TSTP Solution File: SYN460+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 : Fri Sep 1 02:03:23 EDT 2023
% Result : Theorem 0.59s 0.83s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n019.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat Aug 26 20:06:44 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.59/0.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TRdVxL13Pa/cvc5---1.0.5_31196.p...
% 0.59/0.83 ------- get file name : TPTP file name is SYN460+1
% 0.59/0.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31196.smt2...
% 0.59/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.83 % SZS status Theorem for SYN460+1
% 0.59/0.83 % SZS output start Proof for SYN460+1
% 0.59/0.83 (
% 0.59/0.83 (let ((_let_1 (tptp.c0_1 tptp.a2252))) (let ((_let_2 (tptp.c1_1 tptp.a2252))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.c2_1 tptp.a2252))) (let ((_let_5 (not _let_4))) (let ((_let_6 (and tptp.ndr1_0 _let_5 _let_3 _let_1))) (let ((_let_7 (tptp.c3_1 tptp.a2243))) (let ((_let_8 (tptp.c0_1 tptp.a2243))) (let ((_let_9 (tptp.c1_1 tptp.a2243))) (let ((_let_10 (and tptp.ndr1_0 _let_9 _let_8 _let_7))) (let ((_let_11 (not tptp.hskp57))) (let ((_let_12 (tptp.c2_1 tptp.a2242))) (let ((_let_13 (tptp.c3_1 tptp.a2242))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c1_1 tptp.a2242))) (let ((_let_16 (not _let_15))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_14 _let_12))) (let ((_let_18 (tptp.c3_1 tptp.a2235))) (let ((_let_19 (tptp.c2_1 tptp.a2235))) (let ((_let_20 (tptp.c0_1 tptp.a2235))) (let ((_let_21 (and tptp.ndr1_0 _let_20 _let_19 _let_18))) (let ((_let_22 (tptp.c0_1 tptp.a2226))) (let ((_let_23 (tptp.c1_1 tptp.a2226))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c2_1 tptp.a2226))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_24 _let_22))) (let ((_let_27 (tptp.c2_1 tptp.a2218))) (let ((_let_28 (tptp.c3_1 tptp.a2218))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.c0_1 tptp.a2218))) (let ((_let_31 (and tptp.ndr1_0 _let_30 _let_29 _let_27))) (let ((_let_32 (tptp.c0_1 tptp.a2208))) (let ((_let_33 (tptp.c3_1 tptp.a2208))) (let ((_let_34 (tptp.c2_1 tptp.a2208))) (let ((_let_35 (not _let_34))) (let ((_let_36 (and tptp.ndr1_0 _let_35 _let_33 _let_32))) (let ((_let_37 (not tptp.hskp43))) (let ((_let_38 (tptp.c0_1 tptp.a2207))) (let ((_let_39 (tptp.c3_1 tptp.a2207))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c1_1 tptp.a2207))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_38))) (let ((_let_43 (not tptp.hskp42))) (let ((_let_44 (tptp.c3_1 tptp.a2204))) (let ((_let_45 (tptp.c1_1 tptp.a2204))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c2_1 tptp.a2204))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_44))) (let ((_let_49 (tptp.c1_1 tptp.a2200))) (let ((_let_50 (tptp.c2_1 tptp.a2200))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c0_1 tptp.a2200))) (let ((_let_53 (not _let_52))) (let ((_let_54 (and tptp.ndr1_0 _let_53 _let_51 _let_49))) (let ((_let_55 (tptp.c2_1 tptp.a2196))) (let ((_let_56 (tptp.c0_1 tptp.a2196))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c1_1 tptp.a2196))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_55))) (let ((_let_60 (tptp.c3_1 tptp.a2189))) (let ((_let_61 (tptp.c1_1 tptp.a2189))) (let ((_let_62 (tptp.c0_1 tptp.a2189))) (let ((_let_63 (not _let_62))) (let ((_let_64 (and tptp.ndr1_0 _let_63 _let_61 _let_60))) (let ((_let_65 (tptp.c1_1 tptp.a2188))) (let ((_let_66 (tptp.c2_1 tptp.a2188))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c3_1 tptp.a2188))) (let ((_let_69 (not _let_68))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_67 _let_65))) (let ((_let_71 (not tptp.hskp33))) (let ((_let_72 (tptp.c0_1 tptp.a2186))) (let ((_let_73 (tptp.c2_1 tptp.a2186))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c3_1 tptp.a2186))) (let ((_let_76 (not _let_75))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_74 _let_72))) (let ((_let_78 (not tptp.hskp32))) (let ((_let_79 (tptp.c2_1 tptp.a2178))) (let ((_let_80 (tptp.c0_1 tptp.a2178))) (let ((_let_81 (tptp.c3_1 tptp.a2178))) (let ((_let_82 (not _let_81))) (let ((_let_83 (and tptp.ndr1_0 _let_82 _let_80 _let_79))) (let ((_let_84 (not tptp.hskp26))) (let ((_let_85 (tptp.c1_1 tptp.a2244))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c2_1 tptp.a2244))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.c0_1 tptp.a2244))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_86))) (let ((_let_91 (not tptp.hskp22))) (let ((_let_92 (tptp.c3_1 tptp.a2237))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c0_1 tptp.a2237))) (let ((_let_95 (tptp.c1_1 tptp.a2237))) (let ((_let_96 (and tptp.ndr1_0 _let_95 _let_94 _let_93))) (let ((_let_97 (tptp.c2_1 tptp.a2222))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c3_1 tptp.a2222))) (let ((_let_100 (tptp.c0_1 tptp.a2222))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_99 _let_98))) (let ((_let_102 (tptp.c3_1 tptp.a2211))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c1_1 tptp.a2211))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c2_1 tptp.a2211))) (let ((_let_107 (and tptp.ndr1_0 _let_106 _let_105 _let_103))) (let ((_let_108 (not tptp.hskp12))) (let ((_let_109 (tptp.c2_1 tptp.a2209))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c1_1 tptp.a2209))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.c0_1 tptp.a2209))) (let ((_let_114 (and tptp.ndr1_0 _let_113 _let_112 _let_110))) (let ((_let_115 (tptp.c3_1 tptp.a2206))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c0_1 tptp.a2206))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c2_1 tptp.a2206))) (let ((_let_120 (not _let_119))) (let ((_let_121 (and tptp.ndr1_0 _let_120 _let_118 _let_116))) (let ((_let_122 (tptp.c3_1 tptp.a2203))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.c1_1 tptp.a2203))) (let ((_let_125 (not _let_124))) (let ((_let_126 (and tptp.ndr1_0 _let_125 (tptp.c0_1 tptp.a2203) _let_123))) (let ((_let_127 (tptp.c0_1 tptp.a2202))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.c1_1 tptp.a2202))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.c2_1 tptp.a2202))) (let ((_let_132 (not _let_131))) (let ((_let_133 (and tptp.ndr1_0 _let_132 _let_130 _let_128))) (let ((_let_134 (tptp.c1_1 tptp.a2197))) (let ((_let_135 (not _let_134))) (let ((_let_136 (tptp.c3_1 tptp.a2197))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.c0_1 tptp.a2197))) (let ((_let_139 (not _let_138))) (let ((_let_140 (and tptp.ndr1_0 _let_139 _let_137 _let_135))) (let ((_let_141 (tptp.c0_1 tptp.a2190))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.c1_1 tptp.a2190))) (let ((_let_144 (not _let_143))) (let ((_let_145 (tptp.c2_1 tptp.a2190))) (let ((_let_146 (and tptp.ndr1_0 _let_145 _let_144 _let_142))) (let ((_let_147 (not tptp.hskp3))) (let ((_let_148 (tptp.c2_1 tptp.a2187))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.c1_1 tptp.a2187))) (let ((_let_151 (tptp.c3_1 tptp.a2187))) (let ((_let_152 (and tptp.ndr1_0 _let_151 _let_150 _let_149))) (let ((_let_153 (tptp.c2_1 tptp.a2181))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a2181))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.c0_1 tptp.a2181))) (let ((_let_158 (not _let_157))) (let ((_let_159 (and tptp.ndr1_0 _let_158 _let_156 _let_154))) (let ((_let_160 (not tptp.hskp0))) (let ((_let_161 (not (not (and (or _let_160 _let_159) (or (not tptp.hskp1) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2182) (not (tptp.c0_1 tptp.a2182)) (not (tptp.c2_1 tptp.a2182)))) (or (not tptp.hskp2) _let_152) (or _let_147 _let_146) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2191) (not (tptp.c2_1 tptp.a2191)) (not (tptp.c1_1 tptp.a2191)))) (or (not tptp.hskp5) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2192)) (tptp.c1_1 tptp.a2192) (not (tptp.c3_1 tptp.a2192)))) (or (not tptp.hskp6) _let_140) (or (not tptp.hskp7) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2198) (tptp.c0_1 tptp.a2198) (not (tptp.c3_1 tptp.a2198)))) (or (not tptp.hskp8) _let_133) (or (not tptp.hskp9) _let_126) (or (not tptp.hskp10) _let_121) (or (not tptp.hskp11) _let_114) (or _let_108 _let_107) (or (not tptp.hskp13) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2212) (tptp.c2_1 tptp.a2212) (not (tptp.c3_1 tptp.a2212)))) (or (not tptp.hskp14) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a2213)) (tptp.c2_1 tptp.a2213) (not (tptp.c0_1 tptp.a2213)))) (or (not tptp.hskp15) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a2217)) (tptp.c1_1 tptp.a2217) (not (tptp.c0_1 tptp.a2217)))) (or (not tptp.hskp16) (and tptp.ndr1_0 (not (tptp.c2_1 tptp.a2220)) (not (tptp.c1_1 tptp.a2220)) (not (tptp.c3_1 tptp.a2220)))) (or (not tptp.hskp17) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2221)) (tptp.c2_1 tptp.a2221) (not (tptp.c3_1 tptp.a2221)))) (or (not tptp.hskp18) _let_101) (or (not tptp.hskp19) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2233)) (not (tptp.c1_1 tptp.a2233)) (not (tptp.c3_1 tptp.a2233)))) (or (not tptp.hskp20) _let_96) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2239) (not (tptp.c0_1 tptp.a2239)) (not (tptp.c3_1 tptp.a2239)))) (or _let_91 _let_90) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2245) (tptp.c0_1 tptp.a2245) (not (tptp.c1_1 tptp.a2245)))) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2246) (not (tptp.c0_1 