TSTP Solution File: SYN478+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN478+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 02:03:32 EDT 2023
% Result : Theorem 0.22s 0.74s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN478+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 20:23:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SxVvcTR3i8/cvc5---1.0.5_12926.p...
% 0.22/0.74 ------- get file name : TPTP file name is SYN478+1
% 0.22/0.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12926.smt2...
% 0.22/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.74 % SZS status Theorem for SYN478+1
% 0.22/0.74 % SZS output start Proof for SYN478+1
% 0.22/0.74 (
% 0.22/0.74 (let ((_let_1 (tptp.c3_1 tptp.a1372))) (let ((_let_2 (tptp.c1_1 tptp.a1372))) (let ((_let_3 (tptp.c0_1 tptp.a1372))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a1338))) (let ((_let_6 (tptp.c2_1 tptp.a1338))) (let ((_let_7 (tptp.c1_1 tptp.a1338))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (not tptp.hskp29))) (let ((_let_10 (and tptp.ndr1_0 (tptp.c0_1 tptp.a1328) (tptp.c2_1 tptp.a1328) (tptp.c3_1 tptp.a1328)))) (let ((_let_11 (tptp.c3_1 tptp.a1411))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.c2_1 tptp.a1411))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c0_1 tptp.a1411))) (let ((_let_16 (and tptp.ndr1_0 _let_15 _let_14 _let_12))) (let ((_let_17 (not tptp.hskp26))) (let ((_let_18 (tptp.c3_1 tptp.a1359))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a1359))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c0_1 tptp.a1359))) (let ((_let_23 (not _let_22))) (let ((_let_24 (and tptp.ndr1_0 _let_23 _let_21 _let_19))) (let ((_let_25 (tptp.c3_1 tptp.a1356))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c1_1 tptp.a1356))) (let ((_let_28 (tptp.c0_1 tptp.a1356))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_26))) (let ((_let_30 (not tptp.hskp22))) (let ((_let_31 (tptp.c0_1 tptp.a1348))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c2_1 tptp.a1348))) (let ((_let_34 (tptp.c1_1 tptp.a1348))) (let ((_let_35 (and tptp.ndr1_0 _let_34 _let_33 _let_32))) (let ((_let_36 (tptp.c2_1 tptp.a1339))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.c0_1 tptp.a1339))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c1_1 tptp.a1339))) (let ((_let_41 (and tptp.ndr1_0 _let_40 _let_39 _let_37))) (let ((_let_42 (tptp.c0_1 tptp.a1334))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c3_1 tptp.a1334))) (let ((_let_45 (tptp.c2_1 tptp.a1334))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_43))) (let ((_let_47 (tptp.c3_1 tptp.a1333))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c2_1 tptp.a1333))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c1_1 tptp.a1333))) (let ((_let_52 (and tptp.ndr1_0 _let_51 _let_50 _let_48))) (let ((_let_53 (tptp.c3_1 tptp.a1331))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c2_1 tptp.a1331))) (let ((_let_56 (tptp.c1_1 tptp.a1331))) (let ((_let_57 (and tptp.ndr1_0 _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.c2_1 tptp.a1330))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.c1_1 tptp.a1330))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.c0_1 tptp.a1330))) (let ((_let_63 (and tptp.ndr1_0 _let_62 _let_61 _let_59))) (let ((_let_64 (tptp.c3_1 tptp.a1326))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.c2_1 tptp.a1326))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c1_1 tptp.a1326))) (let ((_let_69 (not _let_68))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_67 _let_65))) (let ((_let_71 (not tptp.hskp13))) (let ((_let_72 (tptp.c0_1 tptp.a1325))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c3_1 tptp.a1325))) (let ((_let_75 (tptp.c1_1 tptp.a1325))) (let ((_let_76 (and tptp.ndr1_0 _let_75 _let_74 _let_73))) (let ((_let_77 (tptp.c1_1 tptp.a1324))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c3_1 tptp.a1324))) (let ((_let_80 (tptp.c0_1 tptp.a1324))) (let ((_let_81 (and tptp.ndr1_0 _let_80 _let_79 _let_78))) (let ((_let_82 (not tptp.hskp11))) (let ((_let_83 (tptp.c1_1 tptp.a1320))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c0_1 tptp.a1320))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c2_1 tptp.a1320))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_84))) (let ((_let_89 (not tptp.hskp9))) (let ((_let_90 (tptp.c3_1 tptp.a1319))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c0_1 tptp.a1319))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c2_1 tptp.a1319))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_93 _let_91))) (let ((_let_96 (not tptp.hskp8))) (let ((_let_97 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1316)) (not (tptp.c2_1 tptp.a1316)) (not (tptp.c3_1 tptp.a1316))))) (let ((_let_98 (tptp.c1_1 tptp.a1315))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.c0_1 tptp.a1315))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.c3_1 tptp.a1315))) (let ((_let_103 (and tptp.ndr1_0 _let_102 _let_101 _let_99))) (let ((_let_104 (tptp.c3_1 tptp.a1314))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c0_1 tptp.a1314))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.c1_1 tptp.a1314))) (let ((_let_109 (and tptp.ndr1_0 _let_108 _let_107 _let_105))) (let ((_let_110 (tptp.c3_1 tptp.a1312))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.c1_1 tptp.a1312))) (let ((_let_113 (not _let_112))) (let ((_let_114 (tptp.c0_1 tptp.a1312))) (let ((_let_115 (and tptp.ndr1_0 _let_114 _let_113 _let_111))) (let ((_let_116 (tptp.c1_1 tptp.a1311))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.c2_1 tptp.a1311))) (let ((_let_119 (tptp.c0_1 tptp.a1311))) (let ((_let_120 (and tptp.ndr1_0 _let_119 _let_118 _let_117))) (let ((_let_121 (tptp.c2_1 tptp.a1309))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.c3_1 tptp.a1309))) (let ((_let_124 (tptp.c1_1 tptp.a1309))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_123 _let_122))) (let ((_let_126 (tptp.c2_1 tptp.a1308))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.c1_1 tptp.a1308))) (let ((_let_129 (not _let_128))) (let ((_let_130 (tptp.c3_1 tptp.a1308))) (let ((_let_131 (and tptp.ndr1_0 _let_130 _let_129 _let_127))) (let ((_let_132 (tptp.c2_1 tptp.a1306))) (let ((_let_133 (not _let_132))) (let ((_let_134 (tptp.c1_1 tptp.a1306))) (let ((_let_135 (not _let_134))) (let ((_let_136 (tptp.c0_1 tptp.a1306))) (let ((_let_137 (not _let_136))) (let ((_let_138 (and tptp.ndr1_0 _let_137 _let_135 _let_133))) (let ((_let_139 (not (not (and (or (not tptp.hskp0) _let_138) (or (not tptp.hskp1) _let_131) (or (not tptp.hskp2) _let_125) (or (not tptp.hskp3) _let_120) (or (not tptp.hskp4) _let_115) (or (not tptp.hskp5) _let_109) (or (not tptp.hskp6) _let_103) (or (not tptp.hskp7) _let_97) (or _let_96 _let_95) (or _let_89 _let_88) (or (not tptp.hskp10) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1321) (tptp.c3_1 tptp.a1321) (not (tptp.c2_1 tptp.a1321)))) (or _let_82 _let_81) (or (not tptp.hskp12) _let_76) (or _let_71 _let_70) (or (not tptp.hskp14) _let_63) (or (not tptp.hskp15) _let_57) (or (not tptp.hskp16) _let_52) (or (not tptp.hskp17) _let_46) (or (not tptp.hskp18) _let_41) (or (not tptp.hskp19) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1344) (tptp.c1_1 tptp.a1344) (not (tptp.c2_1 tptp.a1344)))) (or (not tptp.hskp20) _let_35) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1352) (not (tptp.c0_1 tptp.a1352)) (not (tptp.c2_1 tptp.a1352)))) (or _let_30 _let_29) (or (not tptp.hskp23) _let_24) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1370) (not (tptp.c1_1 tptp.a1370)) (not (tptp.c3_1 tptp.a1370)))) (or (not tptp.hskp25) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1394) (tptp.c2_1 tptp.a1394) (not (tptp.c3_1 tptp.a1394)))) (or _let_17 _let_16) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1307) (tptp.c1_1 tptp.a1307) (tptp.c2_1 tptp.a1307))) (or (not tptp.hskp28) _let_10) (or _let_9 _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.c1_1 V) (tptp.c3_1 V) (not (tptp.c2_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.c2_1 X) (not (tptp.c1_1 X)) (not (tptp.c3_1 X))))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c1_1 Y)))))) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) tptp.hskp27 tptp.hskp1) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) tptp.hskp2 tptp.hskp1) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2)))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4)))))) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5)))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c3_1 X6))))) tptp.hskp3) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c2_1 X7))))) tptp.hskp4 tptp.hskp2) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c2_1 X8))))) tptp.hskp5 tptp.hskp6) (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.c2_1 X10) (not (tptp.c1_1 X10)) (not (tptp.c3_1 X10))))) tptp.hskp7) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c2_1 X11) (tptp.c3_1 X11)))) (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c3_1 X12) (not (tptp.c2_1 X12))))) tptp.hskp6) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c2_1 X13) (tptp.c3_1 X13)))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14))))) tptp.hskp6) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c2_1 X15) (tptp.c3_1 X15)))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16))))) tptp.hskp8) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17)))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X18) (tptp.c3_1 X18) (not (tptp.c0_1 X18))))) tptp.hskp9) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19)))) tptp.hskp10 tptp.hskp6) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (not (tptp.c1_1 X20))))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22)))))) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24))))) tptp.hskp9) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X26) (tptp.c2_1 X26) (tptp.c3_1 X26)))) tptp.hskp11) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X28)) (not (tptp.c2_1 X28)) (not (tptp.c3_1 X28))))) 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) (not (tptp.c1_1 X30)) (not (tptp.c3_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c3_1 X31)))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c3_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X33) (tptp.c3_1 X33) (not (tptp.c0_1 X33))))) tptp.hskp13) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X35) (tptp.c2_1 X35) (tptp.c3_1 X35)))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X36) (not (tptp.c0_1 X36)) (not (tptp.c1_1 X36)))))) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c3_1 X37) (not (tptp.c1_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X38)) (not (tptp.c1_1 X38)) (not (tptp.c2_1 X38))))) tptp.hskp12) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c3_1 X39) (not (tptp.c1_1 X39))))) tptp.hskp28) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (tptp.c3_1 X40) (not (tptp.c2_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (not (tptp.c1_1 X41)) (not (tptp.c3_1 X41))))) tptp.hskp4) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c3_1 X42) (not (tptp.c2_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (not (tptp.c2_1 X43)) (not (tptp.c3_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c2_1 X44)))))) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c3_1 X45) (not (tptp.c2_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c2_1 X46)) (not (tptp.c3_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X47)) (not (tptp.c1_1 X47)) (not (tptp.c3_1 X47)))))) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c2_1 X48))))) tptp.hskp14 tptp.hskp15) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c1_1 X49)) (not (tptp.c2_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (not (tptp.c0_1 X50)) (not (tptp.c3_1 X50))))) tptp.hskp28) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51))))) tptp.hskp16 tptp.hskp17) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (not (tptp.c2_1 X52)) (not (tptp.c3_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c1_1 X53))))) tptp.hskp0) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c2_1 X54) (not (tptp.c0_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (tptp.c3_1 X55) (not (tptp.c0_1 X55))))) tptp.hskp15) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c2_1 X56) (not (tptp.c0_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X57) (not (tptp.c0_1 X57)) (not (tptp.c2_1 X57))))) tptp.hskp14) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (tptp.c2_1 X58) (not (tptp.c0_1 X58))))) tptp.hskp29 tptp.hskp18) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (not (tptp.c0_1 X59))))) tptp.hskp8 tptp.hskp7) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c2_1 X60) (not (tptp.c3_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c2_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X62) (tptp.c3_1 X62) (not (tptp.c0_1 X62)))))) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c3_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65)))))) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c3_1 X66))))) tptp.hskp2 tptp.hskp1) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c3_1 X67) (not (tptp.c0_1 X67))))) tptp.hskp19 tptp.hskp15) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (tptp.c3_1 X68) (not (tptp.c2_1 X68))))) tptp.hskp10 tptp.hskp1) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (not (tptp.c0_1 X69)) (not (tptp.c2_1 X69))))) tptp.hskp20 tptp.hskp2) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c2_1 X70))))) tptp.hskp12 tptp.hskp0) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (not (tptp.c0_1 X71)) (not (tptp.c2_1 X71))))) tptp.hskp21 tptp.hskp0) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (not (tptp.c3_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (tptp.c3_1 X73) (not (tptp.c1_1 X73))))) tptp.hskp20) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c3_1 X75))))) tptp.hskp27) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp22 tptp.hskp2) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77))))) tptp.hskp22 tptp.hskp23) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (tptp.c3_1 X78) (not (tptp.c0_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c1_1 X79))))) tptp.hskp27) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X80) (tptp.c3_1 X80) (not (tptp.c0_1 X80))))) tptp.hskp4 tptp.hskp17) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X81) (tptp.c3_1 X81) (not (tptp.c1_1 X81))))) tptp.hskp14 tptp.hskp16) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X82) (tptp.c3_1 X82) (not (tptp.c1_1 X82))))) tptp.hskp14 tptp.hskp13) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83))))) tptp.hskp14 tptp.hskp8) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X84) (not (tptp.c0_1 X84)) (not (tptp.c1_1 X84))))) tptp.hskp20 tptp.hskp24) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c2_1 X85))))) (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp11) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X87) (not (tptp.c0_1 X87)) (not (tptp.c2_1 X87))))) tptp.hskp30 tptp.hskp18) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X88) (not (tptp.c0_1 X88)) (not (tptp.c2_1 X88))))) tptp.hskp14 tptp.hskp12) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X89) (not (tptp.c0_1 X89)) (not (tptp.c2_1 X89))))) tptp.hskp9 tptp.hskp6) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X90) (not (tptp.c1_1 X90)) (not (tptp.c2_1 X90))))) (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X91)) (not (tptp.c1_1 X91)) (not (tptp.c3_1 