TSTP Solution File: SYN482+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN482+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 02:03:34 EDT 2023
% Result : Theorem 0.22s 0.81s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN482+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 18:17:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.81 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oUXCpL3a9s/cvc5---1.0.5_22266.p...
% 0.22/0.81 ------- get file name : TPTP file name is SYN482+1
% 0.22/0.81 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22266.smt2...
% 0.22/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.81 % SZS status Theorem for SYN482+1
% 0.22/0.81 % SZS output start Proof for SYN482+1
% 0.22/0.81 (
% 0.22/0.81 (let ((_let_1 (tptp.c3_1 tptp.a1823))) (let ((_let_2 (tptp.c2_1 tptp.a1823))) (let ((_let_3 (tptp.c1_1 tptp.a1823))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a1805))) (let ((_let_6 (tptp.c2_1 tptp.a1805))) (let ((_let_7 (tptp.c0_1 tptp.a1805))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c2_1 tptp.a1795))) (let ((_let_10 (tptp.c1_1 tptp.a1795))) (let ((_let_11 (tptp.c0_1 tptp.a1795))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c3_1 tptp.a1756))) (let ((_let_14 (tptp.c1_1 tptp.a1756))) (let ((_let_15 (tptp.c0_1 tptp.a1756))) (let ((_let_16 (and tptp.ndr1_0 _let_15 _let_14 _let_13))) (let ((_let_17 (not tptp.hskp27))) (let ((_let_18 (tptp.c2_1 tptp.a1845))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a1845))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c3_1 tptp.a1845))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_19))) (let ((_let_24 (tptp.c2_1 tptp.a1827))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c1_1 tptp.a1827))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c0_1 tptp.a1827))) (let ((_let_29 (not _let_28))) (let ((_let_30 (and tptp.ndr1_0 _let_29 _let_27 _let_25))) (let ((_let_31 (tptp.c3_1 tptp.a1807))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c1_1 tptp.a1807))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c0_1 tptp.a1807))) (let ((_let_36 (not _let_35))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_34 _let_32))) (let ((_let_38 (tptp.c2_1 tptp.a1799))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c0_1 tptp.a1799))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.c3_1 tptp.a1799))) (let ((_let_43 (and tptp.ndr1_0 _let_42 _let_41 _let_39))) (let ((_let_44 (tptp.c3_1 tptp.a1788))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c2_1 tptp.a1788))) (let ((_let_47 (tptp.c0_1 tptp.a1788))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_45))) (let ((_let_49 (tptp.c0_1 tptp.a1783))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c3_1 tptp.a1783))) (let ((_let_52 (tptp.c1_1 tptp.a1783))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_50))) (let ((_let_54 (not tptp.hskp19))) (let ((_let_55 (tptp.c3_1 tptp.a1782))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c2_1 tptp.a1782))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.c1_1 tptp.a1782))) (let ((_let_60 (not _let_59))) (let ((_let_61 (and tptp.ndr1_0 _let_60 _let_58 _let_56))) (let ((_let_62 (tptp.c1_1 tptp.a1781))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c3_1 tptp.a1781))) (let ((_let_65 (tptp.c2_1 tptp.a1781))) (let ((_let_66 (and tptp.ndr1_0 _let_65 _let_64 _let_63))) (let ((_let_67 (tptp.c2_1 tptp.a1780))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c3_1 tptp.a1780))) (let ((_let_70 (tptp.c1_1 tptp.a1780))) (let ((_let_71 (and tptp.ndr1_0 _let_70 _let_69 _let_68))) (let ((_let_72 (not tptp.hskp16))) (let ((_let_73 (tptp.c0_1 tptp.a1777))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c2_1 tptp.a1777))) (let ((_let_76 (and tptp.ndr1_0 _let_75 _let_74 (not (tptp.c3_1 tptp.a1777))))) (let ((_let_77 (not tptp.hskp14))) (let ((_let_78 (tptp.c0_1 tptp.a1771))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c2_1 tptp.a1771))) (let ((_let_81 (tptp.c1_1 tptp.a1771))) (let ((_let_82 (and tptp.ndr1_0 _let_81 _let_80 _let_79))) (let ((_let_83 (not tptp.hskp13))) (let ((_let_84 (tptp.c3_1 tptp.a1770))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.c0_1 tptp.a1770))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c1_1 tptp.a1770))) (let ((_let_89 (and tptp.ndr1_0 _let_88 _let_87 _let_85))) (let ((_let_90 (tptp.c2_1 tptp.a1768))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c3_1 tptp.a1768))) (let ((_let_93 (tptp.c0_1 tptp.a1768))) (let ((_let_94 (and tptp.ndr1_0 _let_93 _let_92 _let_91))) (let ((_let_95 (tptp.c1_1 tptp.a1767))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c0_1 tptp.a1767))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c3_1 tptp.a1767))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_98 _let_96))) (let ((_let_101 (tptp.c1_1 tptp.a1765))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c2_1 tptp.a1765))) (let ((_let_104 (tptp.c0_1 tptp.a1765))) (let ((_let_105 (and tptp.ndr1_0 _let_104 _let_103 _let_102))) (let ((_let_106 (tptp.c1_1 tptp.a1763))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.c3_1 tptp.a1763))) (let ((_let_109 (tptp.c0_1 tptp.a1763))) (let ((_let_110 (and tptp.ndr1_0 _let_109 _let_108 _let_107))) (let ((_let_111 (tptp.c0_1 tptp.a1762))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.c3_1 tptp.a1762))) (let ((_let_114 (tptp.c2_1 tptp.a1762))) (let ((_let_115 (and tptp.ndr1_0 _let_114 _let_113 _let_112))) (let ((_let_116 (not tptp.hskp6))) (let ((_let_117 (tptp.c3_1 tptp.a1760))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c2_1 tptp.a1760))) (let ((_let_120 (not _let_119))) (let ((_let_121 (tptp.c0_1 tptp.a1760))) (let ((_let_122 (not _let_121))) (let ((_let_123 (and tptp.ndr1_0 _let_122 _let_120 _let_118))) (let ((_let_124 (tptp.c2_1 tptp.a1759))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.c1_1 tptp.a1759))) (let ((_let_127 (and tptp.ndr1_0 _let_126 _let_125 (not (tptp.c3_1 tptp.a1759))))) (let ((_let_128 (tptp.c3_1 tptp.a1758))) (let ((_let_129 (not _let_128))) (let ((_let_130 (tptp.c2_1 tptp.a1758))) (let ((_let_131 (tptp.c1_1 tptp.a1758))) (let ((_let_132 (and tptp.ndr1_0 _let_131 _let_130 _let_129))) (let ((_let_133 (tptp.c2_1 tptp.a1757))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.c1_1 tptp.a1757))) (let ((_let_136 (tptp.c0_1 tptp.a1757))) (let ((_let_137 (and tptp.ndr1_0 _let_136 _let_135 _let_134))) (let ((_let_138 (not tptp.hskp2))) (let ((_let_139 (tptp.c2_1 tptp.a1755))) (let ((_let_140 (not _let_139))) (let ((_let_141 (tptp.c0_1 tptp.a1755))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.c1_1 tptp.a1755))) (let ((_let_144 (and tptp.ndr1_0 _let_143 _let_142 _let_140))) (let ((_let_145 (not tptp.hskp1))) (let ((_let_146 (tptp.c1_1 tptp.a1754))) (let ((_let_147 (not _let_146))) (let ((_let_148 (tptp.c0_1 tptp.a1754))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.c2_1 tptp.a1754))) (let ((_let_151 (and tptp.ndr1_0 _let_150 _let_149 _let_147))) (let ((_let_152 (not (not (and (or (not tptp.hskp0) _let_151) (or _let_145 _let_144) (or _let_138 _let_137) (or (not tptp.hskp3) _let_132) (or (not tptp.hskp4) _let_127) (or (not tptp.hskp5) _let_123) (or _let_116 _let_115) (or (not tptp.hskp7) _let_110) (or (not tptp.hskp8) _let_105) (or (not tptp.hskp9) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1766) (not (tptp.c1_1 tptp.a1766)) (not (tptp.c2_1 tptp.a1766)))) (or (not tptp.hskp10) _let_100) (or (not tptp.hskp11) _let_94) (or (not tptp.hskp12) _let_89) (or _let_83 _let_82) (or _let_77 _let_76) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1779) (not (tptp.c2_1 tptp.a1779)) (not (tptp.c3_1 tptp.a1779)))) (or _let_72 _let_71) (or (not tptp.hskp17) _let_66) (or (not tptp.hskp18) _let_61) (or _let_54 _let_53) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1786) (tptp.c1_1 tptp.a1786) (not (tptp.c3_1 tptp.a1786)))) (or (not tptp.hskp21) _let_48) (or (not tptp.hskp22) _let_43) (or (not tptp.hskp23) _let_37) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1809) (not (tptp.c1_1 tptp.a1809)) (not (tptp.c3_1 tptp.a1809)))) (or (not tptp.hskp25) _let_30) (or (not tptp.hskp26) _let_23) (or _let_17 _let_16) (or (not tptp.hskp28) _let_12) (or (not tptp.hskp29) _let_8) (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))))) 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 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c3_1 Y)))) tptp.hskp27 tptp.hskp2) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c3_1 Z)))) tptp.hskp3 tptp.hskp4) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (not (tptp.c2_1 X1))))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X2) (tptp.c2_1 X2) (not (tptp.c0_1 X2))))) tptp.hskp5) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) tptp.hskp4 tptp.hskp6) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (not (tptp.c3_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c2_1 X5) (not (tptp.c1_1 X5))))) tptp.hskp7) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c3_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c2_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X8) (not (tptp.c0_1 X8)) (not (tptp.c2_1 X8)))))) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c3_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c1_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X11)) (not (tptp.c1_1 X11)) (not (tptp.c2_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c3_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14)))))) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c3_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X16)) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16))))) tptp.hskp6) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c3_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X18)) (not (tptp.c2_1 X18)) (not (tptp.c3_1 X18))))) tptp.hskp8) (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.c1_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20)))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21)) (not (tptp.c3_1 X21)))))) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c2_1 X22) (tptp.c3_1 X22)))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X23) (tptp.c2_1 X23) (not (tptp.c0_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X24)) (not (tptp.c2_1 X24)) (not (tptp.c3_1 X24)))))) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (tptp.c3_1 X25)))) tptp.hskp9 tptp.hskp10) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c1_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X27) (not (tptp.c0_1 X27)) (not (tptp.c3_1 X27))))) tptp.hskp11) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c1_1 X28))))) tptp.hskp27 tptp.hskp12) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30))))) tptp.hskp13) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c3_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X32) (tptp.c2_1 X32) (tptp.c3_1 X32)))) tptp.hskp2) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X34) (tptp.c2_1 X34) (tptp.c3_1 X34)))) tptp.hskp13) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c2_1 X35) (not (tptp.c3_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X36) (tptp.c2_1 X36) (not (tptp.c0_1 X36))))) tptp.hskp27) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c2_1 X37) (not (tptp.c3_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (tptp.c3_1 X38) (not (tptp.c0_1 X38))))) tptp.hskp10) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X40) (not (tptp.c0_1 X40)) (not (tptp.c3_1 X40))))) tptp.hskp10) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X42) (not (tptp.c0_1 X42)) (not (tptp.c2_1 X42))))) tptp.hskp14) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44)) (not (tptp.c3_1 X44))))) tptp.hskp3) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c2_1 X45) (not (tptp.c3_1 X45))))) tptp.hskp15 tptp.hskp16) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) tptp.hskp17) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c1_1 X49))))) tptp.hskp18) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (tptp.c3_1 X50) (not (tptp.c1_1 X50))))) tptp.hskp19 tptp.hskp6) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (tptp.c3_1 X51) (not (tptp.c2_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c3_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (not (tptp.c2_1 X53)) (not (tptp.c3_1 X53)))))) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X54) (tptp.c3_1 X54) (not (tptp.c2_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (not (tptp.c0_1 X55)) (not (tptp.c3_1 X55))))) tptp.hskp11) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (tptp.c3_1 X56) (not (tptp.c2_1 X56))))) tptp.hskp20 tptp.hskp6) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c2_1 X58))))) tptp.hskp21) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (not (tptp.c1_1 X59)) (not (tptp.c2_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X60)) (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60))))) tptp.hskp27) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X61) (not (tptp.c1_1 X61)) (not (tptp.c2_1 X61))))) tptp.hskp13) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c2_1 X62))))) tptp.hskp3 tptp.hskp6) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X63) (not (tptp.c1_1 X63)) (not (tptp.c3_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X65) (not (tptp.c0_1 X65)) (not (tptp.c1_1 X65)))))) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c1_1 X67))))) tptp.hskp3) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X68) (not (tptp.c1_1 X68)) (not (tptp.c3_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X69)) (not (tptp.c2_1 X69)) (not (tptp.c3_1 X69))))) tptp.hskp17) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X70) (not (tptp.c1_1 X70)) (not (tptp.c3_1 X70))))) tptp.hskp28 tptp.hskp1) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c2_1 X72) (not (tptp.c0_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X73)) (not (tptp.c2_1 X73)) (not (tptp.c3_1 X73)))))) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76)))))) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X78)) (not (tptp.c2_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp16) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X79) (not (tptp.c2_1 X79)) (not (tptp.c3_1 X79))))) tptp.hskp27 tptp.hskp22) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X80) (not (tptp.c2_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp20 tptp.hskp8) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X81) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp8 tptp.hskp4) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c2_1 X82) (tptp.c3_1 X82)))) tptp.hskp11) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (tptp.c2_1 X83) (not (tptp.c3_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c0_1 X84))))) tptp.hskp29) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (tptp.c2_1 X85) (not (tptp.c3_1 X85))))) (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp0) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (tptp.c3_1 X87) (not (tptp.c0_1 X87))))) (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X88) (not (tptp.c0_1 X88)) (not (tptp.c1_1 X88))))) tptp.hskp23) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (tptp.c3_1 X89) (not (tptp.c0_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c2_1 X90))))) tptp.hskp2) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (tptp.c3_1 X91) (not (tptp.c0_1 X91))))) (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X92)) (not (tptp.c2_1 X92)) (not (tptp.c3_1 X92))))) tptp.hskp24) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (tptp.c3_1 X93) (not (tptp.c2_1 X93))))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (tptp.c3_1 X94) (not (tptp.c0_1 X94))))) tptp.hskp15) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X95) (tptp.c3_1 X95) (not (tptp.c2_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X96) (not (tptp.c1_1 X96)) (not (tptp.c3_1 X96))))) tptp.hskp23) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X97) (tptp.c3_1 X97) (not (tptp.c2_1 X97))))) (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X98) (not (tptp.c0_1 X98)) (not (tptp.c1_1 X98))))) tptp.hskp15) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X99) (tptp.c3_1 X99) (not (tptp.c2_1 X99))))) (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c2_1 X100))))) tptp.hskp22) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X101) (tptp.c3_1 X101) (not (tptp.c2_1 X101))))) (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X102)) (not (tptp.c2_1 X102)) (not (tptp.c3_1 