tptp.a2246)) (not (tptp.c3_1 tptp.a2246)))) (or (not tptp.hskp25) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2249) (tptp.c2_1 tptp.a2249) (not (tptp.c0_1 tptp.a2249)))) (or _let_84 _let_83) (or (not tptp.hskp27) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a2179)) (not (tptp.c2_1 tptp.a2179)) (tptp.c0_1 tptp.a2179))) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2180) (tptp.c1_1 tptp.a2180) (tptp.c2_1 tptp.a2180))) (or (not tptp.hskp29) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2183)) (tptp.c2_1 tptp.a2183) (tptp.c3_1 tptp.a2183))) (or (not tptp.hskp30) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a2184)) (not (tptp.c1_1 tptp.a2184)) (tptp.c0_1 tptp.a2184))) (or (not tptp.hskp31) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2185) (not (tptp.c2_1 tptp.a2185)) (tptp.c3_1 tptp.a2185))) (or _let_78 _let_77) (or _let_71 _let_70) (or (not tptp.hskp34) _let_64) (or (not tptp.hskp35) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2193) (not (tptp.c0_1 tptp.a2193)) (tptp.c3_1 tptp.a2193))) (or (not tptp.hskp36) (and tptp.ndr1_0 (tptp.c3_1 tptp.a2194) (not (tptp.c2_1 tptp.a2194)) (tptp.c1_1 tptp.a2194))) (or (not tptp.hskp37) _let_59) (or (not tptp.hskp38) _let_54) (or (not tptp.hskp39) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a2201)) (not (tptp.c0_1 tptp.a2201)) (tptp.c3_1 tptp.a2201))) (or (not tptp.hskp40) _let_48) (or (not tptp.hskp41) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2205) (not (tptp.c0_1 tptp.a2205)) (tptp.c1_1 tptp.a2205))) (or _let_43 _let_42) (or _let_37 _let_36) (or (not tptp.hskp44) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2215)) (tptp.c2_1 tptp.a2215) (tptp.c1_1 tptp.a2215))) (or (not tptp.hskp45) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2216) (tptp.c3_1 tptp.a2216) (tptp.c0_1 tptp.a2216))) (or (not tptp.hskp46) _let_31) (or (not tptp.hskp47) _let_26) (or (not tptp.hskp48) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2228)) (tptp.c3_1 tptp.a2228) (tptp.c2_1 tptp.a2228))) (or (not tptp.hskp49) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2229) (not (tptp.c1_1 tptp.a2229)) (tptp.c3_1 tptp.a2229))) (or (not tptp.hskp50) (and tptp.ndr1_0 (not (tptp.c3_1 tptp.a2231)) (tptp.c2_1 tptp.a2231) (tptp.c1_1 tptp.a2231))) (or (not tptp.hskp51) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2232) (tptp.c3_1 tptp.a2232) (tptp.c2_1 tptp.a2232))) (or (not tptp.hskp52) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2234) (tptp.c3_1 tptp.a2234) (tptp.c2_1 tptp.a2234))) (or (not tptp.hskp53) _let_21) (or (not tptp.hskp54) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2240) (tptp.c3_1 tptp.a2240) (tptp.c0_1 tptp.a2240))) (or (not tptp.hskp55) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2241) (tptp.c0_1 tptp.a2241) (tptp.c2_1 tptp.a2241))) (or (not tptp.hskp56) _let_17) (or _let_11 _let_10) (or (not tptp.hskp58) _let_6) (or tptp.hskp26 (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (not (tptp.c2_1 U))))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 V)) (not (tptp.c3_1 V)) (tptp.c0_1 V))))) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) tptp.hskp27 tptp.hskp28) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X)) (not (tptp.c0_1 X)) (not (tptp.c1_1 X))))) tptp.hskp0 (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 Y)) (not (tptp.c2_1 Y)) (not (tptp.c1_1 Y)))))) (or tptp.hskp1 (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 Z)) (tptp.c0_1 Z) (tptp.c3_1 Z)))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X1) (tptp.c1_1 X1) (tptp.c0_1 X1))))) (or tptp.hskp29 tptp.hskp30 tptp.hskp31) (or tptp.hskp32 tptp.hskp2 (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X2) (tptp.c1_1 X2) (tptp.c0_1 X2))))) (or tptp.hskp33 (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X3)) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) tptp.hskp34) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X4)) (not (tptp.c0_1 X4)) (not (tptp.c2_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X5) (not (tptp.c3_1 X5)) (tptp.c2_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X6)) (tptp.c2_1 X6) (tptp.c3_1 X6))))) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X7)) (not (tptp.c2_1 X7)) (tptp.c1_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X8) (tptp.c1_1 X8) (not (tptp.c2_1 X8))))) tptp.hskp3) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (not (tptp.c1_1 X9)) (not (tptp.c2_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X10) (not (tptp.c1_1 X10)) (tptp.c3_1 X10)))) tptp.hskp4) (or tptp.hskp5 tptp.hskp35 tptp.hskp36) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X11) (tptp.c0_1 X11) (tptp.c2_1 X11)))) (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X12)) (not (tptp.c2_1 X12)) (not (tptp.c0_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X13)) (tptp.c3_1 X13) (tptp.c2_1 X13))))) (or tptp.hskp34 tptp.hskp37 tptp.hskp6) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X14) (tptp.c3_1 X14) (not (tptp.c0_1 X14))))) tptp.hskp7 tptp.hskp37) (or tptp.hskp38 (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X15) (not (tptp.c1_1 X15)) (not (tptp.c0_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X16) (tptp.c1_1 X16) (tptp.c0_1 X16))))) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X17)) (tptp.c2_1 X17) (not (tptp.c1_1 X17))))) tptp.hskp39 (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X18)) (not (tptp.c0_1 X18)) (not (tptp.c2_1 X18)))))) (or tptp.hskp8 tptp.hskp9 (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X19) (tptp.c1_1 X19) (not (tptp.c0_1 X19)))))) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X20) (not (tptp.c0_1 X20)) (tptp.c1_1 X20)))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X21)) (tptp.c3_1 X21) (not (tptp.c2_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (not (tptp.c2_1 X22)) (tptp.c1_1 X22))))) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X23) (tptp.c3_1 X23) (not (tptp.c0_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X24)) (tptp.c1_1 X24) (tptp.c2_1 X24)))) tptp.hskp40) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X25)) (tptp.c3_1 X25) (tptp.c0_1 X25)))) tptp.hskp41 tptp.hskp10) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X26) (not (tptp.c1_1 X26)) (tptp.c0_1 X26)))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X27)) (not (tptp.c1_1 X27)) (tptp.c2_1 X27)))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (not (tptp.c3_1 X28)) (not (tptp.c1_1 X28)))))) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X29) (tptp.c3_1 X29) (tptp.c0_1 X29)))) tptp.hskp42 tptp.hskp43) (or tptp.hskp11 tptp.hskp3 tptp.hskp12) (or tptp.hskp13 (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c1_1 X30) (not (tptp.c3_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X31)) (tptp.c3_1 X31) (tptp.c1_1 X31))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X32) (not (tptp.c2_1 X32)) (tptp.c0_1 X32)))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X33)) (not (tptp.c3_1 X33)) (not (tptp.c2_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X34)) (tptp.c0_1 X34) (not (tptp.c1_1 X34)))))) (or tptp.hskp14 (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X35)) (tptp.c3_1 X35) (tptp.c2_1 X35)))) tptp.hskp4) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c3_1 X36) (not (tptp.c2_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X37) (tptp.c0_1 X37) (not (tptp.c2_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X38)) (tptp.c1_1 X38) (not (tptp.c3_1 X38)))))) (or tptp.hskp44 (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X39)) (tptp.c2_1 X39) (not (tptp.c0_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (not (tptp.c3_1 X40)) (not (tptp.c0_1 X40)))))) (or tptp.hskp45 tptp.hskp15 (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X41)) (not (tptp.c2_1 X41)) (tptp.c1_1 X41))))) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X42)) (tptp.c1_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp46 tptp.hskp34) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X43)) (tptp.c2_1 X43) (not (tptp.c0_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X44) (tptp.c2_1 X44) (tptp.c0_1 X44)))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X45) (tptp.c2_1 X45) (tptp.c3_1 X45))))) (or tptp.hskp16 tptp.hskp17 (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c2_1 X46)) (tptp.c1_1 X46))))) (or tptp.hskp18 (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X47)) (not (tptp.c2_1 X47)) (tptp.c3_1 X47)))) tptp.hskp31) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X48)) (not (tptp.c3_1 X48)) (not (tptp.c2_1 X48))))) tptp.hskp33 (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X49)) (not (tptp.c1_1 X49)) (tptp.c0_1 X49))))) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (not (tptp.c0_1 X50)) (tptp.c3_1 X50)))) tptp.hskp33 (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (not (tptp.c1_1 X51)) (tptp.c0_1 X51))))) (or tptp.hskp47 (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X52)) (tptp.c0_1 X52) (tptp.c2_1 X52)))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (tptp.c2_1 X53) (tptp.c3_1 X53))))) (or tptp.hskp18 (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X54)) (tptp.c3_1 X54) (tptp.c2_1 X54)))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X55) (not (tptp.c1_1 X55)) (tptp.c2_1 