TSTP Solution File: SYN436+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 02:03:12 EDT 2023

% Result   : Theorem 0.57s 0.79s
% Output   : Proof 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 21:20:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.57/0.79  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Una19XSoFr/cvc5---1.0.5_20718.p...
% 0.57/0.79  ------- get file name : TPTP file name is SYN436+1
% 0.57/0.79  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20718.smt2...
% 0.57/0.79  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.57/0.79  % SZS status Theorem for SYN436+1
% 0.57/0.79  % SZS output start Proof for SYN436+1
% 0.57/0.79  (
% 0.57/0.79  (let ((_let_1 (tptp.c3_1 tptp.a10))) (let ((_let_2 (tptp.c2_1 tptp.a10))) (let ((_let_3 (tptp.c0_1 tptp.a10))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (not tptp.hskp26))) (let ((_let_6 (tptp.c2_1 tptp.a9))) (let ((_let_7 (tptp.c1_1 tptp.a9))) (let ((_let_8 (tptp.c0_1 tptp.a9))) (let ((_let_9 (and tptp.ndr1_0 _let_8 _let_7 _let_6))) (let ((_let_10 (tptp.c3_1 tptp.a3))) (let ((_let_11 (tptp.c2_1 tptp.a3))) (let ((_let_12 (tptp.c1_1 tptp.a3))) (let ((_let_13 (and tptp.ndr1_0 _let_12 _let_11 _let_10))) (let ((_let_14 (tptp.c0_1 tptp.a53))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c3_1 tptp.a53))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_15 (not (tptp.c1_1 tptp.a53))))) (let ((_let_18 (tptp.c3_1 tptp.a45))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a45))) (let ((_let_21 (not _let_20))) (let ((_let_22 (and tptp.ndr1_0 (tptp.c0_1 tptp.a45) _let_21 _let_19))) (let ((_let_23 (tptp.c1_1 tptp.a42))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c3_1 tptp.a42))) (let ((_let_26 (tptp.c2_1 tptp.a42))) (let ((_let_27 (and tptp.ndr1_0 _let_26 _let_25 _let_24))) (let ((_let_28 (tptp.c3_1 tptp.a37))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.c0_1 tptp.a37))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c1_1 tptp.a37))) (let ((_let_33 (and tptp.ndr1_0 _let_32 _let_31 _let_29))) (let ((_let_34 (tptp.c0_1 tptp.a33))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c3_1 tptp.a33))) (let ((_let_37 (tptp.c2_1 tptp.a33))) (let ((_let_38 (and tptp.ndr1_0 _let_37 _let_36 _let_35))) (let ((_let_39 (tptp.c3_1 tptp.a32))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c1_1 tptp.a32))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.c0_1 tptp.a32))) (let ((_let_44 (not _let_43))) (let ((_let_45 (and tptp.ndr1_0 _let_44 _let_42 _let_40))) (let ((_let_46 (tptp.c1_1 tptp.a31))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.c2_1 tptp.a31))) (let ((_let_49 (tptp.c0_1 tptp.a31))) (let ((_let_50 (and tptp.ndr1_0 _let_49 _let_48 _let_47))) (let ((_let_51 (tptp.c2_1 tptp.a30))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.c0_1 tptp.a30))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c1_1 tptp.a30))) (let ((_let_56 (and tptp.ndr1_0 _let_55 _let_54 _let_52))) (let ((_let_57 (tptp.c3_1 tptp.a25))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.c1_1 tptp.a25))) (let ((_let_60 (tptp.c0_1 tptp.a25))) (let ((_let_61 (and tptp.ndr1_0 _let_60 _let_59 _let_58))) (let ((_let_62 (tptp.c1_1 tptp.a24))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c0_1 tptp.a24))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.c2_1 tptp.a24))) (let ((_let_67 (and tptp.ndr1_0 _let_66 _let_65 _let_63))) (let ((_let_68 (tptp.c3_1 tptp.a22))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c2_1 tptp.a22))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.c0_1 tptp.a22))) (let ((_let_73 (not _let_72))) (let ((_let_74 (and tptp.ndr1_0 _let_73 _let_71 _let_69))) (let ((_let_75 (tptp.c3_1 tptp.a19))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c1_1 tptp.a19))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c2_1 tptp.a19))) (let ((_let_80 (and tptp.ndr1_0 _let_79 _let_78 _let_76))) (let ((_let_81 (tptp.c3_1 tptp.a18))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c2_1 tptp.a18))) (let ((_let_84 (tptp.c0_1 tptp.a18))) (let ((_let_85 (and tptp.ndr1_0 _let_84 _let_83 _let_82))) (let ((_let_86 (tptp.c3_1 tptp.a16))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c2_1 tptp.a16))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c0_1 tptp.a16))) (let ((_let_91 (and tptp.ndr1_0 _let_90 _let_89 _let_87))) (let ((_let_92 (tptp.c2_1 tptp.a15))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c1_1 tptp.a15))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.c0_1 tptp.a15))) (let ((_let_97 (and tptp.ndr1_0 _let_96 _let_95 _let_93))) (let ((_let_98 (tptp.c2_1 tptp.a14))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.c3_1 tptp.a14))) (let ((_let_101 (tptp.c0_1 tptp.a14))) (let ((_let_102 (and tptp.ndr1_0 _let_101 _let_100 _let_99))) (let ((_let_103 (tptp.c2_1 tptp.a8))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c1_1 tptp.a8))) (let ((_let_106 (tptp.c0_1 tptp.a8))) (let ((_let_107 (and tptp.ndr1_0 _let_106 _let_105 _let_104))) (let ((_let_108 (tptp.c0_1 tptp.a7))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.c3_1 tptp.a7))) (let ((_let_111 (tptp.c1_1 tptp.a7))) (let ((_let_112 (and tptp.ndr1_0 _let_111 _let_110 _let_109))) (let ((_let_113 (tptp.c2_1 tptp.a6))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.c3_1 tptp.a6))) (let ((_let_116 (tptp.c1_1 tptp.a6))) (let ((_let_117 (and tptp.ndr1_0 _let_116 _let_115 _let_114))) (let ((_let_118 (tptp.c3_1 tptp.a5))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.c2_1 tptp.a5))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c1_1 tptp.a5))) (let ((_let_123 (not _let_122))) (let ((_let_124 (and tptp.ndr1_0 _let_123 _let_121 _let_119))) (let ((_let_125 (tptp.c3_1 tptp.a4))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c2_1 tptp.a4))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.c1_1 tptp.a4))) (let ((_let_130 (and tptp.ndr1_0 _let_129 _let_128 _let_126))) (let ((_let_131 (tptp.c3_1 tptp.a2))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.c0_1 tptp.a2))) (let ((_let_134 (not _let_133))) (let ((_let_135 (tptp.c2_1 tptp.a2))) (let ((_let_136 (and tptp.ndr1_0 _let_135 _let_134 _let_132))) (let ((_let_137 (tptp.c0_1 tptp.a1))) (let ((_let_138 (not _let_137))) (let ((_let_139 (tptp.c3_1 tptp.a1))) (let ((_let_140 (and tptp.ndr1_0 _let_139 _let_138 (not (tptp.c2_1 tptp.a1))))) (let ((_let_141 (not (not (and (or (not tptp.hskp0) _let_140) (or (not tptp.hskp1) _let_136) (or (not tptp.hskp2) _let_130) (or (not tptp.hskp3) _let_124) (or (not tptp.hskp4) _let_117) (or (not tptp.hskp5) _let_112) (or (not tptp.hskp6) _let_107) (or (not tptp.hskp7) _let_102) (or (not tptp.hskp8) _let_97) (or (not tptp.hskp9) _let_91) (or (not tptp.hskp10) _let_85) (or (not tptp.hskp11) _let_80) (or (not tptp.hskp12) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a21)) (not (tptp.c1_1 tptp.a21)) (not (tptp.c2_1 tptp.a21)))) (or (not tptp.hskp13) _let_74) (or (not tptp.hskp14) _let_67) (or (not tptp.hskp15) _let_61) (or (not tptp.hskp16) _let_56) (or (not tptp.hskp17) _let_50) (or (not tptp.hskp18) _let_45) (or (not tptp.hskp19) _let_38) (or (not tptp.hskp20) _let_33) (or (not tptp.hskp21) _let_27) (or (not tptp.hskp22) _let_22) (or (not tptp.hskp23) _let_17) (or (not tptp.hskp24) _let_13) (or (not tptp.hskp25) _let_9) (or _let_5 _let_4) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c0_1 tptp.a11) (tptp.c1_1 tptp.a11) (tptp.c3_1 tptp.a11))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V)))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c2_1 W) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c2_1 Y))))) tptp.hskp0) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c3_1 Z)))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (not (tptp.c1_1 X1)) (not (tptp.c2_1 X1)))))) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2)))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X3) (not (tptp.c2_1 X3)) (not (tptp.c3_1 X3))))) tptp.hskp1) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c3_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c1_1 X5))))) tptp.hskp24) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c2_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c3_1 X7) (not (tptp.c1_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X8) (not (tptp.c2_1 X8)) (not (tptp.c3_1 X8)))))) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X10) (tptp.c3_1 X10) (not (tptp.c0_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X11) (tptp.c3_1 X11) (not (tptp.c1_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) tptp.hskp2 tptp.hskp3) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c3_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X14) (tptp.c2_1 X14) (not (tptp.c0_1 X14))))) tptp.hskp4) (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) (tptp.c3_1 X16) (not (tptp.c2_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17))))) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c2_1 X18) (tptp.c3_1 X18)))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X19) (tptp.c3_1 X19) (not (tptp.c0_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X20) (not (tptp.c1_1 X20)) (not (tptp.c3_1 X20)))))) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22))))) tptp.hskp5) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c3_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24)) (not (tptp.c3_1 X24))))) tptp.hskp6) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c3_1 X25) (not (tptp.c2_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X26) (tptp.c3_1 X26) (not (tptp.c1_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X27)) (not (tptp.c1_1 X27)) (not (tptp.c2_1 X27)))))) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c3_1 X28) (not (tptp.c2_1 X28))))) tptp.hskp25 tptp.hskp26) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (not (tptp.c1_1 X29)) (not (tptp.c2_1 X29))))) tptp.hskp27 tptp.hskp26) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (not (tptp.c1_1 X30)) (not (tptp.c2_1 X30))))) tptp.hskp27 tptp.hskp7) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c2_1 X31))))) tptp.hskp8 tptp.hskp9) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c3_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X33) (tptp.c3_1 X33) (not (tptp.c0_1 X33))))) tptp.hskp4) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c3_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X35) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35))))) tptp.hskp10) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36))))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c2_1 X37))))) tptp.hskp11) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (not (tptp.c2_1 X38)) (not (tptp.c3_1 X38))))) tptp.hskp27 tptp.hskp12) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c2_1 X39) (not (tptp.c0_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (not (tptp.c0_1 X40)) (not (tptp.c3_1 X40))))) tptp.hskp13) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c0_1 X41))))) tptp.hskp2 tptp.hskp14) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X43) (not (tptp.c0_1 X43)) (not (tptp.c3_1 X43))))) tptp.hskp15) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (tptp.c3_1 X44) (not (tptp.c2_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X45)) (not (tptp.c2_1 X45)) (not (tptp.c3_1 X45)))))) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X46) (tptp.c3_1 X46) (not (tptp.c2_1 X46))))) tptp.hskp6 tptp.hskp26) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X47) (tptp.c3_1 X47) (not (tptp.c2_1 X47))))) tptp.hskp7) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X48) (tptp.c3_1 X48) (not (tptp.c0_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (tptp.c3_1 X49) (not (tptp.c1_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X50)) (not (tptp.c2_1 X50)) (not (tptp.c3_1 X50)))))) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (tptp.c3_1 X51) (not (tptp.c0_1 X51))))) tptp.hskp26 tptp.hskp16) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c3_1 X52))))) tptp.hskp17 tptp.hskp18) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)) (not (tptp.c2_1 X54))))) tptp.hskp19) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (not (tptp.c1_1 X55)) (not (tptp.c3_1 X55))))) tptp.hskp9 tptp.hskp24) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c2_1 X56))))) tptp.hskp26 tptp.hskp20) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X57)) (not (tptp.c1_1 X57)) (not (tptp.c2_1 X57))))) tptp.hskp6 tptp.hskp10) (or tptp.hskp25 tptp.hskp17 tptp.hskp21) (or tptp.hskp6 tptp.hskp26 tptp.hskp22) (or tptp.hskp17 tptp.hskp8 tptp.hskp4) (or tptp.hskp7 tptp.hskp9 tptp.hskp13) (or tptp.hskp24 tptp.hskp23 tptp.hskp0)))))) (let ((_let_142 (forall ((X26 $$unsorted)) (or (tptp.c2_1 X26) (tptp.c3_1 X26) (not (tptp.c1_1 X26)))))) (let ((_let_143 (forall ((X11 $$unsorted)) (or (tptp.c2_1 X11) (tptp.c3_1 X11) (not (tptp.c1_1 X11)))))) (let ((_let_144 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c3_1 X16) (not (tptp.c2_1 X16)))))) (let ((_let_145 (tptp.c2_1 tptp.a37))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_30 _let_28 _let_146))) (let ((_let_148 (not _let_144))) (let ((_let_149 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_150 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_151 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_152 (or _let_151 _let_150 _let_149))) (let ((_let_153 (forall ((X44 $$unsorted)) (or (tptp.c1_1 X44) (tptp.c3_1 X44) (not (tptp.c2_1 X44)))))) (let ((_let_154 (forall ((X32 $$unsorted)) (or (tptp.c0_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c3_1 X32)))))) (let ((_let_155 (not _let_147))) (let ((_let_156 (forall ((Z $$unsorted)) (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c3_1 Z))))) (let ((_let_157 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (not (tptp.c1_1 X1)) (not (tptp.c2_1 X1)))))) (let ((_let_158 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_159 (not _let_158))) (let ((_let_160 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_161 (not _let_160))) (let ((_let_162 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_163 (or _let_162 _let_161 _let_159))) (let ((_let_164 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_160 _let_159 _let_165))) (let ((_let_167 (or _let_162 _let_159 _let_165))) (let ((_let_168 (not _let_163))) (let ((_let_169 (forall ((X3 $$unsorted)) (or (tptp.c1_1 X3) (not (tptp.c2_1 X3)) (not (tptp.c3_1 X3)))))) (let ((_let_170 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_171 (not _let_170))) (let ((_let_172 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_173 (not _let_172))) (let ((_let_174 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_173 _let_171))) (let ((_let_177 (forall ((X7 $$unsorted)) (or (tptp.c0_1 X7) (tptp.c3_1 X7) (not (tptp.c1_1 X7)))))) (let ((_let_178 (forall ((X45 $$unsorted)) (or (not (tptp.c0_1 X45)) (not (tptp.c2_1 X45)) (not (tptp.c3_1 X45)))))) (let ((_let_179 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_180 (not _let_179))) (let ((_let_181 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_182 (not _let_181))) (let ((_let_183 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_184 (not _let_183))) (let ((_let_185 (or _let_184 _let_182 _let_180))) (let ((_let_186 (not _let_83))) (let ((_let_187 (tptp.c1_1 tptp.a18))) (let ((_let_188 (or _let_187 _let_81 _let_186))) (let ((_let_189 (not _let_135))) (let ((_let_190 (tptp.c1_1 tptp.a2))) (let ((_let_191 (or _let_190 _let_131 _let_189))) (let ((_let_192 (forall ((X27 $$unsorted)) (or (not (tptp.c0_1 X27)) (not (tptp.c1_1 X27)) (not (tptp.c2_1 X27)))))) (let ((_let_193 (not _let_187))) (let ((_let_194 (not _let_84))) (let ((_let_195 (or _let_194 _let_193 _let_186))) (let ((_let_196 