TSTP Solution File: SYN455+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN455+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 02:03:20 EDT 2023
% Result : Theorem 0.53s 0.75s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN455+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n023.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 20:04:26 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.75 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wFA3bO12IQ/cvc5---1.0.5_14742.p...
% 0.53/0.75 ------- get file name : TPTP file name is SYN455+1
% 0.53/0.75 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14742.smt2...
% 0.53/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.75 % SZS status Theorem for SYN455+1
% 0.53/0.75 % SZS output start Proof for SYN455+1
% 0.53/0.75 (
% 0.53/0.75 (let ((_let_1 (tptp.c2_1 tptp.a942))) (let ((_let_2 (tptp.c1_1 tptp.a942))) (let ((_let_3 (tptp.c0_1 tptp.a942))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a916))) (let ((_let_6 (tptp.c1_1 tptp.a916))) (let ((_let_7 (tptp.c0_1 tptp.a916))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a900))) (let ((_let_10 (tptp.c2_1 tptp.a900))) (let ((_let_11 (tptp.c1_1 tptp.a900))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c1_1 tptp.a960))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c3_1 tptp.a960))) (let ((_let_16 (tptp.c0_1 tptp.a960))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_15 _let_14))) (let ((_let_18 (tptp.c2_1 tptp.a959))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a959))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c0_1 tptp.a959))) (let ((_let_23 (not _let_22))) (let ((_let_24 (and tptp.ndr1_0 _let_23 _let_21 _let_19))) (let ((_let_25 (tptp.c0_1 tptp.a954))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c3_1 tptp.a954))) (let ((_let_28 (tptp.c1_1 tptp.a954))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_26))) (let ((_let_30 (tptp.c3_1 tptp.a946))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c2_1 tptp.a946))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c0_1 tptp.a946))) (let ((_let_35 (not _let_34))) (let ((_let_36 (and tptp.ndr1_0 _let_35 _let_33 _let_31))) (let ((_let_37 (tptp.c3_1 tptp.a939))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c1_1 tptp.a939))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c0_1 tptp.a939))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_38))) (let ((_let_43 (not tptp.hskp20))) (let ((_let_44 (tptp.c0_1 tptp.a938))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c3_1 tptp.a938))) (let ((_let_47 (tptp.c2_1 tptp.a938))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_45))) (let ((_let_49 (tptp.c2_1 tptp.a937))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c0_1 tptp.a937))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.c1_1 tptp.a937))) (let ((_let_54 (and tptp.ndr1_0 _let_53 _let_52 _let_50))) (let ((_let_55 (tptp.c3_1 tptp.a936))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c2_1 tptp.a936))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.c1_1 tptp.a936))) (let ((_let_60 (not _let_59))) (let ((_let_61 (and tptp.ndr1_0 _let_60 _let_58 _let_56))) (let ((_let_62 (tptp.c3_1 tptp.a926))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c2_1 tptp.a926))) (let ((_let_65 (tptp.c1_1 tptp.a926))) (let ((_let_66 (and tptp.ndr1_0 _let_65 _let_64 _let_63))) (let ((_let_67 (tptp.c1_1 tptp.a924))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c0_1 tptp.a924))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.c2_1 tptp.a924))) (let ((_let_72 (and tptp.ndr1_0 _let_71 _let_70 _let_68))) (let ((_let_73 (tptp.c1_1 tptp.a923))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c0_1 tptp.a923))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c3_1 tptp.a923))) (let ((_let_78 (and tptp.ndr1_0 _let_77 _let_76 _let_74))) (let ((_let_79 (tptp.c3_1 tptp.a921))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.c0_1 tptp.a921))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c2_1 tptp.a921))) (let ((_let_84 (and tptp.ndr1_0 _let_83 _let_82 _let_80))) (let ((_let_85 (tptp.c2_1 tptp.a917))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c3_1 tptp.a917))) (let ((_let_88 (tptp.c1_1 tptp.a917))) (let ((_let_89 (and tptp.ndr1_0 _let_88 _let_87 _let_86))) (let ((_let_90 (not tptp.hskp12))) (let ((_let_91 (tptp.c2_1 tptp.a914))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c3_1 tptp.a914))) (let ((_let_94 (tptp.c0_1 tptp.a914))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_93 _let_92))) (let ((_let_96 (tptp.c0_1 tptp.a912))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c2_1 tptp.a912))) (let ((_let_99 (tptp.c1_1 tptp.a912))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_98 _let_97))) (let ((_let_101 (tptp.c3_1 tptp.a910))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c1_1 tptp.a910))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c2_1 tptp.a910))) (let ((_let_106 (and tptp.ndr1_0 _let_105 _let_104 _let_102))) (let ((_let_107 (tptp.c3_1 tptp.a909))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.c0_1 tptp.a909))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c1_1 tptp.a909))) (let ((_let_112 (and tptp.ndr1_0 _let_111 _let_110 _let_108))) (let ((_let_113 (tptp.c3_1 tptp.a908))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.c2_1 tptp.a908))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c1_1 tptp.a908))) (let ((_let_118 (and tptp.ndr1_0 _let_117 _let_116 _let_114))) (let ((_let_119 (tptp.c2_1 tptp.a907))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.c1_1 tptp.a907))) (let ((_let_122 (tptp.c0_1 tptp.a907))) (let ((_let_123 (and tptp.ndr1_0 _let_122 _let_121 _let_120))) (let ((_let_124 (tptp.c3_1 tptp.a906))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.c2_1 tptp.a906))) (let ((_let_127 (tptp.c0_1 tptp.a906))) (let ((_let_128 (and tptp.ndr1_0 _let_127 _let_126 _let_125))) (let ((_let_129 (not tptp.hskp5))) (let ((_let_130 (tptp.c2_1 tptp.a905))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.c0_1 tptp.a905))) (let ((_let_133 (not _let_132))) (let ((_let_134 (tptp.c3_1 tptp.a905))) (let ((_let_135 (and tptp.ndr1_0 _let_134 _let_133 _let_131))) (let ((_let_136 (tptp.c2_1 tptp.a904))) (let ((_let_137 (not _let_136))) (let ((_let_138 (tptp.c1_1 tptp.a904))) (let ((_let_139 (not _let_138))) (let ((_let_140 (tptp.c0_1 tptp.a904))) (let ((_let_141 (and tptp.ndr1_0 _let_140 _let_139 _let_137))) (let ((_let_142 (tptp.c3_1 tptp.a903))) (let ((_let_143 (not _let_142))) (let ((_let_144 (tptp.c2_1 tptp.a903))) (let ((_let_145 (not _let_144))) (let ((_let_146 (tptp.c0_1 tptp.a903))) (let ((_let_147 (and tptp.ndr1_0 _let_146 _let_145 _let_143))) (let ((_let_148 (tptp.c1_1 tptp.a902))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.c2_1 tptp.a902))) (let ((_let_151 (tptp.c0_1 tptp.a902))) (let ((_let_152 (and tptp.ndr1_0 _let_151 _let_150 _let_149))) (let ((_let_153 (tptp.c3_1 tptp.a901))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.c1_1 tptp.a901))) (let ((_let_156 (not _let_155))) (let ((_let_157 (tptp.c0_1 tptp.a901))) (let ((_let_158 (not _let_157))) (let ((_let_159 (and tptp.ndr1_0 _let_158 _let_156 _let_154))) (let ((_let_160 (not (not (and (or (not tptp.hskp0) _let_159) (or (not tptp.hskp1) _let_152) (or (not tptp.hskp2) _let_147) (or (not tptp.hskp3) _let_141) (or (not tptp.hskp4) _let_135) (or _let_129 _let_128) (or (not tptp.hskp6) _let_123) (or (not tptp.hskp7) _let_118) (or (not tptp.hskp8) _let_112) (or (not tptp.hskp9) _let_106) (or (not tptp.hskp10) _let_100) (or (not tptp.hskp11) _let_95) (or _let_90 _let_89) (or (not tptp.hskp13) _let_84) (or (not tptp.hskp14) _let_78) (or (not tptp.hskp15) _let_72) (or (not tptp.hskp16) _let_66) (or (not tptp.hskp17) _let_61) (or (not tptp.hskp18) _let_54) (or (not tptp.hskp19) _let_48) (or _let_43 _let_42) (or (not tptp.hskp21) _let_36) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c2_1 tptp.a949) (tptp.c3_1 tptp.a949) (not (tptp.c1_1 tptp.a949)))) (or (not tptp.hskp23) _let_29) (or (not tptp.hskp24) _let_24) (or (not tptp.hskp25) _let_17) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a979) (tptp.c1_1 tptp.a979) (not (tptp.c3_1 tptp.a979)))) (or (not tptp.hskp27) _let_12) (or (not tptp.hskp28) _let_8) (or (not tptp.hskp29) (and tptp.ndr1_0 (tptp.c0_1 tptp.a933) (tptp.c2_1 tptp.a933) (tptp.c3_1 tptp.a933))) (or (not tptp.hskp30) _let_4) (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.c2_1 V) (not (tptp.c3_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c3_1 Y) (not (tptp.c2_1 Y))))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Z) (tptp.c3_1 Z) (not (tptp.c0_1 Z)))))) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (not (tptp.c1_1 X2)) (not (tptp.c3_1 X2))))) tptp.hskp27) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c2_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X4) (not (tptp.c0_1 X4)) (not (tptp.c3_1 