X91))))) tptp.hskp5) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X92)) (not (tptp.c1_1 X92)) (not (tptp.c2_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X93)) (not (tptp.c2_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp17) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X94)) (not (tptp.c1_1 X94)) (not (tptp.c2_1 X94))))) tptp.hskp13) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95)) (not (tptp.c3_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X96)) (not (tptp.c2_1 X96)) (not (tptp.c3_1 X96))))) tptp.hskp29) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp22 tptp.hskp11) (or tptp.hskp27 tptp.hskp14 tptp.hskp18) (or tptp.hskp30 tptp.hskp2 tptp.hskp9) (or tptp.hskp19 tptp.hskp14 tptp.hskp9) (or tptp.hskp28 tptp.hskp25 tptp.hskp14) (or tptp.hskp28 tptp.hskp1 tptp.hskp7) (or tptp.hskp3 tptp.hskp4 tptp.hskp7) (or tptp.hskp3 tptp.hskp21 tptp.hskp7) (or tptp.hskp25 tptp.hskp20 tptp.hskp6) (or tptp.hskp14 tptp.hskp4 tptp.hskp1) (or tptp.hskp26 tptp.hskp29 tptp.hskp20) (or tptp.hskp26 tptp.hskp12) (or tptp.hskp20 tptp.hskp18) (or tptp.hskp2 tptp.hskp1 tptp.hskp23) (or tptp.hskp18 tptp.hskp5 tptp.hskp16) (or tptp.hskp6 tptp.hskp0 tptp.hskp23)))))) (let ((_let_140 (tptp.c3_1 tptp.a1348))) (let ((_let_141 (not _let_140))) (let ((_let_142 (not _let_33))) (let ((_let_143 (not _let_34))) (let ((_let_144 (or _let_143 _let_142 _let_141))) (let ((_let_145 (not _let_5))) (let ((_let_146 (not _let_6))) (let ((_let_147 (not _let_7))) (let ((_let_148 (or _let_147 _let_146 _let_145))) (let ((_let_149 (not _let_8))) (let ((_let_150 (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_149))))) (let ((_let_151 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_149))))) (let ((_let_152 (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_149))))) (let ((_let_153 (forall ((X28 $$unsorted)) (or (not (tptp.c1_1 X28)) (not (tptp.c2_1 X28)) (not (tptp.c3_1 X28)))))) (let ((_let_154 (forall ((X97 $$unsorted)) (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97)))))) (let ((_let_155 (not _let_131))) (let ((_let_156 (EQ_RESOLVE (ASSUME :args (_let_139)) (MACRO_SR_EQ_INTRO :args (_let_139 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_157 (AND_ELIM _let_156 :args (1)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_156 :args (96)) :args ((or tptp.hskp1 tptp.hskp7 tptp.hskp28))) (AND_ELIM _let_156 :args (28)) (AND_ELIM _let_156 :args (7)) _let_157 (REORDERING (CNF_AND_POS :args (_let_10 0)) :args ((or tptp.ndr1_0 (not _let_10)))) (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or tptp.ndr1_0 (not _let_97)))) (REORDERING (CNF_AND_POS :args (_let_131 0)) :args ((or tptp.ndr1_0 _let_155))) :args (tptp.ndr1_0 true tptp.hskp28 true tptp.hskp7 true tptp.hskp1 true _let_10 true _let_97 true _let_131)))) (let ((_let_159 (not _let_27))) (let ((_let_160 (not _let_28))) (let ((_let_161 (or _let_25 _let_160 _let_159))) (let ((_let_162 (not _let_29))) (let ((_let_163 (forall ((Y $$unsorted)) (or (tptp.c3_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c1_1 Y)))))) (let ((_let_164 (forall ((X36 $$unsorted)) (or (tptp.c3_1 X36) (not (tptp.c0_1 X36)) (not (tptp.c1_1 X36)))))) (let ((_let_165 (forall ((X64 $$unsorted)) (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64)))))) (let ((_let_166 (forall ((X83 $$unsorted)) (or (tptp.c3_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83)))))) (let ((_let_167 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_168 (not _let_167))) (let ((_let_169 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_170 (not _let_169))) (let ((_let_171 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_172 (or _let_171 _let_170 _let_168))) (let ((_let_173 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25)))))) (let ((_let_174 (forall ((X31 $$unsorted)) (or (tptp.c1_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c3_1 X31)))))) (let ((_let_175 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c3_1 X21)))))) (let ((_let_176 (tptp.c3_1 tptp.a1306))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_136 _let_132 _let_177))) (let ((_let_179 (tptp.c3_1 tptp.a1339))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_38 _let_36 _let_180))) (let ((_let_182 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_183 (not _let_182))) (let ((_let_184 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_185 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_186 (or _let_185 _let_184 _let_183))) (let ((_let_187 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_188 (not _let_187))) (let ((_let_189 (or _let_185 _let_184 _let_188))) (let ((_let_190 (or _let_184 _let_182 _let_188))) (let ((_let_191 (not _let_40))) (let ((_let_192 (or _let_38 _let_179 _let_191))) (let ((_let_193 (forall ((X22 $$unsorted)) (or (tptp.c2_1 X22) (tptp.c3_1 X22) (not (tptp.c1_1 X22)))))) (let ((_let_194 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24)))))) (let ((_let_195 (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34)))))) (let ((_let_196 (forall ((X35 $$unsorted)) (or (tptp.c1_1 X35) (tptp.c2_1 X35) (tptp.c3_1 X35))))) (let ((_let_197 (forall ((X26 $$unsorted)) (or (tptp.c1_1 X26) (tptp.c2_1 X26) (tptp.c3_1 X26))))) (let ((_let_198 (tptp.c3_1 tptp.a1330))) (let ((_let_199 (or _let_60 _let_58 _let_198))) (let ((_let_200 (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c3_1 X12) (not (tptp.c2_1 X12)))))) (let ((_let_201 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c2_1 X15) (tptp.c3_1 X15))))) (let ((_let_202 (or _let_31 _let_140 _let_142))) (let ((_let_203 (forall ((X11 $$unsorted)) (or (tptp.c0_1 X11) (tptp.c2_1 X11) (tptp.c3_1 X11))))) (let ((_let_204 (or _let_31 _let_142 _let_141))) (let ((_let_205 (not _let_198))) (let ((_let_206 (or _let_60 _let_58 _let_205))) (let ((_let_207 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_208 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_209 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_210 (or _let_209 _let_208 _let_207))) (let ((_let_211 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (not (tptp.c2_1 X16)) (not (tptp.c3_1 X16)))))) (let ((_let_212 (forall ((X60 $$unsorted)) (or (tptp.c1_1 X60) (tptp.c2_1 X60) (not (tptp.c3_1 X60)))))) (let ((_let_213 (forall ((X2 $$unsorted)) (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2))))) (let ((_let_214 (forall ((X52 $$unsorted)) (or (tptp.c0_1 X52) (not (tptp.c2_1 X52)) (not (tptp.c3_1 X52)))))) (let ((_let_215 (forall ((X63 $$unsorted)) (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c3_1 X63)))))) (let ((_let_216 (or _let_136 _let_134 _let_176))) (let ((_let_217 (forall ((X65 $$unsorted)) (or (tptp.c3_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65)))))) (let ((_let_218 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_219 (not _let_218))) (let ((_let_220 (or _let_171 _let_168 _let_219))) (let ((_let_221 (or _let_218 _let_170 _let_168))) (let ((_let_222 (forall ((X53 $$unsorted)) (or (tptp.c2_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c1_1 X53)))))) (let ((_let_223 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_163 (= Y X36)))))) (let ((_let_224 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_163 (= Y X64)))))) (let ((_let_225 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_163 (= Y X83)))))) (let ((_let_226 (or))) (let ((_let_227 (not _let_163))) (let ((_let_228 (_let_227))) (let ((_let_229 (not _let_94))) (let ((_let_230 (or _let_92 _let_90 _let_229))) (let ((_let_231 (not _let_95))) (let ((_let_232 (forall ((X42 $$unsorted)) (or (tptp.c0_1 X42) (tptp.c3_1 X42) (not (tptp.c2_1 X42)))))) (let ((_let_233 (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c3_1 X48) (not (tptp.c2_1 X48)))))) (let ((_let_234 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_235 (not _let_234))) (let ((_let_236 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_237 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_238 (or _let_237 _let_236 _let_235))) (let ((_let_239 (not _let_62))) (let ((_let_240 (or _let_60 _let_58 _let_239))) (let ((_let_241 (forall ((X54 $$unsorted)) (or (tptp.c1_1 X54) (tptp.c2_1 X54) (not (tptp.c0_1 X54)))))) (let ((_let_242 (forall ((X55 $$unsorted)) (or (tptp.c1_1 X55) (tptp.c3_1 X55) (not (tptp.c0_1 X55)))))) (let ((_let_243 (forall ((X33 $$unsorted)) (or (tptp.c1_1 X33) (tptp.c3_1 X33) (not (tptp.c0_1 X33)))))) (let ((_let_244 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_245 (not _let_244))) (let ((_let_246 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_247 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_248 (or _let_247 _let_246 _let_245))) (let ((_let_249 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_250 (not _let_249))) (let ((_let_251 (or _let_236 _let_250 _let_235))) (let ((_let_252 (or _let_237 _let_236 _let_250))) (let ((_let_253 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_200 (= X12 X42)))))) (let ((_let_254 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_200 (= X12 X48)))))) (let ((_let_255 (not _let_200))) (let ((_let_256 (_let_255))) (let ((_let_257 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_256)) :args _let_256)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_200))) (REFL :args ((not _let_238))) :args _let_226)))) (let ((_let_258 (CNF_OR_NEG :args (_let_238 0)))) (let ((_let_259 (CNF_OR_NEG :args (_let_238 1)))) (let ((_let_260 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_238 2)) (CONG (REFL :args (_let_238)) (MACRO_SR_PRED_INTRO :args ((= (not _let_235) _let_234))) :args _let_226)) :args ((or _let_234 _let_238))))) (let ((_let_261 (forall ((X40 $$unsorted)) (or (tptp.c0_1 X40) (tptp.c3_1 X40) (not (tptp.c2_1 X40)))))) (let ((_let_262 (forall ((X45 $$unsorted)) (or (tptp.c0_1 X45) (tptp.c3_1 X45) (not (tptp.c2_1 X45)))))) (let ((_let_263 (not _let_79))) (let ((_let_264 (not _let_80))) (let ((_let_265 (or _let_77 _let_264 _let_263))) (let ((_let_266 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_267 (not _let_266))) (let ((_let_268 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_269 (not _let_268))) (let ((_let_270 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_271 (or _let_270 _let_269 _let_267))) (let ((_let_272 (not _let_56))) (let ((_let_273 (tptp.c0_1 tptp.a1331))) (let ((_let_274 (not _let_273))) (let ((_let_275 (or _let_53 _let_274 _let_272))) (let ((_let_276 (not _let_55))) (let ((_let_277 (or _let_273 _let_272 _let_276))) (let ((_let_278 (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)))))) (let ((_let_279 (or _let_273 _let_53 _let_272))) (let ((_let_280 (forall ((X51 $$unsorted)) (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51)))))) (let ((_let_281 (not _let_44))) (let ((_let_282 (not _let_45))) (let ((_let_283 (or _let_42 _let_282 _let_281))) (let ((_let_284 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_285 (not _let_284))) (let ((_let_286 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_287 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_288 (or _let_287 _let_286 _let_285))) (let ((_let_289 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_290 (or _let_270 _let_289 _let_267))) (let ((_let_291 (not _let_51))) (let ((_let_292 (tptp.c0_1 tptp.a1333))) (let ((_let_293 (or _let_292 _let_49 _let_291))) (let ((_let_294 (forall ((X20 $$unsorted)) (or (tptp.c0_1 X20) (tptp.c2_1 X20) (not (tptp.c1_1 X20)))))) (let ((_let_295 (or _let_49 _let_47 _let_291))) (let ((_let_296 (or _let_268 _let_289 _let_267))) (let ((_let_297 (not _let_57))) (let ((_let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_200 (= X12 X40)))))) (let ((_let_299 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_200 (= X12 X45)))))) (let ((_let_300 (REORDERING (CNF_AND_POS :args (_let_57 1)) :args ((or _let_56 _let_297))))) (let ((_let_301 (REORDERING (CNF_AND_POS :args (_let_57 3)) :args ((or _let_54 _let_297))))) (let ((_let_302 (or _let_53 _let_272 _let_276))) (let ((_let_303 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_304 (not _let_303))) (let ((_let_305 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_306 (not _let_305))) (let ((_let_307 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_308 (or _let_307 _let_306 _let_304))) (let ((_let_309 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_310 (or _let_309 _let_286 _let_285))) (let ((_let_311 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_312 (or _let_307 _let_311 _let_304))) (let ((_let_313 (tptp.c1_1 tptp.a1319))) (let ((_let_314 (not _let_313))) (let ((_let_315 (or _let_92 _let_314 _let_229))) (let ((_let_316 (not _let_311))) (let ((_let_317 (or _let_307 _let_306 _let_316))) (let ((_let_318 (or _let_92 _let_90 _let_314))) (let ((_let_319 (forall ((X44 $$unsorted)) (or (tptp.c1_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c2_1 X44)))))) (let ((_let_320 (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (not (tptp.c2_1 X43)) (not (tptp.c3_1 X43)))))) (let ((_let_321 (not _let_286))) (let ((_let_322 (or _let_309 _let_321 _let_285))) (let ((_let_323 (or _let_309 _let_287 _let_285))) (let ((_let_324 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c3_1 X9)))))) (let ((_let_325 (forall ((X58 $$unsorted)) (or (tptp.c1_1 X58) (tptp.c2_1 X58) (not (tptp.c0_1 X58)))))) (let ((_let_326 (not _let_292))) (let ((_let_327 (or _let_47 _let_326 _let_291))) (let ((_let_328 (forall ((X29 $$unsorted)) (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29)))))) (let ((_let_329 (forall ((X30 $$unsorted)) (or (tptp.c0_1 X30) (not (tptp.c1_1 X30)) (not (tptp.c3_1 X30)))))) (let ((_let_330 (not _let_74))) (let ((_let_331 (not _let_75))) (let ((_let_332 (or _let_72 _let_331 _let_330))) (let ((_let_333 (forall ((X46 $$unsorted)) (or (tptp.c0_1 X46) (not (tptp.c2_1 X46)) (not (tptp.c3_1 X46)))))) (let ((_let_334 (forall ((X47 $$unsorted)) (or (not (tptp.c0_1 X47)) (not (tptp.c1_1 X47)) (not (tptp.c3_1 X47)))))) (let ((_let_335 (not _let_123))) (let ((_let_336 (not _let_124))) (let ((_let_337 (tptp.c0_1 tptp.a1309))) (let ((_let_338 (not _let_337))) (let ((_let_339 (or _let_338 _let_336 _let_335))) (let ((_let_340 (not _let_1))) (let ((_let_341 (not _let_2))) (let ((_let_342 (not _let_3))) (let ((_let_343 (or _let_342 _let_341 _let_340))) (let ((_let_344 (forall ((X76 $$unsorted)) (or (tptp.c1_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76)))))) (let ((_let_345 (forall ((X74 $$unsorted)) (or (tptp.c1_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74)))))) (let ((_let_346 (not _let_63))) (let ((_let_347 (REORDERING (CNF_AND_POS :args (_let_57 2)) :args ((or _let_55 _let_297))))) (let ((_let_348 (REORDERING (CNF_OR_POS :args (_let_302)) :args ((or _let_53 _let_272 _let_276 (not _let_302)))))) (let ((_let_349 (_let_217))) (let ((_let_350 ((not (= (tptp.c3_1 X65) true))))) (let ((_let_351 (ASSUME :args _let_349))) (let ((_let_352 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (tptp.a1331 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)))) (let ((_let_353 (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_62 _let_346))))) (let ((_let_354 (REORDERING (CNF_AND_POS :args (_let_63 2)) :args ((or _let_61 _let_346))))) (let ((_let_355 (REORDERING (CNF_AND_POS :args (_let_63 3)) :args ((or _let_59 _let_346))))) (let ((_let_356 (not _let_240))) (let ((_let_357 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_240)) :args ((or _let_60 _let_58 _let_239 _let_356))) _let_355 _let_354 _let_353 :args ((or _let_346 _let_356) true _let_58 true _let_60 false _let_62)))) (let ((_let_358 (_let_241))) (let ((_let_359 ((not (= (tptp.c1_1 X54) true))))) (let ((_let_360 (ASSUME :args _let_358))) (let ((_let_361 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_360 :args (tptp.a1330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_358)))) (let ((_let_362 (or _let_31 _let_140 _let_143))) (let ((_let_363 (or _let_249 _let_236 _let_235))) (let ((_let_364 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c3_1 V) (not (tptp.c2_1 V)))))) (let ((_let_365 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_366 (not _let_365))) (let ((_let_367 (or _let_247 _let_246 _let_366))) (let ((_let_368 (or _let_247 _let_245 _let_366))) (let ((_let_369 (or _let_38 _let_191 _let_180))) (let ((_let_370 (or _let_38 _let_36 _let_191))) (let ((_let_371 (AND_ELIM _let_156 :args (66)))) (let ((_let_372 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X60 X63)))))) (let ((_let_373 (_let_212))) (let ((_let_374 ((not (= (tptp.c1_1 X60) true))))) (let ((_let_375 (ASSUME :args _let_373))) (let ((_let_376 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (tptp.a1330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)))) (let ((_let_377 (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_60 _let_58 _let_205 (not _let_206)))))) (let ((_let_378 (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_60 _let_58 _let_198 (not _let_199)))))) (let ((_let_379 (_let_197))) (let ((_let_380 ((not (= (tptp.c1_1 X26) true))))) (let ((_let_381 (ASSUME :args _let_379))) (let ((_let_382 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a1330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)))) (let ((_let_383 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_197 (= X26 X35)))))) (let ((_let_384 (AND_ELIM _let_156 :args (51)))) (let ((_let_385 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_194 (= X24 X34)))))) (let ((_let_386 (_let_194))) (let ((_let_387 ((not (= (tptp.c0_1 X24) true))))) (let ((_let_388 (ASSUME :args _let_386))) (let ((_let_389 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a1339 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)))) (let ((_let_390 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)))) (let ((_let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)))) (let ((_let_392 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_237 _let_236 _let_250 (not _let_252)))))) (let ((_let_393 (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_236 _let_235 _let_249 (not _let_363)))))) (let ((_let_394 (or _let_237 _let_249 _let_235))) (let ((_let_395 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3)))))) (let ((_let_396 (forall ((X4 $$unsorted)) (or (tptp.c1_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4)))))) (let ((_let_397 (or _let_244 _let_247 _let_246))) (let ((_let_398 (not _let_248))) (let ((_let_399 (REORDERING (CNF_OR_POS :args (_let_394)) :args ((or _let_237 _let_235 _let_249 (not _let_394)))))) (let ((_let_400 (_let_364))) (let ((_let_401 (ASSUME :args _let_400))) (let ((_let_402 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 V) true))))) :args _let_400)))) (let ((_let_403 (_let_395))) (let ((_let_404 ((not (= (tptp.c0_1 X3) true))))) (let ((_let_405 (ASSUME :args _let_403))) (let ((_let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)))) (let ((_let_407 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_364 (= V X4)))))) (let ((_let_408 (not _let_364))) (let ((_let_409 (_let_408))) (let ((_let_410 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_409)) :args _let_409)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_408) _let_364))) (REFL :args ((not _let_367))) :args _let_226)))) (let ((_let_411 (AND_ELIM _let_156 :args (35)))) (let ((_let_412 (CNF_OR_NEG :args (_let_367 0)))) (let ((_let_413 (CNF_OR_NEG :args (_let_367 1)))) (let ((_let_414 (_let_213))) (let ((_let_415 (ASSUME :args _let_414))) (let ((_let_416 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X2) true))))) :args _let_414)))) (let ((_let_417 (_let_248))) (let ((_let_418 (REORDERING (CNF_OR_POS :args _let_417) :args ((or _let_247 _let_246 _let_245 _let_398))))) (let ((_let_419 (not _let_397))) (let ((_let_420 (REORDERING (CNF_OR_POS :args (_let_397)) :args ((or _let_247 _let_246 _let_244 _let_419))))) (let ((_let_421 (MACRO_RESOLUTION_TRUST _let_420 _let_418 _let_416 _let_413 _let_412 _let_411 _let_158 _let_410 _let_407 _let_406 _let_402 _let_399 _let_393 :args ((or _let_237 _let_236 _let_235 _let_249 _let_398) true _let_244 false _let_397 true _let_246 true _let_247 false _let_213 false tptp.ndr1_0 true _let_367 true _let_396 true _let_395 true _let_364 true _let_394 true _let_363)))) (let ((_let_422 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_367 2)) (CONG (REFL :args (_let_367)) (MACRO_SR_PRED_INTRO :args ((= (not _let_366) _let_365))) :args _let_226)) :args ((or _let_365 _let_367))))) (let ((_let_423 (not _let_368))) (let ((_let_424 (REORDERING (CNF_OR_POS :args (_let_368)) :args ((or _let_247 _let_366 _let_245 _let_423))))) (let ((_let_425 (_let_319))) (let ((_let_426 ((not (= (tptp.c1_1 X44) true))))) (let ((_let_427 (ASSUME :args _let_425))) (let ((_let_428 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_426)) :args _let_425)))) (let ((_let_429 (AND_ELIM _let_156 :args (55)))) (let ((_let_430 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= X16 X43)))))) (let ((_let_431 (_let_211))) (let ((_let_432 ((not (= (tptp.c0_1 X16) true))))) (let ((_let_433 (ASSUME :args _let_431))) (let ((_let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_435 (not _let_204))) (let ((_let_436 (not _let_362))) (let ((_let_437 (not _let_35))) (let ((_let_438 (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_34 _let_437))))) (let ((_let_439 (REORDERING (CNF_AND_POS :args (_let_35 2)) :args ((or _let_33 _let_437))))) (let ((_let_440 (REORDERING (CNF_AND_POS :args (_let_35 3)) :args ((or _let_32 _let_437))))) (let ((_let_441 (REORDERING (CNF_OR_POS :args (_let_362)) :args ((or _let_31 _let_143 _let_140 _let_436))))) (let ((_let_442 (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_31 _let_142 _let_141 _let_435))))) (let ((_let_443 (AND_ELIM _let_156 :args (20)))) (let ((_let_444 (REORDERING (AND_ELIM _let_156 :args (103)) :args ((or tptp.hskp18 tptp.hskp20))))) (let ((_let_445 (AND_ELIM _let_156 :args (18)))) (let ((_let_446 (not _let_41))) (let ((_let_447 (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_40 _let_446))))) (let ((_let_448 (REORDERING (CNF_AND_POS :args (_let_41 2)) :args ((or _let_39 _let_446))))) (let ((_let_449 (REORDERING (CNF_AND_POS :args (_let_41 3)) :args ((or _let_37 _let_446))))) (let ((_let_450 (not _let_369))) (let ((_let_451 (not _let_192))) (let ((_let_452 (REORDERING (CNF_OR_POS :args (_let_192)) :args ((or _let_38 _let_191 _let_179 _let_451))))) (let ((_let_453 (REORDERING (CNF_OR_POS :args (_let_369)) :args ((or _let_38 _let_191 _let_180 _let_450))))) (let ((_let_454 (not _let_370))) (let ((_let_455 (REORDERING (CNF_OR_POS :args (_let_370)) :args ((or _let_38 _let_36 _let_191 _let_454))))) (let ((_let_456 (_let_329))) (let ((_let_457 ((not (= (tptp.c0_1 X30) true))))) (let ((_let_458 (ASSUME :args _let_456))) (let ((_let_459 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a1339 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)))) (let ((_let_460 (not _let_181))) (let ((_let_461 (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_38 _let_36 _let_180 _let_460))))) (let ((_let_462 (_let_294))) (let ((_let_463 ((not (= (tptp.c0_1 X20) true))))) (let ((_let_464 (ASSUME :args _let_462))) (let ((_let_465 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_464 :args (tptp.a1339 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_463)) :args _let_462)))) (let ((_let_466 (_let_175))) (let ((_let_467 ((not (= (tptp.c0_1 X21) true))))) (let ((_let_468 (ASSUME :args _let_466))) (let ((_let_469 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (tptp.a1339 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_467)) :args _let_466)))) (let ((_let_470 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_294 (= X20 X25)))))) (let ((_let_471 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_175 (= X21 X29)))))) (let ((_let_472 (AND_ELIM _let_156 :args (47)))) (let ((_let_473 (AND_ELIM _let_156 :args (49)))) (let ((_let_474 (AND_ELIM _let_156 :args (11)))) (let ((_let_475 (_let_174))) (let ((_let_476 ((not (= (tptp.c1_1 X31) true))))) (let ((_let_477 (ASSUME :args _let_475))) (let ((_let_478 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_477 :args (tptp.a1324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_476)) :args _let_475)))) (let ((_let_479 (not _let_265))) (let ((_let_480 (not _let_81))) (let ((_let_481 (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_80 _let_480))))) (let ((_let_482 (REORDERING (CNF_AND_POS :args (_let_81 2)) :args ((or _let_79 _let_480))))) (let ((_let_483 (REORDERING (CNF_AND_POS :args (_let_81 3)) :args ((or _let_78 _let_480))))) (let ((_let_484 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_77 _let_264 _let_263 _let_479))) _let_483 _let_482 _let_481 :args ((or _let_480 _let_479) true _let_77 false _let_79 false _let_80)))) (let ((_let_485 (MACRO_RESOLUTION_TRUST _let_484 _let_478 _let_474 _let_473 _let_158 _let_472 _let_158 _let_471 _let_470 _let_469 _let_465 _let_461 _let_459 _let_455 _let_452 (MACRO_RESOLUTION_TRUST _let_453 _let_452 _let_448 _let_447 :args ((or _let_446 _let_451 _let_450) false _let_179 true _let_38 false _let_40)) _let_449 _let_448 _let_447 _let_445 _let_444 _let_443 (MACRO_RESOLUTION_TRUST _let_442 _let_441 _let_440 _let_439 _let_438 :args ((or _let_437 _let_436 _let_435) false _let_140 true _let_31 false _let_33 false _let_34)) _let_434 _let_430 _let_429 _let_158 _let_428 _let_424 _let_422 _let_410 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_248 2)) (CONG (REFL :args _let_417) (MACRO_SR_PRED_INTRO :args ((= (not _let_245) _let_244))) :args _let_226)) :args ((or _let_244 _let_248))) (REORDERING (CNF_OR_NEG :args (_let_248 0)) :args ((or (not _let_247) _let_248))) _let_402 _let_421 _let_393 _let_392 _let_391 _let_390 _let_389 _let_385 _let_384 _let_158 _let_383 _let_382 _let_378 _let_377 _let_376 _let_372 _let_371 _let_158 _let_224 _let_223 :args ((or _let_60 _let_58 _let_163 _let_232 _let_217 _let_237 _let_236 _let_235) false _let_265 false _let_81 false _let_174 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_328 true _let_173 true _let_175 true _let_294 true _let_181 true _let_329 true _let_370 false _let_179 true _let_369 true _let_36 true _let_38 false _let_40 false _let_41 false tptp.hskp18 true tptp.hskp20 true _let_35 false _let_204 false _let_211 false _let_320 false tptp.ndr1_0 true _let_319 true _let_368 false _let_365 true _let_367 false _let_244 true _let_247 true _let_364 true _let_248 true _let_363 true _let_249 false _let_252 false _let_362 false _let_192 false _let_194 false _let_195 false tptp.ndr1_0 true _let_196 true _let_197 true _let_199 true _let_198 false _let_206 false _let_212 false _let_215 false tptp.ndr1_0 true _let_165 true _let_164)))) (let ((_let_486 (_let_163))) (let ((_let_487 ((not (= (tptp.c3_1 Y) true))))) (let ((_let_488 (ASSUME :args _let_486))) (let ((_let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (tptp.a1331 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)))) (let ((_let_490 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (tptp.a1356 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)))) (let ((_let_491 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (tptp.a1333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)))) (let ((_let_492 (not _let_275))) (let ((_let_493 (not _let_277))) (let ((_let_494 (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_53 _let_272 _let_274 _let_492))))) (let ((_let_495 (MACRO_RESOLUTION_TRUST _let_494 (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_272 _let_276 _let_273 _let_493))) _let_301 _let_347 _let_300 :args ((or _let_297 _let_493 _let_492) false _let_273 true _let_53 false _let_55 false _let_56)))) (let ((_let_496 (not _let_161))) (let ((_let_497 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_25 _let_160 _let_159 _let_496))) (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_26 _let_162))) (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_27 _let_162))) (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_162))) :args ((or _let_162 _let_496) true _let_25 false _let_27 false _let_28)))) (let ((_let_498 (_let_278))) (let ((_let_499 (ASSUME :args _let_498))) (let ((_let_500 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_499 :args (tptp.a1331 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X14) false))))) :args _let_498)))) (let ((_let_501 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_53 _let_272 _let_273 (not _let_279)))))) (let ((_let_502 (AND_ELIM _let_156 :args (22)))) (let ((_let_503 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_278 (= X14 X51)))))) (let ((_let_504 ((not (= (tptp.c3_1 X24) true))))) (let ((_let_505 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a1331 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_386)))) (let ((_let_506 (forall ((X23 $$unsorted)) (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23)))))) (let ((_let_507 (or _let_337 _let_121 _let_335))) (let ((_let_508 (not _let_118))) (let ((_let_509 (not _let_119))) (let ((_let_510 (or _let_116 _let_509 _let_508))) (let ((_let_511 (or _let_311 _let_306 _let_304))) (let ((_let_512 (forall ((X6 $$unsorted)) (or (tptp.c2_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c3_1 X6)))))) (let ((_let_513 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c3_1 X5))))) (let ((_let_514 (tptp.c3_1 tptp.a1320))) (let ((_let_515 (not _let_514))) (let ((_let_516 (not _let_87))) (let ((_let_517 (or _let_83 _let_516 _let_515))) (let ((_let_518 (or _let_85 _let_83 _let_514))) (let ((_let_519 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_294 (= X20 X23)))))) (let ((_let_520 (AND_ELIM _let_156 :args (46)))) (let ((_let_521 (AND_ELIM _let_156 :args (9)))) (let ((_let_522 (not _let_88))) (let ((_let_523 (REORDERING (CNF_AND_POS :args (_let_88 1)) :args ((or _let_87 _let_522))))) (let ((_let_524 (REORDERING (CNF_AND_POS :args (_let_88 2)) :args ((or _let_86 _let_522))))) (let ((_let_525 (REORDERING (CNF_AND_POS :args (_let_88 3)) :args ((or _let_84 _let_522))))) (let ((_let_526 (or _let_85 _let_83 _let_515))) (let ((_let_527 (not _let_102))) (let ((_let_528 (or _let_100 _let_98 _let_527))) (let ((_let_529 (not _let_324))) (let ((_let_530 (_let_324))) (let ((_let_531 ((not (= (tptp.c1_1 X9) true))))) (let ((_let_532 (ASSUME :args _let_530))) (let ((_let_533 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_532 :args (tptp.a1320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_531)) :args _let_530)))) (let ((_let_534 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_532 :args (tptp.a1315 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_531)) :args _let_530)))) (let ((_let_535 (not _let_518))) (let ((_let_536 (not _let_526))) (let ((_let_537 (REORDERING (CNF_OR_POS :args (_let_518)) :args ((or _let_85 _let_83 _let_514 _let_535))))) (let ((_let_538 (REORDERING (CNF_OR_POS :args (_let_526)) :args ((or _let_85 _let_83 _let_515 _let_536))))) (let ((_let_539 ((not (= (tptp.c0_1 X2) true))))) (let ((_let_540 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a1320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_414)))) (let ((_let_541 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_542 (or _let_209 _let_541 _let_207))) (let ((_let_543 (not _let_208))) (let ((_let_544 (or _let_541 _let_207 _let_543))) (let ((_let_545 (or _let_209 _let_541 _let_543))) (let ((_let_546 (not _let_210))) (let ((_let_547 (not _let_213))) (let ((_let_548 (_let_547))) (let ((_let_549 ((not (= (tptp.c1_1 V) true))))) (let ((_let_550 (MACRO_RESOLUTION_TRUST _let_411 _let_158 _let_407 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_400)) (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_209 _let_541 _let_543 (not _let_545)))) (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_541 _let_207 _let_543 (not _let_544)))) (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_209 _let_207 _let_208 _let_546))) (CNF_OR_NEG :args (_let_542 2)) (CNF_OR_NEG :args (_let_542 1)) (CNF_OR_NEG :args (_let_542 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_548)) :args _let_548)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_547) _let_213))) (REFL :args ((not _let_542))) :args _let_226)) :args ((or _let_213 _let_546) false tptp.ndr1_0 true _let_396 true _let_395 true _let_364 true _let_545 true _let_544 false _let_208 true _let_207 true _let_541 true _let_209 true _let_542)))) (let ((_let_551 (_let_203))) (let ((_let_552 ((not (= (tptp.c0_1 X11) true))))) (let ((_let_553 (ASSUME :args _let_551))) (let ((_let_554 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)))) (let ((_let_555 (AND_ELIM _let_156 :args (40)))) (let ((_let_556 (AND_ELIM _let_156 :args (6)))) (let ((_let_557 (not _let_103))) (let ((_let_558 (REORDERING (CNF_AND_POS :args (_let_103 1)) :args ((or _let_102 _let_557))))) (let ((_let_559 (REORDERING (CNF_AND_POS :args (_let_103 2)) :args ((or _let_101 _let_557))))) (let ((_let_560 (REORDERING (CNF_AND_POS :args (_let_103 3)) :args ((or _let_99 _let_557))))) (let ((_let_561 (REORDERING (CNF_OR_POS :args (_let_528)) :args ((or _let_100 _let_98 _let_527 (not _let_528)))))) (let ((_let_562 (MACRO_RESOLUTION_TRUST _let_561 _let_560 _let_559 _let_558 _let_556 _let_555 _let_158 _let_554 _let_550 _let_540 (MACRO_RESOLUTION_TRUST _let_538 _let_537 _let_525 _let_524 :args ((or _let_522 _let_536 _let_535) false _let_514 true _let_83 true _let_85)) _let_534 _let_533 :args ((or _let_200 _let_522 _let_529) true _let_98 true _let_100 false _let_102 false _let_103 false tptp.hskp6 false tptp.ndr1_0 true _let_203 true _let_210 true _let_213 true _let_518 false _let_528 false _let_526)))) (let ((_let_563 (_let_529))) (let ((_let_564 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_563)) :args _let_563)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_529) _let_324))) (REFL :args ((not _let_323))) :args _let_226)))) (let ((_let_565 (or _let_60 _let_239 _let_205))) (let ((_let_566 (not _let_174))) (let ((_let_567 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_477 :args (tptp.a1330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_476)) :args _let_475)))) (let ((_let_568 (REORDERING (CNF_OR_POS :args (_let_565)) :args ((or _let_60 _let_239 _let_205 (not _let_565)))))) (let ((_let_569 (MACRO_RESOLUTION_TRUST _let_382 _let_472 _let_158 _let_378 _let_474 _let_568 _let_484 _let_567 _let_478 :args ((or _let_60 _let_58 _let_173 _let_239 _let_566) false _let_197 false tptp.ndr1_0 true _let_199 true tptp.hskp11 true _let_198 true _let_81 false _let_565 false _let_265)))) (let ((_let_570 (_let_566))) (let ((_let_571 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_570)) :args _let_570)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_566) _let_174))) (REFL :args ((not _let_308))) :args _let_226)))) (let ((_let_572 (CNF_OR_NEG :args (_let_308 0)))) (let ((_let_573 (REFL :args (_let_308)))) (let ((_let_574 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_308 1)) (CONG _let_573 (MACRO_SR_PRED_INTRO :args ((= (not _let_306) _let_305))) :args _let_226)) :args ((or _let_305 _let_308))))) (let ((_let_575 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_308 2)) (CONG _let_573 (MACRO_SR_PRED_INTRO :args ((= (not _let_304) _let_303))) :args _let_226)) :args ((or _let_303 _let_308))))) (let ((_let_576 (or _let_36 _let_179 _let_191))) (let ((_let_577 (AND_ELIM _let_156 :args (45)))) (let ((_let_578 (_let_193))) (let ((_let_579 ((not (= (tptp.c2_1 X22) true))))) (let ((_let_580 (ASSUME :args _let_578))) (let ((_let_581 (MACRO_RESOLUTION_TRUST _let_453 (REORDERING (CNF_OR_POS :args (_let_576)) :args ((or _let_36 _let_191 _let_179 (not _let_576)))) _let_459 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a1339 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) _let_473 _let_158 _let_577 _let_158 _let_471 _let_465 _let_455 :args ((or _let_38 _let_36 _let_175 _let_174 _let_191) false _let_179 false _let_369 false _let_576 false _let_329 false tptp.ndr1_0 false _let_193 false tptp.ndr1_0 true _let_328 true _let_294 true _let_370)))) (let ((_let_582 ((not (= (tptp.c2_1 X21) true))))) (let ((_let_583 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (tptp.a1309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_582)) :args _let_466)))) (let ((_let_584 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_467)) :args _let_466)))) (let ((_let_585 (not _let_310))) (let ((_let_586 (not _let_322))) (let ((_let_587 (CNF_OR_NEG :args (_let_323 0)))) (let ((_let_588 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_323 2)) (CONG (REFL :args (_let_323)) (MACRO_SR_PRED_INTRO :args ((= (not _let_285) _let_284))) :args _let_226)) :args ((or _let_284 _let_323))))) (let ((_let_589 (REORDERING (CNF_OR_POS :args (_let_322)) :args ((or _let_309 _let_285 _let_321 _let_586))))) (let ((_let_590 (REORDERING (CNF_OR_POS :args (_let_310)) :args ((or _let_309 _let_285 _let_286 _let_585))))) (let ((_let_591 (MACRO_RESOLUTION_TRUST _let_590 _let_589 _let_588 _let_587 :args ((or _let_323 _let_586 _let_585) true _let_286 false _let_284 true _let_309)))) (let ((_let_592 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_593 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= X16 X46)))))) (let ((_let_594 (AND_ELIM _let_156 :args (56)))) (let ((_let_595 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (tptp.a1311 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_426)) :args _let_425)))) (let ((_let_596 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_426)) :args _let_425)))) (let ((_let_597 (_let_334))) (let ((_let_598 ((not (= (tptp.c0_1 X47) false))))) (let ((_let_599 (ASSUME :args _let_597))) (let ((_let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a1309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_601 (not _let_510))) (let ((_let_602 (not _let_120))) (let ((_let_603 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_510)) :args ((or _let_116 _let_509 _let_508 _let_601))) (REORDERING (CNF_AND_POS :args (_let_120 3)) :args ((or _let_117 _let_602))) (REORDERING (CNF_AND_POS :args (_let_120 2)) :args ((or _let_118 _let_602))) (REORDERING (CNF_AND_POS :args (_let_120 1)) :args ((or _let_119 _let_602))) :args ((or _let_602 _let_601) true _let_116 false _let_118 false _let_119)))) (let ((_let_604 (REORDERING (CNF_OR_POS :args (_let_317)) :args ((or _let_307 _let_306 _let_316 (not _let_317)))))) (let ((_let_605 (not _let_339))) (let ((_let_606 (not _let_507))) (let ((_let_607 (not _let_125))) (let ((_let_608 (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_124 _let_607))))) (let ((_let_609 (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_123 _let_607))))) (let ((_let_610 (REORDERING (CNF_AND_POS :args (_let_125 3)) :args ((or _let_122 _let_607))))) (let ((_let_611 (REORDERING (CNF_OR_POS :args (_let_339)) :args ((or _let_336 _let_335 _let_338 _let_605))))) (let ((_let_612 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_507)) :args ((or _let_121 _let_335 _let_337 _let_606))) _let_611 _let_610 _let_609 _let_608 :args ((or _let_607 _let_606 _let_605) true _let_337 true _let_121 false _let_123 false _let_124)))) (let ((_let_613 (AND_ELIM _let_156 :args (3)))) (let ((_let_614 (REORDERING (CNF_OR_POS :args (_let_511)) :args ((or _let_306 _let_304 _let_311 (not _let_511)))))) (let ((_let_615 (AND_ELIM _let_156 :args (2)))) (let ((_let_616 (_let_512))) (let ((_let_617 ((not (= (tptp.c2_1 X6) true))))) (let ((_let_618 (ASSUME :args _let_616))) (let ((_let_619 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_618 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_617)) :args _let_616)))) (let ((_let_620 (not tptp.ndr1_0))) (let ((_let_621 (REORDERING (AND_ELIM _let_156 :args (75)) :args ((or tptp.hskp2 tptp.hskp22 _let_620 _let_344))))) (let ((_let_622 (AND_ELIM _let_156 :args (36)))) (let ((_let_623 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_345 (= X74 X76)))))) (let ((_let_624 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= X2 X5)))))) (let ((_let_625 (_let_345))) (let ((_let_626 ((not (= (tptp.c1_1 X74) true))))) (let ((_let_627 (ASSUME :args _let_625))) (let ((_let_628 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a1320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_626)) :args _let_625)))) (let ((_let_629 (REORDERING (CNF_OR_POS :args (_let_517)) :args ((or _let_83 _let_516 _let_515 (not _let_517)))))) (let ((_let_630 (MACRO_RESOLUTION_TRUST _let_537 _let_629 _let_540 _let_628 _let_624 _let_623 _let_622 _let_158 _let_621 _let_158 _let_619 _let_615 _let_614 _let_613 _let_612 _let_604 _let_603 _let_600 _let_596 _let_595 _let_594 _let_158 _let_429 _let_158 _let_593 _let_430 _let_592 _let_591 _let_584 _let_583 _let_581 _let_575 _let_574 _let_572 _let_571 _let_569 _let_564 _let_562 _let_525 _let_524 _let_523 _let_521 _let_520 _let_158 _let_470 _let_519 _let_465 _let_455 _let_449 _let_448 _let_447 _let_253 _let_299 :args ((or tptp.hskp22 _let_60 _let_58 _let_200 _let_194 _let_239 _let_446) true _let_514 false _let_518 false _let_517 false _let_213 false _let_345 false _let_513 false tptp.ndr1_0 false _let_344 false tptp.ndr1_0 true _let_512 true tptp.hskp2 true _let_511 true tptp.hskp3 true _let_125 true _let_311 true _let_120 false _let_339 false _let_317 false _let_510 false _let_334 false tptp.ndr1_0 false _let_319 false tptp.ndr1_0 true _let_333 true _let_320 true _let_211 true _let_322 false _let_310 false _let_507 false _let_175 false _let_303 false _let_305 true _let_307 true _let_308 true _let_174 true _let_323 true _let_324 true _let_83 true _let_85 false _let_87 false _let_88 false tptp.hskp9 false tptp.ndr1_0 true _let_173 true _let_506 true _let_294 true _let_370 true _let_36 true _let_38 false _let_40 true _let_232 true _let_262)))) (let ((_let_631 (AND_ELIM _let_156 :args (29)))) (let ((_let_632 (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_146 _let_145 (not _let_148)))))) (let ((_let_633 (_let_153))) (let ((_let_634 ((not (= (tptp.c1_1 X28) false))))) (let ((_let_635 (ASSUME :args _let_633))) (let ((_let_636 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_635 :args (tptp.a1338 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_634)) :args _let_633)))) (let ((_let_637 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_153 (= X28 X97)))))) (let ((_let_638 (REORDERING (AND_ELIM _let_156 :args (91)) :args ((or tptp.hskp11 tptp.hskp22 _let_620 _let_154))))) (let ((_let_639 (not _let_327))) (let ((_let_640 (not _let_175))) (let ((_let_641 (not _let_334))) (let ((_let_642 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (tptp.a1372 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)))) (let ((_let_643 (not _let_343))) (let ((_let_644 (not _let_4))) (let ((_let_645 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_343)) :args ((or _let_342 _let_341 _let_340 _let_643))) (REORDERING (CNF_AND_POS :args (_let_4 3)) :args ((or _let_1 _let_644))) (REORDERING (CNF_AND_POS :args (_let_4 2)) :args ((or _let_2 _let_644))) (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_644))) :args ((or _let_644 _let_643) false _let_1 false _let_2 false _let_3)))) (let ((_let_646 (AND_ELIM _let_156 :args (30)))) (let ((_let_647 (REORDERING (AND_ELIM _let_156 :args (93)) :args ((or tptp.hskp2 tptp.hskp9 tptp.hskp30))))) (let ((_let_648 (tptp.c2_1 tptp.a1324))) (let ((_let_649 (not _let_648))) (let ((_let_650 (or _let_77 _let_649 _let_263))) (let ((_let_651 (or _let_77 _let_648 _let_263))) (let ((_let_652 (or _let_648 _let_264 _let_263))) (let ((_let_653 (forall ((X61 $$unsorted)) (or (tptp.c1_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c2_1 X61)))))) (let ((_let_654 (forall ((X62 $$unsorted)) (or (tptp.c2_1 X62) (tptp.c3_1 X62) (not (tptp.c0_1 X62)))))) (let ((_let_655 (forall ((X18 $$unsorted)) (or (tptp.c2_1 X18) (tptp.c3_1 X18) (not (tptp.c0_1 X18)))))) (let ((_let_656 (not _let_15))) (let ((_let_657 (or _let_13 _let_11 _let_656))) (let ((_let_658 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_319 (= X44 X61)))))) (let ((_let_659 (AND_ELIM _let_156 :args (65)))) (let ((_let_660 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_655 (= X18 X62)))))) (let ((_let_661 (_let_655))) (let ((_let_662 ((not (= (tptp.c3_1 X18) true))))) (let ((_let_663 (ASSUME :args _let_661))) (let ((_let_664 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_663 :args (tptp.a1411 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_662)) :args _let_661)))) (let ((_let_665 (not _let_657))) (let ((_let_666 (not _let_16))) (let ((_let_667 (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_15 _let_666))))) (let ((_let_668 (REORDERING (CNF_AND_POS :args (_let_16 3)) :args ((or _let_12 _let_666))))) (let ((_let_669 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_657)) :args ((or _let_13 _let_11 _let_656 _let_665))) _let_668 (REORDERING (CNF_AND_POS :args (_let_16 2)) :args ((or _let_14 _let_666))) _let_667 :args ((or _let_666 _let_665) true _let_11 true _let_13 false _let_15)))) (let ((_let_670 (AND_ELIM _let_156 :args (26)))) (let ((_let_671 (REORDERING (AND_ELIM _let_156 :args (102)) :args ((or tptp.hskp12 tptp.hskp26))))) (let ((_let_672 (AND_ELIM _let_156 :args (12)))) (let ((_let_673 (not _let_332))) (let ((_let_674 (not _let_76))) (let ((_let_675 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_332)) :args ((or _let_72 _let_331 _let_330 _let_673))) (REORDERING (CNF_AND_POS :args (_let_76 3)) :args ((or _let_73 _let_674))) (REORDERING (CNF_AND_POS :args (_let_76 2)) :args ((or _let_74 _let_674))) (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_75 _let_674))) :args ((or _let_674 _let_673) true _let_72 false _let_74 false _let_75)))) (let ((_let_676 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a1325 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)))) (let ((_let_677 (MACRO_RESOLUTION_TRUST _let_676 _let_473 _let_158 _let_675 _let_471 _let_672 _let_584 _let_671 _let_590 _let_670 _let_589 _let_669 _let_588 _let_587 _let_664 _let_564 _let_592 _let_660 _let_534 _let_430 _let_659 _let_158 _let_561 _let_429 _let_158 _let_658 _let_560 _let_559 _let_558 _let_595 _let_556 _let_603 _let_555 _let_158 _let_613 _let_554 _let_622 _let_158 _let_550 _let_624 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_618 :args (tptp.a1324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_617)) :args _let_616)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (tptp.a1324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_540 (REORDERING (CNF_OR_POS :args (_let_652)) :args ((or _let_264 _let_263 _let_648 (not _let_652)))) (REORDERING (CNF_OR_POS :args (_let_651)) :args ((or _let_77 _let_263 _let_648 (not _let_651)))) _let_537 (REORDERING (CNF_OR_POS :args (_let_650)) :args ((or _let_77 _let_263 _let_649 (not _let_650)))) _let_629 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a1324 