TSTP Solution File: SYN483+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN483+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:34 EDT 2023

% Result   : Theorem 0.23s 0.75s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN483+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n014.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat Aug 26 18:41:32 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.75  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fhFdn6Ild1/cvc5---1.0.5_18499.p...
% 0.23/0.75  ------- get file name : TPTP file name is SYN483+1
% 0.23/0.75  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18499.smt2...
% 0.23/0.75  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.75  % SZS status Theorem for SYN483+1
% 0.23/0.75  % SZS output start Proof for SYN483+1
% 0.23/0.75  (
% 0.23/0.75  (let ((_let_1 (and tptp.ndr1_0 (tptp.c0_1 tptp.a1885) (tptp.c1_1 tptp.a1885) (tptp.c2_1 tptp.a1885)))) (let ((_let_2 (tptp.c3_1 tptp.a1877))) (let ((_let_3 (tptp.c2_1 tptp.a1877))) (let ((_let_4 (tptp.c0_1 tptp.a1877))) (let ((_let_5 (and tptp.ndr1_0 _let_4 _let_3 _let_2))) (let ((_let_6 (tptp.c3_1 tptp.a1858))) (let ((_let_7 (tptp.c1_1 tptp.a1858))) (let ((_let_8 (tptp.c0_1 tptp.a1858))) (let ((_let_9 (and tptp.ndr1_0 _let_8 _let_7 _let_6))) (let ((_let_10 (tptp.c0_1 tptp.a1960))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c2_1 tptp.a1960))) (let ((_let_13 (tptp.c1_1 tptp.a1960))) (let ((_let_14 (and tptp.ndr1_0 _let_13 _let_12 _let_11))) (let ((_let_15 (tptp.c2_1 tptp.a1919))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c1_1 tptp.a1919))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c3_1 tptp.a1919))) (let ((_let_20 (and tptp.ndr1_0 _let_19 _let_18 _let_16))) (let ((_let_21 (tptp.c3_1 tptp.a1899))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.c2_1 tptp.a1899))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c0_1 tptp.a1899))) (let ((_let_26 (and tptp.ndr1_0 _let_25 _let_24 _let_22))) (let ((_let_27 (tptp.c1_1 tptp.a1898))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c0_1 tptp.a1898))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c3_1 tptp.a1898))) (let ((_let_32 (and tptp.ndr1_0 _let_31 _let_30 _let_28))) (let ((_let_33 (tptp.c3_1 tptp.a1875))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c1_1 tptp.a1875))) (let ((_let_36 (tptp.c0_1 tptp.a1875))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_34))) (let ((_let_38 (tptp.c1_1 tptp.a1874))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c2_1 tptp.a1874))) (let ((_let_41 (tptp.c0_1 tptp.a1874))) (let ((_let_42 (and tptp.ndr1_0 _let_41 _let_40 _let_39))) (let ((_let_43 (tptp.c0_1 tptp.a1872))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.c3_1 tptp.a1872))) (let ((_let_46 (tptp.c2_1 tptp.a1872))) (let ((_let_47 (and tptp.ndr1_0 _let_46 _let_45 _let_44))) (let ((_let_48 (tptp.c3_1 tptp.a1870))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.c0_1 tptp.a1870))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c1_1 tptp.a1870))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_49))) (let ((_let_54 (tptp.c3_1 tptp.a1867))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c2_1 tptp.a1867))) (let ((_let_57 (not _let_56))) (let ((_let_58 (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a1867)) _let_57 _let_55))) (let ((_let_59 (tptp.c3_1 tptp.a1865))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c2_1 tptp.a1865))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c0_1 tptp.a1865))) (let ((_let_64 (not _let_63))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_62 _let_60))) (let ((_let_66 (tptp.c1_1 tptp.a1864))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c3_1 tptp.a1864))) (let ((_let_69 (tptp.c0_1 tptp.a1864))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_67))) (let ((_let_71 (not tptp.hskp10))) (let ((_let_72 (tptp.c3_1 tptp.a1863))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c1_1 tptp.a1863))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.c2_1 tptp.a1863))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_75 _let_73))) (let ((_let_78 (tptp.c2_1 tptp.a1862))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c1_1 tptp.a1862))) (let ((_let_81 (tptp.c0_1 tptp.a1862))) (let ((_let_82 (and tptp.ndr1_0 _let_81 _let_80 _let_79))) (let ((_let_83 (tptp.c2_1 tptp.a1860))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c0_1 tptp.a1860))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c1_1 tptp.a1860))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_84))) (let ((_let_89 (tptp.c3_1 tptp.a1857))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.c0_1 tptp.a1857))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c2_1 tptp.a1857))) (let ((_let_94 (and tptp.ndr1_0 _let_93 _let_92 _let_90))) (let ((_let_95 (tptp.c2_1 tptp.a1855))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c1_1 tptp.a1855))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c0_1 tptp.a1855))) (let ((_let_100 (not _let_99))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_98 _let_96))) (let ((_let_102 (tptp.c0_1 tptp.a1853))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c3_1 tptp.a1853))) (let ((_let_105 (tptp.c1_1 tptp.a1853))) (let ((_let_106 (and tptp.ndr1_0 _let_105 _let_104 _let_103))) (let ((_let_107 (tptp.c2_1 tptp.a1852))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.c3_1 tptp.a1852))) (let ((_let_110 (tptp.c1_1 tptp.a1852))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_108))) (let ((_let_112 (not (not (and (or (not tptp.hskp0) _let_111) (or (not tptp.hskp1) _let_106) (or (not tptp.hskp2) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1854) (tptp.c2_1 tptp.a1854) (not (tptp.c3_1 tptp.a1854)))) (or (not tptp.hskp3) _let_101) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1856) (tptp.c3_1 tptp.a1856) (not (tptp.c1_1 tptp.a1856)))) (or (not tptp.hskp5) _let_94) (or (not tptp.hskp6) _let_88) (or (not tptp.hskp7) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1861) (not (tptp.c1_1 tptp.a1861)) (not (tptp.c2_1 tptp.a1861)))) (or (not tptp.hskp8) _let_82) (or (not tptp.hskp9) _let_77) (or _let_71 _let_70) (or (not tptp.hskp11) _let_65) (or (not tptp.hskp12) (and tptp.ndr1_0 (tptp.c3_1 tptp.a1866) (not (tptp.c0_1 tptp.a1866)) (not (tptp.c2_1 tptp.a1866)))) (or (not tptp.hskp13) _let_58) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1868) (tptp.c3_1 tptp.a1868) (not (tptp.c2_1 tptp.a1868)))) (or (not tptp.hskp15) _let_53) (or (not tptp.hskp16) _let_47) (or (not tptp.hskp17) _let_42) (or (not tptp.hskp18) _let_37) (or (not tptp.hskp19) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a1884)) (not (tptp.c1_1 tptp.a1884)) (not (tptp.c3_1 tptp.a1884)))) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c2_1 tptp.a1890) (not (tptp.c0_1 tptp.a1890)) (not (tptp.c1_1 tptp.a1890)))) (or (not tptp.hskp21) _let_32) (or (not tptp.hskp22) _let_26) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c0_1 tptp.a1911) (not (tptp.c1_1 tptp.a1911)) (not (tptp.c3_1 tptp.a1911)))) (or (not tptp.hskp24) _let_20) (or (not tptp.hskp25) _let_14) (or (not tptp.hskp26) _let_9) (or (not tptp.hskp27) _let_5) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c1_1 tptp.a1878) (tptp.c2_1 tptp.a1878) (tptp.c3_1 tptp.a1878))) (or (not tptp.hskp29) _let_1) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V))))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (not (tptp.c1_1 X)) (not (tptp.c2_1 X))))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c2_1 Y)))))) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (not (tptp.c1_1 X1)) (not (tptp.c2_1 X1))))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X2) (not (tptp.c0_1 X2)) (not (tptp.c3_1 X2)))))) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c2_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X4) (tptp.c2_1 X4) (not (tptp.c3_1 X4))))) tptp.hskp1) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c2_1 X5)))) tptp.hskp2 tptp.hskp3) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c2_1 X6)))) tptp.hskp4 tptp.hskp5) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (tptp.c3_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X8) (tptp.c2_1 X8) (tptp.c3_1 X8)))) tptp.hskp26) (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.c2_1 X10) (tptp.c3_1 X10) (not (tptp.c0_1 X10))))) tptp.hskp3) (or (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (tptp.c1_1 X11) (tptp.c3_1 X11)))) (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X12)) (not (tptp.c1_1 X12)) (not (tptp.c2_1 X12))))) tptp.hskp6) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (tptp.c3_1 X13)))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X14)) (not (tptp.c2_1 X14)) (not (tptp.c3_1 X14))))) tptp.hskp7) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp8 tptp.hskp9) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c2_1 X16))))) tptp.hskp10 tptp.hskp11) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17))))) tptp.hskp12 tptp.hskp13) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18))))) tptp.hskp14 tptp.hskp4) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c1_1 X19) (not (tptp.c3_1 X19))))) tptp.hskp15 tptp.hskp3) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c3_1 X20))))) tptp.hskp16 tptp.hskp13) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (tptp.c3_1 X21)))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c3_1 X22))))) tptp.hskp17) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (tptp.c3_1 X23)))) tptp.hskp18 tptp.hskp17) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) tptp.hskp27 tptp.hskp28) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c1_1 X26))))) tptp.hskp3) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X28)) (not (tptp.c2_1 X28)) (not (tptp.c3_1 X28))))) tptp.hskp8) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c1_1 X29))))) tptp.hskp1 tptp.hskp9) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X31) (not (tptp.c2_1 X31)) (not (tptp.c3_1 X31))))) tptp.hskp11) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c3_1 X32) (not (tptp.c1_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X33) (not (tptp.c1_1 X33)) (not (tptp.c2_1 X33))))) tptp.hskp19) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34))))) tptp.hskp29 tptp.hskp26) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c3_1 X35) (not (tptp.c2_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X36) (tptp.c2_1 X36) (not (tptp.c0_1 X36))))) tptp.hskp27) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c2_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (tptp.c2_1 X38) (not (tptp.c3_1 X38))))) tptp.hskp8) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (not (tptp.c1_1 X39)) (not (tptp.c2_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X40)) (not (tptp.c1_1 X40)) (not (tptp.c2_1 X40))))) tptp.hskp29) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (not (tptp.c1_1 X41)) (not (tptp.c2_1 X41))))) tptp.hskp20 tptp.hskp19) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (not (tptp.c1_1 X42)) (not (tptp.c3_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X43) (tptp.c3_1 X43) (not (tptp.c2_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c2_1 X44)))))) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c1_1 X45)) (not (tptp.c3_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c1_1 X46))))) tptp.hskp16) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (tptp.c3_1 X48) (not (tptp.c0_1 X48))))) tptp.hskp15) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (not (tptp.c2_1 X49)) (not (tptp.c3_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (tptp.c3_1 X50) (not (tptp.c2_1 X50))))) tptp.hskp27) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c2_1 X51)) (not (tptp.c3_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c3_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53)))))) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X54) (not (tptp.c2_1 X54)) (not (tptp.c3_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X56) (tptp.c3_1 X56) (not (tptp.c1_1 X56)))))) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c2_1 X57)) (not (tptp.c3_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c1_1 X58))))) tptp.hskp27) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (tptp.c3_1 X59)))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X61) (tptp.c3_1 X61) (not (tptp.c1_1 X61)))))) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c2_1 X62) (tptp.c3_1 X62)))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X63) (tptp.c3_1 X63) (not (tptp.c1_1 X63))))) tptp.hskp9) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (tptp.c2_1 X64) (tptp.c3_1 X64)))) tptp.hskp8 tptp.hskp21) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (tptp.c3_1 X65)))) tptp.hskp22 tptp.hskp16) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c0_1 X66))))) tptp.hskp26 tptp.hskp27) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c2_1 X67) (not (tptp.c3_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X68) (tptp.c3_1 X68) (not (tptp.c0_1 X68))))) tptp.hskp9) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (not (tptp.c3_1 X69))))) tptp.hskp29 tptp.hskp20) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (tptp.c2_1 X70) (not (tptp.c3_1 X70))))) tptp.hskp9 tptp.hskp13) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c3_1 X71) (not (tptp.c0_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X72) (not (tptp.c1_1 X72)) (not (tptp.c3_1 X72))))) tptp.hskp5) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c3_1 X73) (not (tptp.c0_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X74)) (not (tptp.c1_1 X74)) (not (tptp.c2_1 X74))))) tptp.hskp21) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c3_1 X75) (not (tptp.c2_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77)) (not (tptp.c2_1 X77)))))) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c2_1 X78))))) tptp.hskp8 tptp.hskp23) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c2_1 X79))))) tptp.hskp8 tptp.hskp18) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp26 tptp.hskp23) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (not (tptp.c0_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp7 tptp.hskp1) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82))))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c1_1 X83))))) tptp.hskp18) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c0_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X85) (not (tptp.c1_1 X85)) (not (tptp.c3_1 X85))))) (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c3_1 X86)))))) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X87) (tptp.c3_1 X87) (not (tptp.c0_1 X87))))) (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X88)) (not (tptp.c2_1 X88)) (not (tptp.c3_1 X88))))) tptp.hskp24) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X89) (tptp.c3_1 X89) (not (tptp.c1_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c1_1 X90))))) (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X91) (not (tptp.c0_1 X91)) (not (tptp.c1_1 X91)))))) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (tptp.c3_1 X92) (not (tptp.c1_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X93)) (not (tptp.c1_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp20) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (tptp.c3_1 X94) (not (tptp.c1_1 X94))))) tptp.hskp17 tptp.hskp15) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (tptp.c3_1 X95) (not (tptp.c1_1 X95))))) tptp.hskp15 tptp.hskp9) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X97)) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp10) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X98) (not (tptp.c0_1 X98)) (not (tptp.c1_1 X98))))) tptp.hskp26 tptp.hskp10) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X99) (not (tptp.c0_1 X99)) (not (tptp.c3_1 X99))))) tptp.hskp27 tptp.hskp22) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c3_1 X100))))) (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X101)) (not (tptp.c2_1 X101)) (not (tptp.c3_1 X101))))) tptp.hskp16) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X102) (not (tptp.c1_1 X102)) (not (tptp.c3_1 X102))))) tptp.hskp14 tptp.hskp19) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X103)) (not (tptp.c1_1 X103)) (not (tptp.c2_1 X103))))) tptp.hskp26 tptp.hskp3) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X104)) (not (tptp.c1_1 X104)) (not (tptp.c2_1 X104))))) tptp.hskp0 tptp.hskp24) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X105)) (not (tptp.c2_1 X105)) (not (tptp.c3_1 X105))))) tptp.hskp28 tptp.hskp0) (or tptp.hskp29 tptp.hskp27 tptp.hskp1) (or tptp.hskp8 tptp.hskp17 tptp.hskp16) (or tptp.hskp8 tptp.hskp10 tptp.hskp24) (or tptp.hskp18 tptp.hskp10 tptp.hskp15) (or tptp.hskp18 tptp.hskp22 tptp.hskp12) (or tptp.hskp18 tptp.hskp1 tptp.hskp6) (or tptp.hskp10 tptp.hskp28 tptp.hskp0) (or tptp.hskp25 tptp.hskp6 tptp.hskp5) (or tptp.hskp25 tptp.hskp9 tptp.hskp24) (or tptp.hskp15 tptp.hskp4 