%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN500+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:42 EDT 2023

% Result   : Theorem 0.52s 0.74s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN500+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 17:36:20 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.52/0.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.j6YjxXdNAt/cvc5---1.0.5_23731.p...
% 0.52/0.74  ------- get file name : TPTP file name is SYN500+1
% 0.52/0.74  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23731.smt2...
% 0.52/0.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.52/0.74  % SZS status Theorem for SYN500+1
% 0.52/0.74  % SZS output start Proof for SYN500+1
% 0.52/0.74  (
% 0.52/0.74  (let ((_let_1 (tptp.c2_1 tptp.a23))) (let ((_let_2 (tptp.c1_1 tptp.a23))) (let ((_let_3 (tptp.c0_1 tptp.a23))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a13))) (let ((_let_6 (tptp.c2_1 tptp.a13))) (let ((_let_7 (tptp.c1_1 tptp.a13))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a4))) (let ((_let_10 (tptp.c1_1 tptp.a4))) (let ((_let_11 (tptp.c0_1 tptp.a4))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c3_1 tptp.a73))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c2_1 tptp.a73))) (let ((_let_16 (tptp.c0_1 tptp.a73))) (let ((_let_17 (and tptp.ndr1_0 _let_16 _let_15 _let_14))) (let ((_let_18 (tptp.c3_1 tptp.a63))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.c1_1 tptp.a63))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c2_1 tptp.a63))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_19))) (let ((_let_24 (tptp.c3_1 tptp.a48))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c0_1 tptp.a48))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c1_1 tptp.a48))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_25))) (let ((_let_30 (not tptp.hskp22))) (let ((_let_31 (tptp.c0_1 tptp.a47))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c3_1 tptp.a47))) (let ((_let_34 (tptp.c2_1 tptp.a47))) (let ((_let_35 (and tptp.ndr1_0 _let_34 _let_33 _let_32))) (let ((_let_36 (tptp.c3_1 tptp.a43))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.c1_1 tptp.a43))) (let ((_let_39 (tptp.c0_1 tptp.a43))) (let ((_let_40 (and tptp.ndr1_0 _let_39 _let_38 _let_37))) (let ((_let_41 (tptp.c3_1 tptp.a40))) (let ((_let_42 (not _let_41))) (let ((_let_43 (tptp.c0_1 tptp.a40))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c2_1 tptp.a40))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_42))) (let ((_let_47 (tptp.c1_1 tptp.a39))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c3_1 tptp.a39))) (let ((_let_50 (tptp.c0_1 tptp.a39))) (let ((_let_51 (and tptp.ndr1_0 _let_50 _let_49 _let_48))) (let ((_let_52 (not tptp.hskp18))) (let ((_let_53 (tptp.c1_1 tptp.a32))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c2_1 tptp.a32))) (let ((_let_56 (tptp.c0_1 tptp.a32))) (let ((_let_57 (and tptp.ndr1_0 _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.c1_1 tptp.a28))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.c3_1 tptp.a28))) (let ((_let_61 (tptp.c2_1 tptp.a28))) (let ((_let_62 (and tptp.ndr1_0 _let_61 _let_60 _let_59))) (let ((_let_63 (not tptp.hskp15))) (let ((_let_64 (tptp.c2_1 tptp.a25))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.c1_1 tptp.a25))) (let ((_let_67 (tptp.c0_1 tptp.a25))) (let ((_let_68 (and tptp.ndr1_0 _let_67 _let_66 _let_65))) (let ((_let_69 (tptp.c1_1 tptp.a22))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.c0_1 tptp.a22))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c3_1 tptp.a22))) (let ((_let_74 (and tptp.ndr1_0 _let_73 _let_72 _let_70))) (let ((_let_75 (tptp.c3_1 tptp.a20))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c2_1 tptp.a20))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c0_1 tptp.a20))) (let ((_let_80 (not _let_79))) (let ((_let_81 (and tptp.ndr1_0 _let_80 _let_78 _let_76))) (let ((_let_82 (tptp.c0_1 tptp.a19))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.c2_1 tptp.a19))) (let ((_let_85 (tptp.c1_1 tptp.a19))) (let ((_let_86 (and tptp.ndr1_0 _let_85 _let_84 _let_83))) (let ((_let_87 (not tptp.hskp11))) (let ((_let_88 (tptp.c3_1 tptp.a18))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c2_1 tptp.a18))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c1_1 tptp.a18))) (let ((_let_93 (not _let_92))) (let ((_let_94 (and tptp.ndr1_0 _let_93 _let_91 _let_89))) (let ((_let_95 (tptp.c2_1 tptp.a15))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c1_1 tptp.a15))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c0_1 tptp.a15))) (let ((_let_100 (not _let_99))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_98 _let_96))) (let ((_let_102 (tptp.c3_1 tptp.a8))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c2_1 tptp.a8))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c1_1 tptp.a8))) (let ((_let_107 (and tptp.ndr1_0 _let_106 _let_105 _let_103))) (let ((_let_108 (not tptp.hskp5))) (let ((_let_109 (tptp.c3_1 tptp.a7))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c1_1 tptp.a7))) (let ((_let_112 (not _let_111))) (let ((_let_113 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a7)) _let_112 _let_110))) (let ((_let_114 (tptp.c1_1 tptp.a5))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c0_1 tptp.a5))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.c2_1 tptp.a5))) (let ((_let_119 (and tptp.ndr1_0 _let_118 _let_117 _let_115))) (let ((_let_120 (tptp.c2_1 tptp.a3))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c1_1 tptp.a3))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.c3_1 tptp.a3))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_123 _let_121))) (let ((_let_126 (tptp.c1_1 tptp.a2))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.c0_1 tptp.a2))) (let ((_let_129 (and tptp.ndr1_0 _let_128 _let_127 (not (tptp.c2_1 tptp.a2))))) (let ((_let_130 (tptp.c2_1 tptp.a1))) (let ((_let_131 (not _let_130))) (let ((_let_132 (tptp.c3_1 tptp.a1))) (let ((_let_133 (tptp.c1_1 tptp.a1))) (let ((_let_134 (and tptp.ndr1_0 _let_133 _let_132 _let_131))) (let ((_let_135 (not (not (and (or (not tptp.hskp0) _let_134) (or (not tptp.hskp1) _let_129) (or (not tptp.hskp2) _let_125) (or (not tptp.hskp3) _let_119) (or (not tptp.hskp4) _let_113) (or _let_108 _let_107) (or (not tptp.hskp6) (and tptp.ndr1_0 (tptp.c0_1 tptp.a10) (tptp.c3_1 tptp.a10) (not (tptp.c2_1 tptp.a10)))) (or (not tptp.hskp7) (and tptp.ndr1_0 (tptp.c1_1 tptp.a11) (not (tptp.c0_1 tptp.a11)) (not (tptp.c2_1 tptp.a11)))) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c3_1 tptp.a14) (not (tptp.c0_1 tptp.a14)) (not (tptp.c2_1 tptp.a14)))) (or (not tptp.hskp9) _let_101) (or (not tptp.hskp10) _let_94) (or _let_87 _let_86) (or (not tptp.hskp12) _let_81) (or (not tptp.hskp13) _let_74) (or (not tptp.hskp14) _let_68) (or _let_63 _let_62) (or (not tptp.hskp16) _let_57) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c0_1 tptp.a33) (not (tptp.c1_1 tptp.a33)) (not (tptp.c3_1 tptp.a33)))) (or _let_52 _let_51) (or (not tptp.hskp19) _let_46) (or (not tptp.hskp20) _let_40) (or (not tptp.hskp21) _let_35) (or _let_30 _let_29) (or (not tptp.hskp23) _let_23) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c1_1 tptp.a64) (tptp.c3_1 tptp.a64) (not (tptp.c0_1 tptp.a64)))) (or (not tptp.hskp25) _let_17) (or (not tptp.hskp26) _let_12) (or (not tptp.hskp27) _let_8) (or (not tptp.hskp28) _let_4) (or (not tptp.hskp29) (and tptp.ndr1_0 (tptp.c0_1 tptp.a77) (tptp.c2_1 tptp.a77) (tptp.c3_1 tptp.a77))) (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) (not (tptp.c1_1 V)) (not (tptp.c3_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 W) (not (tptp.c0_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (tptp.c2_1 Y) (tptp.c3_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Z) (tptp.c3_1 Z) (not (tptp.c1_1 Z)))))) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X2) (not (tptp.c0_1 X2)) (not (tptp.c3_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X3) (not (tptp.c1_1 X3)) (not (tptp.c3_1 X3)))))) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c2_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X5) (not (tptp.c2_1 X5)) (not (tptp.c3_1 X5))))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X6)) (not (tptp.c2_1 X6)) (not (tptp.c3_1 X6)))))) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (tptp.c2_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X8) (tptp.c3_1 X8) (not (tptp.c1_1 X8))))) tptp.hskp0) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (tptp.c3_1 X9)))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c2_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X11) (tptp.c3_1 X11) (not (tptp.c0_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13))))) tptp.hskp1) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c1_1 X14) (tptp.c3_1 X14)))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X15) (not (tptp.c1_1 X15)) (not (tptp.c3_1 X15))))) tptp.hskp2) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (tptp.c3_1 X16)))) tptp.hskp26 tptp.hskp3) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (not (tptp.c1_1 X18)) (not (tptp.c3_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c3_1 X19)))))) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c2_1 X20))))) tptp.hskp0 tptp.hskp4) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c2_1 X22) (not (tptp.c1_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X23) (not (tptp.c2_1 X23)) (not (tptp.c3_1 X23)))))) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c1_1 X24) (not (tptp.c3_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (not (tptp.c1_1 X25)) (not (tptp.c2_1 X25))))) tptp.hskp5) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c1_1 X26) (not (tptp.c3_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c2_1 X27)) (not (tptp.c3_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X28) (tptp.c3_1 X28) (not (tptp.c2_1 X28)))))) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c1_1 X29) (not (tptp.c3_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (not (tptp.c2_1 X30)) (not (tptp.c3_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31)))))) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c1_1 X32) (not (tptp.c3_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X33) (tptp.c3_1 X33) (not (tptp.c2_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X34) (tptp.c3_1 X34) (not (tptp.c0_1 X34)))))) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c1_1 X35) (not (tptp.c3_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X36) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36))))) tptp.hskp2) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c1_1 X37) (not (tptp.c3_1 X37))))) tptp.hskp6 tptp.hskp7) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (tptp.c3_1 X38)))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c3_1 X39) (not (tptp.c2_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c2_1 X40)))))) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c2_1 X41) (tptp.c3_1 X41)))) tptp.hskp1 tptp.hskp27) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (tptp.c3_1 X42)))) tptp.hskp8 tptp.hskp9) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c1_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (tptp.c3_1 X44) (not (tptp.c1_1 X44))))) tptp.hskp4) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c2_1 X45) (not (tptp.c1_1 X45))))) tptp.hskp1 tptp.hskp10) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c2_1 X46) (not (tptp.c1_1 X46))))) tptp.hskp11 tptp.hskp12) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (tptp.c2_1 X47) (not (tptp.c1_1 X47))))) tptp.hskp0 tptp.hskp13) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c2_1 X49)) (not (tptp.c3_1 X49))))) tptp.hskp28) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (tptp.c2_1 X50) (not (tptp.c3_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X51) (not (tptp.c0_1 X51)) (not (tptp.c1_1 X51))))) tptp.hskp3) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (tptp.c3_1 X52) (not (tptp.c1_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (tptp.c3_1 X53) (not (tptp.c0_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X54) (tptp.c3_1 X54) (not (tptp.c1_1 X54)))))) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (tptp.c3_1 X55) (not (tptp.c1_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c2_1 X56))))) tptp.hskp14) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (tptp.c3_1 X57) (not (tptp.c1_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X58)) (not (tptp.c1_1 X58)) (not (tptp.c3_1 X58))))) tptp.hskp13) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (tptp.c3_1 X59) (not (tptp.c1_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60)) (not (tptp.c3_1 X60))))) tptp.hskp28) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X61) (tptp.c3_1 