X55))))) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X56)) (not (tptp.c3_1 X56)) (tptp.c0_1 X56)))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X57)) (tptp.c0_1 X57) (not (tptp.c1_1 X57))))) tptp.hskp48) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (tptp.c1_1 X58) (not (tptp.c3_1 X58))))) tptp.hskp49 tptp.hskp31) (or tptp.hskp50 tptp.hskp51 (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X59)) (tptp.c0_1 X59) (not (tptp.c2_1 X59)))))) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X60)) (not (tptp.c1_1 X60)) (tptp.c0_1 X60)))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X61) (tptp.c0_1 X61) (not (tptp.c2_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X62)) (tptp.c3_1 X62) (not (tptp.c0_1 X62)))))) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X63) (not (tptp.c2_1 X63)) (tptp.c0_1 X63)))) tptp.hskp19 tptp.hskp52) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X64)) (tptp.c3_1 X64) (tptp.c1_1 X64)))) tptp.hskp53 (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X65) (tptp.c2_1 X65) (tptp.c1_1 X65))))) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X66)) (not (tptp.c0_1 X66)) (tptp.c3_1 X66)))) tptp.hskp10 (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X67) (not (tptp.c3_1 X67)) (tptp.c1_1 X67))))) (or tptp.hskp20 (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X68)) (not (tptp.c3_1 X68)) (not (tptp.c2_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X69) (tptp.c1_1 X69) (not (tptp.c0_1 X69)))))) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X70)) (tptp.c2_1 X70) (not (tptp.c1_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c3_1 X71)) (tptp.c2_1 X71) (not (tptp.c0_1 X71))))) tptp.hskp10) (or tptp.hskp21 tptp.hskp54 tptp.hskp55) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (tptp.c2_1 X72)))) tptp.hskp56 (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c2_1 X73)))))) (or tptp.hskp57 (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X74)) (tptp.c0_1 X74) (tptp.c3_1 X74)))) tptp.hskp22) (or tptp.hskp23 tptp.hskp24 (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X75)) (not (tptp.c3_1 X75)) (tptp.c1_1 X75))))) (or tptp.hskp17 (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X76)) (tptp.c3_1 X76) (not (tptp.c1_1 X76)))))) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (tptp.c0_1 X77) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X78) (tptp.c2_1 X78) (not (tptp.c1_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X79)) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79)))))) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (tptp.c2_1 X80) (tptp.c3_1 X80)))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X81) (tptp.c1_1 X81) (tptp.c3_1 X81)))) (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X82) (not (tptp.c0_1 X82)) (not (tptp.c3_1 X82)))))) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X83) (not (tptp.c2_1 X83)) (tptp.c1_1 X83)))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (not (tptp.c3_1 X84)) (not (tptp.c2_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X85) (not (tptp.c0_1 X85)) (tptp.c1_1 X85))))) (or tptp.hskp32 (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (tptp.c1_1 X86) (tptp.c2_1 X86)))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X87) (tptp.c1_1 X87) (not (tptp.c3_1 X87)))))) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X88) (not (tptp.c3_1 X88)) (not (tptp.c2_1 X88))))) (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X89) (tptp.c0_1 X89) (tptp.c2_1 X89)))) tptp.hskp25) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X90) (tptp.c0_1 X90) (not (tptp.c2_1 X90))))) tptp.hskp56 (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X91) (not (tptp.c2_1 X91)) (not (tptp.c0_1 X91)))))) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X92) (tptp.c2_1 X92) (not (tptp.c0_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c2_1 X93)) (tptp.c0_1 X93) (tptp.c1_1 X93)))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X94) (not (tptp.c0_1 X94)) (not (tptp.c2_1 X94)))))) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (not 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((_let_234 (not _let_20))) (let ((_let_235 (not _let_19))) (let ((_let_236 (or _let_235 _let_234 _let_233))) (let ((_let_237 (not _let_100))) (let ((_let_238 (or _let_215 _let_97 _let_237))) (let ((_let_239 (or _let_97 _let_213 _let_237))) (let ((_let_240 (forall ((X43 $$unsorted)) (or (not (tptp.c3_1 X43)) (tptp.c2_1 X43) (not (tptp.c0_1 X43)))))) (let ((_let_241 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_242 (not _let_241))) (let ((_let_243 (or _let_220 _let_221 _let_242))) (let ((_let_244 (forall ((X19 $$unsorted)) (or (tptp.c2_1 X19) (tptp.c1_1 X19) (not (tptp.c0_1 X19)))))) (let ((_let_245 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_246 (not _let_245))) (let ((_let_247 (or _let_208 _let_246 _let_207))) (let ((_let_248 (forall ((X72 $$unsorted)) (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (tptp.c2_1 X72))))) (let ((_let_249 (forall ((X20 $$unsorted)) (or (tptp.c3_1 X20) (not (tptp.c0_1 X20)) (tptp.c1_1 X20))))) (let ((_let_250 (forall ((X23 $$unsorted)) (or (tptp.c1_1 X23) (tptp.c3_1 X23) (not (tptp.c0_1 X23)))))) (let ((_let_251 (forall ((X64 $$unsorted)) (or (not (tptp.c0_1 X64)) (tptp.c3_1 X64) (tptp.c1_1 X64))))) (let ((_let_252 (forall ((X8 $$unsorted)) (or (tptp.c3_1 X8) (tptp.c1_1 X8) (not (tptp.c2_1 X8)))))) (let ((_let_253 (not _let_12))) (let ((_let_254 (or _let_13 _let_15 _let_253))) (let ((_let_255 (forall ((X73 $$unsorted)) (or (tptp.c1_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c2_1 X73)))))) (let ((_let_256 (or _let_234 _let_232 _let_235))) (let ((_let_257 (forall ((X3 $$unsorted)) (or (not (tptp.c0_1 X3)) (tptp.c1_1 X3) (not (tptp.c2_1 X3)))))) (let ((_let_258 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_203 (= W X53))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X53 $$unsorted)) (or (tptp.c3_1 X53) (tptp.c1_1 X53) (tptp.c2_1 X53))) _let_204) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_259 (or))) (let ((_let_260 (not _let_203))) (let ((_let_261 (_let_260))) (let ((_let_262 (EQ_RESOLVE 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(not _let_293))) (let ((_let_295 (or _let_275 _let_273 _let_294))) (let ((_let_296 (or _let_227 _let_224 _let_287))) (let ((_let_297 (forall ((X26 $$unsorted)) (or (tptp.c2_1 X26) (not (tptp.c1_1 X26)) (tptp.c0_1 X26))))) (let ((_let_298 (forall ((X78 $$unsorted)) (or (tptp.c0_1 X78) (tptp.c2_1 X78) (not (tptp.c1_1 X78)))))) (let ((_let_299 (not _let_276))) (let ((_let_300 (or _let_275 _let_299 _let_294))) (let ((_let_301 (forall ((X79 $$unsorted)) (or (not (tptp.c2_1 X79)) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79)))))) (let ((_let_302 (forall ((X33 $$unsorted)) (or (not (tptp.c0_1 X33)) (not (tptp.c3_1 X33)) (not (tptp.c2_1 X33)))))) (let ((_let_303 (not _let_271))) (let ((_let_304 (not _let_202))) (let ((_let_305 (_let_304))) (let ((_let_306 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_305)) :args _let_305)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_304) _let_202))) (REFL :args (_let_303)) :args _let_259)))) (let ((_let_307 (forall ((X70 $$unsorted)) (or (not (tptp.c3_1 X70)) (tptp.c2_1 X70) (not (tptp.c1_1 X70)))))) (let ((_let_308 (or _let_115 _let_119 _let_117))) (let ((_let_309 (forall ((X45 $$unsorted)) (or (tptp.c1_1 X45) (tptp.c2_1 X45) (tptp.c3_1 X45))))) (let ((_let_310 (forall ((X44 $$unsorted)) (or (tptp.c3_1 X44) (tptp.c2_1 X44) (tptp.c0_1 X44))))) (let ((_let_311 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_202 (= X28 X70))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X70 $$unsorted)) (or (tptp.c2_1 X70) (not (tptp.c3_1 X70)) (not (tptp.c1_1 X70)))) _let_307) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_312 (CNF_OR_NEG :args (_let_271 0)))) (let ((_let_313 (REFL :args (_let_271)))) (let ((_let_314 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_271 1)) (CONG _let_313 (MACRO_SR_PRED_INTRO :args ((= (not _let_269) _let_268))) :args _let_259)) :args ((or _let_268 _let_271))))) (let ((_let_315 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_271 2)) (CONG _let_313 (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_266))) 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(tptp.c3_1 X54) (tptp.c2_1 X54))))) (let ((_let_350 (forall ((X55 $$unsorted)) (or (tptp.c3_1 X55) (not (tptp.c1_1 X55)) (tptp.c2_1 X55))))) (let ((_let_351 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_184 :args (95)) _let_189 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_229 (= X10 X55))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X55 $$unsorted)) (or (tptp.c2_1 X55) (not (tptp.c1_1 X55)) (tptp.c3_1 X55))) _let_350) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_229 (= X10 X54))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X54 $$unsorted)) (or (tptp.c2_1 X54) (not (tptp.c1_1 X54)) (tptp.c3_1 X54))) _let_349) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) :args ((or tptp.hskp18 _let_229) false tptp.ndr1_0 true _let_350 true _let_349)))) (let ((_let_352 (_let_229))) (let ((_let_353 ((not (= (tptp.c2_1 X10) true))))) (let ((_let_354 (ASSUME :args _let_352))) (let ((_let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_354 :args (tptp.a2188 