X102))))) tptp.hskp18) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c2_1 X103))))) (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c1_1 X104))))) (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X105)) (not (tptp.c1_1 X105)) (not (tptp.c2_1 X105)))))) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c3_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X107)) (not (tptp.c1_1 X107)) (not (tptp.c2_1 X107))))) tptp.hskp5) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X108) (tptp.c3_1 X108) (not (tptp.c0_1 X108))))) (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X109)) (not (tptp.c2_1 X109)) (not (tptp.c3_1 X109))))) tptp.hskp18) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X110) (tptp.c3_1 X110) (not (tptp.c0_1 X110))))) tptp.hskp15 tptp.hskp17) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c1_1 X111))))) tptp.hskp13 tptp.hskp19) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X112) (not (tptp.c1_1 X112)) (not (tptp.c3_1 X112))))) (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X113)) (not (tptp.c1_1 X113)) (not (tptp.c2_1 X113))))) tptp.hskp28) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X114) (not (tptp.c0_1 X114)) (not (tptp.c1_1 X114))))) (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X115)) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115))))) (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X116)) (not (tptp.c2_1 X116)) (not (tptp.c3_1 X116)))))) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X117) (not (tptp.c1_1 X117)) (not (tptp.c2_1 X117))))) tptp.hskp29 tptp.hskp30) (or (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X118) (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118))))) tptp.hskp24 tptp.hskp16) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X119) (not (tptp.c1_1 X119)) (not (tptp.c2_1 X119))))) tptp.hskp3 tptp.hskp25) (or (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X120)) (not (tptp.c1_1 X120)) (not (tptp.c2_1 X120))))) tptp.hskp29 tptp.hskp4) (or (forall ((X121 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X121)) (not (tptp.c1_1 X121)) (not (tptp.c3_1 X121))))) tptp.hskp23 tptp.hskp5) (or (forall ((X122 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X122)) (not (tptp.c2_1 X122)) (not (tptp.c3_1 X122))))) tptp.hskp16 tptp.hskp22) (or tptp.hskp28 tptp.hskp1 tptp.hskp4) (or tptp.hskp2 tptp.hskp8 tptp.hskp14) (or tptp.hskp2 tptp.hskp4 tptp.hskp25) (or tptp.hskp20 tptp.hskp10 tptp.hskp26) (or tptp.hskp11 tptp.hskp0 tptp.hskp26) (or tptp.hskp15 tptp.hskp10 tptp.hskp22)))))) (let ((_let_153 (forall ((X49 $$unsorted)) (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c1_1 X49)))))) (let ((_let_154 (not _let_126))) (let ((_let_155 (tptp.c0_1 tptp.a1759))) (let ((_let_156 (not _let_155))) (let ((_let_157 (or _let_124 _let_156 _let_154))) (let ((_let_158 (forall ((X111 $$unsorted)) (or (tptp.c2_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c1_1 X111)))))) (let ((_let_159 (tptp.c3_1 tptp.a1771))) (let ((_let_160 (not _let_159))) (let ((_let_161 (not _let_80))) (let ((_let_162 (not _let_81))) (let ((_let_163 (or _let_162 _let_161 _let_160))) (let ((_let_164 (forall ((X14 $$unsorted)) (or (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14)))))) (let ((_let_165 (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c1_1 X4) (not (tptp.c3_1 X4)))))) (let ((_let_166 (not _let_42))) (let ((_let_167 (tptp.c1_1 tptp.a1799))) (let ((_let_168 (or _let_40 _let_167 _let_166))) (let ((_let_169 (not _let_167))) (let ((_let_170 (or _let_38 _let_169 _let_166))) (let ((_let_171 (forall ((X6 $$unsorted)) (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c3_1 X6)))))) (let ((_let_172 (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c3_1 X12)))))) (let ((_let_173 (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c3_1 X17)))))) (let ((_let_174 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X4 X6)))))) (let ((_let_175 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X4 X12)))))) (let ((_let_176 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X4 X17)))))) (let ((_let_177 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_178 (not _let_177))) (let ((_let_179 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_180 (not _let_179))) (let ((_let_181 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_182 (not _let_181))) (let ((_let_183 (or _let_182 _let_180 _let_178))) (let ((_let_184 (or))) (let ((_let_185 (not _let_164))) (let ((_let_186 (_let_185))) (let ((_let_187 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_186)) :args _let_186)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_185) _let_164))) (REFL :args ((not _let_183))) :args _let_184)))) (let ((_let_188 (forall ((X13 $$unsorted)) (or (not (tptp.c0_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13)))))) (let ((_let_189 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_190 (not _let_189))) (let ((_let_191 (or _let_190 _let_180 _let_178))) (let ((_let_192 (or _let_189 _let_182 _let_180))) (let ((_let_193 (not _let_103))) (let ((_let_194 (not _let_104))) (let ((_let_195 (or _let_101 _let_194 _let_193))) (let ((_let_196 (forall ((X7 $$unsorted)) (or (tptp.c0_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c2_1 X7)))))) (let ((_let_197 (forall ((X8 $$unsorted)) (or (tptp.c1_1 X8) (not (tptp.c0_1 X8)) (not (tptp.c2_1 X8)))))) (let ((_let_198 (not _let_144))) (let ((_let_199 (not _let_127))) (let ((_let_200 (not _let_12))) (let ((_let_201 (EQ_RESOLVE (ASSUME :args (_let_152)) (MACRO_SR_EQ_INTRO :args (_let_152 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_202 (AND_ELIM _let_201 :args (1)))) (let ((_let_203 (AND_ELIM _let_201 :args (4)))) (let ((_let_204 (AND_ELIM _let_201 :args (28)))) (let ((_let_205 (REORDERING (AND_ELIM _let_201 :args (101)) :args ((or tptp.hskp1 tptp.hskp4 tptp.hskp28))))) (let ((_let_206 (MACRO_RESOLUTION_TRUST _let_205 _let_204 _let_203 _let_202 (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or tptp.ndr1_0 _let_200))) (REORDERING (CNF_AND_POS :args (_let_127 0)) :args ((or tptp.ndr1_0 _let_199))) (REORDERING (CNF_AND_POS :args (_let_144 0)) :args ((or tptp.ndr1_0 _let_198))) :args (tptp.ndr1_0 true tptp.hskp28 true tptp.hskp4 true tptp.hskp1 true _let_12 true _let_127 true _let_144)))) (let ((_let_207 (REFL :args (_let_183)))) (let ((_let_208 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_183 0)) (CONG _let_207 (MACRO_SR_PRED_INTRO :args ((= (not _let_182) _let_181))) :args _let_184)) :args ((or _let_181 _let_183))))) (let ((_let_209 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_183 1)) (CONG _let_207 (MACRO_SR_PRED_INTRO :args ((= (not _let_180) _let_179))) :args _let_184)) :args ((or _let_179 _let_183))))) (let ((_let_210 (_let_188))) (let ((_let_211 ((not (= (tptp.c2_1 X13) false))))) (let ((_let_212 (ASSUME :args _let_210))) (let ((_let_213 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)))) (let ((_let_214 (AND_ELIM _let_201 :args (8)))) (let ((_let_215 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_180 _let_178 _let_190 (not _let_191)))))) (let ((_let_216 (not _let_105))) (let ((_let_217 (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_104 _let_216))))) (let ((_let_218 (REORDERING (CNF_AND_POS :args (_let_105 2)) :args ((or _let_103 _let_216))))) (let ((_let_219 (REORDERING (CNF_AND_POS :args (_let_105 3)) :args ((or _let_102 _let_216))))) (let ((_let_220 (not _let_192))) (let ((_let_221 (REORDERING (CNF_OR_POS :args (_let_192)) :args ((or _let_182 _let_180 _let_189 _let_220))))) (let ((_let_222 (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_101 _let_194 _let_193 (not _let_195)))))) (let ((_let_223 (_let_196))) (let ((_let_224 ((not (= (tptp.c1_1 X7) false))))) (let ((_let_225 (ASSUME :args _let_223))) (let ((_let_226 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_224)) :args _let_223)))) (let ((_let_227 (_let_197))) (let ((_let_228 ((not (= (tptp.c1_1 X8) true))))) (let ((_let_229 (ASSUME :args _let_227))) (let ((_let_230 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (tptp.a1765 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)))) (let ((_let_231 (AND_ELIM _let_201 :args (38)))) (let ((_let_232 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_183 2)) (CONG _let_207 (MACRO_SR_PRED_INTRO :args ((= (not _let_178) _let_177))) :args _let_184)) :args ((or _let_177 _let_183))))) (let ((_let_233 (MACRO_RESOLUTION_TRUST _let_232 (MACRO_RESOLUTION_TRUST _let_231 _let_206 _let_230 _let_226 _let_222 _let_221 _let_219 _let_218 _let_217 _let_215 _let_214 _let_213 _let_209 _let_208 (AND_ELIM _let_201 :args (42)) _let_206 (AND_ELIM _let_201 :args (40)) _let_206 _let_187 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X18)))) :args ((or _let_171 _let_172 _let_164 _let_173 _let_178) false tptp.ndr1_0 true _let_197 true _let_196 true _let_195 true _let_192 true _let_101 false _let_103 false _let_104 true _let_189 false _let_105 false _let_191 false _let_179 false _let_181 false tptp.hskp8 false tptp.ndr1_0 false _let_188 false tptp.ndr1_0 true _let_183 true (forall ((X18 $$unsorted)) (or (not (tptp.c1_1 X18)) (not (tptp.c2_1 X18)) (not (tptp.c3_1 X18)))))) _let_187 :args ((or _let_171 _let_172 _let_164 _let_173) true _let_177 true _let_183)))) (let ((_let_234 (MACRO_RESOLUTION_TRUST _let_233 _let_176 _let_175 _let_174 :args ((or _let_165 _let_164) true _let_173 true _let_172 true _let_171)))) (let ((_let_235 (not _let_69))) (let ((_let_236 (not _let_70))) (let ((_let_237 (or _let_67 _let_236 _let_235))) (let ((_let_238 (not _let_71))) (let ((_let_239 (forall ((X96 $$unsorted)) (or (tptp.c2_1 X96) (not (tptp.c1_1 X96)) (not (tptp.c3_1 X96)))))) (let ((_let_240 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_241 (not _let_240))) (let ((_let_242 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_243 (not _let_242))) (let ((_let_244 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_245 (or _let_244 _let_243 _let_241))) (let ((_let_246 (forall ((X63 $$unsorted)) (or (tptp.c0_1 X63) (not (tptp.c1_1 X63)) (not (tptp.c3_1 X63)))))) (let ((_let_247 (not _let_135))) (let ((_let_248 (not _let_136))) (let ((_let_249 (or _let_133 _let_248 _let_247))) (let ((_let_250 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_251 (not _let_250))) (let ((_let_252 (or _let_244 _let_251 _let_243))) (let ((_let_253 (or _let_250 _let_244 _let_241))) (let ((_let_254 (or _let_250 _let_244 _let_243))) (let ((_let_255 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (not (tptp.c3_1 V)))))) (let ((_let_256 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c2_1 X5) (not (tptp.c1_1 X5)))))) (let ((_let_257 (forall ((X31 $$unsorted)) (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c3_1 X31)))))) (let ((_let_258 (forall ((X39 $$unsorted)) (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39)))))) (let ((_let_259 (forall ((X32 $$unsorted)) (or (tptp.c1_1 X32) (tptp.c2_1 X32) (tptp.c3_1 X32))))) (let ((_let_260 (forall ((X20 $$unsorted)) (or (tptp.c1_1 X20) (tptp.c2_1 X20) (tptp.c3_1 X20))))) (let ((_let_261 (or _let_59 _let_57 _let_55))) (let ((_let_262 (forall ((X102 $$unsorted)) (or (not (tptp.c1_1 X102)) (not (tptp.c2_1 X102)) (not (tptp.c3_1 X102)))))) (let ((_let_263 (forall ((X101 $$unsorted)) (or (tptp.c1_1 X101) (tptp.c3_1 X101) (not (tptp.c2_1 X101)))))) (let ((_let_264 (not _let_99))) (let ((_let_265 (or _let_97 _let_95 _let_264))) (let ((_let_266 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_267 (not _let_266))) (let ((_let_268 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_269 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_270 (or _let_269 _let_268 _let_267))) (let ((_let_271 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_272 (not _let_271))) (let ((_let_273 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_274 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_275 (or _let_274 _let_273 _let_272))) (let ((_let_276 (forall ((X $$unsorted)) (or (tptp.c1_1 X) (tptp.c3_1 X) (not (tptp.c2_1 X)))))) (let ((_let_277 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_278 (not _let_277))) (let ((_let_279 (or _let_268 _let_266 _let_278))) (let ((_let_280 (or _let_269 _let_268 _let_278))) (let ((_let_281 (forall ((X40 $$unsorted)) (or (tptp.c2_1 X40) (not (tptp.c0_1 X40)) (not (tptp.c3_1 X40)))))) (let ((_let_282 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (tptp.c1_1 X1) (not (tptp.c2_1 X1)))))) (let ((_let_283 (not _let_92))) (let ((_let_284 (not _let_93))) (let ((_let_285 (or _let_90 _let_284 _let_283))) (let ((_let_286 (not _let_150))) (let ((_let_287 (or _let_148 _let_146 _let_286))) (let ((_let_288 (forall ((X27 $$unsorted)) (or (tptp.c1_1 X27) (not (tptp.c0_1 X27)) (not (tptp.c3_1 X27)))))) (let ((_let_289 (not _let_274))) (let ((_let_290 (or _let_273 _let_289 _let_272))) (let ((_let_291 (not _let_22))) (let ((_let_292 (or _let_20 _let_18 _let_291))) (let ((_let_293 (forall ((X75 $$unsorted)) (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c3_1 X75)))))) (let ((_let_294 (or _let_273 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) _let_272))) (let ((_let_295 (not _let_239))) (let ((_let_296 (_let_295))) (let ((_let_297 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_296)) :args _let_296)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_295) _let_239))) (REFL :args ((not _let_245))) :args _let_184)))) (let ((_let_298 (CNF_OR_NEG :args (_let_245 0)))) (let ((_let_299 (REFL :args (_let_245)))) (let ((_let_300 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_245 1)) (CONG _let_299 (MACRO_SR_PRED_INTRO :args ((= (not _let_243) _let_242))) :args _let_184)) :args ((or _let_242 _let_245))))) (let ((_let_301 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_245 2)) (CONG _let_299 (MACRO_SR_PRED_INTRO :args ((= (not _let_241) _let_240))) :args _let_184)) :args ((or _let_240 _let_245))))) (let ((_let_302 (not _let_113))) (let ((_let_303 (tptp.c1_1 tptp.a1762))) (let ((_let_304 (not _let_303))) (let ((_let_305 (or _let_111 _let_304 _let_302))) (let ((_let_306 (or _let_78 _let_162 _let_160))) (let ((_let_307 (not _let_51))) (let ((_let_308 (not _let_52))) (let ((_let_309 (or _let_49 _let_308 _let_307))) (let ((_let_310 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_311 (not _let_310))) (let ((_let_312 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_313 (not _let_312))) (let ((_let_314 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_315 (or _let_314 _let_313 _let_311))) (let ((_let_316 (not _let_114))) (let ((_let_317 (or _let_111 _let_316 _let_302))) (let ((_let_318 (forall ((X71 $$unsorted)) (or (tptp.c0_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71)))))) (let ((_let_319 (or _let_111 _let_303 _let_302))) (let ((_let_320 (or _let_303 _let_316 _let_302))) (let ((_let_321 (forall ((X74 $$unsorted)) (or (tptp.c0_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74)))))) (let ((_let_322 (forall ((X47 $$unsorted)) (or (tptp.c1_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47)))))) (let ((_let_323 (forall ((X76 $$unsorted)) (or (tptp.c1_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76)))))) (let ((_let_324 (not _let_5))) (let ((_let_325 (not _let_6))) (let ((_let_326 (tptp.c1_1 tptp.a1805))) (let ((_let_327 (not _let_326))) (let ((_let_328 (or _let_327 _let_325 _let_324))) (let ((_let_329 (not _let_1))) (let ((_let_330 (not _let_2))) (let ((_let_331 (not _let_3))) (let ((_let_332 (or _let_331 _let_330 _let_329))) (let ((_let_333 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_334 (or _let_312 _let_333 _let_311))) (let ((_let_335 (or _let_314 _let_333 _let_311))) (let ((_let_336 (or _let_78 _let_162 _let_161))) (let ((_let_337 (or _let_159 _let_162 _let_161))) (let ((_let_338 (forall ((X100 $$unsorted)) (or (tptp.c3_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c2_1 X100)))))) (let ((_let_339 (not _let_7))) (let ((_let_340 (or _let_326 _let_339 _let_325))) (let ((_let_341 (forall ((X117 $$unsorted)) (or (tptp.c3_1 X117) (not (tptp.c1_1 X117)) (not (tptp.c2_1 X117)))))) (let ((_let_342 (not _let_246))) (let ((_let_343 (_let_246))) (let ((_let_344 ((not (= (tptp.c0_1 X63) true))))) (let ((_let_345 (ASSUME :args _let_343))) (let ((_let_346 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (tptp.a1783 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)))) (let ((_let_347 (not _let_309))) (let ((_let_348 (not _let_53))) (let ((_let_349 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_309)) :args ((or _let_49 _let_308 _let_307 _let_347))) (REORDERING (CNF_AND_POS :args (_let_53 