141_141) => rearsegP(app(W142_142, skolem_U212212), V141_141)))))))
% 164.23/29.55 -> [289] ~ssList(skolem_U212212)
% 164.23/29.55 -> [290] ! [V141_141] : ((ssList(V141_141) => ! [W142_142] : ((ssList(W142_142) => (rearsegP(skolem_U212212, V141_141) => rearsegP(app(W142_142, skolem_U212212), V141_141))))))
% 164.23/29.55
% 164.23/29.55 [289] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [290] GAMMA_FORALL : ! [U143_143] : ((ssList(U143_143) => rearsegP(U143_143, nil)))
% 164.23/29.55 -> [291] (ssList(skolem_U212212) => rearsegP(skolem_U212212, nil))
% 164.23/29.55
% 164.23/29.55 [291] BETA_IMPLY : (ssList(skolem_U212212) => rearsegP(skolem_U212212, nil))
% 164.23/29.55 -> [292] ~ssList(skolem_U212212)
% 164.23/29.55 -> [293] rearsegP(skolem_U212212, nil)
% 164.23/29.55
% 164.23/29.55 [292] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [293] GAMMA_FORALL : ! [U144_144] : ((ssList(U144_144) => (rearsegP(nil, U144_144) <=> =(nil, U144_144))))
% 164.23/29.55 -> [294] (ssList(skolem_U212212) => (rearsegP(nil, skolem_U212212) <=> =(nil, skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [294] BETA_IMPLY : (ssList(skolem_U212212) => (rearsegP(nil, skolem_U212212) <=> =(nil, skolem_U212212)))
% 164.23/29.55 -> [295] ~ssList(skolem_U212212)
% 164.23/29.55 -> [296] (rearsegP(nil, skolem_U212212) <=> =(nil, skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [295] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [296] BETA_EQUIV : (rearsegP(nil, skolem_U212212) <=> =(nil, skolem_U212212))
% 164.23/29.55 -> [297] ~rearsegP(nil, skolem_U212212), ~=(nil, skolem_U212212)
% 164.23/29.55 -> [298] rearsegP(nil, skolem_U212212), =(nil, skolem_U212212)
% 164.23/29.55
% 164.23/29.55 [298] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [297] GAMMA_FORALL : ! [U145_145] : ((ssList(U145_145) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(U145_145, V146_146) & segmentP(V146_146, W147_147)) => segmentP(U145_145, W147_147))))))))
% 164.23/29.55 -> [299] (ssList(tl(skolem_U212212)) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(tl(skolem_U212212), V146_146) & segmentP(V146_146, W147_147)) => segmentP(tl(skolem_U212212), W147_147)))))))
% 164.23/29.55
% 164.23/29.55 [299] BETA_IMPLY : (ssList(tl(skolem_U212212)) => ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(tl(skolem_U212212), V146_146) & segmentP(V146_146, W147_147)) => segmentP(tl(skolem_U212212), W147_147)))))))
% 164.23/29.55 -> [300] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [301] ! [V146_146] : ((ssList(V146_146) => ! [W147_147] : ((ssList(W147_147) => ((segmentP(tl(skolem_U212212), V146_146) & segmentP(V146_146, W147_147)) => segmentP(tl(skolem_U212212), W147_147))))))
% 164.23/29.55
% 164.23/29.55 [300] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [301] GAMMA_FORALL : ! [U148_148] : ((ssList(U148_148) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(U148_148, V149_149) & segmentP(V149_149, U148_148)) => =(U148_148, V149_149))))))
% 164.23/29.55 -> [302] (ssList(skolem_Z217217) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(skolem_Z217217, V149_149) & segmentP(V149_149, skolem_Z217217)) => =(skolem_Z217217, V149_149)))))
% 164.23/29.55
% 164.23/29.55 [302] BETA_IMPLY : (ssList(skolem_Z217217) => ! [V149_149] : ((ssList(V149_149) => ((segmentP(skolem_Z217217, V149_149) & segmentP(V149_149, skolem_Z217217)) => =(skolem_Z217217, V149_149)))))
% 164.23/29.55 -> [303] ~ssList(skolem_Z217217)
