TSTP Solution File: SYN487+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 02:03:37 EDT 2023

% Result   : Theorem 0.59s 0.77s
% Output   : Proof 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 19:53:35 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.59/0.77  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wYHkA7KQMt/cvc5---1.0.5_13048.p...
% 0.59/0.77  ------- get file name : TPTP file name is SYN487+1
% 0.59/0.77  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13048.smt2...
% 0.59/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.77  % SZS status Theorem for SYN487+1
% 0.59/0.77  % SZS output start Proof for SYN487+1
% 0.59/0.77  (
% 0.59/0.77  (let ((_let_1 (tptp.c3_1 tptp.a2315))) (let ((_let_2 (tptp.c2_1 tptp.a2315))) (let ((_let_3 (tptp.c1_1 tptp.a2315))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c2_1 tptp.a2309))) (let ((_let_6 (tptp.c1_1 tptp.a2309))) (let ((_let_7 (tptp.c0_1 tptp.a2309))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a2278))) (let ((_let_10 (tptp.c1_1 tptp.a2278))) (let ((_let_11 (tptp.c0_1 tptp.a2278))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c0_1 tptp.a2367))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c2_1 tptp.a2367))) (let ((_let_16 (tptp.c1_1 tptp.a2367))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_15 _let_14))) (let ((_let_18 (tptp.c1_1 tptp.a2345))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c0_1 tptp.a2345))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c3_1 tptp.a2345))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_19))) (let ((_let_24 (tptp.c2_1 tptp.a2342))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c3_1 tptp.a2342))) (let ((_let_27 (tptp.c0_1 tptp.a2342))) (let ((_let_28 (and tptp.ndr1_0 _let_27 _let_26 _let_25))) (let ((_let_29 (tptp.c2_1 tptp.a2327))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c0_1 tptp.a2327))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c3_1 tptp.a2327))) (let ((_let_34 (and tptp.ndr1_0 _let_33 _let_32 _let_30))) (let ((_let_35 (not tptp.hskp23))) (let ((_let_36 (tptp.c3_1 tptp.a2324))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.c0_1 tptp.a2324))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c1_1 tptp.a2324))) (let ((_let_41 (and tptp.ndr1_0 _let_40 _let_39 _let_37))) (let ((_let_42 (tptp.c1_1 tptp.a2323))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c3_1 tptp.a2323))) (let ((_let_45 (tptp.c2_1 tptp.a2323))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_43))) (let ((_let_47 (tptp.c3_1 tptp.a2316))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c2_1 tptp.a2316))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c1_1 tptp.a2316))) (let ((_let_52 (and tptp.ndr1_0 _let_51 _let_50 _let_48))) (let ((_let_53 (tptp.c2_1 tptp.a2308))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c1_1 tptp.a2308))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c3_1 tptp.a2308))) (let ((_let_58 (and tptp.ndr1_0 _let_57 _let_56 _let_54))) (let ((_let_59 (tptp.c3_1 tptp.a2306))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c2_1 tptp.a2306))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c1_1 tptp.a2306))) (let ((_let_64 (not _let_63))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_62 _let_60))) (let ((_let_66 (tptp.c3_1 tptp.a2304))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c2_1 tptp.a2304))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c0_1 tptp.a2304))) (let ((_let_71 (not _let_70))) (let ((_let_72 (and tptp.ndr1_0 _let_71 _let_69 _let_67))) (let ((_let_73 (tptp.c0_1 tptp.a2302))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c3_1 tptp.a2302))) (let ((_let_76 (tptp.c2_1 tptp.a2302))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_75 _let_74))) (let ((_let_78 (tptp.c3_1 tptp.a2299))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c1_1 tptp.a2299))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c2_1 tptp.a2299))) (let ((_let_83 (and tptp.ndr1_0 _let_82 _let_81 _let_79))) (let ((_let_84 (tptp.c3_1 tptp.a2295))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.c1_1 tptp.a2295))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c0_1 tptp.a2295))) (let ((_let_89 (and tptp.ndr1_0 _let_88 _let_87 _let_85))) (let ((_let_90 (not tptp.hskp12))) (let ((_let_91 (tptp.c2_1 tptp.a2294))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c1_1 tptp.a2294))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.c0_1 tptp.a2294))) (let ((_let_96 (and tptp.ndr1_0 _let_95 _let_94 _let_92))) (let ((_let_97 (tptp.c3_1 tptp.a2293))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c2_1 tptp.a2293))) (let ((_let_100 (tptp.c0_1 tptp.a2293))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_99 _let_98))) (let ((_let_102 (tptp.c2_1 tptp.a2291))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c1_1 tptp.a2291))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c0_1 tptp.a2291))) (let ((_let_107 (not _let_106))) (let ((_let_108 (and tptp.ndr1_0 _let_107 _let_105 _let_103))) (let ((_let_109 (tptp.c1_1 tptp.a2287))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c2_1 tptp.a2287))) (let ((_let_112 (tptp.c0_1 tptp.a2287))) (let ((_let_113 (and tptp.ndr1_0 _let_112 _let_111 _let_110))) (let ((_let_114 (tptp.c2_1 tptp.a2286))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c0_1 tptp.a2286))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.c1_1 tptp.a2286))) (let ((_let_119 (and tptp.ndr1_0 _let_118 _let_117 _let_115))) (let ((_let_120 (tptp.c3_1 tptp.a2285))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c1_1 tptp.a2285))) (let ((_let_123 (tptp.c0_1 tptp.a2285))) (let ((_let_124 (and tptp.ndr1_0 _let_123 _let_122 _let_121))) (let ((_let_125 (tptp.c3_1 tptp.a2284))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c1_1 tptp.a2284))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.c0_1 tptp.a2284))) (let ((_let_130 (not _let_129))) (let ((_let_131 (and tptp.ndr1_0 _let_130 _let_128 _let_126))) (let ((_let_132 (tptp.c3_1 tptp.a2282))) (let ((_let_133 (not _let_132))) (let ((_let_134 (tptp.c0_1 tptp.a2282))) (let ((_let_135 (not _let_134))) (let ((_let_136 (tptp.c2_1 tptp.a2282))) (let ((_let_137 (and tptp.ndr1_0 _let_136 _let_135 _let_133))) (let ((_let_138 (tptp.c2_1 tptp.a2280))) (let ((_let_139 (not _let_138))) (let ((_let_140 (tptp.c3_1 tptp.a2280))) (let ((_let_141 (tptp.c1_1 tptp.a2280))) (let ((_let_142 (and tptp.ndr1_0 _let_141 _let_140 _let_139))) (let ((_let_143 (not tptp.hskp3))) (let ((_let_144 (tptp.c3_1 tptp.a2279))) (let ((_let_145 (not _let_144))) (let ((_let_146 (tptp.c2_1 tptp.a2279))) (let ((_let_147 (not _let_146))) (let ((_let_148 (tptp.c0_1 tptp.a2279))) (let ((_let_149 (and tptp.ndr1_0 _let_148 _let_147 _let_145))) (let ((_let_150 (tptp.c2_1 tptp.a2277))) (let ((_let_151 (not _let_150))) (let ((_let_152 (tptp.c1_1 tptp.a2277))) (let ((_let_153 (tptp.c0_1 tptp.a2277))) (let ((_let_154 (and tptp.ndr1_0 _let_153 _let_152 _let_151))) (let ((_let_155 (tptp.c0_1 tptp.a2276))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.c3_1 tptp.a2276))) (let ((_let_158 (tptp.c1_1 tptp.a2276))) (let ((_let_159 (and tptp.ndr1_0 _let_158 _let_157 _let_156))) (let ((_let_160 (not (not (and (or (not tptp.hskp0) _let_159) (or (not tptp.hskp1) _let_154) (or (not tptp.hskp2) _let_149) (or _let_143 _let_142) (or (not tptp.hskp4) _let_137) (or (not tptp.hskp5) _let_131) (or (not tptp.hskp6) _let_124) (or (not tptp.hskp7) _let_119) (or (not tptp.hskp8) _let_113) (or (not tptp.hskp9) _let_108) (or (not tptp.hskp10) _let_101) (or (not tptp.hskp11) _let_96) (or _let_90 _let_89) (or (not tptp.hskp13) _let_83) (or (not tptp.hskp14) _let_77) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2303) (tptp.c2_1 tptp.a2303) (not (tptp.c3_1 tptp.a2303)))) (or (not tptp.hskp16) _let_72) (or (not tptp.hskp17) _let_65) (or (not tptp.hskp18) _let_58) (or (not tptp.hskp19) _let_52) (or (not tptp.hskp20) _let_46) (or (not tptp.hskp21) _let_41) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c2_1 tptp.a2325) (not (tptp.c0_1 tptp.a2325)) (not (tptp.c1_1 tptp.a2325)))) (or _let_35 _let_34) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2337) (tptp.c3_1 tptp.a2337) (not (tptp.c1_1 tptp.a2337)))) (or (not tptp.hskp25) _let_28) (or (not tptp.hskp26) _let_23) (or (not tptp.hskp27) _let_17) (or (not tptp.hskp28) _let_12) (or (not tptp.hskp29) _let_8) (or (not tptp.hskp30) _let_4) (or (not tptp.hskp31) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2387) (tptp.c2_1 tptp.a2387) (tptp.c3_1 tptp.a2387))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c3_1 V))))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X) (tptp.c3_1 X) (not (tptp.c2_1 X))))) tptp.hskp1) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z))))) tptp.hskp28) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) tptp.hskp2 tptp.hskp3) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c2_1 X2)))) tptp.hskp0 tptp.hskp4) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X4) (not (tptp.c2_1 X4)) (not (tptp.c3_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X5) (not (tptp.c1_1 X5)) (not (tptp.c3_1 X5)))))) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c2_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7))))) tptp.hskp1) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c3_1 X8))))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X9) (not (tptp.c0_1 X9)) (not (tptp.c2_1 X9))))) tptp.hskp5) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c3_1 X10))))) tptp.hskp6 tptp.hskp7) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c1_1 X11) (not (tptp.c3_1 X11))))) tptp.hskp8 tptp.hskp7) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c2_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c2_1 X13) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)))))) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c2_1 X15) (tptp.c3_1 X15)))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X16) (tptp.c3_1 X16) (not (tptp.c0_1 X16))))) tptp.hskp5) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17)))) tptp.hskp28 tptp.hskp9) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c2_1 X18) (tptp.c3_1 X18)))) tptp.hskp6 tptp.hskp10) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19)))) tptp.hskp11 tptp.hskp12) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (not (tptp.c1_1 X20))))) tptp.hskp28 tptp.hskp8) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c3_1 X21))))) tptp.hskp4 tptp.hskp13) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X23) (tptp.c3_1 X23) (not (tptp.c0_1 X23))))) tptp.hskp11) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24))))) tptp.hskp1 tptp.hskp14) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c3_1 X25) (not (tptp.c1_1 X25))))) tptp.hskp15 tptp.hskp16) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c3_1 X26) (not (tptp.c2_1 X26))))) tptp.hskp14 tptp.hskp17) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c2_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (tptp.c3_1 X28) (not (tptp.c1_1 X28))))) tptp.hskp17) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (not (tptp.c1_1 X29)) (not (tptp.c2_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X30) (not (tptp.c0_1 X30)) (not (tptp.c2_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c2_1 X31)))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X33)) (not (tptp.c2_1 X33)) (not (tptp.c3_1 X33))))) tptp.hskp18) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34))))) tptp.hskp29 tptp.hskp8) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (not (tptp.c1_1 X35)) (not (tptp.c3_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36))))) tptp.hskp0) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c3_1 X37))))) tptp.hskp14 tptp.hskp17) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (not (tptp.c2_1 X38)) (not (tptp.c3_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c3_1 X39) (not (tptp.c0_1 X39))))) tptp.hskp8) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (not (tptp.c2_1 X40)) (not (tptp.c3_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c3_1 X41) (not (tptp.c2_1 X41))))) tptp.hskp30) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (not (tptp.c2_1 X42)) (not (tptp.c3_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X43) (tptp.c3_1 X43) (not (tptp.c1_1 X43))))) tptp.hskp19) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (not (tptp.c2_1 X44)) (not (tptp.c3_1 X44))))) tptp.hskp29 tptp.hskp8) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c2_1 X45)) (not (tptp.c3_1 X45))))) tptp.hskp12 tptp.hskp13) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c2_1 X46)) (not (tptp.c3_1 X46))))) tptp.hskp30 tptp.hskp19) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) tptp.hskp20) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (tptp.c2_1 X48) (tptp.c3_1 X48)))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c3_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X50)) (not (tptp.c1_1 X50)) (not (tptp.c2_1 X50)))))) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X51) (tptp.c2_1 X51) (tptp.c3_1 X51)))) tptp.hskp21 tptp.hskp22) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (tptp.c2_1 X52) (not (tptp.c0_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X53)) (not (tptp.c2_1 X53)) (not (tptp.c3_1 X53))))) tptp.hskp0) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c3_1 X54) (not (tptp.c0_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (tptp.c3_1 X55) (not (tptp.c0_1 X55))))) tptp.hskp23) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c3_1 X56) (not (tptp.c0_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X57)) (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57))))) tptp.hskp1) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (tptp.c3_1 X58) (not (tptp.c0_1 X58))))) tptp.hskp12) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c3_1 X59) (not (tptp.c2_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c1_1 X60))))) tptp.hskp23) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c3_1 X61) (not (tptp.c2_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X62)) (not (tptp.c1_1 X62)) (not (tptp.c3_1 X62))))) tptp.hskp0) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (not (tptp.c0_1 X63)) (not (tptp.c2_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64))))) tptp.hskp12) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (not (tptp.c0_1 X65)) (not (tptp.c3_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c1_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X67)) (not (tptp.c1_1 X67)) (not (tptp.c3_1 X67)))))) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp19 tptp.hskp4) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (not (tptp.c2_1 X69)) (not (tptp.c3_1 X69))))) tptp.hskp1 tptp.hskp4) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (not (tptp.c2_1 X70)) (not (tptp.c3_1 X70))))) tptp.hskp24 tptp.hskp21) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71))))) tptp.hskp3 tptp.hskp4) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c0_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c1_1 X73))))) tptp.hskp14) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (tptp.c3_1 X74) (not (tptp.c0_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c2_1 X75))))) tptp.hskp25) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (tptp.c3_1 X76) (not (tptp.c0_1 X76))))) tptp.hskp24 tptp.hskp25) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (tptp.c3_1 X77) (not (tptp.c1_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X78)) (not (tptp.c1_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp26) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79))))) tptp.hskp12 tptp.hskp19) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X80) (not (tptp.c1_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp30 tptp.hskp21) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c0_1 X81)) (not (tptp.c1_1 X81))))) (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X82)) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82))))) tptp.hskp3) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83))))) tptp.hskp21 tptp.hskp16) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X84) (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84))))) tptp.hskp2 tptp.hskp4) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c2_1 X85))))) tptp.hskp30 tptp.hskp16) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X86) (not (tptp.c1_1 X86)) (not (tptp.c2_1 X86))))) tptp.hskp7 tptp.hskp19) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X87)) (not (tptp.c1_1 X87)) (not (tptp.c2_1 X87))))) tptp.hskp2 tptp.hskp18) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X88)) (not (tptp.c1_1 X88)) (not (tptp.c2_1 X88))))) tptp.hskp13 tptp.hskp18) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X89)) (not (tptp.c2_1 X89)) (not (tptp.c3_1 X89))))) tptp.hskp8 tptp.hskp5) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X90)) (not (tptp.c2_1 X90)) (not (tptp.c3_1 X90))))) tptp.hskp25 tptp.hskp23) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X91)) (not (tptp.c2_1 X91)) (not (tptp.c3_1 X91))))) tptp.hskp27 tptp.hskp9) (or tptp.hskp29 tptp.hskp27 tptp.hskp3) (or tptp.hskp28 tptp.hskp0 tptp.hskp13) (or tptp.hskp28 tptp.hskp26 tptp.hskp16) (or tptp.hskp1 tptp.hskp14 tptp.hskp20) (or tptp.hskp6 tptp.hskp11 tptp.hskp30) (or tptp.hskp6 tptp.hskp12 tptp.hskp0) (or tptp.hskp31 tptp.hskp7 tptp.hskp14) (or tptp.hskp31 tptp.hskp22 tptp.hskp18) (or tptp.hskp8 tptp.hskp10 tptp.hskp19) (or tptp.hskp24 tptp.hskp22 tptp.hskp13) (or tptp.hskp3 tptp.hskp14 tptp.hskp22)))))) (let ((_let_161 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_162 (forall ((X19 $$unsorted)) (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19))))) (let ((_let_163 (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17))))) (let ((_let_164 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_165 (not _let_164))) (let ((_let_166 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_167 (not _let_166))) (let ((_let_168 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_169 _let_167 _let_165))) (let ((_let_171 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c3_1 V)))))) (let ((_let_172 (not _let_157))) (let ((_let_173 (not _let_158))) (let ((_let_174 (tptp.c2_1 tptp.a2276))) (let ((_let_175 (or _let_174 _let_173 _let_172))) (let ((_let_176 (forall ((X16 $$unsorted)) (or (tptp.c1_1 X16) (tptp.c3_1 X16) (not (tptp.c0_1 X16)))))) (let ((_let_177 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_178 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_179 (not _let_161))) (let ((_let_180 (or _let_177 _let_178 _let_179))) (let ((_let_181 (forall ((X23 $$unsorted)) (or (tptp.c2_1 X23) (tptp.c3_1 X23) (not (tptp.c0_1 X23)))))) (let ((_let_182 (not _let_180))) (let ((_let_183 (not _let_9))) (let ((_let_184 (not _let_10))) (let ((_let_185 (tptp.c2_1 tptp.a2278))) (let ((_let_186 (or _let_185 _let_184 _let_183))) (let ((_let_187 (not _let_181))) (let ((_let_188 (forall ((Z $$unsorted)) (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z)))))) (let ((_let_189 (forall ((X5 $$unsorted)) (or (tptp.c2_1 X5) (not (tptp.c1_1 X5)) (not (tptp.c3_1 X5)))))) (let ((_let_190 (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36)))))) (let ((_let_191 (not _let_75))) (let ((_let_192 (not _let_76))) (let ((_let_193 (or _let_73 _let_192 _let_191))) (let ((_let_194 (not _let_190))) (let ((_let_195 (not _let_193))) (let ((_let_196 (forall ((X72 $$unsorted)) (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c0_1 X72)))))) (let ((_let_197 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_198 (not _let_197))) (let ((_let_199 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_200 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_201 (or _let_200 _let_199 _let_198))) (let ((_let_202 (not _let_152))) (let ((_let_203 (not _let_153))) (let ((_let_204 (or _let_150 _let_203 _let_202))) (let ((_let_205 (forall ((X66 $$unsorted)) (or (tptp.c2_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c1_1 X66)))))) (let ((_let_206 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_207 (not _let_206))) (let ((_let_208 (or _let_200 _let_198 _let_207))) (let ((_let_209 (or _let_155 _let_173 _let_172))) (let ((_let_210 (forall ((X35 $$unsorted)) (or (tptp.c0_1 X35) (not (tptp.c1_1 X35)) (not (tptp.c3_1 X35)))))) (let ((_let_211 (forall ((X37 $$unsorted)) (or (tptp.c0_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c3_1 X37)))))) (let ((_let_212 (not _let_199))) (let ((_let_213 (or _let_200 _let_198 _let_212))) (let ((_let_214 (forall ((X49 $$unsorted)) (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c3_1 X49)))))) (let ((_let_215 (forall ((X50 $$unsorted)) (or (not (tptp.c0_1 X50)) (not (tptp.c1_1 X50)) (not (tptp.c2_1 X50)))))) (let ((_let_216 (forall ((X48 $$unsorted)) (or (tptp.c1_1 X48) (tptp.c2_1 X48) (tptp.c3_1 X48))))) (let ((_let_217 (or _let_63 _let_61 _let_59))) (let ((_let_218 (forall ((X22 $$unsorted)) (or (tptp.c0_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22)))))) (let ((_let_219 (tptp.c1_1 tptp.a2282))) (let ((_let_220 (not _let_219))) (let ((_let_221 (or _let_134 _let_132 _let_220))) (let ((_let_222 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_223 (not 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3)) :args ((or _let_151 _let_261))))) (let ((_let_389 (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_150 _let_203 _let_202 (not _let_204)))))) (let ((_let_390 (_let_205))) (let ((_let_391 ((not (= (tptp.c2_1 X66) true))))) (let ((_let_392 (ASSUME :args _let_390))) (let ((_let_393 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_392 :args (tptp.a2277 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)))) (let ((_let_394 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_205 (= X66 X73)))))) (let ((_let_395 (not _let_205))) (let ((_let_396 (_let_395))) (let ((_let_397 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_396)) :args _let_396)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_395) _let_205))) (REFL :args ((not _let_208))) :args _let_302)))) (let ((_let_398 (AND_ELIM _let_264 :args (80)))) (let ((_let_399 (CNF_OR_NEG :args (_let_208 0)))) (let ((_let_400 (REFL :args (_let_208)))) (let ((_let_401 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_208 1)) (CONG _let_400 (MACRO_SR_PRED_INTRO :args ((= (not _let_198) _let_197))) :args _let_302)) :args ((or _let_197 _let_208))))) (let ((_let_402 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_181 (= X23 X72)))))) (let ((_let_403 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (tptp.a2285 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)))) (let ((_let_404 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)))) (let ((_let_405 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)))) (let ((_let_406 (not _let_366))) (let ((_let_407 (not _let_362))) (let ((_let_408 (REORDERING (CNF_OR_POS :args (_let_362)) :args ((or _let_120 _let_353 _let_361 _let_407))))) (let ((_let_409 (not _let_368))) (let ((_let_410 (not _let_364))) (let ((_let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_358 _let_357 _let_367 _let_409))) (REORDERING (CNF_OR_POS :args (_let_364)) :args ((or _let_358 _let_357 _let_363 _let_410))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_359 1)) (CONG (REFL :args (_let_359)) (MACRO_SR_PRED_INTRO :args ((= (not _let_357) _let_356))) :args _let_302)) :args ((or _let_356 _let_359))) (CNF_OR_NEG :args (_let_359 0)) :args ((or _let_359 _let_410 _let_409) false _let_363 false _let_356 true _let_358)))) (let ((_let_412 (not _let_201))) (let ((_let_413 (REORDERING (CNF_OR_POS :args (_let_201)) :args ((or _let_200 _let_198 _let_199 _let_412))))) (let ((_let_414 (_let_215))) (let ((_let_415 ((not (= (tptp.c0_1 X50) false))))) (let ((_let_416 (ASSUME :args _let_414))) (let ((_let_417 (_let_369))) (let ((_let_418 ((not (= (tptp.c3_1 X9) true))))) (let ((_let_419 (ASSUME :args _let_417))) (let ((_let_420 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)))) (let 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(SKOLEMIZE (ASSUME :args _let_434)) :args _let_434)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_187) _let_181))) (REFL :args (_let_182)) :args _let_302)))) (let ((_let_436 (CNF_OR_NEG :args (_let_180 0)))) (let ((_let_437 (CNF_OR_NEG :args (_let_180 1)))) (let ((_let_438 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_180 2)) (CONG (REFL :args (_let_180)) (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_161))) :args _let_302)) :args ((or _let_161 _let_180))))) (let ((_let_439 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_392 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)))) (let ((_let_440 (REORDERING (CNF_OR_POS :args (_let_433)) :args ((or _let_177 _let_179 _let_432 (not _let_433)))))) (let ((_let_441 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (tptp.a2279 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)))) (let ((_let_442 (not _let_430))) (let ((_let_443 (not _let_149))) (let ((_let_444 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_let_402 :args ((or tptp.hskp14 _let_181 _let_431) false _let_433 false _let_371 false _let_205 false _let_161 true _let_178 true _let_177 false _let_360 false tptp.ndr1_0 true _let_180 true _let_196)) :args ((or tptp.hskp14 tptp.hskp17 _let_370 _let_431) false tptp.ndr1_0 true tptp.hskp4 true tptp.hskp2 true _let_137 true _let_149 false _let_238 false _let_430 false _let_239 false tptp.ndr1_0 false _let_181)))) (let ((_let_449 (MACRO_RESOLUTION_TRUST _let_305 _let_448 _let_311 _let_428 _let_314 _let_427 _let_269 _let_426 _let_422 _let_421 _let_420 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_416 :args (tptp.a2285 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_415)) :args _let_414)) _let_413 _let_411 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_366)) :args ((or _let_353 _let_352 _let_365 _let_406))) _let_408 _let_374 _let_375 _let_376 :args ((or _let_373 _let_407 _let_406) false _let_361 true _let_120 false _let_122 false _let_123)) _let_405 _let_404 _let_403 _let_402 _let_401 _let_399 _let_398 _let_269 _let_397 _let_394 _let_393 _let_389 _let_388 _let_387 _let_386 _let_265 _let_351 _let_385 _let_382 _let_378 _let_376 _let_375 _let_374 :args ((or tptp.hskp14 _let_373) false tptp.hskp17 true _let_65 false _let_372 false _let_217 false _let_216 false tptp.ndr1_0 true _let_214 true _let_370 true _let_213 true _let_369 true _let_215 false _let_199 true _let_368 true _let_366 false _let_201 false _let_364 false _let_362 false _let_181 false _let_197 true _let_200 false _let_196 false tptp.ndr1_0 true _let_208 true _let_360 true _let_205 true _let_204 true _let_150 false _let_152 false _let_153 false _let_154 false tptp.hskp1 true _let_359 true _let_355 true _let_354 false _let_123 false _let_122 true _let_120)))) (let ((_let_450 (MACRO_RESOLUTION_TRUST _let_389 _let_393 _let_388 _let_387 _let_386 _let_394 _let_265 _let_398 _let_269 _let_351 :args ((or tptp.hskp14 _let_196) false _let_204 true _let_150 false _let_152 false _let_153 false _let_205 false _let_154 false _let_360 false tptp.ndr1_0 false tptp.hskp1)))) (let ((_let_451 (AND_ELIM _let_264 :args (6)))) (let ((_let_452 (not _let_88))) (let ((_let_453 (or _let_86 _let_84 _let_452))) (let ((_let_454 (not _let_89))) (let ((_let_455 (forall ((X56 $$unsorted)) (or (tptp.c1_1 X56) (tptp.c3_1 X56) (not (tptp.c0_1 X56)))))) (let ((_let_456 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_457 (not _let_456))) (let ((_let_458 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_459 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_460 (or _let_459 _let_458 _let_457))) (let ((_let_461 (forall ((X7 $$unsorted)) (or (tptp.c2_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7)))))) (let ((_let_462 (forall ((X47 $$unsorted)) (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47)))))) (let ((_let_463 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_464 (not _let_463))) (let ((_let_465 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_466 (not _let_465))) (let ((_let_467 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_468 (or _let_467 _let_466 _let_464))) (let ((_let_469 (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)))))) (let ((_let_470 (forall ((X29 $$unsorted)) (or (tptp.c0_1 X29) (not (tptp.c1_1 X29)) (not (tptp.c2_1 X29)))))) (let ((_let_471 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_472 (not _let_471))) (let ((_let_473 (or _let_467 _let_472 _let_466))) (let ((_let_474 (forall ((X30 $$unsorted)) (or (tptp.c3_1 X30) (not (tptp.c0_1 X30)) (not (tptp.c2_1 X30)))))) (let ((_let_475 (forall ((X31 $$unsorted)) (or (tptp.c3_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c2_1 X31)))))) (let ((_let_476 (or _let_463 _let_472 _let_466))) (let ((_let_477 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_176 (= X16 X56)))))) (let ((_let_478 (not _let_176))) (let ((_let_479 (_let_478))) (let ((_let_480 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_479)) 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:args ((or _let_522 _let_521) true _let_138 false _let_140 false _let_141)))) (let ((_let_524 (AND_ELIM _let_264 :args (3)))) (let ((_let_525 (or _let_31 _let_29 _let_234))) (let ((_let_526 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (tptp.c2_1 X13) (not (tptp.c3_1 X13)))))) (let ((_let_527 (or _let_31 _let_235 _let_234))) (let ((_let_528 (not _let_174))) (let ((_let_529 (or _let_155 _let_173 _let_528))) (let ((_let_530 (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c2_1 X12) (tptp.c3_1 X12))))) (let ((_let_531 (or _let_70 _let_68 _let_66))) (let ((_let_532 (tptp.c2_1 tptp.a2324))) (let ((_let_533 (or _let_38 _let_532 _let_36))) (let ((_let_534 (tptp.c3_1 tptp.a2286))) (let ((_let_535 (or _let_116 _let_114 _let_534))) (let ((_let_536 (not _let_532))) (let ((_let_537 (not _let_40))) (let ((_let_538 (or _let_36 _let_537 _let_536))) (let ((_let_539 (forall ((X83 $$unsorted)) (or (tptp.c3_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83)))))) (let ((_let_540 (IMPLIES_ELIM (SCOPE 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(forall ((X64 $$unsorted)) (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64)))))) (let ((_let_901 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (tptp.a2284 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_288)) :args _let_287)))) (let ((_let_902 (or _let_129 _let_127 _let_896))) (let ((_let_903 (not _let_898))) (let ((_let_904 (AND_ELIM _let_264 :args (5)))) (let ((_let_905 (not _let_131))) (let ((_let_906 (REORDERING (CNF_AND_POS :args (_let_131 1)) :args ((or _let_130 _let_905))))) (let ((_let_907 (REORDERING (CNF_AND_POS :args (_let_131 2)) :args ((or _let_128 _let_905))))) (let ((_let_908 (not _let_902))) (let ((_let_909 (MACRO_RESOLUTION_TRUST _let_740 _let_739 _let_269 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_326 :args (tptp.a2284 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_325)) :args _let_324)) _let_668 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_902)) :args ((or _let_129 _let_127 _let_896 _let_908))) (REORDERING (CNF_OR_POS :args (_let_898)) :args ((or _let_129 _let_127 _let_897 _let_903))) :args ((or _let_129 _let_127 _let_903 _let_908) true _let_896)) _let_674 _let_907 _let_906 _let_680 _let_904 _let_733 (AND_ELIM _let_264 :args (43)) _let_269 _let_477 :args ((or _let_188 _let_571 _let_176 _let_701 _let_903) false _let_734 false tptp.ndr1_0 true _let_249 true tptp.hskp28 true _let_902 true _let_12 true _let_127 true _let_129 false _let_643 false _let_131 false _let_644 false tptp.hskp5 false tptp.ndr1_0 true _let_455)))) (let ((_let_910 (MACRO_RESOLUTION_TRUST _let_774 _let_269 _let_775 _let_764 _let_779 _let_763 _let_761 _let_760 :args ((or _let_623 _let_478 _let_776) false tptp.ndr1_0 true tptp.hskp13 true tptp.hskp12 true _let_83 true _let_89 false _let_622 false _let_453)))) (let ((_let_911 (AND_ELIM _let_264 :args (74)))) (let ((_let_912 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_369 (= X9 X64)))))) (let ((_let_913 (not _let_579))) (let ((_let_914 (REORDERING (CNF_OR_POS :args (_let_579)) :args ((or _let_42 _let_227 _let_576 _let_913))))) (let ((_let_915 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_549 :args (tptp.a2323 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_548)) :args _let_547)))) (let ((_let_916 (or _let_120 _let_352 _let_365))) (let ((_let_917 (or _let_184 _let_645 _let_183))) (let ((_let_918 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_326 :args (tptp.a2291 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_325)) :args _let_324)))) (let ((_let_919 (not _let_494))) (let ((_let_920 (not _let_108))) (let ((_let_921 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_494)) :args ((or _let_106 _let_104 _let_102 _let_919))) (REORDERING (CNF_AND_POS :args (_let_108 3)) :args ((or _let_103 _let_920))) (REORDERING (CNF_AND_POS :args (_let_108 2)) :args ((or _let_105 _let_920))) (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_107 _let_920))) :args ((or _let_920 _let_919) true _let_102 true _let_104 true _let_106)))) (let ((_let_922 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_562 :args (tptp.a2367 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_560)))) (let ((_let_923 (AND_ELIM _let_264 :args (9)))) (let ((_let_924 (not _let_507))) (let ((_let_925 (not _let_17))) (let ((_let_926 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_13 _let_506 _let_505 _let_924))) (REORDERING (CNF_AND_POS :args (_let_17 3)) :args ((or _let_14 _let_925))) (REORDERING (CNF_AND_POS :args (_let_17 2)) :args ((or _let_15 _let_925))) (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 _let_925))) :args ((or _let_925 _let_924) true _let_13 false _let_15 false _let_16)))) (let ((_let_927 (REORDERING (AND_ELIM _let_264 :args (44)) :args ((or tptp.hskp9 tptp.hskp28 _let_797 _let_163))))) (let ((_let_928 (AND_ELIM _let_264 :args (27)))) (let ((_let_929 (REORDERING (AND_ELIM _let_264 :args (95)) :args ((or tptp.hskp9 tptp.hskp27 _let_797 _let_508))))) (let ((_let_930 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_509 (= X89 X91)))))) (let ((_let_931 (_let_509))) (let ((_let_932 ((not (= (tptp.c1_1 X89) false))))) (let ((_let_933 (ASSUME :args _let_931))) (let ((_let_934 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_917)) :args ((or _let_184 _let_183 _let_645 (not _let_917)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_933 :args (tptp.a2278 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_932)) :args _let_931)) _let_676 _let_930 _let_672 _let_671 _let_929 _let_269 _let_668 _let_928 _let_927 _let_269 _let_926 _let_923 _let_922 _let_921 _let_564 _let_918 _let_873 _let_269 _let_844 _let_874 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_871 :args (tptp.a2285 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_870)) :args _let_869)) _let_845 _let_269 _let_420 (REORDERING (CNF_OR_POS :args (_let_916)) :args ((or _let_120 _let_352 _let_365 (not _let_916)))) _let_446 _let_411 _let_408 _let_444 _let_404 _let_403 _let_441 _let_385 _let_382 _let_378 :args ((or tptp.hskp3 _let_120 _let_163 _let_353 _let_352 _let_187 _let_675) false _let_917 false _let_185 false _let_509 false _let_9 false _let_10 false _let_508 false tptp.ndr1_0 false _let_12 true tptp.hskp27 false tptp.hskp28 false tptp.ndr1_0 true _let_17 true tptp.hskp9 false _let_507 true _let_108 false _let_469 false _let_494 false _let_470 false tptp.ndr1_0 false _let_249 true _let_474 true _let_475 false _let_491 false tptp.ndr1_0 true _let_369 true _let_916 true tptp.hskp2 true _let_368 false _let_361 true _let_149 false _let_364 false _let_362 false _let_430 true _let_359 true _let_355 true _let_354)))) (let ((_let_935 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_936 (not _let_935))) (let ((_let_937 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_938 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_939 (or _let_938 _let_937 _let_936))) (let ((_let_940 (not _let_95))) (let ((_let_941 (or _let_93 _let_91 _let_940))) (let ((_let_942 (forall ((X52 $$unsorted)) (or (tptp.c1_1 X52) (tptp.c2_1 X52) (not (tptp.c0_1 X52)))))) (let ((_let_943 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_944 (or _let_938 _let_943 _let_936))) (let ((_let_945 (not _let_937))) (let ((_let_946 (or _let_943 _let_936 _let_945))) (let ((_let_947 (or _let_938 _let_936 _let_945))) (let ((_let_948 (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34)))))) (let ((_let_949 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_335 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)))) (let ((_let_950 (AND_ELIM _let_264 :args (46)))) (let ((_let_951 (AND_ELIM _let_264 :args (11)))) (let ((_let_952 (not _let_96))) (let ((_let_953 (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_95 _let_952))))) (let ((_let_954 (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_94 _let_952))))) (let ((_let_955 (REORDERING (CNF_AND_POS :args (_let_96 3)) :args ((or _let_92 _let_952))))) (let ((_let_956 (REORDERING (CNF_OR_POS :args (_let_941)) :args ((or _let_93 _let_91 _let_940 (not _let_941)))))) (let ((_let_957 (_let_942))) (let ((_let_958 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_957) :args (tptp.a2294 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X52) true))))) :args _let_957)))) (let ((_let_959 (not _let_942))) (let ((_let_960 (_let_959))) (let ((_let_961 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_960)) :args _let_960)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_959) _let_942))) (REFL :args ((not _let_944))) :args _let_302)))) (let ((_let_962 (CNF_OR_NEG :args (_let_944 0)))) (let ((_let_963 (CNF_OR_NEG :args (_let_944 1)))) (let ((_let_964 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_944 2)) (CONG (REFL :args (_let_944)) (MACRO_SR_PRED_INTRO :args ((= (not _let_936) _let_935))) :args _let_302)) :args ((or _let_935 _let_944))))) (let ((_let_965 (REORDERING (CNF_OR_POS :args (_let_939)) :args ((or _let_938 _let_936 _let_937 (not _let_939)))))) (let ((_let_966 (REORDERING (CNF_OR_POS :args (_let_946)) :args ((or _let_943 _let_936 _let_945 (not _let_946)))))) (let ((_let_967 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)))) (let ((_let_968 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_416 :args (tptp.a2309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_415)) :args _let_414)))) (let ((_let_969 (not _let_513))) (let ((_let_970 (not _let_8))) (let ((_let_971 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_513)) :args ((or _let_512 _let_511 _let_510 _let_969))) (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_970))) (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_970))) (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_970))) :args ((or _let_970 _let_969) false _let_5 false _let_6 false _let_7)))) (let ((_let_972 (AND_ELIM _let_264 :args (29)))) (let ((_let_973 (MACRO_RESOLUTION_TRUST _let_838 _let_836 _let_835 _let_834 _let_832 _let_831 _let_828 _let_824 _let_823 _let_822 _let_821 _let_819 (REORDERING (AND_ELIM _let_264 :args (56)) :args ((or tptp.hskp8 tptp.hskp29 _let_797 _let_948))) _let_269 _let_972 _let_971 _let_968 _let_427 _let_269 _let_314 _let_311 _let_305 _let_808 _let_269 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_469 (= X14 X34)))) _let_807 _let_563 _let_559 _let_558 _let_556 _let_555 _let_554 _let_552 _let_551 _let_269 _let_918 _let_921 _let_923 _let_927 _let_269 _let_668 _let_674 _let_680 _let_727 _let_730 _let_269 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_715 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_713)) _let_967 (REORDERING (CNF_OR_POS :args (_let_947)) :args ((or _let_938 _let_936 _let_945 (not _let_947)))) _let_966 _let_965 _let_964 _let_963 _let_962 _let_961 _let_958 _let_956 _let_955 _let_954 _let_953 _let_951 _let_795 _let_439 _let_950 _let_269 _let_794 _let_440 _let_764 _let_793 _let_763 _let_792 _let_949 _let_816 _let_760 :args ((or _let_171 _let_163 _let_162 _let_478 _let_177 _let_178 _let_179 _let_557 _let_837) false _let_164 false _let_166 false _let_168 true _let_607 true _let_608 true _let_606 true _let_605 true _let_109 false _let_111 false _let_112 false _let_113 false tptp.hskp8 false tptp.ndr1_0 true tptp.hskp29 true _let_8 false _let_513 false _let_215 false tptp.ndr1_0 true _let_216 true _let_217 false _let_65 false tptp.hskp17 false tptp.ndr1_0 true _let_948 true _let_599 true _let_469 true _let_529 false _let_174 true _let_155 false _let_157 false _let_158 false _let_159 false tptp.hskp0 false tptp.ndr1_0 true _let_249 true _let_494 false _let_108 false tptp.hskp9 false tptp.ndr1_0 true tptp.hskp28 true _let_12 false _let_643 false _let_644 false _let_717 false tptp.ndr1_0 true _let_701 true _let_214 true _let_947 true _let_946 false _let_937 false _let_935 true _let_943 true _let_938 true _let_944 true _let_942 true _let_941 true _let_91 true _let_93 false _let_95 false _let_96 true _let_591 true _let_205 false tptp.hskp11 false tptp.ndr1_0 true _let_782 true _let_433 true tptp.hskp12 false _let_371 true _let_89 false _let_781 false _let_939 false _let_809 false _let_453)))) (let ((_let_974 (AND_ELIM _let_264 :args (10)))) (let ((_let_975 (not _let_101))) (let ((_let_976 (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_100 _let_975))))) (let ((_let_977 (REORDERING (CNF_AND_POS :args (_let_101 2)) :args ((or _let_99 _let_975))))) (let ((_let_978 (REORDERING (CNF_AND_POS :args (_let_101 3)) :args ((or _let_98 _let_975))))) (let ((_let_979 (REORDERING (CNF_OR_POS :args (_let_568)) :args ((or _let_97 _let_567 _let_566 _let_570))))) (let ((_let_980 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (tptp.a2293 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)))) (let ((_let_981 (MACRO_RESOLUTION_TRUST _let_980 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_979 _let_978 _let_977 _let_976 :args ((or _let_975 _let_570) true _let_97 false _let_99 false _let_100)) (MACRO_RESOLUTION_TRUST _let_974 (MACRO_RESOLUTION_TRUST _let_559 _let_558 _let_556 _let_555 _let_554 _let_552 _let_551 _let_269 _let_563 _let_328 _let_565 _let_269 _let_349 _let_545 _let_350 _let_541 _let_348 _let_347 _let_346 _let_344 _let_343 _let_269 _let_341 _let_973 _let_438 _let_437 _let_436 _let_435 _let_342 _let_934 _let_915 _let_914 (REORDERING (CNF_OR_POS :args (_let_578)) :args ((or _let_228 _let_227 _let_577 (not _let_578)))) _let_842 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_841 :args (tptp.a2323 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_840)) :args _let_839)) _let_884 _let_885 _let_269 _let_524 _let_523 _let_650 _let_296 _let_520 _let_540 (MACRO_RESOLUTION_TRUST _let_398 _let_269 _let_394 _let_402 _let_879 _let_404 _let_878 _let_411 _let_877 _let_420 _let_875 _let_266 _let_912 _let_756 _let_911 _let_269 _let_751 _let_764 _let_773 _let_763 _let_910 _let_760 _let_909 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_827 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_826)) :args _let_825)) _let_716 (REORDERING (CNF_OR_POS :args (_let_899)) :args ((or _let_695 _let_694 _let_699 (not _let_899)))) _let_712 _let_711 _let_710 _let_780 _let_901 _let_706 _let_708 _let_707 _let_291 _let_269 _let_704 _let_292 _let_385 _let_382 _let_378 :args ((or _let_120 _let_188 _let_230 _let_571 _let_353 _let_352) false tptp.ndr1_0 true _let_360 true _let_196 true _let_205 true _let_181 true _let_853 true _let_364 true _let_361 false _let_368 false _let_850 true tptp.hskp14 false _let_369 true _let_77 false _let_900 false tptp.ndr1_0 false _let_193 true tptp.hskp12 false _let_190 true _let_89 false _let_623 false _let_453 false _let_176 true _let_606 true _let_701 true _let_899 true _let_700 false _let_697 false _let_698 false _let_625 false _let_898 false _let_691 false _let_693 true _let_695 false _let_233 false tptp.ndr1_0 true _let_696 true _let_189 true _let_359 true _let_355 true _let_354)) _let_279 _let_745 _let_272 _let_271 _let_270 _let_267 _let_746 _let_269 _let_747 _let_751 _let_756 _let_266 _let_449 _let_859 _let_382 _let_378 _let_374 _let_375 _let_376 _let_451 _let_895 _let_269 _let_894 _let_893 _let_892 _let_891 (MACRO_RESOLUTION_TRUST _let_842 _let_838 _let_884 _let_883 _let_885 _let_269 _let_835 _let_834 _let_524 _let_831 _let_523 _let_828 _let_520 _let_824 _let_744 _let_823 _let_822 _let_821 _let_279 _let_819 _let_745 _let_882 _let_269 _let_267 _let_477 _let_881 _let_746 _let_269 _let_336 _let_747 _let_880 _let_876 _let_771 _let_751 _let_874 _let_305 _let_756 _let_873 _let_269 _let_808 _let_269 _let_266 _let_564 _let_807 _let_890 _let_398 _let_269 _let_806 _let_889 _let_402 _let_394 _let_805 _let_804 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_392 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_803 _let_802 _let_801 (REORDERING (CNF_OR_POS :args (_let_597)) :args ((or _let_583 _let_582 _let_595 (not _let_597)))) (REORDERING (CNF_OR_POS :args (_let_596)) :args ((or _let_583 _let_593 _let_595 (not _let_596)))) _let_799 (REORDERING (CNF_OR_POS :args (_let_585)) :args ((or _let_583 _let_582 _let_584 (not _let_585)))) _let_798 _let_269 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_594 2)) (CONG (REFL :args (_let_594)) (MACRO_SR_PRED_INTRO :args ((= (not _let_593) _let_592))) :args _let_302)) :args ((or _let_592 _let_594))) (CNF_OR_NEG :args (_let_594 1)) (CNF_OR_NEG :args (_let_594 0)) _let_796 _let_859 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_888)) :args _let_888)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_887) _let_591))) (REFL :args ((not _let_594))) :args _let_302)) _let_382 _let_886 _let_378 (MACRO_RESOLUTION_TRUST _let_520 _let_523 _let_743 _let_524 _let_666 _let_885 _let_269 _let_667 _let_884 _let_668 _let_842 _let_674 _let_838 _let_680 _let_883 _let_727 _let_835 _let_834 _let_730 _let_269 _let_831 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_715 :args (tptp.a2287 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_713)) _let_828 (REORDERING (CNF_OR_POS :args (_let_857)) :args ((or _let_109 _let_604 _let_856 (not _let_857)))) _let_824 (REORDERING (CNF_OR_POS :args (_let_852)) :args ((or _let_604 _let_603 _let_851 (not _let_852)))) _let_823 _let_822 _let_821 _let_819 _let_882 _let_269 _let_279 _let_881 _let_745 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_335 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_334)) :args _let_333)) _let_267 (REORDERING (CNF_OR_POS :args (_let_855)) :args ((or _let_247 _let_245 _let_257 (not _let_855)))) _let_746 _let_269 _let_758 _let_747 _let_880 _let_323 _let_322 _let_321 _let_751 _let_320 _let_755 _let_314 _let_754 _let_753 _let_752 _let_311 _let_266 _let_305 _let_398 _let_269 _let_808 _let_269 _let_394 _let_402 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_687 :args (tptp.a2285 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_686)) :args _let_685)) _let_879 _let_403 (REORDERING (CNF_OR_POS :args (_let_854)) :args ((or _let_120 _let_352 _let_361 (not _let_854)))) _let_878 _let_408 _let_877 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (tptp.a2287 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) _let_876 _let_875 _let_874 _let_873 _let_269 _let_872 _let_564 _let_807 (MACRO_RESOLUTION_TRUST _let_868 _let_867 _let_866 _let_865 :args ((or _let_847 _let_864 _let_858) false _let_589 false _let_586 true _let_588)) _let_806 _let_863 _let_805 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.a2324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_274)) :args _let_273)) _let_804 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_846)) :args ((or _let_38 _let_36 _let_537 _let_860))) _let_803 _let_802 _let_801 :args ((or _let_800 _let_860) true _let_36 true _let_38 false _let_40)) _let_803 _let_802 _let_801 _let_799 _let_798 _let_269 _let_796 _let_859 _let_382 _let_378 _let_374 _let_375 _let_376 :args ((or tptp.hskp16 _let_373 _let_631 _let_630 _let_858) true _let_486 false _let_188 false _let_142 false _let_23 false tptp.hskp3 false tptp.ndr1_0 false tptp.hskp26 true _let_574 true tptp.hskp28 true _let_575 true _let_12 true _let_170 false _let_643 false _let_164 false _let_644 false _let_166 false _let_168 false _let_717 false tptp.ndr1_0 true _let_608 true _let_701 true _let_606 true _let_857 true _let_605 false _let_851 true _let_109 false _let_111 false _let_112 false _let_113 false tptp.hskp8 false tptp.ndr1_0 true _let_230 true _let_602 true _let_229 true _let_176 false _let_46 true _let_855 false tptp.hskp20 false tptp.ndr1_0 false _let_253 true _let_462 true _let_601 true _let_245 true _let_246 true _let_247 true _let_190 true _let_248 true _let_193 true _let_216 true _let_73 false _let_75 false _let_76 true _let_217 false _let_77 false _let_65 false tptp.hskp14 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true _let_360 true _let_196 true _let_591 true _let_205 true _let_181 true _let_854 true _let_853 true _let_362 true _let_361 false _let_852 false _let_600 false _let_850 false _let_369 false _let_474 false tptp.ndr1_0 true _let_475 true _let_470 true _let_599 true _let_849 true _let_469 true _let_847 true _let_598 true _let_218 false _let_532 true _let_846 true _let_36 true _let_38 false _let_40 false _let_41 false tptp.hskp21 false tptp.ndr1_0 true _let_539 true _let_573 true _let_355 true _let_354 true _let_120 false _let_122 false _let_123)) _let_374 _let_375 _let_376 _let_451 (MACRO_RESOLUTION_TRUST _let_845 _let_269 _let_844 _let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_326 :args (tptp.a2308 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_325)) :args _let_324)) _let_446 _let_523 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_627)) :args ((or _let_55 _let_53 _let_626 _let_815))) (REORDERING (CNF_OR_POS :args (_let_814)) :args ((or _let_53 _let_812 _let_813 (not _let_814)))) (REORDERING (CNF_AND_POS :args (_let_58 3)) :args ((or _let_54 _let_843))) (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_56 _let_843))) (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_57 _let_843))) (AND_ELIM _let_264 :args (18)) (AND_ELIM _let_264 :args (55)) _let_269 _let_842 _let_838 _let_836 _let_835 _let_834 _let_832 _let_831 _let_828 _let_824 _let_823 _let_822 _let_821 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (tptp.a2308 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)) _let_819 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_214 (= X49 X79)))) (AND_ELIM _let_264 :args (104)) (AND_ELIM _let_264 :args (84)) _let_269 (AND_ELIM _let_264 :args (19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_49 _let_47 _let_810 _let_817))) (REORDERING (CNF_AND_POS :args (_let_52 3)) :args ((or _let_48 _let_818))) (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_50 _let_818))) (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 _let_818))) :args ((or _let_818 _let_817) true _let_47 true _let_49 false _let_51)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_687 :args (tptp.a2316 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_686)) :args _let_685)) _let_808 _let_269 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_469 (= X14 X32)))) _let_807 _let_563 _let_559 _let_558 _let_556 _let_555 _let_554 _let_552 _let_765 _let_764 _let_763 _let_816 _let_760 :args ((or tptp.hskp6 tptp.hskp10 tptp.hskp17 _let_478 _let_815 _let_557) true _let_626 true _let_53 true _let_55 false _let_57 false _let_58 false tptp.hskp18 false tptp.ndr1_0 true _let_575 true _let_170 false _let_164 false _let_166 false _let_168 true _let_607 true _let_608 true _let_606 true _let_605 true _let_109 false _let_111 false _let_112 false _let_814 false _let_113 false _let_214 false tptp.hskp8 false (forall ((X79 $$unsorted)) (or (tptp.c2_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79)))) false tptp.ndr1_0 true tptp.hskp19 true _let_52 false _let_811 false _let_591 false tptp.ndr1_0 true (forall ((X32 $$unsorted)) (or (tptp.c0_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32)))) true _let_599 true _let_469 true _let_529 false _let_174 true _let_155 false _let_157 false _let_158 false _let_159 false tptp.hskp0 true tptp.hskp12 true _let_89 false _let_809 false _let_453)) _let_444 _let_520 _let_540 _let_441 _let_292 (MACRO_RESOLUTION_TRUST _let_330 _let_770 _let_309 _let_308 _let_307 _let_305 _let_808 _let_269 _let_807 _let_806 _let_805 _let_804 _let_803 _let_802 _let_801 _let_799 _let_798 _let_269 _let_796 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_795 (REORDERING (CNF_OR_POS :args (_let_783)) :args ((or _let_178 _let_179 _let_432 (not _let_783)))) _let_794 _let_793 _let_792 _let_336 (MACRO_RESOLUTION_TRUST _let_666 _let_743 _let_667 _let_668 _let_674 _let_680 _let_733 _let_790 _let_789 _let_292 _let_785 _let_348 _let_347 _let_346 _let_344 _let_343 _let_269 _let_477 _let_341 :args ((or tptp.hskp6 tptp.hskp16 _let_230 _let_176 _let_260 _let_263 _let_629) true _let_23 false tptp.hskp26 true tptp.hskp28 true _let_12 false _let_643 false _let_644 true _let_701 true _let_784 true _let_189 true _let_188 true _let_29 true _let_31 false _let_33 false _let_34 false tptp.hskp23 false tptp.ndr1_0 true _let_455 true _let_259)) _let_438 _let_437 _let_436 _let_435 _let_342 :args ((or tptp.hskp6 tptp.hskp16 _let_230 _let_181 _let_263 _let_631 _let_629 _let_628) false _let_250 true _let_59 true _let_61 true _let_63 false _let_65 false tptp.hskp17 false tptp.ndr1_0 true _let_599 true _let_469 true _let_598 false _let_532 true _let_36 true _let_38 false _let_40 false _let_41 false tptp.hskp21 false tptp.ndr1_0 true _let_539 true _let_355 true _let_591 true _let_783 true _let_782 false _let_371 false _let_781 false _let_256 false _let_176 false _let_161 true _let_178 true _let_177 true _let_180 true _let_260)) _let_291 _let_269 _let_279 _let_780 _let_745 _let_779 _let_267 _let_775 _let_746 _let_269 _let_774 _let_269 _let_747 _let_773 _let_751 _let_756 _let_266 _let_772 _let_269 _let_305 _let_771 _let_769 _let_768 _let_766 _let_556 _let_555 _let_554 _let_552 _let_765 _let_764 _let_763 _let_336 _let_761 _let_760 (MACRO_RESOLUTION_TRUST _let_448 _let_305 _let_422 _let_311 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) _let_428 _let_314 (REORDERING (CNF_OR_POS :args (_let_632)) :args ((or _let_458 _let_457 _let_489 (not _let_632)))) _let_320 _let_759 (MACRO_RESOLUTION_TRUST _let_758 _let_332 _let_323 _let_322 :args ((or _let_248 _let_331 _let_630) true _let_253 true _let_245 true _let_246)) _let_757 _let_340 _let_402 _let_398 _let_269 _let_394 _let_393 _let_389 _let_388 _let_387 _let_386 _let_265 _let_351 _let_266 _let_756 _let_751 _let_747 _let_746 _let_269 _let_267 _let_745 _let_279 _let_744 _let_690 _let_483 _let_482 _let_480 _let_477 :args ((or tptp.hskp6 tptp.hskp16 _let_176 _let_630 _let_629) true tptp.hskp17 true _let_370 true _let_65 true _let_369 false _let_372 false _let_217 true _let_632 false _let_216 false _let_487 false _let_248 false _let_488 false _let_258 false _let_181 false _let_196 false tptp.ndr1_0 true _let_360 true _let_205 true _let_204 true _let_150 false _let_152 false _let_153 false _let_154 false tptp.hskp1 true tptp.hskp14 true _let_77 false _let_193 false _let_190 false _let_462 false tptp.ndr1_0 true tptp.hskp20 true _let_46 false _let_229 false _let_230 true _let_188 false _let_456 true _let_458 true _let_460 true _let_455)) :args ((or tptp.hskp6 tptp.hskp10 tptp.hskp16 _let_631 _let_630 _let_629 _let_628) false tptp.ndr1_0 true _let_491 true tptp.hskp3 true _let_249 true tptp.hskp2 true _let_142 true _let_627 true _let_149 false _let_486 false _let_175 false _let_430 false _let_188 false _let_181 false _let_189 false tptp.ndr1_0 true _let_230 true _let_233 true _let_229 true _let_625 false _let_46 false _let_83 false tptp.hskp20 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true _let_462 true _let_623 true _let_190 true _let_193 false _let_77 false tptp.hskp14 false tptp.ndr1_0 true tptp.hskp17 true _let_65 true _let_211 true _let_210 true _let_209 true _let_155 