3)) :args ((or _let_50 _let_348))) (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_51 _let_348))) (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_52 _let_348))) :args ((or _let_348 _let_347) true _let_49 false _let_51 false _let_52)))) (let ((_let_350 (AND_ELIM _let_201 :args (19)))) (let ((_let_351 (not _let_315))) (let ((_let_352 (not _let_306))) (let ((_let_353 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_354 (not _let_353))) (let ((_let_355 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_356 (not _let_355))) (let ((_let_357 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_358 (or _let_357 _let_356 _let_354))) (let ((_let_359 (or _let_314 _let_312 _let_311))) (let ((_let_360 (or _let_314 _let_312 _let_333))) (let ((_let_361 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_362 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c3_1 X15)))))) (let ((_let_363 (forall ((X16 $$unsorted)) (or (not (tptp.c0_1 X16)) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16)))))) (let ((_let_364 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_365 (not _let_364))) (let ((_let_366 (not _let_357))) (let ((_let_367 (or _let_356 _let_366 _let_365))) (let ((_let_368 (or _let_356 _let_354 _let_365))) (let ((_let_369 (forall ((X44 $$unsorted)) (or (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44)) (not (tptp.c3_1 X44)))))) (let ((_let_370 (not _let_13))) (let ((_let_371 (not _let_14))) (let ((_let_372 (not _let_15))) (let ((_let_373 (or _let_372 _let_371 _let_370))) (let ((_let_374 (forall ((Y $$unsorted)) (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c3_1 Y))))) (let ((_let_375 (tptp.c3_1 tptp.a1754))) (let ((_let_376 (or _let_148 _let_146 _let_375))) (let ((_let_377 (or _let_269 _let_268 _let_266))) (let ((_let_378 (not _let_375))) (let ((_let_379 (or _let_146 _let_286 _let_378))) (let ((_let_380 (or _let_269 _let_278 _let_267))) (let ((_let_381 (not _let_153))) (let ((_let_382 (_let_153))) (let ((_let_383 ((not (= (tptp.c2_1 X49) true))))) (let ((_let_384 (ASSUME :args _let_382))) (let ((_let_385 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (tptp.a1757 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)))) (let ((_let_386 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)))) (let ((_let_387 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)))) (let ((_let_388 (not _let_249))) (let ((_let_389 (not _let_137))) (let ((_let_390 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_249)) :args ((or _let_133 _let_248 _let_247 _let_388))) (REORDERING (CNF_AND_POS :args (_let_137 3)) :args ((or _let_134 _let_389))) (REORDERING (CNF_AND_POS :args (_let_137 2)) :args ((or _let_135 _let_389))) (REORDERING (CNF_AND_POS :args (_let_137 1)) :args ((or _let_136 _let_389))) :args ((or _let_389 _let_388) true _let_133 false _let_135 false _let_136)))) (let ((_let_391 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_244 _let_243 _let_251 (not _let_252)))))) (let ((_let_392 (AND_ELIM _let_201 :args (2)))) (let ((_let_393 (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_244 _let_241 _let_250 (not _let_253)))))) (let ((_let_394 (_let_255))) (let ((_let_395 (ASSUME :args _let_394))) (let ((_let_396 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 V) true))))) :args _let_394)))) (let ((_let_397 (not _let_255))) (let ((_let_398 (_let_397))) (let ((_let_399 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_398)) :args _let_398)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_397) _let_255))) (REFL :args ((not _let_335))) :args _let_184)))) (let ((_let_400 (CNF_OR_NEG :args (_let_335 0)))) (let ((_let_401 (CNF_OR_NEG :args (_let_335 1)))) (let ((_let_402 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_335 2)) (CONG (REFL :args (_let_335)) (MACRO_SR_PRED_INTRO :args ((= (not _let_311) _let_310))) :args _let_184)) :args ((or _let_310 _let_335))))) (let ((_let_403 (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_314 _let_311 _let_313 _let_351))))) (let ((_let_404 (not _let_334))) (let ((_let_405 (REORDERING (CNF_OR_POS :args (_let_334)) :args ((or _let_333 _let_311 _let_312 _let_404))))) (let ((_let_406 (_let_165))) (let ((_let_407 ((not (= (tptp.c0_1 X4) true))))) (let ((_let_408 (ASSUME :args _let_406))) (let ((_let_409 (_let_293))) (let ((_let_410 ((not (= (tptp.c1_1 X75) true))))) (let ((_let_411 (ASSUME :args _let_409))) (let ((_let_412 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)))) (let ((_let_413 (_let_361))) (let ((_let_414 ((not (= (tptp.c0_1 U) true))))) (let ((_let_415 (ASSUME :args _let_413))) (let ((_let_416 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X4 X15)))))) (let ((_let_417 (AND_ELIM _let_201 :args (41)))) (let ((_let_418 (AND_ELIM _let_201 :args (0)))) (let ((_let_419 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_188 (= X13 X16)))))) (let ((_let_420 (not _let_151))) (let ((_let_421 (REORDERING (CNF_AND_POS :args (_let_151 1)) :args ((or _let_150 _let_420))))) (let ((_let_422 (REORDERING (CNF_AND_POS :args (_let_151 2)) :args ((or _let_149 _let_420))))) (let ((_let_423 (REORDERING (CNF_AND_POS :args (_let_151 3)) :args ((or _let_147 _let_420))))) (let ((_let_424 ((not (= (tptp.c0_1 X13) false))))) (let ((_let_425 (not _let_287))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_287)) :args ((or _let_148 _let_146 _let_286 _let_425))) _let_423 _let_421 :args ((or _let_148 _let_420 _let_425) true _let_146 false _let_150)))) (let ((_let_427 (_let_282))) (let ((_let_428 ((not (= (tptp.c0_1 X1) true))))) (let ((_let_429 (ASSUME :args _let_427))) (let ((_let_430 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (tptp.a1754 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_428)) :args _let_427)))) (let ((_let_431 (not _let_282))) (let ((_let_432 (_let_431))) (let ((_let_433 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_432)) :args _let_432)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_431) _let_282))) (REFL :args ((not _let_280))) :args _let_184)))) (let ((_let_434 (CNF_OR_NEG :args (_let_280 0)))) (let ((_let_435 (CNF_OR_NEG :args (_let_280 1)))) (let ((_let_436 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_280 2)) (CONG (REFL :args (_let_280)) (MACRO_SR_PRED_INTRO :args ((= (not _let_278) _let_277))) :args _let_184)) :args ((or _let_277 _let_280))))) (let ((_let_437 (not _let_358))) (let ((_let_438 (not _let_367))) (let ((_let_439 (REFL :args (_let_368)))) (let ((_let_440 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_368 0)) (CONG _let_439 (MACRO_SR_PRED_INTRO :args ((= (not _let_356) _let_355))) :args _let_184)) :args ((or _let_355 _let_368))))) (let ((_let_441 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_368 1)) (CONG _let_439 (MACRO_SR_PRED_INTRO :args ((= (not _let_354) _let_353))) :args _let_184)) :args ((or _let_353 _let_368))))) (let ((_let_442 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_368 2)) (CONG _let_439 (MACRO_SR_PRED_INTRO :args ((= (not _let_365) _let_364))) :args _let_184)) :args ((or _let_364 _let_368))))) (let ((_let_443 (REORDERING (CNF_OR_POS :args (_let_358)) :args ((or _let_356 _let_354 _let_357 _let_437))))) (let ((_let_444 (not _let_369))) (let ((_let_445 (_let_444))) (let ((_let_446 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_445)) :args _let_445)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_444) _let_369))) (REFL :args ((not _let_368))) :args _let_184)))) (let ((_let_447 (_let_369))) (let ((_let_448 ((not (= (tptp.c0_1 X44) false))))) (let ((_let_449 (ASSUME :args _let_447))) (let ((_let_450 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (tptp.a1756 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_447)))) (let ((_let_451 (not _let_373))) (let ((_let_452 (not _let_16))) (let ((_let_453 (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_15 _let_452))))) (let ((_let_454 (REORDERING (CNF_AND_POS :args (_let_16 2)) :args ((or _let_14 _let_452))))) (let ((_let_455 (REORDERING (CNF_AND_POS :args (_let_16 3)) :args ((or _let_13 _let_452))))) (let ((_let_456 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_373)) :args ((or _let_372 _let_371 _let_370 _let_451))) _let_455 _let_454 _let_453 :args ((or _let_452 _let_451) false _let_13 false _let_14 false _let_15)))) (let ((_let_457 (AND_ELIM _let_201 :args (27)))) (let ((_let_458 (not tptp.ndr1_0))) (let ((_let_459 (REORDERING (AND_ELIM _let_201 :args (33)) :args ((or tptp.hskp2 tptp.hskp27 _let_458 _let_374))))) (let ((_let_460 (_let_374))) (let ((_let_461 ((not (= (tptp.c0_1 Y) true))))) (let ((_let_462 (ASSUME :args _let_460))) (let ((_let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)))) (let ((_let_464 (not _let_377))) (let ((_let_465 (REORDERING (CNF_OR_POS :args (_let_377)) :args ((or _let_269 _let_268 _let_266 _let_464))))) (let ((_let_466 (REORDERING (CNF_OR_POS :args (_let_380)) :args ((or _let_269 _let_278 _let_267 (not _let_380)))))) (let ((_let_467 (_let_322))) (let ((_let_468 ((not (= (tptp.c1_1 X47) true))))) (let ((_let_469 (ASSUME :args _let_467))) (let ((_let_470 (_let_318))) (let ((_let_471 ((not (= (tptp.c0_1 X71) true))))) (let ((_let_472 (ASSUME :args _let_470))) (let ((_let_473 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_471)) :args _let_470)))) (let ((_let_474 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_322 (= X47 X76)))))) (let ((_let_475 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X71 X74)))))) (let ((_let_476 (AND_ELIM _let_201 :args (72)))) (let ((_let_477 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_153 (= X49 X111)))))) (let ((_let_478 (forall ((X50 $$unsorted)) (or (tptp.c0_1 X50) (tptp.c3_1 X50) (not (tptp.c1_1 X50)))))) (let ((_let_479 (forall ((X30 $$unsorted)) (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30)))))) (let ((_let_480 (or _let_78 _let_159 _let_162))) (let ((_let_481 (not _let_163))) (let ((_let_482 (AND_ELIM _let_201 :args (92)))) (let ((_let_483 (REORDERING (AND_ELIM _let_201 :args (59)) :args ((or tptp.hskp6 tptp.hskp19 _let_458 _let_478))))) (let ((_let_484 (AND_ELIM _let_201 :args (13)))) (let ((_let_485 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_479 (= X30 X50)))))) (let ((_let_486 (not _let_82))) (let ((_let_487 (REORDERING (CNF_AND_POS :args (_let_82 1)) :args ((or _let_81 _let_486))))) (let ((_let_488 (REORDERING (CNF_AND_POS :args (_let_82 2)) :args ((or _let_80 _let_486))))) (let ((_let_489 (REORDERING (CNF_AND_POS :args (_let_82 3)) :args ((or _let_79 _let_486))))) (let ((_let_490 (_let_479))) (let ((_let_491 ((not (= (tptp.c0_1 X30) true))))) (let ((_let_492 (ASSUME :args _let_490))) (let ((_let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a1771 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_494 (_let_163))) (let ((_let_495 (REORDERING (CNF_OR_POS :args _let_494) :args ((or _let_162 _let_161 _let_160 _let_481))))) (let ((_let_496 (not _let_480))) (let ((_let_497 (REORDERING (CNF_OR_POS :args (_let_480)) :args ((or _let_78 _let_162 _let_159 _let_496))))) (let ((_let_498 (MACRO_RESOLUTION_TRUST _let_497 _let_495 _let_493 _let_489 _let_488 _let_487 _let_485 _let_484 _let_483 _let_206 _let_482 _let_206 :args ((or tptp.hskp6 tptp.hskp19 _let_158 _let_481) true _let_159 false _let_480 true _let_78 false _let_80 false _let_81 false _let_479 false _let_82 false _let_478 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0)))) (let ((_let_499 (REFL :args _let_494))) (let ((_let_500 (AND_ELIM _let_201 :args (6)))) (let ((_let_501 (not _let_115))) (let ((_let_502 (REORDERING (CNF_AND_POS :args (_let_115 1)) :args ((or _let_114 _let_501))))) (let ((_let_503 (REORDERING (CNF_AND_POS :args (_let_115 2)) :args ((or _let_113 _let_501))))) (let ((_let_504 (REORDERING (CNF_AND_POS :args (_let_115 3)) :args ((or _let_112 _let_501))))) (let ((_let_505 (not _let_317))) (let ((_let_506 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_317)) :args ((or _let_111 _let_316 _let_302 _let_505))) _let_504 _let_503 _let_502 :args ((or _let_501 _let_505) true _let_111 false _let_113 false _let_114)))) (let ((_let_507 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (tptp.a1762 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_471)) :args _let_470)))) (let ((_let_508 (not _let_319))) (let ((_let_509 (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_111 _let_302 _let_303 _let_508))))) (let ((_let_510 (REORDERING (CNF_OR_POS :args (_let_320)) :args ((or _let_316 _let_302 _let_303 (not _let_320)))))) (let ((_let_511 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (tptp.a1762 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)))) (let ((_let_512 ((not (= (tptp.c2_1 X47) false))))) (let ((_let_513 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1762 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_512)) :args _let_467)))) (let ((_let_514 (_let_164))) (let ((_let_515 ((not (= (tptp.c1_1 X14) false))))) (let ((_let_516 (ASSUME :args _let_514))) (let ((_let_517 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a1771 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)))) (let ((_let_518 ((not (= (tptp.c2_1 X14) false))))) (let ((_let_519 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a1805 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_518)) :args _let_514)))) (let ((_let_520 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a1823 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)))) (let ((_let_521 (not _let_336))) (let ((_let_522 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_78 _let_162 _let_161 _let_521))) _let_489 _let_488 _let_487 :args ((or _let_486 _let_521) true _let_78 false _let_80 false _let_81)))) (let ((_let_523 ((not (= (tptp.c0_1 X7) true))))) (let ((_let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.a1771 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_523)) :args _let_223)))) (let ((_let_525 (REORDERING (CNF_OR_POS :args (_let_337)) :args ((or _let_162 _let_161 _let_159 (not _let_337)))))) (let ((_let_526 (_let_338))) (let ((_let_527 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_526) :args (tptp.a1771 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X100) true))))) :args _let_526)))) (let ((_let_528 ((not (= (tptp.c0_1 X8) false))))) (let ((_let_529 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (tptp.a1805 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_227)))) (let ((_let_530 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_338 (= X100 X117)))))) (let ((_let_531 (not _let_332))) (let ((_let_532 (not _let_4))) (let ((_let_533 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_332)) :args ((or _let_331 _let_330 _let_329 _let_531))) (REORDERING (CNF_AND_POS :args (_let_4 3)) :args ((or _let_1 _let_532))) (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_532))) :args ((or _let_330 _let_532 _let_531) false _let_1 false _let_3)) (REORDERING (CNF_AND_POS :args (_let_4 2)) :args ((or _let_2 _let_532))) :args ((or _let_532 _let_531) false _let_2)))) (let ((_let_534 (AND_ELIM _let_201 :args (30)))) (let ((_let_535 (AND_ELIM _let_201 :args (95)))) (let ((_let_536 (AND_ELIM _let_201 :args (29)))) (let ((_let_537 (not _let_8))) (let ((_let_538 (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_537))))) (let ((_let_539 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_537))))) (let ((_let_540 (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_537))))) (let ((_let_541 (not _let_340))) (let ((_let_542 (REORDERING (CNF_OR_POS :args (_let_340)) :args ((or _let_339 _let_325 _let_326 _let_541))))) (let ((_let_543 (REORDERING (CNF_OR_POS :args (_let_328)) :args ((or _let_325 _let_324 _let_327 (not _let_328)))))) (let ((_let_544 (MACRO_RESOLUTION_TRUST _let_543 _let_542 _let_540 _let_539 _let_538 _let_536 _let_535 _let_206 _let_534 _let_533 _let_530 _let_529 _let_527 _let_231 _let_206 _let_525 _let_524 _let_495 _let_522 _let_488 _let_487 _let_484 _let_482 _let_206 _let_477 _let_387 _let_391 _let_393 _let_396 _let_399 (MACRO_RESOLUTION_TRUST _let_405 _let_403 _let_402 _let_401 _let_400 :args ((or _let_335 _let_404 _let_351) true _let_312 false _let_310 true _let_333 true _let_314)) _let_412 _let_520 _let_519 _let_517 _let_476 _let_206 _let_233 _let_474 _let_176 _let_175 _let_174 _let_513 _let_511 _let_475 _let_510 _let_509 _let_507 (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_111 _let_302 _let_304 (not _let_305)))) _let_506 _let_504 _let_503 _let_502 _let_500 (MACRO_RESOLUTION_TRUST _let_489 (REORDERING (CNF_OR_POS :args (_let_306)) :args ((or _let_78 _let_162 _let_160 _let_352))) _let_484 