% 164.23/29.55 -> [304] ! [V149_149] : ((ssList(V149_149) => ((segmentP(skolem_Z217217, V149_149) & segmentP(V149_149, skolem_Z217217)) => =(skolem_Z217217, V149_149))))
% 164.23/29.55
% 164.23/29.55 [303] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [304] GAMMA_FORALL : ! [U150_150] : ((ssList(U150_150) => segmentP(U150_150, U150_150)))
% 164.23/29.55 -> [305] (ssList(tl(skolem_U212212)) => segmentP(tl(skolem_U212212), tl(skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [305] BETA_IMPLY : (ssList(tl(skolem_U212212)) => segmentP(tl(skolem_U212212), tl(skolem_U212212)))
% 164.23/29.55 -> [306] ~ssList(tl(skolem_U212212))
% 164.23/29.55 -> [307] segmentP(tl(skolem_U212212), tl(skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [306] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [307] GAMMA_FORALL : ! [U151_151] : ((ssList(U151_151) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(U151_151, V152_152) => segmentP(app(app(W153_153, U151_151), X154_154), V152_152))))))))))
% 164.23/29.55 -> [308] (ssList(skolem_X1218218) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(skolem_X1218218, V152_152) => segmentP(app(app(W153_153, skolem_X1218218), X154_154), V152_152)))))))))
% 164.23/29.55
% 164.23/29.55 [308] BETA_IMPLY : (ssList(skolem_X1218218) => ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(skolem_X1218218, V152_152) => segmentP(app(app(W153_153, skolem_X1218218), X154_154), V152_152)))))))))
% 164.23/29.55 -> [309] ~ssList(skolem_X1218218)
% 164.23/29.55 -> [310] ! [V152_152] : ((ssList(V152_152) => ! [W153_153] : ((ssList(W153_153) => ! [X154_154] : ((ssList(X154_154) => (segmentP(skolem_X1218218, V152_152) => segmentP(app(app(W153_153, skolem_X1218218), X154_154), V152_152))))))))
% 164.23/29.55
% 164.23/29.55 [309] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [310] GAMMA_FORALL : ! [U155_155] : ((ssList(U155_155) => segmentP(U155_155, nil)))
% 164.23/29.55 -> [311] (ssList(nil) => segmentP(nil, nil))
% 164.23/29.55
% 164.23/29.55 [311] BETA_IMPLY : (ssList(nil) => segmentP(nil, nil))
% 164.23/29.55 -> [312] ~ssList(nil)
% 164.23/29.55 -> [313] segmentP(nil, nil)
% 164.23/29.55
% 164.23/29.55 [312] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [313] GAMMA_FORALL : ! [U156_156] : ((ssList(U156_156) => (segmentP(nil, U156_156) <=> =(nil, U156_156))))
% 164.23/29.55 -> [314] (ssList(skolem_U212212) => (segmentP(nil, skolem_U212212) <=> =(nil, skolem_U212212)))
% 164.23/29.55
% 164.23/29.55 [314] BETA_IMPLY : (ssList(skolem_U212212) => (segmentP(nil, skolem_U212212) <=> =(nil, skolem_U212212)))
% 164.23/29.55 -> [315] ~ssList(skolem_U212212)
% 164.23/29.55 -> [316] (segmentP(nil, skolem_U212212) <=> =(nil, skolem_U212212))
% 164.23/29.55
% 164.23/29.55 [315] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [316] BETA_EQUIV : (segmentP(nil, skolem_U212212) <=> =(nil, skolem_U212212))
% 164.23/29.55 -> [317] ~segmentP(nil, skolem_U212212), ~=(nil, skolem_U212212)
% 164.23/29.55 -> [318] segmentP(nil, skolem_U212212), =(nil, skolem_U212212)
% 164.23/29.55
% 164.23/29.55 [318] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [317] GAMMA_FORALL : ! [U157_157] : ((ssItem(U157_157) => cyclefreeP(cons(U157_157, nil))))
% 164.23/29.55 -> [319] (ssItem(skolem_V1212) => cyclefreeP(cons(skolem_V1212, nil)))
% 164.23/29.55
% 164.23/29.55 [319] BETA_IMPLY : (ssItem(skolem_V1212) => cyclefreeP(cons(skolem_V1212, nil)))
% 164.23/29.55 -> [320] ~ssItem(skolem_V1212)
