TSTP Solution File: SYN509+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 02:03:47 EDT 2023

% Result   : Theorem 0.22s 0.74s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN509+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 19:18:18 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.IR8F8Ujywl/cvc5---1.0.5_19601.p...
% 0.22/0.74  ------- get file name : TPTP file name is SYN509+1
% 0.22/0.74  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19601.smt2...
% 0.22/0.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.74  % SZS status Theorem for SYN509+1
% 0.22/0.74  % SZS output start Proof for SYN509+1
% 0.22/0.74  (
% 0.22/0.74  (let ((_let_1 (tptp.c2_1 tptp.a456))) (let ((_let_2 (tptp.c1_1 tptp.a456))) (let ((_let_3 (tptp.c0_1 tptp.a456))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a437))) (let ((_let_6 (tptp.c2_1 tptp.a437))) (let ((_let_7 (and tptp.ndr1_0 (tptp.c0_1 tptp.a437) _let_6 _let_5))) (let ((_let_8 (tptp.c0_1 tptp.a489))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.c3_1 tptp.a489))) (let ((_let_11 (tptp.c2_1 tptp.a489))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (not tptp.hskp25))) (let ((_let_14 (tptp.c0_1 tptp.a486))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c2_1 tptp.a486))) (let ((_let_17 (tptp.c1_1 tptp.a486))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_16 _let_15))) (let ((_let_19 (not tptp.hskp24))) (let ((_let_20 (tptp.c3_1 tptp.a484))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c2_1 tptp.a484))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.c1_1 tptp.a484))) (let ((_let_25 (and tptp.ndr1_0 _let_24 _let_23 _let_21))) (let ((_let_26 (not tptp.hskp23))) (let ((_let_27 (tptp.c2_1 tptp.a472))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c3_1 tptp.a472))) (let ((_let_30 (tptp.c0_1 tptp.a472))) (let ((_let_31 (and tptp.ndr1_0 _let_30 _let_29 _let_28))) (let ((_let_32 (not tptp.hskp20))) (let ((_let_33 (tptp.c2_1 tptp.a467))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c1_1 tptp.a467))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.c0_1 tptp.a467))) (let ((_let_38 (and tptp.ndr1_0 _let_37 _let_36 _let_34))) (let ((_let_39 (tptp.c1_1 tptp.a463))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c2_1 tptp.a463))) (let ((_let_42 (tptp.c0_1 tptp.a463))) (let ((_let_43 (and tptp.ndr1_0 _let_42 _let_41 _let_40))) (let ((_let_44 (tptp.c1_1 tptp.a454))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c0_1 tptp.a454))) (let ((_let_47 (not _let_46))) (let ((_let_48 (and tptp.ndr1_0 (tptp.c3_1 tptp.a454) _let_47 _let_45))) (let ((_let_49 (tptp.c2_1 tptp.a452))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c1_1 tptp.a452))) (let ((_let_52 (tptp.c0_1 tptp.a452))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_50))) (let ((_let_54 (not tptp.hskp14))) (let ((_let_55 (tptp.c1_1 tptp.a451))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c3_1 tptp.a451))) (let ((_let_58 (tptp.c2_1 tptp.a451))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_56))) (let ((_let_60 (not tptp.hskp13))) (let ((_let_61 (tptp.c0_1 tptp.a450))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c3_1 tptp.a450))) (let ((_let_64 (tptp.c1_1 tptp.a450))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_63 _let_62))) (let ((_let_66 (tptp.c3_1 tptp.a449))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c1_1 tptp.a449))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c2_1 tptp.a449))) (let ((_let_71 (and tptp.ndr1_0 _let_70 _let_69 _let_67))) (let ((_let_72 (tptp.c2_1 tptp.a448))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c0_1 tptp.a448))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.c1_1 tptp.a448))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_75 _let_73))) (let ((_let_78 (tptp.c3_1 tptp.a445))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c1_1 tptp.a445))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c0_1 tptp.a445))) (let ((_let_83 (not _let_82))) (let ((_let_84 (and tptp.ndr1_0 _let_83 _let_81 _let_79))) (let ((_let_85 (tptp.c3_1 tptp.a444))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c0_1 