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 2)) (CONG _let_499 (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_159))) :args _let_184)) :args ((or _let_159 _let_163))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 0)) (CONG _let_499 (MACRO_SR_PRED_INTRO :args ((= (not _let_162) _let_81))) :args _let_184)) :args ((or _let_81 _let_163))) _let_482 _let_206 _let_498 _let_477 (MACRO_RESOLUTION_TRUST _let_476 _let_206 _let_475 _let_474 _let_473 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1754 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_468)) :args _let_467)) _let_466 (REORDERING (CNF_OR_POS :args (_let_379)) :args ((or _let_146 _let_286 _let_378 (not _let_379)))) _let_465 (REORDERING (CNF_OR_POS :args (_let_376)) :args ((or _let_148 _let_146 _let_375 (not _let_376)))) _let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (tptp.a1754 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)) _let_459 _let_206 _let_457 _let_456 _let_450 _let_446 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_356 _let_365 _let_366 _let_438))) _let_443 _let_442 _let_441 _let_440 :args ((or _let_368 _let_438 _let_437) false _let_357 false _let_364 false _let_353 false _let_355)) _let_436 _let_435 _let_434 _let_433 _let_430 _let_426 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_210)) _let_423 _let_422 _let_421 _let_419 _let_418 _let_417 _let_206 (AND_ELIM _let_201 :args (31)) _let_206 _let_416 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)) _let_412 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)) (REORDERING (CNF_OR_POS :args (_let_360)) :args ((or _let_314 _let_333 _let_312 (not _let_360)))) _let_405 (REORDERING (CNF_OR_POS :args (_let_359)) :args ((or _let_314 _let_311 _let_312 (not _let_359)))) _let_403 _let_402 _let_401 _let_400 _let_399 _let_396 _let_393 _let_392 _let_391 _let_390 _let_387 _let_386 _let_385 :args ((or tptp.hskp6 _let_381 _let_244 _let_243 _let_241 _let_351) false tptp.ndr1_0 true _let_321 true _let_323 true _let_318 true _let_322 true _let_380 true _let_379 false _let_266 false _let_375 false _let_377 false _let_376 false _let_374 false tptp.ndr1_0 true tptp.hskp27 true _let_16 false _let_373 false _let_369 false _let_368 false _let_277 true _let_268 true _let_269 true _let_280 true _let_282 true _let_287 false _let_367 true _let_146 true _let_148 false _let_150 false _let_188 false _let_151 false _let_363 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true _let_362 true _let_361 true _let_293 true _let_165 true _let_360 true _let_334 true _let_359 true _let_312 false _let_310 true _let_333 true _let_314 true _let_335 true _let_255 true _let_253 true tptp.hskp2 true _let_250 true _let_137 false _let_252 false _let_358 false _let_249)) :args ((or tptp.hskp6 tptp.hskp19 _let_352 _let_244 _let_243 _let_241 _let_351) false _let_78 false _let_82 false _let_159 false _let_81 false tptp.hskp13 false tptp.ndr1_0 true _let_163 true _let_158 true _let_153)) _let_350 _let_349 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)) _let_346 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (tptp.a1771 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (tptp.a1762 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)) :args ((or _let_342 _let_244 _let_243 _let_241) false _let_326 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp29 false tptp.ndr1_0 true tptp.hskp30 true _let_4 true _let_341 false _let_340 true _let_338 false _let_197 false tptp.ndr1_0 true _let_337 true _let_196 true _let_159 true _let_336 false _let_80 false _let_81 false _let_82 false tptp.hskp13 false tptp.ndr1_0 true _let_158 true _let_153 true _let_252 false _let_250 false _let_253 false _let_255 false _let_335 false _let_334 false _let_332 false _let_328 false _let_163 false _let_293 false tptp.ndr1_0 false _let_164 true _let_323 true _let_173 true _let_172 true _let_171 true _let_322 true _let_165 true _let_321 true _let_320 true _let_319 true _let_318 true _let_303 true _let_317 true _let_111 false _let_113 false _let_114 false _let_115 false tptp.hskp6 true tptp.hskp19 true _let_53 false _let_315 false _let_309 false _let_306 false _let_305)))) (let ((_let_545 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_546 (not _let_545))) (let ((_let_547 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_548 (not _let_547))) (let ((_let_549 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_550 (or _let_549 _let_548 _let_546))) (let ((_let_551 (forall ((X68 $$unsorted)) (or (tptp.c0_1 X68) (not (tptp.c1_1 X68)) (not (tptp.c3_1 X68)))))) (let ((_let_552 (forall ((X65 $$unsorted)) (or (tptp.c2_1 X65) (not (tptp.c0_1 X65)) (not (tptp.c1_1 X65)))))) (let ((_let_553 (forall ((X64 $$unsorted)) (or (tptp.c1_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64)))))) (let ((_let_554 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_555 (not _let_554))) (let ((_let_556 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_557 (not _let_556))) (let ((_let_558 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_559 (or _let_558 _let_557 _let_555))) (let ((_let_560 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_561 (not _let_560))) (let ((_let_562 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_563 (not _let_562))) (let ((_let_564 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_565 (or _let_564 _let_563 _let_561))) (let ((_let_566 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_567 (or _let_549 _let_566 _let_546))) (let ((_let_568 (forall ((X79 $$unsorted)) (or (tptp.c0_1 X79) (not (tptp.c2_1 X79)) (not (tptp.c3_1 X79)))))) (let ((_let_569 (not _let_566))) (let ((_let_570 (or _let_549 _let_569 _let_546))) (let ((_let_571 (_let_342))) (let ((_let_572 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_571)) :args _let_571)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_342) _let_246))) (REFL :args ((not _let_550))) :args _let_184)))) (let ((_let_573 (REFL :args (_let_550)))) (let ((_let_574 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_550 2)) (CONG _let_573 (MACRO_SR_PRED_INTRO :args ((= (not _let_546) _let_545))) :args _let_184)) :args ((or _let_545 _let_550))))) (let ((_let_575 (CNF_OR_NEG :args (_let_550 0)))) (let ((_let_576 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_550 1)) (CONG _let_573 (MACRO_SR_PRED_INTRO :args ((= (not _let_548) _let_547))) :args _let_184)) :args ((or _let_547 _let_550))))) (let ((_let_577 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_153 (= X49 X65)))))) (let ((_let_578 (AND_ELIM _let_201 :args (67)))) (let ((_let_579 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_197 (= X8 X64)))))) (let ((_let_580 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)))) (let ((_let_581 (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c1_1 X48)))))) (let ((_let_582 (not _let_88))) (let ((_let_583 (or _let_86 _let_84 _let_582))) (let ((_let_584 (forall ((X61 $$unsorted)) (or (tptp.c0_1 X61) (not (tptp.c1_1 X61)) (not (tptp.c2_1 X61)))))) (let ((_let_585 (or _let_549 _let_548 _let_569))) (let ((_let_586 (not _let_130))) (let ((_let_587 (not _let_131))) (let ((_let_588 (tptp.c0_1 tptp.a1758))) (let ((_let_589 (or _let_588 _let_587 _let_586))) (let ((_let_590 (or _let_549 _let_566 _let_548))) (let ((_let_591 (forall ((X28 $$unsorted)) (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c1_1 X28)))))) (let ((_let_592 (tptp.c2_1 tptp.a1756))) (let ((_let_593 (not _let_592))) (let ((_let_594 (or _let_371 _let_593 _let_370))) (let ((_let_595 (or _let_592 _let_372 _let_370))) (let ((_let_596 (not _let_588))) (let ((_let_597 (or _let_128 _let_596 _let_587))) (let ((_let_598 (forall ((X10 $$unsorted)) (or (tptp.c3_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c1_1 X10)))))) (let ((_let_599 (or _let_596 _let_587 _let_586))) (let ((_let_600 (forall ((X11 $$unsorted)) (or (not (tptp.c0_1 X11)) (not (tptp.c1_1 X11)) (not (tptp.c2_1 X11)))))) (let ((_let_601 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c3_1 X9)))))) (let ((_let_602 (not _let_565))) (let ((_let_603 (not _let_260))) (let ((_let_604 (_let_260))) (let ((_let_605 ((not (= (tptp.c1_1 X20) true))))) (let ((_let_606 (ASSUME :args _let_604))) (let ((_let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a1782 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)))) (let ((_let_608 (not _let_261))) (let ((_let_609 (not _let_61))) (let ((_let_610 (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_60 _let_609))))) (let ((_let_611 (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_58 _let_609))))) (let ((_let_612 (REORDERING (CNF_AND_POS :args (_let_61 3)) :args ((or _let_56 _let_609))))) (let ((_let_613 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_59 _let_57 _let_55 _let_608))) _let_612 _let_611 _let_610 :args ((or _let_609 _let_608) true _let_55 true _let_57 true _let_59)))) (let ((_let_614 (AND_ELIM _let_201 :args (18)))) (let ((_let_615 (AND_ELIM _let_201 :args (58)))) (let ((_let_616 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_479 (= X30 X48)))))) (let ((_let_617 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a1770 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)))) (let ((_let_618 (forall ((X59 $$unsorted)) (or (tptp.c0_1 X59) (not (tptp.c1_1 X59)) (not (tptp.c2_1 X59)))))) (let ((_let_619 (forall ((X21 $$unsorted)) (or (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21)) (not (tptp.c3_1 X21)))))) (let ((_let_620 (forall ((X121 $$unsorted)) (or (not (tptp.c0_1 X121)) (not (tptp.c1_1 X121)) (not (tptp.c3_1 X121)))))) (let ((_let_621 (not _let_64))) (let ((_let_622 (not _let_65))) (let ((_let_623 (or _let_62 _let_622 _let_621))) (let ((_let_624 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_625 (not _let_624))) (let ((_let_626 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_627 (not _let_626))) (let ((_let_628 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_629 (or _let_628 _let_627 _let_625))) (let ((_let_630 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_631 (or _let_630 _let_628 _let_627))) (let ((_let_632 (not _let_630))) (let ((_let_633 (or _let_632 _let_627 _let_625))) (let ((_let_634 (forall ((X60 $$unsorted)) (or (not (tptp.c0_1 X60)) (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60)))))) (let ((_let_635 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_636 (not _let_635))) (let ((_let_637 (or _let_563 _let_561 _let_636))) (let ((_let_638 (not _let_564))) (let ((_let_639 (or _let_563 _let_638 _let_561))) (let ((_let_640 (MACRO_RESOLUTION_TRUST _let_497 _let_495 _let_489 _let_488 _let_487 :args ((or _let_486 _let_481 _let_496) true _let_159 true _let_78 false _let_80 false _let_81)))) (let ((_let_641 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_196 (= X7 X59)))))) (let ((_let_642 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X21)))))) (let ((_let_643 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X102)))))) (let ((_let_644 (or _let_121 _let_119 _let_117))) (let ((_let_645 (forall ((X19 $$unsorted)) (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19))))) (let ((_let_646 (tptp.c1_1 tptp.a1760))) (let ((_let_647 (or _let_646 _let_119 _let_117))) (let ((_let_648 (not _let_646))) (let ((_let_649 (or _let_121 _let_117 _let_648))) (let ((_let_650 (not _let_123))) (let ((_let_651 (_let_645))) (let ((_let_652 ((not (= (tptp.c0_1 X19) true))))) (let ((_let_653 (ASSUME :args _let_651))) (let ((_let_654 (AND_ELIM _let_201 :args (43)))) (let ((_let_655 (MACRO_RESOLUTION_TRUST _let_616 _let_615 _let_206 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (tptp.a1760 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) _let_614 (REORDERING (CNF_OR_POS :args (_let_649)) :args ((or _let_121 _let_117 _let_648 (not _let_649)))) _let_613 (REORDERING (CNF_OR_POS :args (_let_647)) :args ((or _let_119 _let_117 _let_646 (not _let_647)))) _let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a1760 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)) _let_654 _let_206 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_653 :args (tptp.a1760 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_652)) :args _let_651)) (REORDERING (CNF_OR_POS :args (_let_644)) :args ((or _let_121 _let_119 _let_117 (not _let_644)))) (REORDERING (CNF_AND_POS :args (_let_123 3)) :args ((or _let_118 _let_650))) (REORDERING (CNF_AND_POS :args (_let_123 2)) :args ((or _let_120 _let_650))) (REORDERING (CNF_AND_POS :args (_let_123 1)) :args ((or _let_122 _let_650))) :args ((or _let_619 _let_153 _let_650) false _let_581 false tptp.ndr1_0 true _let_479 true tptp.hskp18 true _let_649 true _let_61 false _let_646 false _let_261 false _let_647 false _let_260 false tptp.ndr1_0 true _let_645 true _let_644 true _let_117 true _let_119 true _let_121)))) (let ((_let_656 (AND_ELIM _let_201 :args (87)))) (let ((_let_657 (not _let_37))) (let ((_let_658 (REORDERING (CNF_AND_POS :args (_let_37 2)) :args ((or _let_34 _let_657))))) (let ((_let_659 (REORDERING (CNF_AND_POS :args (_let_37 3)) :args ((or _let_32 _let_657))))) (let ((_let_660 (tptp.c2_1 tptp.a1807))) (let ((_let_661 (or _let_33 _let_660 _let_31))) (let ((_let_662 (not _let_660))) (let ((_let_663 (or _let_33 _let_31 _let_662))) (let ((_let_664 (not _let_663))) (let ((_let_665 (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_33 _let_31 _let_662 _let_664))))) (let ((_let_666 (_let_276))) (let ((_let_667 ((not (= (tptp.c1_1 X) true))))) (let ((_let_668 (ASSUME :args _let_666))) (let ((_let_669 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (tptp.a1807 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)))) (let ((_let_670 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_276 (= X X101)))))) (let ((_let_671 (MACRO_RESOLUTION_TRUST _let_670 _let_669 _let_656 _let_206 _let_665 _let_614 (REORDERING (CNF_OR_POS :args (_let_661)) :args ((or _let_33 _let_31 _let_660 (not _let_661)))) _let_613 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a1807 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)) _let_607 :args ((or _let_33 _let_31 _let_262 _let_603) true _let_276 false _let_263 false tptp.ndr1_0 true _let_663 true tptp.hskp18 false _let_660 true _let_61 false _let_661 false _let_261)))) (let ((_let_672 (MACRO_RESOLUTION_TRUST _let_671 _let_659 _let_658 :args ((or _let_262 _let_657 _let_603) true _let_31 true _let_33)))) (let ((_let_673 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)))) (let ((_let_674 (AND_ELIM _let_201 :args (5)))) (let ((_let_675 (AND_ELIM _let_201 :args (23)))) (let ((_let_676 (not _let_66))) (let ((_let_677 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)))) (let ((_let_678 (REORDERING (AND_ELIM _let_201 :args (99)) :args ((or tptp.hskp5 tptp.hskp23 _let_458 _let_620))))) (let ((_let_679 (not _let_279))) (let ((_let_680 (not _let_270))) (let ((_let_681 (_let_270))) (let ((_let_682 (REORDERING (CNF_OR_POS :args _let_681) :args ((or _let_269 _let_268 _let_267 _let_680))))) (let ((_let_683 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_268 _let_278 _let_266 _let_679))) _let_682 _let_436 _let_435 _let_434 :args ((or _let_280 _let_680 _let_679) true _let_266 false _let_277 true _let_268 true _let_269)))) (let ((_let_684 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_369 (= X44 X121)))))) (let ((_let_685 (not _let_322))) (let ((_let_686 (_let_685))) (let ((_let_687 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_686)) :args _let_686)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_685) _let_322))) (REFL :args ((not _let_629))) :args _let_184)))) (let ((_let_688 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X1) true))))) :args _let_427)))) (let ((_let_689 (not _let_631))) (let ((_let_690 (not _let_633))) (let ((_let_691 (REFL :args (_let_629)))) (let ((_let_692 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_627 _let_625 _let_632 _let_690))) (REORDERING (CNF_OR_POS :args (_let_631)) :args ((or _let_628 _let_627 _let_630 _let_689))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_629 2)) (CONG _let_691 (MACRO_SR_PRED_INTRO :args ((= (not _let_625) _let_624))) :args _let_184)) :args ((or _let_624 _let_629))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_629 1)) (CONG _let_691 (MACRO_SR_PRED_INTRO :args ((= (not _let_627) _let_626))) :args _let_184)) :args ((or _let_626 _let_629))) (CNF_OR_NEG :args (_let_629 0)) :args ((or _let_629 _let_690 _let_689) false _let_630 false _let_624 false _let_626 true _let_628)))) (let ((_let_693 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)))) (let ((_let_694 (AND_ELIM _let_201 :args (64)))) (let ((_let_695 (not _let_188))) (let ((_let_696 (_let_695))) (let ((_let_697 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_696)) :args _let_696)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_695) _let_188))) (REFL :args ((not _let_637))) :args _let_184)))) (let ((_let_698 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_600 (= X11 X60)))))) (let ((_let_699 (REFL :args (_let_637)))) (let ((_let_700 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_637 0)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_563) _let_562))) :args _let_184)) :args ((or _let_562 _let_637))))) (let ((_let_701 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_637 1)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_561) _let_560))) :args _let_184)) :args ((or _let_560 _let_637))))) (let ((_let_702 (_let_600))) (let ((_let_703 ((not (= (tptp.c0_1 X11) false))))) (let ((_let_704 (ASSUME :args _let_702))) (let ((_let_705 (not _let_639))) (let ((_let_706 (REORDERING (CNF_OR_POS :args (_let_565)) :args ((or _let_563 _let_561 _let_564 _let_602))))) (let ((_let_707 (AND_ELIM _let_201 :args (65)))) (let ((_let_708 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_196 (= X7 X61)))))) (let ((_let_709 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.a1758 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_224)) :args _let_223)))) (let ((_let_710 (REORDERING (CNF_OR_POS :args (_let_567)) :args ((or _let_549 _let_546 _let_566 (not _let_567)))))) (let ((_let_711 (_let_256))) (let ((_let_712 ((not (= (tptp.c0_1 X5) true))))) (let ((_let_713 (ASSUME :args _let_711))) (let ((_let_714 ((not (= (tptp.c0_1 V) true))))) (let ((_let_715 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_394)))) (let ((_let_716 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_256 (= X5 X28)))))) (let ((_let_717 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X39)))))) (let ((_let_718 (or _let_563 _let_638 _let_636))) (let ((_let_719 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a1756 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)))) (let ((_let_720 (not _let_583))) (let ((_let_721 (not _let_89))) (let ((_let_722 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_583)) :args ((or _let_86 _let_84 _let_582 _let_720))) (REORDERING (CNF_AND_POS :args (_let_89 3)) :args ((or _let_85 _let_721))) (REORDERING (CNF_AND_POS :args (_let_89 2)) :args ((or _let_87 _let_721))) (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_88 _let_721))) :args ((or _let_721 _let_720) true _let_84 true _let_86 false _let_88)))) (let ((_let_723 (AND_ELIM _let_201 :args (12)))) (let ((_let_724 (REORDERING (AND_ELIM _let_201 :args (47)) :args ((or tptp.hskp12 tptp.hskp27 _let_458 _let_591))))) (let ((_let_725 (not _let_594))) (let ((_let_726 (REORDERING (CNF_OR_POS :args (_let_594)) :args ((or _let_371 _let_370 _let_593 _let_725))))) (let ((_let_727 (_let_281))) (let ((_let_728 ((not (= (tptp.c2_1 X40) true))))) (let ((_let_729 (ASSUME :args _let_727))) (let ((_let_730 (AND_ELIM _let_201 :args (3)))) (let ((_let_731 (AND_ELIM _let_201 :args (53)))) (let ((_let_732 (not _let_132))) (let ((_let_733 (REORDERING (CNF_AND_POS :args (_let_132 1)) :args ((or _let_131 _let_732))))) (let ((_let_734 (REORDERING (CNF_AND_POS :args (_let_132 2)) :args ((or _let_130 _let_732))))) (let ((_let_735 (not _let_589))) (let ((_let_736 (not _let_597))) (let ((_let_737 (REORDERING (CNF_AND_POS :args (_let_132 3)) :args ((or _let_129 _let_732))))) (let ((_let_738 (REORDERING (CNF_OR_POS :args (_let_589)) :args ((or _let_587 _let_586 _let_588 _let_735))))) (let ((_let_739 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_597)) :args ((or _let_128 _let_587 _let_596 _let_736))) _let_738 _let_737 _let_734 _let_733 :args ((or _let_732 _let_736 _let_735) false _let_588 true _let_128 false _let_130 false _let_131)))) (let ((_let_740 (AND_ELIM _let_201 :args (10)))) (let ((_let_741 (_let_598))) (let ((_let_742 ((not (= (tptp.c3_1 X10) true))))) (let ((_let_743 (ASSUME :args _let_741))) (let ((_let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_743 :args (tptp.a1758 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_742)) :args _let_741)))) (let ((_let_745 (not _let_265))) (let ((_let_746 (not _let_100))) (let ((_let_747 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_97 _let_95 _let_264 _let_745))) (REORDERING (CNF_AND_POS :args (_let_100 3)) :args ((or _let_96 _let_746))) (REORDERING (CNF_AND_POS :args (_let_100 2)) :args ((or _let_98 _let_746))) (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_99 _let_746))) :args ((or _let_746 _let_745) true _let_95 true _let_97 false _let_99)))) (let ((_let_748 (REORDERING (CNF_OR_POS :args (_let_599)) :args ((or _let_587 _let_586 _let_596 (not _let_599)))))) (let ((_let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (tptp.a1767 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)))) (let ((_let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a1758 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)))) (let ((_let_751 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_165 (= X4 X9)))))) (let ((_let_752 (AND_ELIM _let_201 :args (39)))) (let ((_let_753 (forall ((X33 $$unsorted)) (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33)))))) (let ((_let_754 (forall ((X82 $$unsorted)) (or (tptp.c1_1 X82) (tptp.c2_1 X82) (tptp.c3_1 X82))))) (let ((_let_755 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= X20 X82)))))) (let ((_let_756 (AND_ELIM _let_201 :args (77)))) (let ((_let_757 (AND_ELIM _let_201 :args (11)))) (let ((_let_758 (not _let_285))) (let ((_let_759 (not _let_94))) (let ((_let_760 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_285)) :args ((or _let_90 _let_284 _let_283 _let_758))) (REORDERING (CNF_AND_POS :args (_let_94 3)) :args ((or _let_91 _let_759))) (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_92 _let_759))) (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_93 _let_759))) :args ((or _let_759 _let_758) true _let_90 false _let_92 false _let_93)))) (let ((_let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a1768 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)))) (let ((_let_762 (or _let_40 _let_38 _let_166))) (let ((_let_763 (or _let_548 _let_569 _let_546))) (let ((_let_764 (or _let_35 _let_660 _let_31))) (let ((_let_765 (tptp.c0_1 tptp.a1782))) (let ((_let_766 (or _let_765 _let_57 _let_55))) (let ((_let_767 (or _let_558 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_555))) (let ((_let_768 (or _let_556 _let_558 _let_555))) (let ((_let_769 (not _let_765))) (let ((_let_770 (or _let_59 _let_57 _let_769))) (let ((_let_771 (forall ((X2 $$unsorted)) (or (tptp.c1_1 X2) (tptp.c2_1 X2) (not (tptp.c0_1 X2)))))) (let ((_let_772 (not _let_559))) (let ((_let_773 (not _let_762))) (let ((_let_774 (not _let_43))) (let ((_let_775 (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_42 _let_774))))) (let ((_let_776 (REORDERING (CNF_AND_POS :args (_let_43 2)) :args ((or _let_41 _let_774))))) (let ((_let_777 (REORDERING (CNF_AND_POS :args (_let_43 3)) :args ((or _let_39 _let_774))))) (let ((_let_778 (AND_ELIM _let_201 :args (22)))) (let ((_let_779 (not _let_763))) (let ((_let_780 (REORDERING (CNF_OR_POS :args (_let_763)) :args ((or _let_548 _let_546 _let_569 _let_779))))) (let ((_let_781 (REORDERING (AND_ELIM _let_201 :args (74)) :args ((or tptp.hskp22 tptp.hskp27 _let_458 _let_568))))) (let ((_let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)))) (let ((_let_783 (not _let_764))) (let ((_let_784 (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 _let_657))))) (let ((_let_785 (not _let_276))) (let ((_let_786 (_let_785))) (let ((_let_787 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_786)) :args _let_786)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_785) _let_276))) (REFL :args ((not _let_767))) :args _let_184)))) (let ((_let_788 (CNF_OR_NEG :args (_let_767 0)))) (let ((_let_789 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_767 2)) (CONG (REFL :args (_let_767)) (MACRO_SR_PRED_INTRO :args ((= (not _let_555) _let_554))) :args _let_184)) :args ((or _let_554 _let_767))))) (let ((_let_790 (REORDERING (CNF_OR_POS :args (_let_559)) :args ((or _let_558 _let_555 _let_557 _let_772))))) (let ((_let_791 (REORDERING (CNF_OR_POS :args (_let_768)) :args ((or _let_558 _let_555 _let_556 (not _let_768)))))) (let ((_let_792 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_428)) :args _let_427)))) (let ((_let_793 (_let_771))) (let ((_let_794 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X71 X79)))))) (let ((_let_795 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_471)) :args _let_470)) (REORDERING (CNF_OR_POS :args (_let_570)) :args ((or _let_549 _let_546 _let_569 (not _let_570)))) _let_794 _let_710 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_793) :args (tptp.a1782 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X2) true))))) :args _let_793)) (AND_ELIM _let_201 :args (35)) _let_206 (REORDERING (CNF_OR_POS :args (_let_770)) :args ((or _let_59 _let_57 _let_769 (not _let_770)))) _let_792 (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_57 _let_55 _let_765 (not _let_766)))) _let_791 _let_612 _let_611 _let_610 _let_790 _let_614 _let_789 _let_788 _let_656 _let_206 _let_787 _let_670 _let_669 (MACRO_RESOLUTION_TRUST _let_665 (REORDERING (CNF_OR_POS :args (_let_764)) :args ((or _let_35 _let_31 _let_660 _let_783))) _let_659 _let_658 _let_784 :args ((or _let_657 _let_664 _let_783) false _let_660 true _let_31 true _let_33 true _let_35)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_653 :args (tptp.a1782 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_652)) :args _let_651)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_653 :args (tptp.a1807 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_652)) :args _let_651)) _let_654 _let_206 _let_671 _let_659 _let_658 _let_675 _let_678 _let_206 _let_674 _let_655 _let_684 _let_450 _let_456 _let_643 _let_642 _let_457 _let_782 _let_781 _let_206 _let_780 _let_778 _let_710 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_762)) :args ((or _let_40 _let_38 _let_166 _let_773))) _let_777 _let_776 _let_775 :args ((or _let_774 _let_773) true _let_38 true _let_40 false _let_42)) _let_715 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.a1799 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_394)) :args ((or _let_153 _let_568 _let_397 _let_549 _let_548 _let_546 _let_772) false _let_771 false tptp.ndr1_0 true _let_770 true _let_282 false _let_765 true _let_768 true _let_55 true _let_57 true _let_59 true _let_556 false _let_61 false _let_554 true _let_558 false tptp.hskp18 false tptp.ndr1_0 true _let_767 true _let_263 true _let_276 true _let_663 false _let_766 false _let_764 false _let_645 false tptp.ndr1_0 true _let_260 true _let_31 true _let_33 false _let_37 false tptp.hskp23 false tptp.ndr1_0 true tptp.hskp5 true _let_123 true _let_620 true _let_369 true _let_373 true _let_262 true _let_619 false _let_16 true _let_164 false tptp.hskp27 false tptp.ndr1_0 true _let_763 true tptp.hskp22 false _let_566 true _let_43 false _let_567 false _let_762)) _let_715 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_543 _let_542 _let_540 _let_539 _let_538 _let_536 _let_535 _let_206 _let_530 _let_527 _let_534 _let_525 _let_533 _let_495 _let_520 _let_519 _let_517 _let_234 _let_749 _let_747 _let_740 _let_731 _let_206 _let_761 _let_760 _let_488 _let_487 _let_757 _let_484 _let_756 _let_206 (AND_ELIM _let_201 :args (50)) _let_206 _let_755 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= X20 X34)))) :args ((or _let_260 _let_753 _let_258 _let_541) false _let_326 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp29 false tptp.ndr1_0 true _let_341 true _let_338 true tptp.hskp30 true _let_337 true _let_4 true _let_159 false _let_332 false _let_328 false _let_163 false _let_164 true _let_165 true _let_265 false _let_100 false tptp.hskp10 false tptp.ndr1_0 true _let_281 true _let_285 false _let_80 false _let_81 false _let_94 false _let_82 false tptp.hskp11 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true _let_754 true (forall ((X34 $$unsorted)) (or (tptp.c1_1 X34) (tptp.c2_1 X34) (tptp.c3_1 X34))))) _let_717 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X33)))) :args ((or _let_255 _let_260 _let_541) true _let_258 true _let_753)) (MACRO_RESOLUTION_TRUST _let_752 _let_206 _let_751 _let_750 _let_749 _let_748 _let_747 _let_744 _let_738 _let_740 _let_739 _let_734 _let_733 _let_731 _let_206 _let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (tptp.a1756 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) (AND_ELIM _let_201 :args (55)) _let_206 (REORDERING (CNF_OR_POS :args (_let_595)) :args ((or _let_372 _let_370 _let_592 (not _let_595)))) _let_450 _let_726 _let_456 _let_455 _let_454 _let_453 _let_457 _let_724 _let_206 _let_723 _let_722 _let_719 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_718)) :args ((or _let_563 _let_636 _let_638 (not _let_718)))) _let_706 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_637 2)) (CONG _let_699 (MACRO_SR_PRED_INTRO :args ((= (not _let_636) _let_635))) :args _let_184)) :args ((or _let_635 _let_637))) _let_701 _let_700 _let_697 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_447)) _let_213 _let_684 _let_215 _let_678 _let_206 _let_221 _let_675 _let_674 _let_232 _let_209 _let_208 _let_672 _let_655 _let_187 _let_643 _let_642 :args ((or _let_164 _let_153 _let_603 _let_602 _let_220) false _let_564 false _let_635 false _let_560 false _let_562 true _let_637 false _let_718 true _let_188 false _let_369 true _let_191 false _let_620 false tptp.ndr1_0 false _let_189 true tptp.hskp23 true tptp.hskp5 false _let_177 false _let_179 false _let_181 true _let_37 true _let_123 true _let_183 true _let_262 true _let_619)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X43)))) _let_717 _let_716 _let_715 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_713 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_712)) :args _let_711)) _let_710 (REORDERING (CNF_OR_POS :args (_let_590)) :args ((or _let_549 _let_548 _let_566 (not _let_590)))) (REORDERING (CNF_OR_POS :args (_let_585)) :args ((or _let_549 _let_548 _let_569 (not _let_585)))) _let_226 _let_709 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_523)) :args _let_223)) _let_708 _let_707 _let_206 _let_484 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_706 (REORDERING (CNF_OR_POS :args (_let_639)) :args ((or _let_563 _let_561 _let_638 _let_705))) :args ((or _let_563 _let_561 _let_602 _let_705) true _let_564)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) _let_701 _let_700 _let_698 _let_697 _let_694 _let_206 _let_693 _let_457 _let_692 _let_456 _let_688 _let_687 _let_450 _let_433 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1781 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_468)) :args _let_467)) _let_684 _let_683 (REORDERING (CNF_OR_POS :args (_let_623)) :args ((or _let_62 _let_622 _let_621 (not _let_623)))) _let_678 _let_206 _let_677 (REORDERING (CNF_AND_POS :args (_let_66 3)) :args ((or _let_63 _let_676))) (REORDERING (CNF_AND_POS :args (_let_66 2)) :args ((or _let_64 _let_676))) (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_65 _let_676))) _let_675 _let_670 (AND_ELIM _let_201 :args (17)) _let_674 _let_673 _let_672 _let_656 _let_206 (AND_ELIM _let_201 :args (69)) _let_206 _let_655 _let_234 _let_643 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X69)))) _let_642 _let_641 _let_517 _let_524 _let_640 _let_522 _let_493 _let_616 _let_615 _let_206 _let_614 _let_613 _let_607 :args ((or _let_153 _let_551 _let_486 _let_603 _let_602) false _let_639 false _let_560 false _let_562 false _let_600 true _let_637 false _let_634 false tptp.ndr1_0 true _let_188 true tptp.hskp27 true _let_633 true _let_16 false _let_631 true _let_629 false _let_373 false _let_282 true _let_322 false _let_369 false _let_280 true _let_623 false _let_620 false tptp.ndr1_0 false _let_279 true _let_62 false _let_64 false _let_65 true tptp.hskp23 false _let_276 false _let_66 true tptp.hskp5 false _let_270 true _let_37 false _let_263 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true _let_123 false _let_165 true _let_262 true (forall ((X69 $$unsorted)) (or (not (tptp.c1_1 X69)) (not (tptp.c2_1 X69)) (not (tptp.c3_1 X69)))) true _let_619 true _let_618 true _let_164 true _let_196 true _let_163 true _let_336 false _let_480 false _let_479 false _let_581 false tptp.ndr1_0 true tptp.hskp18 