X4))))) tptp.hskp0) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c2_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c2_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c2_1 X7)))))) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c2_1 X8)))) tptp.hskp1 tptp.hskp2) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (tptp.c3_1 X9)))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c2_1 X10) (tptp.c3_1 X10)))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X11) (tptp.c3_1 X11) (not (tptp.c0_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X14) (tptp.c3_1 X14) (not (tptp.c0_1 X14)))))) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp3 tptp.hskp4) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X17)) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17))))) tptp.hskp5) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18))))) tptp.hskp6 tptp.hskp7) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19)))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (not (tptp.c1_1 X20)) (not (tptp.c3_1 X20))))) tptp.hskp8) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (tptp.c3_1 X21)))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X22) (tptp.c2_1 X22) (not (tptp.c0_1 X22))))) tptp.hskp9) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (tptp.c3_1 X23)))) tptp.hskp27 tptp.hskp10) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24))))) tptp.hskp6 tptp.hskp11) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c3_1 X25) (not (tptp.c2_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (not (tptp.c2_1 X26)) (not (tptp.c3_1 X26))))) tptp.hskp5) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c3_1 X27) (not (tptp.c2_1 X27))))) tptp.hskp28 tptp.hskp12) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c3_1 X28) (not (tptp.c2_1 X28))))) tptp.hskp2 tptp.hskp0) (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.c1_1 X30) (tptp.c3_1 X30) (not (tptp.c2_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c3_1 X31)))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c2_1 X32))))) tptp.hskp3 tptp.hskp13) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (not (tptp.c1_1 X33)) (not (tptp.c2_1 X33))))) tptp.hskp7 tptp.hskp14) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c2_1 X34)) (not (tptp.c3_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X35)) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35))))) tptp.hskp15) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36))))) tptp.hskp28 tptp.hskp16) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (not (tptp.c2_1 X37)) (not (tptp.c3_1 X37))))) tptp.hskp7 tptp.hskp13) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (tptp.c2_1 X38) (tptp.c3_1 X38)))) tptp.hskp11 tptp.hskp27) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c2_1 X39) (tptp.c3_1 X39)))) tptp.hskp27 tptp.hskp9) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (tptp.c2_1 X40) (not (tptp.c0_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (not (tptp.c0_1 X41)) (not (tptp.c3_1 X41))))) tptp.hskp29) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X42) (tptp.c2_1 X42) (not (tptp.c0_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X43)) (not (tptp.c1_1 X43)) (not (tptp.c3_1 X43))))) tptp.hskp15) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (tptp.c2_1 X44) (not (tptp.c0_1 X44))))) tptp.hskp12 tptp.hskp17) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X45) (tptp.c2_1 X45) (not (tptp.c0_1 X45))))) tptp.hskp18 tptp.hskp19) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X46) (tptp.c2_1 X46) (not (tptp.c3_1 X46))))) tptp.hskp20 tptp.hskp18) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X47) (tptp.c3_1 X47) (not (tptp.c0_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X48)) (not (tptp.c2_1 X48)) (not (tptp.c3_1 X48))))) tptp.hskp9) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X49) (tptp.c3_1 X49) (not (tptp.c0_1 X49))))) tptp.hskp30 tptp.hskp7) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (not (tptp.c0_1 X50)) (not (tptp.c2_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (tptp.c3_1 X51) (not (tptp.c1_1 X51))))) tptp.hskp27) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c1_1 X53))))) tptp.hskp0) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c3_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (tptp.c3_1 X55) (not (tptp.c1_1 X55))))) tptp.hskp21) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c3_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X57)) (not (tptp.c1_1 X57)) (not (tptp.c3_1 X57))))) tptp.hskp1) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c3_1 X58))))) tptp.hskp28) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X59) (tptp.c3_1 X59) (not (tptp.c0_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X60) (not (tptp.c1_1 X60)) (not (tptp.c3_1 X60))))) tptp.hskp22) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X61) (tptp.c3_1 X61) (not (tptp.c0_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X62) (not (tptp.c0_1 X62)) (not (tptp.c1_1 X62))))) tptp.hskp0) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X63) (tptp.c3_1 X63) (not (tptp.c0_1 X63))))) tptp.hskp6 tptp.hskp14) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X64) (tptp.c3_1 X64) (not (tptp.c0_1 X64))))) tptp.hskp1 tptp.hskp23) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X65) (tptp.c3_1 X65) (not (tptp.c1_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66)))))) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X67) (tptp.c3_1 X67) (not (tptp.c1_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c2_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X69)) (not (tptp.c1_1 X69)) (not (tptp.c3_1 X69)))))) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c1_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71))))) tptp.hskp16) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c1_1 X72))))) tptp.hskp30 tptp.hskp9) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c1_1 X73))))) tptp.hskp30 tptp.hskp24) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (not (tptp.c0_1 X74)) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c1_1 X75))))) tptp.hskp25) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp1 tptp.hskp10) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c3_1 X77))))) tptp.hskp5 tptp.hskp7) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (not (tptp.c1_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp25 tptp.hskp21) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (not (tptp.c1_1 X79)) (not (tptp.c3_1 X79))))) tptp.hskp10 tptp.hskp21) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c1_1 X80))))) tptp.hskp27 tptp.hskp13) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c0_1 X81)) (not (tptp.c2_1 X81))))) tptp.hskp30 tptp.hskp17) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X82) (not (tptp.c1_1 X82)) (not (tptp.c2_1 X82))))) tptp.hskp20 tptp.hskp8) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83)) (not (tptp.c3_1 X83))))) tptp.hskp23 tptp.hskp15) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84)) (not (tptp.c3_1 X84))))) tptp.hskp11 tptp.hskp12) (or tptp.hskp26 tptp.hskp5 tptp.hskp21) (or tptp.hskp20 tptp.hskp14 tptp.hskp4) (or tptp.hskp12 tptp.hskp13 tptp.hskp21)))))) (let ((_let_161 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_162 (forall ((W $$unsorted)) (or (not (tptp.c0_1 W)) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)))))) (let ((_let_163 (or _let_22 _let_20 _let_18))) (let ((_let_164 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_165 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_166 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_167 (or _let_166 _let_165 _let_164))) (let ((_let_168 (tptp.c0_1 tptp.a936))) (let ((_let_169 (or _let_168 _let_59 _let_57))) (let ((_let_170 (not _let_5))) (let ((_let_171 (not _let_6))) (let ((_let_172 (not _let_7))) (let ((_let_173 (or _let_172 _let_171 _let_170))) (let ((_let_174 (forall ((X58 $$unsorted)) (or (tptp.c1_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c3_1 X58)))))) (let ((_let_175 (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c3_1 X27) (not (tptp.c2_1 X27)))))) (let ((_let_176 (forall ((X41 $$unsorted)) (or (tptp.c1_1 X41) (not (tptp.c0_1 X41)) (not (tptp.c3_1 X41)))))) (let ((_let_177 (forall ((Y $$unsorted)) (or (tptp.c0_1 Y) (tptp.c3_1 Y) (not (tptp.c2_1 Y)))))) (let ((_let_178 (not _let_93))) (let ((_let_179 (not _let_94))) (let ((_let_180 (tptp.c1_1 tptp.a914))) (let ((_let_181 (or _let_180 _let_179 _let_178))) (let ((_let_182 (not _let_83))) (let ((_let_183 (or _let_81 _let_79 _let_182))) (let ((_let_184 (or _let_34 _let_32 _let_30))) (let ((_let_185 (forall ((X10 $$unsorted)) (or (tptp.c0_1 X10) (tptp.c2_1 X10) (tptp.c3_1 X10))))) (let ((_let_186 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_187 (or _let_166 _let_164 _let_186))) (let ((_let_188 (not _let_165))) (let ((_let_189 (or _let_166 _let_186 _let_188))) (let ((_let_190 