tptp.a444))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.c2_1 tptp.a444))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_86))) (let ((_let_91 (not tptp.hskp8))) (let ((_let_92 (tptp.c2_1 tptp.a443))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c1_1 tptp.a443))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.c3_1 tptp.a443))) (let ((_let_97 (and tptp.ndr1_0 _let_96 _let_95 _let_93))) (let ((_let_98 (tptp.c3_1 tptp.a442))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.c2_1 tptp.a442))) (let ((_let_101 (tptp.c0_1 tptp.a442))) (let ((_let_102 (and tptp.ndr1_0 _let_101 _let_100 _let_99))) (let ((_let_103 (tptp.c3_1 tptp.a441))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c2_1 tptp.a441))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.c0_1 tptp.a441))) (let ((_let_108 (and tptp.ndr1_0 _let_107 _let_106 _let_104))) (let ((_let_109 (tptp.c3_1 tptp.a435))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c0_1 tptp.a435))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.c1_1 tptp.a435))) (let ((_let_114 (and tptp.ndr1_0 _let_113 _let_112 _let_110))) (let ((_let_115 (not tptp.hskp3))) (let ((_let_116 (tptp.c3_1 tptp.a434))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.c1_1 tptp.a434))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.c0_1 tptp.a434))) (let ((_let_121 (and tptp.ndr1_0 _let_120 _let_119 _let_117))) (let ((_let_122 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a433)) (not (tptp.c1_1 tptp.a433)) (not (tptp.c2_1 tptp.a433))))) (let ((_let_123 (tptp.c2_1 tptp.a432))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.c0_1 tptp.a432))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c3_1 tptp.a432))) (let ((_let_128 (and tptp.ndr1_0 _let_127 _let_126 _let_124))) (let ((_let_129 (not (not (and (or (not tptp.hskp0) _let_128) (or (not tptp.hskp1) _let_122) (or (not tptp.hskp2) _let_121) (or _let_115 _let_114) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c0_1 tptp.a439) (tptp.c3_1 tptp.a439) (not (tptp.c1_1 tptp.a439)))) (or (not tptp.hskp5) _let_108) (or (not tptp.hskp6) _let_102) (or (not tptp.hskp7) _let_97) (or _let_91 _let_90) (or (not tptp.hskp9) _let_84) (or (not tptp.hskp10) _let_77) (or (not tptp.hskp11) _let_71) (or (not tptp.hskp12) _let_65) (or _let_60 _let_59) (or _let_54 _let_53) (or (not tptp.hskp15) _let_48) (or (not tptp.hskp16) (and tptp.ndr1_0 (tptp.c1_1 tptp.a457) (tptp.c3_1 tptp.a457) (not (tptp.c2_1 tptp.a457)))) (or (not tptp.hskp17) _let_43) (or (not tptp.hskp18) (and tptp.ndr1_0 (not (tptp.c1_1 tptp.a466)) (not (tptp.c2_1 tptp.a466)) (not (tptp.c3_1 tptp.a466)))) (or (not tptp.hskp19) _let_38) (or _let_32 _let_31) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c0_1 tptp.a474) (tptp.c1_1 tptp.a474) (not (tptp.c3_1 tptp.a474)))) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c2_1 tptp.a475) (not (tptp.c0_1 tptp.a475)) (not (tptp.c1_1 tptp.a475)))) (or _let_26 _let_25) (or _let_19 _let_18) (or _let_13 _let_12) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c1_1 tptp.a492) (tptp.c2_1 tptp.a492) (not (tptp.c3_1 tptp.a492)))) (or (not tptp.hskp27) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a509)) (not (tptp.c2_1 tptp.a509)) (not (tptp.c3_1 tptp.a509)))) (or (not tptp.hskp28) _let_7) (or (not tptp.hskp29) (and tptp.ndr1_0 (tptp.c1_1 tptp.a447) (tptp.c2_1 tptp.a447) (tptp.c3_1 tptp.a447))) (or (not tptp.hskp30) _let_4) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V)))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 W)) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c3_1 Y) (not (tptp.c2_1 Y))))) tptp.hskp0) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X1) (tptp.c3_1 X1) (not (tptp.c2_1 X1))))) tptp.hskp1) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2)))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X3) (not (tptp.c0_1 X3)) (not (tptp.c2_1 X3))))) tptp.hskp2) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c3_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c1_1 X5))))) tptp.hskp3) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c2_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (not (tptp.c1_1 X7)) (not (tptp.c3_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X8) (not (tptp.c1_1 X8)) (not (tptp.c2_1 X8)))))) (or (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9))))) (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c1_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X11)) (not (tptp.c2_1 X11)) (not (tptp.c3_1 X11)))))) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X13) (not (tptp.c0_1 X13)) (not (tptp.c3_1 X13))))) tptp.hskp1) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c1_1 X14) (not (tptp.c2_1 X14))))) tptp.hskp28 tptp.hskp0) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp4 tptp.hskp1) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X17) (tptp.c3_1 X17) (not (tptp.c2_1 X17))))) tptp.hskp5) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (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.c3_1 X20))))) tptp.hskp6 tptp.hskp7) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21))))) tptp.hskp8 tptp.hskp9) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c2_1 X22) (tptp.c3_1 X22)))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X23)) (not (tptp.c1_1 X23)) (not (tptp.c3_1 X23))))) tptp.hskp28) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) tptp.hskp29 tptp.hskp10) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X26) (tptp.c2_1 X26) (not (tptp.c0_1 X26))))) tptp.hskp11) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X28) (tptp.c3_1 X28) (not (tptp.c0_1 X28))))) tptp.hskp12) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c1_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X30)) (not (tptp.c1_1 X30)) (not (tptp.c3_1 X30))))) tptp.hskp13) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c1_1 X31))))) tptp.hskp14 tptp.hskp2) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c1_1 X32))))) tptp.hskp15 tptp.hskp9) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35)))))) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (not (tptp.c3_1 X36))))) (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) (not (tptp.c0_1 X38)) (not (tptp.c3_1 X38)))))) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X40) (not (tptp.c2_1 X40)) (not (tptp.c3_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X41) (tptp.c3_1 X41) (not (tptp.c0_1 X41)))))) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp30 tptp.hskp16) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43))))) tptp.hskp2 tptp.hskp1) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (tptp.c3_1 X44) (not (tptp.c1_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c3_1 X45) (not (tptp.c2_1 X45))))) tptp.hskp9) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c3_1 X46) (not (tptp.c1_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c1_1 X47)) (not (tptp.c2_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (tptp.c3_1 X48) (not (tptp.c2_1 X48)))))) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c1_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (not (tptp.c0_1 X50)) (not (tptp.c1_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X51)) (not (tptp.c1_1 X51)) (not (tptp.c3_1 X51)))))) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (tptp.c3_1 X52) (not (tptp.c1_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c1_1 X54)))))) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (tptp.c3_1 X55) (not (tptp.c2_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (not (tptp.c2_1 X56)) (not (tptp.c3_1 X56))))) tptp.hskp14) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (tptp.c3_1 X57) (not (tptp.c2_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) tptp.hskp13) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (tptp.c3_1 X59) (not (tptp.c2_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c2_1 X60) (not (tptp.c3_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c1_1 X61)))))) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X62) (tptp.c3_1 X62) (not (tptp.c2_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X63) (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63))))) tptp.hskp17) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X64) (tptp.c3_1 