false _let_157 false _let_158 false _let_159 false tptp.hskp0 true tptp.hskp12 true _let_89 false _let_256 false _let_622 false _let_453 false _let_176)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (tptp.a2306 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) _let_619 _let_618 _let_617 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) _let_614 _let_613 :args ((or tptp.hskp10 _let_609) true _let_170 false _let_575 false _let_164 false _let_574 false tptp.ndr1_0 false _let_166 false _let_168 true tptp.hskp3 true _let_608 true _let_142 true _let_606 false _let_486 true _let_605 false _let_188 true _let_109 false _let_111 false _let_112 true _let_230 false _let_113 true _let_229 false tptp.hskp8 false tptp.ndr1_0 false _let_46 true _let_455 true _let_602 false tptp.hskp20 false tptp.ndr1_0 true _let_176 true _let_462 true _let_601 false _let_600 true _let_256 true _let_190 false _let_369 false _let_65 true _let_193 false _let_474 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 false _let_77 true _let_470 true _let_599 true _let_475 false tptp.hskp14 false tptp.ndr1_0 true _let_469 true _let_538 true _let_196 true _let_360 true _let_598 false _let_532 true _let_181 true _let_205 true _let_36 true _let_38 false _let_40 true _let_597 true _let_596 false _let_41 false _let_584 false tptp.hskp21 false tptp.ndr1_0 false _let_592 true _let_582 true _let_583 true _let_539 true _let_573 true _let_594 true _let_355 true _let_591 true _let_354 true _let_590 true _let_120 false _let_122 false _let_123 false _let_124 false tptp.hskp6 false _let_585 false _let_581 false _let_535 true tptp.hskp16 true _let_72 false _let_580 false _let_533 false _let_531)) :args (tptp.hskp10 false _let_174 true _let_155 false _let_157 false _let_158 false _let_159 false tptp.hskp0 false tptp.ndr1_0 false _let_529 true _let_249 false _let_469 false tptp.ndr1_0 true _let_252 true _let_526 true _let_235 true _let_525 true _let_29 true _let_31 false _let_33 false _let_34 false tptp.hskp23 false tptp.ndr1_0 true _let_259 true _let_176 false _let_161 true _let_178 true _let_177 true _let_180 true _let_260 true _let_181 true _let_171 true _let_579 true _let_576 false _let_170 false _let_578 false _let_575 false _let_574 false tptp.ndr1_0 true tptp.hskp3 true _let_142 false _let_186 false _let_237 false _let_486 false _let_175 false _let_188 true _let_230 true _let_229 true _let_42 false _let_44 false _let_45 false _let_46 false tptp.hskp20 false tptp.ndr1_0 true _let_462 true _let_190 true _let_193 false _let_77 false tptp.hskp14 true _let_573 true _let_355 true _let_354 true _let_120 false _let_122 false _let_123 false _let_124 false tptp.hskp6 false tptp.ndr1_0 true _let_162 true _let_572 true _let_163 true _let_571 true _let_530)) :args (_let_101 false tptp.hskp10)) :args (_let_570 false _let_101)) :args (_let_569 true _let_568)))) (let ((_let_982 (MACRO_RESOLUTION_TRUST _let_874 _let_981 :args ((not _let_474) true _let_369)))) (let ((_let_983 (MACRO_RESOLUTION_TRUST _let_889 _let_804 _let_803 _let_802 _let_801 _let_799 _let_798 _let_269 _let_796 _let_382 _let_378 _let_374 _let_375 _let_376 _let_451 _let_618 _let_785 _let_617 _let_890 _let_619 _let_614 _let_613 _let_873 _let_269 _let_982 _let_565 _let_269 _let_564 _let_563 _let_559 _let_558 _let_556 _let_555 _let_554 _let_552 _let_551 _let_269 _let_328 _let_550 _let_349 _let_546 _let_545 _let_350 _let_541 _let_348 _let_347 _let_346 _let_296 _let_540 :args ((or _let_345 _let_519) false _let_532 true _let_36 true _let_38 false _let_40 false _let_41 false tptp.hskp21 false tptp.ndr1_0 true _let_539 true _let_355 true _let_354 true _let_120 false _let_122 false _let_123 false _let_124 true tptp.hskp16 false tptp.hskp6 true _let_72 false _let_538 false _let_535 false _let_533 false _let_531 false _let_475 false tptp.ndr1_0 true _let_474 false _let_530 false tptp.ndr1_0 true _let_470 true _let_469 true _let_529 false _let_174 true _let_155 false _let_157 false _let_158 false _let_159 false tptp.hskp0 false tptp.ndr1_0 true _let_249 true _let_171 true _let_252 true _let_527 true _let_526 true _let_235 true _let_525 true _let_29 true _let_31 false _let_33 false _let_237 false _let_175)))) (let ((_let_984 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_244 (= X X59)))))) (let ((_let_985 (AND_ELIM _let_264 :args (72)))) (let ((_let_986 (MACRO_RESOLUTION_TRUST _let_378 _let_374 _let_375 _let_376 :args ((or _let_373 _let_377) true _let_120 false _let_122 false _let_123)))) (let ((_let_987 (not _let_1))) (let ((_let_988 (not _let_2))) (let ((_let_989 (not _let_3))) (let ((_let_990 (or _let_989 _let_988 _let_987))) (let ((_let_991 (forall ((X90 $$unsorted)) (or (not (tptp.c1_1 X90)) (not (tptp.c2_1 X90)) (not (tptp.c3_1 X90)))))) (let ((_let_992 (not _let_26))) (let ((_let_993 (not _let_27))) (let ((_let_994 (or _let_24 _let_993 _let_992))) (let ((_let_995 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_996 (or _let_497 _let_495 _let_995))) (let ((_let_997 (not _let_496))) (let ((_let_998 (or _let_495 _let_995 _let_997))) (let ((_let_999 (not _let_498))) (let ((_let_1000 (not _let_469))) (let ((_let_1001 (_let_1000))) (let ((_let_1002 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1001)) :args _let_1001)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1000) _let_469))) (REFL :args ((not _let_473))) :args _let_302)))) (let ((_let_1003 (CNF_OR_NEG :args (_let_473 0)))) (let ((_let_1004 (REFL :args (_let_473)))) (let ((_let_1005 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_473 1)) (CONG _let_1004 (MACRO_SR_PRED_INTRO :args ((= (not _let_472) _let_471))) :args _let_302)) :args ((or _let_471 _let_473))))) (let ((_let_1006 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_473 2)) (CONG _let_1004 (MACRO_SR_PRED_INTRO :args ((= (not _let_466) _let_465))) :args _let_302)) :args ((or _let_465 _let_473))))) (let ((_let_1007 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_871 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X31) false))))) :args _let_869)))) (let ((_let_1008 (REORDERING (CNF_OR_POS :args (_let_476)) :args ((or _let_472 _let_466 _let_463 (not _let_476)))))) (let ((_let_1009 (REORDERING (CNF_OR_POS :args (_let_468)) :args ((or _let_467 _let_466 _let_464 (not _let_468)))))) (let ((_let_1010 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_750 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_749)) :args _let_748)))) (let ((_let_1011 (AND_ELIM _let_264 :args (30)))) (let ((_let_1012 (not _let_4))) (let ((_let_1013 (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_1012))))) (let ((_let_1014 (REORDERING (CNF_AND_POS :args (_let_4 2)) :args ((or _let_2 _let_1012))))) (let ((_let_1015 (not _let_28))) (let ((_let_1016 (_let_609))) (let ((_let_1017 (not _let_215))) (let ((_let_1018 (_let_1017))) (let ((_let_1019 (REFL :args (_let_518)))) (let ((_let_1020 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_500 _let_516 _let_514 (not _let_517)))) (REORDERING (CNF_OR_POS :args (_let_504)) :args ((or _let_502 _let_500 _let_503 (not _let_504)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_518 2)) (CONG _let_1019 (MACRO_SR_PRED_INTRO :args ((= (not _let_516) _let_515))) :args _let_302)) :args ((or _let_515 _let_518))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_518 1)) (CONG _let_1019 (MACRO_SR_PRED_INTRO :args ((= (not _let_500) _let_499))) :args _let_302)) :args ((or _let_499 _let_518))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_518 0)) (CONG _let_1019 (MACRO_SR_PRED_INTRO :args ((= (not _let_502) _let_501))) :args _let_302)) :args ((or _let_501 _let_518))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1018)) :args _let_1018)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1017) _let_215))) (REFL :args ((not _let_518))) :args _let_302)) _let_968 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_933 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_932)) :args _let_931)) _let_971 _let_930 _let_972 _let_929 _let_269 (REORDERING (AND_ELIM _let_264 :args (96)) :args ((or tptp.hskp3 tptp.hskp27 tptp.hskp29))) _let_928 _let_926 _let_922 (MACRO_RESOLUTION_TRUST _let_314 _let_311 _let_427 _let_269 _let_305 _let_682 _let_808 _let_269 _let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_687 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_686)) :args _let_685)) _let_676 (REORDERING (CNF_OR_POS :args (_let_998)) :args ((or _let_495 _let_995 _let_997 (not _let_998)))) _let_672 _let_671 _let_670 (REORDERING (CNF_OR_POS :args (_let_498)) :args ((or _let_497 _let_495 _let_496 _let_999))) _let_668 (CNF_OR_NEG :args (_let_996 2)) (CNF_OR_NEG :args (_let_996 1)) (CNF_OR_NEG :args (_let_996 0)) _let_927 _let_269 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1016)) :args _let_1016)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_609) _let_530))) (REFL :args ((not _let_996))) :args _let_302)) _let_892 _let_619 (MACRO_RESOLUTION_TRUST _let_680 _let_674 _let_733 _let_668 _let_790 _let_927 _let_269 (MACRO_RESOLUTION_TRUST _let_788 _let_914 :args ((or _let_42 _let_227 _let_787 _let_913) false _let_576)) _let_892 _let_915 _let_613 _let_661 _let_617 _let_660 _let_269 _let_618 _let_659 _let_690 _let_658 _let_649 :args ((or tptp.hskp6 tptp.hskp9 _let_42 _let_455 _let_227 _let_519 _let_629) true _let_643 false _let_644 false _let_12 true _let_701 false tptp.hskp28 false tptp.ndr1_0 true _let_784 true _let_163 false _let_579 true _let_530 false _let_171 true _let_531 false _let_639 false tptp.ndr1_0 false _let_72 true tptp.hskp7 false tptp.hskp16 true _let_119 false _let_638)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (tptp.a2342 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)) (REORDERING (CNF_OR_POS :args (_let_994)) :args ((or _let_24 _let_993 _let_992 (not _let_994)))) (REORDERING (CNF_AND_POS :args (_let_28 3)) :args ((or _let_25 _let_1015))) (REORDERING (CNF_AND_POS :args (_let_28 2)) :args ((or _let_26 _let_1015))) (REORDERING (CNF_AND_POS :args (_let_28 1)) :args ((or _let_27 _let_1015))) (AND_ELIM _let_264 :args (25)) (REORDERING (AND_ELIM _let_264 :args (94)) :args ((or tptp.hskp23 tptp.hskp25 _let_797 _let_991))) _let_269 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_509 (= X89 X90)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_933 :args (tptp.a2315 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_932)) :args _let_931)) (REORDERING (CNF_OR_POS :args (_let_990)) :args ((or _let_989 _let_988 _let_987 (not _let_990)))) _let_272 _let_271 (REORDERING (CNF_AND_POS :args (_let_4 3)) :args ((or _let_1 _let_1012))) _let_1014 _let_1013 _let_267 _let_1011 _let_746 _let_269 (AND_ELIM _let_264 :args (60)) _let_269 _let_747 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_190 (= X36 X40)))) _let_1010 _let_1009 _let_1008 _let_1007 _let_1006 _let_1005 _let_1003 _let_873 _let_269 _let_982 _let_1002 _let_564 _let_807 _let_344 _let_983 _let_650 :args ((or tptp.hskp6 tptp.hskp9 _let_469 _let_492 _let_455 _let_519 _let_999) true _let_217 false _let_216 false tptp.ndr1_0 false _let_65 true _let_215 false tptp.hskp17 false tptp.ndr1_0 true _let_646 true _let_591 false _let_185 true _let_998 false _let_9 false _let_10 false _let_11 false _let_496 