tptp.hskp19)))))) (let ((_let_113 (not _let_40))) (let ((_let_114 (tptp.c3_1 tptp.a1874))) (let ((_let_115 (or _let_38 _let_114 _let_113))) (let ((_let_116 (forall ((X22 $$unsorted)) (or (tptp.c0_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c3_1 X22)))))) (let ((_let_117 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (tptp.c3_1 X21))))) (let ((_let_118 (not _let_104))) (let ((_let_119 (not _let_105))) (let ((_let_120 (or _let_102 _let_119 _let_118))) (let ((_let_121 (not _let_120))) (let ((_let_122 (forall ((X4 $$unsorted)) (or (tptp.c1_1 X4) (tptp.c2_1 X4) (not (tptp.c3_1 X4)))))) (let ((_let_123 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c2_1 X3))))) (let ((_let_124 (tptp.c3_1 tptp.a1855))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_97 _let_95 _let_125))) (let ((_let_127 (not _let_68))) (let ((_let_128 (tptp.c2_1 tptp.a1864))) (let ((_let_129 (or _let_66 _let_128 _let_127))) (let ((_let_130 (not _let_19))) (let ((_let_131 (or _let_17 _let_15 _let_130))) (let ((_let_132 (forall ((X104 $$unsorted)) (or (not (tptp.c0_1 X104)) (not (tptp.c1_1 X104)) (not (tptp.c2_1 X104)))))) (let ((_let_133 (not _let_109))) (let ((_let_134 (not _let_110))) (let ((_let_135 (or _let_107 _let_134 _let_133))) (let ((_let_136 (forall ((X53 $$unsorted)) (or (tptp.c2_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53)))))) (let ((_let_137 (forall ((X85 $$unsorted)) (or (tptp.c2_1 X85) (not (tptp.c1_1 X85)) (not (tptp.c3_1 X85)))))) (let ((_let_138 (forall ((X100 $$unsorted)) (or (tptp.c2_1 X100) (not (tptp.c1_1 X100)) (not (tptp.c3_1 X100)))))) (let ((_let_139 (forall ((X58 $$unsorted)) (or (tptp.c3_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c1_1 X58)))))) (let ((_let_140 (forall ((X91 $$unsorted)) (or (tptp.c3_1 X91) (not (tptp.c0_1 X91)) (not (tptp.c1_1 X91)))))) (let ((_let_141 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_144 (not _let_143))) (let ((_let_145 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_146 (or _let_145 _let_144 _let_142))) (let ((_let_147 (forall ((X90 $$unsorted)) (or (tptp.c2_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c1_1 X90)))))) (let ((_let_148 (forall ((X89 $$unsorted)) (or (tptp.c2_1 X89) (tptp.c3_1 X89) (not (tptp.c1_1 X89)))))) (let ((_let_149 (forall ((X56 $$unsorted)) (or (tptp.c2_1 X56) (tptp.c3_1 X56) (not (tptp.c1_1 X56)))))) (let ((_let_150 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_144 _let_142 _let_151))) (let ((_let_153 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_154 (not _let_153))) (let ((_let_155 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_156 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_157 (or _let_156 _let_155 _let_154))) (let ((_let_158 (or _let_145 _let_144 _let_151))) (let ((_let_159 (forall ((X44 $$unsorted)) (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c2_1 X44)))))) (let ((_let_160 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25)))))) (let ((_let_161 (tptp.c0_1 tptp.a1852))) (let ((_let_162 (or _let_161 _let_107 _let_134))) (let ((_let_163 (not _let_87))) (let ((_let_164 (or _let_85 _let_83 _let_163))) (let ((_let_165 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_166 (not _let_165))) (let ((_let_167 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_168 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_169 (or _let_168 _let_167 _let_166))) (let ((_let_170 (not _let_161))) (let ((_let_171 (or _let_170 _let_134 _let_133))) (let ((_let_172 (forall ((X86 $$unsorted)) (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c3_1 X86)))))) (let ((_let_173 (forall ((X84 $$unsorted)) (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c0_1 X84)))))) (let ((_let_174 (forall ((X10 $$unsorted)) (or (tptp.c2_1 X10) (tptp.c3_1 X10) (not (tptp.c0_1 X10)))))) (let 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:args (_let_106 2)) :args ((or _let_104 _let_330))))) (let ((_let_706 (REORDERING (CNF_AND_POS :args (_let_106 3)) :args ((or _let_103 _let_330))))) (let ((_let_707 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_630)) :args ((or _let_102 _let_119 _let_629 _let_703))) (REORDERING (CNF_OR_POS :args (_let_632)) :args ((or _let_119 _let_118 _let_628 _let_702))) _let_706 _let_705 _let_704 :args ((or _let_330 _let_703 _let_702) false _let_628 true _let_102 false _let_104 false _let_105)))) (let ((_let_708 (AND_ELIM _let_243 :args (33)))) (let ((_let_709 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= U X3)))))) (let ((_let_710 (MACRO_RESOLUTION_TRUST _let_473 _let_471 _let_470 _let_469 :args ((or _let_468 _let_472) true _let_95 true _let_97 true _let_99)))) (let ((_let_711 (MACRO_RESOLUTION_TRUST _let_617 _let_616 _let_615 _let_614 _let_613 _let_623 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_620 :args (tptp.a1870 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_619)) :args _let_618)) (REORDERING (CNF_OR_POS :args (_let_649)) :args ((or _let_50 _let_48 _let_359 (not _let_649)))) (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_50 _let_360 _let_358 (not _let_642)))) _let_463 (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_51 _let_461))) _let_462 _let_464 _let_466 _let_334 _let_467 _let_710 _let_477 _let_709 _let_708 _let_334 _let_332 _let_707 _let_610 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_701)) :args _let_701)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_700) _let_600))) (REFL :args ((not _let_648))) :args _let_279)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_640)) :args ((or _let_639 _let_638 _let_637 _let_699))) (REORDERING (CNF_OR_POS :args (_let_647)) :args ((or _let_639 _let_638 _let_636 _let_698))) (CNF_OR_NEG :args (_let_648 2)) (CNF_OR_NEG :args (_let_648 1)) :args ((or _let_648 _let_699 _let_698) false _let_636 true _let_638 true _let_639)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_697) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X8) true))))) :args _let_697)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_646 (= X8 X65)))) (REORDERING (AND_ELIM _let_243 :args (69)) :args ((or tptp.hskp16 tptp.hskp22 _let_465 _let_645))) _let_334 _let_478 _let_696 _let_695 _let_694 _let_687 _let_450 _let_683 _let_653 _let_682 _let_334 _let_654 _let_334 _let_655 _let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (tptp.a1870 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_575)) :args _let_574)) _let_573 _let_572 _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) (REORDERING (CNF_OR_POS :args (_let_641)) :args ((or _let_494 _let_492 _let_499 (not _let_641)))) _let_680 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_592)) :args _let_569)) _let_679 _let_662 _let_568 _let_565 _let_334 _let_557 _let_262 _let_301 _let_305 _let_310 _let_458 _let_334 _let_456 _let_562 _let_457 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_448 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_447)) :args _let_446)) _let_678 (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_199 _let_196 _let_221 (not _let_633)))) _let_676 _let_675 _let_674 _let_673 _let_671 _let_670 _let_627 _let_379 _let_427 _let_334 (REORDERING (EQUIV_ELIM1 _let_377) :args ((or _let_194 _let_625))) _let_543 _let_278 _let_282 _let_490 _let_489 _let_487 _let_669 _let_668 _let_667 _let_665 _let_663 _let_651 _let_435 _let_650 _let_524 _let_431 _let_430 _let_334 _let_429 :args ((or tptp.hskp8 _let_122 _let_194 _let_201) false _let_506 false _let_504 true _let_601 true _let_508 true _let_604 true _let_605 true _let_649 false _let_358 true _let_48 true _let_50 false _let_52 false _let_53 false tptp.hskp15 false tptp.ndr1_0 true tptp.hskp3 true _let_101 false _let_296 false _let_213 false _let_123 false tptp.ndr1_0 true tptp.hskp1 true _let_106 false _let_602 false _let_600 false _let_648 false _let_647 false _let_646 false _let_645 false tptp.ndr1_0 true tptp.hskp16 true _let_47 true tptp.hskp22 true _let_26 false _let_179 false _let_353 false _let_174 false _let_357 false _let_644 false tptp.ndr1_0 false _let_643 false tptp.ndr1_0 true tptp.hskp9 true _let_77 false _let_642 false _let_160 false _let_518 false tptp.ndr1_0 true _let_188 true _let_641 false _let_498 false _let_640 false _let_501 false _let_635 false _let_294 false _let_502 false tptp.ndr1_0 true _let_497 true _let_245 true _let_152 false _let_150 false _let_298 false _let_149 false tptp.ndr1_0 true _let_362 true _let_503 true _let_363 true _let_356 true _let_227 true _let_633 true _let_225 true _let_221 false _let_195 false _let_197 