X61) (not (tptp.c2_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X62) (tptp.c3_1 X62) (not (tptp.c0_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63)))))) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X64) (tptp.c3_1 X64) (not (tptp.c2_1 X64))))) tptp.hskp15 tptp.hskp13) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c3_1 X66) (not (tptp.c0_1 X66))))) tptp.hskp3) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X67) (not (tptp.c1_1 X67)) (not (tptp.c2_1 X67))))) tptp.hskp26 tptp.hskp16) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X68) (not (tptp.c1_1 X68)) (not (tptp.c2_1 X68))))) tptp.hskp17 tptp.hskp5) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X69) (not (tptp.c1_1 X69)) (not (tptp.c2_1 X69))))) tptp.hskp13 tptp.hskp10) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X70) (not (tptp.c1_1 X70)) (not (tptp.c3_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71))))) tptp.hskp12) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X72) (not (tptp.c1_1 X72)) (not (tptp.c3_1 X72))))) (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (not (tptp.c2_1 X73)) (not (tptp.c3_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X74) (not (tptp.c1_1 X74)) (not (tptp.c2_1 X74)))))) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X75) (not (tptp.c1_1 X75)) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (tptp.c3_1 X76) (not (tptp.c0_1 X76))))) tptp.hskp15) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X77) (not (tptp.c1_1 X77)) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X78) (not (tptp.c0_1 X78)) (not (tptp.c1_1 X78))))) tptp.hskp18) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X79) (not (tptp.c2_1 X79)) (not (tptp.c3_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp19) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X81) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp3 tptp.hskp2) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c2_1 X82) (tptp.c3_1 X82)))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83))))) tptp.hskp20) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (tptp.c2_1 X84) (tptp.c3_1 X84)))) tptp.hskp11 tptp.hskp12) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (tptp.c2_1 X85) (not (tptp.c0_1 X85))))) (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (not (tptp.c0_1 X86)) (not (tptp.c2_1 X86))))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X87) (not (tptp.c0_1 X87)) (not (tptp.c3_1 X87)))))) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (tptp.c2_1 X88) (not (tptp.c0_1 X88))))) (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (not (tptp.c0_1 X89)) (not (tptp.c2_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X90)) (not (tptp.c2_1 X90)) (not (tptp.c3_1 X90)))))) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (tptp.c2_1 X91) (not (tptp.c0_1 X91))))) (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (not (tptp.c2_1 X92)) (not (tptp.c3_1 X92))))) tptp.hskp8) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (tptp.c2_1 X93) (not (tptp.c3_1 X93))))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X94) (not (tptp.c2_1 X94)) (not (tptp.c3_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95)))))) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X96) (tptp.c2_1 X96) (not (tptp.c3_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X97)) (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97))))) tptp.hskp21) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X98) (tptp.c3_1 X98) (not (tptp.c0_1 X98))))) (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X99) (not (tptp.c2_1 X99)) (not (tptp.c3_1 X99))))) tptp.hskp22) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X100) (tptp.c3_1 X100) (not (tptp.c0_1 X100))))) tptp.hskp1 tptp.hskp17) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X101) (tptp.c3_1 X101) (not (tptp.c0_1 X101))))) tptp.hskp11 tptp.hskp9) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X102) (tptp.c3_1 X102) (not (tptp.c2_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c3_1 X103))))) (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c1_1 X104)))))) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X105) (tptp.c3_1 X105) (not (tptp.c2_1 X105))))) (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X106) (tptp.c3_1 X106) (not (tptp.c0_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X107)) (not (tptp.c1_1 X107)) (not (tptp.c2_1 X107)))))) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X108) (tptp.c3_1 X108) (not (tptp.c2_1 X108))))) (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X109) (tptp.c3_1 X109) (not (tptp.c1_1 X109))))) tptp.hskp1) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X110) (tptp.c3_1 X110) (not (tptp.c2_1 X110))))) (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c3_1 X111))))) (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X112)) (not (tptp.c1_1 X112)) (not (tptp.c3_1 X112)))))) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c2_1 X113))))) (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X114) (not (tptp.c2_1 X114)) (not (tptp.c3_1 X114))))) (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X115) (not (tptp.c0_1 X115)) (not (tptp.c1_1 X115)))))) (or (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X116) (not (tptp.c0_1 X116)) (not (tptp.c2_1 X116))))) (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X117) (not (tptp.c2_1 X117)) (not (tptp.c3_1 X117))))) (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118)))))) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X119) (not (tptp.c0_1 X119)) (not (tptp.c2_1 X119))))) (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X120) (not (tptp.c0_1 X120)) (not (tptp.c1_1 X120))))) tptp.hskp12) (or (forall ((X121 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X121) (not (tptp.c0_1 X121)) (not (tptp.c2_1 X121))))) tptp.hskp18 tptp.hskp19) (or (forall ((X122 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X122) (not (tptp.c0_1 X122)) (not (tptp.c2_1 X122))))) tptp.hskp11 tptp.hskp21) (or (forall ((X123 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X123) (not (tptp.c2_1 X123)) (not (tptp.c3_1 X123))))) (forall ((X124 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X124) (not (tptp.c0_1 X124)) (not (tptp.c2_1 X124))))) tptp.hskp8) (or (forall ((X125 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X125) (tptp.c3_1 X125) (not (tptp.c0_1 X125))))) (forall ((X126 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X126) (not (tptp.c1_1 X126)) (not (tptp.c2_1 X126))))) tptp.hskp20) (or (forall ((X127 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X127) (tptp.c3_1 X127) (not (tptp.c0_1 X127))))) (forall ((X128 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X128)) (not (tptp.c1_1 X128)) (not (tptp.c3_1 X128))))) tptp.hskp13) (or (forall ((X129 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X129) (tptp.c3_1 X129) (not (tptp.c0_1 X129))))) tptp.hskp26 tptp.hskp23) (or (forall ((X130 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X130) (tptp.c3_1 X130) (not (tptp.c0_1 X130))))) tptp.hskp24 tptp.hskp22) (or (forall ((X131 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X131) (tptp.c3_1 X131) (not (tptp.c1_1 X131))))) tptp.hskp19) (or (forall ((X132 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X132) (not (tptp.c0_1 X132)) (not (tptp.c1_1 X132))))) tptp.hskp20 tptp.hskp6) (or (forall ((X133 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X133) (not (tptp.c0_1 X133)) (not (tptp.c2_1 X133))))) tptp.hskp28 tptp.hskp18) (or (forall ((X134 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X134) (not (tptp.c1_1 X134)) (not (tptp.c2_1 X134))))) tptp.hskp6 tptp.hskp2) (or (forall ((X135 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X135)) (not (tptp.c1_1 X135)) (not (tptp.c3_1 X135))))) tptp.hskp25) (or tptp.hskp14 tptp.hskp20 tptp.hskp12) (or tptp.hskp29 tptp.hskp24 tptp.hskp19) (or tptp.hskp25 tptp.hskp22 tptp.hskp9) (or tptp.hskp1 tptp.hskp27 tptp.hskp4) (or tptp.hskp17 tptp.hskp22 tptp.hskp19) (or tptp.hskp27 tptp.hskp9) (or tptp.hskp11 tptp.hskp0 tptp.hskp22) (or tptp.hskp11 tptp.hskp21 tptp.hskp12)))))) (let ((_let_136 (not _let_73))) (let ((_let_137 (or _let_71 _let_69 _let_136))) (let ((_let_138 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21)))))) (let ((_let_139 (not _let_137))) (let ((_let_140 (forall ((X64 $$unsorted)) (or (tptp.c0_1 X64) (tptp.c3_1 X64) (not (tptp.c2_1 X64)))))) (let ((_let_141 (forall ((X61 $$unsorted)) (or (tptp.c0_1 X61) (tptp.c3_1 X61) (not (tptp.c2_1 X61)))))) (let ((_let_142 (not _let_45))) (let ((_let_143 (or _let_43 _let_41 _let_142))) (let ((_let_144 (not _let_143))) (let ((_let_145 (forall ((X121 $$unsorted)) (or (tptp.c1_1 X121) (not (tptp.c0_1 X121)) (not (tptp.c2_1 X121)))))) (let ((_let_146 (forall ((X83 $$unsorted)) (or (tptp.c1_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83)))))) (let ((_let_147 (not _let_15))) (let ((_let_148 (not _let_16))) (let ((_let_149 (tptp.c1_1 tptp.a73))) (let ((_let_150 (or _let_149 _let_148 _let_147))) (let ((_let_151 (not _let_146))) (let ((_let_152 (not _let_150))) (let ((_let_153 (not _let_149))) (let ((_let_154 (or _let_13 _let_148 _let_153))) (let ((_let_155 (forall ((X78 $$unsorted)) (or (tptp.c3_1 X78) (not (tptp.c0_1 X78)) (not (tptp.c1_1 X78)))))) (let ((_let_156 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (not (tptp.c1_1 V)) (not (tptp.c3_1 V)))))) (let ((_let_157 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_158 (tptp.c3_1 tptp.a19))) (let ((_let_159 (not _let_158))) (let ((_let_160 (not _let_85))) (let ((_let_161 (or _let_82 _let_160 _let_159))) (let ((_let_162 (or _let_82 _let_158 _let_160))) (let ((_let_163 (not _let_132))) (let ((_let_164 (not _let_133))) (let ((_let_165 (tptp.c0_1 tptp.a1))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_166 _let_164 _let_163))) (let ((_let_168 (not _let_156))) (let ((_let_169 (_let_156))) (let ((_let_170 ((not (= (tptp.c0_1 V) true))))) (let ((_let_171 (ASSUME :args _let_169))) (let ((_let_172 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.a19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)))) (let ((_let_173 (not _let_28))) (let ((_let_174 (or _let_26 _let_24 _let_173))) (let ((_let_175 (not _let_29))) (let ((_let_176 (forall ((X44 $$unsorted)) (or (tptp.c0_1 X44) (tptp.c3_1 X44) (not (tptp.c1_1 X44)))))) (let ((_let_177 (forall ((X58 $$unsorted)) (or (not (tptp.c0_1 X58)) (not (tptp.c1_1 X58)) (not (tptp.c3_1 X58)))))) (let ((_let_178 (not _let_9))) (let ((_let_179 (not _let_10))) (let ((_let_180 (not _let_11))) (let ((_let_181 (or _let_180 _let_179 _let_178))) (let ((_let_182 (tptp.c3_1 tptp.a25))) (let ((_let_183 (not _let_182))) (let ((_let_184 (not _let_66))) (let ((_let_185 (not _let_67))) (let ((_let_186 (or _let_185 _let_184 _let_183))) (let ((_let_187 (not _let_5))) (let ((_let_188 (not _let_7))) (let ((_let_189 (tptp.c0_1 tptp.a13))) (let ((_let_190 (not _let_189))) (let ((_let_191 (or _let_190 _let_188 _let_187))) (let ((_let_192 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_193 (not _let_192))) (let ((_let_194 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_195 (not _let_194))) (let ((_let_196 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_197 (not _let_196))) (let ((_let_198 (or _let_197 _let_195 _let_193))) (let ((_let_199 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_200 (not _let_199))) (let ((_let_201 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_202 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_203 (or _let_202 _let_201 _let_200))) (let ((_let_204 (or _let_99 _let_97 _let_95))) (let ((_let_205 (not _let_6))) (let ((_let_206 (or _let_188 _let_205 _let_187))) (let ((_let_207 (or _let_13 _let_148 _let_147))) (let ((_let_208 (forall ((X6 $$unsorted)) (or (not (tptp.c1_1 X6)) (not (tptp.c2_1 X6)) (not (tptp.c3_1 X6)))))) (let ((_let_209 (forall ((X56 $$unsorted)) (or (tptp.c3_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c2_1 X56)))))) (let ((_let_210 (or _let_189 _let_188 _let_205))) (let ((_let_211 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_212 (not _let_211))) (let ((_let_213 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_214 (not _let_213))) (let ((_let_215 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_216 (not _let_215))) (let ((_let_217 (or _let_216 _let_214 _let_212))) (let ((_let_218 (forall ((X133 $$unsorted)) (or (tptp.c3_1 X133) (not (tptp.c0_1 X133)) (not (tptp.c2_1 X133)))))) (let ((_let_219 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13)))))) (let ((_let_220 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_221 (not _let_220))) (let ((_let_222 (or _let_197 _let_195 _let_221))) (let ((_let_223 (forall ((X63 $$unsorted)) (or (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63)))))) (let ((_let_224 (or _let_148 _let_153 _let_147))) (let ((_let_225 (not _let_1))) (let ((_let_226 (not _let_2))) (let ((_let_227 (not _let_3))) (let ((_let_228 (or _let_227 _let_226 _let_225))) (let ((_let_229 (or _let_149 _let_13 _let_148))) (let ((_let_230 (forall ((X53 $$unsorted)) (or (tptp.c1_1 X53) (tptp.c3_1 X53) (not (tptp.c0_1 X53)))))) (let ((_let_231 (forall ((X98 $$unsorted)) (or (tptp.c1_1 X98) (tptp.c3_1 X98) (not (tptp.c0_1 X98)))))) (let ((_let_232 (forall ((X99 $$unsorted)) (or (tptp.c1_1 X99) (not (tptp.c2_1 X99)) (not (tptp.c3_1 X99)))))) (let ((_let_233 (forall ((X5 $$unsorted)) (or (tptp.c1_1 X5) (not (tptp.c2_1 X5)) (not (tptp.c3_1 X5)))))) (let ((_let_234 (not _let_49))) (let ((_let_235 (tptp.c2_1 tptp.a39))) (let ((_let_236 (not _let_235))) (let ((_let_237 (or _let_47 _let_236 _let_234))) (let ((_let_238 (not _let_118))) (let ((_let_239 (or _let_116 _let_114 _let_238))) (let ((_let_240 (not _let_50))) (let ((_let_241 (or _let_235 _let_240 _let_234))) (let ((_let_242 (forall ((X10 $$unsorted)) (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c2_1 X10)))))) (let ((_let_243 (forall ((X19 $$unsorted)) (or (tptp.c2_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c3_1 X19)))))) (let ((_let_244 (not _let_177))) (let ((_let_245 (_let_177))) (let ((_let_246 ((not (= (tptp.c0_1 X58) false))))) (let ((_let_247 (ASSUME :args _let_245))) (let ((_let_248 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)))) (let ((_let_249 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (tptp.a4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)))) (let ((_let_250 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)))) (let ((_let_251 (not _let_181))) (let ((_let_252 (not _let_12))) (let ((_let_253 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_180 _let_179 _let_178 _let_251))) (REORDERING (CNF_AND_POS :args (_let_12 3)) :args ((or _let_9 _let_252))) (REORDERING (CNF_AND_POS :args (_let_12 2)) :args ((or _let_10 _let_252))) (REORDERING (CNF_AND_POS :args (_let_12 1)) :args ((or _let_11 _let_252))) :args ((or _let_252 _let_251) false _let_9 false _let_10 false _let_11)))) (let ((_let_254 (or _let_64 _let_182 _let_184))) (let ((_let_255 (not _let_186))) (let ((_let_256 (not _let_68))) (let ((_let_257 (REORDERING (CNF_AND_POS :args (_let_68 1)) :args ((or _let_67 _let_256))))) (let ((_let_258 (REORDERING (CNF_AND_POS :args (_let_68 2)) :args ((or _let_66 _let_256))))) (let ((_let_259 (REORDERING (CNF_AND_POS :args (_let_68 3)) :args ((or _let_65 _let_256))))) (let ((_let_260 (forall ((Z $$unsorted)) (or (tptp.c2_1 Z) (tptp.c3_1 Z) (not (tptp.c1_1 Z)))))) (let ((_let_261 (forall ((X8 $$unsorted)) (or (tptp.c2_1 X8) (tptp.c3_1 X8) (not (tptp.c1_1 X8)))))) (let ((_let_262 (forall ((X54 $$unsorted)) (or (tptp.c2_1 X54) (tptp.c3_1 X54) (not (tptp.c1_1 X54)))))) (let ((_let_263 (forall ((X131 $$unsorted)) (or (tptp.c2_1 X131) (tptp.c3_1 X131) (not (tptp.c1_1 X131)))))) (let ((_let_264 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_265 (not _let_264))) (let ((_let_266 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_267 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_268 (or _let_267 _let_266 _let_265))) (let ((_let_269 (forall ((X52 $$unsorted)) (or (tptp.c0_1 X52) (tptp.c3_1 X52) (not (tptp.c1_1 X52)))))) (let ((_let_270 (forall ((X59 $$unsorted)) (or (tptp.c0_1 X59) (tptp.c3_1 X59) (not (tptp.c1_1 X59)))))) (let ((_let_271 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_272 (not _let_271))) (let ((_let_273 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_274 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_275 (or _let_274 _let_273 _let_272))) (let ((_let_276 (forall ((X60 $$unsorted)) (or (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60)) (not (tptp.c3_1 X60)))))) (let ((_let_277 (forall ((X62 $$unsorted)) (or (tptp.c2_1 X62) (tptp.c3_1 X62) (not (tptp.c0_1 X62)))))) (let ((_let_278 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_279 (not _let_278))) (let ((_let_280 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_281 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_282 (or _let_281 _let_280 _let_279))) (let ((_let_283 (forall ((X11 $$unsorted)) (or (tptp.c2_1 X11) (tptp.c3_1 X11) (not (tptp.c0_1 X11)))))) (let ((_let_284 (not _let_260))) (let ((_let_285 (ALPHA_EQUIV :args (_let_260 (= Z X8))))) (let ((_let_286 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= Z X54)))))) (let ((_let_287 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_260 (= Z X131)))))) (let ((_let_288 (or))) (let ((_let_289 (_let_284))) (let ((_let_290 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_289)) :args _let_289)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_284) _let_260))) (REFL :args ((not _let_268))) :args _let_288)))) (let ((_let_291 (not _let_129))) (let ((_let_292 (not _let_113))) (let ((_let_293 (not _let_8))) (let ((_let_294 (EQ_RESOLVE (ASSUME :args (_let_135)) (MACRO_SR_EQ_INTRO :args (_let_135 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_295 (AND_ELIM _let_294 :args (1)))) (let ((_let_296 (AND_ELIM _let_294 :args (4)))) (let ((_let_297 (AND_ELIM _let_294 :args (27)))) (let ((_let_298 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_294 :args (105)) :args ((or tptp.hskp1 tptp.hskp4 tptp.hskp27))) _let_297 _let_296 _let_295 (REORDERING (CNF_AND_POS :args (_let_8 0)) :args ((or tptp.ndr1_0 _let_293))) (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or tptp.ndr1_0 _let_292))) (REORDERING (CNF_AND_POS :args (_let_129 0)) :args ((or tptp.ndr1_0 _let_291))) :args (tptp.ndr1_0 true tptp.hskp27 true tptp.hskp4 true tptp.hskp1 true _let_8 true _let_113 true _let_129)))) (let ((_let_299 (AND_ELIM _let_294 :args (97)))) (let ((_let_300 (CNF_OR_NEG :args (_let_268 0)))) (let ((_let_301 (CNF_OR_NEG :args (_let_268 1)))) (let ((_let_302 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_268 2)) (CONG (REFL :args (_let_268)) (MACRO_SR_PRED_INTRO :args ((= (not _let_265) _let_264))) :args _let_288)) :args ((or _let_264 _let_268))))) (let ((_let_303 (AND_ELIM _let_294 :args (19)))) (let ((_let_304 (not _let_46))) (let ((_let_305 (REORDERING (CNF_AND_POS :args (_let_46 1)) :args ((or _let_45 _let_304))))) (let ((_let_306 (REORDERING (CNF_AND_POS :args (_let_46 2)) :args ((or _let_44 _let_304))))) (let ((_let_307 (REORDERING (CNF_AND_POS :args (_let_46 3)) :args ((or _let_42 _let_304))))) (let ((_let_308 (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_43 _let_41 _let_142 _let_144))))) (let ((_let_309 (_let_141))) (let ((_let_310 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_309) :args (tptp.a40 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X61) true))))) :args _let_309)))) (let ((_let_311 (tptp.c1_1 tptp.a40))) (let ((_let_312 (not _let_311))) (let ((_let_313 (or _let_43 _let_41 _let_312))) (let ((_let_314 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_315 (or _let_314 _let_266 _let_265))) (let ((_let_316 (or _let_43 _let_311 _let_41))) (let ((_let_317 (or _let_43 _let_311 _let_142))) (let ((_let_318 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (tptp.c3_1 X9))))) (let ((_let_319 (not _let_314))) (let ((_let_320 (or _let_267 _let_266 _let_319))) (let ((_let_321 (not _let_176))) (let ((_let_322 (_let_176))) (let ((_let_323 ((not (= (tptp.c0_1 X44) true))))) (let ((_let_324 (ASSUME :args _let_322))) (let 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(CNF_OR_POS :args (_let_388)) :args ((or _let_64 _let_185 _let_184 (not _let_388)))))) (let ((_let_408 (_let_138))) (let ((_let_409 ((not (= (tptp.c0_1 X21) true))))) (let ((_let_410 (ASSUME :args _let_408))) (let ((_let_411 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args (tptp.a22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_409)) :args _let_408)))) (let ((_let_412 (_let_389))) (let ((_let_413 ((not (= (tptp.c2_1 X31) true))))) (let ((_let_414 (ASSUME :args _let_412))) (let ((_let_415 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_413)) :args _let_412)))) (let ((_let_416 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_138 (= X21 X29)))))) (let ((_let_417 (not _let_138))) (let ((_let_418 (_let_417))) (let ((_let_419 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_418)) :args _let_418)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_417) _let_138))) (REFL :args ((not _let_393))) :args _let_288)))) (let ((_let_420 (AND_ELIM _let_294 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((X109 $$unsorted)) (or (tptp.c2_1 X109) (tptp.c3_1 X109) (not (tptp.c1_1 X109)))))))) (let ((_let_497 (MACRO_RESOLUTION_TRUST _let_496 _let_447 _let_446 _let_296 _let_445 _let_344 _let_436 _let_432 _let_431 _let_385 _let_298 _let_384 _let_380 _let_376 _let_374 _let_369 _let_368 _let_367 _let_365 _let_364 _let_298 _let_363 _let_362 _let_310 _let_308 _let_361 _let_348 _let_286 _let_346 _let_345 _let_307 _let_302 _let_305 _let_306 _let_303 _let_299 _let_298 _let_287 _let_300 _let_301 _let_290 :args ((or _let_260 _let_177) true _let_109 true _let_111 false _let_113 false tptp.hskp4 false _let_320 true _let_157 false _let_283 true _let_360 false _let_277 false tptp.ndr1_0 true _let_209 true _let_223 true _let_207 true _let_224 true _let_13 false _let_15 false _let_16 false _let_17 false tptp.hskp25 false tptp.ndr1_0 true _let_356 false _let_229 true _let_141 true _let_143 false _let_355 false _let_230 true _let_262 true _let_269 true _let_176 true _let_41 false _let_264 false _let_45 true 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(EQ_RESOLVE (CNF_OR_NEG :args (_let_217 0)) (CONG _let_679 (MACRO_SR_PRED_INTRO :args ((= (not _let_216) _let_215))) :args _let_288)) :args ((or _let_215 _let_217))))) (let ((_let_681 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_217 1)) (CONG _let_679 (MACRO_SR_PRED_INTRO :args ((= (not _let_214) _let_213))) :args _let_288)) :args ((or _let_213 _let_217))))) (let ((_let_682 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_217 2)) (CONG _let_679 (MACRO_SR_PRED_INTRO :args ((= (not _let_212) _let_211))) :args _let_288)) :args ((or _let_211 _let_217))))) (let ((_let_683 (REORDERING (CNF_OR_POS :args (_let_630)) :args ((or _let_216 _let_212 _let_629 _let_665))))) (let ((_let_684 (REORDERING (CNF_OR_POS :args (_let_652)) :args ((or _let_216 _let_212 _let_628 (not _let_652)))))) (let ((_let_685 (REORDERING (CNF_OR_POS :args (_let_653)) :args ((or _let_216 _let_214 _let_628 (not _let_653)))))) (let ((_let_686 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_169)))) (let ((_let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_556 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_555)) :args _let_554)))) (let ((_let_688 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= V X72)))))) (let ((_let_689 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X13 X67)))))) (let ((_let_690 (AND_ELIM _let_294 :args (68)))) (let ((_let_691 (not tptp.ndr1_0))) (let ((_let_692 (REORDERING (AND_ELIM _let_294 :args (64)) :args ((or tptp.hskp16 tptp.hskp26 _let_691 _let_655))))) (let ((_let_693 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_233 (= X5 X73)))))) (let ((_let_694 (AND_ELIM _let_294 :args (16)))) (let ((_let_695 (_let_233))) (let ((_let_696 ((not (= (tptp.c1_1 X5) true))))) (let ((_let_697 (ASSUME :args _let_695))) (let ((_let_698 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_697 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_696)) :args _let_695)))) (let ((_let_699 (not _let_663))) (let ((_let_700 (not _let_57))) (let ((_let_701 (REORDERING (CNF_AND_POS :args (_let_57 2)) :args ((or _let_55 _let_700))))) (let ((_let_702 (REORDERING (CNF_AND_POS :args (_let_57 3)) :args ((or _let_54 _let_700))))) (let ((_let_703 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_53 _let_662 _let_661 _let_699))) _let_702 _let_701 (REORDERING (CNF_AND_POS :args (_let_57 1)) :args ((or _let_56 _let_700))) :args ((or _let_700 _let_699) true _let_53 false _let_55 false _let_56)))) (let ((_let_704 (_let_146))) (let ((_let_705 ((not (= (tptp.c1_1 X83) true))))) (let ((_let_706 (ASSUME :args _let_704))) (let ((_let_707 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_706 :args (tptp.a32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_705)) :args _let_704)))) (let ((_let_708 (_let_151))) (let ((_let_709 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_708)) :args _let_708)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_146))) (REFL :args ((not _let_664))) :args _let_288)))) (let ((_let_710 (CNF_OR_NEG :args (_let_664 0)))) (let ((_let_711 (REFL :args (_let_664)))) (let ((_let_712 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_664 1)) (CONG _let_711 (MACRO_SR_PRED_INTRO :args ((= (not _let_272) _let_271))) :args _let_288)) :args ((or _let_271 _let_664))))) (let ((_let_713 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_664 2)) (CONG _let_711 (MACRO_SR_PRED_INTRO :args ((= (not _let_659) _let_658))) :args _let_288)) :args ((or _let_658 _let_664))))) (let ((_let_714 (REORDERING (CNF_OR_POS :args (_let_660)) :args ((or _let_274 _let_659 _let_657 (not _let_660)))))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_714 (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_274 _let_272 _let_273 _let_632))) _let_713 _let_712 _let_710 _let_709 _let_707 _let_703 _let_698 _let_694 _let_693 _let_692 _let_298 _let_690 _let_298 _let_689 _let_688 _let_687 _let_686 _let_685 _let_684 _let_683 _let_682 _let_681 _let_680 _let_678 _let_617 _let_614 _let_613 _let_612 _let_611 _let_297 _let_609 _let_608 _let_607 _let_604 (MACRO_RESOLUTION_TRUST _let_603 _let_602 _let_596 _let_298 _let_595 _let_594 _let_486 _let_593 _let_485 _let_298 _let_591 _let_481 _let_585 _let_479 _let_477 _let_476 _let_473 _let_469 _let_298 _let_467 _let_466 :args ((or _let_157 _let_261 _let_155 _let_544) true _let_51 false tptp.hskp18 false tptp.ndr1_0 false _let_543 true _let_542 false _let_460 true _let_156 false _let_459 false tptp.ndr1_0 true _let_541 true _let_457 true _let_165 true _let_454 false _let_132 false _let_133 false _let_134 false tptp.hskp0 false tptp.ndr1_0 true _let_450 true _let_449)) _let_675 _let_674 _let_670 _let_640 _let_669 _let_639 _let_638 _let_627 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)) (REORDERING (CNF_OR_POS :args (_let_648)) :args ((or _let_279 _let_645 _let_647 (not _let_648)))) (REORDERING (CNF_OR_POS :args (_let_282)) :args ((or _let_280 _let_279 _let_281 _let_633))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_646 2)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_645) _let_644))) :args _let_288)) :args ((or _let_644 _let_646))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_646 1)) (CONG _let_668 (MACRO_SR_PRED_INTRO :args ((= (not _let_279) _let_278))) :args _let_288)) :args ((or _let_278 _let_646))) (CNF_OR_NEG :args (_let_646 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_667)) :args _let_667)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_666) _let_155))) (REFL :args ((not _let_646))) :args _let_288)) :args ((or tptp.hskp26 _let_261 _let_155 _let_633 _let_544 _let_632 _let_635 _let_665) false _let_273 false _let_658 false _let_271 true _let_274 true _let_664 true _let_146 true _let_663 false _let_660 false _let_57 false _let_233 false tptp.hskp16 false tptp.ndr1_0 false _let_656 false tptp.ndr1_0 true _let_655 true _let_654 true _let_219 true _let_156 true _let_653 true _let_652 true _let_628 false _let_211 false _let_213 false _let_215 true _let_217 true _let_208 true _let_206 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp27 true tptp.hskp9 true _let_101 false _let_204 false _let_157 true _let_651 true _let_650 true _let_649 true _let_192 false _let_220 false _let_194 false _let_196 true _let_222 true _let_223 true _let_648 false _let_281 false _let_644 false _let_278 true _let_280 true _let_646)) _let_643 _let_642 _let_641 _let_253 _let_634 _let_250 _let_249 _let_248 :args ((or _let_261 _let_244 _let_222 _let_633 _let_632) true _let_155 true tptp.hskp26 true _let_631 true _let_12 false _let_630 false _let_198 false _let_181 false _let_167)))) (let ((_let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_343 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_342)) :args _let_341)))) (let ((_let_717 (MACRO_RESOLUTION_TRUST _let_464 (MACRO_RESOLUTION_TRUST _let_716 _let_432 _let_715 _let_385 _let_298 _let_627 _let_624 _let_623 _let_620 _let_619 _let_298 _let_618 _let_617 _let_615 _let_297 _let_609 _let_608 _let_607 _let_604 (MACRO_RESOLUTION_TRUST _let_496 _let_447 _let_446 _let_296 (MACRO_RESOLUTION_TRUST _let_603 _let_602 _let_596 _let_298 _let_595 _let_594 _let_486 _let_593 _let_485 _let_298 _let_591 _let_589 _let_481 _let_585 _let_583 _let_581 _let_479 _let_477 _let_476 _let_580 _let_579 _let_578 _let_473 _let_577 _let_574 _let_469 _let_298 _let_573 _let_468 _let_298 _let_464 _let_572 _let_571 (REORDERING (CNF_OR_POS :args (_let_527)) :args ((or _let_104 _let_525 _let_526 (not _let_527)))) _let_567 _let_564 _let_563 _let_562 _let_560 _let_559 _let_298 _let_558 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440)) _let_557 _let_444 (MACRO_RESOLUTION_TRUST _let_553 (REORDERING (CNF_OR_POS :args (_let_547)) :args ((or _let_523 _let_522 _let_519 (not _let_547)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_442 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_441)) :args _let_440)) _let_552 _let_551 _let_444 _let_550 _let_443 _let_298 :args ((or tptp.hskp4 _let_176 _let_548) false _let_519 false _let_547 false _let_521 true _let_523 false _let_438 true _let_546 false _let_439 false tptp.ndr1_0)) _let_443 _let_298 :args ((or tptp.hskp4 _let_448 _let_449 _let_450 _let_506 _let_176 _let_544) true _let_51 false tptp.hskp18 false tptp.ndr1_0 false _let_543 true _let_542 false _let_460 true _let_156 false _let_459 false tptp.ndr1_0 true _let_541 true _let_155 true _let_457 true _let_165 true _let_540 false _let_534 true _let_454 false _let_132 false _let_133 false _let_536 true _let_532 true _let_533 false _let_134 true _let_538 false _let_535 false tptp.hskp0 false tptp.ndr1_0 true _let_283 false _let_451 false tptp.ndr1_0 true _let_261 true _let_531 true _let_260 false _let_526 true _let_529 true _let_102 true _let_104 false _let_106 false _let_107 false tptp.hskp5 false tptp.ndr1_0 true _let_528 false _let_527 true _let_219 false _let_438 true _let_524 false _let_439 false tptp.ndr1_0)) _let_518 _let_517 _let_516 _let_515 _let_514 _let_513 _let_512 _let_511 _let_468 _let_298 _let_510 _let_467 _let_466 _let_465 _let_248 _let_497 _let_361 _let_348 _let_286 _let_346 _let_345 _let_307 _let_302 _let_305 _let_306 _let_303 _let_299 _let_298 _let_287 _let_300 _let_301 _let_290 :args ((or _let_157 _let_260) true _let_109 true _let_111 false _let_113 false tptp.hskp4 true _let_506 true _let_138 true _let_505 false _let_502 false _let_503 true _let_498 true _let_499 true _let_500 false _let_451 false tptp.ndr1_0 true _let_501 true _let_450 true _let_449 true _let_448 false _let_167 false _let_177 false _let_355 false _let_230 true _let_262 true _let_269 true _let_176 true _let_41 false _let_264 false _let_45 true _let_43 false _let_46 false tptp.hskp19 false tptp.ndr1_0 true _let_263 true _let_267 true _let_266 true _let_268)) _let_497 _let_352 _let_348 _let_298 _let_347 _let_346 _let_345 _let_310 _let_308 _let_307 _let_306 _let_305 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_290 _let_287 _let_286 (REORDERING (EQUIV_ELIM1 _let_285) :args ((or _let_261 _let_284))) :args (_let_261 false _let_283 true _let_282 false _let_277 false tptp.ndr1_0 true _let_222 true _let_223 true _let_228 false _let_4 false tptp.hskp28 false tptp.ndr1_0 true _let_276 true _let_208 true _let_206 false _let_8 false tptp.hskp27 true tptp.hskp9 true _let_101 false _let_204 false _let_157 false _let_177 false _let_275 false _let_230 false tptp.ndr1_0 true _let_270 true _let_269 true _let_176 true _let_141 true _let_143 true _let_41 true _let_43 false _let_45 false _let_46 false _let_264 true _let_266 true _let_267 false tptp.hskp19 false tptp.ndr1_0 true _let_268 true _let_263 true _let_262 true _let_260)) :args (_let_260 false _let_261)))) (let ((_let_718 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)) _let_717 :args (_let_254 false _let_260)))) (let ((_let_719 (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_64 _let_184 _let_182 (not _let_254)))))) (let ((_let_720 (or _let_273 _let_272 _let_659))) (let ((_let_721 (or _let_519 _let_545 _let_522))) (let ((_let_722 (forall ((X118 $$unsorted)) (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118)))))) (let ((_let_723 (forall ((X82 $$unsorted)) (or (tptp.c1_1 X82) (tptp.c2_1 X82) (tptp.c3_1 X82))))) (let ((_let_724 (tptp.c2_1 tptp.a43))) (let ((_let_725 (not _let_724))) (let ((_let_726 (not _let_38))) (let ((_let_727 (not _let_39))) (let ((_let_728 (or _let_727 _let_726 _let_725))) (let ((_let_729 (or _let_724 _let_36 _let_726))) (let ((_let_730 (forall ((X120 $$unsorted)) (or (tptp.c3_1 X120) (not (tptp.c0_1 X120)) (not (tptp.c1_1 X120)))))) (let ((_let_731 (tptp.c3_1 tptp.a32))) (let ((_let_732 (not _let_731))) (let ((_let_733 (or _let_53 _let_661 _let_732))) (let ((_let_734 (or _let_53 _let_731 _let_661))) (let ((_let_735 (forall ((X119 $$unsorted)) (or (tptp.c1_1 X119) (not (tptp.c0_1 X119)) (not (tptp.c2_1 X119)))))) (let ((_let_736 (forall ((X38 $$unsorted)) (or (tptp.c0_1 X38) (tptp.c2_1 X38) (tptp.c3_1 X38))))) (let ((_let_737 (or _let_79 _let_77 _let_75))) (let ((_let_738 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_155 (= X78 X120)))))) (let ((_let_739 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X83 X119)))))) (let ((_let_740 (AND_ELIM _let_294 :args (89)))) (let ((_let_741 (AND_ELIM _let_294 :args (12)))) (let ((_let_742 (not _let_737))) (let ((_let_743 (not _let_81))) (let ((_let_744 (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_80 _let_743))))) (let ((_let_745 (REORDERING (CNF_AND_POS :args (_let_81 2)) :args ((or _let_78 _let_743))))) (let ((_let_746 (REORDERING (CNF_AND_POS :args (_let_81 3)) :args ((or _let_76 _let_743))))) (let ((_let_747 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_737)) :args ((or _let_79 _let_77 _let_75 _let_742))) _let_746 _let_745 _let_744 :args ((or _let_743 _let_742) true _let_75 true _let_77 true _let_79)))) (let ((_let_748 (_let_736))) (let ((_let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_748) :args (tptp.a20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X38) true))))) :args _let_748)))) (let ((_let_750 (MACRO_RESOLUTION_TRUST _let_749 _let_747 (AND_ELIM _let_294 :args (48)) _let_298 _let_741 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_458 (= X28 X39)))) _let_740 _let_298 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)) _let_739 (REORDERING (CNF_OR_POS :args (_let_734)) :args ((or _let_53 _let_661 _let_731 (not _let_734)))) _let_707 (REORDERING (CNF_OR_POS :args (_let_733)) :args ((or _let_53 _let_661 _let_732 (not _let_733)))) _let_703 _let_702 _let_701 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_697 :args (tptp.a32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_696)) :args _let_695)) _let_694 _let_693 _let_692 _let_298 _let_690 _let_298 _let_689 _let_688 _let_675 _let_687 _let_686 _let_674 _let_738 _let_685 _let_684 _let_670 _let_643 _let_642 _let_683 _let_640 _let_641 _let_253 _let_634 _let_250 _let_249 _let_638 _let_639 _let_669 :args ((or _let_244 _let_222 _let_216 _let_214 _let_212) true _let_737 false _let_736 false tptp.ndr1_0 false _let_81 true (forall ((X39 $$unsorted)) (or (tptp.c1_1 X39) (tptp.c3_1 X39) (not (tptp.c2_1 X39)))) false tptp.hskp12 false tptp.ndr1_0 true _let_458 true _let_735 true _let_734 true _let_146 true _let_731 true _let_663 true _let_53 false _let_55 false _let_733 false _let_57 false _let_233 false tptp.hskp16 false tptp.ndr1_0 false _let_656 false tptp.ndr1_0 true _let_655 true _let_654 true _let_651 true _let_219 true _let_156 true _let_650 true _let_730 true _let_653 true _let_652 true _let_649 true _let_155 true tptp.hskp26 true _let_628 true _let_192 true _let_631 true _let_12 false _let_630 false _let_198 false _let_181 false _let_196 false _let_194 false _let_220)))) (let ((_let_751 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_382)) :args _let_381)))) (let ((_let_752 (or _let_526 _let_102 _let_525))) (let ((_let_753 (_let_107))) (let ((_let_754 (forall ((X129 $$unsorted)) (or (tptp.c2_1 X129) (tptp.c3_1 X129) (not (tptp.c0_1 X129)))))) (let ((_let_755 (tptp.c0_1 tptp.a63))) (let ((_let_756 (not _let_755))) (let ((_let_757 (or _let_20 _let_18 _let_756))) (let ((_let_758 (or _let_755 _let_20 _let_18))) (let ((_let_759 (not _let_22))) (let ((_let_760 (or _let_755 _let_20 _let_759))) (let ((_let_761 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_762 (not _let_761))) (let ((_let_763 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_764 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_765 (or _let_764 _let_763 _let_762))) (let ((_let_766 (or _let_311 _let_41 _let_142))) (let ((_let_767 (forall ((X110 $$unsorted)) (or (tptp.c1_1 X110) (tptp.c3_1 X110) (not (tptp.c2_1 X110)))))) (let ((_let_768 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)))) (let ((_let_769 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)))) (let ((_let_770 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_326)) :args _let_322)))) (let ((_let_771 (not _let_174))) (let ((_let_772 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_26 _let_24 _let_173 _let_771))) (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_25 _let_175))) (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_27 _let_175))) (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_175))) :args ((or _let_175 _let_771) true _let_24 true _let_26 false _let_28)))) (let ((_let_773 (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_41 _let_142 _let_311 (not _let_766)))))) (let ((_let_774 (AND_ELIM _let_294 :args (22)))) (let ((_let_775 ((not (= (tptp.c3_1 X28) true))))) (let ((_let_776 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_482)))) (let ((_let_777 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_458 (= X28 X110)))))) (let ((_let_778 (or _let_36 _let_727 _let_726))) (let ((_let_779 (not _let_752))) (let ((_let_780 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_588 :args (tptp.a43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_586)))) (let ((_let_781 (REORDERING (CNF_OR_POS :args (_let_752)) :args ((or _let_102 _let_525 _let_526 _let_779))))) (let ((_let_782 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_451 (= Y X82)))))) (let ((_let_783 (REORDERING (AND_ELIM _let_294 :args (104)) :args ((or tptp.hskp9 tptp.hskp22 tptp.hskp25))))) (let ((_let_784 (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_148 _let_147 _let_149 _let_152))))) (let ((_let_785 (MACRO_RESOLUTION_TRUST _let_372 _let_784 _let_368 _let_367 :args ((or _let_366 _let_152 _let_371) false _let_149 false _let_15 false _let_16)))) (let ((_let_786 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_706 :args (tptp.a73 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X83) false))))) :args _let_704)))) (let ((_let_787 (AND_ELIM _let_294 :args (73)))) (let ((_let_788 (AND_ELIM _let_294 :args (20)))) (let ((_let_789 (not _let_40))) (let ((_let_790 (REORDERING (CNF_AND_POS :args (_let_40 1)) :args ((or _let_39 _let_789))))) (let ((_let_791 (REORDERING (CNF_AND_POS :args (_let_40 2)) :args ((or _let_38 _let_789))))) (let ((_let_792 (REORDERING (CNF_AND_POS :args (_let_40 3)) :args ((or _let_37 _let_789))))) (let ((_let_793 (not _let_778))) (let ((_let_794 (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_36 _let_727 _let_726 _let_793))))) (let ((_let_795 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_796 (or _let_764 _let_761 _let_795))) (let ((_let_797 (or _let_764 _let_795 _let_763))) (let ((_let_798 (not _let_765))) (let ((_let_799 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_435 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_434)) :args _let_433)))) (let ((_let_800 (not _let_736))) (let ((_let_801 (_let_800))) (let ((_let_802 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_801)) :args _let_801)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_800) _let_736))) (REFL :args ((not _let_797))) :args _let_288)))) (let ((_let_803 (CNF_OR_NEG :args (_let_797 0)))) (let ((_let_804 (CNF_OR_NEG :args (_let_797 1)))) (let ((_let_805 (CNF_OR_NEG :args (_let_797 2)))) (let ((_let_806 (not _let_796))) (let ((_let_807 (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_764 _let_795 _let_761 _let_806))))) (let ((_let_808 (REORDERING (CNF_OR_POS :args (_let_765)) :args ((or _let_764 _let_763 _let_762 _let_798))))) (let ((_let_809 (or _let_130 _let_166 _let_163))) (let ((_let_810 (forall ((X112 $$unsorted)) (or (not (tptp.c0_1 X112)) (not (tptp.c1_1 X112)) (not (tptp.c3_1 X112)))))) (let ((_let_811 (forall ((X111 $$unsorted)) (or (tptp.c2_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c3_1 X111)))))) (let ((_let_812 (REORDERING (CNF_OR_POS :args (_let_809)) :args ((or _let_130 _let_163 _let_166 (not _let_809)))))) (let ((_let_813 (_let_243))) (let ((_let_814 ((not (= (tptp.c2_1 X19) true))))) (let ((_let_815 (ASSUME :args _let_813))) (let ((_let_816 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_815 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_814)) :args _let_813)))) (let ((_let_817 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_177 (= X58 X112)))))) (let ((_let_818 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_243 (= X19 X111)))))) (let ((_let_819 (AND_ELIM _let_294 :args (86)))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_819 _let_298 _let_818 _let_817 _let_816 _let_248 _let_812 _let_585 :args ((or _let_130 _let_767 _let_164 _let_163 _let_166) false tptp.ndr1_0 true _let_811 true _let_810 true _let_243 true _let_177 true _let_809 true _let_167)))) (let ((_let_821 (not _let_23))) (let ((_let_822 (MACRO_RESOLUTION_TRUST _let_560 (MACRO_RESOLUTION_TRUST _let_567 (MACRO_RESOLUTION_TRUST _let_420 _let_298 _let_415 _let_424 _let_407 _let_429 _let_259 _let_258 _let_257 _let_430 _let_403 _let_425 _let_401 _let_298 _let_423 _let_422 _let_421 _let_384 _let_419 _let_416 _let_376 _let_411 _let_369 _let_368 _let_367 _let_406 _let_365 _let_404 _let_364 _let_298 _let_402 _let_298 _let_363 _let_715 _let_627 _let_624 _let_623 _let_620 _let_619 _let_298 _let_618 _let_617 _let_615 _let_297 _let_609 _let_608 _let_607 _let_436 _let_604 _let_496 _let_352 _let_361 _let_348 _let_298 _let_347 _let_400 _let_399 _let_346 _let_447 _let_446 _let_770 _let_296 _let_781 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_let_298 _let_642 _let_253 _let_249 _let_363 _let_364 _let_298 _let_365 _let_374 _let_362 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_351 :args (tptp.a63 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_350)) :args _let_349)) _let_348 _let_298 _let_346 (MACRO_RESOLUTION_TRUST _let_603 _let_602 _let_596 _let_298 _let_595 _let_594 _let_486 _let_593 _let_485 _let_298 _let_591 _let_481 _let_820 _let_479 _let_478 _let_477 _let_476 _let_473 _let_469 _let_298 _let_467 _let_466 (MACRO_RESOLUTION_TRUST _let_808 _let_807 _let_805 _let_804 _let_803 _let_802 _let_749 _let_747 _let_741 _let_740 _let_298 _let_739 _let_786 _let_785 _let_365 _let_783 _let_608 _let_607 _let_799 _let_604 :args ((or tptp.hskp22 _let_730 _let_508 _let_798 _let_371) false _let_761 true _let_763 true _let_795 true _let_764 true _let_797 true _let_736 true _let_737 false _let_81 false tptp.hskp12 false tptp.ndr1_0 true _let_735 true _let_146 true _let_150 false _let_17 false tptp.hskp25 true tptp.hskp9 true _let_101 false _let_796 false _let_204)) _let_738 (MACRO_RESOLUTION_TRUST _let_794 _let_792 _let_791 _let_790 _let_788 _let_787 _let_298 _let_786 _let_785 _let_365 _let_783 _let_608 _let_607 _let_782 _let_574 _let_604 _let_581 _let_465 _let_583 (MACRO_RESOLUTION_TRUST _let_583 _let_581 _let_580 _let_579 _let_578 _let_577 _let_574 _let_573 _let_468 _let_298 _let_572 _let_571 _let_781 _let_567 _let_564 _let_563 _let_562 :args ((or _let_448 _let_561 _let_779 _let_582) false _let_534 false _let_536 true _let_532 true _let_533 true _let_538 false _let_535 true _let_283 false _let_451 false tptp.ndr1_0 true _let_531 true _let_260 false _let_526 true _let_529 true _let_102 true _let_104 false _let_106)) _let_589 _let_780 :args ((or tptp.hskp22 _let_561 _let_666 _let_533 _let_532 _let_537 _let_779 _let_371) true _let_36 false _let_38 false _let_39 false _let_40 false tptp.hskp20 false tptp.ndr1_0 true _let_146 true _let_150 false _let_17 false tptp.hskp25 true tptp.hskp9 true _let_101 true _let_723 true _let_451 false 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(SCOPE (INSTANTIATE _let_324 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)))) (let ((_let_827 (not _let_162))) (let ((_let_828 (MACRO_RESOLUTION_TRUST _let_591 _let_585 _let_477 _let_476 :args ((or _let_475 _let_590 _let_544) true _let_165 false _let_132 false _let_133)))) (let ((_let_829 (REORDERING (AND_ELIM _let_294 :args (108)) :args ((or tptp.hskp0 tptp.hskp11 tptp.hskp22))))) (let ((_let_830 (AND_ELIM _let_294 :args (11)))) (let ((_let_831 (not _let_86))) (let ((_let_832 (REORDERING (CNF_AND_POS :args (_let_86 1)) :args ((or _let_85 _let_831))))) (let ((_let_833 (REORDERING (CNF_AND_POS :args (_let_86 3)) :args ((or _let_83 _let_831))))) (let ((_let_834 (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_82 _let_160 _let_159 (not _let_161)))))) (let ((_let_835 (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_82 _let_160 _let_158 _let_827))))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_835 _let_834 _let_833 _let_832 _let_830 _let_829 _let_473 _let_828 _let_593 _let_172 :args ((or tptp.hskp22 _let_168 _let_827 _let_544) true _let_158 true _let_82 false _let_85 false _let_86 false tptp.hskp11 true tptp.hskp0 true _let_134 false _let_541 false _let_161)))) (let ((_let_837 (not _let_203))) (let ((_let_838 (or _let_190 _let_188 _let_205))) (let ((_let_839 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_840 (not _let_839))) (let ((_let_841 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_842 (not _let_841))) (let ((_let_843 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_844 (or _let_843 _let_842 _let_840))) (let ((_let_845 (not _let_84))) (let ((_let_846 (or _let_82 _let_160 _let_845))) (let ((_let_847 (not _let_33))) (let ((_let_848 (not _let_34))) (let ((_let_849 (or _let_31 _let_848 _let_847))) (let ((_let_850 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)))) (let ((_let_851 (or _let_274 _let_272 _let_657))) (let ((_let_852 (or _let_202 _let_200 (not (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))) (let ((_let_853 (not _let_201))) (let ((_let_854 (or _let_202 _let_200 _let_853))) (let ((_let_855 (not _let_219))) (let ((_let_856 (_let_855))) (let ((_let_857 (AND_ELIM _let_294 :args (30)))) (let ((_let_858 (MACRO_RESOLUTION_TRUST _let_602 _let_603 _let_595 _let_596 _let_298 _let_857 _let_298 _let_594 :args ((or _let_157 _let_156 _let_155) false _let_51 false _let_543 false tptp.hskp18 false tptp.ndr1_0 false _let_460 false tptp.ndr1_0 true _let_542)))) (let ((_let_859 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_794 _let_791 _let_790 :args ((or _let_36 _let_789 _let_793) false _let_38 false _let_39)) _let_792 _let_788 _let_787 _let_298 _let_782 _let_780 _let_514 _let_858 _let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_516 (REORDERING (CNF_OR_POS :args (_let_854)) :args ((or _let_202 _let_200 _let_853 (not _let_854)))) _let_517 (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_202 _let_200 _let_201 _let_837))) _let_518 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_852 1)) (CONG (REFL :args (_let_852)) (MACRO_SR_PRED_INTRO :args ((= (not _let_200) _let_199))) :args _let_288)) :args ((or _let_199 _let_852))) (CNF_OR_NEG :args (_let_852 0)) _let_559 _let_298 _let_822 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_856)) :args _let_856)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_855) _let_219))) (REFL :args ((not _let_852))) :args _let_288)) _let_558 _let_511 _let_512 _let_513 _let_510 :args ((or _let_157 _let_219 _let_146 _let_837) true _let_36 false _let_40 false tptp.hskp20 false tptp.ndr1_0 true _let_723 false _let_778 true _let_451 false _let_155 true _let_503 true _let_156 true _let_502 true _let_854 false _let_505 false _let_201 false _let_138 false _let_199 true _let_202 false _let_506 false tptp.ndr1_0 true tptp.hskp5 true _let_852 true _let_528 true _let_500 true _let_499 true _let_498 true _let_501)))) (let ((_let_860 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_556 :args (tptp.a19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_555)) :args _let_554)))) (let ((_let_861 (not _let_846))) (let ((_let_862 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_846)) :args ((or _let_82 _let_160 _let_845 _let_861))) _let_833 (REORDERING (CNF_AND_POS :args (_let_86 2)) :args ((or _let_84 _let_831))) _let_832 :args ((or _let_831 _let_861) true _let_82 false _let_84 false _let_85)))) (let ((_let_863 (REORDERING (AND_ELIM _let_294 :args (99)) :args ((or tptp.hskp18 tptp.hskp28 _let_691 _let_218))))) (let ((_let_864 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_209 (= X56 X133)))))) (let ((_let_865 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_556 :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_555)) :args _let_554)))) (let ((_let_866 (not _let_210))) (let ((_let_867 (not _let_838))) (let ((_let_868 (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_188 _let_205 _let_189 _let_866))))) (let ((_let_869 (MACRO_RESOLUTION_TRUST _let_868 (REORDERING (CNF_OR_POS :args (_let_838)) :args ((or _let_188 _let_205 _let_190 _let_867))) _let_612 _let_611 :args ((or _let_293 _let_867 _let_866) true _let_189 false _let_6 false _let_7)))) (let ((_let_870 (tptp.c1_1 tptp.a20))) (let ((_let_871 (not _let_870))) (let ((_let_872 (or _let_77 _let_75 _let_871))) (let ((_let_873 (or _let_79 _let_870 _let_75))) (let ((_let_874 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c1_1 X16) (tptp.c3_1 X16))))) (let ((_let_875 