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_197 (not _let_196))) (let ((_let_198 (or _let_184 _let_197 _let_182))) (let ((_let_199 (or _let_196 _let_182 _let_180))) (let ((_let_200 (forall ((X35 $$unsorted)) (or (tptp.c1_1 X35) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35)))))) (let ((_let_201 (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c3_1 X34)))))) (let ((_let_202 (or _let_162 _let_160 _let_165))) (let ((_let_203 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c3_1 X13)))))) (let ((_let_204 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_205 (not _let_204))) (let ((_let_206 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_207 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_208 (or _let_207 _let_206 _let_205))) (let ((_let_209 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_210 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_211 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_212 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_213 (or _let_212 _let_211 _let_210))) (let ((_let_214 (not _let_190))) (let ((_let_215 (or _let_133 _let_214 _let_189))) (let ((_let_216 (or))) (let ((_let_217 (not _let_178))) (let ((_let_218 (_let_217))) (let ((_let_219 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_218)) :args _let_218)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_217) _let_178))) (REFL :args ((not _let_185))) :args _let_216)))) (let ((_let_220 (not _let_117))) (let ((_let_221 (not _let_97))) (let ((_let_222 (not _let_50))) (let ((_let_223 (EQ_RESOLVE (ASSUME :args (_let_141)) (MACRO_SR_EQ_INTRO :args (_let_141 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_224 (AND_ELIM _let_223 :args (4)))) (let ((_let_225 (AND_ELIM _let_223 :args (8)))) (let ((_let_226 (AND_ELIM _let_223 :args (17)))) (let ((_let_227 (REORDERING (AND_ELIM _let_223 :args (65)) :args ((or tptp.hskp4 tptp.hskp8 tptp.hskp17))))) (let ((_let_228 (MACRO_RESOLUTION_TRUST _let_227 _let_226 _let_225 _let_224 (REORDERING (CNF_AND_POS :args (_let_50 0)) :args ((or tptp.ndr1_0 _let_222))) (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or tptp.ndr1_0 _let_221))) (REORDERING (CNF_AND_POS :args (_let_117 0)) :args ((or tptp.ndr1_0 _let_220))) :args (tptp.ndr1_0 true tptp.hskp17 true tptp.hskp8 true tptp.hskp4 true _let_50 true _let_97 true _let_117)))) (let ((_let_229 (AND_ELIM _let_223 :args (53)))) (let ((_let_230 (_let_153))) (let ((_let_231 ((not (= (tptp.c3_1 X44) true))))) (let ((_let_232 (ASSUME :args _let_230))) (let ((_let_233 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230)))) (let ((_let_234 ((not (= (tptp.c1_1 X44) true))))) (let ((_let_235 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)))) (let ((_let_236 (not _let_79))) (let ((_let_237 (or _let_77 _let_75 _let_236))) (let ((_let_238 (forall ((X54 $$unsorted)) (or (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)) (not (tptp.c2_1 X54)))))) (let ((_let_239 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_240 (not _let_239))) (let ((_let_241 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_242 (not _let_241))) (let ((_let_243 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_244 (or _let_243 _let_242 _let_240))) (let ((_let_245 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.a19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)))) (let ((_let_246 (not _let_237))) (let ((_let_247 (not _let_80))) (let ((_let_248 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_77 _let_75 _let_236 _let_246))) (REORDERING (CNF_AND_POS :args (_let_80 3)) :args ((or _let_76 _let_247))) (REORDERING (CNF_AND_POS :args (_let_80 2)) :args ((or _let_78 _let_247))) (REORDERING (CNF_AND_POS :args (_let_80 1)) :args ((or _let_79 _let_247))) :args ((or _let_247 _let_246) true _let_75 true _let_77 false _let_79)))) (let ((_let_249 (AND_ELIM _let_223 :args (11)))) (let ((_let_250 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_192 (= X27 X54)))))) (let ((_let_251 (forall ((X50 $$unsorted)) (or (not (tptp.c0_1 X50)) (not (tptp.c2_1 X50)) (not (tptp.c3_1 X50)))))) (let ((_let_252 (or _let_43 _let_41 _let_39))) (let ((_let_253 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_254 (or _let_212 _let_253 _let_210))) (let ((_let_255 (not _let_211))) (let ((_let_256 (or _let_212 _let_253 _let_255))) (let ((_let_257 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c1_1 X21)))))) (let ((_let_258 (or _let_253 _let_210 _let_255))) (let ((_let_259 (forall ((X49 $$unsorted)) (or (tptp.c2_1 X49) (tptp.c3_1 X49) (not (tptp.c1_1 X49)))))) (let ((_let_260 (forall ((X48 $$unsorted)) (or (tptp.c2_1 X48) (tptp.c3_1 X48) (not (tptp.c0_1 X48)))))) (let ((_let_261 (not _let_106))) (let ((_let_262 (tptp.c3_1 tptp.a8))) (let ((_let_263 (or _let_103 _let_262 _let_261))) (let ((_let_264 (not _let_36))) (let ((_let_265 (not _let_37))) (let ((_let_266 (or _let_34 _let_265 _let_264))) (let ((_let_267 (forall ((X18 $$unsorted)) (or (tptp.c0_1 X18) (tptp.c2_1 X18) (tptp.c3_1 X18))))) (let ((_let_268 (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36)))))) (let ((_let_269 (not _let_156))) (let ((_let_270 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_178 (= X45 X50)))))) (let 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(tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_287 (or _let_286 _let_285 _let_284))) (let ((_let_288 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_289 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_290 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_291 (or _let_290 _let_289 _let_288))) (let ((_let_292 (not _let_129))) (let ((_let_293 (or _let_127 _let_125 _let_292))) (let ((_let_294 (tptp.c1_1 tptp.a16))) (let ((_let_295 (not _let_294))) (let ((_let_296 (or _let_88 _let_86 _let_295))) (let ((_let_297 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_298 (not _let_297))) (let ((_let_299 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_300 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_301 (or _let_300 _let_299 _let_298))) (let ((_let_302 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_303 (not _let_302))) (let ((_let_304 (or _let_243 _let_242 _let_303))) (let ((_let_305 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(let ((_let_673 (AND_ELIM _let_223 :args (66)))) (let ((_let_674 (MACRO_RESOLUTION_TRUST _let_673 _let_672 _let_671 _let_670 _let_665 _let_659 _let_657 :args ((or tptp.hskp13 (not _let_322) _let_623 _let_653) true tptp.hskp7 true tptp.hskp9 true _let_102 true _let_91 false _let_652 false _let_324)))) (let ((_let_675 (MACRO_RESOLUTION_TRUST _let_539 _let_536 _let_535 _let_534 :args ((or _let_220 _let_538) true _let_113 false _let_115 false _let_116)))) (let ((_let_676 (AND_ELIM _let_223 :args (36)))) (let ((_let_677 (MACRO_RESOLUTION_TRUST _let_224 _let_676 _let_228 _let_675 _let_674 _let_544 _let_651 :args ((or tptp.hskp13 _let_203 _let_650 _let_623) false tptp.hskp4 false tptp.ndr1_0 true _let_117 true _let_322 false _let_514 false _let_331)))) (let ((_let_678 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_333 (= X20 X53)))))) (let ((_let_679 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_322 (= X14 X39)))))) (let ((_let_680 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_322 (= X14 X41)))))) (let ((_let_681 (AND_ELIM _let_223 :args (50)))) (let ((_let_682 (_let_627))) (let ((_let_683 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_682) :args (tptp.a31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X40) true))))) :args _let_682)))) (let ((_let_684 (or _let_616 _let_618 _let_614))) (let ((_let_685 (not _let_628))) (let ((_let_686 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)))) (let ((_let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)))) (let ((_let_688 (or _let_316 _let_280 _let_315))) (let ((_let_689 (CNF_OR_NEG :args (_let_320 1)))) (let ((_let_690 (REORDERING (CNF_OR_POS :args (_let_688)) :args ((or _let_316 _let_280 _let_315 (not _let_688)))))) (let ((_let_691 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)))) (let ((_let_692 (MACRO_RESOLUTION_TRUST _let_436 _let_433 _let_438 _let_229 _let_228 _let_454 _let_228 _let_691 _let_452 _let_690 _let_469 _let_477 _let_478 _let_476 _let_689 _let_475 :args ((or tptp.hskp25 _let_320 _let_412) false _let_384 false _let_4 false _let_178 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_153 true _let_450 true _let_688 true _let_144 false _let_281 true _let_391 true _let_280 true _let_316 true _let_282)))) (let ((_let_693 (not _let_684))) (let ((_let_694 (not _let_252))) (let ((_let_695 (not _let_45))) (let ((_let_696 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_43 _let_41 _let_39 _let_694))) (REORDERING (CNF_AND_POS :args (_let_45 3)) :args ((or _let_40 _let_695))) (REORDERING (CNF_AND_POS :args (_let_45 2)) :args ((or _let_42 _let_695))) (REORDERING (CNF_AND_POS :args (_let_45 1)) :args ((or _let_44 _let_695))) :args ((or _let_695 _let_694) true _let_39 true _let_41 true _let_43)))) (let ((_let_697 (AND_ELIM _let_223 :args (18)))) (let ((_let_698 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_699 (or _let_698 _let_646 _let_644))) (let ((_let_700 (not _let_609))) (let ((_let_701 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_702 (not _let_701))) (let ((_let_703 (or _let_611 _let_702 _let_700))) (let ((_let_704 (or _let_611 _let_610 _let_702))) (let ((_let_705 (not _let_647))) (let ((_let_706 (or _let_698 _let_705 _let_644))) (let ((_let_707 (or _let_53 _let_51 _let_387))) (let ((_let_708 (or _let_88 _let_86 _let_323))) (let ((_let_709 (not _let_154))) (let ((_let_710 (_let_650))) (let ((_let_711 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_710)) :args _let_710)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_650) _let_333))) (REFL :args ((not _let_699))) :args _let_216)))) (let ((_let_712 (REFL :args (_let_699)))) (let ((_let_713 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_699 2)) (CONG _let_712 (MACRO_SR_PRED_INTRO :args ((= (not _let_644) _let_643))) :args _let_216)) :args ((or _let_643 _let_699))))) (let ((_let_714 (CNF_OR_NEG :args (_let_699 0)))) (let ((_let_715 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_699 1)) (CONG _let_712 (MACRO_SR_PRED_INTRO :args ((= (not _let_646) _let_645))) :args _let_216)) :args ((or _let_645 _let_699))))) (let ((_let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_718 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X32) false))))) :args _let_446)))) (let ((_let_719 (not _let_642))) (let ((_let_720 (not _let_13))) (let ((_let_721 (REORDERING (CNF_AND_POS :args (_let_13 1)) :args ((or _let_12 _let_720))))) (let ((_let_722 (REORDERING (CNF_AND_POS :args (_let_13 2)) :args ((or _let_11 _let_720))))) (let ((_let_723 (REORDERING (CNF_AND_POS :args (_let_13 3)) :args ((or _let_10 _let_720))))) (let ((_let_724 (REORDERING (CNF_OR_POS :args (_let_684)) :args ((or _let_618 _let_614 _let_616 _let_693))))) (let ((_let_725 (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_618 _let_613 _let_615 _let_719))))) (let ((_let_726 (MACRO_RESOLUTION_TRUST _let_725 _let_724 _let_723 _let_722 _let_721 :args ((or _let_720 _let_719 _let_693) true _let_615 false _let_10 false _let_11 false _let_12)))) (let ((_let_727 (not _let_703))) (let ((_let_728 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_703)) :args ((or _let_611 _let_702 _let_700 _let_727))) (REORDERING (CNF_OR_POS :args (_let_612)) :args ((or _let_611 _let_610 _let_609 _let_649))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_704 2)) (CONG (REFL :args (_let_704)) (MACRO_SR_PRED_INTRO :args ((= (not _let_702) _let_701))) :args _let_216)) :args ((or _let_701 _let_704))) (CNF_OR_NEG :args (_let_704 1)) (CNF_OR_NEG :args (_let_704 0)) :args ((or _let_704 _let_727 _let_649) false _let_609 false _let_701 true _let_610 true _let_611)))) (let ((_let_729 (not _let_648))) (let ((_let_730 (REORDERING (CNF_OR_POS :args (_let_648)) :args ((or _let_646 _let_644 _let_647 _let_729))))) (let ((_let_731 (AND_ELIM _let_223 :args (24)))) (let ((_let_732 (not _let_257))) (let ((_let_733 (_let_732))) (let ((_let_734 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_733)) :args _let_733)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_732) _let_257))) (REFL :args ((not _let_704))) :args _let_216)))) (let ((_let_735 (REORDERING (CNF_OR_POS :args (_let_706)) :args ((or _let_698 _let_644 _let_705 (not _let_706)))))) (let ((_let_736 (AND_ELIM _let_223 :args (60)))) (let ((_let_737 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_333 (= X20 X55)))))) (let ((_let_738 (MACRO_RESOLUTION_TRUST _let_676 _let_228 _let_224 _let_659 _let_675 _let_670 _let_544 _let_651 _let_672 _let_737 _let_673 _let_736 _let_228 :args ((or tptp.hskp9 tptp.hskp13 tptp.hskp24 _let_203) false tptp.ndr1_0 true tptp.hskp4 true _let_322 true _let_117 true _let_652 false _let_514 false _let_331 false _let_102 false _let_333 false tptp.hskp7 false _let_335 false tptp.ndr1_0)))) (let ((_let_739 (_let_257))) (let ((_let_740 ((not (= (tptp.c0_1 X21) true))))) (let ((_let_741 (ASSUME :args _let_739))) (let ((_let_742 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (tptp.a30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)))) (let ((_let_743 (_let_343))) (let ((_let_744 ((not (= (tptp.c2_1 X43) true))))) (let ((_let_745 (ASSUME :args _let_743))) (let ((_let_746 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_745 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_744)) :args _let_743)))) (let ((_let_747 (not _let_707))) (let ((_let_748 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_707)) :args ((or _let_53 _let_51 _let_387 _let_747))) _let_445 _let_444 _let_443 :args ((or _let_442 _let_747) true _let_51 true _let_53 false _let_55)))) (let ((_let_749 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_343 (= X43 X52)))))) (let ((_let_750 (not _let_708))) (let ((_let_751 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_708)) :args ((or _let_88 _let_86 _let_323 _let_750))) _let_664 _let_663 _let_662 :args ((or _let_661 _let_750) true _let_86 true _let_88 false _let_90)))) (let ((_let_752 (AND_ELIM _let_223 :args (58)))) (let ((_let_753 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)))) (let ((_let_754 (REORDERING (CNF_OR_POS :args (_let_628)) :args ((or _let_46 _let_348 _let_379 _let_685))))) (let ((_let_755 (MACRO_RESOLUTION_TRUST _let_552 _let_229 _let_228 _let_592 _let_433 _let_754 _let_436 _let_683 _let_438 _let_681 _let_228 _let_440 _let_228 _let_591 _let_590 _let_589 _let_679 _let_437 _let_226 _let_657 _let_753 _let_752 _let_228 _let_441 _let_665 _let_751 _let_749 _let_748 _let_671 _let_746 _let_742 _let_738 _let_735 _let_734 _let_731 _let_730 _let_728 _let_726 _let_718 _let_717 _let_716 _let_715 _let_714 _let_713 _let_711 _let_677 :args ((or tptp.hskp13 tptp.hskp18 _let_203 _let_709 _let_623 _let_649 _let_693) false _let_153 false tptp.ndr1_0 true _let_397 true _let_178 true _let_378 true _let_384 false _let_628 false _let_4 false _let_627 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_46 false _let_48 false _let_49 true _let_626 true _let_385 false _let_50 true _let_322 true _let_260 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp16 true _let_324 true _let_708 true _let_345 true _let_56 false _let_91 true _let_343 false _let_707 false tptp.hskp9 true _let_706 false _let_257 true tptp.hskp24 false _let_647 false _let_704 true _let_13 false _let_648 false _let_703 false _let_642 false _let_645 true _let_698 false _let_643 true _let_699 true _let_333)))) (let ((_let_756 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)))) (let ((_let_757 (not _let_199))) (let ((_let_758 (not _let_198))) (let ((_let_759 (REFL :args (_let_185)))) (let ((_let_760 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_185 0)) (CONG _let_759 (MACRO_SR_PRED_INTRO :args ((= (not _let_184) _let_183))) :args _let_216)) :args ((or _let_183 _let_185))))) (let ((_let_761 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_185 1)) (CONG _let_759 (MACRO_SR_PRED_INTRO :args ((= (not _let_182) _let_181))) :args _let_216)) :args ((or _let_181 _let_185))))) (let ((_let_762 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_185 2)) (CONG _let_759 (MACRO_SR_PRED_INTRO :args ((= (not _let_180) _let_179))) :args _let_216)) :args ((or _let_179 _let_185))))) (let ((_let_763 (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_184 _let_182 _let_197 _let_758))))) (let ((_let_764 (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_182 _let_180 _let_196 _let_757))))) (let ((_let_765 (MACRO_RESOLUTION_TRUST _let_764 _let_763 _let_762 _let_761 _let_760 :args ((or _let_185 _let_758 _let_757) true _let_196 false _let_179 false _let_181 false _let_183)))) (let ((_let_766 (MACRO_RESOLUTION_TRUST _let_592 _let_754 _let_591 _let_590 _let_589 :args ((or _let_222 _let_588 _let_685) true _let_378 true _let_46 false _let_48 false _let_49)))) (let ((_let_767 (AND_ELIM _let_223 :args (59)))) (let ((_let_768 (AND_ELIM _let_223 :args (19)))) (let ((_let_769 (not _let_266))) (let ((_let_770 (not _let_38))) (let ((_let_771 (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_37 _let_770))))) (let ((_let_772 (REORDERING (CNF_AND_POS :args (_let_38 2)) :args ((or _let_36 _let_770))))) (let ((_let_773 (REORDERING (CNF_AND_POS :args (_let_38 3)) :args ((or _let_35 _let_770))))) (let ((_let_774 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_34 _let_265 _let_264 _let_769))) _let_773 _let_772 _let_771 :args ((or _let_770 _let_769) true _let_34 false _let_36 false _let_37)))) (let ((_let_775 (_let_268))) (let ((_let_776 ((not (= (tptp.c0_1 X36) true))))) (let ((_let_777 (ASSUME :args _let_775))) (let ((_let_778 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (tptp.a33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)))) (let ((_let_779 (or _let_30 _let_395 _let_146))) (let ((_let_780 (or _let_300 _let_299 _let_297))) (let ((_let_781 (forall ((X8 $$unsorted)) (or (tptp.c1_1 X8) (not (tptp.c2_1 X8)) (not (tptp.c3_1 X8)))))) (let ((_let_782 (REORDERING (CNF_OR_POS :args (_let_779)) :args ((or _let_30 _let_395 _let_146 (not _let_779)))))) (let ((_let_783 (_let_157))) (let ((_let_784 ((not (= (tptp.c0_1 X1) true))))) (let ((_let_785 (ASSUME :args _let_783))) (let ((_let_786 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (tptp.a37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)))) (let ((_let_787 (AND_ELIM _let_223 :args (30)))) (let ((_let_788 (AND_ELIM _let_223 :args (2)))) (let ((_let_789 (AND_ELIM _let_223 :args (51)))) (let ((_let_790 (AND_ELIM _let_223 :args (14)))) (let ((_let_791 (not _let_319))) (let ((_let_792 (not _let_67))) (let ((_let_793 (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_66 _let_792))))) (let ((_let_794 (REORDERING (CNF_AND_POS :args (_let_67 2)) :args ((or _let_65 _let_792))))) (let ((_let_795 (REORDERING (CNF_AND_POS :args (_let_67 3)) :args ((or _let_63 _let_792))))) (let ((_let_796 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_64 _let_62 _let_318 _let_791))) _let_795 _let_794 _let_793 :args ((or _let_792 _let_791) true _let_62 true _let_64 false _let_66)))) (let ((_let_797 (_let_314))) (let ((_let_798 ((not (= (tptp.c0_1 X6) true))))) (let ((_let_799 (ASSUME :args _let_797))) (let ((_let_800 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)))) (let ((_let_813 (MACRO_RESOLUTION_TRUST _let_812 _let_811 (MACRO_RESOLUTION_TRUST _let_810 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_300 _let_299 _let_297 _let_806))) _let_809 _let_808 _let_807 :args ((or _let_313 _let_806 _let_805) false _let_297 false _let_305 true _let_299 true _let_300)) _let_804 _let_228 _let_803 _let_800 _let_796 _let_790 _let_789 _let_228 _let_788 _let_608 _let_604 _let_414 _let_453 _let_228 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) _let_451 _let_787 _let_228 _let_468 _let_786 _let_548 _let_782 _let_487 _let_550 _let_494 _let_493 _let_492 _let_491 :args ((or _let_192 _let_321 _let_490 _let_549) false _let_169 true _let_638 false _let_781 false tptp.ndr1_0 true _let_313 true _let_314 true _let_319 false _let_67 false tptp.hskp14 false 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_let_223 :args (62)))) (let ((_let_820 (not _let_346))) (let ((_let_821 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_346)) :args ((or _let_81 _let_194 _let_186 _let_820))) _let_576 _let_575 _let_577 :args ((or _let_574 _let_820) true _let_81 false _let_83 false _let_84)))) (let ((_let_822 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_533 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_532)) :args _let_531)))) (let ((_let_823 (AND_ELIM _let_223 :args (48)))) (let ((_let_824 (AND_ELIM _let_223 :args (6)))) (let ((_let_825 (not _let_107))) (let ((_let_826 (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_106 _let_825))))) (let ((_let_827 (REORDERING (CNF_AND_POS :args (_let_107 2)) :args ((or _let_105 _let_825))))) (let ((_let_828 (REORDERING (CNF_AND_POS :args (_let_107 3)) :args ((or _let_104 _let_825))))) (let ((_let_829 (not _let_635))) (let ((_let_830 (REORDERING (CNF_OR_POS :args (_let_635)) :args ((or _let_103 _let_634 _let_262 _let_829))))) (let ((_let_831 (REORDERING (CNF_OR_POS :args (_let_637)) :args ((or _let_103 _let_261 _let_636 (not _let_637)))))) (let ((_let_832 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_745 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_744)) :args _let_743)))) (let ((_let_833 (not _let_307))) (let ((_let_834 (REORDERING (CNF_OR_POS :args (_let_307)) :args ((or _let_299 _let_306 _let_297 _let_833))))) (let ((_let_835 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)))) (let ((_let_836 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_837 (not _let_59))) (let ((_let_838 (tptp.c2_1 tptp.a25))) (let ((_let_839 (or _let_838 _let_57 _let_837))) (let ((_let_840 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c2_1 X15) (tptp.c3_1 X15))))) (let ((_let_841 (or _let_212 _let_211 _let_253))) (let ((_let_842 (or _let_211 _let_253 _let_210))) (let ((_let_843 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_844 (forall ((X17 $$unsorted)) (or (tptp.c1_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17))))) (let ((_let_845 (forall ((X2 $$unsorted)) (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2))))) (let ((_let_846 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c2_1 W) (not (tptp.c3_1 W)))))) (let ((_let_847 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_848 (or _let_207 _let_847 _let_205))) (let ((_let_849 (or _let_133 _let_131 _let_189))) (let ((_let_850 (not _let_847))) (let ((_let_851 (or _let_206 _let_850 _let_205))) (let ((_let_852 (not _let_641))) (let ((_let_853 (not _let_633))) (let ((_let_854 (not _let_203))) (let ((_let_855 (_let_854))) (let ((_let_856 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_855)) :args _let_855)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_854) _let_203))) (REFL :args ((not _let_208))) :args _let_216)))) (let ((_let_857 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_602)) :args _let_601)))) (let ((_let_858 ((not (= (tptp.c3_1 X11) true))))) (let ((_let_859 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_858)) :args _let_601)))) (let ((_let_860 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_861 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_862 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_863 (or _let_862 _let_861 _let_860))) (let ((_let_864 (or _let_34 _let_639 _let_265))) (let ((_let_865 (not _let_632))) (let ((_let_866 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_867 (or _let_866 _let_631 _let_865))) (let ((_let_868 (or _let_122 _let_120 _let_118))) (let ((_let_869 (or _let_866 _let_631 _let_630))) (let ((_let_870 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_871 (or _let_870 _let_861 _let_860))) (let ((_let_872 (not _let_862))) (let ((_let_873 (or _let_870 _let_861 _let_872))) (let ((_let_874 (not _let_839))) (let ((_let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_363)) :args _let_357)))) (let ((_let_876 (not _let_838))) (let ((_let_877 (not _let_60))) (let ((_let_878 (or _let_877 _let_837 _let_876))) (let ((_let_879 (forall ((X42 $$unsorted)) (or (tptp.c1_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42)))))) (let ((_let_880 (or _let_206 _let_847 _let_205))) (let ((_let_881 (or _let_207 _let_206 _let_850))) (let ((_let_882 (CNF_OR_NEG :args (_let_208 0)))) (let ((_let_883 (CNF_OR_NEG :args (_let_208 1)))) (let ((_let_884 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_208 2)) (CONG (REFL :args (_let_208)) (MACRO_SR_PRED_INTRO :args ((= (not _let_205) _let_204))) :args _let_216)) :args ((or _let_204 _let_208))))) (let ((_let_885 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)))) (let ((_let_886 (not _let_878))) (let ((_let_887 (not _let_61))) (let ((_let_888 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_839)) :args ((or _let_57 _let_837 _let_838 _let_874))) (REORDERING (CNF_OR_POS :args (_let_878)) :args ((or _let_877 _let_837 _let_876 _let_886))) (REORDERING (CNF_AND_POS :args (_let_61 3)) :args ((or _let_58 _let_887))) (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_59 _let_887))) (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_60 _let_887))) :args ((or _let_887 _let_874 _let_886) true _let_838 true _let_57 false _let_59 false _let_60)))) (let ((_let_889 (AND_ELIM _let_223 :args (15)))) (let ((_let_890 (AND_ELIM _let_223 :args (52)))) (let ((_let_891 (_let_879))) (let ((_let_892 ((not (= (tptp.c1_1 X42) true))))) (let ((_let_893 (ASSUME :args _let_891))) (let ((_let_894 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_893 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_892)) :args _let_891)))) (let ((_let_895 (REORDERING (CNF_OR_POS :args (_let_880)) :args ((or _let_206 _let_205 _let_847 (not _let_880)))))) (let ((_let_896 (REORDERING (CNF_OR_POS :args (_let_881)) :args ((or _let_207 _let_206 _let_850 (not _let_881)))))) (let ((_let_897 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)))) (let ((_let_898 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_486 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_485)) :args _let_484)))) (let ((_let_899 (not _let_867))) (let ((_let_900 (CNF_OR_NEG :args (_let_869 0)))) (let ((_let_901 (CNF_OR_NEG :args (_let_869 1)))) (let ((_let_902 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_869 2)) (CONG (REFL :args (_let_869)) (MACRO_SR_PRED_INTRO :args ((= (not _let_630) _let_629))) :args _let_216)) :args ((or _let_629 _let_869))))) (let ((_let_903 (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_631 _let_630 _let_632 _let_853))))) (let ((_let_904 (MACRO_RESOLUTION_TRUST _let_903 (REORDERING (CNF_OR_POS :args (_let_867)) :args ((or _let_866 _let_631 _let_865 _let_899))) _let_902 _let_901 _let_900 :args ((or _let_869 _let_853 _let_899) true _let_632 false _let_629 true _let_631 true _let_866)))) (let ((_let_905 (_let_148))) (let ((_let_906 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_905)) :args _let_905)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_144))) (REFL :args ((not _let_869))) :args _let_216)))) (let ((_let_907 (MACRO_RESOLUTION_TRUST _let_592 _let_754 _let_591 _let_590 _let_589 _let_226 _let_752 _let_228 _let_697 _let_696 _let_275 _let_483 _let_478 _let_469 _let_906 _let_904 _let_683 _let_898 _let_681 _let_228 _let_804 _let_228 _let_679 _let_897 _let_657 _let_896 _let_665 _let_895 _let_811 _let_671 _let_894 _let_756 _let_738 _let_890 _let_228 _let_764 _let_731 _let_889 _let_763 _let_726 _let_888 _let_687 _let_686 _let_885 _let_884 _let_883 _let_882 _let_856 _let_749 :args ((or tptp.hskp13 _let_203 _let_343 _let_565 _let_184 _let_182 _let_180 _let_588 _let_853 _let_623 _let_874 _let_719 _let_412) true _let_378 true _let_46 false _let_48 false _let_49 false _let_50 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp18 true _let_45 false _let_252 false _let_156 false _let_320 false _let_391 false _let_144 false _let_869 false _let_628 false _let_867 false _let_627 false tptp.ndr1_0 false _let_177 false tptp.ndr1_0 true _let_626 true _let_314 true _let_322 true _let_881 true _let_324 false _let_847 true _let_781 false _let_91 false _let_880 true _let_169 false tptp.hskp9 false _let_879 false tptp.ndr1_0 true _let_199 true tptp.hskp24 true tptp.hskp15 true _let_196 true _let_13 true _let_61 false _let_198 false _let_684 false _let_878 false _let_204 true _let_206 true _let_207 true _let_208 true _let_345)))) (let ((_let_908 (not _let_167))) (let ((_let_909 (not _let_268))) (let ((_let_910 (_let_909))) (let ((_let_911 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_910)) :args _let_910)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_909) _let_268))) (REFL :args (_let_908)) :args _let_216)))) (let ((_let_912 (not _let_166))) (let ((_let_913 (CNF_OR_NEG :args (_let_167 0)))) (let ((_let_914 (REFL :args (_let_167)))) (let ((_let_915 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_167 2)) (CONG _let_914 (MACRO_SR_PRED_INTRO :args ((= (not _let_165) _let_164))) :args _let_216)) :args ((or _let_164 _let_167))))) (let ((_let_916 (_let_163))) (let ((_let_917 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_159 _let_165 _let_160 _let_912))) (REORDERING (CNF_OR_POS :args _let_916) :args ((or _let_162 _let_159 _let_161 _let_168))) _let_915 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_167 1)) (CONG _let_914 (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_158))) :args _let_216)) :args ((or _let_158 _let_167))) _let_913 :args ((or _let_167 _let_168 _let_912) true _let_160 false _let_164 false _let_158 true _let_162)))) (let ((_let_918 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)))) (let ((_let_919 (not _let_124))) (let ((_let_920 (_let_844))) (let ((_let_921 ((not (= (tptp.c1_1 X17) true))))) (let ((_let_922 (ASSUME :args _let_920))) (let ((_let_923 (not _let_844))) (let ((_let_924 (_let_923))) (let ((_let_925 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_924)) :args _let_924)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_923) _let_844))) (REFL :args ((not _let_871))) :args _let_216)))) (let ((_let_926 (not _let_873))) (let ((_let_927 (not _let_863))) (let ((_let_928 (CNF_OR_NEG :args (_let_871 1)))) (let ((_let_929 (CNF_OR_NEG :args (_let_871 2)))) (let ((_let_930 (REORDERING (CNF_OR_POS :args (_let_863)) :args ((or _let_861 _let_860 _let_862 _let_927))))) (let ((_let_931 (MACRO_RESOLUTION_TRUST _let_592 _let_754 _let_591 _let_590 _let_589 _let_226 _let_752 _let_228 _let_697 _let_683 _let_696 _let_681 _let_228 _let_275 _let_679 _let_483 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_656 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_655)) :args _let_654)) _let_478 (MACRO_RESOLUTION_TRUST _let_930 (REORDERING (CNF_OR_POS :args (_let_873)) :args ((or _let_870 _let_861 _let_872 _let_926))) _let_929 _let_928 (CNF_OR_NEG :args (_let_871 0)) :args ((or _let_871 _let_927 _let_926) true _let_862 true _let_860 true _let_861 true _let_870)) _let_469 _let_925 _let_906 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_922 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_921)) :args _let_920)) _let_904 (REORDERING (CNF_OR_POS :args (_let_868)) :args ((or _let_122 _let_120 _let_118 (not _let_868)))) _let_898 (REORDERING (CNF_AND_POS :args (_let_124 3)) :args ((or _let_119 _let_919))) (REORDERING (CNF_AND_POS :args (_let_124 2)) :args ((or _let_121 _let_919))) (REORDERING (CNF_AND_POS :args (_let_124 1)) :args ((or _let_123 _let_919))) _let_804 _let_228 (AND_ELIM _let_223 :args (3)) _let_811 (AND_ELIM _let_223 :args (35)) _let_228 _let_918 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_314 (= X6 X12)))) _let_917 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (tptp.a33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) _let_911 (REORDERING (CNF_OR_POS :args (_let_864)) :args ((or _let_34 _let_265 _let_639 (not _let_864)))) _let_778 (REORDERING (CNF_OR_POS :args (_let_641)) :args ((or _let_34 _let_264 _let_640 _let_852))) _let_774 _let_773 _let_772 _let_771 _let_768 _let_767 _let_228 _let_250 _let_907 _let_749 _let_746 _let_735 _let_730 _let_713 _let_715 _let_714 _let_711 _let_678 _let_677 _let_372 _let_371 _let_875 _let_362 _let_360 :args ((or tptp.hskp2 _let_203 _let_356 _let_184 _let_182 _let_180 _let_588 _let_853 _let_623 _let_874 _let_852 _let_719 _let_729 _let_168) true _let_378 true _let_46 false _let_48 false _let_49 false _let_50 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp18 false _let_628 true _let_45 false _let_627 false tptp.ndr1_0 false _let_252 true _let_626 false _let_156 true _let_322 false _let_320 true _let_873 false _let_391 true _let_871 false _let_144 true _let_844 false _let_869 true _let_868 false _let_867 true _let_118 true _let_120 true _let_122 false _let_177 false tptp.ndr1_0 false _let_124 true _let_781 false tptp.hskp3 false tptp.ndr1_0 true _let_169 true (forall ((X12 $$unsorted)) (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12)))) true _let_166 true _let_314 true _let_167 true _let_864 true _let_268 true _let_639 true _let_266 true _let_34 false _let_36 false _let_37 false _let_38 false tptp.hskp19 false tptp.ndr1_0 true _let_238 true _let_192 true _let_345 true _let_343 true _let_706 false _let_647 false _let_643 false _let_645 true _let_698 true _let_699 true _let_625 true _let_333 true tptp.hskp13 true _let_74 false _let_863 false _let_283 false _let_276)))) (let ((_let_932 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= V X15)))))) (let ((_let_933 (not _let_254))) (let ((_let_934 (_let_356))) (let ((_let_935 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_934)) :args _let_934)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_356) _let_209))) (REFL :args (_let_933)) :args _let_216)))) (let ((_let_936 (CNF_OR_NEG :args (_let_254 0)))) (let ((_let_937 (CNF_OR_NEG :args (_let_254 1)))) (let ((_let_938 (CNF_OR_NEG :args (_let_254 2)))) (let ((_let_939 (not _let_258))) (let ((_let_940 (REORDERING (CNF_OR_POS :args (_let_258)) :args ((or _let_253 _let_210 _let_255 _let_939))))) (let ((_let_941 (not _let_213))) (let ((_let_942 (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_212 _let_210 _let_211 _let_941))))) (let ((_let_943 (_let_843))) (let ((_let_944 ((not (= (tptp.c0_1 U) true))))) (let ((_let_945 (ASSUME :args _let_943))) (let ((_let_946 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= Z X2)))))) (let ((_let_947 (AND_ELIM _let_223 :args (28)))) (let ((_let_948 (AND_ELIM _let_223 :args (37)))) (let ((_let_949 (_let_846))) (let ((_let_950 (ASSUME :args _let_949))) (let ((_let_951 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_950 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 W) false))))) :args _let_949)))) (let ((_let_952 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_466 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)))) (let ((_let_953 (not _let_851))) (let ((_let_954 (not _let_848))) (let ((_let_955 (REORDERING (CNF_OR_POS :args (_let_848)) :args ((or _let_207 _let_205 _let_847 _let_954))))) (let ((_let_956 (_let_851))) (let ((_let_957 (REORDERING (CNF_OR_POS :args _let_956) :args ((or _let_206 _let_205 _let_850 _let_953))))) (let ((_let_958 (MACRO_RESOLUTION_TRUST _let_957 _let_955 _let_884 _let_883 _let_882 :args ((or _let_208 _let_954 _let_953) false _let_847 false _let_204 true _let_206 true _let_207)))) (let ((_let_959 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)))) (let ((_let_960 (AND_ELIM _let_223 :args (31)))) (let ((_let_961 (AND_ELIM _let_223 :args (1)))) (let ((_let_962 (not _let_136))) (let ((_let_963 (REORDERING (CNF_AND_POS :args (_let_136 1)) :args ((or _let_135 _let_962))))) (let ((_let_964 (REORDERING (CNF_AND_POS :args (_let_136 2)) :args ((or _let_134 _let_962))))) (let ((_let_965 (REORDERING (CNF_AND_POS :args (_let_136 3)) :args ((or _let_132 _let_962))))) (let ((_let_966 (not _let_849))) (let ((_let_967 (REORDERING (CNF_OR_POS :args (_let_849)) :args ((or _let_133 _let_131 _let_189 _let_966))))) (let ((_let_968 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_967 _let_965 _let_964 _let_963 _let_961 _let_960 _let_228 _let_959 _let_958 _let_952 _let_951 _let_948 _let_228 _let_947 _let_228 _let_946 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_922 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X17) true))))) :args _let_920)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_945 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_944)) :args _let_943)) _let_274 (REORDERING (CNF_OR_POS :args (_let_842)) :args ((or _let_253 _let_210 _let_211 (not _let_842)))) (REORDERING (CNF_OR_POS :args (_let_841)) :args ((or _let_212 _let_253 _let_211 (not _let_841)))) _let_942 _let_940 _let_938 _let_937 _let_936 _let_935 _let_932 _let_931 _let_788 _let_608 _let_859 _let_857 _let_605 _let_604 _let_856 :args ((or _let_203 _let_415 _let_184 _let_182 _let_180 _let_588 _let_853 _let_852 _let_719 _let_729 _let_168) true _let_131 true _let_133 false _let_135 false _let_136 false tptp.hskp1 false tptp.ndr1_0 true _let_169 true _let_851 false _let_849 false _let_848 false _let_144 false tptp.ndr1_0 false _let_846 false tptp.ndr1_0 true _let_845 true _let_844 true _let_843 true _let_156 true _let_842 true _let_841 true _let_213 true _let_211 true _let_210 true _let_253 true _let_212 true _let_254 true _let_840 true _let_209 true tptp.hskp2 true _let_130 false _let_839 false _let_258 false _let_296 false _let_293 true _let_208)) _let_718 _let_716 _let_836 _let_835 _let_570 _let_787 _let_228 _let_571 _let_228 _let_275 _let_582 _let_696 _let_812 _let_697 _let_810 _let_752 _let_228 _let_834 _let_749 _let_809 _let_808 _let_832 _let_803 _let_831 _let_800 _let_572 _let_830 _let_796 _let_821 _let_828 _let_827 _let_826 _let_790 _let_822 _let_824 _let_789 _let_228 _let_823 _let_228 (MACRO_RESOLUTION_TRUST _let_823 _let_228 _let_822 _let_778 _let_821 _let_774 _let_572 _let_768 _let_819 _let_228 _let_767 _let_228 _let_818 _let_250 :args ((or tptp.hskp6 tptp.hskp11 _let_192 _let_625) false tptp.ndr1_0 true _let_344 true _let_268 true _let_346 true _let_266 false _let_85 false _let_38 false tptp.hskp10 false tptp.ndr1_0 false tptp.hskp19 false tptp.ndr1_0 true _let_817 true _let_238)) _let_788 _let_226 _let_249 _let_608 _let_766 _let_248 _let_816 _let_604 _let_815 _let_814 _let_552 _let_245 _let_762 _let_761 _let_760 _let_428 _let_229 _let_228 _let_219 _let_270 _let_563 _let_545 _let_813 _let_778 _let_774 _let_768 _let_767 _let_228 _let_567 _let_250 (MACRO_RESOLUTION_TRUST _let_600 _let_599 _let_598 _let_597 _let_595 _let_594 _let_226 _let_766 _let_552 _let_551 _let_468 _let_452 _let_454 _let_228 _let_438 _let_436 _let_433 _let_219 _let_765 _let_755 _let_586 _let_756 _let_697 _let_582 _let_696 (MACRO_RESOLUTION_TRUST _let_433 _let_436 _let_229 _let_228 _let_438 _let_233 _let_454 _let_228 _let_580 _let_452 _let_572 _let_468 _let_571 _let_228 _let_581 _let_570 _let_755 _let_697 _let_696 _let_275 _let_488 :args ((or tptp.hskp13 tptp.hskp25 _let_203 _let_200 _let_269 _let_623 _let_649 _let_569 _let_693) true _let_384 false _let_178 false tptp.ndr1_0 false _let_4 true _let_153 false tptp.hskp26 false tptp.ndr1_0 true _let_188 true _let_450 false _let_85 true _let_144 false tptp.hskp10 false tptp.ndr1_0 true _let_147 true _let_201 true _let_154 true tptp.hskp18 true _let_45 false _let_252 false _let_152)) _let_275 _let_488 _let_483 _let_692 _let_459 _let_462 _let_458 _let_687 _let_686 _let_568 :args ((or tptp.hskp13 _let_203 _let_565 _let_623 _let_412 _let_649 _let_685) true _let_23 false _let_25 false _let_26 false _let_27 false tptp.hskp21 true tptp.hskp17 true _let_50 false _let_397 false _let_153 false _let_147 false _let_144 false _let_450 false tptp.ndr1_0 true tptp.hskp26 true _let_4 false _let_384 false _let_178 false _let_185 true _let_154 false _let_409 false _let_199 true tptp.hskp18 false _let_169 true _let_45 false _let_200 false _let_252 false _let_152 false _let_156 false _let_320 true tptp.hskp25 true _let_9 false _let_406 false _let_198 false _let_684 false _let_195)) _let_683 _let_681 _let_228 _let_680 _let_679 _let_678 _let_677 :args ((or tptp.hskp13 _let_203 _let_322 _let_623 _let_549 _let_412 _let_649 _let_410) false _let_648 false _let_642 false _let_641 false _let_163 false _let_154 false _let_157 false tptp.ndr1_0 false _let_201 false tptp.ndr1_0 true _let_156 true _let_200 true _let_252 true _let_169 false _let_45 true _let_638 false tptp.hskp18 false tptp.ndr1_0 false _let_297 true _let_345 false _let_305 true _let_299 true _let_343 true _let_313 true _let_637 true _let_314 true tptp.hskp10 false _let_262 true _let_319 true _let_85 true _let_103 false _let_105 false _let_106 false _let_67 false _let_346 false _let_107 false tptp.hskp14 false tptp.ndr1_0 false _let_344 false tptp.ndr1_0 false tptp.hskp6 true tptp.hskp2 true tptp.hskp17 true tptp.hskp11 true _let_130 true _let_50 true _let_80 false _let_635 false _let_293 false _let_633 false _let_307 false _let_397 false _let_237 false _let_179 false _let_181 false _let_183 false _let_143 false _let_153 false tptp.ndr1_0 true _let_185 true _let_251 true _let_178 true tptp.hskp20 true _let_33 true _let_268 true _let_266 false _let_38 false tptp.hskp19 false tptp.ndr1_0 true _let_402 true _let_238 true _let_192 false _let_628 false _let_627 false tptp.ndr1_0 true _let_321 true _let_626 true _let_625 true _let_333)))) (let ((_let_969 (or _let_339 _let_338 _let_352))) (let ((_let_970 (or _let_615 _let_614 _let_613))) (let ((_let_971 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_331 2)) (CONG (REFL :args _let_669) (MACRO_SR_PRED_INTRO :args ((= (not _let_328) _let_100))) :args _let_216)) :args ((or _let_100 _let_331))))) (let ((_let_972 (REORDERING (CNF_OR_NEG :args (_let_331 0)) :args ((or _let_99 _let_331))))) (let ((_let_973 (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_98 _let_341 _let_328 (not _let_342)))))) (let ((_let_974 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_745 :args (tptp.a14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_744)) :args _let_743)))) (let ((_let_975 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)))) (let ((_let_976 (REORDERING (CNF_OR_POS :args (_let_619)) :args ((or _let_618 _let_614 _let_615 (not _let_619)))))) (let ((_let_977 (REORDERING (CNF_OR_POS :args (_let_617)) :args ((or _let_614 _let_613 _let_616 (not _let_617)))))) (let ((_let_978 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_431 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_430)) :args _let_429)))) (let ((_let_979 (not _let_349))) (let ((_let_980 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_349)) :args ((or _let_46 _let_348 _let_347 _let_979))) _let_591 _let_590 _let_589 :args ((or _let_222 _let_979) true _let_46 false _let_48 false _let_49)))) (let ((_let_981 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_520 :args (tptp.a31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_519)) :args _let_518)))) (let ((_let_982 (CNF_OR_NEG :args (_let_353 0)))) (let ((_let_983 (not _let_969))) (let ((_let_984 (not _let_355))) (let ((_let_985 (REORDERING (CNF_OR_POS :args (_let_355)) :args ((or _let_339 _let_352 _let_354 _let_984))))) (let ((_let_986 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_584)) :args _let_583)))) (let ((_let_987 (or _let_162 _let_161 _let_165))) (let ((_let_988 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_989 (not _let_987))) (let ((_let_990 (REORDERING (CNF_OR_POS :args (_let_987)) :args ((or _let_162 _let_165 _let_161 _let_989))))) (let ((_let_991 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)))) (let ((_let_992 (REORDERING (CNF_OR_POS :args (_let_970)) :args ((or _let_614 _let_613 _let_615 (not _let_970)))))) (let ((_let_993 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_157 (= X1 X31)))))) (let ((_let_994 (AND_ELIM _let_223 :args (45)))) (let ((_let_995 (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_96 _let_221))))) (let ((_let_996 (REORDERING (CNF_AND_POS :args (_let_97 2)) :args ((or _let_95 _let_221))))) (let ((_let_997 (REORDERING (CNF_AND_POS :args (_let_97 3)) :args ((or _let_93 _let_221))))) (let ((_let_998 (REORDERING (CNF_OR_POS :args (_let_622)) :args ((or _let_94 _let_92 _let_621 (not _let_622)))))) (let ((_let_999 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_656 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_655)) :args _let_654)))) (let ((_let_1000 (_let_203))) (let ((_let_1001 ((not (= (tptp.c0_1 X13) true))))) (let ((_let_1002 (ASSUME :args _let_1000))) (let ((_let_1003 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1002 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1001)) :args _let_1000)))) (let ((_let_1004 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1002 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1001)) :args _let_1000)))) (let ((_let_1005 (tptp.c3_1 tptp.a24))) (let ((_let_1006 (not _let_1005))) (let ((_let_1007 (or _let_64 _let_318 _let_1006))) (let ((_let_1008 (or _let_103 _let_634 _let_636))) (let ((_let_1009 (not _let_866))) (let ((_let_1010 (or _let_1009 _let_865 _let_630))) (let ((_let_1011 (or _let_866 _let_865 _let_630))) (let ((_let_1012 (or _let_64 _let_62 _let_1005))) (let ((_let_1013 (not _let_202))) (let ((_let_1014 (MACRO_RESOLUTION_TRUST _let_990 (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_162 _let_165 _let_160 _let_1013))) _let_915 _let_913 :args ((or _let_167 _let_1013 _let_989) false _let_160 false _let_164 true _let_162)))) (let ((_let_1015 (or _let_207 _let_850 _let_205))) (let ((_let_1016 (not _let_16))) (let ((_let_1017 (tptp.c2_1 tptp.a53))) (let ((_let_1018 (not _let_1017))) (let ((_let_1019 (or _let_14 _let_1018 _let_1016))) (let ((_let_1020 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_1021 (not _let_1020))) (let ((_let_1022 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_1023 (not _let_1022))) (let ((_let_1024 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_1025 (or _let_1024 _let_1023 _let_1021))) (let ((_let_1026 (not _let_139))) (let ((_let_1027 (tptp.c1_1 tptp.a1))) (let ((_let_1028 (not _let_1027))) (let ((_let_1029 (or _let_137 _let_1028 _let_1026))) (let ((_let_1030 (or _let_207 _let_204 _let_850))) (let ((_let_1031 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)))) (let ((_let_1032 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (tptp.a53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)))) (let ((_let_1033 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_1034 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)))) (let ((_let_1035 (or _let_137 _let_1027 _let_1026))) (let ((_let_1036 (or _let_1024 _let_1022 _let_1021))) (let ((_let_1037 (or _let_14 _let_1017 _let_1016))) (let ((_let_1038 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_1039 (or _let_1024 _let_1038 _let_1021))) (let ((_let_1040 (not _let_1019))) (let ((_let_1041 (not _let_1025))) (let ((_let_1042 (not _let_1029))) (let ((_let_1043 