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_626)) :args _let_625)) _let_628 _let_253 :args ((or _let_85 _let_83 _let_77 _let_200 _let_174 _let_516 _let_264 _let_263 (not _let_345)) false _let_329 false tptp.ndr1_0 true _let_332 true _let_328 false _let_76 true _let_175 false tptp.hskp12 true _let_310 true tptp.hskp26 true _let_286 true _let_16 false _let_284 true _let_309 false _let_657 true _let_323 false _let_322 false _let_655 true _let_324 false _let_211 false _let_654 false tptp.ndr1_0 true _let_528 false _let_320 false tptp.ndr1_0 true _let_653 true _let_98 true _let_100 false _let_102 true _let_319 false _let_103 true _let_510 false tptp.hskp6 false tptp.ndr1_0 false _let_120 true _let_203 false tptp.hskp3 false tptp.ndr1_0 true _let_210 true _let_513 true _let_512 true _let_212 true _let_213 true _let_652 true _let_651 true _let_518 true _let_648 true _let_514 false _let_650 false _let_517 true _let_232)))) (let ((_let_678 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_433 :args (tptp.a1334 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)))) (let ((_let_679 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_464 :args (tptp.a1333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_463)) :args _let_462)))) (let ((_let_680 (not _let_283))) (let ((_let_681 (not _let_46))) (let ((_let_682 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_42 _let_282 _let_281 _let_680))) (REORDERING (CNF_AND_POS :args (_let_46 3)) :args ((or _let_43 _let_681))) (REORDERING (CNF_AND_POS :args (_let_46 2)) :args ((or _let_44 _let_681))) (REORDERING (CNF_AND_POS :args (_let_46 1)) :args ((or _let_45 _let_681))) :args ((or _let_681 _let_680) true _let_42 false _let_44 false _let_45)))) (let ((_let_683 (AND_ELIM _let_156 :args (17)))) (let ((_let_684 (AND_ELIM _let_156 :args (59)))) (let ((_let_685 (AND_ELIM _let_156 :args (16)))) (let ((_let_686 (not _let_52))) (let ((_let_687 (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 _let_686))))) (let ((_let_688 (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_50 _let_686))))) (let ((_let_689 (REORDERING (CNF_AND_POS :args (_let_52 3)) :args ((or _let_48 _let_686))))) (let ((_let_690 (REORDERING (CNF_OR_POS :args (_let_327)) :args ((or _let_47 _let_291 _let_326 _let_639))))) (let ((_let_691 (not _let_293))) (let ((_let_692 (REORDERING (CNF_OR_POS :args (_let_293)) :args ((or _let_49 _let_291 _let_292 _let_691))))) (let ((_let_693 (MACRO_RESOLUTION_TRUST _let_692 _let_690 _let_689 _let_688 _let_687 :args ((or _let_686 _let_639 _let_691) true _let_292 true _let_47 true _let_49 false _let_51)))) (let ((_let_694 (or _let_337 _let_336 _let_335))) (let ((_let_695 (not _let_694))) (let ((_let_696 (REORDERING (CNF_OR_POS :args (_let_694)) :args ((or _let_336 _let_335 _let_337 _let_695))))) (let ((_let_697 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a1309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)))) (let ((_let_698 (MACRO_RESOLUTION_TRUST _let_473 _let_158 _let_697 _let_471 _let_696 _let_583 _let_611 _let_612 _let_609 _let_608 :args ((or _let_174 _let_607 _let_605) false tptp.ndr1_0 true _let_329 true _let_328 true _let_694 true _let_175 true _let_337 true _let_507 false _let_123 false _let_124)))) (let ((_let_699 (MACRO_RESOLUTION_TRUST _let_677 _let_525 _let_524 _let_523 _let_521 _let_623 _let_647 _let_621 _let_158 _let_646 _let_615 _let_645 _let_698 _let_642 _let_600 _let_594 _let_158 _let_593 _let_678 _let_682 _let_683 _let_684 _let_158 _let_685 _let_693 _let_679 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_294 (= X20 X27)))) (AND_ELIM _let_156 :args (48)) _let_158 _let_672 _let_675 _let_676 _let_473 _let_158 _let_471 (MACRO_RESOLUTION_TRUST _let_692 _let_690 _let_689 _let_688 _let_687 _let_685 _let_684 _let_158 _let_683 _let_682 _let_679 _let_519 _let_520 _let_158 _let_521 _let_562 _let_564 _let_591 _let_592 _let_678 _let_593 _let_594 _let_158 (MACRO_RESOLUTION_TRUST _let_677 _let_525 _let_524 _let_523 _let_521 _let_623 _let_647 _let_621 _let_158 _let_646 _let_615 _let_645 _let_612 _let_642 _let_600 :args ((or tptp.hskp22 _let_77 _let_200 _let_174 _let_264 _let_263 _let_641 _let_606) true _let_83 true _let_85 false _let_87 false _let_88 false _let_345 false tptp.hskp9 false _let_344 false tptp.ndr1_0 true tptp.hskp30 true tptp.hskp2 true _let_4 true _let_125 false _let_343 false _let_339)) _let_584 _let_583 _let_299 :args ((or tptp.hskp22 _let_77 _let_200 _let_194 _let_174 _let_280 _let_264 _let_263 _let_640 _let_639) true _let_292 true _let_47 true _let_49 false _let_51 false _let_52 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp17 true _let_46 false _let_293 false _let_294 false _let_506 false tptp.ndr1_0 true tptp.hskp9 true _let_88 false _let_324 false _let_323 false _let_322 false _let_283 false _let_211 false _let_333 false tptp.ndr1_0 true _let_334 false _let_310 false _let_507 true _let_262)) _let_478 _let_484 _let_483 _let_482 _let_481 _let_474 _let_638 _let_158 _let_637 _let_636 _let_632 _let_152 _let_151 _let_150 _let_631 (REORDERING (AND_ELIM _let_156 :args (63)) :args ((or tptp.hskp18 tptp.hskp29 _let_620 _let_325))) _let_158 _let_445 _let_630 _let_505 _let_503 _let_502 _let_501 _let_500 _let_497 _let_494 _let_495 _let_491 _let_490 _let_489 _let_485 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_241 (= X54 X58)))) _let_361 _let_357 _let_355 _let_354 _let_353 _let_352 _let_348 _let_347 _let_253 _let_259 _let_258 _let_260 _let_257 _let_301 _let_300 _let_299 :args ((or _let_200 _let_346 _let_297) true _let_83 true _let_85 false _let_87 false _let_88 false _let_345 false tptp.hskp9 false _let_344 false tptp.ndr1_0 true tptp.hskp30 true tptp.hskp2 true _let_4 true _let_125 false _let_343 false _let_339 false _let_334 false tptp.ndr1_0 true _let_333 true _let_211 true _let_283 false _let_46 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp16 true _let_52 false _let_293 false _let_294 false (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27)))) false tptp.ndr1_0 true tptp.hskp12 true _let_76 false _let_332 false _let_329 false tptp.ndr1_0 true _let_328 true _let_175 true _let_174 true _let_265 true _let_77 false _let_79 false _let_80 false _let_81 false tptp.hskp11 false tptp.ndr1_0 true _let_154 true _let_153 true _let_148 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp29 false tptp.ndr1_0 true tptp.hskp18 true _let_41 true _let_194 true _let_280 true tptp.hskp22 true _let_279 true _let_278 true _let_29 true _let_273 true _let_277 false _let_327 false _let_161 false _let_275 false _let_163 true _let_325 true _let_241 true _let_240 true _let_58 true _let_60 false _let_62 true _let_217 true _let_302 false _let_55 true _let_232 true _let_236 true _let_237 false _let_234 true _let_238 true _let_53 false _let_56 true _let_262)))) (let ((_let_700 (AND_ELIM _let_156 :args (14)))) (let ((_let_701 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_702 (not _let_701))) (let ((_let_703 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_704 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_705 (or _let_704 _let_703 _let_702))) (let ((_let_706 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_707 (not _let_706))) (let ((_let_708 (or _let_704 _let_707 _let_702))) (let ((_let_709 (or _let_706 _let_703 _let_702))) (let ((_let_710 (_let_640))) (let ((_let_711 (MACRO_RESOLUTION_TRUST _let_537 _let_629 _let_525 _let_524 _let_523 _let_628 _let_521 _let_623 _let_647 _let_621 _let_158 _let_646 _let_615 _let_645 _let_698 _let_642 _let_600 :args ((or tptp.hskp22 _let_174 _let_641 _let_535) true _let_514 true _let_83 true _let_85 false _let_87 false _let_517 false _let_88 false _let_345 false tptp.hskp9 false _let_344 false tptp.ndr1_0 true tptp.hskp30 true tptp.hskp2 true _let_4 true _let_125 false _let_343 false _let_339)))) (let ((_let_712 (not _let_295))) (let ((_let_713 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_295)) :args ((or _let_49 _let_47 _let_291 _let_712))) _let_689 _let_688 _let_687 :args ((or _let_686 _let_712) true _let_47 true _let_49 false _let_51)))) (let ((_let_714 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a1333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)))) (let ((_let_715 (MACRO_RESOLUTION_TRUST _let_577 _let_158 _let_679 _let_714 _let_693 _let_713 _let_685 _let_684 _let_158 _let_683 _let_682 _let_678 _let_593 _let_594 _let_158 _let_711 _let_540 _let_624 _let_622 _let_158 _let_619 _let_614 _let_613 _let_604 _let_603 _let_596 _let_595 _let_503 _let_658 _let_502 _let_500 _let_659 _let_158 _let_497 _let_495 _let_660 _let_491 _let_490 _let_489 _let_664 _let_224 _let_669 _let_371 _let_158 _let_670 _let_372 _let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_672 (REORDERING (CNF_OR_POS :args (_let_709)) :args ((or _let_703 _let_702 _let_706 (not _let_709)))) _let_675 (REORDERING (CNF_OR_POS :args (_let_708)) :args ((or _let_704 _let_702 _let_707 (not _let_708)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_676 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_705 2)) (CONG (REFL :args (_let_705)) (MACRO_SR_PRED_INTRO :args ((= (not _let_702) _let_701))) :args _let_226)) :args ((or _let_701 _let_705))) (CNF_OR_NEG :args (_let_705 1)) (CNF_OR_NEG :args (_let_705 0)) _let_473 _let_158 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_710)) :args _let_710)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_640) _let_175))) (REFL :args ((not _let_705))) :args _let_226)) _let_471 _let_352 _let_348 _let_347 _let_300 _let_301 _let_572 _let_575 _let_574 _let_571 :args ((or _let_175 _let_174 _let_262 _let_297) false tptp.ndr1_0 true _let_294 true _let_193 true _let_293 true _let_295 false _let_52 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp17 true _let_46 false _let_283 false _let_211 false _let_333 false tptp.ndr1_0 true _let_334 false _let_518 false _let_213 false _let_513 false tptp.ndr1_0 true _let_512 true _let_511 true tptp.hskp3 true _let_311 true _let_120 false _let_317 false _let_510 true _let_280 false _let_319 true tptp.hskp22 true _let_278 false _let_653 false tptp.ndr1_0 true _let_29 true _let_277 true _let_654 false _let_327 false _let_161 false _let_275 true _let_655 false _let_163 true _let_657 false _let_165 false tptp.ndr1_0 false _let_16 true _let_215 false tptp.hskp26 true _let_212 true tptp.hskp12 true _let_709 true _let_76 true _let_706 false _let_708 false _let_332 false _let_701 true _let_703 true _let_704 false _let_329 false tptp.ndr1_0 true _let_705 true _let_328 true _let_217 true _let_302 false _let_55 false _let_56 true _let_53 true _let_307 false _let_303 false _let_305 true _let_308)))) (let ((_let_716 (forall ((X90 $$unsorted)) (or (tptp.c3_1 X90) (not (tptp.c1_1 X90)) (not (tptp.c2_1 X90)))))) (let ((_let_717 (not _let_108))) (let ((_let_718 (or _let_106 _let_104 _let_717))) (let ((_let_719 (not _let_718))) (let ((_let_720 (not _let_109))) (let ((_let_721 (REORDERING (CNF_AND_POS :args (_let_109 2)) :args ((or _let_107 _let_720))))) (let ((_let_722 (REORDERING (CNF_AND_POS :args (_let_109 3)) :args ((or _let_105 _let_720))))) (let ((_let_723 (AND_ELIM _let_156 :args (5)))) (let ((_let_724 (or _let_68 _let_66 _let_64))) (let ((_let_725 (forall ((X82 $$unsorted)) (or (tptp.c2_1 X82) (tptp.c3_1 X82) (not (tptp.c1_1 X82)))))) (let ((_let_726 (MACRO_RESOLUTION_TRUST _let_684 _let_158 _let_503 _let_685 _let_500 _let_693 _let_495 _let_491 _let_489 :args ((or tptp.hskp17 _let_297 _let_227 _let_691) false tptp.ndr1_0 true _let_280 true tptp.hskp16 true _let_278 true _let_52 true _let_277 false _let_327 false _let_275)))) (let ((_let_727 (REORDERING (AND_ELIM _let_156 :args (81)) :args ((or tptp.hskp8 tptp.hskp14 _let_620 _let_166))))) (let ((_let_728 (AND_ELIM _let_156 :args (8)))) (let ((_let_729 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (tptp.a1326 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)))) (let ((_let_730 (or _let_92 _let_313 _let_90))) (let ((_let_731 (or _let_313 _let_90 _let_229))) (let ((_let_732 (or _let_92 _let_313 _let_229))) (let ((_let_733 (not _let_315))) (let ((_let_734 (REORDERING (CNF_AND_POS :args (_let_95 1)) :args ((or _let_94 _let_231))))) (let ((_let_735 (REORDERING (CNF_AND_POS :args (_let_95 2)) :args ((or _let_93 _let_231))))) (let ((_let_736 (REORDERING (CNF_AND_POS :args (_let_95 3)) :args ((or _let_91 _let_231))))) (let ((_let_737 (_let_315))) (let ((_let_738 (REORDERING (CNF_OR_POS :args _let_737) :args ((or _let_92 _let_229 _let_314 _let_733))))) (let ((_let_739 (not _let_730))) (let ((_let_740 (MACRO_RESOLUTION_TRUST _let_411 _let_158 _let_407 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_400)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_414)) (REORDERING (CNF_OR_POS :args (_let_732)) :args ((or _let_92 _let_229 _let_313 (not _let_732)))) (REORDERING (CNF_OR_POS :args (_let_731)) :args ((or _let_90 _let_229 _let_313 (not _let_731)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_730)) :args ((or _let_92 _let_90 _let_313 _let_739))) _let_738 _let_736 _let_735 _let_734 :args ((or _let_231 _let_733 _let_739) true _let_313 true _let_90 true _let_92 false _let_94)) _let_738 _let_736 _let_735 _let_734 :args ((or _let_231 _let_733) false tptp.ndr1_0 true _let_396 true _let_395 true _let_364 true _let_213 true _let_732 true _let_731 true _let_730 true _let_313 true _let_90 true _let_92 false _let_94)))) (let ((_let_741 ((not (= (tptp.c0_1 X14) true))))) (let ((_let_742 (AND_ELIM _let_156 :args (13)))) (let ((_let_743 (not _let_70))) (let ((_let_744 (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_743))))) (let ((_let_745 (REORDERING (CNF_AND_POS :args (_let_70 2)) :args ((or _let_67 _let_743))))) (let ((_let_746 (REORDERING (CNF_AND_POS :args (_let_70 3)) :args ((or _let_65 _let_743))))) (let ((_let_747 (not _let_724))) (let ((_let_748 (REORDERING (CNF_OR_POS :args (_let_724)) :args ((or _let_68 _let_66 _let_64 _let_747))))) (let ((_let_749 (MACRO_RESOLUTION_TRUST _let_748 _let_746 _let_745 _let_744 _let_742 (REORDERING (AND_ELIM _let_156 :args (80)) :args ((or tptp.hskp13 tptp.hskp14 _let_620 _let_725))) _let_158 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_193 (= X22 X82)))) _let_714 _let_713 _let_685 _let_684 _let_158 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_499 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_741)) :args _let_498)) _let_740 _let_729 _let_728 _let_383 _let_727 _let_158 _let_384 _let_158 _let_225 _let_223 _let_726 _let_679 _let_519 _let_520 _let_158 _let_385 :args ((or tptp.hskp9 tptp.hskp14 tptp.hskp17 _let_194 _let_297) true _let_64 true _let_66 true _let_68 false _let_70 false tptp.hskp13 false tptp.ndr1_0 true _let_725 true _let_193 true _let_295 false _let_52 false tptp.hskp16 false tptp.ndr1_0 true _let_280 true _let_278 true _let_315 false _let_724 false _let_95 false _let_197 false tptp.hskp8 false tptp.ndr1_0 false _let_196 false tptp.ndr1_0 true _let_166 true _let_164 true _let_163 false _let_293 false _let_294 false _let_506 false tptp.ndr1_0 true _let_195)))) (let ((_let_750 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_315 1)) (CONG (REFL :args _let_737) (MACRO_SR_PRED_INTRO :args ((= (not _let_314) _let_313))) :args _let_226)) :args ((or _let_313 _let_315))))) (let ((_let_751 (REORDERING (CNF_OR_POS :args (_let_318)) :args ((or _let_92 _let_90 _let_314 (not _let_318)))))) (let ((_let_752 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)))) (let ((_let_753 (not _let_130))) (let ((_let_754 (or _let_128 _let_126 _let_753))) (let ((_let_755 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_756 (not _let_755))) (let ((_let_757 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_758 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_759 (or _let_758 _let_757 _let_756))) (let ((_let_760 (or _let_758 _let_757 _let_755))) (let ((_let_761 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_762 (not _let_761))) (let ((_let_763 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_764 (not _let_763))) (let ((_let_765 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_766 (or _let_765 _let_764 _let_762))) (let ((_let_767 (not _let_114))) (let ((_let_768 (or _let_112 _let_110 _let_767))) (let ((_let_769 (or _let_765 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) _let_764))) (let ((_let_770 (or _let_765 _let_761 _let_764))) (let ((_let_771 (or _let_758 _let_757 (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)))) (let ((_let_773 (not _let_288))) (let ((_let_774 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_287 _let_285 _let_286 _let_773))) _let_589 _let_588 (CNF_OR_NEG :args (_let_323 1)) _let_587 _let_564 _let_562 _let_521 _let_749 _let_683 _let_682 _let_592 _let_678 _let_700 _let_699 :args ((or _let_200 _let_194 _let_297 (not _let_211) _let_773) true _let_286 false _let_284 true _let_287 true _let_309 true _let_323 true _let_324 false _let_88 false tptp.hskp9 true tptp.hskp17 true _let_46 false _let_322 false _let_283 true tptp.hskp14 true _let_63)))) (let ((_let_775 (not _let_754))) (let ((_let_776 (AND_ELIM _let_156 :args (4)))) (let ((_let_777 (not _let_768))) (let ((_let_778 (not _let_115))) (let ((_let_779 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_768)) :args ((or _let_112 _let_110 _let_767 _let_777))) (REORDERING (CNF_AND_POS :args (_let_115 3)) :args ((or _let_111 _let_778))) (REORDERING (CNF_AND_POS :args (_let_115 2)) :args ((or _let_113 _let_778))) (REORDERING (CNF_AND_POS :args (_let_115 1)) :args ((or _let_114 _let_778))) :args ((or _let_778 _let_777) true _let_110 true _let_112 false _let_114)))) (let ((_let_780 (_let_243))) (let ((_let_781 ((not (= (tptp.c1_1 X33) true))))) (let ((_let_782 (ASSUME :args _let_780))) (let ((_let_783 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_782 :args (tptp.a1312 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_781)) :args _let_780)))) (let ((_let_784 (not _let_243))) (let ((_let_785 (_let_784))) (let ((_let_786 (not _let_766))) (let ((_let_787 (not _let_770))) (let ((_let_788 (not _let_241))) (let ((_let_789 (_let_788))) (let ((_let_790 (or _let_337 _let_121 _let_336))) (let ((_let_791 (forall ((X32 $$unsorted)) (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c3_1 X32)))))) (let ((_let_792 (forall ((X41 $$unsorted)) (or (tptp.c0_1 X41) (not (tptp.c1_1 X41)) (not (tptp.c3_1 X41)))))) (let ((_let_793 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_175 (= X21 X32)))))) (let ((_let_794 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_329 (= X30 X41)))))) (let ((_let_795 (AND_ELIM _let_156 :args (54)))) (let ((_let_796 (MACRO_RESOLUTION_TRUST _let_748 _let_746 _let_745 _let_744 :args ((or _let_743 _let_747) true _let_64 true _let_66 true _let_68)))) (let ((_let_797 (AND_ELIM _let_156 :args (50)))) (let ((_let_798 (or _let_83 _let_514 _let_516))) (let ((_let_799 (or _let_244 _let_247 _let_366))) (let ((_let_800 (not _let_212))) (let ((_let_801 (_let_800))) (let ((_let_802 (AND_ELIM _let_156 :args (15)))) (let ((_let_803 (tptp.c2_1 tptp.a1314))) (let ((_let_804 (not _let_803))) (let ((_let_805 (or _let_106 _let_104 _let_804))) (let ((_let_806 (or _let_106 _let_803 _let_104))) (let ((_let_807 (or _let_292 _let_49 _let_47))) (let ((_let_808 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_809 (not _let_808))) (let ((_let_810 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_811 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_812 (or _let_811 _let_810 _let_809))) (let ((_let_813 (or _let_60 _let_198 _let_239))) (let ((_let_814 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_815 (or _let_814 _let_810 _let_809))) (let ((_let_816 (not _let_811))) (let ((_let_817 (or _let_810 _let_809 _let_816))) (let ((_let_818 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_782 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_781)) :args _let_780)))) (let ((_let_819 (or _let_31 _let_143 _let_141))) (let ((_let_820 (or _let_49 _let_47 _let_326))) (let ((_let_821 (or _let_814 _let_809 _let_816))) (let ((_let_822 (not _let_813))) (let ((_let_823 (not _let_812))) (let ((_let_824 (_let_200))) (let ((_let_825 ((not (= (tptp.c0_1 X12) true))))) (let ((_let_826 (ASSUME :args _let_824))) (let ((_let_827 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1314 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)))) (let ((_let_828 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)))) (let ((_let_829 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1319 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)))) (let ((_let_830 (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_31 _let_142 _let_140 (not _let_202)))))) (let ((_let_831 (AND_ELIM _let_156 :args (42)))) (let ((_let_832 (not _let_230))) (let ((_let_833 (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_92 _let_90 _let_229 _let_832))))) (let ((_let_834 (MACRO_RESOLUTION_TRUST _let_833 _let_736 _let_735 _let_734 _let_728 _let_831 _let_158 _let_434 _let_442 _let_830 _let_828 _let_829 :args ((or _let_31 _let_201 _let_142 _let_255) true _let_90 true _let_92 false _let_94 false _let_95 false tptp.hskp8 false tptp.ndr1_0 true _let_211 true _let_204 false _let_140 false _let_202 false _let_230)))) (let ((_let_835 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_203 (= X11 X15)))))) (let ((_let_836 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a1314 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)))) (let ((_let_837 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a1333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)))) (let ((_let_838 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_211 (= X16 X52)))))) (let ((_let_839 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a1306 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_414)))) (let ((_let_840 (not _let_806))) (let ((_let_841 (not _let_805))) (let ((_let_842 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_806)) :args ((or _let_106 _let_104 _let_803 _let_840))) (REORDERING (CNF_OR_POS :args (_let_805)) :args ((or _let_106 _let_104 _let_804 _let_841))) _let_722 _let_721 :args ((or _let_720 _let_841 _let_840) true _let_803 true _let_104 true _let_106)))) (let ((_let_843 (REORDERING (AND_ELIM _let_156 :args (105)) :args ((or tptp.hskp5 tptp.hskp16 tptp.hskp18))))) (let ((_let_844 (not _let_807))) (let ((_let_845 (not _let_820))) (let ((_let_846 (REORDERING (CNF_OR_POS :args (_let_807)) :args ((or _let_49 _let_47 _let_292 _let_844))))) (let ((_let_847 (not _let_655))) (let ((_let_848 (_let_847))) (let ((_let_849 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_848)) :args _let_848)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_847) _let_655))) (REFL :args ((not _let_815))) :args _let_226)))) (let ((_let_850 (CNF_OR_NEG :args (_let_815 1)))) (let ((_let_851 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_815 2)) (CONG (REFL :args (_let_815)) (MACRO_SR_PRED_INTRO :args ((= (not _let_809) _let_808))) :args _let_226)) :args ((or _let_808 _let_815))))) (let ((_let_852 (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_810 _let_809 _let_811 _let_823))))) (let ((_let_853 (AND_ELIM _let_156 :args (57)))) (let ((_let_854 (MACRO_RESOLUTION_TRUST _let_833 _let_736 _let_735 _let_734 _let_829 _let_728 _let_254 _let_727 _let_158 _let_853 _let_158 :args ((or tptp.hskp14 tptp.hskp15 _let_166) true _let_90 true _let_92 false _let_94 false _let_230 false _let_95 false _let_200 false tptp.hskp8 false tptp.ndr1_0 false _let_233 false tptp.ndr1_0)))) (let ((_let_855 (_let_222))) (let ((_let_856 ((not (= (tptp.c2_1 X53) true))))) (let ((_let_857 (ASSUME :args _let_855))) (let ((_let_858 (AND_ELIM _let_156 :args (60)))) (let ((_let_859 (REORDERING (CNF_OR_POS :args (_let_813)) :args ((or _let_60 _let_239 _let_198 _let_822))))) (let ((_let_860 (AND_ELIM _let_156 :args (0)))) (let ((_let_861 (not _let_138))) (let ((_let_862 (REORDERING (CNF_AND_POS :args (_let_138 1)) :args ((or _let_137 _let_861))))) (let ((_let_863 (REORDERING (CNF_AND_POS :args (_let_138 2)) :args ((or _let_135 _let_861))))) (let ((_let_864 (REORDERING (CNF_AND_POS :args (_let_138 3)) :args ((or _let_133 _let_861))))) (let ((_let_865 (not _let_216))) (let ((_let_866 (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_136 _let_134 _let_176 _let_865))))) (let ((_let_867 (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_136 _let_132 _let_177 (not _let_178)))))) (let ((_let_868 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (tptp.a1306 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_467)) :args _let_466)))) (let ((_let_869 (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_236 _let_235 _let_250 (not _let_251)))))) (let ((_let_870 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)))) (let ((_let_871 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_243 (= X33 X55)))))) (let ((_let_872 (AND_ELIM _let_156 :args (61)))) (let ((_let_873 (MACRO_RESOLUTION_TRUST _let_690 _let_846 _let_689 _let_688 _let_687 _let_685 _let_843 _let_723 _let_842 _let_837 _let_836 _let_835 _let_491 _let_834 _let_827 _let_225 _let_254 _let_854 _let_853 _let_158 _let_700 _let_357 _let_361 _let_872 _let_158 _let_871 (MACRO_RESOLUTION_TRUST _let_852 (REORDERING (CNF_OR_POS :args (_let_817)) :args ((or _let_810 _let_809 _let_816 (not _let_817)))) _let_851 _let_850 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)) _let_849 _let_224 _let_664 _let_371 _let_158 _let_669 _let_372 _let_670 _let_376 _let_671 _let_377 _let_672 _let_870 _let_859 _let_675 _let_869 _let_355 _let_354 _let_353 _let_676 _let_421 _let_700 _let_794 _let_260 _let_259 _let_258 _let_853 _let_158 _let_795 _let_158 _let_257 _let_254 _let_298 (MACRO_RESOLUTION_TRUST _let_868 _let_471 _let_867 _let_473 _let_158 _let_866 _let_567 _let_864 _let_863 _let_862 _let_568 _let_860 _let_859 _let_858 _let_158 _let_354 _let_353 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_857 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_856)) :args _let_855)) _let_700 (REORDERING (CNF_OR_POS :args (_let_821)) :args ((or _let_814 _let_809 _let_816 (not _let_821)))) _let_854 _let_852 _let_225 _let_851 _let_850 (CNF_OR_NEG :args (_let_815 0)) _let_491 _let_849 _let_690 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_663 :args (tptp.a1333 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_662)) :args _let_661)) _let_846 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_820)) :args ((or _let_49 _let_47 _let_326 _let_845))) _let_846 _let_689 _let_688 :args ((or _let_686 _let_845 _let_844) false _let_292 true _let_47 true _let_49)) _let_689 _let_688 _let_687 _let_685 _let_843 _let_723 _let_842 _let_839 _let_550 _let_838 _let_434 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_458 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_457)) :args _let_456)) _let_837 _let_554 _let_836 _let_442 (REORDERING (CNF_OR_POS :args (_let_819)) :args ((or _let_31 _let_143 _let_141 (not _let_819)))) _let_835 _let_830 _let_834 _let_828 _let_827 _let_438 _let_439 _let_440 _let_443 _let_444 :args ((or tptp.hskp15 tptp.hskp18 _let_255 _let_823 _let_822) false _let_175 true _let_178 false _let_328 false tptp.ndr1_0 false _let_176 true _let_174 true _let_132 true _let_134 true _let_136 true _let_565 false _let_138 false _let_198 false tptp.hskp0 false tptp.ndr1_0 true _let_60 false _let_62 true _let_222 false _let_63 true _let_821 false tptp.hskp14 false _let_811 true _let_166 false _let_808 true _let_810 true _let_814 true _let_163 true _let_815 true _let_327 true _let_655 false _let_292 true _let_820 true _let_47 true _let_49 false _let_51 false _let_52 false tptp.hskp16 true tptp.hskp5 true _let_109 false _let_216 false _let_213 true _let_214 true _let_211 true _let_329 false _let_807 false _let_210 false _let_806 true _let_204 true _let_819 false _let_203 false _let_140 false _let_201 false _let_202 false _let_805 false _let_34 false _let_33 true _let_31 false _let_35 false tptp.hskp20)) _let_776 _let_779 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_782 :args (tptp.a1330 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_781)) :args _let_780)) _let_783 _let_818 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_782 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_781)) :args _let_780)) :args ((or tptp.hskp15 tptp.hskp18 _let_784) true _let_811 false _let_808 true _let_810 false _let_817 true _let_815 false _let_163 true _let_655 false _let_165 false tptp.ndr1_0 true _let_657 true _let_215 false _let_16 true _let_212 false tptp.hskp26 true _let_206 true tptp.hskp12 true _let_217 false _let_198 true _let_76 true _let_251 true _let_58 true _let_60 false _let_62 false _let_332 false _let_249 false _let_63 false _let_329 false _let_234 true _let_236 true _let_237 false tptp.hskp14 false tptp.ndr1_0 false _let_792 false tptp.ndr1_0 true _let_238 true _let_233 true _let_261 true _let_200 true tptp.hskp4 true _let_115 false _let_813 false _let_768 false _let_248 false _let_812)) _let_439 _let_440 _let_443 _let_444 :args ((or tptp.hskp15 tptp.hskp18) false _let_292 true _let_47 true _let_49 false _let_51 false _let_52 false tptp.hskp16 true tptp.hskp5 true _let_109 false _let_807 false _let_806 false _let_203 false _let_327 false _let_201 false _let_805 false _let_163 false _let_200 false _let_166 false _let_233 false tptp.ndr1_0 true tptp.hskp14 true _let_63 false _let_240 false _let_241 false tptp.ndr1_0 true _let_242 true _let_243 false _let_33 true _let_31 false _let_35 false tptp.hskp20)))) (let ((_let_874 (MACRO_RESOLUTION_TRUST _let_497 _let_502 _let_490 _let_630 _let_485 _let_391 _let_870 _let_392 _let_869 _let_421 _let_818 _let_871 _let_872 _let_158 _let_361 _let_357 _let_355 _let_354 _let_353 _let_700 _let_445 _let_853 _let_158 _let_873 _let_802 (MACRO_RESOLUTION_TRUST _let_577 _let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_467)) :args _let_466)) _let_714 (REORDERING (CNF_OR_POS :args (_let_296)) :args ((or _let_289 _let_267 _let_268 (not _let_296)))) _let_713 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_270 _let_267 _let_269 (not _let_271)))) _let_685 _let_679 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_290 2)) (CONG (REFL :args (_let_290)) (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_266))) :args _let_226)) :args ((or _let_266 _let_290))) (CNF_OR_NEG :args (_let_290 1)) (CNF_OR_NEG :args (_let_290 0)) _let_684 _let_158 _let_726 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_801)) :args _let_801)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_800) _let_212))) (REFL :args ((not _let_290))) :args _let_226)) _let_683 _let_772 _let_682 _let_774 _let_678 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_424 (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_247 _let_366 _let_244 (not _let_799)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_404)) :args _let_403)) _let_422 _let_412 _let_411 _let_158 _let_410 _let_407 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (tptp.a1320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_400)) _let_540 (REORDERING (CNF_OR_POS :args (_let_798)) :args ((or _let_83 _let_516 _let_514 (not _let_798)))) _let_537 :args ((or _let_85 _let_83 _let_516 _let_514 _let_423) false _let_244 false _let_799 false _let_365 true _let_247 false _let_395 false tptp.ndr1_0 true _let_367 true _let_396 true _let_364 true _let_213 true _let_798 true _let_518)) _let_629 _let_525 _let_524 _let_523 _let_628 _let_521 _let_623 _let_647 _let_621 _let_158 _let_615 (MACRO_RESOLUTION_TRUST _let_742 _let_797 _let_158 _let_796 _let_783 _let_729 _let_779 _let_472 _let_158 _let_776 _let_470 _let_795 _let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_464 :args (tptp.a1309 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_463)) :args _let_462)) _let_794 _let_793 (REORDERING (CNF_OR_POS :args (_let_790)) :args ((or _let_121 _let_336 _let_337 (not _let_790)))) _let_697 _let_583 _let_611 (MACRO_RESOLUTION_TRUST _let_696 _let_611 :args ((or _let_336 _let_335 _let_695 _let_605) true _let_337)) _let_612 _let_610 _let_609 _let_608 :args ((or tptp.hskp11 _let_261 _let_607 _let_605) false tptp.hskp13 false tptp.ndr1_0 true _let_70 true _let_243 false _let_724 true _let_768 false _let_197 false tptp.ndr1_0 false _let_115 true _let_173 false tptp.hskp4 false tptp.ndr1_0 true _let_294 true _let_792 true _let_791 true _let_790 true _let_329 true _let_175 true _let_337 true _let_694 true _let_507 true _let_121 false _let_123 false _let_124)) _let_646 _let_645 _let_642 _let_600 _let_428 _let_594 _let_158 _let_429 _let_158 _let_593 _let_430 :args ((or tptp.hskp11 tptp.hskp22 _let_211 _let_261 _let_232 _let_262) true _let_514 true _let_83 true _let_85 false _let_87 false _let_517 false _let_88 false _let_345 false tptp.hskp9 false _let_344 false tptp.ndr1_0 true tptp.hskp2 true _let_125 true tptp.hskp30 true _let_4 false _let_343 false _let_339 false _let_368 false _let_334 false tptp.ndr1_0 false _let_319 false tptp.ndr1_0 true _let_333 true _let_320)) _let_505 _let_503 _let_502 _let_501 _let_500 _let_497 _let_494 _let_495 _let_490 _let_489 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_759)) :args ((or _let_758 _let_757 _let_756 (not _let_759)))) (REORDERING (CNF_OR_POS :args (_let_760)) :args ((or _let_758 _let_757 _let_755 (not _let_760)))) (CNF_OR_NEG :args (_let_771 1)) (CNF_OR_NEG :args (_let_771 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_789)) :args _let_789)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_788) _let_241))) (REFL :args ((not _let_771))) :args _let_226)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_360 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_359)) :args _let_358)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_770)) :args ((or _let_765 _let_764 _let_761 _let_787))) (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_765 _let_764 _let_762 _let_786))) :args ((or _let_765 _let_764 _let_787 _let_786) true _let_761)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_769 2)) (CONG (REFL :args (_let_769)) (MACRO_SR_PRED_INTRO :args ((= (not _let_764) _let_763))) :args _let_226)) :args ((or _let_763 _let_769))) (CNF_OR_NEG :args (_let_769 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_785)) :args _let_785)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_784) _let_243))) (REFL :args ((not _let_769))) :args _let_226)) _let_783 _let_779 _let_776 (REORDERING (AND_ELIM _let_156 :args (100)) :args ((or tptp.hskp1 tptp.hskp4 tptp.hskp14))) _let_157 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_754)) :args ((or _let_128 _let_126 _let_753 _let_775))) (REORDERING (CNF_AND_POS :args (_let_131 3)) :args ((or _let_127 _let_155))) (REORDERING (CNF_AND_POS :args (_let_131 2)) :args ((or _let_129 _let_155))) (REORDERING (CNF_AND_POS :args (_let_131 1)) :args ((or _let_130 _let_155))) :args ((or _let_155 _let_775) true _let_126 true _let_128 false _let_130)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_427 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_426)) :args _let_425)) _let_429 _let_158 _let_430 _let_774 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_381 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_383 _let_384 _let_158 _let_385 _let_752 _let_751 _let_750 _let_740 _let_736 _let_735 _let_772 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (tptp.a1308 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_728 _let_372 _let_727 _let_158 _let_371 _let_158 _let_225 _let_224 _let_223 _let_352 _let_348 _let_347 _let_300 _let_301 _let_253 _let_700 _let_699 :args ((or _let_163 _let_200 _let_297) false _let_755 true _let_757 true _let_758 true _let_771 true _let_241 true _let_770 false _let_763 true _let_765 true _let_769 true _let_243 true _let_768 false _let_115 false tptp.hskp4 true tptp.hskp1 true _let_131 false _let_766 false _let_319 false tptp.ndr1_0 true _let_320 true _let_211 false _let_760 false _let_197 false _let_196 false tptp.ndr1_0 true _let_195 true _let_194 true _let_318 false _let_313 true _let_315 true _let_90 true _let_92 false _let_288 false _let_759 false _let_754 false _let_95 false _let_212 false tptp.hskp8 false tptp.ndr1_0 false _let_215 false tptp.ndr1_0 true _let_166 true _let_165 true _let_164 true _let_217 true _let_302 false _let_55 false _let_56 true _let_53 true _let_232 true tptp.hskp14 true _let_63)) _let_474 _let_484 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_477 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_476)) :args _let_475)) _let_478 (MACRO_RESOLUTION_TRUST _let_521 _let_562 _let_749 _let_564 _let_683 _let_591 _let_682 _let_592 _let_678 _let_430 _let_429 _let_158 _let_752 _let_596 _let_751 _let_604 _let_750 (REORDERING (CNF_OR_POS :args (_let_312)) :args ((or _let_307 _let_304 _let_311 (not _let_312)))) _let_740 _let_736 _let_735 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_728 _let_372 _let_727 _let_158 _let_371 _let_158 _let_225 _let_224 _let_490 _let_497 _let_502 (MACRO_RESOLUTION_TRUST _let_521 _let_562 _let_749 _let_564 _let_683 _let_591 _let_682 _let_592 _let_678 (MACRO_RESOLUTION_TRUST _let_622 _let_158 _let_619 _let_624 _let_614 _let_613 _let_540 _let_604 _let_603 _let_711 _let_596 _let_595 _let_594 _let_158 _let_429 _let_158 _let_593 _let_430 _let_572 _let_575 _let_574 _let_571 :args ((or tptp.hskp22 _let_211 _let_174 _let_232 _let_262) false tptp.ndr1_0 true _let_512 true _let_513 true _let_511 true tptp.hskp3 true _let_213 true _let_311 true _let_120 true _let_518 false _let_317 false _let_510 false _let_334 false tptp.ndr1_0 false _let_319 false tptp.ndr1_0 true _let_333 true _let_320 true _let_307 false _let_303 false _let_305 true _let_308)) (MACRO_RESOLUTION_TRUST _let_540 _let_411 _let_158 _let_711 _let_407 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_334 (= X47 X91)))) _let_406 _let_402 (AND_ELIM _let_156 :args (87)) _let_158 _let_399 _let_393 _let_723 _let_392 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_718)) :args ((or _let_106 _let_104 _let_717 _let_719))) _let_722 _let_721 (REORDERING (CNF_AND_POS :args (_let_109 1)) :args ((or _let_108 _let_720))) :args ((or _let_720 _let_719) true _let_104 true _let_106 false _let_108)) _let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (tptp.a1314 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_387)) :args _let_386)) :args ((or tptp.hskp22 _let_174 _let_716 (not _let_194) _let_237 _let_236 _let_235) false _let_213 false tptp.ndr1_0 true _let_518 true _let_396 false _let_334 true _let_395 true _let_364 false (forall ((X91 $$unsorted)) (or (not (tptp.c0_1 X91)) (not (tptp.c1_1 X91)) (not (tptp.c3_1 X91)))) false tptp.ndr1_0 true _let_394 true _let_363 true tptp.hskp5 true _let_249 true _let_109 false _let_252 false _let_718)) _let_259 _let_258 _let_260 _let_257 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_217 (= X65 X90)))) _let_352 _let_348 _let_347 _let_300 _let_301 _let_253 _let_584 _let_715 _let_299 _let_700 _let_699 :args ((or tptp.hskp22 _let_200 _let_174 _let_297) true _let_88 false tptp.hskp9 false _let_324 true tptp.hskp17 false _let_323 true _let_46 false _let_322 false _let_283 false _let_211 true _let_194 true _let_236 true _let_237 false _let_234 true _let_238 true _let_716 true _let_217 true _let_302 false _let_55 false _let_56 true _let_53 true _let_232 false _let_310 false _let_175 true _let_262 true tptp.hskp14 true _let_63)) _let_584 _let_715 _let_575 _let_574 _let_572 _let_571 _let_299 _let_352 _let_348 _let_347 _let_300 _let_301 _let_253 _let_700 _let_699 :args ((or _let_200 _let_174 _let_297) true _let_88 false tptp.hskp9 false _let_324 true tptp.hskp17 false _let_323 true _let_46 false _let_322 false _let_283 false _let_211 false _let_320 false tptp.ndr1_0 true _let_194 true _let_319 true _let_318 true _let_317 false _let_313 false _let_311 true _let_315 true _let_90 true _let_92 false _let_312 false _let_95 false _let_212 false tptp.hskp8 false tptp.ndr1_0 false _let_215 false tptp.ndr1_0 true _let_166 true _let_165 true _let_163 true _let_161 false _let_29 false tptp.hskp22 false _let_310 false _let_175 false _let_303 false _let_305 true _let_307 true _let_308 true _let_262 true _let_217 true _let_302 false _let_55 false _let_56 true _let_53 true _let_232 true tptp.hskp14 true _let_63)) _let_301 _let_300 _let_253 _let_299 _let_298 :args ((or _let_200 _let_297) false tptp.ndr1_0 true _let_175 true _let_193 true _let_296 true _let_295 true _let_268 false _let_52 true _let_294 false _let_266 true _let_289 true _let_270 false tptp.hskp16 false tptp.ndr1_0 true _let_293 true _let_290 true tptp.hskp17 true _let_212 true _let_46 true _let_288 false _let_283 false _let_211 true _let_194 true _let_280 true tptp.hskp22 true _let_279 true _let_278 true _let_29 true _let_273 true _let_277 false _let_161 false _let_275 false _let_163 true tptp.hskp11 true _let_81 false _let_271 false _let_265 false _let_174 true _let_53 false _let_56 true _let_232 true _let_262 true _let_261)) _let_260 _let_259 _let_258 _let_257 _let_254 _let_253 :args (_let_200 false _let_29 false _let_161 false tptp.hskp22 false _let_163 true _let_194 true _let_217 true _let_252 true _let_251 false _let_249 false _let_248 false _let_243 false _let_242 false tptp.ndr1_0 true _let_241 true _let_240 true _let_58 true _let_60 false _let_62 false _let_63 false _let_41 false tptp.hskp14 false tptp.ndr1_0 false tptp.hskp18 true tptp.hskp15 true _let_57 false _let_234 true _let_236 true _let_237 true _let_238 true _let_233 true _let_232)))) (let ((_let_875 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_833 _let_736 _let_734 :args ((or _let_92 _let_231 _let_832) true _let_90 false _let_94)) _let_735 :args ((or _let_231 _let_832) true _let_92)))) (let ((_let_876 (MACRO_RESOLUTION_TRUST _let_728 (MACRO_RESOLUTION_TRUST _let_875 (MACRO_RESOLUTION_TRUST _let_829 _let_874 :args (_let_230 false _let_200)) :args (_let_231 false _let_230)) :args (_let_96 true _let_95)))) (let ((_let_877 (REFL :args (_let_172)))) (let ((_let_878 (not _let_294))) (let ((_let_879 (or _let_273 _let_53 _let_276))) (let ((_let_880 (or _let_134 _let_132 _let_177))) (let ((_let_881 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_882 (not _let_881))) (let ((_let_883 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_884 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_885 (or _let_884 _let_883 _let_882))) (let ((_let_886 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_887 (or _let_886 _let_883 _let_882))) (let ((_let_888 (not _let_886))) (let ((_let_889 (or _let_884 _let_888 _let_882))) (let ((_let_890 (not _let_193))) (let ((_let_891 (_let_890))) (let ((_let_892 (MACRO_RESOLUTION_TRUST _let_445 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_880)) :args ((or _let_134 _let_132 _let_177 (not _let_880)))) _let_866 _let_864 _let_863 _let_862 _let_860 _let_858 _let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_857 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_856)) :args _let_855)) (REORDERING (CNF_OR_POS :args (_let_889)) :args ((or _let_884 _let_882 _let_888 (not _let_889)))) (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_883 _let_882 _let_886 (not _let_887)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_388 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_504)) :args _let_386)) _let_385 _let_384 _let_158 _let_383 _let_382 _let_378 _let_377 _let_355 _let_354 _let_700 _let_727 _let_158 _let_728 _let_875 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_885 2)) (CONG (REFL :args (_let_885)) (MACRO_SR_PRED_INTRO :args ((= (not _let_882) _let_881))) :args _let_226)) :args ((or _let_881 _let_885))) (CNF_OR_NEG :args (_let_885 1)) (CNF_OR_NEG :args (_let_885 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_891)) :args _let_891)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_890) _let_193))) (REFL :args ((not _let_885))) :args _let_226)) _let_714 _let_713 _let_376 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (tptp.a1306 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_685 _let_372 _let_843 _let_371 _let_158 _let_839 _let_723 _let_225 _let_224 _let_223 _let_838 _let_550 _let_842 _let_489 _let_434 _let_554 _let_836 _let_494 _let_442 _let_835 (REORDERING (CNF_OR_POS :args (_let_879)) :args ((or _let_53 _let_276 _let_273 (not _let_879)))) _let_830 _let_834 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1331 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X12) true))))) :args _let_824)) _let_828 _let_829 _let_827 _let_439 _let_440 _let_443 _let_444 _let_352 _let_348 _let_347 _let_300 _let_301 _let_802 _let_873 :args ((or tptp.hskp18 _let_255) false _let_176 true _let_132 true _let_134 true _let_136 false _let_138 false tptp.hskp0 false tptp.ndr1_0 true _let_222 true _let_889 false _let_886 false _let_887 false _let_194 false _let_195 false tptp.ndr1_0 true _let_196 true _let_197 true _let_199 true _let_198 true _let_58 true _let_60 false _let_63 false tptp.hskp14 false tptp.ndr1_0 true tptp.hskp8 true _let_95 false _let_881 true _let_883 true _let_884 true _let_885 true _let_193 true _let_295 false _let_206 false _let_880 false _let_52 false _let_212 false tptp.hskp16 false _let_215 false tptp.ndr1_0 false _let_216 true tptp.hskp5 true _let_166 true _let_165 true _let_164 true _let_214 false _let_213 true _let_109 true _let_163 true _let_211 false _let_210 false _let_806 true _let_275 true _let_204 false _let_203 false _let_273 false _let_140 false _let_201 false _let_879 false _let_202 false _let_230 false _let_805 false _let_33 true _let_31 false _let_35 false tptp.hskp20 true _let_217 true _let_302 false _let_55 false _let_56 true _let_53 false _let_57 false tptp.hskp15)) _let_874 :args (tptp.hskp18 false _let_200)) :args (_let_41 false tptp.hskp18)))) (let ((_let_893 (MACRO_RESOLUTION_TRUST _let_447 _let_892 :args (_let_40 false _let_41)))) (let ((_let_894 (MACRO_RESOLUTION_TRUST _let_449 _let_892 :args (_let_37 false _let_41)))) (let ((_let_895 (MACRO_RESOLUTION_TRUST _let_448 _let_892 :args (_let_39 false _let_41)))) (let ((_let_896 (MACRO_RESOLUTION_TRUST _let_465 (MACRO_RESOLUTION_TRUST _let_455 _let_895 _let_894 _let_893 :args (_let_454 true _let_38 true _let_36 false _let_40)) :args (_let_878 true _let_370)))) (let ((_let_897 (MACRO_RESOLUTION_TRUST _let_470 _let_896 :args ((not _let_173) true _let_294)))) (let ((_let_898 (not _let_189))) (let ((_let_899 (_let_878))) (let ((_let_900 (not _let_190))) (let ((_let_901 (not _let_186))) (let ((_let_902 (MACRO_RESOLUTION_TRUST _let_867 _let_866 _let_864 _let_863 _let_862 _let_860 _let_858 _let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_857 