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24)))))) (let ((_let_191 (not _let_121))) (let ((_let_192 (not _let_122))) (let ((_let_193 (or _let_119 _let_192 _let_191))) (let ((_let_194 (forall ((X53 $$unsorted)) (or (tptp.c2_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c1_1 X53)))))) (let ((_let_195 (forall ((X73 $$unsorted)) (or (tptp.c2_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c1_1 X73)))))) (let ((_let_196 (not _let_161))) (let ((_let_197 (_let_161))) (let ((_let_198 ((not (= (tptp.c0_1 U) true))))) (let ((_let_199 (ASSUME :args _let_197))) (let ((_let_200 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)))) (let ((_let_201 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a936 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_197)))) (let ((_let_202 (not _let_163))) (let ((_let_203 (not _let_24))) (let ((_let_204 (EQ_RESOLVE (ASSUME :args (_let_160)) (MACRO_SR_EQ_INTRO :args (_let_160 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_205 (forall ((X69 $$unsorted)) (or (not (tptp.c0_1 X69)) (not (tptp.c1_1 X69)) (not (tptp.c3_1 X69)))))) (let ((_let_206 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_207 (not _let_206))) (let ((_let_208 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_209 (not _let_208))) (let ((_let_210 (or (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) _let_209 _let_207))) (let ((_let_211 (forall ((X67 $$unsorted)) (or (tptp.c2_1 X67) (tptp.c3_1 X67) (not (tptp.c1_1 X67)))))) (let ((_let_212 (forall ((X68 $$unsorted)) (or (tptp.c3_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c2_1 X68)))))) (let ((_let_213 (forall ((X6 $$unsorted)) (or (tptp.c3_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c2_1 X6)))))) (let ((_let_214 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_215 (or _let_214 _let_209 _let_207))) (let ((_let_216 (not _let_126))) (let ((_let_217 (not _let_127))) (let ((_let_218 (or _let_124 _let_217 _let_216))) (let ((_let_219 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_220 (not _let_219))) (let ((_let_221 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_222 (not _let_221))) (let ((_let_223 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_224 (or _let_223 _let_222 _let_220))) (let ((_let_225 (not _let_214))) (let ((_let_226 (or _let_209 _let_225 _let_207))) (let ((_let_227 (forall ((X17 $$unsorted)) (or (not (tptp.c1_1 X17)) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)))))) (let ((_let_228 (forall ((X71 $$unsorted)) (or (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71)))))) (let ((_let_229 (forall ((X84 $$unsorted)) (or (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84)) (not (tptp.c3_1 X84)))))) (let ((_let_230 (forall ((X70 $$unsorted)) (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c1_1 X70)))))) (let ((_let_231 (not _let_64))) (let ((_let_232 (not _let_65))) (let ((_let_233 (or _let_62 _let_232 _let_231))) (let ((_let_234 (not _let_180))) (let ((_let_235 (or _let_91 _let_234 _let_178))) (let ((_let_236 (forall ((X7 $$unsorted)) (or (tptp.c3_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c2_1 X7)))))) (let ((_let_237 (or _let_180 _let_91 _let_179))) (let ((_let_238 (or _let_223 (not (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_220))) (let ((_let_239 (forall ((X22 $$unsorted)) (or (tptp.c1_1 X22) (tptp.c2_1 X22) (not (tptp.c0_1 X22)))))) (let ((_let_240 (forall ((X44 $$unsorted)) (or (tptp.c1_1 X44) (tptp.c2_1 X44) (not (tptp.c0_1 X44)))))) (let ((_let_241 (forall ((X55 $$unsorted)) (or (tptp.c2_1 X55) (tptp.c3_1 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(CNF_OR_POS :args (_let_625)) :args ((or _let_277 _let_275 _let_332 (not _let_625)))))) (let ((_let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_546 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_545)) :args _let_544)))) (let ((_let_634 (_let_227))) (let ((_let_635 ((not (= (tptp.c1_1 X17) false))))) (let ((_let_636 (ASSUME :args _let_634))) (let ((_let_637 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_204 :args (52)) _let_365 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= X17 X35)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_252 (= X26 X34)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_636 :args (tptp.a954 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_635)) :args _let_634)) _let_628 (REORDERING (CNF_OR_POS :args (_let_626)) :args ((or _let_342 _let_335 _let_337 (not _let_626)))) _let_630 _let_629 _let_562 _let_561 _let_560 _let_567 _let_569 _let_365 _let_553 _let_633 _let_632 _let_631 _let_324 (MACRO_RESOLUTION_TRUST _let_630 _let_629 _let_562 _let_561 _let_567 _let_569 _let_365 _let_553 _let_628 _let_547 _let_548 _let_538 _let_539 _let_365 _let_536 _let_534 _let_533 _let_532 _let_531 _let_529 _let_526 _let_522 _let_518 _let_365 _let_514 _let_365 _let_513 :args ((or tptp.hskp7 tptp.hskp15 _let_296 _let_263 _let_535 _let_627) false _let_336 true _let_25 false _let_27 false _let_29 false tptp.hskp23 false tptp.ndr1_0 true _let_489 false _let_338 true _let_485 false _let_252 true _let_483 false _let_334 false tptp.ndr1_0 false _let_399 true tptp.hskp13 false _let_1 false _let_2 false _let_3 true _let_84 false _let_4 false _let_183 false tptp.hskp30 false tptp.ndr1_0 false _let_177 false tptp.ndr1_0 true _let_264)) _let_570 (MACRO_RESOLUTION_TRUST _let_576 _let_574 _let_573 _let_572 :args ((or _let_571 _let_575) true _let_67 true _let_69 false _let_71)) _let_580 _let_586 _let_365 _let_362 _let_585 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (tptp.a954 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_379)) :args _let_378)) _let_381 :args ((or tptp.hskp3 tptp.hskp7 _let_296 (not _let_372) _let_278 _let_277 _let_275 _let_535) false tptp.ndr1_0 true (forall ((X35 $$unsorted)) (or (not (tptp.c1_1 X35)) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35)))) true (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (not (tptp.c2_1 X34)) (not (tptp.c3_1 X34)))) true _let_227 true _let_252 true _let_626 true _let_338 false _let_336 true _let_25 false _let_27 false _let_28 false _let_29 false tptp.hskp23 false tptp.ndr1_0 true _let_489 true _let_485 true _let_625 false _let_303 false _let_304 false _let_263 true tptp.hskp15 true _let_72 false _let_493 false _let_317 false tptp.ndr1_0 true tptp.hskp4 true _let_135 false _let_624 false _let_373)))) (let ((_let_638 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_542 :args (tptp.a916 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_541)) :args _let_540)))) (let ((_let_639 (not _let_173))) (let ((_let_640 (not _let_8))) (let ((_let_641 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_172 _let_171 _let_170 _let_639))) (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_640))) (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_640))) (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_640))) :args ((or _let_640 _let_639) false _let_5 false _let_6 false _let_7)))) (let ((_let_642 (AND_ELIM _let_204 :args (28)))) (let ((_let_643 (AND_ELIM _let_204 :args (68)))) (let ((_let_644 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_176 (= X41 X58)))))) (let ((_let_645 (_let_176))) (let ((_let_646 ((not (= (tptp.c0_1 X41) false))))) (let ((_let_647 (ASSUME :args _let_645))) (let ((_let_648 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_646)) :args _let_645)))) (let ((_let_649 (not _let_333))) (let ((_let_650 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_333)) :args ((or _let_278 _let_277 _let_332 _let_649))) _let_631 _let_469 _let_467 :args ((or _let_279 _let_345 _let_649) false _let_303 false _let_276 true _let_278)))) (let ((_let_651 (MACRO_RESOLUTION_TRUST _let_537 _let_536 _let_532 _let_531 _let_526 _let_518 _let_365 _let_513 _let_324 _let_650 _let_648 _let_644 _let_643 _let_365 _let_642 _let_641 _let_543 _let_638 _let_374 _let_365 _let_637 _let_587 _let_590 _let_593 _let_623 (MACRO_RESOLUTION_TRUST _let_620 (REORDERING (CNF_OR_POS :args (_let_424)) :args ((or _let_402 _let_389 _let_390 _let_617))) _let_619 _let_618 :args ((or _let_403 _let_617 _let_616) false _let_390 false _let_388 true _let_402)) _let_504 _let_615 _let_612 _let_606 (MACRO_RESOLUTION_TRUST _let_602 (REORDERING (CNF_OR_POS :args (_let_488)) :args ((or _let_51 _let_280 _let_487 (not _let_488)))) _let_600 _let_599 _let_598 _let_596 _let_595 _let_365 _let_594 _let_593 _let_590 _let_587 _let_586 _let_365 _let_362 _let_585 _let_580 _let_576 _let_574 _let_573 _let_572 _let_570 _let_569 _let_365 _let_568 _let_567 _let_566 _let_381 _let_563 _let_557 _let_553 _let_374 _let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_551 :args (tptp.a937 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_550)) :args _let_549)) _let_552 _let_548 _let_547 _let_543 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_484 (= X2 X20)))) _let_539 _let_365 _let_538 _let_537 _let_536 (AND_ELIM _let_204 :args (42)) _let_365 _let_534 _let_533 _let_532 _let_531 (AND_ELIM _let_204 :args (8)) _let_529 _let_526 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_481)) :args ((or _let_109 _let_471 _let_480 _let_523))) (REORDERING (CNF_OR_POS :args (_let_473)) :args ((or _let_107 _let_471 _let_472 _let_524))) (REORDERING (CNF_AND_POS :args (_let_112 3)) :args ((or _let_108 _let_525))) (REORDERING (CNF_AND_POS :args (_let_112 2)) :args ((or _let_110 _let_525))) (REORDERING (CNF_AND_POS :args (_let_112 1)) :args ((or _let_111 _let_525))) :args ((or _let_525 _let_524 _let_523) false _let_472 true _let_107 true _let_109 false _let_111)) _let_522 _let_518 _let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)) _let_514 _let_365 _let_513 _let_512 _let_325 _let_511 _let_365 _let_355 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_510 :args (tptp.a906 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X30) true))))) :args _let_509)) _let_508 (MACRO_RESOLUTION_TRUST _let_508 (REORDERING (CNF_OR_POS :args (_let_476)) :args ((or _let_124 _let_216 _let_306 _let_507))) _let_353 _let_352 _let_351 :args ((or _let_350 _let_507 _let_506) false _let_306 true _let_124 false _let_126 false _let_127)) _let_353 _let_351 _let_505 _let_504 _let_371 _let_500 _let_499 _let_365 _let_498 _let_365 _let_497 _let_496 _let_447 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a909 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_413)) :args _let_409)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_185 (= X10 X19)))) _let_440 _let_437 _let_417 _let_416 _let_412 _let_442 _let_441 _let_433 _let_438 _let_427 _let_434 _let_435 _let_431 _let_430 _let_428 _let_495 _let_408 _let_407 _let_365 _let_406 :args ((or tptp.hskp25 _let_267 _let_382) true _let_281 true _let_49 true _let_51 false _let_53 false _let_54 false tptp.hskp18 false tptp.ndr1_0 true _let_494 true _let_239 true _let_319 false _let_141 false tptp.hskp3 false tptp.ndr1_0 true tptp.hskp4 true _let_135 true _let_317 true _let_493 true _let_67 true _let_69 false _let_71 false _let_72 false tptp.hskp15 false tptp.ndr1_0 true tptp.hskp19 true tptp.hskp23 true _let_48 false _let_373 true _let_29 false _let_492 true _let_489 false _let_372 false tptp.ndr1_0 false _let_488 false _let_486 false _let_252 true _let_485 true _let_162 false _let_484 false _let_334 false tptp.ndr1_0 true _let_483 true _let_426 false _let_399 false (forall ((X20 $$unsorted)) (or (tptp.c0_1 X20) (not (tptp.c1_1 X20)) (not (tptp.c3_1 X20)))) false tptp.ndr1_0 true tptp.hskp13 false _let_1 false _let_2 false _let_3 true tptp.hskp8 true _let_84 false _let_4 true _let_112 false _let_183 false tptp.hskp30 false tptp.ndr1_0 false _let_481 false _let_177 false tptp.ndr1_0 true _let_264 false _let_479 true _let_263 false _let_478 false tptp.ndr1_0 true _let_307 true _let_477 true _let_306 true _let_476 true _let_124 false _let_127 false _let_401 false _let_400 false _let_128 false _let_396 false tptp.hskp5 false tptp.ndr1_0 false _let_475 false tptp.ndr1_0 true _let_268 true _let_474 true _let_296 false _let_473 true (forall ((X19 $$unsorted)) (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19))) true _let_185 true _let_184 true tptp.hskp7 true _let_118 false _let_261 true _let_161 true _let_422 true _let_34 true _let_418 false _let_420 true _let_32 true _let_30 false _let_36 false tptp.hskp21 true _let_421 false _let_282 false _let_259 false _let_384 false tptp.ndr1_0 true _let_383)) _let_470 _let_469 _let_467 _let_466 _let_463 _let_461 _let_458 _let_457 _let_365 _let_456 _let_455 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_451 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_450)) :args _let_449)) _let_452 _let_448 _let_365 _let_347 _let_346 _let_447 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (tptp.a946 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) _let_442 (REORDERING (CNF_OR_POS :args (_let_423)) :args ((or _let_34 _let_30 _let_418 (not _let_423)))) _let_441 _let_440 _let_438 _let_437 _let_435 _let_434 _let_433 _let_431 _let_430 _let_365 _let_428 _let_427 _let_414 _let_417 _let_416 _let_412 _let_408 _let_407 _let_365 _let_406 :args ((or tptp.hskp25 _let_382) false _let_399 false _let_2 false _let_3 false _let_4 false tptp.hskp30 false tptp.ndr1_0 true _let_264 true _let_263 true _let_304 false _let_333 false _let_176 false _let_174 false tptp.ndr1_0 true tptp.hskp28 true _let_8 false _let_426 false _let_173 false _let_162 false tptp.ndr1_0 true _let_372 true tptp.hskp3 true _let_141 false _let_319 false _let_239 false _let_403 false _let_400 false _let_396 false _let_395 false _let_405 false _let_267 false _let_274 false _let_276 true _let_278 true _let_279 true _let_273 true _let_272 false _let_152 false tptp.hskp1 false tptp.ndr1_0 true tptp.hskp2 true _let_147 false _let_424 false _let_340 false _let_245 false tptp.ndr1_0 true _let_331 true _let_330 true _let_296 true _let_246 true _let_161 true _let_423 true _let_422 true _let_185 true _let_418 true _let_184 true _let_30 true _let_32 true _let_34 false _let_36 false tptp.hskp21 false tptp.ndr1_0 true _let_421 false _let_420 false _let_292 true tptp.hskp7 true _let_118 false _let_261 false _let_259 false _let_384 false tptp.ndr1_0 true _let_383)))) (let ((_let_652 (AND_ELIM _let_204 :args (25)))) (let ((_let_653 (not _let_387))) (let ((_let_654 (not _let_17))) (let ((_let_655 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_387)) :args ((or _let_13 _let_386 _let_385 _let_653))) (REORDERING (CNF_AND_POS :args (_let_17 3)) :args ((or _let_14 _let_654))) (REORDERING (CNF_AND_POS :args (_let_17 2)) :args ((or _let_15 _let_654))) (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 _let_654))) :args ((or _let_654 _let_653) true _let_13 false _let_15 false _let_16)))) (let ((_let_656 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (tptp.a960 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_646)) :args _let_645)))) (let ((_let_657 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_176 (= X41 X56)))))) (let ((_let_658 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_162 (= W X57)))))) (let ((_let_659 (AND_ELIM _let_204 :args (67)))) (let ((_let_660 (forall ((X79 $$unsorted)) (or (tptp.c2_1 X79) (not (tptp.c1_1 X79)) (not (tptp.c3_1 X79)))))) (let ((_let_661 (or _let_164 _let_186 _let_188))) (let ((_let_662 (not _let_98))) (let ((_let_663 (not _let_99))) (let ((_let_664 (or _let_96 _let_663 _let_662))) (let ((_let_665 (not _let_105))) (let ((_let_666 (or _let_103 _let_101 _let_665))) (let ((_let_667 (or _let_278 _let_303 _let_275))) (let ((_let_668 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_382 (= X31 X79)))))) (let ((_let_669 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)))) (let ((_let_670 (or _let_51 _let_49 _let_487))) (let ((_let_671 (MACRO_RESOLUTION_TRUST _let_602 (REORDERING (CNF_OR_POS :args (_let_670)) :args ((or _let_51 _let_49 _let_487 (not _let_670)))) _let_600 _let_599 _let_598 _let_596 _let_595 _let_365 _let_594 _let_568 _let_593 _let_566 _let_590 _let_557 _let_587 _let_548 _let_637 _let_539 _let_365 _let_504 _let_534 _let_615 _let_529 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (tptp.a937 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_379)) :args _let_378)) _let_612 _let_522 _let_374 _let_365 _let_346 _let_514 _let_365 (REORDERING (EQUIV_ELIM1 _let_446) :args ((or _let_296 _let_196))) :args ((or tptp.hskp7 _let_162 _let_296 _let_263 _let_278 _let_277 _let_275 _let_601 _let_610) true _let_281 true _let_49 true _let_51 false _let_53 false _let_54 false tptp.hskp18 false tptp.ndr1_0 true _let_494 true tptp.hskp19 true _let_239 true _let_48 true _let_319 false _let_492 false _let_141 false _let_252 false tptp.hskp3 false _let_334 false tptp.ndr1_0 false _let_400 true tptp.hskp13 false _let_396 true _let_84 false _let_670 false _let_395 false _let_183 false _let_372 false tptp.ndr1_0 true _let_330 false _let_177 false tptp.ndr1_0 true _let_161)))) (let ((_let_672 (not _let_661))) (let ((_let_673 (not _let_167))) (let ((_let_674 (CNF_OR_NEG :args (_let_187 0)))) (let ((_let_675 (CNF_OR_NEG :args (_let_187 1)))) (let ((_let_676 (CNF_OR_NEG :args (_let_187 2)))) (let ((_let_677 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_166 _let_164 _let_165 _let_673))))) (let ((_let_678 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_661)) :args ((or _let_164 _let_186 _let_188 _let_672))) _let_677 _let_676 _let_675 _let_674 :args ((or _let_187 _let_673 _let_672) false _let_165 true _let_186 true _let_164 true _let_166)))) (let ((_let_679 (not _let_185))) (let ((_let_680 (_let_679))) (let ((_let_681 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_680)) :args _let_680)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_679) _let_185))) (REFL :args ((not _let_187))) :args _let_255)))) (let ((_let_682 (AND_ELIM _let_204 :args (82)))) (let ((_let_683 (AND_ELIM _let_204 :args (10)))) (let ((_let_684 (not _let_664))) (let ((_let_685 (not _let_100))) (let ((_let_686 