% 164.23/29.55 -> [321] cyclefreeP(cons(skolem_V1212, nil))
% 164.23/29.55
% 164.23/29.55 [320] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [321] GAMMA_FORALL : ! [U158_158] : ((ssItem(U158_158) => totalorderP(cons(U158_158, nil))))
% 164.23/29.55 -> [322] (ssItem(skolem_U1111) => totalorderP(cons(skolem_U1111, nil)))
% 164.23/29.55
% 164.23/29.55 [322] BETA_IMPLY : (ssItem(skolem_U1111) => totalorderP(cons(skolem_U1111, nil)))
% 164.23/29.55 -> [323] ~ssItem(skolem_U1111)
% 164.23/29.55 -> [324] totalorderP(cons(skolem_U1111, nil))
% 164.23/29.55
% 164.23/29.55 [323] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [324] GAMMA_FORALL : ! [U159_159] : ((ssItem(U159_159) => strictorderP(cons(U159_159, nil))))
% 164.23/29.55 -> [325] (ssItem(skolem_Y216216) => strictorderP(cons(skolem_Y216216, nil)))
% 164.23/29.55
% 164.23/29.55 [325] BETA_IMPLY : (ssItem(skolem_Y216216) => strictorderP(cons(skolem_Y216216, nil)))
% 164.23/29.55 -> [326] ~ssItem(skolem_Y216216)
% 164.23/29.55 -> [327] strictorderP(cons(skolem_Y216216, nil))
% 164.23/29.55
% 164.23/29.55 [326] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [327] GAMMA_FORALL : ! [U160_160] : ((ssItem(U160_160) => totalorderedP(cons(U160_160, nil))))
% 164.23/29.55 -> [328] (ssItem(skolem_U1111) => totalorderedP(cons(skolem_U1111, nil)))
% 164.23/29.55
% 164.23/29.55 [328] BETA_IMPLY : (ssItem(skolem_U1111) => totalorderedP(cons(skolem_U1111, nil)))
% 164.23/29.55 -> [329] ~ssItem(skolem_U1111)
% 164.23/29.55 -> [330] totalorderedP(cons(skolem_U1111, nil))
% 164.23/29.55
% 164.23/29.55 [329] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [330] GAMMA_FORALL : ! [U161_161] : ((ssItem(U161_161) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(U161_161, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(U161_161, hd(V162_162)))))))))
% 164.23/29.55 -> [331] (ssItem(skolem_V1212) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(skolem_V1212, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(skolem_V1212, hd(V162_162))))))))
% 164.23/29.55
% 164.23/29.55 [331] BETA_IMPLY : (ssItem(skolem_V1212) => ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(skolem_V1212, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(skolem_V1212, hd(V162_162))))))))
% 164.23/29.55 -> [332] ~ssItem(skolem_V1212)
% 164.23/29.55 -> [333] ! [V162_162] : ((ssList(V162_162) => (totalorderedP(cons(skolem_V1212, V162_162)) <=> (=(nil, V162_162) | ((~=(nil, V162_162) & totalorderedP(V162_162)) & leq(skolem_V1212, hd(V162_162)))))))
% 164.23/29.55
% 164.23/29.55 [332] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [333] GAMMA_FORALL : ! [U163_163] : ((ssItem(U163_163) => strictorderedP(cons(U163_163, nil))))
% 164.23/29.55 -> [334] (ssItem(skolem_Y216216) => strictorderedP(cons(skolem_Y216216, nil)))
% 164.23/29.55
% 164.23/29.55 [334] BETA_IMPLY : (ssItem(skolem_Y216216) => strictorderedP(cons(skolem_Y216216, nil)))
% 164.23/29.55 -> [335] ~ssItem(skolem_Y216216)
% 164.23/29.55 -> [336] strictorderedP(cons(skolem_Y216216, nil))
% 164.23/29.55
% 164.23/29.55 [336] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 [335] CLOSURE : =
% 164.23/29.55
% 164.23/29.55 % SZS output end Proof for theBenchmark.p
% 164.23/29.55 [29.193658s][1][Res] 366392 goroutines created
% 164.23/29.55 ==== Result ====
% 164.23/29.55 [29.193699s][1][Res] VALID
% 164.23/29.55 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------