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_let_382 _let_73))) (let ((_let_391 (forall ((X86 $$unsorted)) (or (not (tptp.c0_1 X86)) (tptp.c1_1 X86) (tptp.c2_1 X86))))) (let ((_let_392 (forall ((X87 $$unsorted)) (or (tptp.c2_1 X87) (tptp.c1_1 X87) (not (tptp.c3_1 X87)))))) (let ((_let_393 (not _let_201))) (let ((_let_394 (not _let_200))) (let ((_let_395 (or _let_119 _let_394 _let_117))) (let ((_let_396 ((not (= (tptp.c2_1 X26) true))))) (let ((_let_397 (AND_ELIM _let_184 :args (10)))) (let ((_let_398 (not _let_121))) (let ((_let_399 (REORDERING (CNF_AND_POS :args (_let_121 1)) :args ((or _let_120 _let_398))))) (let ((_let_400 (REORDERING (CNF_AND_POS :args (_let_121 2)) :args ((or _let_118 _let_398))))) (let ((_let_401 (REORDERING (CNF_AND_POS :args (_let_121 3)) :args ((or _let_116 _let_398))))) (let ((_let_402 (_let_322))) (let ((_let_403 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_402)) :args _let_402)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_322) _let_198))) (REFL :args ((not _let_243))) :args _let_259)))) (let ((_let_404 (REFL :args (_let_243)))) (let ((_let_405 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_243 0)) (CONG _let_404 (MACRO_SR_PRED_INTRO :args ((= (not _let_220) _let_219))) :args _let_259)) :args ((or _let_219 _let_243))))) (let ((_let_406 (CNF_OR_NEG :args (_let_243 1)))) (let ((_let_407 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_243 2)) (CONG _let_404 (MACRO_SR_PRED_INTRO :args ((= (not _let_242) _let_241))) :args _let_259)) :args ((or _let_241 _let_243))))) (let ((_let_408 (not _let_308))) (let ((_let_409 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_308)) :args ((or _let_119 _let_117 _let_115 _let_408))) _let_401 _let_400 _let_399 :args ((or _let_398 _let_408) true _let_115 true _let_117 true _let_119)))) (let ((_let_410 (_let_381))) (let ((_let_411 ((not (= (tptp.c0_1 X17) false))))) (let ((_let_412 (ASSUME :args _let_410))) (let ((_let_413 (_let_310))) (let ((_let_414 ((not (= (tptp.c3_1 X44) true))))) (let ((_let_415 (ASSUME :args 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(32)))) (let ((_let_437 (not _let_77))) (let ((_let_438 (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 _let_437))))) (let ((_let_439 (REORDERING (CNF_AND_POS :args (_let_77 2)) :args ((or _let_74 _let_437))))) (let ((_let_440 (REORDERING (CNF_AND_POS :args (_let_77 3)) :args ((or _let_72 _let_437))))) (let ((_let_441 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_385)) :args ((or _let_73 _let_384 _let_383 (not _let_385)))) (REORDERING (CNF_OR_POS :args (_let_390)) :args ((or _let_75 _let_73 _let_382 (not _let_390)))) _let_440 _let_439 _let_438 _let_436 _let_435 _let_189 _let_434 _let_433 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2186 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_431)) :args _let_430)) _let_429 _let_425 _let_421 _let_420 _let_418 _let_417 _let_189 (REORDERING (CNF_OR_POS :args (_let_386)) :args ((or _let_221 _let_242 _let_218 (not _let_386)))) _let_416 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_412 :args 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(MACRO_RESOLUTION_TRUST _let_417 _let_189 _let_416 _let_421 _let_409 _let_442 _let_397 _let_441 _let_379 _let_189 _let_378 _let_376 (MACRO_RESOLUTION_TRUST _let_375 _let_189 _let_374 _let_373 _let_369 _let_365 _let_364 _let_363 _let_362 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_297 (= X26 X51)))) (AND_ELIM _let_184 :args (93)) _let_189 _let_359 _let_358 _let_355 _let_351 _let_348 _let_347 _let_346 _let_344 _let_341 _let_337 _let_335 _let_334 _let_333 _let_327 _let_326 :args ((or _let_272 _let_322 _let_270 _let_269 _let_267) false tptp.ndr1_0 true _let_321 true _let_320 true _let_319 true _let_318 true _let_317 false _let_227 false _let_296 false _let_297 false (forall ((X51 $$unsorted)) (or (tptp.c2_1 X51) (not (tptp.c1_1 X51)) (tptp.c0_1 X51))) false tptp.ndr1_0 true tptp.hskp33 true _let_70 false _let_286 false _let_229 true _let_287 false _let_225 false _let_223 true _let_288 true _let_283 true _let_281 true tptp.hskp18 true _let_278 true _let_101 false _let_280 false _let_238)) _let_315 _let_314 _let_312 _let_306 _let_311 :args ((or _let_202 _let_272) false tptp.ndr1_0 true _let_310 true _let_309 true _let_308 true _let_203 false _let_121 true _let_201 false tptp.hskp10 false tptp.ndr1_0 true _let_199 true _let_240 true _let_198 false _let_266 false _let_268 true _let_270 true _let_271 true _let_307)))) (let ((_let_444 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_249 (= X20 X50))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X50 $$unsorted)) (or (tptp.c3_1 X50) (not (tptp.c0_1 X50)) (tptp.c1_1 X50))) _let_272) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_445 (_let_249))) (let ((_let_446 ((not (= (tptp.c0_1 X20) false))))) (let ((_let_447 (ASSUME :args _let_445))) (let ((_let_448 ((not (= (tptp.c3_1 X20) true))))) (let ((_let_449 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_445)))) (let ((_let_450 (or _let_208 _let_206 _let_245))) (let ((_let_451 (not 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((_let_602 (MACRO_RESOLUTION_TRUST _let_599 _let_598 _let_597 _let_595 _let_581 _let_593 (AND_ELIM _let_184 :args (70)) _let_189 _let_592 _let_189 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_231 (= X X12))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X12 $$unsorted)) (or (not (tptp.c2_1 X12)) (not (tptp.c0_1 X12)) (not (tptp.c1_1 X12)))) _let_601) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_591 :args ((or _let_231 _let_230) true _let_153 true _let_155 true _let_157 false _let_517 false _let_159 false _let_516 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true _let_601 true _let_520)))) (let ((_let_603 (not _let_216))) (let ((_let_604 (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_97 _let_215 _let_214 _let_603))))) (let ((_let_605 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_249 (= X20 X23))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X23 $$unsorted)) (or (tptp.c3_1 X23) (not (tptp.c0_1 X23)) (tptp.c1_1 X23))) _let_250) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) 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(EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_611 (= X7 X84))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X84 $$unsorted)) (or (not (tptp.c3_1 X84)) (not (tptp.c2_1 X84)) (tptp.c1_1 X84))) _let_612) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_627 (AND_ELIM _let_184 :args (112)))) (let ((_let_628 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_614 (= U X83))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X83 $$unsorted)) (or (tptp.c0_1 X83) (tptp.c1_1 X83) (not (tptp.c2_1 X83)))) _let_613) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))))) (let ((_let_629 (REORDERING (CNF_AND_POS :args (_let_146 1)) :args ((or _let_145 _let_182))))) (let ((_let_630 (REORDERING (CNF_AND_POS :args (_let_146 2)) :args ((or _let_144 _let_182))))) (let ((_let_631 (REORDERING (CNF_AND_POS :args (_let_146 3)) :args ((or _let_142 _let_182))))) (let ((_let_632 (_let_614))) (let ((_let_633 ((not (= (tptp.c0_1 U) true))))) (let ((_let_634 (ASSUME :args _let_632))) (let ((_let_635 (IMPLIES_ELIM (SCOPE (INSTANTIATE 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_let_610 false _let_48 false tptp.hskp40 false tptp.ndr1_0 true _let_607 true _let_606 true _let_389 true _let_244 true _let_388 true _let_387 true _let_217 false _let_241 true _let_221 false _let_219)))) (let ((_let_638 (_let_252))) (let ((_let_639 ((not (= (tptp.c3_1 X8) true))))) (let ((_let_640 (ASSUME :args _let_638))) (let ((_let_641 (not _let_254))) (let ((_let_642 (not _let_17))) (let ((_let_643 (MACRO_RESOLUTION_TRUST _let_533 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_257 (= X3 X73))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X73 $$unsorted)) (or (not (tptp.c0_1 X73)) (tptp.c1_1 X73) (not (tptp.c2_1 X73)))) _let_255) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_576 (AND_ELIM _let_184 :args (106)) _let_189 _let_586 (AND_ELIM _let_184 :args (56)) _let_575 _let_574 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_15 _let_13 _let_253 _let_641))) (REORDERING (CNF_AND_POS :args (_let_17 3)) :args ((or _let_12 _let_642))) (REORDERING (CNF_AND_POS :args (_let_17 2)) :args ((or _let_14 _let_642))) (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 _let_642))) :args ((or _let_642 _let_641) false _let_12 true _let_13 true _let_15)) _let_572 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a2242 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)) _let_571 _let_189 _let_637 _let_570 _let_605 _let_449 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_244 (= X19 X72))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X72 $$unsorted)) (or (tptp.c2_1 X72) (tptp.c1_1 X72) (not (tptp.c0_1 X72)))) _let_248) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_455 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a2222 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)) _let_403 _let_376 (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_97 _let_237 _let_213 (not _let_239)))) _let_326 _let_604 _let_333 _let_332 _let_331 _let_330 _let_590 _let_335 _let_602 _let_351 _let_600 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_599 _let_598 _let_597 :args ((or _let_157 _let_594 _let_596) true _let_153 true _let_155)) _let_595 _let_593 _let_592 _let_189 _let_591 _let_590 _let_586 _let_576 _let_575 _let_574 _let_572 _let_571 _let_189 _let_570 _let_449 _let_453 _let_454 _let_452 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_585)) :args _let_585)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_584) _let_310))) (REFL :args ((not _let_519))) :args _let_259)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_518)) :args ((or _let_509 _let_506 _let_507 _let_583))) (REORDERING (CNF_OR_POS :args (_let_510)) :args ((or _let_509 _let_506 _let_508 _let_582))) (CNF_OR_NEG :args (_let_519 2)) (CNF_OR_NEG :args (_let_519 1)) :args ((or _let_519 _let_583 _let_582) true _let_507 true _let_506 true _let_509)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X11) true))))) :args _let_578)) _let_581 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_92 _let_543 _let_542 (not _let_544)))) (REORDERING (CNF_AND_POS :args (_let_96 3)) :args ((or _let_93 _let_577))) (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_94 _let_577))) (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_95 _let_577))) (AND_ELIM _let_184 :args (20)) (AND_ELIM _let_184 :args (103)) _let_189 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_320 (= X48 X68)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_372 :args (tptp.a2235 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_371)) :args _let_370)) (REORDERING (CNF_OR_POS :args (_let_551)) :args ((or _let_235 _let_550 _let_233 (not _let_551)))) _let_576 (REORDERING (CNF_AND_POS :args (_let_21 3)) :args ((or _let_18 _let_573))) _let_575 _let_574 _let_572 _let_571 _let_189 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_249 (= X20 X69))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X69 $$unsorted)) (or (tptp.c3_1 X69) (not (tptp.c0_1 X69)) (tptp.c1_1 X69))) _let_549) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_570 _let_569 _let_568 _let_436 _let_566 _let_189 _let_564 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X1) true))))) :args _let_562)) (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_539 _let_512 _let_513 (not _let_545)))) (REORDERING (CNF_OR_POS :args (_let_515)) :args ((or _let_512 _let_511 _let_514 _let_552))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_561 :args (tptp.a2237 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559)) (CNF_OR_NEG :args (_let_540 2)) (CNF_OR_NEG :args (_let_540 1)) (CNF_OR_NEG :args (_let_540 0)) _let_558 _let_189 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_557)) :args _let_557)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_556) _let_516))) (REFL :args ((not _let_540))) :args _let_259)) _let_555 :args ((or tptp.hskp2 tptp.hskp38 _let_516 _let_205 _let_554 _let_553 _let_552) true _let_92 false _let_94 false _let_95 false _let_96 false tptp.hskp20 false tptp.ndr1_0 true (forall ((X68 $$unsorted)) (or (not (tptp.c1_1 X68)) (not (tptp.c3_1 X68)) (not (tptp.c2_1 X68)))) true _let_320 true _let_551 false _let_232 false _let_18 false _let_19 false _let_20 false _let_21 false tptp.hskp53 false tptp.ndr1_0 true _let_549 true _let_251 true _let_249 true _let_548 false _let_77 false tptp.hskp32 false tptp.ndr1_0 true _let_547 true _let_546 true _let_545 true _let_513 false _let_544 true _let_511 true _let_512 true _let_539 false _let_541 false tptp.ndr1_0 true _let_540 true _let_538)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_460 _let_189 _let_461 _let_537 _let_464 _let_536 _let_533 _let_471 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_361 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_360)) _let_532 _let_531 _let_189 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_530)) :args _let_530)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_529) _let_297))) (REFL :args ((not _let_503))) :args _let_259)) _let_528 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_502)) :args ((or _let_494 _let_500 _let_501 _let_527))) (REORDERING (CNF_OR_POS :args (_let_496)) :args ((or _let_495 _let_494 _let_492 _let_526))) (CNF_OR_NEG :args (_let_503 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_503 1)) (CONG (REFL :args (_let_503)) (MACRO_SR_PRED_INTRO :args ((= (not _let_494) _let_493))) :args _let_259)) :args ((or _let_493 _let_503))) (CNF_OR_NEG :args (_let_503 0)) :args ((or _let_503 _let_527 _let_526) false _let_492 true _let_500 false _let_493 true _let_495)) _let_525 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_339)) :args _let_338)) _let_522 _let_344 _let_467 _let_359 _let_358 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_354 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_353)) :args _let_352)) _let_355 _let_521 :args ((or tptp.hskp2 _let_204 _let_205 (not _let_229) _let_208 _let_207 _let_206 _let_465) true _let_157 false _let_159 false tptp.hskp0 false tptp.ndr1_0 true _let_520 true _let_231 true _let_236 false _let_232 false _let_19 false _let_20 false _let_21 false tptp.hskp53 false tptp.ndr1_0 true _let_251 true _let_249 true _let_247 false _let_245 false _let_450 false _let_310 false _let_519 false _let_518 false _let_517 false _let_516 false _let_515 false _let_284 false tptp.ndr1_0 true tptp.hskp47 true tptp.hskp38 true _let_26 true _let_54 false _let_256 false _let_292 false _let_510 false _let_505 false _let_257 false tptp.ndr1_0 false _let_297 true tptp.hskp34 false _let_503 true _let_64 false _let_502 false _let_499 false _let_283 false _let_288 true tptp.hskp33 true _let_70 false _let_496 false _let_286 false _let_491)) _let_490 _let_489 _let_486 _let_485 _let_484 _let_483 (MACRO_RESOLUTION_TRUST _let_479 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_478 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X33) false))))) :args _let_477)) _let_476 _let_189 (REORDERING (CNF_OR_POS :args (_let_300)) :args ((or _let_275 _let_294 _let_299 (not _let_300)))) _let_475 (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_275 _let_273 _let_276 (not _let_277)))) _let_362 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_295 2)) (CONG _let_474 (MACRO_SR_PRED_INTRO :args ((= (not _let_294) _let_293))) :args _let_259)) :args ((or _let_293 _let_295))) (CNF_OR_NEG :args (_let_295 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_295 0)) (CONG _let_474 (MACRO_SR_PRED_INTRO :args ((= (not _let_275) _let_274))) :args _let_259)) :args ((or _let_274 _let_295))) _let_363 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_473)) :args _let_473)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_472) _let_257))) (REFL :args ((not _let_295))) :args _let_259)) (REORDERING (CNF_OR_NEG :args (_let_228 0)) :args ((or _let_316 _let_228))) _let_471 _let_467 _let_464 _let_359 _let_461 _let_348 _let_346 _let_358 _let_460 _let_189 _let_459 _let_344 _let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_341 _let_351 (REORDERING (CNF_OR_POS :args (_let_282)) :args ((or _let_270 _let_269 _let_278 (not _let_282)))) _let_337 _let_335 _let_334 _let_333 _let_327 _let_326 _let_376 _let_455 _let_449 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_446)) :args _let_445)) _let_444 _let_315 _let_314 _let_312 _let_443 _let_306 _let_258 :args ((or _let_203 _let_202) true _let_302 false _let_301 false tptp.ndr1_0 true _let_300 true _let_298 false _let_276 true _let_297 false _let_293 true _let_273 false _let_274 true _let_296 true _let_295 true _let_227 true _let_257 true _let_228 true _let_292 true tptp.hskp33 false _let_26 true _let_287 false _let_223 true _let_70 false tptp.hskp47 false tptp.ndr1_0 true _let_289 true _let_288 false _let_286 true _let_284 true _let_283 false _let_229 true _let_282 true _let_281 true tptp.hskp18 true _let_278 true _let_101 false _let_280 false _let_238 false _let_198 false _let_240 false _let_247 false _let_277 false _let_249 false _let_266 false _let_268 true _let_270 false _let_272 true _let_271 true _let_204)) _let_265 _let_264 _let_263 _let_262 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_203 (= W X65))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X65 $$unsorted)) (or (tptp.c3_1 X65) (tptp.c1_1 X65) (tptp.c2_1 X65))) _let_205) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_258 :args (_let_203 false _let_257 true _let_256 false _let_255 false tptp.ndr1_0 true _let_232 true tptp.hskp56 false _let_19 false _let_20 true _let_17 false _let_21 false _let_254 false tptp.hskp53 false tptp.ndr1_0 false _let_252 true _let_251 true _let_250 true _let_249 true _let_248 true _let_247 true _let_244 true _let_243 true _let_240 true _let_239 true _let_198 true _let_213 true _let_238 true _let_97 false _let_99 false _let_100 false _let_236 false _let_101 false _let_231 false tptp.hskp18 true _let_230 true _let_229 true tptp.hskp2 true _let_152 false _let_228 false _let_222 false _let_216 false _let_212 false _let_202 true _let_206 true _let_207 true _let_208 true _let_209 true _let_205 true _let_204)))) (let ((_let_644 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_645 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_646 (not _let_645))) (let ((_let_647 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_648 (not _let_647))) (let ((_let_649 (or _let_648 _let_646 _let_644))) (let ((_let_650 