true _let_199 false _let_632 true _let_200 true _let_342 false _let_136 false tptp.ndr1_0 true _let_193 false _let_530 true _let_145 false _let_143 false _let_141 true _let_146 true _let_139 true _let_495 false _let_491 false _let_493 true _let_496 true _let_321 true _let_631 false _let_347 false _let_630 false _let_509 false _let_204 false _let_344 false tptp.ndr1_0 true _let_343)))) (let ((_let_712 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (tptp.a1874 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)))) (let ((_let_713 (REORDERING (CNF_OR_POS :args (_let_541)) :args ((or _let_38 _let_322 _let_522 (not _let_541)))))) (let ((_let_714 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_149 (= X56 X89)))))) (let ((_let_715 (AND_ELIM _let_243 :args (84)))) (let ((_let_716 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_297 (= X26 X90)))))) (let ((_let_717 (_let_297))) (let ((_let_718 ((not (= (tptp.c2_1 X26) true))))) (let ((_let_719 (ASSUME :args _let_717))) (let ((_let_720 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X26) false))))) :args _let_717)))) (let ((_let_721 (REORDERING (CNF_OR_POS :args (_let_313)) :args ((or _let_144 _let_142 _let_150 (not _let_313)))))) (let ((_let_722 (not _let_516))) (let ((_let_723 (not _let_521))) (let ((_let_724 (not _let_9))) (let ((_let_725 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a1853 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)))) (let ((_let_726 (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_102 _let_119 _let_118 _let_121))))) (let ((_let_727 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_188 (= X28 X101)))))) (let ((_let_728 (AND_ELIM _let_243 :args (91)))) (let ((_let_729 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_136 (= X53 X100)))))) (let ((_let_730 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_686 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X10) true))))) :args _let_684)))) (let ((_let_731 (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_145 _let_144 _let_150 (not _let_289)))))) (let ((_let_732 (MACRO_RESOLUTION_TRUST _let_408 _let_409 _let_334 _let_262 _let_410 _let_301 _let_416 _let_731 _let_422 _let_730 _let_729 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X10 X87)))) _let_728 _let_334 (AND_ELIM _let_243 :args (83)) _let_334 _let_727 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_188 (= X28 X88)))) _let_244 _let_398 _let_242 _let_393 _let_235 (MACRO_RESOLUTION_TRUST _let_726 _let_706 _let_705 _let_704 _let_332 _let_708 _let_334 _let_709 _let_725 _let_477 _let_595 _let_710 _let_594 _let_334 _let_467 _let_593 (REORDERING (AND_ELIM _let_243 :args (93)) :args ((or tptp.hskp3 tptp.hskp26 _let_465 _let_517))) _let_334 _let_591 (AND_ELIM _let_243 :args (26)) (REORDERING (CNF_OR_POS :args (_let_523)) :args ((or _let_322 _let_113 _let_522 (not _let_523)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_521)) :args ((or _let_514 _let_519 _let_520 _let_723))) (REORDERING (CNF_OR_POS :args (_let_516)) :args ((or _let_514 _let_513 _let_515 _let_722))) (REORDERING (CNF_AND_POS :args (_let_9 3)) :args ((or _let_6 _let_724))) (REORDERING (CNF_AND_POS :args (_let_9 2)) :args ((or _let_7 _let_724))) (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_724))) :args ((or _let_724 _let_723 _let_722) false _let_515 false _let_6 false _let_7 false _let_8)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a1874 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a1858 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) _let_572 _let_334 _let_573 _let_577 _let_583 _let_584 _let_624 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X12 X103)))) _let_556 _let_262 _let_552 _let_301 _let_721 _let_720 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (tptp.a1858 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_718)) :args _let_717)) _let_716 _let_715 _let_334 _let_714 (MACRO_RESOLUTION_TRUST _let_568 _let_565 _let_334 _let_593 _let_562 _let_591 _let_678 _let_713 _let_676 _let_675 _let_712 _let_557 _let_674 _let_673 _let_671 _let_711 _let_262 _let_627 _let_378 _let_301 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_375 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_374)) :args _let_373)) _let_305 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_545)) :args ((or _let_83 _let_163 _let_544 (not _let_545)))) (REORDERING (CNF_OR_POS :args (_let_548)) :args ((or _let_85 _let_163 _let_547 (not _let_548)))) _let_582 _let_581 _let_580 _let_584 _let_624 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (tptp.a1860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)) _let_595 _let_594 _let_334 _let_593 _let_591 (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_38 _let_113 _let_522 (not _let_546)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_453 :args (tptp.a1874 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_452)) :args _let_451)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_534)) :args ((or _let_91 _let_531 _let_533 _let_551))) (REORDERING (CNF_OR_POS :args (_let_561)) :args ((or _let_89 _let_531 _let_532 (not _let_561)))) _let_590 _let_589 _let_588 _let_586 _let_585 _let_584 _let_583 _let_577 _let_573 _let_572 _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (tptp.a1857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)) _let_568 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_560)) :args ((or _let_538 _let_536 _let_559 _let_566))) (REORDERING (CNF_OR_POS :args (_let_540)) :args ((or _let_538 _let_536 _let_539 _let_550))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_558 2)) (CONG _let_567 (MACRO_SR_PRED_INTRO :args ((= (not _let_536) _let_535))) :args _let_279)) :args ((or _let_535 _let_558))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_558 1)) (CONG _let_567 (MACRO_SR_PRED_INTRO :args ((= (not _let_538) _let_537))) :args _let_279)) :args ((or _let_537 _let_558))) :args ((or _let_558 _let_550 _let_566) false _let_539 false _let_535 false _let_537)) _let_565 _let_334 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_564)) :args _let_564)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_563) _let_227))) (REFL :args ((not _let_558))) :args _let_279)) _let_562 :args ((or tptp.hskp8 tptp.hskp25 _let_227 _let_497 _let_551 _let_550) false _let_532 true _let_89 true _let_91 false _let_93 false _let_94 false tptp.hskp5 true tptp.hskp6 true _let_88 false _let_164 false _let_160 false _let_518 false tptp.ndr1_0 false _let_561 true _let_188 false _let_294 true _let_560 false _let_502 false tptp.ndr1_0 true _let_558 true _let_503)) _let_557 _let_556 _let_262 _let_552 _let_301 _let_305 _let_310 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_309 :args (tptp.a1860 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_308)) :args _let_307)) _let_490 _let_278 _let_282 _let_489 _let_487 :args ((or tptp.hskp8 tptp.hskp25 _let_38 _let_113 _let_542 _let_551 _let_550 _let_549) true _let_544 true _let_83 true _let_85 false _let_87 false _let_88 false tptp.hskp6 false _let_548 false _let_116 false _let_295 false tptp.ndr1_0 true _let_294 true _let_115 true _let_114 false _let_546 false _let_227 true _let_497 true _let_159 true _let_245 true _let_158 true _let_152 false _let_150 false _let_298 false _let_545 false _let_141 true _let_145 false _let_143 true _let_146 true _let_139)) _let_310 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.a1857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_432)) _let_529 _let_528 _let_525 _let_524 _let_278 _let_282 _let_490 _let_489 _let_487 _let_543 _let_431 _let_430 _let_334 _let_429 :args ((or tptp.hskp8 _let_38 _let_122 _let_322 _let_113 _let_542) false _let_502 false tptp.ndr1_0 true _let_294 true _let_503 true _let_115 true _let_227 true _let_114 true _let_225 true _let_221 false _let_541 true _let_497 false _let_195 false _let_197 true _let_199 false _let_201 true _let_245 true _let_200 true _let_194 true _let_152 true _let_193 false _let_150 true _let_540 false _let_298 false _let_534 true tptp.hskp25 true _let_14 false _let_512 false _let_509 true _let_145 false _let_143 false _let_141 true _let_146 true _let_139 false _let_530 false _let_204 false _let_344 false tptp.ndr1_0 true _let_343)) _let_529 _let_528 _let_525 _let_524 _let_431 _let_430 _let_334 _let_429 _let_306 _let_490 _let_278 _let_282 _let_489 _let_487 :args ((or tptp.hskp8 _let_38 _let_122 _let_322 _let_113) true _let_102 false _let_104 false _let_105 false _let_106 false tptp.hskp1 false