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_856)) :args _let_855)) (REORDERING (CNF_OR_POS :args (_let_221)) :args ((or _let_170 _let_168 _let_218 (not _let_221)))) (REORDERING (CNF_OR_POS :args (_let_220)) :args ((or _let_171 _let_168 _let_219 (not _let_220)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)) _let_371 _let_158 _let_839 _let_372 _let_838 _let_550 _let_376 _let_434 _let_554 _let_377 _let_442 _let_835 _let_378 _let_830 (MACRO_RESOLUTION_TRUST _let_828 _let_874 :args (_let_202 false _let_200)) _let_834 _let_874 _let_382 _let_440 _let_439 _let_383 _let_443 _let_384 _let_158 (AND_ELIM _let_156 :args (73)) _let_158 _let_385 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_193 (= X22 X73)))) _let_389 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) _let_452 _let_893 _let_895 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_190)) :args ((or _let_184 _let_188 _let_182 _let_900))) (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_185 _let_184 _let_183 _let_901))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_189 2)) (CONG (REFL :args (_let_189)) (MACRO_SR_PRED_INTRO :args ((= (not _let_188) _let_187))) :args _let_226)) :args ((or _let_187 _let_189))) (CNF_OR_NEG :args (_let_189 1)) (CNF_OR_NEG :args (_let_189 0)) :args ((or _let_189 _let_901 _let_900) true _let_182 false _let_187 true _let_184 true _let_185)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_899)) :args _let_899)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_878) _let_294))) (REFL :args (_let_898)) :args _let_226)) _let_896 :args (_let_898 true _let_294)) _let_461 _let_894 _let_895 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_467)) :args _let_466)) _let_469 _let_868 _let_581 _let_893 _let_894 _let_895 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X31 X72)))) _let_569 _let_897 _let_355 _let_354 _let_353 _let_700 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_172 2)) (CONG _let_877 (MACRO_SR_PRED_INTRO :args ((= (not _let_168) _let_167))) :args _let_226)) :args ((or _let_167 _let_172))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_172 1)) (CONG _let_877 (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_169))) :args _let_226)) :args ((or _let_169 _let_172))) (CNF_OR_NEG :args (_let_172 0)) _let_727 _let_158 _let_876 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_228)) :args _let_228)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_227) _let_163))) (REFL :args ((not _let_172))) :args _let_226)) _let_225 _let_224 _let_223 :args (_let_163 false _let_176 true _let_132 true _let_134 true _let_136 false _let_138 false tptp.hskp0 false tptp.ndr1_0 true _let_222 true _let_221 true _let_218 false _let_220 false _let_217 false tptp.ndr1_0 false _let_216 true _let_215 true _let_214 false _let_213 true _let_212 true _let_211 false _let_210 true _let_206 true _let_204 false _let_203 false _let_198 false _let_140 false _let_202 false _let_201 false _let_200 false _let_199 true _let_31 false _let_33 false _let_197 false _let_35 false _let_196 false tptp.ndr1_0 false tptp.hskp20 false tptp.ndr1_0 true _let_195 true (forall ((X73 $$unsorted)) (or (tptp.c2_1 X73) (tptp.c3_1 X73) (not (tptp.c1_1 X73)))) true _let_194 true _let_193 true _let_192 false _let_40 true _let_38 true _let_190 true _let_189 true _let_179 true _let_36 true _let_38 false _let_186 false _let_181 false _let_178 false _let_175 false _let_40 true _let_36 true _let_38 true (forall ((X72 $$unsorted)) (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (not (tptp.c3_1 X72)))) true _let_174 true _let_173 true _let_58 true _let_60 false _let_62 false _let_63 false _let_167 false _let_169 true _let_171 false tptp.hskp14 false tptp.ndr1_0 true tptp.hskp8 true _let_172 true _let_166 true _let_165 true _let_164)))) (let ((_let_903 (MACRO_RESOLUTION_TRUST _let_502 (MACRO_RESOLUTION_TRUST _let_497 (MACRO_RESOLUTION_TRUST _let_490 _let_902 :args (_let_161 false _let_163)) :args (_let_162 false _let_161)) :args (_let_30 true _let_29)))) (let ((_let_904 (or _let_85 _let_514 _let_516))) (let ((_let_905 (or _let_121 _let_336 _let_335))) (let ((_let_906 (forall ((X $$unsorted)) (or (tptp.c2_1 X) (not (tptp.c1_1 X)) (not (tptp.c3_1 X)))))) (let ((_let_907 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_908 (not _let_907))) (let ((_let_909 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_910 (not _let_909))) (let ((_let_911 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_912 (or _let_911 _let_910 _let_908))) (let ((_let_913 (or _let_31 _let_143 _let_142))) (let ((_let_914 (not _let_905))) (let ((_let_915 (not _let_24))) (let ((_let_916 (_let_906))) (let ((_let_917 (not _let_906))) (let ((_let_918 (_let_917))) (let ((_let_919 (REFL :args (_let_912)))) (let ((_let_920 (tptp.c2_1 tptp.a1359))) (let ((_let_921 (or _let_22 _let_920 _let_18))) (let ((_let_922 (not _let_920))) (let ((_let_923 (or _let_20 _let_18 _let_922))) (let ((_let_924 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_925 (or _let_924 _let_911 _let_908))) (let ((_let_926 (not _let_924))) (let ((_let_927 (or _let_911 _let_926 _let_910))) (let ((_let_928 (not _let_913))) (let ((_let_929 (REORDERING (AND_ELIM _let_156 :args (101)) :args ((or tptp.hskp20 tptp.hskp26 tptp.hskp29))))) (let ((_let_930 (MACRO_RESOLUTION_TRUST _let_520 (MACRO_RESOLUTION_TRUST _let_521 (MACRO_RESOLUTION_TRUST _let_632 _let_152 _let_151 _let_150 _let_631 _let_929 _let_670 _let_669 _let_664 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_655 (= X18 X80)))) (AND_ELIM _let_156 :args (78)) _let_158 _let_776 _let_779 _let_783 _let_797 _let_158 _let_443 _let_742 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_913)) :args ((or _let_31 _let_143 _let_142 _let_928))) _let_440 _let_439 _let_438 :args ((or _let_437 _let_928) true _let_31 false _let_33 false _let_34)) _let_636 _let_796 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_499 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_741)) :args _let_498)) _let_637 _let_729 _let_503 _let_638 _let_158 _let_903 _let_472 _let_158 _let_897 _let_684 _let_158 _let_474 _let_685 _let_484 _let_713 _let_478 _let_714 _let_581 _let_893 _let_894 _let_895 _let_577 _let_158 _let_896 _let_793 _let_584 _let_683 _let_591 _let_682 _let_592 _let_678 (MACRO_RESOLUTION_TRUST _let_472 _let_158 _let_897 _let_729 _let_474 _let_796 _let_484 _let_742 _let_478 _let_797 _let_158 _let_581 _let_893 _let_894 _let_895 _let_793 (MACRO_RESOLUTION_TRUST _let_867 _let_866 _let_864 _let_863 _let_862 _let_860 _let_858 _let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_857 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_856)) :args _let_855)) (REORDERING (CNF_OR_POS :args (_let_927)) :args ((or _let_911 _let_910 _let_926 (not _let_927)))) (REORDERING (CNF_OR_POS :args (_let_925)) :args ((or _let_911 _let_908 _let_924 (not _let_925)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_582)) :args _let_466)) _let_868 :args ((or _let_214 _let_640 _let_911 _let_910 _let_908 _let_865) false _let_176 true _let_132 true _let_134 true _let_136 false _let_138 false tptp.hskp0 false tptp.ndr1_0 true _let_222 true _let_927 false _let_924 false _let_925 false _let_178)) _let_818 (MACRO_RESOLUTION_TRUST _let_420 _let_418 _let_413 _let_412 :args ((or _let_367 _let_419 _let_398) true _let_244 true _let_246 true _let_247)) _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (tptp.a1359 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_400)) _let_416 _let_839 (REORDERING (CNF_OR_POS :args (_let_923)) :args ((or _let_20 _let_18 _let_922 (not _let_923)))) _let_550 (REORDERING (CNF_OR_POS :args (_let_921)) :args ((or _let_22 _let_18 _let_920 (not _let_921)))) _let_554 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a1359 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)) _let_835 _let_831 _let_158 _let_876 _let_838 :args ((or _let_22 _let_20 _let_18 _let_211 _let_911 _let_910 _let_908) false tptp.ndr1_0 true _let_173 true _let_197 true tptp.hskp11 true _let_724 true _let_81 false _let_70 false _let_265 false tptp.hskp13 false tptp.ndr1_0 false _let_174 false _let_40 true _let_36 true _let_38 true _let_791 true _let_175 true _let_243 true _let_248 true _let_367 true _let_364 false _let_397 false _let_216 true _let_923 false _let_213 false _let_920 false _let_210 false _let_921 false _let_203 false _let_201 false tptp.ndr1_0 true tptp.hskp8 true _let_214)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_912 2)) (CONG _let_919 (MACRO_SR_PRED_INTRO :args ((= (not _let_908) _let_907))) :args _let_226)) :args ((or _let_907 _let_912))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_912 1)) (CONG _let_919 (MACRO_SR_PRED_INTRO :args ((= (not _let_910) _let_909))) :args _let_226)) :args ((or _let_909 _let_912))) (CNF_OR_NEG :args (_let_912 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_918)) :args _let_918)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_917) _let_906))) (REFL :args ((not _let_912))) :args _let_226)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_916) :args (tptp.a1309 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X) true))))) :args _let_916)) (REORDERING (CNF_AND_POS :args (_let_24 3)) :args ((or _let_19 _let_915))) (REORDERING (CNF_AND_POS :args (_let_24 2)) :args ((or _let_21 _let_915))) (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_23 _let_915))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_905)) :args ((or _let_121 _let_336 _let_335 _let_914))) _let_610 _let_609 _let_608 :args ((or _let_607 _let_914) true _let_121 false _let_123 false _let_124)) (AND_ELIM _let_156 :args (23)) _let_615 (AND_ELIM _let_156 :args (76)) _let_158 _let_903 _let_621 _let_158 _let_903 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_345 (= X74 X77)))) _let_623 _let_564 _let_628 _let_533 _let_629 _let_538 (REORDERING (CNF_OR_POS :args (_let_904)) :args ((or _let_85 _let_516 _let_514 (not _let_904)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_826 :args (tptp.a1320 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_824)) _let_874 :args (_let_904 false _let_200)) _let_525 _let_524 _let_523 :args (_let_522 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp29 true tptp.hskp26 true _let_16 false _let_657 false _let_655 false (forall ((X80 $$unsorted)) (or (tptp.c2_1 X80) (tptp.c3_1 X80) (not (tptp.c0_1 X80)))) false tptp.ndr1_0 true tptp.hskp4 true _let_115 false _let_768 false _let_243 false tptp.ndr1_0 true tptp.hskp20 true tptp.hskp13 true _let_35 false _let_148 true _let_70 false _let_913 false _let_153 false _let_724 false _let_278 false _let_154 false tptp.ndr1_0 true tptp.hskp22 false _let_197 false tptp.ndr1_0 true _let_173 false _let_280 false tptp.ndr1_0 true tptp.hskp11 true tptp.hskp16 true _let_81 true _let_52 false _let_265 false _let_295 false _let_174 false _let_40 true _let_36 true _let_38 false _let_193 false tptp.ndr1_0 true _let_294 true _let_791 true _let_175 true tptp.hskp17 true _let_310 true _let_46 false _let_322 false _let_283 false _let_211 false _let_907 false _let_909 true _let_911 true _let_912 true _let_906 true _let_18 true _let_20 true _let_22 true _let_905 false _let_24 false _let_125 false tptp.hskp23 false tptp.ndr1_0 true tptp.hskp22 false tptp.hskp2 false tptp.ndr1_0 true tptp.hskp22 true (forall ((X77 $$unsorted)) (or (tptp.c1_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77)))) true _let_344 true _let_323 true _let_345 true _let_324 true _let_517 true _let_526 false _let_514 false _let_904 true _let_83 true _let_85 false _let_87)) :args (_let_89 true _let_88)) _let_158 (MACRO_RESOLUTION_TRUST _let_519 _let_896 :args ((not _let_506) true _let_294)) :args (_let_194 true tptp.hskp9 false tptp.ndr1_0 true _let_506)))) (let ((_let_931 (MACRO_RESOLUTION_TRUST _let_469 (MACRO_RESOLUTION_TRUST _let_461 _let_895 _let_894 (MACRO_RESOLUTION_TRUST _let_452 _let_895 _let_893 (MACRO_RESOLUTION_TRUST _let_389 _let_930 :args (_let_192 false _let_194)) :args (_let_179 true _let_38 false _let_40 false _let_192)) :args (_let_460 true _let_38 true _let_36 false _let_179)) :args (_let_640 true _let_181)))) (let ((_let_932 (MACRO_RESOLUTION_TRUST _let_474 (MACRO_RESOLUTION_TRUST _let_484 (MACRO_RESOLUTION_TRUST _let_478 (MACRO_RESOLUTION_TRUST _let_581 _let_895 _let_894 _let_931 _let_893 :args (_let_174 true _let_38 true _let_36 true _let_175 false _let_40)) :args (_let_265 false _let_174)) :args (_let_480 false _let_265)) :args (_let_82 true _let_81)))) (let ((_let_933 (MACRO_RESOLUTION_TRUST _let_637 (MACRO_RESOLUTION_TRUST _let_638 _let_932 _let_903 _let_158 :args (_let_154 true tptp.hskp11 true tptp.hskp22 false tptp.ndr1_0)) :args (_let_153 false _let_154)))) (let ((_let_934 (tptp.c1_1 tptp.a1411))) (let ((_let_935 (not _let_934))) (let ((_let_936 (or _let_11 _let_656 _let_935))) (let ((_let_937 (or _let_934 _let_11 _let_656))) (let ((_let_938 (MACRO_RESOLUTION_TRUST _let_443 (MACRO_RESOLUTION_TRUST _let_929 (MACRO_RESOLUTION_TRUST _let_670 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_937)) :args ((or _let_11 _let_656 _let_934 (not _let_937)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_782 :args (tptp.a1411 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_781)) :args _let_780)) (MACRO_RESOLUTION_TRUST _let_797 (MACRO_RESOLUTION_TRUST _let_742 (MACRO_RESOLUTION_TRUST _let_796 (MACRO_RESOLUTION_TRUST _let_729 (MACRO_RESOLUTION_TRUST _let_472 _let_932 _let_158 _let_897 :args (_let_197 true tptp.hskp11 false tptp.ndr1_0 true _let_173)) :args (_let_724 false _let_197)) :args (_let_743 false _let_724)) :args (_let_71 true _let_70)) _let_158 (MACRO_RESOLUTION_TRUST _let_793 _let_931 :args ((not _let_791) true _let_175)) :args (_let_243 true tptp.hskp13 false tptp.ndr1_0 true _let_791)) :args (_let_937 false _let_243)) (REORDERING (CNF_OR_POS :args (_let_936)) :args ((or _let_11 _let_656 _let_935 (not _let_936)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (tptp.a1411 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)) _let_902 :args (_let_936 false _let_163)) _let_668 _let_667 :args (_let_666 false _let_937 true _let_934 false _let_936 true _let_11 false _let_15)) :args (_let_17 true _let_16)) (MACRO_RESOLUTION_TRUST _let_631 (MACRO_RESOLUTION_TRUST _let_632 (MACRO_RESOLUTION_TRUST _let_636 _let_933 :args (_let_148 false _let_153)) _let_152 _let_151 _let_150 :args (_let_149 false _let_148 false _let_5 false _let_6 false _let_7)) :args (_let_9 true _let_8)) :args (tptp.hskp20 true tptp.hskp26 true tptp.hskp29)) :args (_let_35 false tptp.hskp20)))) (let ((_let_939 (MACRO_RESOLUTION_TRUST _let_438 _let_938 :args (_let_34 false _let_35)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_143 _let_142 _let_141 (not _let_144)))) (MACRO_RESOLUTION_TRUST _let_441 (MACRO_RESOLUTION_TRUST _let_440 _let_938 :args (_let_32 false _let_35)) _let_939 (MACRO_RESOLUTION_TRUST _let_390 _let_930 :args (_let_362 false _let_194)) :args (_let_140 true _let_31 false _let_34 false _let_362)) (MACRO_RESOLUTION_TRUST _let_439 _let_938 :args (_let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_635 :args (tptp.a1348 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_634)) :args _let_633)) _let_933 :args (_let_144 false _let_153)) _let_939 :args (false false _let_140 false _let_33 false _let_144 false _let_34)) :args (_let_139 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.74 )
% 0.22/0.74 % SZS output end Proof for SYN478+1
% 0.22/0.74 % cvc5---1.0.5 exiting
% 0.22/0.74 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------