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_651 (not _let_650))) (let ((_let_652 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_653 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_654 (not _let_653))) (let ((_let_655 (or _let_654 _let_652 _let_651))) (let ((_let_656 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_657 (or _let_656 _let_654 _let_652))) (let ((_let_658 (or _let_656 _let_652 _let_650))) (let ((_let_659 (forall ((X95 $$unsorted)) (or (tptp.c2_1 X95) (not (tptp.c3_1 X95)) (not (tptp.c0_1 X95)))))) (let ((_let_660 (or _let_384 _let_73 _let_75))) (let ((_let_661 (forall ((X6 $$unsorted)) (or (not (tptp.c0_1 X6)) (tptp.c2_1 X6) (tptp.c3_1 X6))))) (let ((_let_662 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_663 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_664 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_665 (not _let_664))) (let ((_let_666 (or _let_665 _let_663 _let_662))) (let ((_let_667 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_668 (or _let_662 _let_667 _let_663))) (let ((_let_669 (not _let_667))) (let ((_let_670 (or _let_662 _let_669 _let_665))) (let ((_let_671 (forall ((X62 $$unsorted)) (or (not (tptp.c1_1 X62)) (tptp.c3_1 X62) (not (tptp.c0_1 X62)))))) (let ((_let_672 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_673 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_674 (not _let_673))) (let ((_let_675 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_676 (or _let_675 _let_674 _let_672))) (let ((_let_677 (tptp.c1_1 tptp.a2218))) (let ((_let_678 (not _let_30))) (let ((_let_679 (or _let_28 _let_678 _let_677))) (let ((_let_680 (tptp.c3_1 tptp.a2252))) (let ((_let_681 (or _let_680 _let_2 _let_4))) (let ((_let_682 (forall ((X60 $$unsorted)) (or (not (tptp.c3_1 X60)) (not (tptp.c1_1 X60)) (tptp.c0_1 X60))))) (let ((_let_683 (forall ((X61 $$unsorted)) (or (tptp.c3_1 X61) (tptp.c0_1 X61) (not (tptp.c2_1 X61)))))) (let ((_let_684 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_685 (not _let_684))) (let ((_let_686 (or _let_685 _let_675 _let_673))) (let ((_let_687 (or _let_287 _let_226 _let_316))) (let ((_let_688 (or _let_675 _let_672 _let_685))) (let ((_let_689 (forall ((X88 $$unsorted)) (or (tptp.c0_1 X88) (not (tptp.c3_1 X88)) (not (tptp.c2_1 X88)))))) (let ((_let_690 (forall ((X96 $$unsorted)) (or (not (tptp.c3_1 X96)) (not (tptp.c2_1 X96)) (tptp.c0_1 X96))))) (let ((_let_691 (tptp.c2_1 tptp.a2203))) (let ((_let_692 (not _let_691))) (let ((_let_693 (or _let_122 _let_124 _let_692))) (let ((_let_694 (or _let_122 _let_124 _let_691))) (let ((_let_695 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_696 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_697 (not _let_696))) (let ((_let_698 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_699 (not _let_698))) (let ((_let_700 (or _let_699 _let_697 _let_695))) (let ((_let_701 (or _let_129 _let_127 _let_131))) (let ((_let_702 (tptp.c3_1 tptp.a2202))) (let ((_let_703 (or _let_702 _let_129 _let_131))) (let ((_let_704 (not _let_702))) (let ((_let_705 (or _let_704 _let_127 _let_131))) (let ((_let_706 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_707 (or _let_706 _let_695 _let_697))) (let ((_let_708 (not _let_706))) (let ((_let_709 (or _let_708 _let_699 _let_697))) (let ((_let_710 (not _let_1))) (let ((_let_711 (or _let_4 _let_2 _let_710))) (let ((_let_712 (forall ((X97 $$unsorted)) (or (not (tptp.c3_1 X97)) (tptp.c2_1 X97) (tptp.c1_1 X97))))) (let ((_let_713 (forall ((X98 $$unsorted)) (or (not (tptp.c3_1 X98)) (tptp.c1_1 X98) (tptp.c2_1 X98))))) (let ((_let_714 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_184 :args (118)) _let_189 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_389 (= X5 X98))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X98 $$unsorted)) (or (tptp.c1_1 X98) (not (tptp.c3_1 X98)) (tptp.c2_1 X98))) _let_713) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_389 (= X5 X97))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X97 $$unsorted)) (or (tptp.c1_1 X97) (not (tptp.c3_1 X97)) (tptp.c2_1 X97))) _let_712) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) :args ((or tptp.hskp58 _let_389) false tptp.ndr1_0 true _let_713 true _let_712)))) (let ((_let_715 (AND_ELIM _let_184 :args (58)))) (let ((_let_716 (not _let_6))) (let ((_let_717 (REORDERING (CNF_AND_POS :args (_let_6 1)) :args ((or _let_5 _let_716))))) (let ((_let_718 (REORDERING (CNF_AND_POS :args (_let_6 2)) :args ((or _let_3 _let_716))))) (let ((_let_719 (REORDERING (CNF_AND_POS :args (_let_6 3)) :args ((or _let_1 _let_716))))) (let ((_let_720 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_711)) :args ((or _let_4 _let_2 _let_710 (not _let_711)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a2252 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)) _let_719 _let_718 _let_717 _let_433 _let_715 _let_435 _let_189 _let_714 _let_434 :args ((or tptp.hskp32 _let_389) false _let_711 false _let_1 true _let_2 true _let_4 false _let_244 false _let_6 false _let_391 false tptp.ndr1_0 false tptp.hskp58 true _let_392)))) (let ((_let_721 (not _let_660))) (let ((_let_722 (_let_661))) (let ((_let_723 (not _let_661))) (let ((_let_724 (_let_723))) (let ((_let_725 (or _let_656 _let_652 _let_651))) (let ((_let_726 (not _let_249))) (let ((_let_727 (_let_726))) (let ((_let_728 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_727)) :args _let_727)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_726) _let_249))) (REFL :args ((not _let_657))) :args _let_259)))) (let ((_let_729 (CNF_OR_NEG :args (_let_657 0)))) (let ((_let_730 (CNF_OR_NEG :args (_let_657 2)))) (let ((_let_731 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_431)) :args _let_430)) _let_643 :args (_let_658 false _let_203)))) (let ((_let_732 (REORDERING (CNF_OR_POS :args (_let_658)) :args ((or _let_656 _let_652 _let_650 (not _let_658)))))) (let ((_let_733 ((not (= (tptp.c1_1 W) true))))) (let ((_let_734 (not _let_677))) (let ((_let_735 (not _let_27))) (let ((_let_736 (or _let_735 _let_678 _let_734))) (let ((_let_737 (or _let_213 _let_215 _let_97))) (let ((_let_738 (forall ((X42 $$unsorted)) (or (not (tptp.c0_1 X42)) (tptp.c1_1 X42) (not (tptp.c3_1 X42)))))) (let ((_let_739 (forall ((X40 $$unsorted)) (or (tptp.c1_1 X40) (not (tptp.c3_1 X40)) (not (tptp.c0_1 X40)))))) (let ((_let_740 (not _let_680))) (let ((_let_741 (or _let_2 _let_740 _let_710))) (let ((_let_742 (not _let_679))) (let ((_let_743 (not _let_681))) (let ((_let_744 (not _let_736))) (let ((_let_745 (not _let_31))) (let ((_let_746 (_let_739))) (let ((_let_747 (not _let_741))) (let ((_let_748 (_let_172))) (let ((_let_749 ((not (= (tptp.c2_1 X25) false))))) (let ((_let_750 (ASSUME :args _let_748))) (let ((_let_751 (not _let_686))) (let ((_let_752 (not _let_676))) (let ((_let_753 (_let_689))) (let ((_let_754 (not _let_252))) (let ((_let_755 (_let_754))) (let ((_let_756 (not _let_693))) (let ((_let_757 (not _let_694))) (let ((_let_758 (not _let_126))) (let ((_let_759 (not _let_611))) (let ((_let_760 (_let_759))) (let ((_let_761 (not _let_133))) (let ((_let_762 (REORDERING (CNF_AND_POS :args (_let_133 1)) :args ((or _let_132 _let_761))))) (let ((_let_763 (REORDERING (CNF_AND_POS :args (_let_133 2)) :args ((or _let_130 _let_761))))) (let ((_let_764 (REORDERING (CNF_AND_POS :args (_let_133 3)) :args ((or _let_128 _let_761))))) (let ((_let_765 (not _let_701))) (let ((_let_766 (REFL :args (_let_700)))) (let ((_let_767 (MACRO_RESOLUTION_TRUST _let_476 _let_189 _let_475 _let_479 _let_532 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_478 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X33) false))))) :args _let_477)) _let_536 (REORDERING (CNF_OR_POS :args (_let_709)) :args ((or _let_699 _let_697 _let_708 (not _let_709)))) _let_537 _let_459 (REORDERING (CNF_OR_POS :args (_let_707)) :args ((or _let_697 _let_695 _let_706 (not _let_707)))) _let_558 _let_189 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a2202 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X52) true))))) :args _let_456)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_634 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_633)) :args _let_632)) _let_555 (REORDERING (CNF_OR_POS :args (_let_705)) :args ((or _let_131 _let_127 _let_704 (not _let_705)))) _let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a2202 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_131 _let_129 _let_702 (not _let_703)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2202 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_733)) :args _let_430)) _let_643 :args (_let_703 false _let_203)) (CNF_OR_NEG :args (_let_700 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_700 1)) (CONG _let_766 (MACRO_SR_PRED_INTRO :args ((= (not _let_697) _let_696))) :args _let_259)) :args ((or _let_696 _let_700))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_700 0)) (CONG _let_766 (MACRO_SR_PRED_INTRO :args ((= (not _let_699) _let_698))) :args _let_259)) :args ((or _let_698 _let_700))) _let_627 _let_189 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_701)) :args ((or _let_131 _let_129 _let_127 _let_765))) _let_764 _let_763 _let_762 :args ((or _let_761 _let_765) true _let_127 true _let_129 true _let_131)) _let_764 _let_763 _let_762 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_760)) :args _let_760)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_759) _let_611))) (REFL :args ((not _let_700))) :args _let_259)) _let_626 (AND_ELIM _let_184 :args (8)) _let_625 (AND_ELIM _let_184 :args (75)) _let_189 _let_623 (AND_ELIM _let_184 :args (9)) _let_620 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_124 _let_122 _let_692 _let_756))) (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_124 _let_122 _let_691 _let_757))) (REORDERING (CNF_AND_POS :args (_let_126 3)) :args ((or _let_123 _let_758))) (REORDERING (CNF_AND_POS :args (_let_126 1)) :args ((or _let_125 _let_758))) :args ((or _let_758 _let_757 _let_756) false _let_691 true _let_122 true _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2203 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_431)) :args _let_430)) _let_643 :args (_let_694 false _let_203)) (AND_ELIM _let_184 :args (117)) _let_189 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (tptp.a2203 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_689 (= X88 X96))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X96 $$unsorted)) (or (tptp.c0_1 X96) (not (tptp.c3_1 X96)) (not (tptp.c2_1 X96)))) _let_690) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_755)) :args _let_755)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_754) _let_252))) (REFL :args ((not _let_688))) :args _let_259)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_753) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X88) true))))) :args _let_753)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_686)) :args ((or _let_675 _let_685 _let_673 _let_751))) (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_675 _let_672 _let_674 _let_752))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_688 2)) (CONG (REFL :args (_let_688)) (MACRO_SR_PRED_INTRO :args ((= (not _let_685) _let_684))) :args _let_259)) :args ((or _let_684 _let_688))) (CNF_OR_NEG :args (_let_688 1)) (CNF_OR_NEG :args (_let_688 0)) :args ((or _let_688 _let_752 _let_751) true _let_673 false _let_684 true _let_672 true _let_675)) (REORDERING (CNF_OR_POS :args (_let_687)) :args ((or _let_226 _let_287 _let_316 (not _let_687)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_750 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_749)) :args _let_748)) _let_466 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_172 (= X25 X61))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X61 $$unsorted)) (or (not (tptp.c2_1 X61)) (tptp.c3_1 X61) (tptp.c0_1 X61))) _let_683) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_348 _let_347 _let_346 (AND_ELIM _let_184 :args (99)) _let_189 _let_344 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_283 (= V X60))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X60 $$unsorted)) (or (not (tptp.c1_1 X60)) (not (tptp.c3_1 X60)) (tptp.c0_1 X60))) _let_682) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_522 _let_525 _let_528 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_741)) :args ((or _let_2 _let_710 _let_740 _let_747))) (REORDERING (CNF_OR_POS :args (_let_681)) :args ((or _let_4 _let_2 _let_680 _let_743))) _let_719 _let_718 _let_717 :args ((or _let_716 _let_743 _let_747) false _let_680 false _let_1 true _let_2 true _let_4)) _let_715 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_746) :args (tptp.a2252 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X40) false))))) :args _let_746)) _let_714 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_739 (= X40 X42))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X42 $$unsorted)) (or (tptp.c1_1 X42) (not (tptp.c3_1 X42)) (not (tptp.c0_1 X42)))) _let_738) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a2222 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) (REORDERING (AND_ELIM _let_184 :args (88)) :args ((or tptp.hskp34 tptp.hskp46 _let_565 _let_738))) _let_189 (REORDERING (CNF_OR_POS :args (_let_737)) :args ((or _let_97 _let_215 _let_213 (not _let_737)))) (AND_ELIM _let_184 :args (46)) _let_604 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_679)) :args ((or _let_28 _let_678 _let_677 _let_742))) (REORDERING (CNF_OR_POS :args (_let_736)) :args ((or _let_678 _let_735 _let_734 _let_744))) (REORDERING (CNF_AND_POS :args (_let_31 3)) :args ((or _let_27 _let_745))) (REORDERING (CNF_AND_POS :args (_let_31 2)) :args ((or _let_29 _let_745))) (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_30 _let_745))) :args ((or _let_745 _let_742 _let_744) true _let_677 false _let_27 true _let_28 false _let_30)) _let_332 _let_331 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (tptp.a2218 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)) _let_335 _let_602 _let_351 _let_600 :args ((or tptp.hskp34 _let_229 _let_743 _let_742 _let_603) false _let_6 false _let_741 false tptp.hskp58 false _let_739 true _let_389 false _let_738 false tptp.ndr1_0 true _let_737 true tptp.hskp46 true _let_213 true _let_31 true _let_97 false _let_99 false _let_736 false _let_101 false _let_231 false tptp.hskp18 true _let_230)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2252 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_733)) :args _let_430)) _let_643 :args (_let_681 false _let_203)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (tptp.a2218 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_445)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_445)) (MACRO_RESOLUTION_TRUST _let_732 _let_731 (REORDERING (CNF_OR_POS :args (_let_725)) :args ((or _let_656 _let_652 _let_651 (not _let_725)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_640 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_639)) :args _let_638)) _let_730 _let_729 _let_637 _let_728 _let_605 :args ((or _let_249 _let_243 _let_617) false _let_658 true _let_650 false _let_725 true _let_652 true _let_656 false _let_252 true _let_657 true _let_250)) (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_541 (= X15 X62))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X62 $$unsorted)) (or (tptp.c3_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c0_1 X62)))) _let_671) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_561 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559)) (REORDERING (CNF_OR_POS :args (_let_670)) :args ((or _let_665 _let_662 _let_669 (not _let_670)))) (REORDERING (CNF_OR_POS :args (_let_668)) :args ((or _let_663 _let_662 _let_667 (not _let_668)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_431)) :args _let_430)) _let_643 :args (_let_668 false _let_203)) (CNF_OR_NEG :args (_let_666 2)) (CNF_OR_NEG :args (_let_666 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_666 0)) (CONG (REFL :args (_let_666)) (MACRO_SR_PRED_INTRO :args ((= (not _let_665) _let_664))) :args _let_259)) :args ((or _let_664 _let_666))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_724)) :args _let_724)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_723) _let_661))) (REFL :args ((not _let_666))) :args _let_259)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_722) :args (tptp.a2186 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X6) false))))) :args _let_722)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_660)) :args ((or _let_75 _let_73 _let_384 _let_721))) _let_440 _let_439 _let_438 :args ((or _let_437 _let_721) false _let_72 true _let_73 true _let_75)) _let_436 _let_720 _let_619 _let_429 _let_425 _let_420 _let_418 _let_618 _let_486 _let_485 _let_484 _let_407 _let_406 _let_405 (MACRO_RESOLUTION_TRUST _let_416 _let_417 _let_189 _let_409 _let_421 _let_397 _let_442 _let_379 _let_189 _let_441 _let_311 :args ((or _let_202 _let_240 _let_199) false _let_310 false tptp.ndr1_0 true _let_308 true _let_309 false _let_121 true _let_203 false tptp.hskp10 false tptp.ndr1_0 true _let_201 true _let_307)) _let_403 (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_198 (= X39 X95))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X95 $$unsorted)) (or (not (tptp.c3_1 X95)) (tptp.c2_1 X95) (not (tptp.c0_1 X95)))) _let_659) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) _let_378 _let_376 _let_326 _let_333 _let_335 _let_351 :args (_let_229 false tptp.ndr1_0 true _let_298 true _let_301 true _let_297 true _let_302 true _let_505 true _let_709 false _let_54 true _let_289 false _let_706 false tptp.hskp38 false tptp.ndr1_0 true _let_284 false _let_707 true _let_538 true _let_705 false _let_614 true _let_516 false _let_702 false _let_703 true _let_695 false _let_696 false _let_698 false _let_613 false tptp.ndr1_0 true _let_701 true _let_127 true _let_129 true _let_131 true _let_700 true _let_612 false _let_133 true _let_611 false tptp.hskp8 false tptp.ndr1_0 true _let_610 true tptp.hskp9 false _let_48 true _let_126 false _let_694 false tptp.hskp40 false tptp.ndr1_0 false _let_693 true _let_690 false _let_252 true _let_689 false _let_688 true _let_687 false _let_686 false _let_227 false _let_172 true _let_287 false _let_225 false _let_223 false _let_683 false tptp.ndr1_0 true _let_288 true _let_682 true _let_283 true _let_499 false _let_64 false tptp.hskp34 false _let_681 false _let_679 false _let_676 false _let_249 true _let_671 true _let_541 true _let_670 false _let_667 false _let_668 true _let_662 true _let_663 false _let_664 true _let_666 true _let_661 true _let_660 false _let_77 false