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_876 (or _let_843 _let_875 _let_842))) (let ((_let_877 (or _let_839 _let_875 _let_842))) (let ((_let_878 (not _let_844))) (let ((_let_879 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)) _let_717 :args (_let_872 false _let_260)))) (let ((_let_880 (REORDERING (CNF_OR_POS :args (_let_872)) :args ((or _let_77 _let_75 _let_871 (not _let_872)))))) (let ((_let_881 (REORDERING (CNF_OR_POS :args (_let_873)) :args ((or _let_79 _let_75 _let_870 (not _let_873)))))) (let ((_let_882 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_334 :args (tptp.a20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_333)) :args _let_332)))) (let ((_let_883 (AND_ELIM _let_294 :args (3)))) (let ((_let_884 (not _let_119))) (let ((_let_885 (REORDERING (CNF_AND_POS :args (_let_119 1)) :args ((or _let_118 _let_884))))) (let ((_let_886 (REORDERING (CNF_AND_POS :args (_let_119 2)) :args ((or _let_117 _let_884))))) (let ((_let_887 (REORDERING (CNF_AND_POS :args (_let_119 3)) :args ((or _let_115 _let_884))))) (let ((_let_888 (not _let_230))) (let ((_let_889 (_let_888))) (let ((_let_890 (REORDERING (CNF_OR_POS :args (_let_239)) :args ((or _let_116 _let_114 _let_238 (not _let_239)))))) (let ((_let_891 (not _let_877))) (let ((_let_892 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)))) (let ((_let_893 (REORDERING (AND_ELIM _let_294 :args (109)) :args ((or tptp.hskp11 tptp.hskp12 tptp.hskp21))))) (let ((_let_894 (AND_ELIM _let_294 :args (21)))) (let ((_let_895 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)))) (let ((_let_896 (not _let_849))) (let ((_let_897 (not _let_35))) (let ((_let_898 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_849)) :args ((or _let_31 _let_848 _let_847 _let_896))) (REORDERING (CNF_AND_POS :args (_let_35 3)) :args ((or _let_32 _let_897))) (REORDERING (CNF_AND_POS :args (_let_35 2)) :args ((or _let_33 _let_897))) (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_34 _let_897))) :args ((or _let_897 _let_896) true _let_31 false _let_33 false _let_34)))) (let ((_let_899 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_230 (= X53 X98)))))) (let ((_let_900 (AND_ELIM _let_294 :args (80)))) (let ((_let_901 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_233 (= X5 X99)))))) (let ((_let_902 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_697 :args (tptp.a39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_696)) :args _let_695)))) (let ((_let_903 (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_47 _let_234 _let_236 (not _let_237)))))) (let ((_let_904 (REORDERING (CNF_OR_POS :args (_let_241)) :args ((or _let_240 _let_234 _let_235 (not _let_241)))))) (let ((_let_905 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_815 :args (tptp.a39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_814)) :args _let_813)))) (let ((_let_906 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_294 :args (39)) _let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_242 (= X10 X17)))) _let_905 _let_892 _let_904 _let_890 _let_903 _let_902 _let_887 _let_886 _let_885 _let_601 _let_600 _let_599 _let_901 _let_883 _let_603 _let_900 _let_298 (AND_ELIM _let_294 :args (63)) _let_298 _let_863 _let_298 _let_899 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_230 (= X53 X66)))) _let_620 _let_362 _let_623 _let_374 _let_624 _let_380 _let_627 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X13 X65)))) (MACRO_RESOLUTION_TRUST _let_750 _let_682 _let_681 _let_680 :args ((or _let_244 _let_222 _let_217) false _let_211 false _let_213 false _let_215)) _let_865 _let_864 _let_678 _let_868 _let_384 _let_617 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_188 _let_187 _let_190 (not _let_191)))) (MACRO_RESOLUTION_TRUST _let_376 _let_369 _let_368 _let_367 :args ((or _let_366 _let_375) true _let_13 false _let_15 false _let_16)) _let_615 _let_613 _let_612 _let_611 _let_365 _let_297 _let_783 _let_609 _let_608 _let_607 _let_604 (MACRO_RESOLUTION_TRUST _let_641 _let_643 _let_627 _let_858 (MACRO_RESOLUTION_TRUST _let_898 _let_895 _let_894 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_395 (= X27 X71)))) _let_893 (AND_ELIM _let_294 :args (67)) _let_298 _let_741 (MACRO_RESOLUTION_TRUST _let_340 _let_298 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_343 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_342)) :args _let_341)) _let_892 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_877)) :args ((or _let_875 _let_842 _let_839 _let_891))) (REORDERING (CNF_OR_POS :args (_let_844)) :args ((or _let_843 _let_842 _let_840 _let_878))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_876 2)) (CONG (REFL :args (_let_876)) (MACRO_SR_PRED_INTRO :args ((= (not _let_842) _let_841))) :args _let_288)) :args ((or _let_841 _let_876))) (CNF_OR_NEG :args (_let_876 1)) (CNF_OR_NEG :args (_let_876 0)) :args ((or _let_876 _let_878 _let_891) true _let_839 false _let_841 true _let_875 true _let_843)) _let_890 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_889)) :args _let_889)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_888) _let_230))) (REFL :args ((not _let_876))) :args _let_288)) _let_887 _let_886 _let_885 _let_361 _let_883 (MACRO_RESOLUTION_TRUST _let_493 _let_495 _let_492 _let_491 :args ((or _let_291 _let_494 _let_463) true _let_354 true _let_126 false _let_128)) (REORDERING (AND_ELIM _let_294 :args (38)) :args ((or tptp.hskp3 tptp.hskp26 _let_691 _let_874))) _let_298 _let_295 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X9 X16)))) (AND_ELIM _let_294 :args (49)) _let_298 _let_882 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_736 (= X38 X41)))) _let_881 _let_749 _let_880 _let_879 _let_747 _let_746 _let_745 _let_744 :args ((or tptp.hskp26 tptp.hskp27 _let_743 _let_878 _let_494) false tptp.ndr1_0 true _let_283 true _let_242 true _let_877 true _let_239 true _let_876 true _let_114 true _let_116 false _let_118 true _let_230 false _let_119 true _let_355 false tptp.hskp3 false tptp.ndr1_0 false _let_129 true _let_874 false tptp.hskp1 false tptp.ndr1_0 true _let_318 true (forall ((X41 $$unsorted)) (or (tptp.c0_1 X41) (tptp.c2_1 X41) (tptp.c3_1 X41))) true _let_873 true _let_736 true _let_870 false _let_872 true _let_737 true _let_75 true _let_77 true _let_79)) _let_297 _let_869 _let_490 _let_857 _let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= V X70)))) _let_593 _let_828 _let_473 _let_829 _let_830 _let_862 _let_865 _let_860 _let_689 _let_692 _let_298 _let_694 _let_703 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_706 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_705)) :args _let_704)) _let_707 (MACRO_RESOLUTION_TRUST _let_864 _let_751 _let_863 _let_298 _let_824 _let_603 (REORDERING (CNF_OR_POS :args (_let_851)) :args ((or _let_274 _let_272 _let_657 (not _let_851)))) _let_602 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) _let_595 _let_857 _let_298 _let_593 _let_828 _let_473 _let_829 _let_830 _let_862 _let_860 _let_859 _let_713 _let_712 _let_710 _let_709 :args ((or tptp.hskp22 tptp.hskp28 _let_157 _let_146 _let_837 _let_544) true _let_209 false _let_218 false tptp.ndr1_0 true _let_720 true tptp.hskp18 true _let_273 true _let_51 false _let_851 false _let_543 false _let_460 false tptp.ndr1_0 true _let_156 true _let_541 false _let_134 false tptp.hskp0 true tptp.hskp11 true _let_86 false _let_846 false _let_219 false _let_658 false _let_271 true _let_274 true _let_664)) _let_620 _let_623 _let_850 _let_624 :args ((or tptp.hskp22 tptp.hskp26 _let_157 _let_625 _let_837 _let_544) false _let_849 false _let_35 false _let_395 false tptp.hskp21 false (forall ((X71 $$unsorted)) (or (tptp.c0_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71)))) false tptp.ndr1_0 true tptp.hskp12 true _let_81 true tptp.hskp27 true _let_8 false _let_462 false _let_460 false tptp.ndr1_0 true (forall ((X70 $$unsorted)) (or (tptp.c0_1 X70) (not (tptp.c1_1 X70)) (not (tptp.c3_1 X70)))) true _let_156 true _let_541 false _let_134 false tptp.hskp0 true tptp.hskp11 true _let_86 false _let_210 false _let_846 false _let_219 false _let_655 false tptp.ndr1_0 true tptp.hskp16 true _let_57 false _let_844 false _let_663 false _let_146 true tptp.hskp28 true _let_4 false _let_838 false _let_228)) :args ((or tptp.hskp22 tptp.hskp26 _let_157 _let_156 _let_837 _let_544 _let_635) false _let_631 true _let_222 false _let_155 true _let_223)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= V X18)))) _let_836 _let_774 _let_772 _let_826 _let_768 _let_825 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_729)) :args ((or _let_36 _let_726 _let_724 (not _let_729)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (tptp.a43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)) _let_717 :args (_let_729 false _let_260)) (REORDERING (CNF_OR_POS :args (_let_728)) :args ((or _let_727 _let_726 _let_725 (not _let_728)))) _let_792 _let_791 _let_790 _let_788 _let_787 _let_298 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_379 :args (tptp.a43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_378)) :args _let_377)) _let_782 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X63 X118)))) _let_514 (MACRO_RESOLUTION_TRUST _let_714 _let_698 _let_824 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_233 (= X5 X117)))) _let_713 _let_712 _let_710 (AND_ELIM _let_294 :args (88)) _let_298 _let_709 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X83 X116)))) :args ((or _let_146 _let_722 _let_823) false _let_660 false _let_273 false _let_233 false _let_658 false _let_271 true _let_274 false (forall ((X117 $$unsorted)) (or (tptp.c1_1 X117) (not (tptp.c2_1 X117)) (not (tptp.c3_1 X117)))) false tptp.ndr1_0 true _let_664 true (forall ((X116 $$unsorted)) (or (tptp.c1_1 X116) (not (tptp.c0_1 X116)) (not (tptp.c2_1 X116)))))) _let_515 _let_707 _let_516 _let_703 _let_517 _let_694 _let_518 _let_692 _let_298 _let_559 _let_298 _let_822 _let_689 _let_558 _let_557 _let_553 _let_513 _let_512 _let_511 (REORDERING (CNF_OR_POS :args (_let_721)) :args ((or _let_545 _let_522 _let_519 (not _let_721)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_570 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_568)) _let_717 :args (_let_721 false _let_260)) _let_751 _let_510 _let_552 (CNF_OR_NEG :args (_let_546 1)) _let_551 _let_401 _let_298 (MACRO_RESOLUTION_TRUST _let_376 _let_369 _let_368 _let_367 _let_365 _let_384 _let_364 _let_298 _let_431 _let_363 _let_750 _let_627 _let_624 _let_623 _let_620 _let_682 _let_681 _let_680 _let_619 _let_298 _let_678 _let_618 _let_617 _let_615 _let_297 _let_609 _let_608 _let_607 _let_436 _let_604 _let_347 :args ((or _let_176 _let_508) true _let_13 false _let_15 false _let_16 false _let_17 false _let_207 false tptp.hskp25 false tptp.ndr1_0 false _let_209 true _let_356 true _let_177 true _let_222 true _let_223 true _let_228 false _let_4 false _let_211 false _let_213 false _let_215 false tptp.hskp28 false tptp.ndr1_0 true _let_217 true _let_276 true _let_208 true _let_206 false _let_8 false tptp.hskp27 true tptp.hskp9 true _let_101 false _let_360 false _let_204 true _let_270)) _let_550 _let_399 :args ((or tptp.hskp14 tptp.hskp26 _let_176) false _let_729 true _let_724 true _let_36 false _let_38 false _let_39 false _let_40 false tptp.hskp20 false tptp.ndr1_0 false _let_728 true _let_723 false _let_223 true _let_451 false _let_722 true _let_503 true _let_146 true _let_502 true _let_663 false _let_505 false _let_57 false _let_138 false tptp.hskp16 false tptp.ndr1_0 false _let_506 false tptp.ndr1_0 true tptp.hskp5 true _let_655 true _let_528 true _let_219 true _let_524 true _let_498 true _let_499 true _let_500 false _let_519 false _let_721 false _let_720 true _let_501 false _let_521 true _let_545 true _let_523 false _let_209 false tptp.ndr1_0 true _let_157 true _let_546 true _let_386)) _let_403 _let_642 (MACRO_RESOLUTION_TRUST _let_719 _let_718 (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_185 _let_184 _let_183 _let_255))) _let_259 _let_258 _let_257 :args ((or _let_256 _let_255) false _let_254 true _let_182 true _let_64 false _let_66 false _let_67)) _let_253 _let_250 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_246)) :args _let_245)) _let_249 _let_248 :args (_let_244 false tptp.ndr1_0 true (forall ((X17 $$unsorted)) (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17)))) true _let_243 true _let_242 true _let_241 true _let_239 true _let_235 false _let_237 true _let_114 true _let_116 false _let_118 true _let_47 false _let_49 false _let_50 false _let_233 false _let_119 false _let_51 false _let_232 false tptp.ndr1_0 false tptp.hskp3 false tptp.ndr1_0 false tptp.hskp18 false tptp.ndr1_0 true _let_231 true (forall ((X66 $$unsorted)) (or (tptp.c1_1 X66) (tptp.c3_1 X66) (not (tptp.c0_1 X66)))) true tptp.hskp28 true _let_230 true _let_4 