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1002 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1001)) :args _let_1000)))) (let ((_let_1044 (not _let_1035))) (let ((_let_1045 (not _let_140))) (let ((_let_1046 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1029)) :args ((or _let_137 _let_1026 _let_1028 _let_1042))) (REORDERING (CNF_OR_POS :args (_let_1035)) :args ((or _let_137 _let_1026 _let_1027 _let_1044))) (REORDERING (CNF_AND_POS :args (_let_140 2)) :args ((or _let_138 _let_1045))) (REORDERING (CNF_AND_POS :args (_let_140 1)) :args ((or _let_139 _let_1045))) :args ((or _let_1045 _let_1044 _let_1042) false _let_1027 true _let_137 false _let_139)))) (let ((_let_1047 (AND_ELIM _let_223 :args (0)))) (let ((_let_1048 (REORDERING (AND_ELIM _let_223 :args (67)) :args ((or tptp.hskp0 tptp.hskp23 tptp.hskp24))))) (let ((_let_1049 (AND_ELIM _let_223 :args (23)))) (let ((_let_1050 (not _let_1037))) (let ((_let_1051 (not _let_17))) (let ((_let_1052 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1019)) :args ((or _let_14 _let_1016 _let_1018 _let_1040))) (REORDERING (CNF_OR_POS :args (_let_1037)) :args ((or _let_14 _let_1016 _let_1017 _let_1050))) (REORDERING (CNF_AND_POS :args (_let_17 2)) :args ((or _let_15 _let_1051))) (REORDERING (CNF_AND_POS :args (_let_17 1)) :args ((or _let_16 _let_1051))) :args ((or _let_1051 _let_1040 _let_1050) false _let_1017 true _let_14 false _let_16)))) (let ((_let_1053 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_950 :args (tptp.a53 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 W) true))))) :args _let_949)))) (let ((_let_1054 (not _let_846))) (let ((_let_1055 (_let_1054))) (let ((_let_1056 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1055)) :args _let_1055)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1054) _let_846))) (REFL :args ((not _let_1039))) :args _let_216)))) (let ((_let_1057 (CNF_OR_NEG :args (_let_1039 0)))) (let ((_let_1058 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1039 2)) (CONG (REFL :args (_let_1039)) (MACRO_SR_PRED_INTRO :args ((= (not _let_1021) _let_1020))) :args _let_216)) :args ((or _let_1020 _let_1039))))) (let ((_let_1059 (REORDERING (CNF_OR_POS :args (_let_1025)) :args ((or _let_1024 _let_1021 _let_1023 _let_1041))))) (let ((_let_1060 (not _let_1015))) (let ((_let_1061 (REORDERING (CNF_OR_POS :args (_let_1015)) :args ((or _let_207 _let_205 _let_850 _let_1060))))) (let ((_let_1062 (or _let_1024 _let_1022 _let_1038))) (let ((_let_1063 (not _let_1030))) (let ((_let_1064 (not _let_1062))) (let ((_let_1065 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1030)) :args ((or _let_207 _let_204 _let_850 _let_1063))) _let_1061 :args ((or _let_207 _let_850 _let_1060 _let_1063) true _let_204)))) (let ((_let_1066 (MACRO_RESOLUTION_TRUST _let_955 _let_1065 _let_884 _let_882 _let_856 _let_1043 _let_1046 _let_1047 _let_1048 _let_1049 _let_1052 _let_1031 _let_1032 _let_911 _let_1014 _let_988 _let_1034 :args ((or tptp.hskp24 _let_709 _let_1013 _let_954 _let_1050 _let_1063) true _let_847 false _let_204 true _let_207 true _let_208 true _let_203 true _let_1035 false _let_140 false tptp.hskp0 true tptp.hskp23 true _let_17 false _let_1015 false _let_1019 false _let_268 false _let_167 false _let_987 false _let_1029)))) (let ((_let_1067 (MACRO_RESOLUTION_TRUST _let_1066 _let_1053 _let_951 _let_1056 (MACRO_RESOLUTION_TRUST _let_1059 (REORDERING (CNF_OR_POS :args (_let_1062)) :args ((or _let_1024 _let_1038 _let_1022 _let_1064))) _let_1058 (CNF_OR_NEG :args (_let_1039 1)) _let_1057 :args ((or _let_1039 _let_1064 _let_1041) false _let_1022 false _let_1020 true _let_1038 true _let_1024)) _let_1033 :args ((or tptp.hskp24 _let_709 _let_1013 _let_1064 _let_1063) false _let_1037 false _let_848 false _let_846 false _let_1039 false _let_1025)))) (let ((_let_1068 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_945 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_944)) :args _let_943)))) (let ((_let_1069 (MACRO_RESOLUTION_TRUST _let_1066 _let_1053 _let_951 _let_947 _let_228 _let_1068 _let_1067 :args ((or tptp.hskp24 _let_209 _let_709 _let_1013 _let_1063) false _let_1037 false _let_848 false _let_846 false tptp.ndr1_0 true _let_843 true _let_1062)))) (let ((_let_1070 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_1071 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_1072 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_1073 (or _let_1072 _let_1071 _let_1070))) (let ((_let_1074 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_1075 (or _let_1072 _let_1074 _let_1071))) (let ((_let_1076 (not _let_1070))) (let ((_let_1077 (or _let_1072 _let_1074 _let_1076))) (let ((_let_1078 (or _let_1074 _let_1071 _let_1076))) (let ((_let_1079 (not _let_1008))) (let ((_let_1080 (not _let_843))) (let ((_let_1081 (_let_1080))) (let ((_let_1082 (not _let_263))) (let ((_let_1083 (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_103 _let_261 _let_262 _let_1082))))) (let ((_let_1084 (REORDERING (CNF_OR_POS :args (_let_1008)) :args ((or _let_103 _let_634 _let_636 _let_1079))))) (let ((_let_1085 (MACRO_RESOLUTION_TRUST _let_1084 _let_1083 _let_828 _let_827 _let_826 :args ((or _let_825 _let_1079 _let_1082) false _let_262 true _let_103 false _let_105 false _let_106)))) (let ((_let_1086 (MACRO_RESOLUTION_TRUST _let_830 _let_1084 _let_828 _let_827 :args ((or _let_825 _let_829 _let_1079) true _let_262 true _let_103 false _let_105)))) (let ((_let_1087 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)))) (let ((_let_1088 (tptp.c2_1 tptp.a45))) (let ((_let_1089 (not _let_1088))) (let ((_let_1090 (or _let_20 _let_18 _let_1089))) (let ((_let_1091 (or _let_861 _let_860 _let_872))) (let ((_let_1092 (or _let_20 _let_1088 _let_18))) (let ((_let_1093 (MACRO_RESOLUTION_TRUST _let_438 _let_436 (AND_ELIM _let_223 :args (54)) _let_228 _let_433 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_153 (= X44 X46)))) _let_229 _let_228 :args ((or tptp.hskp6 _let_153) true _let_4 false tptp.hskp26 false tptp.ndr1_0 false _let_384 true (forall ((X46 $$unsorted)) (or (tptp.c1_1 X46) (tptp.c3_1 X46) (not (tptp.c2_1 X46)))) false _let_178 false tptp.ndr1_0)))) (let ((_let_1094 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (tptp.a45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)))) (let ((_let_1095 (REORDERING (AND_ELIM _let_223 :args (64)) :args ((or tptp.hskp6 tptp.hskp22 tptp.hskp26))))) (let ((_let_1096 (AND_ELIM _let_223 :args (22)))) (let ((_let_1097 (not _let_1092))) (let ((_let_1098 (not _let_1090))) (let ((_let_1099 (not _let_22))) (let ((_let_1100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1092)) :args ((or _let_20 _let_18 _let_1088 _let_1097))) (REORDERING (CNF_OR_POS :args (_let_1090)) :args ((or _let_20 _let_18 _let_1089 _let_1098))) (REORDERING (CNF_AND_POS :args (_let_22 3)) :args ((or _let_19 _let_1099))) (REORDERING (CNF_AND_POS :args (_let_22 2)) :args ((or _let_21 _let_1099))) :args ((or _let_1099 _let_1098 _let_1097) true _let_1088 true _let_18 true _let_20)))) (let ((_let_1101 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_922 :args (tptp.a45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_921)) :args _let_920)))) (let ((_let_1102 (MACRO_RESOLUTION_TRUST _let_930 (REORDERING (CNF_OR_POS :args (_let_1091)) :args ((or _let_861 _let_860 _let_872 (not _let_1091)))) _let_929 _let_928 _let_925 _let_1101 _let_1100 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)) _let_1096 _let_437 _let_1095 _let_440 _let_228 _let_1094 _let_1093 :args ((or tptp.hskp6 tptp.hskp16 tptp.hskp26 _let_927) true _let_862 true _let_860 true _let_861 true _let_871 true _let_844 true _let_1092 false _let_1091 false _let_22 false _let_260 false tptp.hskp22 false _let_385 false tptp.ndr1_0 false _let_1090 false _let_153)))) (let ((_let_1103 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)))) (let ((_let_1104 (MACRO_RESOLUTION_TRUST _let_270 _let_428 _let_433 _let_859 _let_436 _let_888 _let_438 _let_889 _let_440 _let_228 _let_890 _let_228 _let_437 _let_746 _let_753 _let_441 _let_735 _let_751 _let_748 _let_730 _let_671 _let_742 _let_713 _let_715 _let_714 _let_736 _let_228 _let_734 _let_711 _let_737 _let_728 _let_894 _let_1103 _let_364 _let_624 _let_895 (MACRO_RESOLUTION_TRUST _let_735 _let_730 _let_713 _let_715 _let_714 _let_711 _let_544 _let_675 _let_224 _let_676 _let_228 _let_657 _let_665 _let_671 _let_738 _let_372 _let_371 _let_746 _let_890 _let_228 _let_889 _let_888 _let_859 _let_605 _let_428 _let_270 _let_433 _let_436 _let_438 _let_1102 _let_824 (MACRO_RESOLUTION_TRUST _let_433 _let_436 _let_270 _let_438 _let_419 _let_228 _let_440 _let_228 _let_418 _let_437 _let_816 _let_1087 _let_1086 _let_1085 :args ((or tptp.hskp16 _let_825 _let_1079) true _let_384 false _let_178 false _let_4 false _let_251 false tptp.ndr1_0 false tptp.hskp26 false tptp.ndr1_0 true _let_259 true _let_385 true _let_143 true _let_260 true _let_635 true _let_263)) _let_441 _let_748 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_893 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_892)) :args _let_891)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1002 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1001)) :args _let_1000)) (REORDERING (CNF_OR_POS :args (_let_1078)) :args ((or _let_1074 _let_1071 _let_1076 (not _let_1078)))) (REORDERING (CNF_OR_POS :args (_let_1077)) :args ((or _let_1072 _let_1074 _let_1076 (not _let_1077)))) _let_742 (REORDERING (CNF_OR_POS :args (_let_1073)) :args ((or _let_1072 _let_1071 _let_1070 (not _let_1073)))) _let_734 (CNF_OR_NEG :args (_let_1075 2)) (CNF_OR_NEG :args (_let_1075 1)) (CNF_OR_NEG :args (_let_1075 0)) _let_728 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1081)) :args _let_1081)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1080) _let_843))) (REFL :args ((not _let_1075))) :args _let_216)) _let_364 _let_624 _let_875 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)) _let_360 _let_1068 _let_1069 _let_1067 _let_717 _let_718 :args ((or tptp.hskp24 _let_709 _let_1013 _let_886 _let_1079 _let_1063) false _let_647 false _let_643 false _let_645 true _let_698 true _let_699 true _let_333 true _let_514 false _let_117 false tptp.hskp4 false tptp.ndr1_0 true _let_322 true _let_324 false _let_91 false tptp.hskp9 true tptp.hskp13 true _let_74 false _let_706 false _let_343 false tptp.ndr1_0 true tptp.hskp15 true _let_61 false _let_839 false _let_296 false _let_143 true _let_251 true _let_178 true _let_384 false _let_4 false tptp.hskp26 true tptp.hskp6 true _let_107 true tptp.hskp16 true _let_56 true _let_879 true _let_203 true _let_1078 true _let_1077 false _let_707 false _let_1070 false _let_257 true _let_1071 true _let_1074 true _let_1072 false _let_704 true _let_1075 false _let_291 false _let_612 false _let_863 false _let_1073 false _let_276 true _let_843 false _let_209 true _let_1062 false _let_703 false _let_648)) _let_1069 _let_1061 (REORDERING (CNF_OR_NEG :args (_let_1030 1)) :args ((or _let_205 _let_1030))) _let_884 _let_883 _let_882 _let_856 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1036)) :args ((or _let_1024 _let_1021 _let_1022 (not _let_1036)))) _let_1059 _let_1058 _let_1057 _let_1056 _let_1053 _let_1052 _let_1049 _let_1048 _let_1047 _let_1046 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_1002 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_1001)) :args _let_1000)) _let_1043 :args ((or tptp.hskp24 _let_854 _let_1042 _let_1041 _let_1040) true _let_1022 false _let_1020 true _let_1024 true _let_1039 true _let_846 true _let_1037 false _let_17 false tptp.hskp23 true tptp.hskp0 true _let_140 false _let_1036 false _let_1035)) _let_731 _let_726 _let_686 _let_885 _let_716 _let_1034 _let_1033 _let_1032 _let_1031 _let_911 _let_1014 _let_988 _let_717 _let_718 :args ((or _let_565 _let_709 _let_1013) false _let_251 true _let_178 true _let_143 true _let_384 true _let_839 false _let_4 false _let_61 false tptp.hskp26 false tptp.ndr1_0 false tptp.hskp15 false tptp.ndr1_0 true _let_385 true _let_343 true _let_260 true tptp.hskp16 true _let_706 true _let_708 true _let_56 false _let_647 false _let_91 false _let_707 false _let_643 false _let_645 true _let_698 false tptp.hskp9 false tptp.ndr1_0 false _let_257 true _let_699 true _let_335 false _let_704 true _let_879 true _let_333 false _let_291 false _let_612 true _let_880 true _let_1008 false _let_209 true _let_847 false _let_1030 false _let_204 true _let_206 true _let_207 true _let_208 true _let_203 true tptp.hskp24 true _let_13 false _let_684 false _let_878 false _let_642 false _let_1029 false _let_1025 false _let_1019 false _let_1015 false _let_268 false _let_167 false _let_987 false _let_703 false _let_648)))) (let ((_let_1105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_466 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)))) (let ((_let_1106 (MACRO_RESOLUTION_TRUST _let_977 _let_725 _let_723 _let_722 _let_721 _let_731 _let_1069 _let_361 _let_550 _let_548 _let_493 _let_492 _let_545 _let_540 _let_228 _let_438 _let_436 _let_433 _let_978 _let_716 :args ((or _let_511 _let_709 _let_217 _let_1013 _let_155 _let_1063) false _let_615 false _let_10 false _let_11 false _let_12 false _let_13 false tptp.hskp24 true _let_209 true _let_279 true _let_145 true _let_28 true _let_30 false _let_33 false tptp.hskp20 false tptp.ndr1_0 true tptp.hskp26 true _let_4 false _let_384 false _let_617 false _let_642)))) (let ((_let_1107 (or _let_81 _let_193 _let_186))) (let ((_let_1108 (forall ((X22 $$unsorted)) (or (tptp.c3_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22)))))) (let ((_let_1109 (not _let_110))) (let ((_let_1110 (tptp.c2_1 tptp.a7))) (let ((_let_1111 (not _let_1110))) (let ((_let_1112 (or _let_108 _let_1111 _let_1109))) (let ((_let_1113 (not _let_111))) (let ((_let_1114 (or _let_1110 _let_1113 _let_1109))) (let ((_let_1115 (_let_1108))) (let ((_let_1116 (not _let_112))) (let ((_let_1117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)) (REORDERING (CNF_OR_POS :args (_let_1114)) :args ((or _let_1113 _let_1109 _let_1110 (not _let_1114)))) _let_678 (REORDERING (CNF_OR_POS :args (_let_1112)) :args ((or _let_108 _let_1109 _let_1111 (not _let_1112)))) _let_767 _let_228 (REORDERING (CNF_AND_POS :args (_let_112 3)) :args ((or _let_109 _let_1116))) (REORDERING (CNF_AND_POS :args (_let_112 2)) :args ((or _let_110 _let_1116))) (REORDERING (CNF_AND_POS :args (_let_112 1)) :args ((or _let_111 _let_1116))) _let_768 (AND_ELIM _let_223 :args (5)) _let_774 (AND_ELIM _let_223 :args (39)) _let_228 _let_250 _let_778 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (tptp.a7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1115) :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X22) true))))) :args _let_1115)) _let_568 _let_823 _let_228 (REORDERING (CNF_OR_POS :args (_let_1107)) :args ((or _let_81 _let_186 _let_193 (not _let_1107)))) _let_578 _let_822 _let_579 _let_821 _let_576 _let_575 :args ((or tptp.hskp11 _let_257 _let_574 _let_573) true _let_1114 false _let_333 true _let_1110 false _let_625 false tptp.ndr1_0 true _let_108 false _let_110 false _let_111 true tptp.hskp19 false _let_112 true _let_38 false tptp.hskp5 false tptp.ndr1_0 true _let_238 false _let_266 false _let_1112 true _let_1108 true _let_192 false _let_268 false tptp.ndr1_0 true _let_1107 true _let_195 true _let_344 false _let_187 true _let_346 true _let_81 false _let_83)))) (let ((_let_1118 (MACRO_RESOLUTION_TRUST _let_1102 _let_441 _let_875 _let_748 _let_932 _let_742 _let_948 _let_228 _let_1117 _let_1101 _let_249 _let_1100 _let_248 _let_1096 _let_572 _let_233 _let_1094 _let_245 _let_1095 _let_819 _let_228 _let_1093 _let_824 _let_1086 _let_816 _let_414 _let_453 _let_228 _let_451 (MACRO_RESOLUTION_TRUST _let_1106 _let_1105 _let_468 _let_537 _let_562 _let_561 _let_567 _let_1104 _let_557 :args ((or _let_148 _let_709 _let_217 _let_1013) false _let_1030 false _let_147 true _let_511 true _let_344 true _let_556 true _let_402 true _let_192 false _let_555)) _let_438 _let_436 _let_433 _let_1103 _let_678 _let_767 _let_768 _let_774 _let_778 _let_911 _let_1014 _let_988 _let_228 _let_250 _let_818 _let_1104 :args ((or _let_709 _let_217 _let_1013) true tptp.hskp16 false _let_863 true _let_56 false _let_209 false _let_707 false _let_840 false tptp.ndr1_0 false _let_257 true _let_844 true tptp.hskp11 true _let_1092 true _let_80 false _let_22 false _let_85 false _let_188 false _let_1090 false _let_237 false tptp.hskp22 false tptp.hskp10 false tptp.ndr1_0 false _let_153 true tptp.hskp6 true _let_107 false _let_635 false _let_143 false _let_142 false tptp.ndr1_0 true _let_449 true _let_144 true tptp.hskp26 true _let_4 false _let_384 false _let_1008 false _let_333 false _let_625 true tptp.hskp19 true _let_38 false _let_266 false _let_268 false _let_167 false _let_987 false tptp.ndr1_0 true _let_238 true _let_817 true _let_192)))) (let ((_let_1119 (or _let_290 _let_289 _let_374))) (let ((_let_1120 (MACRO_RESOLUTION_TRUST _let_572 _let_1117 _let_819 _let_228 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X21) true))))) :args _let_739)) _let_824 (REORDERING (CNF_OR_POS :args (_let_1119)) :args ((or _let_289 _let_374 _let_290 (not _let_1119)))) _let_1085 _let_426 _let_1087 _let_425 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_375 2)) (CONG (REFL :args (_let_375)) (MACRO_SR_PRED_INTRO :args ((= (not _let_374) _let_373))) :args _let_216)) :args ((or _let_373 _let_375))) _let_421 _let_420 _let_419 _let_228 _let_417 _let_418 :args ((or tptp.hskp11 _let_143 _let_251 _let_817 _let_573 _let_1079) true _let_85 false tptp.hskp10 false tptp.ndr1_0 true _let_257 true tptp.hskp6 true _let_1119 true _let_107 true _let_290 false _let_263 false _let_377 false _let_373 true _let_288 true _let_289 false _let_260 false tptp.ndr1_0 true _let_375 true _let_259)))) (let ((_let_1121 (MACRO_RESOLUTION_TRUST _let_816 _let_1120 _let_1086 _let_1103 _let_824 _let_678 _let_819 _let_228 _let_767 _let_228 _let_818 _let_250 :args ((or tptp.hskp10 tptp.hskp11 tptp.hskp19 _let_192 _let_251 _let_573) false _let_143 true _let_635 false _let_1008 false _let_107 false _let_333 false tptp.hskp6 false tptp.ndr1_0 false _let_625 false tptp.ndr1_0 true _let_817 true _let_238)))) (let ((_let_1122 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)))) (let ((_let_1123 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1124 (not _let_1123))) (let ((_let_1125 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1126 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1127 (or _let_1126 _let_1125 _let_1124))) (let ((_let_1128 (or _let_300 _let_297 _let_306))) (let ((_let_1129 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)))) (let ((_let_1130 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_1131 (not _let_1130))) (let ((_let_1132 (or _let_1125 _let_1131 _let_1124))) (let ((_let_1133 (not _let_1126))) (let ((_let_1134 (or _let_1131 _let_1133 _let_1124))) (let ((_let_1135 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1136 (not _let_1135))) (let ((_let_1137 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1138 (not _let_1137))) (let ((_let_1139 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1140 (or _let_1139 _let_1138 _let_1136))) (let ((_let_1141 (or _let_285 _let_284 _let_393))) (let ((_let_1142 (tptp.c1_1 tptp.a22))) (let ((_let_1143 (not _let_1142))) (let ((_let_1144 (or _let_72 _let_68 _let_1143))) (let ((_let_1145 (or _let_207 _let_206 _let_847))) (let ((_let_1146 (not _let_1128))) (let ((_let_1147 (not _let_312))) (let ((_let_1148 (not _let_1127))) (let ((_let_1149 (not _let_344))) (let ((_let_1150 (_let_1149))) (let ((_let_1151 (REFL :args (_let_1132)))) (let ((_let_1152 (not _let_1141))) (let ((_let_1153 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_1154 (not _let_1153))) (let ((_let_1155 (or _let_1137 _let_1139 _let_1154))) (let ((_let_1156 (tptp.c3_1 tptp.a15))) (let ((_let_1157 (or _let_94 _let_1156 _let_621))) (let ((_let_1158 (or _let_72 _let_1142 _let_70))) (let ((_let_1159 (not _let_1156))) (let ((_let_1160 (or _let_92 _let_621 _let_1159))) (let ((_let_1161 (or _let_1139 _let_1154 _let_1136))) (let ((_let_1162 (not _let_1140))) (let ((_let_1163 (not _let_1144))) (let ((_let_1164 (not _let_301))) (let ((_let_1165 (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_300 _let_299 _let_298 _let_1164))))) (let ((_let_1166 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_656 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_655)) :args _let_654)))) (let ((_let_1167 (not _let_327))) (let ((_let_1168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_327)) :args ((or _let_311 _let_326 _let_308 _let_1167))) (REORDERING (CNF_OR_POS :args (_let_312)) :args ((or _let_311 _let_310 _let_309 _let_1147))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_332 2)) (CONG (REFL :args (_let_332)) (MACRO_SR_PRED_INTRO :args ((= (not _let_326) _let_325))) :args _let_216)) :args ((or _let_325 _let_332))) (CNF_OR_NEG :args (_let_332 1)) (CNF_OR_NEG :args (_let_332 0)) :args ((or _let_332 _let_1147 _let_1167) true _let_308 false _let_325 true _let_310 true _let_311)))) (let ((_let_1169 (not _let_334))) (let ((_let_1170 (_let_1169))) (let ((_let_1171 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1170)) :args _let_1170)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1169) _let_334))) (REFL :args ((not _let_332))) :args _let_216)))) (let ((_let_1172 (not _let_1157))) (let ((_let_1173 (not _let_1160))) (let ((_let_1174 (not _let_343))) (let ((_let_1175 (_let_1174))) (let ((_let_1176 (REFL :args (_let_1161)))) (let ((_let_1177 (not _let_1145))) (let ((_let_1178 (REORDERING (CNF_OR_POS :args (_let_1145)) :args ((or _let_207 _let_206 _let_847 _let_1177))))) (let ((_let_1179 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_945 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_944)) :args _let_943)))) (let ((_let_1180 (_let_1010))) (let ((_let_1181 (not _let_1010))) (let ((_let_1182 (not _let_1011))) (let ((_let_1183 (not _let_256))) (let ((_let_1184 (MACRO_RESOLUTION_TRUST _let_942 (REORDERING (CNF_OR_POS :args (_let_256)) :args ((or _let_212 _let_253 _let_255 _let_1183))) _let_938 _let_937 _let_936 :args ((or _let_254 _let_941 _let_1183) true _let_211 true _let_210 true _let_253 true _let_212)))) (let ((_let_1185 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1012)) :args ((or _let_64 _let_62 _let_1005 (not _let_1012)))) (REORDERING (CNF_OR_POS :args (_let_1007)) :args ((or _let_64 _let_318 _let_1006 (not _let_1007)))) _let_795 _let_794 _let_793 _let_790 _let_789 _let_228 _let_680 _let_674 _let_372 _let_371 _let_360 _let_935 _let_1184 _let_274 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) _let_787 _let_228 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_1180) :args ((or _let_630 _let_1009 _let_865 _let_1181))) (REORDERING (CNF_OR_POS :args (_let_1011)) :args ((or _let_866 _let_630 _let_865 _let_1182))) :args ((or _let_630 _let_865 _let_1182 _let_1181) false _let_866)) _let_903 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1010 0)) (CONG (REFL :args _let_1180) (MACRO_SR_PRED_INTRO :args ((= (not _let_1009) _let_866))) :args _let_216)) :args ((or _let_866 _let_1010))) _let_902 _let_901 _let_900 _let_906 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_370 _let_369 _let_368 _let_367 _let_372 _let_360 _let_673 _let_947 _let_228 _let_672 _let_671 _let_1179 _let_670 _let_665 _let_951 _let_1178 _let_1065 _let_659 _let_657 (MACRO_RESOLUTION_TRUST _let_955 _let_1065 _let_884 _let_882 :args ((or _let_208 _let_1060 _let_954 _let_1063) true _let_847 false _let_204 true _let_207)) _let_883 _let_882 _let_676 _let_228 _let_856 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1155)) :args ((or _let_1139 _let_1154 _let_1137 (not _let_1155)))) (REORDERING (CNF_OR_POS :args (_let_1140)) :args ((or _let_1139 _let_1136 _let_1138 _let_1162))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1161 2)) (CONG _let_1176 (MACRO_SR_PRED_INTRO :args ((= (not _let_1136) _let_1135))) :args _let_216)) :args ((or _let_1135 _let_1161))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1161 1)) (CONG _let_1176 (MACRO_SR_PRED_INTRO :args ((= (not _let_1154) _let_1153))) :args _let_216)) :args ((or _let_1153 _let_1161))) (CNF_OR_NEG :args (_let_1161 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1175)) :args _let_1175)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1174) _let_343))) (REFL :args ((not _let_1161))) :args _let_216)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_745 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_744)) :args _let_743)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1160)) :args ((or _let_92 _let_621 _let_1159 _let_1173))) (REORDERING (CNF_OR_POS :args (_let_1157)) :args ((or _let_94 _let_621 _let_1156 _let_1172))) _let_997 _let_996 _let_995 :args ((or _let_221 _let_1173 _let_1172) false _let_1156 true _let_92 true _let_94 false _let_96)) _let_225 _let_227 _let_226 _let_980 _let_981 (AND_ELIM _let_223 :args (29)) _let_228 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_843 (= U X)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_945 :args (tptp.a22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_944)) :args _let_943)) (REORDERING (CNF_OR_POS :args (_let_1158)) :args ((or _let_72 _let_70 _let_1142 (not _let_1158)))) (REORDERING (CNF_OR_POS :args (_let_1144)) :args ((or _let_72 _let_68 _let_1143 _let_1163))) _let_369 _let_368 _let_367 _let_372 _let_673 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_523 :args (tptp.a15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_522)) :args _let_521)) _let_672 _let_1171 _let_671 _let_670 _let_1168 _let_665 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_656 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_658)) :args _let_654)) _let_659 _let_1166 _let_657 _let_680 _let_789 _let_228 _let_790 _let_796 _let_800 _let_803 _let_1047 (MACRO_RESOLUTION_TRUST _let_1165 (REORDERING (CNF_OR_POS :args (_let_1128)) :args ((or _let_300 _let_306 _let_297 _let_1146))) _let_809 _let_808 _let_807 :args ((or _let_313 _let_1164 _let_1146) false _let_297 false _let_305 true _let_299 true _let_300)) _let_1046 _let_1004 _let_1043 :args ((or tptp.hskp2 tptp.hskp4 _let_854 _let_623 _let_1163 _let_1147 _let_1042 _let_1146 _let_653 _let_1162) true _let_1137 false _let_1135 false _let_1153 true _let_1139 true _let_1161 true _let_343 true _let_1160 false _let_97 false tptp.hskp8 true tptp.hskp17 true _let_50 false _let_349 false _let_350 false tptp.ndr1_0 true (forall ((X $$unsorted)) (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X))) true _let_843 true _let_1158 true _let_1142 true _let_68 true _let_70 true _let_72 false _let_74 false tptp.hskp13 false _let_1157 true tptp.hskp7 false _let_334 true tptp.hskp9 true _let_102 false _let_332 true _let_91 false _let_1155 false _let_652 false _let_327 false _let_324 false _let_322 false _let_321 false tptp.ndr1_0 true tptp.hskp14 true _let_67 false _let_319 false _let_314 true tptp.hskp0 false _let_313 true _let_140 false _let_301 false _let_1035)) _let_224 _let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_486 :args (tptp.a22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_485)) :args _let_484)) _let_481 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1141)) :args ((or _let_284 _let_393 _let_285 _let_1152))) _let_473 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_394 2)) (CONG (REFL :args (_let_394)) (MACRO_SR_PRED_INTRO :args ((= (not _let_393) _let_392))) :args _let_216)) :args ((or _let_392 _let_394))) _let_472 _let_471 :args ((or _let_394 _let_1152 _let_470) true _let_285 false _let_392 true _let_284 true _let_286)) _let_788 _let_608 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_603 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_858)) :args _let_601)) _let_605 _let_604 _let_1120 _let_270 _let_1106 _let_544 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)) _let_651 _let_1103 _let_678 _let_767 _let_228 _let_818 _let_250 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)) (REORDERING (CNF_OR_POS :args (_let_1134)) :args ((or _let_1131 _let_1124 _let_1133 (not _let_1134)))) (REORDERING (CNF_OR_POS :args (_let_1127)) :args ((or _let_1125 _let_1124 _let_1126 _let_1148))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1132 2)) (CONG _let_1151 (MACRO_SR_PRED_INTRO :args ((= (not _let_1124) _let_1123))) :args _let_216)) :args ((or _let_1123 _let_1132))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1132 1)) (CONG _let_1151 (MACRO_SR_PRED_INTRO :args ((= (not _let_1131) _let_1130))) :args _let_216)) :args ((or _let_1130 _let_1132))) (CNF_OR_NEG :args (_let_1132 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1150)) :args _let_1150)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1149) _let_344))) (REFL :args ((not _let_1132))) :args _let_216)) _let_537 _let_1034 :args ((or tptp.hskp11 tptp.hskp19 _let_344 _let_709 _let_573 _let_1148 _let_1013 _let_1147 _let_1060 _let_1146 _let_470 _let_155 _let_1063) true _let_68 true _let_70 true _let_72 false _let_74 false _let_276 false tptp.hskp13 false _let_209 false tptp.ndr1_0 true tptp.hskp7 true tptp.hskp9 true _let_843 true _let_102 true _let_91 true _let_846 true _let_1145 true _let_847 false _let_652 false _let_324 true _let_848 true _let_206 true _let_207 false _let_322 false tptp.ndr1_0 true _let_208 true _let_203 true tptp.hskp4 true _let_117 false _let_1144 false _let_177 false _let_394 true tptp.hskp2 true _let_130 false _let_1141 false _let_296 false _let_293 false _let_143 true _let_251 true _let_178 false _let_514 false _let_1140 false _let_331 false _let_1008 false _let_333 false _let_625 false tptp.ndr1_0 true _let_817 true _let_238 true _let_192 true _let_1134 false _let_1126 false _let_1123 false _let_1130 true _let_1125 true _let_1132 true _let_511 false _let_1029)) _let_1105 _let_468 _let_467 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_466 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_465)) :args _let_464)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_231)) :args _let_230)) _let_1129 _let_822 _let_821 _let_572 _let_1121 _let_768 _let_774 _let_778 _let_233 _let_270 _let_1104 _let_249 _let_248 _let_245 _let_229 _let_228 _let_1118 _let_1031 _let_911 _let_1014 _let_988 :args ((or _let_148 _let_709 _let_1013) false _let_1030 false _let_147 false _let_390 false _let_1128 false _let_1127 false _let_312 true _let_344 true _let_346 false _let_85 false tptp.hskp10 true tptp.hskp19 true _let_38 false _let_266 false _let_188 true _let_251 true _let_192 true tptp.hskp11 true _let_80 false _let_237 false _let_153 false tptp.ndr1_0 true _let_178 false _let_1015 false _let_268 false _let_167 false _let_987)) _let_788 _let_1122 _let_608 _let_1117 _let_605 _let_604 _let_572 _let_1120 _let_1121 _let_249 _let_248 _let_815 _let_233 _let_245 _let_229 _let_228 _let_270 _let_1118 _let_651 _let_1103 _let_678 _let_767 _let_228 _let_818 _let_250 _let_1104 _let_768 _let_774 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (tptp.a24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)) _let_778 _let_911 _let_1014 _let_988 :args ((or _let_709 _let_1013) true _let_1005 true _let_62 true _let_64 false _let_66 false _let_67 false tptp.hskp14 false tptp.ndr1_0 true _let_321 true _let_322 true tptp.hskp13 true _let_74 false _let_276 false _let_209 false _let_254 false _let_213 