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_664)) :args ((or _let_96 _let_663 _let_662 _let_684))) (REORDERING (CNF_AND_POS :args (_let_100 3)) :args ((or _let_97 _let_685))) (REORDERING (CNF_AND_POS :args (_let_100 2)) :args ((or _let_98 _let_685))) (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_99 _let_685))) :args ((or _let_685 _let_684) true _let_96 false _let_98 false _let_99)))) (let ((_let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (tptp.a912 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)))) (let ((_let_688 ((not (= (tptp.c1_1 X30) true))))) (let ((_let_689 (not _let_666))) (let ((_let_690 (not _let_106))) (let ((_let_691 (tptp.c2_1 tptp.a901))) (let ((_let_692 (or _let_157 _let_155 _let_691))) (let ((_let_693 (not _let_691))) (let ((_let_694 (or _let_155 _let_153 _let_693))) (let ((_let_695 (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_77 _let_361))))) (let ((_let_696 (REORDERING (CNF_AND_POS :args (_let_78 2)) :args ((or _let_76 _let_361))))) (let ((_let_697 (REORDERING (CNF_AND_POS :args (_let_78 3)) :args ((or _let_74 _let_361))))) (let ((_let_698 (REORDERING (CNF_OR_POS :args (_let_300)) :args ((or _let_75 _let_73 _let_299 (not _let_300)))))) (let ((_let_699 (_let_298))) (let ((_let_700 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_699) :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X16) true))))) :args _let_699)))) (let ((_let_701 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_298 (= X16 X18)))))) (let ((_let_702 (AND_ELIM _let_204 :args (41)))) (let ((_let_703 (AND_ELIM _let_204 :args (6)))) (let ((_let_704 (not _let_123))) (let ((_let_705 (REORDERING (CNF_AND_POS :args (_let_123 1)) :args ((or _let_122 _let_704))))) (let ((_let_706 (REORDERING (CNF_AND_POS :args (_let_123 2)) :args ((or _let_121 _let_704))))) (let ((_let_707 (REORDERING (CNF_AND_POS :args (_let_123 3)) :args ((or _let_120 _let_704))))) (let ((_let_708 (not _let_193))) (let ((_let_709 (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_119 _let_192 _let_191 _let_708))))) (let ((_let_710 (_let_194))) (let ((_let_711 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_710) :args (tptp.a907 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X53) true))))) :args _let_710)))) (let ((_let_712 (not _let_159))) (let ((_let_713 (REORDERING (CNF_AND_POS :args (_let_159 2)) :args ((or _let_156 _let_712))))) (let ((_let_714 (not _let_692))) (let ((_let_715 (MACRO_RESOLUTION_TRUST _let_355 _let_508 _let_353 _let_351 _let_371 _let_499 _let_365 _let_497 _let_606 _let_620 (REORDERING (CNF_OR_POS :args (_let_392)) :args ((or _let_391 _let_389 _let_390 (not _let_392)))) _let_619 _let_618 (CNF_OR_NEG :args (_let_403 0)) _let_623 _let_593 _let_590 _let_587 _let_637 _let_505 _let_504 _let_615 _let_612 _let_374 _let_365 _let_346 _let_447 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_155 _let_153 _let_693 (not _let_694)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_692)) :args ((or _let_157 _let_155 _let_691 _let_714))) _let_713 (REORDERING (CNF_AND_POS :args (_let_159 1)) :args ((or _let_158 _let_712))) :args ((or _let_712 _let_691 _let_714) true _let_155 true _let_157)) (REORDERING (CNF_AND_POS :args (_let_159 3)) :args ((or _let_154 _let_712))) _let_713 (AND_ELIM _let_204 :args (0)) (AND_ELIM _let_204 :args (65)) _let_365 _let_711 _let_709 _let_707 _let_706 _let_705 _let_703 _let_702 _let_365 _let_701 _let_700 _let_698 _let_697 _let_696 _let_695 _let_363 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_510 :args (tptp.a901 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_688)) :args _let_509)) (AND_ELIM _let_204 :args (51)) _let_365 _let_511 _let_365 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_479 (= X13 X33)))) _let_512 _let_687 _let_686 _let_683 _let_682 _let_365 _let_431 _let_437 _let_440 _let_681 _let_678 _let_200 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a901 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) _let_669 _let_668 _let_417 _let_416 _let_412 _let_408 _let_407 _let_406 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_273 (= X50 X52)))) _let_463 _let_461 _let_458 _let_659 _let_657 _let_658 _let_638 _let_641 _let_642 _let_643 _let_365 _let_644 _let_656 _let_655 _let_652 _let_651 :args ((or _let_382 _let_196) false _let_691 true _let_153 true _let_155 false _let_159 false tptp.hskp0 false tptp.ndr1_0 true _let_194 true _let_193 true _let_119 false _let_121 false _let_122 false _let_123 false tptp.hskp6 false tptp.ndr1_0 true _let_297 true _let_298 true _let_300 true _let_73 true _let_75 false _let_77 false _let_78 false _let_694 false tptp.hskp14 false tptp.ndr1_0 false _let_477 false tptp.ndr1_0 true (forall ((X33 $$unsorted)) (or (tptp.c0_1 X33) (not (tptp.c1_1 X33)) (not (tptp.c2_1 X33)))) true _let_478 true _let_479 true _let_664 false _let_100 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp21 true _let_36 false _let_184 false _let_185 false _let_187 false _let_167 false _let_692 false _let_661 true _let_660 true tptp.hskp7 true _let_118 false _let_261 false _let_259 false _let_384 true _let_383 true (forall ((X52 $$unsorted)) (or (tptp.c1_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52)))) true _let_273 true _let_272 false _let_152 false tptp.hskp1 true _let_269 true _let_265 true _let_162 true _let_173 false _let_8 false tptp.hskp28 false tptp.ndr1_0 true _let_174 true _let_176 true _let_387 false _let_17 false tptp.hskp25)) _let_325 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_322 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_321)) :args _let_320)) (MACRO_RESOLUTION_TRUST _let_633 (AND_ELIM _let_204 :args (62)) _let_365 _let_632 (AND_ELIM _let_204 :args (9)) (REORDERING (CNF_OR_POS :args (_let_667)) :args ((or _let_278 _let_275 _let_303 (not _let_667)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_666)) :args ((or _let_103 _let_101 _let_665 _let_689))) (REORDERING (CNF_AND_POS :args (_let_106 3)) :args ((or _let_102 _let_690))) (REORDERING (CNF_AND_POS :args (_let_106 2)) :args ((or _let_104 _let_690))) (REORDERING (CNF_AND_POS :args (_let_106 1)) :args ((or _let_105 _let_690))) :args ((or _let_690 _let_689) true _let_101 true _let_103 false _let_105)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_510 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_688)) :args _let_509)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_510 :args (tptp.a910 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_688)) :args _let_509)) _let_511 _let_365 _let_512 _let_687 _let_686 _let_683 _let_682 _let_365 _let_431 _let_437 _let_440 _let_681 _let_678 _let_200 _let_447 _let_671 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_263 (= Z X47)))) _let_495 _let_414 _let_417 _let_416 _let_412 _let_669 _let_408 _let_407 _let_406 _let_668 _let_467 _let_469 _let_470 _let_466 _let_463 _let_461 _let_458 _let_659 _let_657 _let_658 _let_638 _let_641 _let_642 _let_643 _let_365 _let_644 _let_656 _let_655 _let_652 _let_651 :args ((or _let_263 _let_382) false _let_485 false tptp.ndr1_0 true _let_625 true tptp.hskp9 false _let_303 true _let_106 false _let_667 false _let_666 false _let_477 false tptp.ndr1_0 true _let_478 true _let_479 true _let_664 false _let_100 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp21 true _let_36 false _let_184 false _let_185 false _let_187 false _let_167 false _let_161 false _let_296 true (forall ((X47 $$unsorted)) (or (tptp.c1_1 X47) (tptp.c3_1 X47) (not (tptp.c0_1 X47)))) false _let_282 false _let_292 true tptp.hskp7 true _let_118 false _let_261 false _let_661 false _let_259 false _let_384 true _let_383 true _let_660 true _let_278 false _let_276 false _let_274 true _let_279 true _let_273 true _let_272 false _let_152 false tptp.hskp1 true _let_269 true _let_265 true _let_162 true _let_173 false _let_8 false tptp.hskp28 false tptp.ndr1_0 true _let_174 true _let_176 true _let_387 false _let_17 false tptp.hskp25)) _let_470 _let_469 _let_467 _let_466 _let_463 _let_461 _let_458 _let_659 _let_365 _let_658 _let_638 _let_641 _let_642 _let_643 _let_365 _let_644 _let_657 _let_656 _let_655 _let_652 _let_651 _let_417 _let_416 _let_414 _let_412 _let_408 _let_407 _let_365 _let_406 :args (_let_382 true _let_306 true _let_124 false _let_127 false _let_128 false tptp.hskp5 false tptp.ndr1_0 true _let_268 true _let_267 true _let_405 false _let_390 false _let_388 true _let_402 true _let_391 true _let_403 true _let_239 true _let_319 false _let_141 false tptp.hskp3 false _let_401 false _let_400 false _let_396 false _let_395 false _let_372 false tptp.ndr1_0 true _let_330 true _let_296 true _let_161 false _let_307 false _let_392 false _let_263 false _let_274 false _let_276 true _let_278 true _let_279 true _let_273 true _let_272 false _let_152 false tptp.hskp1 false tptp.ndr1_0 true _let_265 true _let_162 true _let_173 false _let_8 false tptp.hskp28 false tptp.ndr1_0 true _let_174 true _let_269 true _let_176 true _let_387 