true _let_229 false _let_228 false _let_224 false _let_223 true (forall ((X65 $$unsorted)) (or (tptp.c0_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65)))) false _let_222 true _let_219 true _let_218 true _let_217 true _let_210 true _let_209 true _let_208 true _let_189 true _let_207 true _let_206 false _let_5 false _let_6 false _let_7 false _let_17 false _let_8 false tptp.hskp25 false tptp.hskp27 true tptp.hskp9 true _let_101 false _let_204 false _let_157 true (forall ((X18 $$unsorted)) (or (tptp.c0_1 X18) (not (tptp.c1_1 X18)) (not (tptp.c3_1 X18)))) true _let_156 true tptp.hskp22 true _let_29 false _let_203 false _let_174 false _let_162 false _let_176 true tptp.hskp14 true tptp.hskp26 true _let_68 true _let_12 false _let_198 false _let_191 false _let_186 false _let_181 false _let_167)))) (let ((_let_907 (or _let_359 _let_357 _let_392))) (let ((_let_908 (or _let_64 _let_185 _let_183))) (let ((_let_909 (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48)))))) (let ((_let_910 (tptp.c3_1 tptp.a5))) (let ((_let_911 (not _let_910))) (let ((_let_912 (or _let_116 _let_238 _let_911))) (let ((_let_913 (or _let_114 _let_910 _let_238))) (let ((_let_914 (_let_909))) (let ((_let_915 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_913)) :args ((or _let_114 _let_238 _let_910 (not _let_913)))) (REORDERING (CNF_OR_POS :args (_let_912)) :args ((or _let_116 _let_238 _let_911 (not _let_912)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_482)) _let_887 _let_886 _let_885 _let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_428 :args (tptp.a5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_427)) :args _let_426)) _let_883 _let_819 _let_298 _let_424 (AND_ELIM _let_294 :args (56)) _let_298 _let_818 _let_420 _let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_389 (= X31 X51)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_909 (= X48 X50)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_815 :args (tptp.a25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_814)) :args _let_813)) _let_415 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_914) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 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(tptp.c1_1 X51)))) true (forall ((X50 $$unsorted)) (or (tptp.c0_1 X50) (tptp.c2_1 X50) (not (tptp.c3_1 X50)))) true _let_243 true _let_389 true _let_909 true _let_908 true _let_388 false _let_182 false _let_254 true _let_907 true _let_64 false _let_66 false _let_67 true _let_357 false _let_68 true _let_360 false tptp.hskp14 false tptp.ndr1_0 false _let_391 true _let_359 true _let_209 true _let_393 true _let_390 true _let_207 true _let_138 true _let_13 false _let_15 false _let_16 true _let_137 false _let_17 false _let_74 false tptp.hskp25 false tptp.ndr1_0 false tptp.hskp13 false tptp.ndr1_0 true _let_356 true _let_810 true _let_387 true _let_386)) _let_906 :args (_let_176 true _let_177)))) (let ((_let_916 (MACRO_RESOLUTION_TRUST _let_774 (MACRO_RESOLUTION_TRUST _let_772 (MACRO_RESOLUTION_TRUST _let_768 _let_915 :args (_let_174 false _let_176)) :args (_let_175 false _let_174)) :args (_let_30 true _let_29)))) (let ((_let_917 (MACRO_RESOLUTION_TRUST _let_825 _let_915 :args (_let_162 false _let_176)))) (let ((_let_918 (REFL :args _let_584))) (let ((_let_919 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_920 (not _let_919))) (let ((_let_921 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_922 (not _let_921))) (let ((_let_923 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_924 (or _let_923 _let_922 _let_920))) (let ((_let_925 (or _let_149 _let_13 _let_147))) (let ((_let_926 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_927 (or _let_926 _let_922 _let_920))) (let ((_let_928 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_929 (not _let_928))) (let ((_let_930 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_931 (not _let_930))) (let ((_let_932 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_933 (or _let_932 _let_931 _let_929))) (let ((_let_934 (not _let_926))) (let ((_let_935 (or _let_923 _let_922 _let_934))) (let ((_let_936 (forall ((X97 $$unsorted)) (or (not (tptp.c0_1 X97)) (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)))))) (let ((_let_937 (not _let_124))) (let ((_let_938 (or _let_122 _let_120 _let_937))) (let ((_let_939 (forall ((X93 $$unsorted)) (or (tptp.c1_1 X93) (tptp.c2_1 X93) (not (tptp.c3_1 X93)))))) (let ((_let_940 (forall ((X96 $$unsorted)) (or (tptp.c1_1 X96) (tptp.c2_1 X96) (not (tptp.c3_1 X96)))))) (let ((_let_941 (or _let_932 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) _let_929))) (let ((_let_942 (or _let_930 _let_932 _let_929))) (let ((_let_943 (tptp.c0_1 tptp.a18))) (let ((_let_944 (or _let_943 _let_92 _let_90))) (let ((_let_945 (or _let_43 _let_312 _let_142))) (let ((_let_946 (or _let_190 _let_205 _let_187))) (let ((_let_947 (forall ((X101 $$unsorted)) (or (tptp.c1_1 X101) (tptp.c3_1 X101) (not (tptp.c0_1 X101)))))) (let ((_let_948 (forall ((X80 $$unsorted)) (or (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80)) (not (tptp.c3_1 X80)))))) (let ((_let_949 (or _let_13 _let_153 _let_147))) (let ((_let_950 (forall ((X79 $$unsorted)) (or (tptp.c0_1 X79) (not (tptp.c2_1 X79)) (not (tptp.c3_1 X79)))))) (let ((_let_951 (forall ((X69 $$unsorted)) (or (tptp.c0_1 X69) (not (tptp.c1_1 X69)) (not (tptp.c2_1 X69)))))) (let ((_let_952 (forall ((X128 $$unsorted)) (or (not (tptp.c0_1 X128)) (not (tptp.c1_1 X128)) (not (tptp.c3_1 X128)))))) (let ((_let_953 (not _let_943))) (let ((_let_954 (or _let_90 _let_88 _let_953))) (let ((_let_955 (not _let_944))) (let ((_let_956 (not _let_94))) (let ((_let_957 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_223 (= X63 X97)))))) (let ((_let_958 (_let_948))) (let ((_let_959 (MACRO_RESOLUTION_TRUST _let_365 (MACRO_RESOLUTION_TRUST _let_364 _let_298 (MACRO_RESOLUTION_TRUST _let_363 _let_906 :args ((not _let_356) true _let_177)) :args (tptp.hskp25 false tptp.ndr1_0 true _let_356)) :args (_let_17 false tptp.hskp25)))) (let ((_let_960 (MACRO_RESOLUTION_TRUST _let_367 _let_959 :args (_let_16 false _let_17)))) (let ((_let_961 (MACRO_RESOLUTION_TRUST _let_369 _let_959 :args (_let_14 false _let_17)))) (let ((_let_962 (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_13 _let_148 _let_153 (not _let_154)))))) (let ((_let_963 (MACRO_RESOLUTION_TRUST _let_368 _let_959 :args (_let_15 false _let_17)))) (let ((_let_964 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_588 :args (tptp.a73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_586)))) (let ((_let_965 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_966 (not _let_965))) (let ((_let_967 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_968 (not _let_967))) (let ((_let_969 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_970 (or _let_969 _let_968 _let_966))) (let ((_let_971 (or _let_969 (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) _let_966))) (let ((_let_972 (or _let_969 _let_967 _let_966))) (let ((_let_973 (not _let_945))) (let ((_let_974 (not _let_460))) (let ((_let_975 (_let_974))) (let ((_let_976 (_let_939))) (let ((_let_977 ((not (= (tptp.c1_1 X93) true))))) (let ((_let_978 (ASSUME :args _let_976))) (let ((_let_979 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_939 (= X93 X96)))))) (let ((_let_980 (AND_ELIM _let_294 :args (79)))) (let ((_let_981 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_395 (= X27 X79)))))) (let ((_let_982 (AND_ELIM _let_294 :args (71)))) (let ((_let_983 (REORDERING (CNF_OR_POS :args (_let_945)) :args ((or _let_43 _let_142 _let_312 _let_973))))) (let ((_let_984 (MACRO_RESOLUTION_TRUST _let_773 _let_983 _let_307 _let_306 _let_305 _let_303 _let_982 _let_298 _let_981 _let_895 _let_898 _let_894 _let_893 _let_741 _let_747 _let_749 _let_802 (MACRO_RESOLUTION_TRUST _let_807 _let_808 (MACRO_RESOLUTION_TRUST _let_769 _let_915 :args (_let_765 false _let_176)) _let_805 _let_804 _let_803 :args ((or _let_797 _let_806) true _let_761 false _let_765 true _let_763 true _let_795 true _let_764)) _let_776 _let_777 _let_820 _let_591 _let_593 (MACRO_RESOLUTION_TRUST _let_773 _let_983 _let_307 _let_306 _let_305 _let_303 _let_982 _let_298 _let_981 _let_895 _let_898 _let_894 _let_980 _let_298 _let_979 _let_776 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_978 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_977)) :args _let_976)) _let_777 (REORDERING (CNF_OR_POS :args (_let_972)) :args ((or _let_969 _let_966 _let_967 (not _let_972)))) _let_819 _let_298 (MACRO_RESOLUTION_TRUST _let_817 _let_906 :args ((not _let_810) true _let_177)) (REORDERING (CNF_OR_POS :args (_let_970)) :args ((or _let_969 _let_966 _let_968 (not _let_970)))) _let_818 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_971 2)) (CONG (REFL :args (_let_971)) (MACRO_SR_PRED_INTRO :args ((= (not _let_966) _let_965))) :args _let_288)) :args ((or _let_965 _let_971))) (CNF_OR_NEG :args (_let_971 0)) _let_905 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_975)) :args _let_975)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_974) _let_460))) (REFL :args ((not _let_971))) :args _let_288)) _let_904 _let_595 _let_903 _let_602 _let_601 _let_600 _let_599 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_697 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_696)) :args _let_695)) _let_902 _let_603 _let_693 _let_596 _let_298 _let_690 _let_298 _let_594 _let_688 :args ((or _let_156 _let_651 _let_155 _let_948 _let_936 _let_973) true _let_311 true _let_41 true _let_43 false _let_45 false _let_46 false tptp.hskp19 false tptp.ndr1_0 true _let_950 true _let_395 true _let_849 false _let_35 false tptp.hskp21 false tptp.ndr1_0 true _let_940 false _let_766 true _let_939 false _let_458 true _let_972 false _let_767 false tptp.ndr1_0 true _let_810 true _let_967 true _let_811 false _let_965 true _let_969 true _let_243 true _let_971 true _let_241 true _let_460 true _let_235 true _let_543 true _let_47 false _let_49 false _let_50 false _let_970 false _let_237 false _let_51 false _let_233 false tptp.hskp18 false tptp.ndr1_0 false _let_656 false tptp.ndr1_0 true _let_542 true _let_654)) _let_675 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_673 :args (tptp.a73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_672)) :args _let_671)) _let_964 (REORDERING (CNF_OR_POS :args (_let_949)) :args ((or _let_13 _let_147 _let_153 (not _let_949)))) _let_961 _let_963 _let_962 _let_960 _let_961 _let_373 _let_961 _let_960 _let_362 _let_478 _let_477 _let_476 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_230 (= X53 X101)))) _let_473 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_958) :args (tptp.a13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X80) false))))) :args _let_958)) _let_957 (REORDERING (AND_ELIM _let_294 :args (82)) :args ((or tptp.hskp9 tptp.hskp11 _let_691 _let_947))) _let_298 _let_829 _let_916 (REORDERING (CNF_OR_POS :args (_let_946)) :args ((or _let_205 _let_187 _let_190 (not _let_946)))) _let_850 _let_830 _let_868 _let_869 _let_862 _let_865 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_556 :args (tptp.a40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_555)) :args _let_554)) _let_860 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_944)) :args ((or _let_92 _let_90 _let_943 _let_955))) (REORDERING (CNF_OR_POS :args (_let_954)) :args ((or _let_90 _let_88 _let_953 (not _let_954)))) (REORDERING (CNF_AND_POS :args (_let_94 3)) :args ((or _let_89 _let_956))) (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_91 _let_956))) (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_93 _let_956))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_343 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_342)) :args _let_341)) (AND_ELIM _let_294 :args (10)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_283 (= X11 X127)))) (REORDERING (AND_ELIM _let_294 :args (66)) :args ((or tptp.hskp10 tptp.hskp13 _let_691 _let_951))) _let_298 (AND_ELIM _let_294 :args (94)) _let_298 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_177 (= X58 X128)))) _let_906 :args ((not _let_952) true _let_177)) _let_404 _let_406 _let_411 _let_518 _let_559 _let_298 _let_822 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X13 X69)))) _let_558 :args ((or _let_219 _let_955) true _let_943 true _let_88 true _let_90 true _let_92 false _let_954 false _let_94 false _let_283 false tptp.hskp10 false tptp.ndr1_0 false (forall ((X127 $$unsorted)) (or (tptp.c2_1 X127) (tptp.c3_1 X127) (not (tptp.c0_1 X127)))) false tptp.ndr1_0 true _let_952 true tptp.hskp13 true _let_74 false _let_137 false _let_138 false _let_506 false tptp.ndr1_0 true tptp.hskp5 true _let_951 true _let_528)) _let_613 _let_612 _let_611 _let_297 _let_609 _let_608 _let_607 