X64) (not (tptp.c2_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X65) (not (tptp.c0_1 X65)) (not (tptp.c1_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X66)) (not (tptp.c2_1 X66)) (not (tptp.c3_1 X66)))))) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X67) (tptp.c3_1 X67) (not (tptp.c2_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X68)) (not (tptp.c2_1 X68)) (not (tptp.c3_1 X68))))) tptp.hskp16) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X69) (tptp.c3_1 X69) (not (tptp.c2_1 X69))))) tptp.hskp6 tptp.hskp18) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X70) (tptp.c3_1 X70) (not (tptp.c2_1 X70))))) tptp.hskp19 tptp.hskp1) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X71) (not (tptp.c1_1 X71)) (not (tptp.c2_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X72) (not (tptp.c2_1 X72)) (not (tptp.c3_1 X72))))) tptp.hskp8) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X73) (not (tptp.c1_1 X73)) (not (tptp.c2_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (not (tptp.c1_1 X74)) (not (tptp.c3_1 X74))))) tptp.hskp6) (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) (not (tptp.c0_1 X76)) (not (tptp.c1_1 X76))))) tptp.hskp5) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77))))) (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c0_1 X78))))) tptp.hskp20) (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 (tptp.c1_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80))))) tptp.hskp1) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X81) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp21 tptp.hskp22) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X82) (not (tptp.c2_1 X82)) (not (tptp.c3_1 X82))))) tptp.hskp8 tptp.hskp0) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (tptp.c2_1 X83) (tptp.c3_1 X83)))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X84) (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84))))) tptp.hskp19) (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) (tptp.c2_1 X86) (not (tptp.c3_1 X86))))) tptp.hskp28) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (tptp.c2_1 X87) (not (tptp.c0_1 X87))))) (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (not (tptp.c0_1 X88)) (not (tptp.c3_1 X88))))) (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X89) (not (tptp.c0_1 X89)) (not (tptp.c3_1 X89)))))) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X90) (tptp.c2_1 X90) (not (tptp.c3_1 X90))))) (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X91) (tptp.c3_1 X91) (not (tptp.c0_1 X91))))) tptp.hskp1) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (tptp.c2_1 X92) (not (tptp.c3_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c1_1 X93))))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X94)) (not (tptp.c1_1 X94)) (not (tptp.c3_1 X94)))))) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X95) (tptp.c3_1 X95) (not (tptp.c0_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96))))) tptp.hskp3) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X97) (tptp.c3_1 X97) (not (tptp.c0_1 X97))))) (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X98)) (not (tptp.c1_1 X98)) (not (tptp.c2_1 X98))))) (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X99)) (not (tptp.c1_1 X99)) (not (tptp.c3_1 X99)))))) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X100) (tptp.c3_1 X100) (not (tptp.c2_1 X100))))) tptp.hskp30 tptp.hskp11) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X101) (tptp.c3_1 X101) (not (tptp.c2_1 X101))))) tptp.hskp23 tptp.hskp7) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X102) (not (tptp.c0_1 X102)) (not (tptp.c2_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X103) (tptp.c3_1 X103) (not (tptp.c1_1 X103))))) tptp.hskp24) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c2_1 X104))))) (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X105) (not (tptp.c0_1 X105)) (not (tptp.c3_1 X105))))) tptp.hskp23) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c3_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X107) (tptp.c3_1 