false _let_17 false tptp.hskp25 true tptp.hskp7 true _let_118 false _let_292 false _let_261 false _let_259 false _let_384 false tptp.ndr1_0 true _let_383)))) (let ((_let_716 (_let_382))) (let ((_let_717 (ASSUME :args _let_716))) (let ((_let_718 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X31) false))))) :args _let_716)) _let_715 :args (_let_215 false _let_382)))) (let ((_let_719 (REORDERING (CNF_OR_POS :args (_let_215)) :args ((or _let_209 _let_207 _let_214 (not _let_215)))))) (let ((_let_720 (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_209 _let_207 _let_225 (not _let_226)))))) (let ((_let_721 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_636 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_635)) :args _let_634)))) (let ((_let_722 (MACRO_RESOLUTION_TRUST _let_698 _let_697 _let_696 _let_695 _let_700 _let_363 (AND_ELIM _let_204 :args (40)) _let_365 _let_364 _let_721 _let_362 _let_720 _let_585 _let_719 _let_718 _let_381 _let_377 _let_376 _let_374 _let_365 _let_258 :args ((or tptp.hskp5 tptp.hskp20 _let_161 _let_162) true _let_73 true _let_75 false _let_77 false _let_300 false _let_78 false _let_298 false tptp.ndr1_0 false tptp.hskp14 true _let_227 true tptp.hskp4 true _let_226 true _let_135 false _let_214 false _let_215 false _let_373 false _let_206 false _let_208 false _let_372 false tptp.ndr1_0 true _let_210)))) (let ((_let_723 (not _let_87))) (let ((_let_724 (not _let_88))) (let ((_let_725 (or _let_85 _let_724 _let_723))) (let ((_let_726 (not _let_89))) (let ((_let_727 ((not (= (tptp.c2_1 X31) true))))) (let ((_let_728 (not _let_725))) (let ((_let_729 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_204 :args (12)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_725)) :args ((or _let_85 _let_724 _let_723 _let_728))) (REORDERING (CNF_AND_POS :args (_let_89 3)) :args ((or _let_86 _let_726))) (REORDERING (CNF_AND_POS :args (_let_89 2)) :args ((or _let_87 _let_726))) (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_88 _let_726))) :args ((or _let_726 _let_728) true _let_85 false _let_87 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a917 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_716)) _let_715 :args (_let_725 false _let_382)) :args (_let_726 false _let_725)) :args (_let_90 true _let_89)))) (let ((_let_730 (REORDERING (AND_ELIM _let_204 :args (47)) :args ((or tptp.hskp12 tptp.hskp28 _let_429 _let_175))))) (let ((_let_731 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_177 (= Y X27)))))) (let ((_let_732 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X11 X64)))))) (let ((_let_733 (AND_ELIM _let_204 :args (72)))) (let ((_let_734 (not _let_314))) (let ((_let_735 (not _let_309))) (let ((_let_736 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= X22 X44)))))) (let ((_let_737 (AND_ELIM _let_204 :args (59)))) (let ((_let_738 (AND_ELIM _let_204 :args (17)))) (let ((_let_739 (not _let_61))) (let ((_let_740 (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_60 _let_739))))) (let ((_let_741 (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_58 _let_739))))) (let ((_let_742 (REORDERING (CNF_AND_POS :args (_let_61 3)) :args ((or _let_56 _let_739))))) (let ((_let_743 (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_59 _let_57 _let_168 _let_253))))) (let ((_let_744 (forall ((X80 $$unsorted)) (or (tptp.c3_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c1_1 X80)))))) (let ((_let_745 (not _let_9))) (let ((_let_746 (not _let_10))) (let ((_let_747 (not _let_11))) (let ((_let_748 (or _let_747 _let_746 _let_745))) (let ((_let_749 (AND_ELIM _let_204 :args (27)))) (let ((_let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_604)) :args _let_603)))) (let ((_let_751 (not _let_12))) (let ((_let_752 (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_11 _let_751))))) (let ((_let_753 (REORDERING (CNF_AND_POS :args (_let_12 2)) :args ((or _let_10 _let_751))))) (let ((_let_754 (REORDERING (CNF_AND_POS :args (_let_12 3)) :args ((or _let_9 _let_751))))) (let ((_let_755 (not _let_748))) (let ((_let_756 (REORDERING (CNF_OR_POS :args (_let_748)) :args ((or _let_747 _let_746 _let_745 _let_755))))) (let ((_let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_636 :args (tptp.a900 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_635)) :args _let_634)))) (let ((_let_758 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= X17 X84)))))) (let ((_let_759 (AND_ELIM _let_204 :args (87)))) (let ((_let_760 (AND_ELIM _let_204 :args (11)))) (let ((_let_761 (not _let_95))) (let ((_let_762 (REORDERING (CNF_AND_POS :args (_let_95 3)) :args ((or _let_92 _let_761))))) (let ((_let_763 (not _let_266))) (let ((_let_764 (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_94 _let_761))))) (let ((_let_765 (REORDERING (CNF_AND_POS :args (_let_95 2)) :args ((or _let_93 _let_761))))) (let ((_let_766 (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_91 _let_179 _let_178 _let_763))))) (let ((_let_767 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_766 _let_765 _let_764 :args ((or _let_91 _let_761 _let_763) false _let_93 false _let_94)) _let_762 _let_760 _let_759 _let_365 _let_729 _let_758 _let_757 _let_756 _let_754 _let_753 _let_752 _let_750 _let_749 _let_496 (REORDERING (AND_ELIM _let_204 :args (83)) :args ((or tptp.hskp13 tptp.hskp27 _let_429 _let_744))) _let_365 _let_498 _let_365 _let_534 _let_652 _let_529 _let_655 _let_522 _let_656 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_396 (= X62 X80)))) _let_500 _let_731 _let_644 _let_504 _let_730 _let_365 _let_729 _let_643 _let_365 _let_536 _let_642 _let_537 _let_641 _let_543 _let_638 :args ((or _let_398 _let_397 _let_256) true _let_91 false _let_95 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp12 true _let_229 true _let_227 true _let_748 false _let_9 false _let_10 false _let_11 false _let_266 false _let_12 false _let_267 false tptp.hskp27 false tptp.ndr1_0 false _let_474 false tptp.ndr1_0 true tptp.hskp13 true tptp.hskp25 true _let_84 true _let_17 false _let_183 false _let_387 true _let_744 true _let_475 false _let_177 false _let_176 true _let_396 false _let_175 false tptp.ndr1_0 true tptp.hskp12 false _let_174 false tptp.ndr1_0 true _let_400 true tptp.hskp28 true _let_399 true _let_8 false _let_426 false _let_173)))) (let ((_let_768 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_716)) _let_715 :args (_let_235 false _let_382)))) (let ((_let_769 (REORDERING (CNF_OR_POS :args (_let_235)) :args ((or _let_91 _let_178 _let_234 (not _let_235)))))) (let ((_let_770 (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_91 _let_179 _let_180 (not _let_237)))))) (let ((_let_771 (not _let_181))) (let ((_let_772 (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_179 _let_178 _let_180 _let_771))))) (let ((_let_773 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_592 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X22) true))))) :args _let_591)))) (let ((_let_774 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_647 :args (tptp.a914 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_646)) :args _let_645)))) (let ((_let_775 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= X6 X68)))))) (let ((_let_776 (AND_ELIM _let_204 :args (74)))) (let ((_let_777 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_259 (= X51 X67)))))) (let ((_let_778 (not _let_294))) (let ((_let_779 (not _let_287))) (let ((_let_780 (not _let_194))) (let ((_let_781 (_let_780))) (let ((_let_782 (not _let_244))) (let ((_let_783 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_244)) :args ((or _let_57 _let_55 _let_243 _let_782))) _let_742 _let_741 :args ((or _let_739 _let_243 _let_782) true _let_55 true _let_57)))) (let ((_let_784 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_451 :args (tptp.a936 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_450)) :args _let_449)))) (let ((_let_785 (MACRO_RESOLUTION_TRUST _let_709 _let_707 _let_706 _let_705 :args ((or _let_704 _let_708) true _let_119 false _let_121 false _let_122)))) (let ((_let_786 (MACRO_RESOLUTION_TRUST _let_412 (MACRO_RESOLUTION_TRUST _let_416 (MACRO_RESOLUTION_TRUST _let_417 (MACRO_RESOLUTION_TRUST _let_698 _let_697 _let_696 _let_695 _let_700 _let_363 _let_701 (AND_ELIM _let_204 :args (71)) _let_365 _let_702 _let_365 _let_703 _let_785 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X11 X63)))) _let_784 _let_783 _let_743 _let_201 _let_711 _let_447 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_781)) :args _let_781)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_780) _let_194))) (REFL :args ((not _let_295))) :args _let_255)) _let_671 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_294)) :args ((or _let_286 _let_284 _let_293 _let_778))) (REORDERING (CNF_OR_POS :args (_let_287)) :args ((or _let_286 _let_284 _let_285 _let_779))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_295 2)) (CONG (REFL :args (_let_295)) (MACRO_SR_PRED_INTRO :args ((= (not _let_284) _let_283))) :args _let_255)) :args ((or _let_283 _let_295))) (CNF_OR_NEG :args (_let_295 0)) :args ((or _let_295 _let_779 _let_778) false _let_285 false _let_283 true _let_286)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_716)) _let_715 :args (_let_294 false _let_382)) _let_414 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)) _let_495 _let_777 _let_470 _let_469 _let_467 _let_776 _let_365 _let_466 _let_775 _let_463 _let_359 _let_461 _let_741 _let_740 _let_354 _let_458 _let_738 _let_353 _let_352 _let_351 _let_659 _let_365 _let_737 _let_365 _let_729 _let_371 _let_657 _let_736 _let_499 _let_365 _let_774 _let_773 _let_497 _let_772 _let_770 _let_750 _let_769 _let_768 _let_766 _let_762 _let_765 _let_764 _let_760 _let_759 _let_365 _let_729 _let_758 _let_721 _let_720 _let_719 _let_718 _let_377 _let_376 _let_258 _let_254 _let_658 _let_767 _let_532 _let_531 _let_526 _let_518 _let_365 _let_513 (MACRO_RESOLUTION_TRUST _let_743 (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_59 _let_55 _let_243 (not _let_305)))) _let_742 _let_741 _let_740 _let_738 _let_737 _let_365 _let_729 _let_736 _let_593 _let_590 _let_587 _let_586 _let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_579 :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_578)) :args _let_577)) (REORDERING (CNF_OR_POS :args (_let_316)) :args ((or _let_75 _let_73 _let_315 (not _let_316)))) (REORDERING (CNF_OR_POS :args (_let_311)) :args ((or _let_75 _let_73 _let_310 (not _let_311)))) _let_697 _let_696 _let_363 _let_364 _let_362 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_314)) :args ((or _let_130 _let_312 _let_313 _let_734))) (REORDERING (CNF_OR_POS :args (_let_309)) :args ((or _let_132 _let_130 _let_308 _let_735))) _let_584 _let_583 _let_582 :args ((or _let_360 _let_735 _let_734) false _let_308 true _let_130 true _let_132 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a905 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_716)) _let_715 :args (_let_314 false _let_382)) _let_201 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a923 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a905 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) (MACRO_RESOLUTION_TRUST _let_630 (REORDERING (CNF_OR_POS :args (_let_343)) :args ((or _let_342 _let_335 _let_336 (not _let_343)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a954 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_727)) :args _let_716)) _let_715 :args (_let_343 false _let_382)) _let_562 _let_561 _let_560 _let_567 _let_733 _let_365 _let_732 _let_452 _let_455 _let_456 _let_457 _let_365 _let_628 _let_458 _let_548 _let_461 _let_539 _let_365 _let_463 _let_534 _let_466 _let_529 _let_650 _let_522 _let_648 _let_731 _let_644 _let_730 _let_365 _let_729 _let_643 _let_365 _let_642 _let_641 _let_638 _let_722 _let_371 _let_370 _let_347 _let_346 :args ((or tptp.hskp7 tptp.hskp20 _let_161 _let_345 _let_344) false _let_336 false _let_343 true _let_25 false _let_27 false _let_28 false _let_29 false tptp.hskp23 false tptp.ndr1_0 true _let_341 true _let_245 true _let_340 false _let_147 false tptp.hskp2 false tptp.ndr1_0 false _let_338 true tptp.hskp1 false _let_252 true _let_152 false _let_334 false tptp.ndr1_0 false _let_272 true tptp.hskp13 false _let_273 true _let_84 false _let_279 false _let_183 false _let_333 false _let_177 false _let_176 false _let_175 false tptp.ndr1_0 true tptp.hskp12 false _let_174 false tptp.ndr1_0 true tptp.hskp28 true _let_8 false _let_173 false _let_162 true tptp.hskp5 true _let_128 true _let_331 true _let_330)) _let_329 _let_328 _let_325 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_322 :args (tptp.a936 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_321)) :args _let_320)) _let_324 _let_323 :args ((or tptp.hskp7 (not _let_263)) true _let_168 true _let_55 true _let_57 true _let_59 false _let_61 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp12 true _let_240 true _let_239 true _let_319 false _let_141 false tptp.hskp3 false tptp.ndr1_0 true _let_317 true _let_316 false _let_310 true _let_73 true _let_75 false _let_78 false tptp.hskp14 true tptp.hskp4 true _let_135 false _let_314 false _let_169 false _let_311 false _let_309 false _let_161 true tptp.hskp20 true _let_42 false _let_307 false _let_305 false _let_304 false _let_302)) :args (tptp.hskp7 true _let_73 true _let_75 false _let_77 false _let_300 false _let_78 false _let_298 false tptp.hskp14 false tptp.ndr1_0 false _let_297 false tptp.ndr1_0 true tptp.hskp6 true _let_123 true (forall ((X63 $$unsorted)) (or (tptp.c2_1 X63) (tptp.c3_1 X63) (not (tptp.c0_1 X63)))) true _let_245 true _let_244 false _let_168 false _let_169 false _let_193 false _let_161 false _let_194 false _let_296 false _let_295 false _let_294 false _let_292 false _let_287 false _let_282 false _let_259 false _let_274 false _let_276 true _let_278 false _let_211 false tptp.ndr1_0 true _let_279 true _let_212 true _let_273 true _let_213 true _let_272 true _let_57 true _let_59 true _let_218 false _let_152 false _let_61 true _let_124 false _let_126 false _let_127 false tptp.hskp1 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp12 false _let_128 true _let_269 true _let_240 false tptp.hskp5 false tptp.ndr1_0 true _let_176 true _let_239 true _let_268 true _let_181 true _let_237 true _let_267 true _let_180 false _let_235 true _let_266 true _let_91 false _let_93 false _let_94 false _let_95 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp12 true _let_229 true _let_227 true _let_226 false _let_214 false _let_215 false _let_206 false _let_208 true _let_210 true _let_205 true _let_265 true _let_162 false _let_2 false _let_3 false _let_4 false tptp.hskp30 false tptp.ndr1_0 true _let_264 true _let_263)) :args (_let_118 false tptp.hskp7)) :args (_let_262 false _let_118)) :args ((not _let_259) true _let_261)))) (let ((_let_787 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_358 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_357)) :args _let_356)))) (let ((_let_788 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= X17 X71)))))) (let ((_let_789 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_259 (= X51 X70)))) _let_786 :args ((not _let_230) true _let_259)))) (let ((_let_790 (AND_ELIM _let_204 :args (75)))) (let ((_let_791 (AND_ELIM _let_204 :args (16)))) (let ((_let_792 (not _let_66))) (let ((_let_793 (REORDERING (CNF_AND_POS :args (_let_66 2)) :args ((or _let_64 _let_792))))) (let ((_let_794 (not _let_233))) (let ((_let_795 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_233)) :args ((or _let_62 _let_232 _let_231 _let_794))) (REORDERING (CNF_AND_POS :args (_let_66 3)) :args ((or _let_63 _let_792))) (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_65 _let_792))) :args ((or _let_231 _let_792 _let_794) true _let_62 false _let_65)))) (let ((_let_796 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_369 :args (tptp.a926 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_367)))) (let ((_let_797 (not _let_238))) (let ((_let_798 (not _let_236))) (let ((_let_799 (_let_798))) (let ((_let_800 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_799)) :args _let_799)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_798) _let_236))) (REFL :args (_let_797)) :args _let_255)))) (let ((_let_801 (CNF_OR_NEG :args (_let_238 0)))) (let ((_let_802 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_238 2)) (CONG (REFL :args (_let_238)) (MACRO_SR_PRED_INTRO :args ((= (not _let_220) _let_219))) :args _let_255)) :args ((or _let_219 _let_238))))) (let ((_let_803 (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_223 _let_220 _let_222 (not _let_224)))))) (let ((_let_804 (not _let_242))) (let ((_let_805 (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_223 _let_220 _let_221 _let_804))))) (let ((_let_806 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_521 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_520)) :args _let_519)))) (let ((_let_807 (_let_190))) (let ((_let_808 (MACRO_RESOLUTION_TRUST _let_769 _let_768 _let_772 _let_762 _let_765 _let_764 :args ((or _let_761 _let_771) false _let_235 false _let_180 true _let_91 false _let_93 false _let_94)))) (let ((_let_809 (MACRO_RESOLUTION_TRUST _let_767 _let_532 _let_531 _let_526 (REORDERING (AND_ELIM _let_204 :args (77)) :args ((or tptp.hskp24 tptp.hskp30 _let_429 _let_195))) _let_365 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_194 (= X53 X73)))) _let_711 _let_785 _let_703 (AND_ELIM _let_204 :args (45)) _let_365 _let_760 _let_808 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_807) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X24) true))))) :args _let_807)) (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_166 _let_186 _let_188 (not _let_189)))) _let_677 _let_676 _let_675 _let_674 _let_681 _let_440 _let_437 _let_431 (AND_ELIM _let_204 :args (90)) _let_729 _let_534 _let_529 _let_522 _let_774 _let_731 _let_644 _let_730 _let_365 _let_729 _let_643 _let_365 _let_642 _let_641 _let_638 (MACRO_RESOLUTION_TRUST _let_354 _let_353 _let_352 _let_351 _let_371 (AND_ELIM _let_204 :args (46)) _let_365 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_556 :args (tptp.a924 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_555)) :args _let_554)) (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_69 _let_250 _let_249 (not _let_251)))) (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_69 _let_67 _let_247 (not _let_248)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_445 :args (tptp.a924 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_444)) :args _let_443)) _let_448 _let_365 _let_784 _let_783 _let_440 _let_743 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_177 (= Y X25)))) _let_437 _let_741 _let_740 _let_574 _let_573 _let_572 _let_806 _let_431 _let_738 _let_570 _let_805 (AND_ELIM _let_204 :args (66)) _let_365 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_259 (= X51 X55)))) _let_786 :args ((not _let_241) true _let_259)) _let_737 _let_365 _let_729 (AND_ELIM _let_204 :args (58)) _let_365 _let_803 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_176 (= X41 X54)))) _let_736 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= X22 X42)))) _let_802 _let_801 _let_774 _let_773 _let_800 _let_772 _let_770 _let_796 _let_769 _let_768 _let_795 _let_762 _let_765 _let_764 _let_793 _let_760 _let_791 _let_759 _let_365 _let_729 _let_790 _let_365 _let_789 _let_758 _let_788 _let_721 _let_720 _let_787 _let_359 _let_719 _let_718 _let_775 _let_377 _let_376 _let_776 _let_365 (MACRO_RESOLUTION_TRUST _let_777 _let_786 :args ((not _let_211) true _let_259)) _let_258 _let_254 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_162 (= W X43)))) :args ((or _let_162 _let_253) true _let_124 false _let_126 false _let_127 false _let_128 false tptp.hskp5 false tptp.ndr1_0 true _let_252 true _let_251 false _let_247 false _let_248 false _let_246 false tptp.ndr1_0 true _let_245 true _let_244 true _let_185 false _let_168 true (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c3_1 X25) (not (tptp.c2_1 X25)))) true _let_184 true _let_57 true _let_59 true _let_67 true _let_69 false _let_71 true _let_177 false _let_36 false _let_61 false _let_72 true _let_242 false tptp.hskp21 false tptp.ndr1_0 true _let_241 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp12 false tptp.hskp15 false tptp.ndr1_0 true _let_221 true (forall ((X54 $$unsorted)) (or (tptp.c1_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c3_1 X54)))) true _let_240 true (forall ((X42 $$unsorted)) (or (tptp.c1_1 X42) (tptp.c2_1 X42) (not (tptp.c0_1 X42)))) false _let_219 true _let_223 true _let_176 true _let_239 true _let_238 true _let_181 true _let_237 true _let_236 true _let_180 false _let_235 true _let_233 true _let_91 false _let_93 false _let_94 false _let_64 false _let_95 false _let_66 false tptp.hskp11 false tptp.ndr1_0 true tptp.hskp12 false tptp.hskp16 false tptp.ndr1_0 true _let_230 true _let_229 true _let_228 true _let_227 true _let_226 false _let_224 false _let_218 false _let_214 false _let_215 false _let_213 false _let_206 false _let_208 false _let_212 false tptp.ndr1_0 true _let_211 true _let_210 true _let_205 true (forall ((X43 $$unsorted)) (or (not (tptp.c0_1 X43)) (not (tptp.c1_1 X43)) (not (tptp.c3_1 X43)))))) (AND_ELIM _let_204 :args (24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_22 _let_20 _let_18 _let_202))) (REORDERING (CNF_AND_POS :args (_let_24 3)) :args ((or _let_19 _let_203))) (REORDERING (CNF_AND_POS :args (_let_24 2)) :args ((or _let_21 _let_203))) (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_23 _let_203))) :args ((or _let_203 _let_202) true _let_18 true _let_20 true _let_22)) _let_201 _let_200 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_199 :args (tptp.a959 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_198)) :args _let_197)) :args (_let_196 false _let_2 false _let_3 false _let_4 false tptp.hskp30 false tptp.ndr1_0 true _let_195 true _let_194 true _let_193 false _let_123 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp11 true _let_95 true _let_190 true _let_189 false _let_165 true _let_186 true _let_164 true _let_166 true _let_187 true _let_185 true _let_184 false _let_36 false tptp.hskp21 true tptp.hskp12 true tptp.hskp13 true _let_84 false _let_183 false _let_181 false _let_177 false _let_176 false _let_175 false tptp.ndr1_0 true tptp.hskp12 false _let_174 false tptp.ndr1_0 true tptp.hskp28 true _let_8 false _let_173 false _let_162 true tptp.hskp24 true _let_24 false _let_169 false _let_167 false _let_163)))) (let ((_let_810 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1))))) (let ((_let_811 (MACRO_RESOLUTION_TRUST _let_757 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_756 _let_754 _let_753 _let_752 :args ((or _let_751 _let_755) false _let_9 false _let_10 false _let_11)) (MACRO_RESOLUTION_TRUST _let_749 (MACRO_RESOLUTION_TRUST _let_452 _let_455 _let_732 _let_456 _let_733 _let_365 _let_457 _let_365 (MACRO_RESOLUTION_TRUST _let_347 _let_809 :args ((not _let_331) true _let_161)) _let_458 _let_567 _let_461 _let_563 _let_463 _let_552 (AND_ELIM _let_204 :args (64)) _let_365 _let_786 (AND_ELIM _let_204 :args (33)) _let_365 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_161 (= U X1)))) _let_809 :args ((not _let_810) true _let_161)) :args (tptp.hskp27 true _let_340 false _let_245 false _let_147 false _let_341 false tptp.ndr1_0 false tptp.hskp2 false tptp.ndr1_0 true _let_331 true tptp.hskp1 true tptp.hskp23 true _let_152 true _let_29 false _let_272 false _let_486 false _let_273 false tptp.ndr1_0 true _let_259 false _let_484 false tptp.ndr1_0 true _let_810)) :args (_let_12 false tptp.hskp27)) :args (_let_755 false _let_12)) :args ((not _let_227) true _let_748)))) (let ((_let_812 (MACRO_RESOLUTION_TRUST _let_791 (MACRO_RESOLUTION_TRUST _let_790 _let_365 _let_789 (MACRO_RESOLUTION_TRUST _let_788 _let_811 :args ((not _let_228) true _let_227)) :args (tptp.hskp16 false tptp.ndr1_0 true _let_230 true _let_228)) :args (_let_66 false tptp.hskp16)))) (let ((_let_813 (MACRO_RESOLUTION_TRUST _let_796 (MACRO_RESOLUTION_TRUST _let_795 (MACRO_RESOLUTION_TRUST _let_793 _let_812 :args (_let_64 false _let_66)) _let_812 :args (_let_794 false _let_64 false _let_66)) :args (_let_798 true _let_233)))) (let ((_let_814 (MACRO_RESOLUTION_TRUST _let_346 _let_809 :args ((not _let_330) true _let_161)))) (let ((_let_815 (MACRO_RESOLUTION_TRUST _let_800 _let_813 :args (_let_797 true _let_236)))) (let ((_let_816 (MACRO_RESOLUTION_TRUST _let_802 _let_815 :args (_let_219 true _let_238)))) (let ((_let_817 (MACRO_RESOLUTION_TRUST _let_801 _let_815 :args ((not _let_223) true _let_238)))) (let ((_let_818 (MACRO_RESOLUTION_TRUST _let_514 _let_365 (MACRO_RESOLUTION_TRUST _let_447 _let_809 :args ((not _let_296) true _let_161)) (MACRO_RESOLUTION_TRUST _let_806 (MACRO_RESOLUTION_TRUST _let_805 _let_817 _let_816 (MACRO_RESOLUTION_TRUST _let_803 _let_817 _let_816 (MACRO_RESOLUTION_TRUST _let_787 (MACRO_RESOLUTION_TRUST _let_366 _let_365 _let_814 _let_813 :args (_let_213 false tptp.ndr1_0 true _let_330 true _let_236)) :args (_let_224 false _let_213)) :args (_let_222 true _let_223 false _let_219 false _let_224)) :args (_let_804 true _let_223 false _let_219 true _let_221)) :args ((not _let_177) true _let_242)) :args (_let_263 false tptp.ndr1_0 true _let_296 true _let_177)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_722 (MACRO_RESOLUTION_TRUST _let_371 (MACRO_RESOLUTION_TRUST _let_370 _let_814 (MACRO_RESOLUTION_TRUST _let_325 _let_818 :args (_let_307 false _let_263)) :args (_let_350 true _let_330 false _let_307)) :args (_let_129 true _let_128)) (MACRO_RESOLUTION_TRUST _let_329 (MACRO_RESOLUTION_TRUST _let_328 (MACRO_RESOLUTION_TRUST _let_323 _let_818 :args (_let_302 false _let_263)) :args (_let_327 false _let_302)) :args (_let_43 true _let_42)) (MACRO_RESOLUTION_TRUST _let_638 (MACRO_RESOLUTION_TRUST _let_641 (MACRO_RESOLUTION_TRUST _let_642 (MACRO_RESOLUTION_TRUST _let_643 _let_365 (MACRO_RESOLUTION_TRUST _let_644 (MACRO_RESOLUTION_TRUST _let_774 (MACRO_RESOLUTION_TRUST _let_808 (MACRO_RESOLUTION_TRUST _let_760 (MACRO_RESOLUTION_TRUST _let_759 _let_729 _let_365 (MACRO_RESOLUTION_TRUST _let_758 _let_811 :args ((not _let_229) true _let_227)) :args (tptp.hskp11 true tptp.hskp12 false tptp.ndr1_0 true _let_229)) :args (_let_95 false tptp.hskp11)) :args (_let_771 false _let_95)) :args ((not _let_176) true _let_181)) :args ((not _let_174) true _let_176)) :args (tptp.hskp28 false tptp.ndr1_0 true _let_174)) :args (_let_8 false tptp.hskp28)) :args (_let_639 false _let_8)) :args (_let_256 true _let_173)) _let_809 :args (false true tptp.hskp5 true tptp.hskp20 true _let_162 true _let_161)) :args (_let_160 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.75 )
% 0.53/0.75 % SZS output end Proof for SYN455+1
% 0.53/0.75 % cvc5---1.0.5 exiting
% 0.53/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------