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_435 :args (tptp.a18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_434)) :args _let_433)) _let_799 _let_604 :args (_let_508 true _let_311 true _let_41 true _let_43 false _let_45 false _let_46 false tptp.hskp19 false tptp.ndr1_0 true _let_950 true _let_395 true _let_849 false _let_35 false tptp.hskp21 true tptp.hskp12 true _let_81 false _let_737 false _let_736 false _let_797 false _let_766 false _let_458 false _let_767 false _let_165 false _let_541 false _let_156 true _let_651 true _let_650 true _let_155 true _let_949 true _let_13 false _let_15 true _let_154 false _let_16 true _let_13 false _let_149 true _let_13 false _let_16 false _let_229 true _let_130 false _let_132 false _let_133 false _let_230 false _let_134 true _let_948 true _let_936 false _let_947 false tptp.ndr1_0 false tptp.hskp0 true tptp.hskp22 true _let_946 true _let_223 true tptp.hskp11 false _let_189 true _let_838 true _let_86 false _let_210 false _let_945 false _let_846 false _let_219 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp27 true tptp.hskp9 true _let_101 false _let_944 false _let_796 false _let_204)))) (let ((_let_985 (not _let_243))) (let ((_let_986 (_let_985))) (let ((_let_987 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_484 :args (tptp.a73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_775)) :args _let_482)))) (let ((_let_988 (REFL :args (_let_924)))) (let ((_let_989 (not _let_925))) (let ((_let_990 (REORDERING (CNF_OR_POS :args (_let_925)) :args ((or _let_13 _let_147 _let_149 _let_989))))) (let ((_let_991 (MACRO_RESOLUTION_TRUST _let_510 _let_984 :args (_let_507 true _let_157)))) (let ((_let_992 (MACRO_RESOLUTION_TRUST _let_512 _let_991 :args ((not _let_499) true _let_501)))) (let ((_let_993 (not _let_125))) (let ((_let_994 (not _let_939))) (let ((_let_995 (_let_994))) (let ((_let_996 (MACRO_RESOLUTION_TRUST _let_834 _let_835 _let_917 _let_833 _let_832 _let_830 (MACRO_RESOLUTION_TRUST _let_420 _let_298 _let_416 _let_424 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_410 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_409)) :args _let_408)) _let_895 (REORDERING (CNF_OR_POS :args (_let_942)) :args ((or _let_932 _let_929 _let_930 (not _let_942)))) _let_898 (REORDERING (CNF_OR_POS :args (_let_933)) :args ((or _let_932 _let_929 _let_931 (not _let_933)))) _let_894 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_941 2)) (CONG (REFL :args (_let_941)) (MACRO_SR_PRED_INTRO :args ((= (not _let_929) _let_928))) :args _let_288)) :args ((or _let_928 _let_941))) (CNF_OR_NEG :args (_let_941 0)) _let_980 _let_298 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_995)) :args _let_995)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_994) _let_939))) (REFL :args ((not _let_941))) :args _let_288)) _let_979 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_978 :args (tptp.a3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_977)) :args _let_976)) (REORDERING (CNF_OR_POS :args (_let_938)) :args ((or _let_122 _let_120 _let_937 (not _let_938)))) (REORDERING (CNF_AND_POS :args (_let_125 3)) :args ((or _let_121 _let_993))) (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_123 _let_993))) (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_124 _let_993))) (AND_ELIM _let_294 :args (2)) (AND_ELIM _let_294 :args (37)) _let_298 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_318 (= X9 X14)))) _let_882 _let_881 _let_880 _let_879 _let_746 _let_745 _let_744 _let_741 (MACRO_RESOLUTION_TRUST _let_416 _let_420 _let_298 _let_517 _let_424 _let_516 _let_992 (MACRO_RESOLUTION_TRUST _let_511 _let_991 :args ((not _let_500) true _let_501)) _let_895 _let_515 (MACRO_RESOLUTION_TRUST _let_513 _let_991 :args ((not _let_498) true _let_501)) _let_992 _let_898 _let_514 _let_894 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_451 (= Y X84)))) _let_893 (AND_ELIM _let_294 :args (74)) _let_298 :args ((or tptp.hskp11 tptp.hskp12 _let_389) false _let_390 false tptp.ndr1_0 true _let_138 true _let_394 true _let_505 true _let_499 true _let_500 true _let_395 false _let_502 true _let_498 true _let_499 true _let_849 false _let_503 false _let_35 false _let_451 false tptp.hskp21 false (forall ((X84 $$unsorted)) (or (tptp.c1_1 X84) (tptp.c2_1 X84) (tptp.c3_1 X84))) false tptp.ndr1_0)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_414 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_413)) :args _let_412)) _let_957 (REORDERING (CNF_OR_POS :args (_let_935)) :args ((or _let_923 _let_922 _let_934 (not _let_935)))) _let_380 (REORDERING (CNF_OR_POS :args (_let_927)) :args ((or _let_922 _let_920 _let_926 (not _let_927)))) _let_372 _let_963 _let_960 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) _let_990 _let_961 _let_963 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_924 2)) (CONG _let_988 (MACRO_SR_PRED_INTRO :args ((= (not _let_920) _let_919))) :args _let_288)) :args ((or _let_919 _let_924))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_924 1)) (CONG _let_988 (MACRO_SR_PRED_INTRO :args ((= (not _let_922) _let_921))) :args _let_288)) :args ((or _let_921 _let_924))) (CNF_OR_NEG :args (_let_924 0)) _let_486 _let_987 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_986)) :args _let_986)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_985) _let_243))) (REFL :args ((not _let_924))) :args _let_288)) _let_485 _let_298 (MACRO_RESOLUTION_TRUST _let_466 _let_984 :args ((not _let_449) true _let_157)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_457 (= X3 X15)))) _let_777 _let_816 _let_481 _let_820 _let_812 _let_479 _let_478 _let_473 _let_829 _let_916 :args ((or tptp.hskp11 _let_164 _let_163 _let_166) false tptp.ndr1_0 true _let_390 true _let_394 true _let_138 true _let_395 true _let_942 true _let_849 true _let_930 false _let_35 false _let_928 true _let_932 false tptp.hskp21 false tptp.ndr1_0 true _let_941 true _let_940 true _let_939 true _let_938 true _let_120 true _let_122 false _let_124 false _let_125 false tptp.hskp2 false tptp.ndr1_0 true (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (tptp.c1_1 X14) (tptp.c3_1 X14))) true _let_318 true _let_873 true _let_870 false _let_872 true _let_75 true _let_77 true _let_79 false _let_81 false tptp.hskp12 true _let_389 true _let_936 true _let_935 true _let_223 false _let_926 true _let_224 false _let_15 false _let_16 false _let_933 false _let_927 false _let_149 true _let_13 false _let_15 false _let_919 false _let_921 true _let_923 false _let_460 false _let_925 true _let_924 false _let_459 false tptp.ndr1_0 true _let_449 true (forall ((X15 $$unsorted)) (or (tptp.c2_1 X15) (not (tptp.c1_1 X15)) (not (tptp.c3_1 X15)))) false _let_458 true _let_243 true _let_457 false _let_767 true _let_809 true _let_454 true _let_130 false _let_134 false tptp.hskp0 true tptp.hskp22)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_167 2)) (CONG _let_918 (MACRO_SR_PRED_INTRO :args ((= (not _let_163) _let_132))) :args _let_288)) :args ((or _let_132 _let_167))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_167 1)) (CONG _let_918 (MACRO_SR_PRED_INTRO :args ((= (not _let_164) _let_133))) :args _let_288)) :args ((or _let_133 _let_167))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_167 0)) (CONG _let_918 (MACRO_SR_PRED_INTRO :args ((= (not _let_166) _let_165))) :args _let_288)) :args ((or _let_165 _let_167))) _let_836 _let_917 _let_916 _let_172 :args (_let_168 false _let_158 false _let_162 true _let_82 false _let_85 false _let_86 false tptp.hskp11 false _let_132 false _let_133 false _let_165 true _let_167 false _let_162 true tptp.hskp22 false _let_161)))) (let ((_let_997 (MACRO_RESOLUTION_TRUST _let_962 _let_961 _let_960 (MACRO_RESOLUTION_TRUST _let_964 (MACRO_RESOLUTION_TRUST _let_858 _let_984 _let_996 :args (_let_155 true _let_157 true _let_156)) :args (_let_154 false _let_155)) :args (_let_153 true _let_13 false _let_16 false _let_154)))) (let ((_let_998 (MACRO_RESOLUTION_TRUST _let_786 (MACRO_RESOLUTION_TRUST _let_784 _let_960 _let_963 _let_997 :args (_let_152 false _let_16 false _let_15 true _let_149)) :args (_let_151 true _let_150)))) (let ((_let_999 (MACRO_RESOLUTION_TRUST _let_303 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_294 :args (90)) (MACRO_RESOLUTION_TRUST _let_603 (MACRO_RESOLUTION_TRUST _let_602 (MACRO_RESOLUTION_TRUST _let_595 (MACRO_RESOLUTION_TRUST _let_857 _let_298 _let_984 _let_996 :args (_let_460 false tptp.ndr1_0 true _let_157 true _let_156)) :args (_let_543 false _let_460)) :args (_let_598 false _let_543)) :args (_let_52 true _let_51)) _let_298 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X83 X121)))) _let_998 :args ((not _let_145) true _let_146)) :args (tptp.hskp19 true tptp.hskp18 false tptp.ndr1_0 true _let_145)) :args (_let_46 false tptp.hskp19)))) (let ((_let_1000 (not _let_60))) (let ((_let_1001 (not _let_61))) (let ((_let_1002 (or _let_58 _let_1001 _let_1000))) (let ((_let_1003 (not _let_62))) (let ((_let_1004 (not _let_1002))) (let ((_let_1005 (forall ((X26 $$unsorted)) (or (tptp.c0_1 X26) (tptp.c1_1 X26) (not (tptp.c3_1 X26)))))) (let ((_let_1006 (forall ((X122 $$unsorted)) (or (tptp.c1_1 X122) (not (tptp.c0_1 X122)) (not (tptp.c2_1 X122)))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_411 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_138 (= X21 X26)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_294 :args (43)) _let_298 (MACRO_RESOLUTION_TRUST _let_895 (MACRO_RESOLUTION_TRUST _let_898 (MACRO_RESOLUTION_TRUST _let_894 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_294 :args (91)) (MACRO_RESOLUTION_TRUST _let_830 (MACRO_RESOLUTION_TRUST _let_862 (MACRO_RESOLUTION_TRUST _let_860 (MACRO_RESOLUTION_TRUST _let_859 _let_984 _let_998 (MACRO_RESOLUTION_TRUST _let_826 _let_915 :args (_let_203 false _let_176)) :args (_let_219 true _let_157 true _let_146 false _let_203)) :args (_let_846 false _let_219)) :args (_let_831 false _let_846)) :args (_let_87 true _let_86)) _let_298 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X83 X122)))) _let_998 :args ((not _let_1006) true _let_146)) :args (tptp.hskp21 true tptp.hskp11 false tptp.ndr1_0 true _let_1006)) :args (_let_35 false tptp.hskp21)) :args (_let_896 false _let_35)) :args ((not _let_395) true _let_849)) (MACRO_RESOLUTION_TRUST _let_987 (MACRO_RESOLUTION_TRUST _let_990 _let_961 _let_963 _let_997 :args (_let_989 true _let_13 false _let_15 true _let_149)) :args ((not _let_458) true _let_925)) :args (_let_1005 false tptp.ndr1_0 true _let_395 true _let_458)) :args (_let_138 false _let_1005)) (MACRO_RESOLUTION_TRUST _let_406 (MACRO_RESOLUTION_TRUST _let_404 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_294 :args (62)) :args ((or tptp.hskp13 tptp.hskp15 _let_691 _let_140))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_294 :args (15)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_1002)) :args ((or _let_58 _let_1001 _let_1000 _let_1004))) (REORDERING (CNF_AND_POS :args (_let_62 3)) :args ((or _let_59 _let_1003))) (REORDERING (CNF_AND_POS :args (_let_62 2)) :args ((or _let_60 _let_1003))) (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_61 _let_1003))) :args ((or _let_1003 _let_1004) true _let_58 false _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_697 :args (tptp.a28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_696)) :args _let_695)) (MACRO_RESOLUTION_TRUST _let_901 (MACRO_RESOLUTION_TRUST _let_900 _let_916 _let_298 (MACRO_RESOLUTION_TRUST _let_899 (MACRO_RESOLUTION_TRUST _let_362 (MACRO_RESOLUTION_TRUST _let_373 _let_961 _let_960 _let_997 :args (_let_370 true _let_13 false _let_16 true _let_149)) :args (_let_888 true _let_229)) :args ((not _let_231) true _let_230)) :args (_let_232 true tptp.hskp22 false tptp.ndr1_0 true _let_231)) :args (_let_233 false _let_232)) :args (_let_1002 false _let_233)) :args (_let_1003 false _let_1002)) :args (_let_63 true _let_62)) _let_298 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_141 (= X61 X64)))) (MACRO_RESOLUTION_TRUST _let_310 (MACRO_RESOLUTION_TRUST _let_308 (MACRO_RESOLUTION_TRUST _let_306 _let_999 :args (_let_44 false _let_46)) (MACRO_RESOLUTION_TRUST _let_307 _let_999 :args (_let_42 false _let_46)) (MACRO_RESOLUTION_TRUST _let_305 _let_999 :args (_let_45 false _let_46)) :args (_let_144 true _let_43 true _let_41 false _let_45)) :args ((not _let_141) true _let_143)) :args ((not _let_140) true _let_141)) :args (tptp.hskp13 true tptp.hskp15 false tptp.ndr1_0 true _let_140)) :args (_let_74 false tptp.hskp13)) :args (_let_139 false _let_74)) :args (false false _let_138 true _let_137)) :args (_let_135 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.52/0.75  )
% 0.52/0.75  % SZS output end Proof for SYN500+1
% 0.52/0.75  % cvc5---1.0.5 exiting
% 0.52/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------