false _let_1012 false _let_156 false tptp.ndr1_0 true _let_157 true _let_1011 false _let_632 false _let_1010 false _let_629 true _let_631 true _let_866 true _let_869 true _let_144 true tptp.hskp2 false _let_256 true _let_130 false _let_257 false _let_296 false _let_293 false _let_85 false _let_143 false tptp.hskp10 true tptp.hskp11 true _let_80 false _let_633 false _let_188 false _let_237 false _let_153 false tptp.ndr1_0 true _let_251 true _let_178 false _let_331 false _let_1008 false _let_333 false _let_625 false tptp.ndr1_0 true _let_817 true _let_238 true _let_192 true tptp.hskp19 true _let_38 false _let_1007 false _let_266 false _let_268 false _let_167 false _let_987)))) (let ((_let_1186 (not _let_304))) (let ((_let_1187 (_let_709))) (let ((_let_1188 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1187)) :args _let_1187)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_709) _let_154))) (REFL :args (_let_1186)) :args _let_216)))) (let ((_let_1189 (CNF_OR_NEG :args (_let_304 0)))) (let ((_let_1190 (REFL :args (_let_304)))) (let ((_let_1191 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_304 1)) (CONG _let_1190 (MACRO_SR_PRED_INTRO :args ((= (not _let_242) _let_241))) :args _let_216)) :args ((or _let_241 _let_304))))) (let ((_let_1192 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_304 2)) (CONG _let_1190 (MACRO_SR_PRED_INTRO :args ((= (not _let_303) _let_302))) :args _let_216)) :args ((or _let_302 _let_304))))) (let ((_let_1193 (not _let_317))) (let ((_let_1194 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_523 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_522)) :args _let_521)))) (let ((_let_1195 (or _let_243 _let_240 _let_303))) (let ((_let_1196 (or _let_239 _let_242 _let_303))) (let ((_let_1197 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_777 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_776)) :args _let_775)))) (let ((_let_1198 (REORDERING (CNF_OR_POS :args (_let_1195)) :args ((or _let_243 _let_303 _let_240 (not _let_1195)))))) (let ((_let_1199 (not _let_1196))) (let ((_let_1200 (REORDERING (CNF_OR_POS :args (_let_1196)) :args ((or _let_242 _let_303 _let_239 _let_1199))))) (let ((_let_1201 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)))) (let ((_let_1202 (not _let_340))) (let ((_let_1203 (REORDERING (CNF_OR_POS :args (_let_340)) :args ((or _let_339 _let_337 _let_338 _let_1202))))) (let ((_let_1204 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_1203 _let_985 _let_530 _let_529 _let_982 :args ((or _let_353 _let_1202 _let_984) true _let_338 false _let_351 false _let_336 true _let_339)) _let_986 _let_526 _let_582 _let_981 _let_571 _let_228 _let_980 _let_572 _let_226 _let_821 _let_752 _let_228 _let_822 _let_749 _let_823 _let_228 _let_974 (MACRO_RESOLUTION_TRUST _let_767 _let_228 _let_678 _let_250 _let_1201 _let_686 _let_1200 _let_724 _let_768 _let_1198 _let_992 _let_774 _let_1197 _let_991 _let_778 :args ((or _let_618 _let_614 _let_613 _let_909 _let_243 _let_242 _let_303) false tptp.ndr1_0 true _let_625 true _let_238 true _let_333 true _let_192 true _let_1196 true _let_684 true tptp.hskp19 true _let_239 false _let_615 true _let_38 false _let_1195 false _let_970 false _let_266)) _let_973 _let_723 _let_722 _let_721 _let_668 _let_731 _let_672 _let_1194 _let_736 _let_228 _let_673 _let_737 _let_1171 _let_671 _let_651 _let_971 _let_972 _let_1168 _let_665 _let_674 _let_1166 _let_657 _let_697 _let_680 _let_696 _let_789 _let_228 _let_275 _let_790 _let_483 _let_796 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_317)) :args ((or _let_282 _let_316 _let_315 _let_1193))) _let_477 _let_689 _let_475 :args ((or _let_280 _let_320 _let_412 _let_1193) false _let_281 true _let_316 true _let_282)) _let_476 :args ((or _let_320 _let_412 _let_1193) true _let_280)) _let_800 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) _let_803 _let_249 (MACRO_RESOLUTION_TRUST _let_834 _let_1165 _let_809 _let_808 _let_807 :args ((or _let_313 _let_833 _let_1164) true _let_297 false _let_305 true _let_299 true _let_300)) _let_248 _let_1129 _let_814 _let_245 _let_229 _let_228 (MACRO_RESOLUTION_TRUST _let_551 _let_468 _let_488 _let_452 _let_483 _let_552 _let_454 _let_228 _let_692 _let_593 _let_459 _let_226 _let_462 (MACRO_RESOLUTION_TRUST _let_586 _let_582 _let_600 _let_581 _let_599 _let_598 _let_597 _let_468 _let_488 _let_595 _let_452 _let_483 _let_594 _let_454 _let_228 _let_692 _let_459 _let_462 _let_458 _let_568 :args ((or tptp.hskp17 tptp.hskp26 _let_154 _let_565 _let_412) false _let_169 true _let_409 false _let_200 true _let_23 false _let_25 false _let_26 false _let_147 false _let_152 false _let_27 false _let_144 false _let_156 false tptp.hskp21 false _let_450 false tptp.ndr1_0 false _let_320 true tptp.hskp25 true _let_9 false _let_406 false _let_195)) _let_458 (MACRO_RESOLUTION_TRUST _let_998 _let_997 _let_996 _let_995 _let_225 _let_994 _let_228 _let_671 _let_993 _let_665 _let_786 _let_999 _let_657 _let_782 _let_680 _let_550 _let_813 _let_493 _let_492 _let_491 _let_545 _let_563 _let_567 :args ((or _let_192 _let_217 _let_623 _let_549) true _let_92 true _let_94 false _let_96 false _let_97 false tptp.hskp8 false tptp.ndr1_0 true tptp.hskp9 true _let_620 true _let_91 true _let_157 false _let_622 false _let_324 true _let_779 false _let_322 false _let_145 false _let_321 true _let_28 true _let_30 false _let_32 false _let_33 false tptp.hskp20 true _let_402)) _let_438 _let_436 _let_433 _let_432 :args ((or _let_154 _let_217 _let_623 _let_549 _let_412) false _let_147 false _let_152 false _let_144 false _let_156 true _let_153 false _let_450 false tptp.ndr1_0 false _let_320 true _let_397 true tptp.hskp25 false _let_50 true _let_9 false tptp.hskp17 false _let_406 false _let_192 true tptp.hskp26 true _let_4 false _let_384 false _let_380)) _let_1192 _let_1191 _let_1189 _let_1188 _let_570 _let_1185 _let_1004 _let_1003 _let_788 (MACRO_RESOLUTION_TRUST _let_999 _let_998 _let_997 _let_996 _let_995 _let_225 _let_994 _let_228 _let_993 _let_975 _let_976 _let_977 _let_978 (MACRO_RESOLUTION_TRUST _let_250 _let_907 _let_767 _let_228 (REORDERING (CNF_OR_NEG :args (_let_642 0)) :args ((or _let_616 _let_642))) _let_768 _let_992 _let_774 _let_991 _let_778 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_163 1)) (CONG (REFL :args _let_916) (MACRO_SR_PRED_INTRO :args ((= (not _let_161) _let_160))) :args _let_216)) :args ((or _let_160 _let_163))) _let_990 _let_931 _let_718 _let_988 _let_716 _let_836 _let_570 _let_571 _let_228 _let_572 _let_821 _let_822 _let_915 _let_913 _let_823 _let_228 _let_911 :args ((or tptp.hskp2 tptp.hskp11 _let_203 _let_200 _let_268 _let_356 _let_184 _let_182 _let_180 _let_588 _let_853 _let_623 _let_874) true _let_160 true _let_163 false _let_648 false _let_987 false _let_642 false _let_641 false _let_154 false _let_201 false tptp.ndr1_0 true tptp.hskp10 true _let_85 false _let_346 false _let_164 true _let_162 false _let_344 false tptp.ndr1_0 true _let_167)) _let_582 _let_986 _let_788 _let_985 _let_249 _let_608 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_969)) :args ((or _let_339 _let_352 _let_338 _let_983))) _let_530 _let_982 :args ((or _let_353 _let_338 _let_983) false _let_351 true _let_339)) _let_248 _let_859 _let_604 _let_815 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_232 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_234)) :args _let_230)) _let_552 _let_245 _let_762 _let_761 _let_760 _let_428 _let_229 _let_228 _let_219 _let_270 _let_982 _let_530 _let_526 _let_981 _let_980 _let_226 _let_752 _let_749 _let_228 _let_697 _let_696 _let_275 (MACRO_RESOLUTION_TRUST _let_229 _let_228 _let_691 _let_978 _let_690 _let_977 _let_477 _let_976 _let_476 _let_689 _let_475 _let_975 _let_483 _let_787 _let_228 :args ((or _let_156 _let_618 _let_614 _let_613 _let_412) false tptp.ndr1_0 true _let_153 true _let_178 true _let_688 true _let_617 false _let_281 false _let_615 true _let_280 true _let_316 true _let_282 false _let_619 true _let_320 false _let_157 false tptp.ndr1_0)) _let_721 _let_723 _let_722 _let_731 _let_738 _let_678 _let_677 _let_974 _let_973 _let_972 _let_971 _let_674 _let_668 _let_672 _let_673 _let_671 _let_665 _let_657 _let_968 _let_624 _let_372 _let_371 _let_360 _let_361 _let_364 _let_362 :args ((or _let_203 _let_178 _let_356 _let_623) true _let_192 false _let_238 false tptp.ndr1_0 false _let_642 true tptp.hskp19 false _let_615 true _let_38 false _let_970 false _let_266 false _let_268 true _let_200 true _let_169 true tptp.hskp2 true _let_355 true tptp.hskp11 true _let_130 false _let_338 true _let_80 false _let_839 false _let_293 false _let_633 false _let_969 false _let_397 false _let_237 false _let_179 false _let_181 false _let_183 false _let_143 false _let_153 false tptp.ndr1_0 true _let_185 true _let_251 true _let_339 false _let_351 true _let_353 true _let_350 true _let_349 false _let_50 false tptp.hskp17 true _let_345 false tptp.ndr1_0 true tptp.hskp18 true _let_45 false _let_252 false _let_156 false _let_12 false _let_10 false _let_11 false _let_13 false tptp.hskp24 true _let_625 true _let_333 true _let_343 true _let_342 true _let_98 false _let_100 true _let_331 false _let_101 false _let_102 false tptp.hskp7 true tptp.hskp9 true _let_91 false _let_324 false _let_322 false _let_612 true tptp.hskp13 true _let_74 false _let_276 false _let_279 false _let_291 false _let_283)) _let_723 _let_722 _let_721 _let_731 _let_738 _let_671 _let_665 _let_657 _let_968 _let_362 _let_624 _let_361 _let_364 _let_372 _let_371 _let_360 :args ((or _let_203 _let_356 _let_623) true _let_622 true _let_92 true _let_94 false _let_96 false _let_97 false tptp.hskp8 false tptp.ndr1_0 true _let_620 true _let_157 true _let_619 true _let_615 false _let_617 false _let_178 false _let_10 false _let_11 false _let_12 false _let_13 false tptp.hskp24 true tptp.hskp9 true _let_91 false _let_324 false _let_322 false _let_283 false _let_612 false _let_279 false _let_291 true tptp.hskp13 true _let_74 false _let_276)) _let_608 _let_605 _let_604 (MACRO_RESOLUTION_TRUST _let_600 _let_599 _let_598 _let_597 _let_595 _let_594 _let_226 _let_593 _let_586 _let_459 _let_582 _let_462 _let_581 _let_458 _let_568 _let_567 _let_563 _let_552 _let_545 _let_551 _let_494 _let_488 _let_487 _let_483 _let_481 _let_478 (MACRO_RESOLUTION_TRUST _let_473 (REORDERING (CNF_OR_POS :args (_let_287)) :args ((or _let_286 _let_284 _let_285 _let_411))) _let_472 _let_471 :args ((or _let_394 _let_411 _let_470) false _let_285 true _let_284 true _let_286)) _let_469 _let_468 _let_467 _let_463 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (tptp.a30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)) (REORDERING (CNF_OR_POS :args (_let_388)) :args ((or _let_53 _let_387 _let_386 (not _let_388)))) (REORDERING (CNF_OR_POS :args (_let_278)) :args ((or _let_53 _let_51 _let_277 _let_413))) _let_445 _let_444 _let_443 _let_441 _let_440 _let_228 _let_438 _let_437 _let_436 _let_425 _let_433 _let_432 _let_426 _let_427 _let_270 _let_421 _let_420 _let_428 _let_417 _let_414 :args ((or _let_143 _let_413 _let_412 _let_411 _let_410) true _let_23 false _let_25 false _let_26 false _let_27 false tptp.hskp21 true tptp.hskp17 true _let_50 false _let_409 true tptp.hskp25 false _let_169 true _let_9 false _let_200 false _let_406 false _let_195 false _let_192 false _let_402 false _let_397 true tptp.hskp20 false _let_153 true _let_33 false _let_152 false _let_396 false _let_156 false _let_177 false _let_320 false _let_394 false _let_391 false _let_147 false _let_390 false _let_144 true _let_154 true _let_388 false _let_277 true _let_51 true _let_53 false _let_55 false _let_56 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp26 true _let_385 true _let_4 true _let_260 false _let_384 false _let_380 true _let_377 false _let_290 false _let_178 true _let_288 true _let_289 false _let_251 true _let_375 true _let_142)) _let_372 _let_371 _let_364 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)) _let_362 _let_361 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_359 :args (tptp.a30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_358)) :args _let_357)) _let_360 :args (_let_356 false _let_355 true _let_353 false _let_169 true _let_350 false _let_200 false tptp.ndr1_0 true _let_349 true tptp.hskp10 false _let_50 true _let_85 false tptp.hskp17 false tptp.ndr1_0 false _let_346 true _let_345 false _let_344 false tptp.ndr1_0 true _let_343 true _let_268 true _let_342 false _let_10 false _let_11 false _let_12 false _let_101 false _let_13 false _let_102 false _let_340 false tptp.hskp24 false tptp.ndr1_0 false tptp.hskp7 true _let_335 false _let_334 true tptp.hskp9 true _let_333 false _let_100 true _let_98 false _let_332 true _let_91 true _let_331 false _let_327 false _let_324 true tptp.hskp18 false _let_322 true _let_45 false _let_321 false tptp.ndr1_0 false _let_252 true tptp.hskp14 false _let_156 true _let_67 false _let_320 false _let_319 false _let_317 false _let_314 true tptp.hskp11 false _let_313 true _let_80 false _let_312 false _let_307 false _let_237 false _let_153 false tptp.ndr1_0 true _let_178 false _let_302 false _let_241 true _let_243 true _let_304 true _let_201 true _let_154 false _let_301 false _let_202 true tptp.hskp2 false _let_203 true _let_130 false _let_296 false _let_293 false _let_143 true tptp.hskp13 true _let_74 false _let_291 false _let_287 false _let_283 false _let_279 false _let_278 false _let_276)))) (let ((_let_1205 (or _let_212 _let_210 _let_255))) (let ((_let_1206 (MACRO_RESOLUTION_TRUST _let_947 _let_228 _let_1179 _let_951 (MACRO_RESOLUTION_TRUST _let_957 _let_1178 _let_884 _let_883 _let_882 :args ((or _let_208 _let_1177 _let_953) false _let_847 false _let_204 true _let_206 true _let_207)) _let_958 :args ((or _let_209 _let_208 _let_953) false tptp.ndr1_0 true _let_843 true _let_846 true _let_1145 true _let_848)))) (let ((_let_1207 (MACRO_RESOLUTION_TRUST _let_804 _let_228 _let_897 _let_811 _let_896 _let_959 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_851 1)) (CONG (REFL :args _let_956) (MACRO_SR_PRED_INTRO :args ((= (not _let_850) _let_847))) :args _let_216)) :args ((or _let_847 _let_851))) _let_1206 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_486 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_485)) :args _let_484)) (REORDERING (CNF_OR_POS :args (_let_1205)) :args ((or _let_212 _let_210 _let_255 (not _let_1205)))) _let_942 _let_938 _let_936 _let_935 _let_883 _let_882 :args ((or _let_209 _let_941 _let_208) false tptp.ndr1_0 true _let_314 true _let_781 true _let_881 true _let_169 false _let_847 true _let_851 true _let_177 true _let_1205 false _let_211 true _let_210 true _let_212 true _let_254 true _let_206 true _let_207)))) (let ((_let_1208 (MACRO_RESOLUTION_TRUST _let_935 _let_1204 :args (_let_933 true _let_209)))) (let ((_let_1209 (MACRO_RESOLUTION_TRUST _let_936 _let_1208 :args ((not _let_212) true _let_254)))) (let ((_let_1210 (MACRO_RESOLUTION_TRUST _let_938 _let_1208 :args ((not _let_210) true _let_254)))) (let ((_let_1211 (MACRO_RESOLUTION_TRUST _let_937 _let_1208 :args ((not _let_253) true _let_254)))) (let ((_let_1212 (MACRO_RESOLUTION_TRUST _let_547 _let_1204 :args ((not _let_267) true _let_209)))) (let ((_let_1213 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)))) (let ((_let_1214 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_784)) :args _let_783)))) (let ((_let_1215 (or _let_243 _let_239 _let_242))) (let ((_let_1216 (not _let_244))) (let ((_let_1217 (REORDERING (CNF_OR_POS :args (_let_244)) :args ((or _let_243 _let_242 _let_240 _let_1216))))) (let ((_let_1218 (MACRO_RESOLUTION_TRUST _let_1200 _let_1217 _let_1192 _let_1191 _let_1189 :args ((or _let_304 _let_1216 _let_1199) true _let_239 false _let_302 