tptp.hskp32 true _let_606 true _let_389 true _let_244 true _let_388 true _let_387 true _let_217 false _let_228 false _let_222 false _let_216 false _let_241 true _let_221 false _let_219 false _let_202 true _let_243 true _let_659 true _let_199 true _let_240 true _let_198 true _let_238 false _let_101 false tptp.hskp18)))) (let ((_let_768 (MACRO_RESOLUTION_TRUST _let_359 (MACRO_RESOLUTION_TRUST _let_358 (MACRO_RESOLUTION_TRUST _let_355 _let_767 :args (_let_286 false _let_229)) :args (_let_357 false _let_286)) :args (_let_71 true _let_70)))) (let ((_let_769 (not _let_89))) (let ((_let_770 (tptp.c3_1 tptp.a2244))) (let ((_let_771 (or _let_770 _let_769 _let_85))) (let ((_let_772 (or _let_136 _let_134 _let_138))) (let ((_let_773 (not _let_55))) (let ((_let_774 (not _let_58))) (let ((_let_775 (or _let_56 _let_774 _let_773))) (let ((_let_776 (or _let_644 _let_648 (not (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))))) (let ((_let_777 (or _let_194 _let_192 _let_195))) (let ((_let_778 (or _let_648 _let_644 _let_645))) (let ((_let_779 (not _let_770))) (let ((_let_780 (or _let_779 _let_87 _let_769))) (let ((_let_781 (not _let_649))) (let ((_let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_447 :args (tptp.a2244 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_446)) :args _let_445)))) (let ((_let_783 (MACRO_RESOLUTION_TRUST _let_521 _let_767 :args (_let_491 false _let_229)))) (let ((_let_784 ((not (= (tptp.c3_1 X1) true))))) (let ((_let_785 (not _let_772))) (let 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(MACRO_RESOLUTION_TRUST _let_592 _let_189 (MACRO_RESOLUTION_TRUST _let_593 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_813)) :args ((or _let_155 _let_153 _let_810 (not _let_813)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2181 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_733)) :args _let_430)) _let_643 :args (_let_813 false _let_203)) (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_155 _let_153 _let_811 (not _let_812)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a2181 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) (MACRO_RESOLUTION_TRUST _let_720 (MACRO_RESOLUTION_TRUST _let_436 (MACRO_RESOLUTION_TRUST _let_568 (MACRO_RESOLUTION_TRUST _let_569 _let_814 :args (_let_548 false _let_249)) _let_783 :args (_let_437 false _let_548 false _let_491)) :args (_let_78 true _let_77)) :args (_let_389 true tptp.hskp32)) :args (_let_812 false _let_389)) _let_598 _let_597 :args (_let_594 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(MACRO_RESOLUTION_TRUST _let_314 _let_834 :args (_let_268 true _let_271)))) (let ((_let_836 (not _let_79))) (let ((_let_837 (not _let_80))) (let ((_let_838 (or _let_837 _let_81 _let_836))) (let ((_let_839 (not _let_83))) (let ((_let_840 (forall ((X21 $$unsorted)) (or (not (tptp.c0_1 X21)) (tptp.c3_1 X21) (not (tptp.c2_1 X21)))))) (let ((_let_841 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_842 (not _let_841))) (let ((_let_843 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_844 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_845 (not _let_844))) (let ((_let_846 (or _let_845 _let_843 _let_842))) (let ((_let_847 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_848 (or _let_843 _let_845 _let_847))) (let ((_let_849 (not _let_847))) (let ((_let_850 (or _let_842 _let_845 _let_849))) (let ((_let_851 (REFL :args (_let_846)))) (let ((_let_852 (not _let_840))) (let ((_let_853 (_let_852))) (let ((_let_854 (_let_840))) (let ((_let_855 (not 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_750 :args (tptp.a2211 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_749)) :args _let_748)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_831)) :args _let_831)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_830) _let_172))) (REFL :args ((not _let_175))) :args _let_259)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_174 _let_173 _let_176 (not _let_179)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_563 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_562)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (TRANS (ALPHA_EQUIV :args (_let_546 (= X1 X29))) (MACRO_SR_PRED_INTRO :args ((= (forall ((X29 $$unsorted)) (or (tptp.c3_1 X29) (tptp.c1_1 X29) (tptp.c0_1 X29))) _let_817) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_184 :args (80)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_184 :args (42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_828)) :args ((or _let_823 _let_826 _let_827 (not _let_828)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (tptp.a2207 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)) _let_815 :args (_let_828 false _let_231)) (REORDERING (CNF_OR_POS :args (_let_825)) :args ((or _let_39 _let_823 _let_824 (not _let_825)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_354 :args (tptp.a2207 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_353)) :args _let_352)) _let_767 :args (_let_825 false _let_229)) (REORDERING (CNF_AND_POS :args (_let_42 3)) :args ((or _let_38 _let_829))) (REORDERING (CNF_AND_POS :args (_let_42 2)) :args ((or _let_40 _let_829))) (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_41 _let_829))) :args (_let_829 false _let_828 false _let_824 false _let_825 false _let_38 true _let_39 false _let_41)) :args (_let_43 true _let_42)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_184 :args (43)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_820)) :args ((or _let_34 _let_819 _let_818 _let_822))) (REORDERING (CNF_AND_POS :args (_let_36 3)) :args ((or _let_32 _let_821))) (REORDERING (CNF_AND_POS :args (_let_36 2)) :args ((or _let_33 _let_821))) (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_35 _let_821))) :args ((or _let_821 _let_822) false _let_32 false _let_33 true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a2208 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_809 :args (_let_820 false _let_198)) :args (_let_821 false _let_820)) :args (_let_37 true _let_36)) _let_189 :args (_let_817 true tptp.hskp42 true tptp.hskp43 false tptp.ndr1_0)) :args (_let_546 false _let_817)) :args (_let_179 false _let_546)) (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_174 _let_173 _let_177 (not _let_178)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_792 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 Z) true))))) :args _let_791)) (MACRO_RESOLUTION_TRUST _let_793 (MACRO_RESOLUTION_TRUST _let_801 (MACRO_RESOLUTION_TRUST _let_800 (MACRO_RESOLUTION_TRUST _let_799 (MACRO_RESOLUTION_TRUST _let_782 _let_814 :args (_let_771 false _let_249)) (MACRO_RESOLUTION_TRUST _let_795 _let_809 :args (_let_780 false _let_198)) :args (_let_798 false _let_771 false _let_780)) :args (_let_91 true _let_90)) (MACRO_RESOLUTION_TRUST _let_802 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_807 (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_194 _let_190 _let_195 _let_816))) _let_805 _let_804 _let_803 :args ((or _let_197 _let_816 _let_806) true _let_191 false _let_7 false _let_8 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_589 :args (tptp.a2243 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_588)) :args _let_587)) _let_815 :args (_let_196 false _let_231)) (MACRO_RESOLUTION_TRUST _let_794 _let_809 :args (_let_193 false _let_198)) :args (_let_197 false _let_196 false _let_193)) :args (_let_11 true _let_10)) _let_189 :args (_let_181 true tptp.hskp22 true tptp.hskp57 false tptp.ndr1_0)) :args (_let_180 false _let_181)) :args (_let_178 false _let_180)) (CNF_OR_NEG :args (_let_175 2)) (CNF_OR_NEG :args (_let_175 1)) :args (_let_175 false _let_179 true _let_176 false _let_178 true _let_173 true _let_174)) :args (_let_172 false _let_175)) :args (_let_168 false _let_172)) :args (_let_171 false _let_170 false _let_168)) :args (_let_108 true _let_107)) :args (tptp.hskp11 true tptp.hskp3 true tptp.hskp12)) :args (_let_114 false tptp.hskp11)))) (let ((_let_857 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 3)) :args ((or _let_110 _let_183))) _let_856 :args (_let_110 false _let_114)))) (let ((_let_858 (or _let_163 _let_111 _let_109))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_109 _let_162 _let_164 (not _let_165)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_858)) :args ((or _let_111 _let_109 _let_163 (not _let_858)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 2)) :args ((or _let_112 _let_183))) _let_856 :args (_let_112 false _let_114)) _let_857 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_432 :args (tptp.a2209 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_733)) :args _let_430)) _let_643 :args (_let_858 false _let_203)) :args (_let_163 true _let_111 true _let_109 false _let_858)) _let_857 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a2209 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) _let_809 :args (_let_165 false _let_198)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 1)) :args ((or _let_113 _let_183))) _let_856 :args (_let_113 false _let_114)) :args (false false _let_163 true _let_109 false _let_165 false _let_113)) :args (_let_161 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.83 )
% 0.59/0.83 % SZS output end Proof for SYN460+1
% 0.59/0.83 % cvc5---1.0.5 exiting
% 0.59/0.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------