false _let_12 true _let_995 true _let_495 true _let_497 false tptp.hskp28 false tptp.ndr1_0 true _let_996 true _let_163 true _let_530 true _let_535 true _let_214 true _let_994 true _let_24 false _let_26 false _let_27 false _let_28 false tptp.hskp25 false tptp.ndr1_0 true _let_991 true _let_509 true _let_990 true _let_42 false _let_44 false _let_1 false _let_2 false _let_3 false _let_46 false _let_4 false tptp.hskp20 false tptp.ndr1_0 false tptp.hskp30 false tptp.ndr1_0 true _let_462 true (forall ((X40 $$unsorted)) (or (tptp.c0_1 X40) (not (tptp.c2_1 X40)) (not (tptp.c3_1 X40)))) true _let_190 true _let_468 false _let_463 false _let_476 false _let_465 false _let_471 true _let_467 false _let_475 false tptp.ndr1_0 true _let_474 true _let_473 true _let_470 true _let_599 true tptp.hskp23 true _let_34 false _let_186)) _let_451 _let_986 _let_923 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_382 _let_921 _let_985 _let_269 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_326 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_327)) :args _let_324)) _let_918 _let_984 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_244 (= X X41)))) _let_844 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)) _let_845 _let_269 (REORDERING (CNF_OR_POS :args (_let_490)) :args ((or _let_459 _let_458 _let_489 (not _let_490)))) _let_446 _let_759 _let_444 _let_757 _let_441 _let_342 _let_343 _let_269 _let_344 _let_983 _let_524 _let_523 _let_520 :args ((or _let_259 _let_455 _let_519 _let_459 _let_458 _let_457) false _let_503 false _let_515 false _let_499 false _let_501 true _let_518 true _let_215 false _let_517 true _let_513 false _let_509 false _let_8 false _let_508 false tptp.ndr1_0 false tptp.hskp29 true tptp.hskp27 true _let_17 false _let_507 false _let_469 true tptp.hskp6 true _let_124 true tptp.hskp9 false _let_504 false _let_354 true _let_108 false _let_355 false tptp.ndr1_0 false _let_498 false _let_494 true _let_493 true _let_492 false _let_249 true _let_244 false _let_491 false tptp.ndr1_0 true _let_490 true tptp.hskp2 false _let_487 true _let_149 false _let_488 false _let_430 false _let_181 false _let_260 false tptp.ndr1_0 true tptp.hskp23 true _let_34 true tptp.hskp3 true _let_142 false _let_486)))) (let ((_let_1021 (or _let_134 _let_220 _let_231))) (let ((_let_1022 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_1023 (not _let_1022))) (let ((_let_1024 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_1025 (not _let_1024))) (let ((_let_1026 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_1027 (or _let_1026 _let_1025 _let_1023))) (let ((_let_1028 (tptp.c0_1 tptp.a2315))) (let ((_let_1029 (or _let_1028 _let_989 _let_988))) (let ((_let_1030 (or _let_1026 _let_1023 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))) (let ((_let_1031 (or _let_1026 _let_1024 _let_1023))) (let ((_let_1032 (tptp.c3_1 tptp.a2294))) (let ((_let_1033 (or _let_91 _let_1032 _let_940))) (let ((_let_1034 (or _let_198 _let_207 _let_212))) (let ((_let_1035 (not _let_1032))) (let ((_let_1036 (or _let_93 _let_940 _let_1035))) (let ((_let_1037 (not _let_1028))) (let ((_let_1038 (or _let_1037 _let_989 _let_988))) (let ((_let_1039 (not _let_1029))) (let ((_let_1040 (not _let_1021))) (let ((_let_1041 (not _let_1034))) (let ((_let_1042 (not _let_1038))) (let ((_let_1043 (not _let_1036))) (let ((_let_1044 (_let_194))) (let ((_let_1045 (not _let_1031))) (let ((_let_1046 (not _let_1027))) (let ((_let_1047 (MACRO_RESOLUTION_TRUST _let_1008 _let_1009 _let_1007 _let_1006 _let_1005 _let_1003 _let_873 _let_269 _let_982 _let_1002 _let_564 (MACRO_RESOLUTION_TRUST _let_279 _let_291 _let_269 _let_745 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_289 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_288)) :args _let_287)) _let_267 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1031)) :args ((or _let_1026 _let_1023 _let_1024 _let_1045))) (REORDERING (CNF_OR_POS :args (_let_1027)) :args ((or _let_1026 _let_1023 _let_1025 _let_1046))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1030 1)) (CONG (REFL :args (_let_1030)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1023) _let_1022))) :args _let_302)) :args ((or _let_1022 _let_1030))) (CNF_OR_NEG :args (_let_1030 0)) :args ((or _let_1030 _let_1046 _let_1045) true _let_1024 false _let_1022 true _let_1026)) _let_746 _let_269 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1044)) :args _let_1044)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_194) _let_190))) (REFL :args ((not _let_1030))) :args _let_302)) _let_747 _let_751 _let_756 _let_266 _let_450 _let_402 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1033)) :args ((or _let_91 _let_940 _let_1032 (not _let_1033)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1036)) :args ((or _let_93 _let_940 _let_1035 _let_1043))) _let_954 _let_953 :args ((or _let_952 _let_1035 _let_1043) true _let_93 false _let_95)) _let_955 _let_953 _let_951 (AND_ELIM _let_264 :args (100)) _let_1011 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1029)) :args ((or _let_989 _let_988 _let_1028 _let_1039))) (REORDERING (CNF_OR_POS :args (_let_1038)) :args ((or _let_989 _let_988 _let_1037 _let_1042))) _let_1014 _let_1013 :args ((or _let_1012 _let_1039 _let_1042) true _let_1028 false _let_2 false _let_3)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_416 :args (tptp.a2315 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_415)) :args _let_414)) _let_427 _let_269 _let_314 _let_311 _let_305 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_715 :args (tptp.a2294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_713)) _let_426 _let_301 _let_269 _let_733 _let_421 _let_266 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_679 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_678)) :args _let_677)) _let_413 _let_756 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1034)) :args ((or _let_198 _let_207 _let_212 _let_1041))) _let_413 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_208 2)) (CONG _let_400 (MACRO_SR_PRED_INTRO :args ((= (not _let_207) _let_206))) :args _let_302)) :args ((or _let_206 _let_208))) _let_401 _let_399 :args ((or _let_208 _let_412 _let_1041) false _let_199 false _let_206 false _let_197 true _let_200)) _let_401 _let_399 _let_751 _let_397 _let_747 _let_393 _let_746 _let_269 _let_389 _let_267 _let_388 _let_387 _let_386 _let_745 _let_265 _let_279 (AND_ELIM _let_264 :args (38)) _let_269 _let_291 _let_269 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_233 (= X3 X6)))) _let_290 _let_300 (MACRO_RESOLUTION_TRUST _let_286 (REORDERING (CNF_OR_POS :args (_let_1021)) :args ((or _let_134 _let_231 _let_220 _let_1040))) _let_283 _let_282 :args ((or _let_281 _let_1040 _let_285) true _let_219 true _let_134 false _let_136)) _let_445 _let_280 _let_447 _let_269 (MACRO_RESOLUTION_TRUST _let_422 _let_981 :args ((not _let_370) true _let_369)) _let_446 _let_444 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (tptp.a2294 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) _let_405 _let_441 :args ((or tptp.hskp6 _let_189 _let_461 _let_455 _let_187 _let_1040 _let_1039) true _let_1032 true _let_91 false _let_95 false _let_96 false tptp.hskp11 true tptp.hskp30 true _let_4 false _let_1038 false _let_215 false tptp.ndr1_0 true _let_216 true _let_217 false _let_65 false _let_1036 true _let_214 false tptp.hskp17 false tptp.ndr1_0 false _let_701 true _let_213 true tptp.hskp14 true _let_644 false _let_199 true _let_77 true _let_1034 false _let_197 true _let_200 false _let_193 true _let_208 false _let_190 true _let_205 false _let_462 false tptp.ndr1_0 true _let_204 true tptp.hskp20 true _let_150 false _let_152 false _let_153 true _let_46 false _let_154 false _let_229 false tptp.hskp1 false tptp.ndr1_0 false _let_230 false tptp.ndr1_0 true (forall ((X6 $$unsorted)) (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c2_1 X6)))) true _let_233 true _let_239 true _let_232 true _let_238 false _let_137 false tptp.hskp4 false tptp.ndr1_0 true _let_370 true tptp.hskp2 true _let_149 false _let_1033 false _let_201 false _let_430)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_562 :args (tptp.a2315 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X14) false))))) :args _let_560)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_562 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_560)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_562 :args (tptp.a2282 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_561)) :args _let_560)) :args ((or tptp.hskp6 _let_189 _let_461 _let_455 _let_1000) false _let_230 false tptp.ndr1_0 true _let_229 true _let_233 false _let_46 true _let_1031 false tptp.hskp20 false tptp.ndr1_0 true _let_1030 true _let_462 true _let_190 true _let_193 false _let_77 false tptp.hskp14 true _let_196 true _let_181 false _let_1029 false _let_1027 false _let_1021)) _let_451 _let_449 _let_266 _let_756 _let_1010 _let_751 _let_747 _let_746 _let_269 _let_267 (MACRO_RESOLUTION_TRUST _let_891 _let_613 _let_909 _let_617 _let_901 _let_618 _let_291 _let_269 _let_744 _let_790 _let_279 _let_789 _let_745 _let_292 _let_1020 _let_341 _let_483 _let_481 _let_482 _let_480 _let_477 :args ((or _let_176 _let_263) true _let_530 false _let_571 true _let_531 false _let_898 false _let_72 false _let_233 false tptp.ndr1_0 false tptp.hskp16 true _let_701 true _let_230 true _let_784 true _let_229 true _let_189 true _let_188 true _let_259 false _let_456 true _let_459 true _let_458 true _let_460 true _let_455)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_188 (= Z X7)))) _let_292 _let_1020 _let_483 _let_482 _let_481 _let_480 _let_477 _let_341 :args (_let_176 true _let_463 false _let_476 false _let_465 false _let_471 true _let_467 false _let_475 false tptp.ndr1_0 true _let_474 true _let_473 true _let_470 true _let_469 true tptp.hskp6 true _let_124 true tptp.hskp14 true _let_77 false _let_468 false _let_193 false _let_190 false _let_462 false tptp.ndr1_0 true tptp.hskp20 true _let_46 true _let_461 true _let_189 true _let_188 false _let_456 true _let_458 true _let_459 true _let_460 true _let_455 true _let_259)))) (let ((_let_1048 (MACRO_RESOLUTION_TRUST _let_764 (MACRO_RESOLUTION_TRUST _let_763 (MACRO_RESOLUTION_TRUST _let_760 _let_1047 :args (_let_453 false _let_176)) :args (_let_454 false _let_453)) :args (_let_90 true _let_89)))) (let ((_let_1049 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1050 (not _let_1049))) (let ((_let_1051 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1052 (not _let_1051))) (let ((_let_1053 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1054 (not _let_1053))) (let ((_let_1055 (or _let_1054 _let_1052 _let_1050))) (let ((_let_1056 (not _let_1055))) (let ((_let_1057 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1058 (or _let_1051 _let_1057 _let_1054))) (let ((_let_1059 (or _let_1057 _let_1054 _let_1050))) (let ((_let_1060 (not _let_1059))) (let ((_let_1061 (_let_569))) (let ((_let_1062 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1061)) :args _let_1061)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_569) _let_369))) (REFL :args (_let_1060)) :args _let_302)) _let_981 :args (_let_1060 true _let_369)))) (let ((_let_1063 (REFL :args (_let_1059)))) (let ((_let_1064 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1059 1)) (CONG _let_1063 (MACRO_SR_PRED_INTRO :args ((= (not _let_1054) _let_1053))) :args _let_302)) :args ((or _let_1053 _let_1059))) _let_1062 :args (_let_1053 true _let_1059)))) (let ((_let_1065 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_416 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_415)) :args _let_414)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1055)) :args ((or _let_1054 _let_1050 _let_1052 _let_1056))) _let_1064 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1059 2)) (CONG _let_1063 (MACRO_SR_PRED_INTRO :args ((= (not _let_1050) _let_1049))) :args _let_302)) :args ((or _let_1049 _let_1059))) _let_1062 :args (_let_1049 true _let_1059)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1058)) :args ((or _let_1057 _let_1054 _let_1051 (not _let_1058)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_1059 0)) _let_1062 :args ((not _let_1057) true _let_1059)) _let_1064 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_335 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_791)) :args _let_333)) _let_1047 :args (_let_1058 false _let_176)) :args (_let_1051 true _let_1057 false _let_1053 false _let_1058)) :args (_let_1056 false _let_1053 false _let_1049 false _let_1051)) :args (_let_1017 true _let_1055)))) (let ((_let_1066 (MACRO_RESOLUTION_TRUST _let_751 (MACRO_RESOLUTION_TRUST _let_756 (MACRO_RESOLUTION_TRUST _let_266 (MACRO_RESOLUTION_TRUST _let_314 _let_311 _let_427 _let_269 _let_1065 _let_305 _let_426 _let_772 _let_269 _let_421 _let_769 _let_413 _let_768 _let_401 _let_399 _let_766 _let_397 _let_556 _let_555 _let_554 _let_393 _let_552 _let_389 _let_405 _let_765 _let_1048 _let_388 _let_387 _let_386 _let_402 _let_451 _let_265 _let_450 _let_449 _let_351 :args (tptp.hskp14 true _let_217 false _let_216 false tptp.ndr1_0 true _let_215 false _let_65 true _let_214 false tptp.hskp17 false tptp.ndr1_0 true _let_213 true _let_211 false _let_199 true _let_210 false _let_197 true _let_200 true _let_209 true _let_208 true _let_155 false _let_157 false _let_158 true _let_205 false _let_159 true _let_204 false _let_201 false tptp.hskp0 true tptp.hskp12 true _let_150 false _let_152 false _let_153 false _let_181 true tptp.hskp6 false _let_154 false _let_196 true _let_124 false tptp.hskp1)) :args (_let_77 false tptp.hskp14)) :args (_let_195 false _let_77)) :args (_let_194 true _let_193)))) (let ((_let_1067 (MACRO_RESOLUTION_TRUST _let_292 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_279 _let_745 _let_291 _let_269 _let_267 _let_780 _let_746 _let_269 _let_910 _let_1047 _let_747 _let_773 :args ((or _let_189 _let_190) true _let_229 false _let_230 false tptp.ndr1_0 false _let_46 true _let_233 false tptp.hskp20 false tptp.ndr1_0 true _let_625 false _let_176 true _let_462 true _let_623)) _let_1066 :args (_let_189 true _let_190)) :args (_let_188 false _let_189)))) (let ((_let_1068 (or _let_42 _let_577 _let_228))) (let ((_let_1069 (MACRO_RESOLUTION_TRUST _let_267 (MACRO_RESOLUTION_TRUST _let_746 _let_269 (MACRO_RESOLUTION_TRUST _let_747 _let_1066 :args ((not _let_462) true _let_190)) :args (tptp.hskp20 false tptp.ndr1_0 true _let_462)) :args (_let_46 false tptp.hskp20)))) (let ((_let_1070 (MACRO_RESOLUTION_TRUST _let_272 _let_1069 :args (_let_43 false _let_46)))) (let ((_let_1071 (MACRO_RESOLUTION_TRUST _let_915 (MACRO_RESOLUTION_TRUST _let_914 _let_1070 (MACRO_RESOLUTION_TRUST _let_271 _let_1069 :args (_let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1068)) :args ((or _let_42 _let_228 _let_577 (not _let_1068)))) _let_1070 (MACRO_RESOLUTION_TRUST _let_270 _let_1069 :args (_let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_827 :args (tptp.a2323 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_826)) :args _let_825)) (MACRO_RESOLUTION_TRUST _let_911 _let_1048 _let_269 (MACRO_RESOLUTION_TRUST _let_912 _let_981 :args ((not _let_900) true _let_369)) :args (_let_606 true tptp.hskp12 false tptp.ndr1_0 true _let_900)) :args (_let_1068 false _let_606)) :args (_let_577 true _let_42 false _let_45 false _let_1068)) :args (_let_913 true _let_42 false _let_44 true _let_576)) :args ((not _let_171) true _let_579)))) (let ((_let_1072 (MACRO_RESOLUTION_TRUST _let_540 _let_1067 :args (_let_175 false _let_188)))) (let ((_let_1073 (or _let_116 _let_114 _let_636))) (let ((_let_1074 (or _let_116 _let_534 _let_637))) (let ((_let_1075 (MACRO_RESOLUTION_TRUST _let_451 (MACRO_RESOLUTION_TRUST _let_966 _let_967 _let_965 (MACRO_RESOLUTION_TRUST _let_949 _let_1047 :args (_let_939 false _let_176)) _let_427 _let_269 _let_1065 _let_964 _let_963 _let_962 _let_314 _let_961 _let_311 _let_958 _let_305 _let_956 _let_808 _let_269 _let_955 _let_954 _let_953 _let_886 _let_951 (MACRO_RESOLUTION_TRUST _let_872 _let_868 _let_873 _let_269 _let_867 _let_874 _let_866 _let_865 _let_980 _let_863 _let_979 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_275 :args (tptp.a2286 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_274)) :args _let_273)) _let_978 _let_977 _let_976 (REORDERING (CNF_OR_POS :args (_let_1074)) :args ((or _let_116 _let_637 _let_534 (not _let_1074)))) _let_974 (REORDERING (CNF_OR_POS :args (_let_1073)) :args ((or _let_116 _let_114 _let_636 (not _let_1073)))) _let_895 _let_269 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (tptp.a2286 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)) _let_893 _let_565 _let_269 _let_564 :args ((or tptp.hskp6 _let_116 _let_114 _let_530 _let_469 _let_637 _let_858) true _let_849 false _let_475 false tptp.ndr1_0 false _let_589 true _let_474 false _let_586 true _let_588 true _let_369 true _let_847 true _let_568 true _let_218 true _let_97 false _let_99 false _let_100 true _let_1074 false _let_101 true _let_534 false tptp.hskp10 false tptp.ndr1_0 false _let_1073 true _let_572 false _let_526 false tptp.ndr1_0 true _let_470)) _let_807 _let_950 _let_269 _let_1048 _let_563 _let_894 _let_559 _let_619 _let_558 _let_1072 _let_658 (MACRO_RESOLUTION_TRUST _let_649 _let_1067 :args (_let_638 false _let_188)) _let_655 _let_654 _let_653 _let_556 _let_555 _let_554 _let_659 _let_552 _let_660 _let_269 (MACRO_RESOLUTION_TRUST _let_661 _let_1071 :args ((not _let_639) true _let_171)) _let_765 _let_1048 :args (tptp.hskp6 false _let_946 false _let_937 false _let_939 false _let_214 false tptp.ndr1_0 true _let_215 false _let_935 true _let_943 true _let_938 true _let_216 true _let_944 true _let_217 true _let_942 false _let_65 true _let_941 false tptp.hskp17 false tptp.ndr1_0 true _let_91 true _let_93 false _let_95 true _let_591 false _let_96 true _let_590 true _let_599 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp12 true _let_469 true _let_162 true _let_529 true _let_530 false _let_174 false _let_175 true _let_535 false _let_638 true _let_114 true _let_116 false _let_118 true _let_155 false _let_157 false _let_158 false _let_119 false _let_159 false tptp.hskp7 false tptp.ndr1_0 true _let_639 false tptp.hskp0 true tptp.hskp12)) :args (_let_124 false tptp.hskp6)))) (let ((_let_1076 (or _let_129 _let_896 _let_125))) (let ((_let_1077 (not _let_1076))) (let ((_let_1078 (or _let_127 _let_125 _let_897))) (let ((_let_1079 (MACRO_RESOLUTION_TRUST _let_382 (MACRO_RESOLUTION_TRUST _let_986 _let_1075 :args (_let_377 false _let_124)) :args (_let_383 true _let_354)))) (let ((_let_1080 (forall ((X8 $$unsorted)) (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c3_1 X8)))))) (let ((_let_1081 (MACRO_RESOLUTION_TRUST _let_904 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_264 :args (39)) _let_269 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_171 (= V X8)))) _let_1071 :args ((not _let_1080) true _let_171)) _let_981 :args (tptp.hskp5 false tptp.ndr1_0 true _let_1080 true _let_369)) :args (_let_131 false tptp.hskp5)))) (let ((_let_1082 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_131 3)) :args ((or _let_126 _let_905))) _let_1081 :args (_let_126 false _let_131)))) (let ((_let_1083 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_612 :args (tptp.a2284 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_611)) :args _let_610)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1076)) :args ((or _let_129 _let_125 _let_896 _let_1077))) (MACRO_RESOLUTION_TRUST _let_906 _let_1081 :args (_let_130 false _let_131)) _let_1082 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1078)) :args ((or _let_127 _let_125 _let_897 (not _let_1078)))) (MACRO_RESOLUTION_TRUST _let_907 _let_1081 :args (_let_128 false _let_131)) _let_1082 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (tptp.a2284 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)) (MACRO_RESOLUTION_TRUST _let_984 (MACRO_RESOLUTION_TRUST _let_985 (MACRO_RESOLUTION_TRUST _let_344 (MACRO_RESOLUTION_TRUST _let_983 _let_1067 :args (_let_345 false _let_188)) :args (_let_35 true _let_34)) _let_269 _let_1079 :args (_let_493 true tptp.hskp23 false tptp.ndr1_0 true _let_355)) :args (_let_244 false _let_493)) :args (_let_1078 false _let_244)) :args (_let_897 true _let_127 true _let_125 false _let_1078)) :args (_let_1077 true _let_129 true _let_125 true _let_896)) :args (_let_609 true _let_1076)))) (let ((_let_1084 (MACRO_RESOLUTION_TRUST _let_892 _let_1083 :args ((not _let_163) true _let_530)))) (let ((_let_1085 (MACRO_RESOLUTION_TRUST _let_524 (MACRO_RESOLUTION_TRUST _let_523 (MACRO_RESOLUTION_TRUST _let_520 _let_1067 :args (_let_486 false _let_188)) :args (_let_522 false _let_486)) :args (_let_143 true _let_142)))) (let ((_let_1086 (MACRO_RESOLUTION_TRUST _let_435 (MACRO_RESOLUTION_TRUST _let_934 _let_1085 (MACRO_RESOLUTION_TRUST _let_374 _let_1075 :args (_let_121 false _let_124)) _let_1084 (MACRO_RESOLUTION_TRUST _let_376 _let_1075 :args (_let_123 false _let_124)) (MACRO_RESOLUTION_TRUST _let_375 _let_1075 :args (_let_122 false _let_124)) (MACRO_RESOLUTION_TRUST _let_650 _let_1067 :args (_let_186 false _let_188)) :args (_let_187 true tptp.hskp3 true _let_120 true _let_163 false _let_123 false _let_122 false _let_186)) :args (_let_182 true _let_181)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_973 (MACRO_RESOLUTION_TRUST _let_437 _let_1086 :args ((not _let_178) true _let_180)) (MACRO_RESOLUTION_TRUST _let_436 _let_1086 :args ((not _let_177) true _let_180)) _let_1047 _let_1072 _let_1071 (MACRO_RESOLUTION_TRUST _let_842 (MACRO_RESOLUTION_TRUST _let_884 (MACRO_RESOLUTION_TRUST _let_885 _let_1085 _let_269 (MACRO_RESOLUTION_TRUST _let_859 _let_1079 :args ((not _let_573) true _let_355)) :args (_let_574 true tptp.hskp3 false tptp.ndr1_0 true _let_573)) :args (_let_575 false _let_574)) :args (_let_170 false _let_575)) _let_1084 (MACRO_RESOLUTION_TRUST _let_894 _let_1083 :args ((not _let_162) true _let_530)) (MACRO_RESOLUTION_TRUST _let_438 _let_1086 :args (_let_161 true _let_180)) :args (false true _let_178 true _let_177 false _let_176 false _let_175 true _let_171 false _let_170 true _let_163 true _let_162 false _let_161)) :args (_let_160 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.77  )
% 0.59/0.77  % SZS output end Proof for SYN487+1
% 0.59/0.77  % cvc5---1.0.5 exiting
% 0.59/0.77  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------