false _let_241 true _let_243)))) (let ((_let_1219 (MACRO_RESOLUTION_TRUST _let_946 _let_960 _let_228 _let_274 _let_959 _let_1207 _let_1206 :args ((or tptp.hskp1 _let_209 _let_208) false _let_845 false tptp.ndr1_0 true _let_156 true _let_169 true _let_213 true _let_851)))) (let ((_let_1220 (REORDERING (CNF_OR_POS :args (_let_215)) :args ((or _let_133 _let_189 _let_214 (not _let_215)))))) (let ((_let_1221 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_131 _let_189 _let_190 (not _let_191)))))) (let ((_let_1222 (MACRO_RESOLUTION_TRUST _let_1221 _let_1220 _let_1214 _let_965 _let_964 _let_963 _let_787 _let_228 _let_961 _let_274 _let_1219 _let_1204 _let_1207 _let_1204 _let_856 _let_1003 _let_1185 _let_570 _let_571 _let_228 _let_582 _let_756 _let_572 _let_765 _let_580 _let_687 _let_568 (MACRO_RESOLUTION_TRUST _let_1221 _let_1220 _let_965 _let_964 _let_963 _let_961 _let_1219 _let_1204 _let_856 _let_1003 _let_1185 (MACRO_RESOLUTION_TRUST _let_917 _let_918 _let_911 _let_582 _let_778 _let_571 _let_228 _let_774 _let_572 _let_768 _let_1117 _let_767 _let_228 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_741 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_740)) :args _let_739)) _let_678 (REORDERING (CNF_OR_POS :args (_let_1215)) :args ((or _let_243 _let_242 _let_239 (not _let_1215)))) _let_1201 _let_1217 _let_1218 _let_1191 _let_1189 _let_1188 _let_570 :args ((or tptp.hskp11 _let_154 _let_238 _let_573 _let_168 _let_1216) false _let_166 true _let_167 false _let_169 true _let_268 false _let_200 false tptp.ndr1_0 true _let_266 true tptp.hskp10 false _let_38 true _let_85 false tptp.hskp19 false tptp.ndr1_0 true _let_257 true _let_625 true _let_1215 true _let_333 true _let_239 true _let_1196 false _let_241 true _let_243 true _let_304 true _let_201)) _let_1214 _let_1213 _let_835 _let_787 _let_228 (MACRO_RESOLUTION_TRUST _let_778 (MACRO_RESOLUTION_TRUST _let_1203 _let_985 _let_530 _let_529 _let_982 _let_526 _let_981 _let_980 _let_226 _let_1194 _let_752 _let_228 _let_527 _let_749 _let_546 _let_228 _let_832 _let_1103 _let_831 _let_1084 _let_1083 _let_828 _let_827 _let_826 _let_824 _let_819 _let_228 _let_818 _let_687 _let_763 _let_764 _let_986 _let_756 _let_582 _let_571 _let_228 _let_572 _let_821 _let_822 _let_823 _let_228 _let_249 _let_248 _let_245 _let_762 _let_761 _let_760 _let_229 _let_228 _let_219 :args ((or tptp.hskp18 _let_267 _let_201 _let_268 _let_178 _let_1082) true _let_338 false _let_351 false _let_336 true _let_339 true _let_353 true _let_350 true _let_349 false _let_50 false _let_340 false tptp.hskp17 false tptp.ndr1_0 false _let_334 true _let_345 false _let_509 false tptp.ndr1_0 true _let_343 true _let_333 true _let_637 true _let_1008 false _let_262 true _let_103 false _let_105 false _let_106 false _let_107 false tptp.hskp6 false tptp.ndr1_0 true _let_817 true _let_192 true _let_198 false _let_196 false _let_355 false _let_199 false _let_169 false _let_200 false tptp.ndr1_0 true tptp.hskp10 true _let_85 false _let_346 false _let_344 false tptp.ndr1_0 true tptp.hskp11 true _let_80 false _let_237 false _let_179 false _let_181 false _let_183 false _let_153 false tptp.ndr1_0 true _let_185)) _let_1212 _let_774 _let_1087 _let_768 _let_419 _let_228 _let_1121 _let_570 _let_418 _let_572 _let_1185 _let_857 _let_1117 _let_1003 _let_697 _let_940 _let_1210 _let_1211 _let_1122 _let_856 _let_696 _let_942 _let_1210 _let_1209 _let_1184 _let_1208 _let_1207 _let_1204 _let_275 _let_274 _let_233 _let_249 _let_248 _let_245 _let_229 _let_228 _let_270 :args ((or _let_192 _let_178 _let_269) false _let_268 true _let_267 true _let_266 false _let_263 false _let_38 false _let_260 false tptp.ndr1_0 false tptp.hskp19 true _let_201 true _let_259 true tptp.hskp10 true _let_154 true _let_143 true _let_85 false _let_202 true tptp.hskp18 true _let_258 true _let_210 true _let_253 true _let_257 false _let_203 true _let_45 false _let_211 true _let_210 true _let_212 true _let_256 true _let_254 false _let_208 true _let_209 false _let_252 false _let_213 false _let_188 true tptp.hskp11 true _let_80 false _let_237 false _let_153 false tptp.ndr1_0 true _let_251)) _let_250 _let_233 _let_249 _let_248 _let_245 _let_235 _let_229 _let_228 :args ((or _let_192 _let_178) true _let_190 true _let_131 true _let_133 false _let_135 false _let_136 false tptp.hskp1 true _let_209 true _let_208 true _let_203 true _let_202 false _let_154 false _let_215 false _let_244 false _let_163 false _let_157 false tptp.ndr1_0 true _let_156 true _let_238 false _let_188 true tptp.hskp11 true _let_80 false _let_237 false _let_191 false _let_153 false tptp.ndr1_0)) _let_235 _let_233 _let_229 _let_228 _let_219 :args (_let_178 true _let_190 false _let_215 true _let_131 true _let_133 false _let_135 false _let_157 false tptp.ndr1_0 false _let_136 true _let_156 false tptp.hskp1 true _let_209 true _let_213 true _let_209 true _let_208 true _let_203 true _let_202 false _let_154 false _let_201 false tptp.ndr1_0 true _let_200 true _let_169 true tptp.hskp10 true _let_199 true _let_85 false _let_198 false _let_195 false _let_192 false _let_191 false _let_188 false _let_153 false tptp.ndr1_0 true _let_185)))) (let ((_let_1223 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_1224 (not _let_1223))) (let ((_let_1225 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_1226 (not _let_1225))) (let ((_let_1227 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_1228 (not _let_1227))) (let ((_let_1229 (or _let_1228 _let_1226 _let_1224))) (let ((_let_1230 (MACRO_RESOLUTION_TRUST _let_438 (MACRO_RESOLUTION_TRUST _let_436 (MACRO_RESOLUTION_TRUST _let_433 _let_1222 :args (_let_384 false _let_178)) :args (_let_435 false _let_384)) :args (_let_5 true _let_4)))) (let ((_let_1231 (or _let_1227 _let_1226 _let_1224))) (let ((_let_1232 (or _let_1226 _let_1224 (not (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_1233 (forall ((X24 $$unsorted)) (or (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24)) (not (tptp.c3_1 X24)))))) (let ((_let_1234 (or _let_618 _let_614 _let_613))) (let ((_let_1235 (or _let_294 _let_86 _let_323))) (let ((_let_1236 (forall ((X5 $$unsorted)) (or (tptp.c3_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c1_1 X5)))))) (let ((_let_1237 (or _let_86 _let_323 _let_295))) (let ((_let_1238 (not _let_1229))) (let ((_let_1239 (not _let_1231))) (let ((_let_1240 (REFL :args (_let_1232)))) (let ((_let_1241 (not _let_1233))) (let ((_let_1242 (_let_1241))) (let ((_let_1243 (_let_1233))) (let ((_let_1244 (not _let_1234))) (let ((_let_1245 (_let_1236))) (let ((_let_1246 (MACRO_RESOLUTION_TRUST _let_600 _let_599 _let_598 _let_597 _let_595 _let_594 _let_226 _let_593 (MACRO_RESOLUTION_TRUST _let_432 _let_1222 :args (_let_380 false _let_178)) _let_586 _let_552 _let_582 _let_551 _let_581 _let_488 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1237)) :args ((or _let_86 _let_323 _let_295 (not _let_1237)))) (REORDERING (CNF_OR_POS :args (_let_1235)) :args ((or _let_86 _let_323 _let_294 (not _let_1235)))) _let_664 _let_662 _let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1245) :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X5) true))))) :args _let_1245)) _let_736 _let_228 (AND_ELIM _let_223 :args (32)) _let_228 _let_731 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_523 :args (tptp.a16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X10) true))))) :args _let_521)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1234)) :args ((or _let_618 _let_614 _let_613 _let_1244))) _let_723 _let_722 _let_721 :args ((or _let_720 _let_1244) false _let_10 false _let_11 false _let_12)) _let_527 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_1243) :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X24) false))))) :args _let_1243)) _let_546 _let_228 _let_1212 _let_737 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1242)) :args _let_1242)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1241) _let_1233))) (REFL :args ((not _let_1232))) :args _let_216)) _let_1201 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1231)) :args ((or _let_1226 _let_1224 _let_1227 _let_1239))) (REORDERING (CNF_OR_POS :args (_let_1229)) :args ((or _let_1226 _let_1224 _let_1228 _let_1238))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1232 1)) (CONG _let_1240 (MACRO_SR_PRED_INTRO :args ((= (not _let_1224) _let_1223))) :args _let_216)) :args ((or _let_1223 _let_1232))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1232 0)) (CONG _let_1240 (MACRO_SR_PRED_INTRO :args ((= (not _let_1226) _let_1225))) :args _let_216)) :args ((or _let_1225 _let_1232))) :args ((or _let_1232 _let_1239 _let_1238) true _let_1227 false _let_1223 false _let_1225)) _let_1218 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_785 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X1) false))))) :args _let_783)) _let_1213 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= Z X4)))) _let_787 _let_228 :args ((or _let_156 _let_304 _let_1238) false _let_294 true _let_86 false _let_90 false _let_91 false _let_1237 false tptp.hskp9 false tptp.ndr1_0 false _let_1236 false tptp.ndr1_0 true tptp.hskp24 false _let_1235 true _let_13 false _let_334 false _let_1234 false _let_509 false tptp.ndr1_0 true _let_267 true _let_335 false _let_1233 true _let_333 false _let_1232 true _let_1196 false _let_1231 false _let_244 true (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c3_1 X4))) false _let_157 false tptp.ndr1_0)) _let_1188 _let_1185 _let_1003 _let_856 _let_1219 _let_1204 _let_961 (MACRO_RESOLUTION_TRUST _let_967 _let_965 _let_964 _let_963 :args ((or _let_962 _let_966) true _let_131 true _let_133 false _let_135)) _let_468 _let_952 _let_452 _let_454 _let_228 _let_1230 _let_459 _let_462 _let_458 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_457 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_456)) :args _let_455)) _let_568 :args (_let_565 true _let_23 false _let_25 false _let_26 false _let_27 false tptp.hskp21 true tptp.hskp17 true _let_50 false _let_380 false _let_409 false _let_397 false _let_169 false _let_153 false _let_200 false _let_152 false _let_156 true _let_304 true _let_154 false _let_202 false _let_203 false _let_208 true _let_209 true tptp.hskp1 true _let_136 false _let_147 false _let_849 false _let_144 false _let_450 false tptp.ndr1_0 true tptp.hskp26 true tptp.hskp25 true _let_9 false _let_406 false _let_1229 false _let_195)))) (let ((_let_1247 (MACRO_RESOLUTION_TRUST _let_567 _let_1246 :args (_let_564 true _let_192)))) (let ((_let_1248 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_1249 (or _let_1248 _let_173 _let_171))) (let ((_let_1250 (or _let_174 _let_1248 _let_173))) (let ((_let_1251 (not _let_176))) (let ((_let_1252 (not _let_169))) (let ((_let_1253 (_let_1252))) (let ((_let_1254 (REFL :args (_let_1249)))) (let ((_let_1255 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1250)) :args ((or _let_1248 _let_173 _let_174 (not _let_1250)))) (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_173 _let_171 _let_175 _let_1251))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_799 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_798)) :args _let_797)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1249 2)) (CONG _let_1254 (MACRO_SR_PRED_INTRO :args ((= (not _let_171) _let_170))) :args _let_216)) :args ((or _let_170 _let_1249))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_1249 1)) (CONG _let_1254 (MACRO_SR_PRED_INTRO :args ((= (not _let_173) _let_172))) :args _let_216)) :args ((or _let_172 _let_1249))) (CNF_OR_NEG :args (_let_1249 0)) _let_804 _let_228 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_1253)) :args _let_1253)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_1252) _let_169))) (REFL :args ((not _let_1249))) :args _let_216)) _let_811 :args ((or _let_169 _let_177 _let_1251) true _let_174 false _let_1250 false _let_170 false _let_172 true _let_1248 false _let_314 false tptp.ndr1_0 true _let_1249 true _let_781)) (MACRO_RESOLUTION_TRUST _let_487 (MACRO_RESOLUTION_TRUST _let_494 (MACRO_RESOLUTION_TRUST _let_545 (MACRO_RESOLUTION_TRUST _let_563 _let_1222 _let_1247 :args (tptp.hskp20 false _let_178 true _let_402)) :args (_let_33 false tptp.hskp20)) :args (_let_489 false _let_33)) :args (_let_479 true _let_396)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_431 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_430)) :args _let_429)) _let_1222 :args (_let_176 false _let_178)) :args (_let_169 true _let_177 false _let_176)))) (let ((_let_1256 (MACRO_RESOLUTION_TRUST _let_1185 (MACRO_RESOLUTION_TRUST _let_1003 (MACRO_RESOLUTION_TRUST _let_856 (MACRO_RESOLUTION_TRUST _let_1206 _let_1204 (MACRO_RESOLUTION_TRUST _let_959 _let_1255 :args (_let_851 false _let_169)) :args (_let_208 true _let_209 false _let_851)) :args (_let_203 false _let_208)) :args (_let_202 false _let_203)) :args (_let_709 false _let_202)))) (let ((_let_1257 (MACRO_RESOLUTION_TRUST _let_1188 _let_1256 :args (_let_1186 true _let_154)))) (let ((_let_1258 (MACRO_RESOLUTION_TRUST _let_1192 _let_1257 :args (_let_302 true _let_304)))) (let ((_let_1259 (MACRO_RESOLUTION_TRUST _let_678 _let_1201 _let_767 _let_228 (MACRO_RESOLUTION_TRUST _let_250 _let_1246 :args ((not _let_238) true _let_192)) _let_1200 _let_1258 (MACRO_RESOLUTION_TRUST _let_1191 _let_1257 :args (_let_241 true _let_304)) _let_768 _let_1198 _let_1258 (MACRO_RESOLUTION_TRUST _let_1189 _let_1257 :args ((not _let_243) true _let_304)) _let_774 _let_1197 _let_778 :args (_let_909 true _let_333 false _let_625 false tptp.ndr1_0 true _let_238 true _let_1196 false _let_302 false _let_241 true tptp.hskp19 true _let_239 false _let_302 true _let_243 true _let_38 false _let_1195 false _let_266)))) (let ((_let_1260 (MACRO_RESOLUTION_TRUST _let_787 _let_228 (MACRO_RESOLUTION_TRUST _let_835 (MACRO_RESOLUTION_TRUST _let_917 (MACRO_RESOLUTION_TRUST _let_911 _let_1259 :args (_let_908 true _let_268)) (MACRO_RESOLUTION_TRUST _let_918 _let_1255 :args (_let_166 false _let_169)) :args (_let_168 true _let_167 false _let_166)) :args ((not _let_157) true _let_163)) :args (_let_156 false tptp.ndr1_0 true _let_157)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_414 (MACRO_RESOLUTION_TRUST _let_857 (MACRO_RESOLUTION_TRUST _let_940 _let_1211 _let_1210 (MACRO_RESOLUTION_TRUST _let_942 _let_1209 _let_1210 (MACRO_RESOLUTION_TRUST _let_274 _let_1260 :args (_let_213 false _let_156)) :args (_let_211 true _let_212 true _let_210 false _let_213)) :args (_let_939 true _let_253 true _let_210 false _let_211)) :args (_let_415 true _let_258)) (MACRO_RESOLUTION_TRUST _let_463 _let_1230 (MACRO_RESOLUTION_TRUST _let_468 (MACRO_RESOLUTION_TRUST _let_551 _let_1256 (MACRO_RESOLUTION_TRUST _let_245 (MACRO_RESOLUTION_TRUST _let_248 (MACRO_RESOLUTION_TRUST _let_249 (MACRO_RESOLUTION_TRUST _let_823 _let_228 _let_1259 (MACRO_RESOLUTION_TRUST _let_562 (MACRO_RESOLUTION_TRUST _let_561 _let_1247 (MACRO_RESOLUTION_TRUST _let_557 _let_1222 :args (_let_555 false _let_178)) :args (_let_558 true _let_402 false _let_555)) :args (_let_1149 true _let_556)) :args (tptp.hskp11 false tptp.ndr1_0 true _let_268 true _let_344)) :args (_let_80 false tptp.hskp11)) :args (_let_246 false _let_80)) :args (_let_501 true _let_237)) (MACRO_RESOLUTION_TRUST _let_488 _let_1260 :args (_let_152 false _let_156)) :args (_let_155 true _let_154 true _let_153 false _let_152)) :args (_let_148 true _let_147)) :args (_let_142 true tptp.hskp26 true _let_144)) :args (false true _let_143 false _let_142)) :args (_let_141 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.57/0.79  )
% 0.57/0.79  % SZS output end Proof for SYN436+1
% 0.57/0.79  % cvc5---1.0.5 exiting
% 0.57/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------