true _let_61 false _let_261)) _let_617 _let_616 _let_615 _let_206 _let_614 _let_613 _let_607 :args ((or _let_153 _let_551 _let_603 _let_549 _let_548 _let_546 _let_602) false tptp.ndr1_0 true _let_601 true _let_600 true _let_165 true _let_599 true _let_265 true _let_598 false _let_588 false _let_100 true _let_597 false _let_130 false _let_131 false tptp.hskp10 false tptp.ndr1_0 false _let_132 true _let_281 false tptp.hskp3 false tptp.ndr1_0 true _let_595 true _let_369 true _let_592 true _let_373 false _let_13 false _let_14 false _let_15 false _let_16 false tptp.hskp27 false tptp.ndr1_0 true tptp.hskp12 true _let_89 false _let_594 false _let_164 true (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43)))) true _let_258 true _let_591 true _let_255 true _let_256 true _let_567 true _let_590 true _let_566 false _let_192 false _let_589 false _let_585 false _let_196 false _let_584 false tptp.ndr1_0 true tptp.hskp13 true _let_82 false _let_583 false _let_479 false _let_581 false tptp.ndr1_0 true tptp.hskp18 true _let_61 false _let_261)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_229 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_528)) :args _let_227)) _let_529 _let_580 _let_579 _let_578 _let_206 _let_577 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_246 (= X63 X68)))) _let_576 _let_575 _let_574 _let_572 :args ((or _let_153 _let_246) true _let_570 false _let_318 false _let_566 false _let_568 false _let_567 false _let_255 true _let_260 false _let_565 false _let_340 false _let_559 false _let_197 false _let_553 false tptp.ndr1_0 true _let_552 true _let_551 false _let_547 true _let_549 false _let_545 true _let_550)))) (let ((_let_796 (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_244 _let_243 _let_250 (not _let_254)))))) (let ((_let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_713 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X5) true))))) :args _let_711)))) (let ((_let_798 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X31)))))) (let ((_let_799 (AND_ELIM _let_201 :args (49)))) (let ((_let_800 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= X20 X32)))))) (let ((_let_801 (or _let_354 _let_366 _let_365))) (let ((_let_802 (or _let_35 _let_33 _let_31))) (let ((_let_803 (forall ((X95 $$unsorted)) (or (tptp.c1_1 X95) (tptp.c3_1 X95) (not (tptp.c2_1 X95)))))) (let ((_let_804 (not _let_46))) (let ((_let_805 (tptp.c1_1 tptp.a1788))) (let ((_let_806 (or _let_805 _let_44 _let_804))) (let ((_let_807 (or _let_339 _let_327 _let_325))) (let ((_let_808 (not _let_805))) (let ((_let_809 (not _let_47))) (let ((_let_810 (or _let_809 _let_808 _let_804))) (let ((_let_811 (not _let_801))) (let ((_let_812 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (tptp.a1807 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)))) (let ((_let_813 (not _let_802))) (let ((_let_814 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_802)) :args ((or _let_35 _let_33 _let_31 _let_813))) _let_659 _let_658 _let_784 :args ((or _let_657 _let_813) true _let_31 true _let_33 true _let_35)))) (let ((_let_815 (AND_ELIM _let_201 :args (84)))) (let ((_let_816 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_276 (= X X95)))))) (let ((_let_817 (not _let_807))) (let ((_let_818 (not _let_48))) (let ((_let_819 (_let_288))) (let ((_let_820 (not _let_23))) (let ((_let_821 (not _let_293))) (let ((_let_822 (_let_821))) (let ((_let_823 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_273 _let_272 _let_274 (not _let_275)))) (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_273 _let_272 _let_289 (not _let_290)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_294 2)) (CONG (REFL :args (_let_294)) (MACRO_SR_PRED_INTRO :args ((= (not _let_272) _let_271))) :args _let_184)) :args ((or _let_271 _let_294))) (CNF_OR_NEG :args (_let_294 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_822)) :args _let_822)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_821) _let_293))) (REFL :args ((not _let_294))) :args _let_184)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a1845 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)) (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_20 _let_18 _let_291 (not _let_292)))) (REORDERING (CNF_AND_POS :args (_let_23 3)) :args ((or _let_19 _let_820))) (REORDERING (CNF_AND_POS :args (_let_23 2)) :args ((or _let_21 _let_820))) (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 _let_820))) (AND_ELIM _let_201 :args (26)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_819) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X27) true))))) :args _let_819)) (REORDERING (AND_ELIM _let_201 :args (105)) :args ((or tptp.hskp0 tptp.hskp11 tptp.hskp26))) (AND_ELIM _let_201 :args (46)) _let_206 _let_418 _let_757 (MACRO_RESOLUTION_TRUST _let_426 _let_422 :args ((or _let_420 _let_425) true _let_148)) _let_760 _let_430 _let_761 _let_433 _let_731 _let_206 _let_683 _let_740 _let_677 _let_747 _let_670 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X4) true))))) :args _let_406)) _let_673 _let_749 _let_656 _let_206 _let_234 _let_643 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_806)) :args ((or _let_44 _let_804 _let_805 (not _let_806)))) (REORDERING (CNF_OR_POS :args (_let_810)) :args ((or _let_809 _let_804 _let_808 (not _let_810)))) (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_45 _let_818))) (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_46 _let_818))) (REORDERING (CNF_AND_POS :args (_let_48 1)) :args ((or _let_47 _let_818))) (AND_ELIM _let_201 :args (21)) (AND_ELIM _let_201 :args (63)) _let_206 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_197 (= X8 X58)))) _let_529 (MACRO_RESOLUTION_TRUST _let_542 (REORDERING (CNF_OR_POS :args (_let_807)) :args ((or _let_339 _let_325 _let_327 _let_817))) :args ((or _let_339 _let_325 _let_541 _let_817) true _let_326)) _let_539 _let_538 _let_536 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a1788 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a1805 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)) _let_535 _let_206 _let_698 _let_530 _let_694 _let_206 _let_527 _let_641 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_196 (= X7 X57)))) _let_525 _let_524 _let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (tptp.a1788 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)) _let_522 _let_488 _let_487 _let_816 _let_484 _let_815 _let_206 (AND_ELIM _let_201 :args (48)) _let_206 _let_675 _let_617 _let_814 _let_722 _let_812 _let_723 _let_459 _let_206 _let_724 _let_206 _let_457 _let_456 _let_450 _let_446 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_801)) :args ((or _let_354 _let_365 _let_366 _let_811))) _let_443 _let_442 _let_441 _let_440 :args ((or _let_368 _let_811 _let_437) false _let_357 false _let_364 false _let_353 false _let_355)) _let_534 _let_533 _let_520 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)) _let_517 _let_386 _let_716 _let_797 _let_796 _let_392 _let_390 _let_385 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X29)))) _let_396 _let_393 _let_391 _let_387 _let_795 _let_544 _let_301 _let_298 _let_300 _let_297 :args ((or _let_239 _let_185) true _let_805 true _let_44 false _let_46 false _let_47 false _let_48 false tptp.hskp21 false tptp.ndr1_0 true (forall ((X58 $$unsorted)) (or (tptp.c1_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c2_1 X58)))) true _let_197 true _let_340 false _let_6 false _let_7 false _let_8 false _let_810 false _let_807 false tptp.hskp29 false tptp.ndr1_0 false _let_600 true _let_341 false _let_634 false tptp.ndr1_0 true _let_338 true _let_618 true (forall ((X57 $$unsorted)) (or (tptp.c0_1 X57) (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57)))) true _let_337 true _let_196 true _let_159 false _let_806 true _let_336 false _let_80 false _let_81 false _let_276 false _let_82 false _let_803 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp23 true _let_479 true _let_37 true _let_583 false _let_802 false _let_89 false _let_374 false tptp.ndr1_0 false tptp.hskp12 false tptp.ndr1_0 true tptp.hskp27 true _let_16 false _let_373 false _let_369 false _let_368 true tptp.hskp30 true _let_4 false _let_332 false _let_801 false _let_163 false _let_358 true _let_591 true _let_256 true _let_254 true tptp.hskp2 true _let_137 false _let_249 true (forall ((X29 $$unsorted)) (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29)))) true _let_255 true _let_253 true _let_250 false _let_252 false _let_153 true _let_246 false _let_240 true _let_244 false _let_242 true _let_245)) _let_614 _let_613 _let_607 _let_800 _let_799 _let_206 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_256 (= X5 X26)))) _let_717 _let_798 _let_797 _let_396 _let_796 _let_393 _let_392 _let_391 _let_390 _let_387 _let_385 _let_795 _let_544 _let_301 _let_300 _let_298 _let_297 :args (_let_239 true _let_274 false _let_271 true _let_273 true _let_294 true _let_293 true _let_292 true _let_18 true _let_20 false _let_22 false _let_23 false _let_290 false tptp.hskp26 false _let_288 false tptp.ndr1_0 true tptp.hskp0 true tptp.hskp11 true _let_151 true _let_94 false _let_287 false _let_285 false _let_282 false _let_281 false tptp.ndr1_0 false _let_280 true tptp.hskp10 false _let_279 true _let_100 false _let_276 false _let_275 false _let_270 false _let_265 false _let_263 false tptp.ndr1_0 false _let_165 true _let_262 true _let_164 true tptp.hskp18 true _let_61 false _let_261 false _let_260 false _let_259 false tptp.ndr1_0 true (forall ((X26 $$unsorted)) (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c1_1 X26)))) true _let_258 true _let_257 true _let_256 true _let_255 true _let_254 true _let_253 true tptp.hskp2 true _let_250 true _let_137 false _let_252 false _let_249 false _let_153 true _let_246 false _let_240 false _let_242 true _let_244 true _let_245)))) (let ((_let_824 (_let_239))) (let ((_let_825 ((not (= (tptp.c2_1 X96) true))))) (let ((_let_826 (ASSUME :args _let_824))) (let ((_let_827 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1780 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)))) (let ((_let_828 (not _let_237))) (let ((_let_829 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_67 _let_236 _let_235 _let_828))) (REORDERING (CNF_AND_POS :args (_let_71 3)) :args ((or _let_68 _let_238))) (REORDERING (CNF_AND_POS :args (_let_71 2)) :args ((or _let_69 _let_238))) (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_70 _let_238))) :args ((or _let_238 _let_828) true _let_67 false _let_69 false _let_70)))) (let ((_let_830 (AND_ELIM _let_201 :args (16)))) (let ((_let_831 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1799 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)) _let_823 :args (_let_170 false _let_239)))) (let ((_let_832 (not _let_168))) (let ((_let_833 (not _let_170))) (let ((_let_834 (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_38 _let_166 _let_169 _let_833))))) (let ((_let_835 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_834 (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_40 _let_166 _let_167 _let_832))) _let_777 _let_776 _let_775 :args ((or _let_774 _let_833 _let_832) false _let_167 true _let_38 true _let_40 false _let_42)) _let_831 _let_778 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (tptp.a1799 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)) (AND_ELIM _let_201 :args (100)) _let_206 (MACRO_RESOLUTION_TRUST _let_830 (MACRO_RESOLUTION_TRUST _let_829 (MACRO_RESOLUTION_TRUST _let_827 _let_823 :args (_let_237 false _let_239)) :args (_let_238 false _let_237)) :args (_let_72 true _let_71)) _let_234 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X14 X122)))) :args (_let_164 false _let_170 false _let_43 false _let_168 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp16 false _let_165 true (forall ((X122 $$unsorted)) (or (not (tptp.c1_1 X122)) (not (tptp.c2_1 X122)) (not (tptp.c3_1 X122)))))))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_517 _let_835 :args (_let_163 false _let_164)))) (let ((_let_837 (or _let_566 _let_548 _let_546))) (let ((_let_838 (MACRO_RESOLUTION_TRUST _let_782 _let_835 :args (_let_763 false _let_164)))) (let ((_let_839 ((not (= (tptp.c1_1 X96) false))))) (let ((_let_840 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_839)) :args _let_824)))) (let ((_let_841 (not _let_837))) (let ((_let_842 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_548 _let_546 _let_566 _let_841))) _let_780 _let_574 _let_576 :args ((or _let_550 _let_841 _let_779) true _let_566 false _let_545 false _let_547)))) (let ((_let_843 (MACRO_RESOLUTION_TRUST _let_572 (MACRO_RESOLUTION_TRUST _let_842 (MACRO_RESOLUTION_TRUST _let_840 _let_823 :args (_let_837 false _let_239)) _let_838 :args (_let_550 false _let_837 false _let_763)) :args (_let_246 false _let_550)))) (let ((_let_844 (MACRO_RESOLUTION_TRUST _let_350 (MACRO_RESOLUTION_TRUST _let_349 (MACRO_RESOLUTION_TRUST _let_346 _let_843 :args (_let_309 false _let_246)) :args (_let_348 false _let_309)) :args (_let_54 true _let_53)))) (let ((_let_845 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_846 (not _let_845))) (let ((_let_847 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_848 (not _let_847))) (let ((_let_849 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_850 (or _let_849 _let_848 _let_846))) (let ((_let_851 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_852 (not _let_851))) (let ((_let_853 (or _let_849 _let_852 _let_846))) (let ((_let_854 (or _let_851 _let_848 _let_846))) (let ((_let_855 (or _let_167 _let_38 _let_166))) (let ((_let_856 (not _let_318))) (let ((_let_857 (_let_856))) (let ((_let_858 (or _let_592 _let_371 _let_370))) (let ((_let_859 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1756 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_839)) :args _let_824)))) (let ((_let_860 (not _let_858))) (let ((_let_861 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_858)) :args ((or _let_371 _let_370 _let_592 _let_860))) _let_726 _let_455 _let_454 :args ((or _let_452 _let_860 _let_725) true _let_592 false _let_13 false _let_14)))) (let ((_let_862 (MACRO_RESOLUTION_TRUST _let_457 (MACRO_RESOLUTION_TRUST _let_861 (MACRO_RESOLUTION_TRUST _let_859 _let_823 :args (_let_858 false _let_239)) (MACRO_RESOLUTION_TRUST _let_719 _let_835 :args (_let_594 false _let_164)) :args (_let_452 false _let_858 false _let_594)) :args (_let_17 true _let_16)))) (let ((_let_863 (REFL :args (_let_850)))) (let ((_let_864 (MACRO_RESOLUTION_TRUST _let_476 _let_206 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a1799 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)) _let_474 (REORDERING (CNF_OR_POS :args (_let_855)) :args ((or _let_38 _let_166 _let_167 (not _let_855)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_512)) :args _let_467)) _let_834 _let_831 (REORDERING (CNF_OR_POS :args (_let_854)) :args ((or _let_848 _let_846 _let_851 (not _let_854)))) _let_777 _let_775 (REORDERING (CNF_OR_POS :args (_let_853)) :args ((or _let_849 _let_846 _let_852 (not _let_853)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_345 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_344)) :args _let_343)) _let_843 :args (_let_853 false _let_246)) _let_778 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_850 2)) (CONG _let_863 (MACRO_SR_PRED_INTRO :args ((= (not _let_846) _let_845))) :args _let_184)) :args ((or _let_845 _let_850))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_850 1)) (CONG _let_863 (MACRO_SR_PRED_INTRO :args ((= (not _let_848) _let_847))) :args _let_184)) :args ((or _let_847 _let_850))) (CNF_OR_NEG :args (_let_850 0)) _let_781 _let_206 _let_862 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_857)) :args _let_857)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_856) _let_318))) (REFL :args ((not _let_850))) :args _let_184)) _let_794 _let_475 :args (_let_318 false tptp.ndr1_0 true _let_293 true _let_323 true _let_855 true _let_322 true _let_167 false _let_170 true _let_854 true _let_38 false _let_42 true _let_851 false _let_853 false _let_43 false _let_845 false _let_847 true _let_849 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp27 true _let_850 true _let_568 true _let_321)))) (let ((_let_865 (MACRO_RESOLUTION_TRUST _let_500 (MACRO_RESOLUTION_TRUST _let_506 (MACRO_RESOLUTION_TRUST _let_507 _let_864 :args (_let_317 false _let_318)) :args (_let_501 false _let_317)) :args (_let_116 true _let_115)))) (let ((_let_866 (MACRO_RESOLUTION_TRUST _let_477 (MACRO_RESOLUTION_TRUST _let_498 _let_865 _let_844 _let_836 :args (_let_158 true