tptp.ndr1_0 true _let_123 false _let_120 true _let_213 false _let_116 true _let_296 false _let_295 false tptp.ndr1_0 false _let_101 true _let_294 false tptp.hskp3 false tptp.ndr1_0 true _let_115 true tptp.hskp26 true _let_114 true _let_9 false _let_523 false _let_521 false _let_188 false tptp.ndr1_0 true _let_518 true _let_160 true _let_164 false _let_88 false tptp.hskp6 true _let_517 true _let_159 true _let_245 true _let_158 true _let_152 false _let_150 false _let_313 false _let_516 false _let_297 false _let_147 false tptp.ndr1_0 true _let_148 true _let_149 true tptp.hskp25 true _let_14 false _let_512 false _let_509 false _let_204 false _let_344 false tptp.ndr1_0 true _let_343 true _let_140 false _let_141 true _let_145 false _let_143 true _let_146 true _let_139)) _let_484 _let_483 _let_482 _let_480 _let_479 _let_278 _let_282 _let_490 _let_489 _let_487 :args ((or tptp.hskp8 tptp.hskp16) false _let_132 false tptp.ndr1_0 true _let_245 true tptp.hskp0 true _let_152 true _let_111 false _let_150 false _let_135 false _let_289 false _let_136 false _let_174 false _let_138 false tptp.ndr1_0 false (forall ((X87 $$unsorted)) (or (tptp.c2_1 X87) (tptp.c3_1 X87) (not (tptp.c0_1 X87)))) false tptp.ndr1_0 true _let_189 true (forall ((X88 $$unsorted)) (or (not (tptp.c0_1 X88)) (not (tptp.c2_1 X88)) (not (tptp.c3_1 X88)))) true tptp.hskp24 true _let_188 true _let_20 true _let_381 false _let_131 false _let_122 true _let_38 false _let_40 false _let_41 false _let_42 false tptp.hskp17 true _let_145 false _let_143 false _let_141 true _let_146 true _let_139)))) (let ((_let_733 (or _let_248 _let_251 _let_273))) (let ((_let_734 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_275 2)) (CONG _let_403 (MACRO_SR_PRED_INTRO :args ((= (not _let_273) _let_272))) :args _let_279)) :args ((or _let_272 _let_275))))) (let ((_let_735 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_243 :args (8)) (MACRO_RESOLUTION_TRUST _let_715 _let_334 _let_716 _let_714 _let_720 _let_310 _let_721 _let_305 _let_301 _let_262 (MACRO_RESOLUTION_TRUST _let_562 _let_565 _let_334 _let_454 _let_568 _let_443 _let_679 _let_437 _let_680 _let_435 (REORDERING (CNF_OR_POS :args (_let_500)) :args ((or _let_495 _let_494 _let_499 (not _let_500)))) _let_431 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)) _let_430 _let_334 _let_711 _let_429 (MACRO_RESOLUTION_TRUST _let_427 _let_334 _let_422 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X52) false))))) :args _let_423)) _let_416 (REORDERING (CNF_OR_POS :args (_let_733)) :args ((or _let_251 _let_273 _let_248 (not _let_733)))) _let_410 _let_734 _let_409 _let_334 _let_401 _let_244 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_341 1)) (CONG (REFL :args _let_406) _let_402 :args _let_279)) :args ((or _let_250 _let_341))) (REORDERING (CNF_OR_NEG :args (_let_341 0)) :args ((or _let_249 _let_341))) _let_398 _let_242 _let_428 _let_393 _let_235 _let_378 _let_376 _let_372 _let_478 _let_732 :args ((or tptp.hskp8 _let_132 _let_230) false tptp.ndr1_0 true _let_136 true _let_201 true _let_135 true _let_733 false _let_111 false _let_272 false tptp.hskp0 false tptp.ndr1_0 true _let_275 true tptp.hskp24 false _let_250 true _let_248 true _let_188 true _let_20 true _let_341 true _let_381 false _let_131 true _let_194 true _let_193 true _let_192 false _let_47 false tptp.hskp16)) _let_408 _let_557 _let_378 _let_376 _let_372 _let_667 _let_668 _let_669 _let_665 _let_663 _let_370 _let_369 _let_368 _let_478 _let_732 :args ((or tptp.hskp8 _let_245) false _let_503 false tptp.ndr1_0 true _let_227 true _let_502 true _let_354 true _let_294 true _let_345 true _let_501 false _let_347 true _let_498 false _let_204 false _let_500 false _let_344 false tptp.ndr1_0 false _let_201 true _let_343 true _let_122 true _let_132 true _let_497 true _let_194 true _let_193 true _let_192 false _let_493 false _let_491 true _let_495 true _let_496 true _let_321 true _let_43 false _let_45 false _let_46 false _let_47 false tptp.hskp16)) _let_490 _let_282 _let_278 _let_489 _let_306 _let_487 :args (tptp.hskp8 false tptp.ndr1_0 true _let_147 true _let_148 true _let_297 true _let_149 true _let_313 true _let_298 true _let_150 false _let_152 false _let_245 false _let_141 false _let_143 true _let_145 true _let_146 true _let_140 true _let_139)) :args (_let_82 false tptp.hskp8)))) (let ((_let_736 (not _let_82))) (let ((_let_737 (REORDERING (CNF_AND_POS :args (_let_82 1)) :args ((or _let_81 _let_736))))) (let ((_let_738 (REORDERING (CNF_AND_POS :args (_let_82 2)) :args ((or _let_80 _let_736))))) (let ((_let_739 (REORDERING (CNF_AND_POS :args (_let_82 3)) :args ((or _let_79 _let_736))))) (let ((_let_740 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_719 :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_718)) :args _let_717)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_311)) :args ((or _let_78 _let_175 _let_267 _let_312))) _let_739 _let_738 _let_737 :args ((or _let_736 _let_312) true _let_78 false _let_80 false _let_81)) _let_735 :args (_let_312 false _let_82)) :args ((not _let_297) true _let_311)))) (let ((_let_741 (MACRO_RESOLUTION_TRUST _let_716 _let_740 :args ((not _let_147) true _let_297)))) (let ((_let_742 (MACRO_RESOLUTION_TRUST _let_714 _let_715 _let_334 _let_741 _let_310 _let_306 _let_305 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) _let_301 (REORDERING (CNF_OR_POS :args _let_280) :args ((or _let_145 _let_144 _let_142 _let_299))) :args ((or _let_145 _let_144 _let_142 _let_277) false _let_148 false tptp.ndr1_0 true _let_147 true _let_149 true _let_140 true _let_298 true _let_139 true _let_150 true _let_146)))) (let ((_let_743 ((not (= (tptp.c0_1 X58) false))))) (let ((_let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_743)) :args _let_302)))) (let ((_let_745 (MACRO_RESOLUTION_TRUST _let_737 _let_735 :args (_let_81 false _let_82)))) (let ((_let_746 (MACRO_RESOLUTION_TRUST _let_738 _let_735 :args (_let_80 false _let_82)))) (let ((_let_747 (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_175 _let_267 _let_176 (not _let_268)))))) (let ((_let_748 (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_175 _let_267 _let_180 (not _let_269)))))) (let ((_let_749 (MACRO_RESOLUTION_TRUST _let_739 _let_735 :args (_let_79 false _let_82)))) (let ((_let_750 (not _let_181))) (let ((_let_751 (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_78 _let_175 _let_180 _let_750))))) (let ((_let_752 (_let_172))) (let ((_let_753 ((not (= (tptp.c1_1 X86) false))))) (let ((_let_754 (ASSUME :args _let_752))) (let ((_let_755 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_754 :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_753)) :args _let_752)))) (let ((_let_756 (_let_182))) (let ((_let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_756) :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X2) true))))) :args _let_756)))) (let ((_let_758 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_759 (not _let_758))) (let ((_let_760 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_761 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_762 (or _let_761 _let_760 _let_759))) (let ((_let_763 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_764 (or _let_763 _let_761 _let_760))) (let ((_let_765 (not _let_763))) (let ((_let_766 (or _let_760 _let_765 _let_759))) (let ((_let_767 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_174 (= X10 X84)))))) (let ((_let_768 (AND_ELIM _let_243 :args (82)))) (let ((_let_769 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_136 (= X53 X85)))))) (let ((_let_770 (not _let_294))) (let ((_let_771 (_let_770))) (let ((_let_772 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_771)) :args _let_771)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_770) _let_294))) (REFL :args ((not _let_762))) :args _let_279)))) (let ((_let_773 (CNF_OR_NEG :args (_let_762 0)))) (let ((_let_774 (CNF_OR_NEG :args (_let_762 1)))) (let ((_let_775 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_762 2)) (CONG (REFL :args (_let_762)) (MACRO_SR_PRED_INTRO :args ((= (not _let_759) _let_758))) :args _let_279)) :args ((or _let_758 _let_762))))) (let ((_let_776 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= U Z)))))) (let ((_let_777 (AND_ELIM _let_243 :args (32)))) (let ((_let_778 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_204 (= X X1)))))) (let ((_let_779 (AND_ELIM _let_243 :args (49)))) (let ((_let_780 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X7) true))))) :args _let_608)))) (let ((_let_781 (REORDERING (CNF_OR_POS :args (_let_764)) :args ((or _let_761 _let_760 _let_763 (not _let_764)))))) (let ((_let_782 (REORDERING (AND_ELIM _let_243 :args (101)) :args ((or tptp.hskp1 tptp.hskp6 tptp.hskp18))))) (let ((_let_783 (MACRO_RESOLUTION_TRUST _let_725 _let_595 _let_726 _let_594 _let_334 _let_706 _let_705 _let_704 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_555 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_554)) :args _let_553)) _let_332 (REORDERING (CNF_OR_POS :args (_let_766)) :args ((or _let_760 _let_759 _let_765 (not _let_766)))) _let_782 _let_781 _let_584 _let_780 _let_583 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_600 (= X7 X9)))) _let_577 (AND_ELIM _let_243 :args (37)) _let_334 _let_779 _let_334 _let_740 _let_467 _let_710 _let_477 (MACRO_RESOLUTION_TRUST _let_707 _let_650 _let_332 _let_778 _let_708 _let_334 _let_777 _let_334 _let_709 _let_776 :args ((or _let_213 _let_182 _let_122 _let_702) false _let_630 false _let_106 false _let_204 false tptp.hskp1 false tptp.ndr1_0 false _let_205 false tptp.ndr1_0 true _let_123 true _let_212)) _let_775 _let_774 _let_773 _let_772 _let_662 _let_670 _let_681 _let_769 _let_655 _let_768 _let_334 _let_682 _let_334 _let_767 _let_683 _let_651 :args ((or tptp.hskp18 _let_182 _let_122 _let_174 _let_172) false _let_116 true _let_120 false _let_295 false tptp.ndr1_0 true _let_102 false _let_104 false _let_105 true _let_159 false _let_106 true _let_766 false tptp.hskp1 false _let_763 true tptp.hskp6 false _let_764 true _let_88 false _let_600 false _let_164 false (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (tptp.c3_1 X9))) false tptp.ndr1_0 false _let_160 false tptp.ndr1_0 true _let_297 true tptp.hskp3 true _let_101 false _let_296 false _let_213 false _let_758 true _let_760 true _let_761 true _let_762 true _let_294 false _let_632 true _let_635 false _let_136 false _let_77 false _let_137 false tptp.ndr1_0 false tptp.hskp9 false tptp.ndr1_0 true _let_173 true _let_644 true _let_631)))) (let ((_let_784 (not _let_159))) (let ((_let_785 (_let_784))) (let ((_let_786 (not _let_293))) (let ((_let_787 (not _let_288))) (let ((_let_788 (REFL :args (_let_292)))) (let ((_let_789 (MACRO_RESOLUTION_TRUST _let_726 _let_706 _let_705 _let_704 :args ((or _let_330 _let_121) true _let_102 false _let_104 false _let_105)))) (let ((_let_790 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_779 _let_334 _let_740 _let_467 _let_577 _let_710 _let_583 _let_477 _let_584 _let_709 _let_782 _let_708 _let_334 _let_332 _let_789 _let_725 _let_595 _let_594 _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_571 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_570)) :args _let_569)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_293)) :args ((or _let_287 _let_291 _let_283 _let_786))) (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_287 _let_286 _let_284 _let_787))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_292 2)) (CONG _let_788 (MACRO_SR_PRED_INTRO :args ((= (not _let_291) _let_290))) :args _let_279)) :args ((or _let_290 _let_292))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_292 1)) (CONG _let_788 (MACRO_SR_PRED_INTRO :args ((= (not _let_286) _let_285))) :args _let_279)) :args ((or _let_285 _let_292))) (CNF_OR_NEG :args (_let_292 0)) :args ((or _let_292 _let_787 _let_786) true _let_283 false _let_290 false _let_285 true _let_287)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_785)) :args _let_785)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_784) _let_159))) (REFL :args ((not _let_292))) :args _let_279)) _let_556 _let_552 _let_731 _let_730 _let_783 _let_757 _let_755 _let_751 _let_749 _let_745 _let_748 _let_746 _let_745 _let_329 _let_747 _let_746 _let_745 _let_328 _let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) _let_325 _let_489 _let_490 _let_742 :args ((or _let_122 _let_145 _let_144 _let_277) false tptp.ndr1_0 true _let_297 true tptp.hskp3 true _let_160 true _let_101 true _let_164 false _let_296 false _let_88 false _let_213 false tptp.hskp6 false _let_123 false tptp.ndr1_0 true tptp.hskp1 true _let_106 false _let_120 false _let_116 false _let_295 false tptp.ndr1_0 true _let_294 true _let_293 true _let_292 true _let_159 true _let_158 false _let_150 false _let_289 false _let_174 true _let_182 true _let_172 true _let_181 true _let_78 false _let_81 true _let_269 false _let_80 false _let_81 true tptp.hskp18 false _let_176 false _let_80 false _let_81 true _let_37 false _let_268 false _let_288 false _let_266 false _let_139 false _let_146 true _let_141)) _let_282 _let_278 :args ((or _let_122 _let_146 _let_277) false _let_143 true _let_145)))) (let ((_let_791 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_297 (= X26 X83)))) _let_740 :args ((not _let_270) true _let_297)))) (let ((_let_792 (AND_ELIM _let_243 :args (81)))) (let ((_let_793 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_227 (= X31 X82)))))) (let ((_let_794 (ALPHA_EQUIV :args (_let_182 (= X2 X99))))) (let ((_let_795 (EQUIV_ELIM2 _let_794))) (let ((_let_796 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_453 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_451)))) (let ((_let_797 (not _let_274))) (let ((_let_798 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_247 _let_273 _let_248 _let_797))) _let_407 _let_734 _let_405 _let_404 :args ((or _let_275 _let_797 _let_276) true _let_248 false _let_272 false _let_246 false _let_250)))) (let ((_let_799 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_397 :args (tptp.a1877 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_396)) :args _let_395)))) (let ((_let_800 (REORDERING (AND_ELIM _let_243 :args (90)) :args ((or tptp.hskp22 tptp.hskp27 _let_465 _let_183))))) (let ((_let_801 (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_4 _let_331))))) (let ((_let_802 (REORDERING (CNF_AND_POS :args (_let_5 2)) :args ((or _let_3 _let_331))))) (let ((_let_803 (REORDERING (CNF_AND_POS :args (_let_5 3)) :args ((or _let_2 _let_331))))) (let ((_let_804 (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_186 _let_185 _let_184 (not _let_187)))))) (let ((_let_805 (or _let_78 _let_267 _let_180))) (let ((_let_806 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_807 (not _let_806))) (let ((_let_808 (or _let_255 _let_807 _let_254))) (let ((_let_809 (or _let_256 _let_255 _let_807))) (let ((_let_810 (not _let_257))) (let ((_let_811 (not _let_805))) (let ((_let_812 (REORDERING (CNF_OR_POS :args (_let_805)) :args ((or _let_78 _let_267 _let_180 _let_811))))) (let ((_let_813 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_421 :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_420)) :args _let_419)))) (let ((_let_814 (not _let_182))) (let ((_let_815 (_let_814))) (let ((_let_816 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_815)) :args _let_815)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_814) _let_182))) (REFL :args ((not _let_808))) :args _let_279)))) (let ((_let_817 (CNF_OR_NEG :args (_let_808 0)))) (let ((_let_818 (REFL :args (_let_808)))) (let ((_let_819 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_808 2)) (CONG _let_818 (MACRO_SR_PRED_INTRO :args ((= (not _let_254) _let_253))) :args _let_279)) :args ((or _let_253 _let_808))))) (let ((_let_820 (not _let_256))) (let ((_let_821 (or _let_807 _let_820 _let_254))) (let ((_let_822 (not _let_809))) (let ((_let_823 (MACRO_RESOLUTION_TRUST _let_742 _let_490 _let_282 _let_278 _let_489 (MACRO_RESOLUTION_TRUST _let_804 _let_803 _let_802 _let_801 _let_333 (MACRO_RESOLUTION_TRUST _let_768 _let_334 _let_767 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_754 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X86) false))))) :args _let_752)) _let_687 (REORDERING (CNF_OR_POS :args (_let_821)) :args ((or _let_807 _let_254 _let_820 (not _let_821)))) _let_693 (REORDERING (CNF_OR_POS :args (_let_809)) :args ((or _let_255 _let_807 _let_256 _let_822))) _let_692 _let_691 _let_690 _let_819 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_808 1)) (CONG _let_818 (MACRO_SR_PRED_INTRO :args ((= (not _let_807) _let_806))) :args _let_279)) :args ((or _let_806 _let_808))) _let_817 _let_695 _let_816 _let_800 _let_334 (REORDERING (EQUIV_ELIM1 _let_794) :args ((or _let_183 _let_814))) :args ((or tptp.hskp27 _let_137 _let_183 _let_822) false tptp.ndr1_0 true _let_173 true _let_172 true _let_174 true _let_821 true _let_179 false _let_256 true _let_21 true _let_23 false _let_25 false _let_253 false _let_806 true _let_255 false _let_26 true _let_808 false tptp.hskp22 false tptp.ndr1_0 true _let_182)) _let_799 (REORDERING (CNF_OR_NEG :args (_let_809 0)) :args ((or _let_820 _let_809))) _let_401 (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_255 _let_254 _let_256 _let_810))) _let_798 _let_819 _let_817 _let_796 _let_769 _let_816 _let_795 _let_793 _let_813 _let_757 _let_792 _let_334 _let_791 _let_812 _let_749 _let_746 _let_751 _let_749 _let_745 _let_329 _let_747 _let_746 _let_745 _let_328 _let_744 _let_325 :args ((or _let_324 _let_810 _let_276) false _let_2 false _let_3 false _let_4 false _let_5 false tptp.hskp27 false _let_187 false _let_809 false _let_188 false _let_256 false _let_275 false _let_253 true _let_255 false _let_274 true _let_137 true _let_808 true _let_183 false _let_227 true _let_136 true _let_182 false _let_271 false tptp.ndr1_0 true _let_270 true _let_805 true _let_78 false _let_80 true _let_181 true _let_78 false _let_81 true tptp.hskp18 false _let_176 false _let_80 false _let_81 true _let_37 false _let_268 false _let_266)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_231)) (MACRO_RESOLUTION_TRUST _let_804 _let_803 _let_802 _let_801 _let_333 _let_800 _let_334 _let_799 _let_695 _let_401 _let_694 _let_798 _let_687 _let_796 _let_783 _let_795 _let_793 _let_757 _let_755 _let_792 _let_334 _let_791 _let_751 _let_749 _let_745 _let_748 _let_746 _let_745 _let_329 _let_747 _let_746 _let_745 _let_328 _let_744 _let_325 _let_489 _let_790 :args ((or _let_122 _let_277 _let_276) false _let_2 false _let_3 false _let_4 false _let_5 false tptp.hskp27 false tptp.ndr1_0 false _let_187 true tptp.hskp22 false _let_188 true _let_26 false _let_275 false _let_179 false _let_274 false _let_174 true _let_183 false _let_227 true _let_182 true _let_172 false _let_271 false tptp.ndr1_0 true _let_270 true _let_181 true _let_78 false _let_81 true _let_269 false _let_80 false _let_81 true tptp.hskp18 false _let_176 false _let_80 false _let_81 true _let_37 false _let_268 false _let_266 false _let_139 false _let_146)) _let_263 _let_262 :args (_let_258 false _let_141 false _let_143 true _let_145 true _let_146 true _let_139 false _let_257 false _let_122 false _let_252 false _let_152)))) (let ((_let_824 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_825 (not _let_824))) (let ((_let_826 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_827 (not _let_826))) (let ((_let_828 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_829 (or _let_828 _let_827 _let_825))) (let ((_let_830 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_831 (not _let_828))) (let ((_let_832 (not _let_830))) (let 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(EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_116 (= X22 X45)))))) (let ((_let_860 (_let_117))) (let ((_let_861 ((not (= (tptp.c0_1 X21) true))))) (let ((_let_862 (ASSUME :args _let_860))) (let ((_let_863 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_297 (= X26 X46)))) _let_740 :args ((not _let_854) true _let_297)))) (let ((_let_864 (AND_ELIM _let_243 :args (60)))) (let ((_let_865 (AND_ELIM _let_243 :args (46)))) (let ((_let_866 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_575)) :args _let_574)))) (let ((_let_867 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_686 :args (tptp.a1862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_685)) :args _let_684)))) (let ((_let_868 (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_78 _let_175 _let_176 (not _let_177)))))) (let ((_let_869 (not _let_204))) (let ((_let_870 (MACRO_RESOLUTION_TRUST _let_529 _let_528 _let_624 _let_823 _let_525 _let_524 :args ((or tptp.hskp6 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_let_134 _let_133 _let_170 (not _let_171)))) _let_583 (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_107 _let_134 _let_161 (not _let_162)))) _let_866 _let_577 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_576 :args (tptp.a1852 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_575)) :args _let_574)) (MACRO_RESOLUTION_TRUST _let_712 _let_427 _let_334 _let_713 _let_378 _let_591 _let_376 _let_484 _let_483 _let_482 _let_372 _let_480 _let_478 _let_593 _let_865 _let_334 _let_864 _let_334 _let_863 _let_594 _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (tptp.a1855 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)) _let_859 _let_595 (REORDERING (CNF_OR_POS :args (_let_852)) :args ((or _let_99 _let_95 _let_124 (not _let_852)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_598 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_597)) :args _let_596)) (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_97 _let_95 _let_125 _let_856))) (REORDERING 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_842)) :args _let_841)) _let_792 _let_334 _let_791 (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_825 _let_832 _let_831 (not _let_833)))) _let_840 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_835 2)) (CONG _let_839 (MACRO_SR_PRED_INTRO :args ((= (not _let_832) _let_830))) :args _let_279)) :args ((or _let_830 _let_835))) _let_838 :args (_let_830 true _let_835)) _let_329 (REORDERING (CNF_OR_POS :args (_let_829)) :args ((or _let_827 _let_825 _let_828 (not _let_829)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_835 0)) (CONG _let_839 (MACRO_SR_PRED_INTRO :args ((= (not _let_827) _let_826))) :args _let_279)) :args ((or _let_826 _let_835))) _let_838 :args (_let_826 true _let_835)) _let_840 _let_328 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_743)) :args _let_302)) _let_325 :args ((or _let_324 _let_384) true _let_128 true _let_66 false _let_68 false _let_70 false tptp.hskp10 false tptp.ndr1_0 true _let_215 false _let_834 true _let_216 false _let_227 true _let_217 false _let_271 false tptp.ndr1_0 true _let_270 true _let_833 false _let_824 false _let_830 true tptp.hskp18 false _let_828 false _let_826 false _let_824 true _let_37 false _let_829 false _let_266)) _let_729 _let_769 _let_422 _let_416 _let_415 _let_414 _let_413 _let_410 _let_409 _let_334 (MACRO_RESOLUTION_TRUST _let_408 _let_823 :args ((not _let_132) true _let_245)) _let_244 _let_242 _let_235 _let_234 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (tptp.a1855 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_231)) :args (_let_230 true _let_165 true _let_167 true _let_168 true _let_229 true _let_117 true _let_228 true _let_59 true _let_61 true _let_63 false _let_65 false tptp.hskp11 false tptp.ndr1_0 true _let_227 true _let_226 true _let_225 true _let_224 true _let_221 true _let_218 false 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X70) (not (tptp.c3_1 X70)))))) (let ((_let_903 (tptp.c0_1 tptp.a1867))) (let ((_let_904 (not _let_903))) (let ((_let_905 (or _let_56 _let_54 _let_904))) (let ((_let_906 (or _let_903 _let_56 _let_54))) (let ((_let_907 (MACRO_RESOLUTION_TRUST _let_651 _let_892 :args ((not _let_631) true _let_122)))) (let ((_let_908 (not _let_58))) (let ((_let_909 (MACRO_RESOLUTION_TRUST _let_557 _let_823 :args ((not _let_497) true _let_245)))) (let ((_let_910 (_let_899))) (let ((_let_911 (not _let_32))) (let ((_let_912 (MACRO_RESOLUTION_TRUST _let_477 (MACRO_RESOLUTION_TRUST _let_710 (MACRO_RESOLUTION_TRUST _let_467 (MACRO_RESOLUTION_TRUST _let_779 _let_334 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_27 _let_893 _let_895 (not _let_896)))) (REORDERING (CNF_OR_POS :args (_let_901)) :args ((or _let_29 _let_27 _let_894 (not _let_901)))) (REORDERING (CNF_AND_POS :args (_let_32 3)) :args ((or _let_28 _let_911))) (REORDERING (CNF_AND_POS :args (_let_32 2)) :args ((or _let_30 _let_911))) (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_31 _let_911))) (AND_ELIM _let_243 :args (21)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_476 :args (tptp.a1898 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_475)) :args _let_474)) (AND_ELIM _let_243 :args (75)) _let_334 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X12 X74)))) _let_823 :args ((not _let_900) true _let_245)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_213 (= U W)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_899 (= X48 X73)))) (AND_ELIM _let_243 :args (31)) _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_910) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X48) true))))) :args _let_910)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_339 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_338)) :args _let_337)) (REORDERING (CNF_OR_POS :args (_let_898)) :args ((or _let_761 _let_760 _let_765 (not _let_898)))) (REORDERING (CNF_OR_POS :args (_let_897)) :args ((or _let_761 _let_759 _let_765 (not _let_897)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_453 :args (tptp.a1898 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_452)) :args _let_451)) _let_781 _let_562 _let_775 _let_774 _let_773 _let_565 _let_334 _let_909 _let_772 _let_568 _let_662 _let_681 _let_655 (MACRO_RESOLUTION_TRUST _let_891 _let_890 _let_873 _let_888 _let_887 _let_776 _let_886 _let_777 _let_334 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_862 :args (tptp.a1867 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_861)) :args _let_860)) _let_757 (REORDERING (CNF_OR_POS :args (_let_906)) :args ((or _let_56 _let_54 _let_903 (not _let_906)))) _let_751 _let_749 _let_745 (REORDERING (CNF_OR_POS :args (_let_905)) :args ((or _let_56 _let_54 _let_904 (not _let_905)))) _let_868 _let_749 _let_745 (REORDERING (CNF_AND_POS :args (_let_58 3)) :args ((or _let_55 _let_908))) (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_57 _let_908))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_686 :args (tptp.a1867 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_685)) :args _let_684)) _let_867 (AND_ELIM _let_243 :args (13)) _let_683 (AND_ELIM _let_243 :args (73)) _let_334 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_122 (= X4 X70)))) _let_892 :args ((not _let_902) true _let_122)) _let_682 _let_334 _let_907 :args ((or tptp.hskp9 _let_205 _let_889) true _let_165 false _let_214 true _let_167 true _let_168 false _let_213 true _let_229 false _let_212 false tptp.ndr1_0 true _let_117 true _let_182 true _let_906 true _let_181 true _let_78 false _let_81 true _let_903 false _let_176 true _let_78 false _let_81 true _let_54 true _let_56 false _let_905 false _let_177 false _let_58 false _let_174 false tptp.hskp13 false tptp.ndr1_0 true _let_902 false _let_644 false tptp.ndr1_0 true _let_631)) _let_780 _let_778 _let_607 _let_870 _let_606 _let_334 _let_823 _let_584 _let_583 _let_866 _let_577 :args (_let_857 false _let_894 true _let_27 true _let_29 false _let_31 false _let_32 false _let_901 false tptp.hskp21 false tptp.ndr1_0 true _let_900 false _let_213 true (forall ((X73 $$unsorted)) (or (tptp.c1_1 X73) (tptp.c3_1 X73) (not (tptp.c0_1 X73)))) false (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) false tptp.ndr1_0 true _let_899 true _let_321 true _let_898 true _let_897 false _let_896 false _let_763 false _let_227 false _let_758 true _let_760 true _let_761 false _let_503 false tptp.ndr1_0 true _let_497 true _let_762 true _let_502 true _let_294 true _let_635 false _let_77 false tptp.hskp9 false _let_764 true _let_205 false _let_600 true _let_204 false _let_599 false tptp.ndr1_0 true _let_245 true tptp.hskp6 true _let_88 false _let_169 false _let_164)) _let_740 :args (tptp.hskp3 false tptp.ndr1_0 true _let_160 true _let_297)) :args (_let_101 false tptp.hskp3)) :args (_let_472 false _let_101)) :args ((not _let_213) true _let_296)))) (let ((_let_913 (MACRO_RESOLUTION_TRUST _let_725 (MACRO_RESOLUTION_TRUST _let_789 (MACRO_RESOLUTION_TRUST _let_332 (MACRO_RESOLUTION_TRUST _let_708 _let_334 (MACRO_RESOLUTION_TRUST _let_709 _let_912 :args ((not _let_123) true _let_213)) _let_892 :args (tptp.hskp1 false tptp.ndr1_0 true _let_123 true _let_122)) :args (_let_106 false tptp.hskp1)) :args (_let_121 false _let_106)) :args ((not _let_116) true _let_120)))) (let ((_let_914 (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c2_1 X16)))))) (let ((_let_915 (MACRO_RESOLUTION_TRUST _let_594 _let_334 (MACRO_RESOLUTION_TRUST _let_595 _let_913 :args ((not _let_295) true _let_116)) _let_662 _let_556 _let_681 _let_552 _let_655 _let_847 _let_682 _let_334 _let_907 _let_790 _let_892 _let_282 _let_278 _let_683 _let_489 _let_867 _let_744 _let_868 _let_749 _let_745 _let_747 _let_746 _let_745 :args (_let_176 false tptp.ndr1_0 true _let_295 true _let_294 true _let_159 true _let_635 true _let_158 false _let_77 false _let_150 false tptp.hskp9 false tptp.ndr1_0 true _let_631 true _let_152 true _let_122 false _let_143 true _let_145 true _let_644 true _let_146 true _let_174 true _let_139 true _let_177 true _let_78 false _let_81 true _let_268 false _let_80 false _let_81)))) (let ((_let_916 (MACRO_RESOLUTION_TRUST _let_435 (MACRO_RESOLUTION_TRUST _let_778 (MACRO_RESOLUTION_TRUST _let_777 _let_334 (MACRO_RESOLUTION_TRUST _let_776 _let_912 :args ((not _let_212) true _let_213)) (MACRO_RESOLUTION_TRUST _let_757 (MACRO_RESOLUTION_TRUST _let_751 _let_749 _let_745 _let_915 :args (_let_750 true _let_78 false _let_81 false _let_176)) :args (_let_814 true _let_181)) :args (_let_205 false tptp.ndr1_0 true _let_212 true _let_182)) :args (_let_204 false _let_205)) :args (_let_347 false _let_204)))) (let ((_let_917 (MACRO_RESOLUTION_TRUST _let_478 (MACRO_RESOLUTION_TRUST _let_864 _let_334 (MACRO_RESOLUTION_TRUST _let_859 _let_913 :args ((not _let_853) true _let_116)) _let_863 :args (tptp.hskp16 false tptp.ndr1_0 true _let_853 true _let_854)) :args (_let_47 false tptp.hskp16)))) (let ((_let_918 (MACRO_RESOLUTION_TRUST _let_427 _let_334 (MACRO_RESOLUTION_TRUST _let_378 (MACRO_RESOLUTION_TRUST _let_376 (MACRO_RESOLUTION_TRUST _let_372 _let_917 :args (_let_371 false _let_47)) :args (_let_625 true _let_192)) :args ((not _let_194) true _let_193)) (MACRO_RESOLUTION_TRUST _let_813 (MACRO_RESOLUTION_TRUST _let_812 _let_749 _let_746 _let_915 :args (_let_811 true _let_78 false _let_80 false _let_176)) :args ((not _let_136) true _let_805)) :args (_let_201 false tptp.ndr1_0 true _let_194 true _let_136)))) (let ((_let_919 (MACRO_RESOLUTION_TRUST _let_876 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_243 :args (41)) (MACRO_RESOLUTION_TRUST _let_391 (MACRO_RESOLUTION_TRUST _let_874 (MACRO_RESOLUTION_TRUST _let_426 _let_918 :args (_let_203 false _let_201)) :args (_let_385 false _let_203)) :args (_let_71 true _let_70)) _let_334 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_357 (= V X16)))) (MACRO_RESOLUTION_TRUST _let_450 (MACRO_RESOLUTION_TRUST _let_696 _let_917 _let_916 :args (_let_440 false _let_47 false _let_347)) :args ((not _let_357) true _let_353)) :args ((not _let_914) true _let_357)) :args (tptp.hskp11 true tptp.hskp10 false tptp.ndr1_0 true _let_914)) :args (_let_65 false tptp.hskp11)))) (let ((_let_920 (MACRO_RESOLUTION_TRUST _let_480 (MACRO_RESOLUTION_TRUST _let_865 _let_334 (MACRO_RESOLUTION_TRUST _let_883 (MACRO_RESOLUTION_TRUST _let_882 (MACRO_RESOLUTION_TRUST _let_878 _let_919 :args (_let_64 false _let_65)) (MACRO_RESOLUTION_TRUST _let_879 _let_919 :args (_let_62 false _let_65)) (MACRO_RESOLUTION_TRUST _let_880 _let_919 :args (_let_60 false _let_65)) :args (_let_881 true _let_63 true _let_61 true _let_59)) :args (_let_884 true _let_228)) _let_913 :args (tptp.hskp17 false tptp.ndr1_0 true _let_117 true _let_116)) :args (_let_42 false tptp.hskp17)))) (let ((_let_921 (MACRO_RESOLUTION_TRUST _let_368 _let_917 :args (_let_46 false _let_47)))) (let ((_let_922 (MACRO_RESOLUTION_TRUST _let_484 _let_920 :args (_let_39 false _let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_591 (MACRO_RESOLUTION_TRUST _let_713 _let_922 (MACRO_RESOLUTION_TRUST _let_482 _let_920 :args (_let_41 false _let_42)) (MACRO_RESOLUTION_TRUST _let_712 _let_918 :args (_let_541 false _let_201)) :args (_let_522 true _let_38 false _let_41 false _let_541)) _let_922 (MACRO_RESOLUTION_TRUST _let_593 (MACRO_RESOLUTION_TRUST _let_568 (MACRO_RESOLUTION_TRUST _let_565 _let_334 (MACRO_RESOLUTION_TRUST _let_562 (MACRO_RESOLUTION_TRUST _let_454 (MACRO_RESOLUTION_TRUST _let_443 _let_921 (MACRO_RESOLUTION_TRUST _let_369 _let_917 :args (_let_45 false _let_47)) (MACRO_RESOLUTION_TRUST _let_437 (MACRO_RESOLUTION_TRUST _let_370 _let_917 :args (_let_44 false _let_47)) _let_921 _let_916 :args (_let_346 true _let_43 false _let_46 false _let_347)) :args (_let_442 false _let_46 false _let_45 true _let_345)) :args (_let_563 true _let_354)) :args ((not _let_503) true _let_227)) _let_909 :args (_let_502 false tptp.ndr1_0 true _let_503 true _let_497)) :args (_let_294 false _let_502)) :args (_let_115 false _let_294)) (MACRO_RESOLUTION_TRUST _let_483 _let_920 :args (_let_40 false _let_42)) :args (false true _let_114 true _let_38 false _let_115 false _let_40)) :args (_let_112 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.75  )
% 0.23/0.75  % SZS output end Proof for SYN483+1
% 0.23/0.75  % cvc5---1.0.5 exiting
% 0.54/0.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------