tptp.hskp6 true tptp.hskp19 false _let_163)) :args (_let_153 false _let_158)))) (let ((_let_867 (not _let_157))) (let ((_let_868 (or _let_155 _let_124 _let_154))) (let ((_let_869 (or _let_304 _let_316 _let_302))) (let ((_let_870 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (tptp.a1762 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_518)) :args _let_514)))) (let ((_let_871 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_872 (not _let_871))) (let ((_let_873 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_874 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_875 (or _let_874 _let_873 _let_872))) (let ((_let_876 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_877 (not _let_876))) (let ((_let_878 (or _let_873 _let_872 _let_877))) (let ((_let_879 (or _let_874 _let_876 _let_872))) (let ((_let_880 (not _let_108))) (let ((_let_881 (tptp.c2_1 tptp.a1763))) (let ((_let_882 (not _let_881))) (let ((_let_883 (not _let_109))) (let ((_let_884 (or _let_883 _let_882 _let_880))) (let ((_let_885 (or _let_106 _let_881 _let_880))) (let ((_let_886 (not _let_869))) (let ((_let_887 (not _let_256))) (let ((_let_888 (_let_887))) (let ((_let_889 (REORDERING (CNF_OR_POS :args (_let_869)) :args ((or _let_316 _let_302 _let_304 _let_886))))) (let ((_let_890 (not _let_885))) (let ((_let_891 (not _let_884))) (let ((_let_892 (not _let_110))) (let ((_let_893 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a1763 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_885)) :args ((or _let_106 _let_880 _let_881 _let_890))) (REORDERING (CNF_OR_POS :args (_let_884)) :args ((or _let_883 _let_880 _let_882 _let_891))) (REORDERING (CNF_AND_POS :args (_let_110 3)) :args ((or _let_107 _let_892))) (REORDERING (CNF_AND_POS :args (_let_110 2)) :args ((or _let_108 _let_892))) (REORDERING (CNF_AND_POS :args (_let_110 1)) :args ((or _let_109 _let_892))) :args ((or _let_892 _let_891 _let_890) true _let_881 true _let_106 false _let_108 false _let_109)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.a1763 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_210)) _let_476 _let_206 (AND_ELIM _let_201 :args (7)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_188 (= X13 X78)))) _let_474 (AND_ELIM _let_201 :args (37)) _let_206 (AND_ELIM _let_201 :args (73)) _let_206 _let_513 _let_511 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X71 X77)))) _let_475 _let_510 _let_509 _let_507 _let_889 _let_506 _let_504 _let_503 _let_502 _let_500 _let_483 _let_206 _let_350 _let_349 _let_346 _let_572 _let_842 _let_485 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_492 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_491)) :args _let_490)) (REORDERING (CNF_OR_POS :args (_let_879)) :args ((or _let_874 _let_872 _let_876 (not _let_879)))) _let_830 (REORDERING (CNF_OR_POS :args (_let_878)) :args ((or _let_873 _let_872 _let_877 (not _let_878)))) _let_829 _let_840 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)) _let_827 (CNF_OR_NEG :args (_let_875 1)) (CNF_OR_NEG :args (_let_875 0)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_875 2)) (CONG (REFL :args (_let_875)) (MACRO_SR_PRED_INTRO :args ((= (not _let_872) _let_871))) :args _let_184)) :args ((or _let_871 _let_875))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_888)) :args _let_888)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_887) _let_256))) (REFL :args ((not _let_875))) :args _let_184)) :args ((or _let_256 _let_295 _let_779 _let_886) true _let_885 false _let_884 false _let_293 false tptp.ndr1_0 false _let_110 false _let_188 true _let_323 false tptp.hskp7 false tptp.ndr1_0 false (forall ((X78 $$unsorted)) (or (not (tptp.c0_1 X78)) (not (tptp.c2_1 X78)) (not (tptp.c3_1 X78)))) false tptp.ndr1_0 true _let_322 true _let_165 true (forall ((X77 $$unsorted)) (or (tptp.c0_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77)))) true _let_321 true _let_320 true _let_319 true _let_318 true _let_303 true _let_317 true _let_111 false _let_113 false _let_114 false _let_115 false tptp.hskp6 false tptp.ndr1_0 true tptp.hskp19 true _let_53 false _let_309 false _let_246 false _let_550 true _let_478 true _let_479 true _let_879 true tptp.hskp16 true _let_876 true _let_71 false _let_837 false _let_878 false _let_237 true _let_873 true _let_874 false _let_871 true _let_875)))) (let ((_let_894 (MACRO_RESOLUTION_TRUST _let_893 _let_823 _let_838 (MACRO_RESOLUTION_TRUST _let_870 _let_835 :args (_let_869 false _let_164)) :args (_let_256 false _let_239 false _let_763 false _let_869)))) (let ((_let_895 (not _let_75))) (let ((_let_896 (tptp.c1_1 tptp.a1777))) (let ((_let_897 (or _let_73 _let_896 _let_895))) (let ((_let_898 (not _let_896))) (let ((_let_899 (or _let_73 _let_898 _let_895))) (let ((_let_900 (not _let_76))) (let ((_let_901 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_902 (not _let_901))) (let ((_let_903 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_904 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_905 (or _let_904 _let_903 _let_902))) (let ((_let_906 (not _let_165))) (let ((_let_907 (_let_906))) (let ((_let_908 (MACRO_RESOLUTION_TRUST _let_392 (MACRO_RESOLUTION_TRUST _let_390 (MACRO_RESOLUTION_TRUST _let_385 _let_866 :args (_let_249 false _let_153)) :args (_let_389 false _let_249)) :args (_let_138 true _let_137)))) (let ((_let_909 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_910 (not _let_909))) (let ((_let_911 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_912 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_913 (or _let_912 _let_911 _let_910))) (let ((_let_914 (not _let_911))) (let ((_let_915 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_916 (not _let_915))) (let ((_let_917 (or _let_916 _let_910 _let_914))) (let ((_let_918 (or _let_912 _let_916 _let_910))) (let ((_let_919 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)))) (let ((_let_920 (not _let_913))) (let ((_let_921 (not _let_917))) (let ((_let_922 (REFL :args (_let_918)))) (let ((_let_923 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_913)) :args ((or _let_912 _let_910 _let_911 _let_920))) (REORDERING (CNF_OR_POS :args (_let_917)) :args ((or _let_916 _let_910 _let_914 _let_921))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_918 2)) (CONG _let_922 (MACRO_SR_PRED_INTRO :args ((= (not _let_910) _let_909))) :args _let_184)) :args ((or _let_909 _let_918))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_918 1)) (CONG _let_922 (MACRO_SR_PRED_INTRO :args ((= (not _let_916) _let_915))) :args _let_184)) :args ((or _let_915 _let_918))) (CNF_OR_NEG :args (_let_918 0)) :args ((or _let_918 _let_921 _let_920) true _let_911 false _let_909 false _let_915 true _let_912)))) (let ((_let_924 (not _let_197))) (let ((_let_925 (_let_924))) (let ((_let_926 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_925)) :args _let_925)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_924) _let_197))) (REFL :args ((not _let_918))) :args _let_184)))) (let ((_let_927 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.a1777 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_523)) :args _let_223)))) (let ((_let_928 (not _let_899))) (let ((_let_929 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_429 :args (tptp.a1777 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_428)) :args _let_427)))) (let ((_let_930 (not _let_897))) (let ((_let_931 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_897)) :args ((or _let_73 _let_895 _let_896 _let_930))) (REORDERING (CNF_OR_POS :args (_let_899)) :args ((or _let_73 _let_895 _let_898 _let_928))) (REORDERING (CNF_AND_POS :args (_let_76 2)) :args ((or _let_74 _let_900))) (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_75 _let_900))) :args ((or _let_900 _let_928 _let_930) true _let_896 true _let_73 false _let_75)))) (let ((_let_932 (AND_ELIM _let_201 :args (14)))) (let ((_let_933 (AND_ELIM _let_201 :args (102)))) (let ((_let_934 (not _let_143))) (let ((_let_935 (or _let_141 _let_139 _let_934))) (let ((_let_936 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_713 :args (tptp.a1755 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_712)) :args _let_711)))) (let ((_let_937 (not _let_935))) (let ((_let_938 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_935)) :args ((or _let_141 _let_139 _let_934 _let_937))) (REORDERING (CNF_AND_POS :args (_let_144 3)) :args ((or _let_140 _let_198))) (REORDERING (CNF_AND_POS :args (_let_144 2)) :args ((or _let_142 _let_198))) (REORDERING (CNF_AND_POS :args (_let_144 1)) :args ((or _let_143 _let_198))) :args ((or _let_198 _let_937) true _let_139 true _let_141 false _let_143)))) (let ((_let_939 (or _let_40 _let_167 _let_38))) (let ((_let_940 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_941 (or _let_904 _let_903 _let_940))) (let ((_let_942 (not _let_940))) (let ((_let_943 (or _let_904 _let_942 _let_902))) (let ((_let_944 (not _let_361))) (let ((_let_945 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_946 (not _let_945))) (let ((_let_947 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_948 (not _let_947))) (let ((_let_949 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_950 (not _let_949))) (let ((_let_951 (or _let_950 _let_948 _let_946))) (let ((_let_952 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_953 (not _let_952))) (let ((_let_954 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_955 (not _let_954))) (let ((_let_956 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_957 (or _let_956 _let_955 _let_953))) (let ((_let_958 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3)))))) (let ((_let_959 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_960 (not _let_959))) (let ((_let_961 (or _let_956 _let_955 _let_960))) (let ((_let_962 (or _let_959 _let_955 _let_953))) (let ((_let_963 (or _let_128 _let_596 _let_586))) (let ((_let_964 (forall ((X42 $$unsorted)) (or (tptp.c3_1 X42) (not (tptp.c0_1 X42)) (not (tptp.c2_1 X42)))))) (let ((_let_965 (or _let_28 _let_26 _let_24))) (let ((_let_966 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_967 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_968 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_969 (or _let_968 _let_967 _let_966))) (let ((_let_970 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_971 (or _let_968 _let_967 _let_970))) (let ((_let_972 (not _let_970))) (let ((_let_973 (or _let_968 _let_967 _let_972))) (let ((_let_974 (not _let_9))) (let ((_let_975 (not _let_10))) (let ((_let_976 (not _let_11))) (let ((_let_977 (or _let_976 _let_975 _let_974))) (let ((_let_978 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_979 (not _let_978))) (let ((_let_980 (or _let_979 _let_950 _let_948))) (let ((_let_981 (or _let_945 _let_979 _let_950))) (let ((_let_982 (not _let_951))) (let ((_let_983 (AND_ELIM _let_201 :args (103)))) (let ((_let_984 (AND_ELIM _let_201 :args (25)))) (let ((_let_985 (not _let_30))) (let ((_let_986 (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_29 _let_985))))) (let ((_let_987 (REORDERING (CNF_AND_POS :args (_let_30 2)) :args ((or _let_27 _let_985))))) (let ((_let_988 (REORDERING (CNF_AND_POS :args (_let_30 3)) :args ((or _let_25 _let_985))))) (let ((_let_989 (REORDERING (CNF_OR_POS :args (_let_965)) :args ((or _let_28 _let_26 _let_24 (not _let_965)))))) (let ((_let_990 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a1827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)))) (let ((_let_991 (_let_944))) (let ((_let_992 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_991)) :args _let_991)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_944) _let_361))) (REFL :args ((not _let_969))) :args _let_184)))) (let ((_let_993 (CNF_OR_NEG :args (_let_969 0)))) (let ((_let_994 (CNF_OR_NEG :args (_let_969 1)))) (let ((_let_995 (or _let_967 _let_966 _let_970))) (let ((_let_996 (forall ((X81 $$unsorted)) (or (tptp.c0_1 X81) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81)))))) (let ((_let_997 (tptp.c3_1 tptp.a1827))) (let ((_let_998 (not _let_997))) (let ((_let_999 (or _let_26 _let_24 _let_998))) (let ((_let_1000 (or _let_26 _let_24 _let_997))) (let ((_let_1001 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X71 X81)))))) (let ((_let_1002 (REORDERING (AND_ELIM _let_201 :args (76)) :args ((or tptp.hskp4 tptp.hskp8 _let_458 _let_996))))) (let ((_let_1003 (tptp.c3_1 tptp.a1765))) (let ((_let_1004 (not _let_1003))) (let ((_let_1005 (or _let_101 _let_193 _let_1004))) (let ((_let_1006 (or _let_101 _let_1003 _let_193))) (let ((_let_1007 (AND_ELIM _let_201 :args (36)))) (let ((_let_1008 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_282 (= X1 X3)))))) (let ((_let_1009 (not _let_1006))) (let ((_let_1010 (not _let_1005))) (let ((_let_1011 (MACRO_RESOLUTION_TRUST _let_750 _let_752 _let_206 _let_748 _let_744 _let_738 _let_739 _let_734 _let_733 _let_730 _let_709 (AND_ELIM _let_201 :args (34)) _let_206 _let_231 _let_206 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_374 (= Y Z)))) _let_580 _let_812 _let_790 _let_814 _let_791 _let_675 _let_789 _let_788 _let_815 _let_206 _let_787 _let_816 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_668 :args (tptp.a1765 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_667)) :args _let_666)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1006)) :args ((or _let_101 _let_193 _let_1003 _let_1009))) (REORDERING (CNF_OR_POS :args (_let_1005)) :args ((or _let_101 _let_193 _let_1004 _let_1010))) :args ((or _let_101 _let_193 _let_1010 _let_1009) true _let_1003)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_469 :args (tptp.a1765 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_468)) :args _let_467)) _let_687 _let_692 _let_693 _let_419 _let_417 _let_206 _let_416 _let_751 _let_174 _let_688 _let_792 _let_1008 _let_1007 _let_206 :args ((or tptp.hskp4 tptp.hskp6 _let_101 _let_165 _let_239 _let_193) false _let_600 false tptp.ndr1_0 true _let_599 true _let_598 false _let_588 true _let_597 false _let_130 false _let_131 false _let_132 false _let_589 false tptp.hskp3 false tptp.ndr1_0 false _let_196 false tptp.ndr1_0 true (forall ((Z $$unsorted)) (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c3_1 Z))) true _let_197 true _let_374 true _let_559 true _let_802 false _let_556 false _let_37 false _let_554 true _let_558 false tptp.hskp23 false tptp.ndr1_0 true _let_767 true _let_803 true _let_276 true _let_1006 false _let_1005 false _let_322 false _let_629 false _let_633 false _let_188 false _let_363 false tptp.ndr1_0 true _let_362 true _let_601 true _let_171 false _let_631 false _let_768 false _let_282 false _let_958 false tptp.ndr1_0)))) (let ((_let_1012 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)))) (let ((_let_1013 (REORDERING (CNF_OR_POS :args (_let_973)) :args ((or _let_968 _let_967 _let_972 (not _let_973)))))) (let ((_let_1014 (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_11 _let_200))))) (let ((_let_1015 (REORDERING (CNF_AND_POS :args (_let_12 2)) :args ((or _let_10 _let_200))))) (let ((_let_1016 (REORDERING (CNF_AND_POS :args (_let_12 3)) :args ((or _let_9 _let_200))))) (let ((_let_1017 (REORDERING (CNF_OR_POS :args (_let_977)) :args ((or _let_976 _let_975 _let_974 (not _let_977)))))) (let ((_let_1018 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_704 :args (tptp.a1795 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_703)) :args _let_702)))) (let ((_let_1019 (not _let_600))) (let ((_let_1020 (_let_1019))) (let ((_let_1021 (REFL :args (_let_980)))) (let ((_let_1022 (_let_381))) (let ((_let_1023 (REFL :args (_let_957)))) (let ((_let_1024 (_let_964))) (let ((_let_1025 (MACRO_RESOLUTION_TRUST _let_203 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1024) :args (tptp.a1758 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X42) true))))) :args _let_1024)) (AND_ELIM _let_201 :args (54)) _let_206 (REORDERING (CNF_OR_POS :args (_let_963)) :args ((or _let_128 _let_586 _let_596 (not _let_963)))) _let_932 _let_738 _let_931 _let_709 _let_927 _let_708 _let_707 _let_206 _let_484 _let_640 _let_493 _let_616 _let_615 _let_206 _let_614 _let_613 _let_607 _let_755 _let_756 _let_206 _let_757 _let_760 _let_737 _let_734 _let_733 _let_730 (AND_ELIM _let_201 :args (68)) _let_206 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_598 (= X10 X67)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_743 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_742)) :args _let_741)) (REORDERING (CNF_OR_POS :args (_let_962)) :args ((or _let_955 _let_953 _let_959 (not _let_962)))) (REORDERING (CNF_OR_POS :args (_let_961)) :args ((or _let_956 _let_955 _let_960 (not _let_961)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_729 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_728)) :args _let_727)) _let_761 _let_731 _let_206 _let_740 _let_747 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_255 (= V X41)))) _let_717 _let_715 _let_710 _let_780 _let_574 _let_576 _let_575 _let_572 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_246 (= X63 X66)))) _let_346 _let_349 _let_929 _let_350 _let_1008 _let_498 _let_1007 _let_206 _let_500 (MACRO_RESOLUTION_TRUST _let_509 _let_889 _let_504 _let_503 _let_502 :args ((or _let_501 _let_886 _let_508) true _let_303 true _let_111 false _let_113 false _let_114)) _let_749 _let_511 (MACRO_RESOLUTION_TRUST _let_482 _let_206 _let_350 _let_484 _let_349 _let_522 _let_346 _let_524 _let_578 _let_206 _let_231 _let_206 _let_579 _let_230 _let_222 _let_217 _let_214 _let_1002 _let_206 _let_1001 _let_507 _let_506 _let_500 _let_1011 _let_174 :args ((or tptp.hskp4 _let_101 _let_165 _let_552 _let_239 _let_158 _let_193) false tptp.ndr1_0 true tptp.hskp19 true tptp.hskp13 true _let_53 true _let_82 false _let_309 false _let_336 false _let_246 false tptp.ndr1_0 false _let_196 false tptp.ndr1_0 true _let_553 true _let_197 true _let_195 false _let_104 false _let_105 false tptp.hskp8 false tptp.ndr1_0 true _let_996 true _let_318 true _let_317 false _let_115 false tptp.hskp6 true _let_171)) (MACRO_RESOLUTION_TRUST _let_694 _let_206 _let_641 _let_698 _let_524 _let_1018 _let_522 _let_1017 _let_484 _let_1016 _let_1015 _let_1014 _let_482 _let_206 _let_204 _let_350 _let_205 _let_349 _let_202 _let_346 _let_938 _let_572 _let_457 _let_936 _let_842 _let_861 _let_893 _let_840 _let_859 :args ((or tptp.hskp4 _let_158 _let_295 _let_725 _let_779 _let_886) false tptp.ndr1_0 true _let_618 true _let_634 true _let_196 true _let_600 true _let_336 true _let_977 false _let_82 false _let_9 false _let_10 false _let_11 false tptp.hskp13 false tptp.ndr1_0 false _let_12 true tptp.hskp19 false tptp.hskp28 true _let_53 true tptp.hskp1 false _let_309 true _let_144 false _let_246 true tptp.hskp27 false _let_935 false _let_550 true _let_16 false _let_256 false _let_837 false _let_858)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_957 2)) (CONG _let_1023 (MACRO_SR_PRED_INTRO :args ((= (not _let_953) _let_952))) :args _let_184)) :args ((or _let_952 _let_957))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_957 1)) (CONG _let_1023 (MACRO_SR_PRED_INTRO :args ((= (not _let_955) _let_954))) :args _let_184)) :args ((or _let_954 _let_957))) (CNF_OR_NEG :args (_let_957 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1022)) :args _let_1022)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_381) _let_153))) (REFL :args ((not _let_957))) :args _let_184)) _let_477 _let_577 _let_385 _let_390 _let_392 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_981)) :args ((or _let_979 _let_950 _let_945 (not _let_981)))) (REORDERING (CNF_OR_POS :args (_let_951)) :args ((or _let_950 _let_948 _let_946 _let_982))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_743 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_742)) :args _let_741)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_980 2)) (CONG _let_1021 (MACRO_SR_PRED_INTRO :args ((= (not _let_948) _let_947))) :args _let_184)) :args ((or _let_947 _let_980))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_980 1)) (CONG _let_1021 (MACRO_SR_PRED_INTRO :args ((= (not _let_950) _let_949))) :args _let_184)) :args ((or _let_949 _let_980))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_980 0)) (CONG _let_1021 (MACRO_SR_PRED_INTRO :args ((= (not _let_979) _let_978))) :args _let_184)) :args ((or _let_978 _let_980))) _let_752 _let_206 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1020)) :args _let_1020)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1019) _let_600))) (REFL :args ((not _let_980))) :args _let_184)) _let_1018 _let_1017 _let_1016 _let_1015 _let_1014 _let_204 _let_205 _let_202 _let_938 _let_751 _let_1012 _let_1013 (REORDERING (CNF_OR_POS :args (_let_971)) :args ((or _let_968 _let_967 _let_970 (not _let_971)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)) _let_459 _let_206 _let_457 _let_861 _let_936 _let_893 _let_859 (MACRO_RESOLUTION_TRUST _let_710 _let_780 _let_574 _let_576 _let_575 _let_572 _let_346 _let_349 _let_350 _let_498 _let_477 _let_387 _let_391 _let_393 _let_396 _let_715 _let_798 _let_799 _let_206 _let_800 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)) (REORDERING (CNF_OR_POS :args (_let_995)) :args ((or _let_967 _let_966 _let_970 (not _let_995)))) _let_1013 _let_1012 _let_1011 _let_500 (MACRO_RESOLUTION_TRUST _let_349 _let_350 _let_346 _let_482 _let_206 _let_578 _let_206 _let_477 _let_577 _let_387 _let_391 _let_393 _let_396 _let_798 _let_484 _let_799 _let_206 _let_522 _let_800 _let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_606 :args (tptp.a1827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_605)) :args _let_604)) _let_231 _let_206 _let_579 (REORDERING (CNF_OR_POS :args (_let_1000)) :args ((or _let_26 _let_24 _let_997 (not _let_1000)))) _let_230 (REORDERING (CNF_OR_POS :args (_let_999)) :args ((or _let_26 _let_24 _let_998 (not _let_999)))) _let_222 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a1827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_410)) :args _let_409)) _let_217 _let_476 _let_206 _let_214 _let_474 _let_174 _let_1002 _let_206 _let_513 _let_511 _let_1001 _let_475 _let_510 _let_509 _let_507 _let_889 _let_506 _let_504 _let_503 _let_502 _let_987 _let_988 _let_984 _let_983 :args ((or tptp.hskp2 tptp.hskp4 _let_101 _let_501 _let_193 _let_886 _let_244 _let_243 _let_241) false _let_53 false _let_309 false tptp.hskp19 false tptp.ndr1_0 false _let_246 false tptp.ndr1_0 true _let_158 true _let_552 true _let_153 true _let_252 false _let_250 false _let_253 false _let_255 true tptp.hskp13 false _let_257 false tptp.ndr1_0 true _let_82 true _let_259 false _let_336 true _let_260 false _let_196 false tptp.ndr1_0 true _let_553 true _let_1000 true _let_197 true _let_997 true _let_195 false _let_999 false _let_104 false _let_293 false tptp.ndr1_0 false _let_105 true _let_323 true _let_171 false tptp.hskp8 false tptp.ndr1_0 true _let_322 true _let_165 true _let_996 true _let_321 true _let_320 true _let_319 true _let_318 true _let_303 true _let_317 true _let_111 false _let_113 false _let_114 true _let_26 true _let_24 false _let_30 false tptp.hskp25)) _let_301 _let_300 _let_298 _let_297 _let_993 _let_994 (CNF_OR_NEG :args (_let_969 2)) _let_992 _let_990 _let_989 _let_986 _let_987 _let_988 _let_984 _let_983 :args ((or tptp.hskp2 tptp.hskp4 _let_101 _let_239 _let_193 _let_481 _let_779 _let_886) true _let_566 false _let_545 false _let_547 true _let_549 true _let_550 true _let_246 true _let_309 false _let_53 false tptp.hskp19 true _let_158 true _let_153 true _let_252 false _let_250 false _let_253 false _let_567 false _let_255 false _let_257 false tptp.ndr1_0 true _let_259 true _let_260 true _let_995 true _let_970 false _let_973 false _let_165 true tptp.hskp6 true _let_115 false _let_240 false _let_242 true _let_244 true _let_245 true _let_968 true _let_967 true _let_966 true _let_969 true _let_361 true _let_965 true _let_28 true _let_26 true _let_24 false _let_30 false tptp.hskp25)) _let_994 _let_993 _let_992 _let_990 _let_989 _let_988 _let_987 _let_986 _let_984 _let_983 :args ((or tptp.hskp2 tptp.hskp4 _let_101 _let_193 _let_481 _let_725 _let_982 _let_779 _let_886) true _let_945 false _let_981 false _let_947 false _let_949 false _let_978 false _let_598 false tptp.ndr1_0 true _let_980 true _let_600 true _let_977 false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp28 true tptp.hskp1 true _let_144 true _let_601 true _let_165 true _let_973 false _let_970 false _let_971 false _let_374 false tptp.ndr1_0 true tptp.hskp27 true _let_16 false _let_935 false _let_256 false _let_858 false _let_239 true _let_967 true _let_968 true _let_969 true _let_361 true _let_965 true _let_24 true _let_26 true _let_28 false _let_30 false tptp.hskp25)) _let_870 _let_782 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_516 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_515)) :args _let_514)) _let_719 _let_517 :args ((or tptp.hskp4 _let_101 _let_193 _let_185) false _let_964 false tptp.ndr1_0 true _let_963 true tptp.hskp14 false _let_588 true _let_76 false _let_589 false _let_899 false _let_196 false _let_584 false tptp.ndr1_0 true tptp.hskp13 true _let_82 false _let_480 false _let_479 false _let_581 false tptp.ndr1_0 true tptp.hskp18 true _let_61 false _let_261 false _let_260 false _let_754 false tptp.ndr1_0 true tptp.hskp11 true _let_94 true _let_128 false _let_130 false _let_131 false _let_132 false tptp.hskp3 false tptp.ndr1_0 true (forall ((X67 $$unsorted)) (or (tptp.c3_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c1_1 X67)))) true _let_598 true _let_962 true _let_959 false _let_961 false _let_285 false _let_281 false tptp.ndr1_0 true tptp.hskp10 true _let_100 true (forall ((X41 $$unsorted)) (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41)))) true _let_258 true _let_255 true _let_567 true _let_566 false _let_545 false _let_547 true _let_549 true _let_550 true (forall ((X66 $$unsorted)) (or (tptp.c0_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66)))) true _let_246 true _let_309 false _let_897 false _let_53 false _let_282 false tptp.hskp19 false _let_958 false tptp.ndr1_0 true tptp.hskp6 true _let_115 false _let_265 false _let_319 false _let_165 true _let_239 false _let_952 false _let_954 true _let_956 true _let_957 true _let_158 true _let_552 true _let_153 true _let_249 false _let_137 false tptp.hskp2 false _let_869 false _let_763 false _let_951 false _let_594 false _let_163)) _let_219 _let_218 :args ((or tptp.hskp4 _let_216 _let_185) true _let_101 false _let_103)) (MACRO_RESOLUTION_TRUST _let_214 (MACRO_RESOLUTION_TRUST _let_933 _let_908 (MACRO_RESOLUTION_TRUST _let_932 (MACRO_RESOLUTION_TRUST _let_931 (MACRO_RESOLUTION_TRUST _let_927 (MACRO_RESOLUTION_TRUST _let_708 (MACRO_RESOLUTION_TRUST _let_707 (MACRO_RESOLUTION_TRUST _let_484 (MACRO_RESOLUTION_TRUST _let_640 _let_836 (MACRO_RESOLUTION_TRUST _let_493 (MACRO_RESOLUTION_TRUST _let_485 (MACRO_RESOLUTION_TRUST _let_483 _let_865 _let_844 _let_206 :args (_let_478 true tptp.hskp6 true tptp.hskp19 false tptp.ndr1_0)) :args (_let_479 false _let_478)) :args (_let_480 false _let_479)) :args (_let_486 false _let_163 false _let_480)) :args (_let_83 true _let_82)) _let_206 :args (_let_584 true tptp.hskp13 false tptp.ndr1_0)) :args (_let_196 false _let_584)) :args (_let_899 false _let_196)) (MACRO_RESOLUTION_TRUST _let_929 (MACRO_RESOLUTION_TRUST _let_433 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_465 _let_682 :args ((or _let_269 _let_268 _let_680 _let_464) true _let_266)) (MACRO_RESOLUTION_TRUST _let_463 (MACRO_RESOLUTION_TRUST _let_459 _let_908 _let_862 _let_206 :args (_let_374 true tptp.hskp2 true tptp.hskp27 false tptp.ndr1_0)) :args (_let_377 false _let_374)) (MACRO_RESOLUTION_TRUST _let_673 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_361 (= U W)))) (MACRO_RESOLUTION_TRUST _let_834 _let_831 (REORDERING (CNF_OR_POS :args (_let_939)) :args ((or _let_40 _let_38 _let_167 (not _let_939)))) _let_777 _let_776 _let_775 _let_778 _let_781 _let_206 _let_862 _let_794 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_471)) :args _let_470)) (REORDERING (CNF_OR_POS :args (_let_943)) :args ((or _let_904 _let_902 _let_942 (not _let_943)))) (REORDERING (CNF_OR_POS :args (_let_941)) :args ((or _let_904 _let_903 _let_940 (not _let_941)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a1799 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)) :args ((or _let_944 _let_904 _let_903 _let_902) false _let_170 false _let_167 true _let_38 true _let_40 false _let_42 false _let_43 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp27 true _let_568 true _let_318 true _let_943 false _let_940 false _let_941 false _let_939)) (AND_ELIM _let_201 :args (32)) _let_206 (MACRO_RESOLUTION_TRUST _let_202 (MACRO_RESOLUTION_TRUST _let_938 (MACRO_RESOLUTION_TRUST _let_936 _let_894 :args (_let_935 false _let_256)) :args (_let_198 false _let_935)) :args (_let_145 true _let_144)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_905 2)) (CONG (REFL :args (_let_905)) (MACRO_SR_PRED_INTRO :args ((= (not _let_902) _let_901))) :args _let_184)) :args ((or _let_901 _let_905))) (CNF_OR_NEG :args (_let_905 1)) (CNF_OR_NEG :args (_let_905 0)) (MACRO_RESOLUTION_TRUST _let_222 _let_219 _let_218 _let_217 _let_214 _let_933 _let_932 _let_931 _let_929 _let_433 _let_436 _let_466 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_270 2)) (CONG (REFL :args _let_681) (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_266))) :args _let_184)) :args ((or _let_266 _let_270))) (REORDERING (CNF_OR_NEG :args (_let_270 0)) :args ((or (not _let_269) _let_270))) (MACRO_RESOLUTION_TRUST _let_222 _let_219 _let_218 _let_217 _let_214 _let_933 _let_932 _let_931 _let_230 _let_929 _let_926 _let_433 _let_923 _let_683 _let_919 _let_677 :args ((or tptp.hskp2 _let_785 _let_680 _let_921 _let_928) true _let_101 false _let_103 false _let_104 false _let_105 false tptp.hskp8 true tptp.hskp14 true _let_76 false _let_195 false _let_897 false _let_197 false _let_282 false _let_918 false _let_280 false _let_913 false _let_279)) _let_927 _let_708 _let_230 _let_707 _let_206 _let_926 _let_484 _let_923 _let_640 _let_836 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_210)) _let_493 _let_419 _let_485 _let_417 _let_206 _let_483 _let_206 _let_844 _let_500 _let_506 _let_473 _let_507 _let_919 :args ((or tptp.hskp2 _let_362 _let_785 _let_856) true _let_101 false _let_103 false _let_104 false _let_105 false tptp.hskp8 true tptp.hskp14 true _let_76 false _let_897 false _let_282 false _let_280 true _let_277 false _let_266 true _let_269 true _let_270 false _let_899 false _let_196 false _let_195 false _let_584 false tptp.ndr1_0 false _let_197 true tptp.hskp13 false _let_918 true _let_82 false _let_163 false _let_917 false _let_480 false _let_188 false _let_479 false _let_363 false tptp.ndr1_0 false _let_478 false tptp.ndr1_0 true tptp.hskp19 true tptp.hskp6 true _let_115 false _let_380 false _let_317 false _let_913)) _let_864 _let_908 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_907)) :args _let_907)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_906) _let_165))) (REFL :args ((not _let_905))) :args _let_184)) _let_416 :args (_let_165 true _let_361 false (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) false tptp.ndr1_0 true tptp.hskp1 false _let_901 true _let_903 true _let_904 true _let_276 false _let_318 true tptp.hskp2 true _let_905 true _let_362)) :args (_let_270 false _let_165)) _let_435 _let_434 :args (_let_280 false _let_377 false _let_270 true _let_268 true _let_269)) :args (_let_282 false _let_280)) :args (_let_897 false _let_282)) :args (_let_900 false _let_899 false _let_897)) :args (_let_77 true _let_76)) :args (tptp.hskp8 true tptp.hskp2 true tptp.hskp14)) :args (_let_105 false tptp.hskp8)) _let_835 :args (tptp.hskp4 false _let_105 false _let_164)) :args (_let_127 false tptp.hskp4)))) (let ((_let_1026 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_127 1)) :args ((or _let_126 _let_199))) _let_1025 :args (_let_126 false _let_127)))) (let ((_let_1027 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_127 2)) :args ((or _let_125 _let_199))) _let_1025 :args (_let_125 false _let_127)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_384 :args (tptp.a1759 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_383)) :args _let_382)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_124 _let_154 _let_156 _let_867))) _let_1027 _let_1026 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_868)) :args ((or _let_124 _let_154 _let_155 (not _let_868)))) _let_1027 _let_1026 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_713 :args (tptp.a1759 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_712)) :args _let_711)) _let_894 :args (_let_868 false _let_256)) :args (_let_155 true _let_124 false _let_126 false _let_868)) :args (_let_867 true _let_124 false _let_126 false _let_155)) _let_866 :args (false true _let_157 false _let_153)) :args (_let_152 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.81 )
% 0.22/0.81 % SZS output end Proof for SYN482+1
% 0.22/0.81 % cvc5---1.0.5 exiting
% 0.61/0.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------