X107) (not (tptp.c0_1 X107))))) tptp.hskp10) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c3_1 X108))))) (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X109) (not (tptp.c0_1 X109)) (not (tptp.c2_1 X109))))) tptp.hskp25) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X110) (not (tptp.c0_1 X110)) (not (tptp.c3_1 X110))))) tptp.hskp4 tptp.hskp13) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c3_1 X111))))) tptp.hskp26 tptp.hskp8) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X112) (not (tptp.c2_1 X112)) (not (tptp.c3_1 X112))))) (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c1_1 X113))))) tptp.hskp8) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X114) (not (tptp.c0_1 X114)) (not (tptp.c1_1 X114))))) tptp.hskp29 tptp.hskp16) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X115) (not (tptp.c0_1 X115)) (not (tptp.c3_1 X115))))) (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X116)) (not (tptp.c1_1 X116)) (not (tptp.c2_1 X116))))) tptp.hskp30) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X117) (not (tptp.c0_1 X117)) (not (tptp.c3_1 X117))))) (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c3_1 X118))))) tptp.hskp19) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X119) (not (tptp.c1_1 X119)) (not (tptp.c3_1 X119))))) (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X120)) (not (tptp.c1_1 X120)) (not (tptp.c3_1 X120))))) tptp.hskp25) (or (forall ((X121 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X121) (not (tptp.c1_1 X121)) (not (tptp.c3_1 X121))))) tptp.hskp30 tptp.hskp26) (or (forall ((X122 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X122) (not (tptp.c0_1 X122)) (not (tptp.c2_1 X122))))) tptp.hskp14 tptp.hskp12) (or (forall ((X123 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X123) (not (tptp.c1_1 X123)) (not (tptp.c2_1 X123))))) tptp.hskp28 tptp.hskp19) (or (forall ((X124 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X124)) (not (tptp.c1_1 X124)) (not (tptp.c3_1 X124))))) tptp.hskp24 tptp.hskp8) (or (forall ((X125 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X125)) (not (tptp.c1_1 X125)) (not (tptp.c3_1 X125))))) tptp.hskp26 tptp.hskp27) (or (forall ((X126 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X126)) (not (tptp.c1_1 X126)) (not (tptp.c3_1 X126))))) tptp.hskp12 tptp.hskp3) (or (forall ((X127 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X127)) (not (tptp.c2_1 X127)) (not (tptp.c3_1 X127))))) tptp.hskp29 tptp.hskp0) (or (forall ((X128 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X128)) (not (tptp.c2_1 X128)) (not (tptp.c3_1 X128))))) tptp.hskp11 tptp.hskp15) (or (forall ((X129 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X129)) (not (tptp.c2_1 X129)) (not (tptp.c3_1 X129))))) tptp.hskp6 tptp.hskp0) (or tptp.hskp30 tptp.hskp14 tptp.hskp24) (or tptp.hskp14 tptp.hskp19 tptp.hskp13) (or tptp.hskp17 tptp.hskp10 tptp.hskp23) (or tptp.hskp6 tptp.hskp20 tptp.hskp13) (or tptp.hskp24 tptp.hskp12 tptp.hskp3) (or tptp.hskp10 tptp.hskp8 tptp.hskp1)))))) (let ((_let_130 (not _let_29))) (let ((_let_131 (tptp.c1_1 tptp.a472))) (let ((_let_132 (not _let_131))) (let ((_let_133 (not _let_30))) (let ((_let_134 (or _let_133 _let_132 _let_130))) (let ((_let_135 (not _let_31))) (let ((_let_136 (forall ((X23 $$unsorted)) (or (not (tptp.c0_1 X23)) (not (tptp.c1_1 X23)) (not (tptp.c3_1 X23)))))) (let ((_let_137 (forall ((X124 $$unsorted)) (or (not (tptp.c0_1 X124)) (not (tptp.c1_1 X124)) (not (tptp.c3_1 X124)))))) (let ((_let_138 (not _let_90))) (let ((_let_139 (not _let_77))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_129)) (MACRO_SR_EQ_INTRO :args (_let_129 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (AND_ELIM _let_140 :args (8)))) (let ((_let_142 (AND_ELIM _let_140 :args (10)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_140 :args (110)) :args ((or tptp.hskp1 tptp.hskp8 tptp.hskp10))) _let_142 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_let_534))))) (let ((_let_536 (REORDERING (CNF_AND_POS :args (_let_43 2)) :args ((or _let_41 _let_534))))) (let ((_let_537 (REORDERING (CNF_AND_POS :args (_let_43 3)) :args ((or _let_40 _let_534))))) (let ((_let_538 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_431)) :args ((or _let_39 _let_430 _let_429 _let_533))) _let_537 _let_536 _let_535 :args ((or _let_534 _let_533) true _let_39 false _let_41 false _let_42)))) (let ((_let_539 (MACRO_RESOLUTION_TRUST _let_538 _let_532 _let_531 _let_530 _let_143 _let_529 _let_143 _let_528 _let_527 _let_526 _let_310 _let_523 _let_317 _let_521 _let_319 _let_520 _let_143 _let_322 _let_143 _let_519 _let_324 _let_332 _let_371 _let_372 _let_358 (MACRO_RESOLUTION_TRUST _let_518 _let_514 _let_512 _let_511 _let_509 _let_143 _let_508 _let_507 _let_324 _let_505 _let_504 _let_322 _let_143 _let_503 _let_502 _let_319 _let_500 _let_499 _let_317 _let_495 _let_310 _let_494 _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_186 (= X5 X10)))) _let_493 (AND_ELIM _let_140 :args (37)) _let_143 _let_492 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_462 (= X6 X9)))) _let_491 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (tptp.a445 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_489)) :args _let_488)) _let_487 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_457)) :args ((or _let_82 _let_80 _let_456 _let_485))) (REORDERING (CNF_OR_POS :args (_let_461)) :args ((or _let_82 _let_80 _let_460 _let_486))) _let_435 _let_434 :args ((or _let_432 _let_486 _let_485) true _let_456 true _let_80 true _let_82)) _let_484 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (tptp.a445 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_351)) _let_354 _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_339 (= W X11)))) _let_482 _let_481 _let_480 _let_479 _let_437 _let_436 :args ((or _let_339 _let_230 _let_173 _let_432 _let_420 _let_419 _let_417 _let_216 _let_215 _let_214) true _let_476 false _let_428 false _let_472 false _let_474 false tptp.ndr1_0 false _let_473 true _let_471 false _let_164 true _let_470 true tptp.hskp24 false _let_196 false tptp.ndr1_0 true _let_467 true _let_18 true tptp.hskp14 false _let_469 false _let_146 true _let_53 false _let_148 false _let_195 false _let_466 false tptp.ndr1_0 false _let_186 true _let_465 false (forall ((X10 $$unsorted)) (or (tptp.c2_1 X10) (not (tptp.c0_1 X10)) (not (tptp.c1_1 X10)))) false tptp.ndr1_0 true _let_245 true (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (tptp.c1_1 X9) (not (tptp.c2_1 X9)))) true _let_464 true _let_462 false _let_458 true _let_461 false _let_459 false _let_457 false _let_338 false tptp.ndr1_0 true (forall ((X11 $$unsorted)) (or (not (tptp.c0_1 X11)) (not (tptp.c2_1 X11)) (not (tptp.c3_1 X11)))) true _let_454 true _let_453 true _let_452 true _let_455 true _let_185 true _let_412)) _let_451 _let_450 _let_448 _let_447 _let_444 _let_441 _let_370 _let_369 _let_367 _let_366 _let_438 _let_437 _let_436 :args ((or tptp.hskp6 tptp.hskp20 _let_230 _let_173 _let_174 _let_432 _let_216 _let_215 _let_214) false _let_431 false _let_43 false _let_428 false tptp.ndr1_0 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp2 true _let_427 true _let_121 true _let_186 false _let_426 true _let_195 false _let_424 false _let_53 false _let_423 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 true _let_422 true _let_196 true _let_164 true _let_259 true _let_258 false _let_341 false _let_339 false _let_416 false _let_418 true _let_420 true _let_421 true _let_415 true _let_414 false _let_57 false _let_58 false _let_59 false tptp.hskp13 true _let_413 true _let_185 true _let_412)))) (let ((_let_540 (or _let_131 _let_133 _let_130))) (let ((_let_541 (or _let_131 _let_27 _let_133))) (let ((_let_542 ((not (= (tptp.c1_1 X26) true))))) (let ((_let_543 (MACRO_RESOLUTION_TRUST _let_392 _let_143 _let_388 _let_396 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_381)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_399)) (REORDERING (CNF_OR_POS :args (_let_541)) :args ((or _let_27 _let_133 _let_131 (not _let_541)))) (REORDERING (CNF_OR_POS :args (_let_540)) :args ((or _let_133 _let_130 _let_131 (not _let_540)))) :args ((or _let_27 _let_233 _let_133 _let_130 _let_131) false tptp.ndr1_0 true _let_272 true _let_274 true _let_265 true _let_277 true _let_541 true _let_540)))) (let ((_let_544 (not _let_134))) (let ((_let_545 (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_133 _let_130 _let_132 _let_544))))) (let ((_let_546 (_let_136))) (let ((_let_547 ((not (= (tptp.c0_1 X23) false))))) (let ((_let_548 (ASSUME :args _let_546))) (let ((_let_549 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_548 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_547)) :args _let_546)))) (let ((_let_550 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_140 :args (59)) _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_136 (= X23 X51)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_186 (= X5 X50)))) _let_549 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (tptp.a472 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)) _let_545 (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_27 _let_133 _let_132 (not _let_234)))) _let_543 _let_373 _let_347 _let_364 _let_362 _let_361 _let_360 _let_365 _let_539 _let_411 _let_410 _let_409 _let_408 _let_407 _let_143 _let_406 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X34 X49)))) _let_404 _let_403 (MACRO_RESOLUTION_TRUST _let_402 (REORDERING (CNF_OR_POS :args (_let_279)) :args ((or _let_268 _let_267 _let_278 (not _let_279)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_399)) _let_398 _let_397 _let_396 _let_395 _let_392 _let_143 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_391 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_390)) :args _let_389)) _let_388 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_254 _let_261 _let_250 (not _let_271)))) _let_387 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_382)) :args _let_381)) _let_380 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_264 (= X16 X18)))) (MACRO_RESOLUTION_TRUST _let_380 (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_254 _let_253 _let_250 _let_379))) _let_377 _let_375 :args ((or _let_262 _let_379 _let_378) false _let_250 false _let_252 true _let_254)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_262 2)) (CONG _let_376 (MACRO_SR_PRED_INTRO :args ((= (not _let_261) _let_260))) :args _let_158)) :args ((or _let_260 _let_262))) _let_377 _let_375 (AND_ELIM _let_140 :args (42)) _let_143 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_374)) :args _let_374)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_343) _let_232))) (REFL :args ((not _let_262))) :args _let_158)) _let_373 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= X13 X19)))) (MACRO_RESOLUTION_TRUST _let_372 _let_371 _let_370 _let_369 _let_367 _let_366 _let_365 _let_364 _let_358 _let_354 _let_143 _let_353 _let_350 _let_349 _let_348 _let_347 :args ((or tptp.hskp6 _let_94 _let_92 _let_185 _let_333 _let_343 _let_342) false _let_258 false _let_57 false _let_58 false _let_59 false tptp.hskp13 true tptp.hskp20 true _let_31 false _let_341 false _let_339 false tptp.ndr1_0 true _let_338 true _let_337 true _let_334 false _let_336 false _let_231)) _let_332 _let_328 _let_327 _let_326 _let_324 _let_323 _let_322 _let_143 _let_321 _let_143 _let_319 _let_318 _let_317 _let_314 _let_310 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)) _let_309 _let_305 _let_143 _let_304 _let_303 _let_302 _let_298 _let_294 _let_293 _let_292 _let_291 _let_290 _let_287 _let_285 _let_284 _let_224 _let_222 _let_218 :args ((or tptp.hskp6 _let_87 _let_85 _let_169 _let_280) true _let_269 false _let_279 false _let_266 true _let_268 false _let_277 true _let_276 false _let_274 false tptp.ndr1_0 true _let_273 true _let_272 true _let_271 false _let_270 true _let_265 true _let_250 false _let_264 true _let_263 false _let_260 false _let_252 true _let_254 false (forall ((X18 $$unsorted)) (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18)))) false tptp.ndr1_0 true _let_262 true _let_233 true (forall ((X19 $$unsorted)) (or (tptp.c2_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c3_1 X19)))) true _let_232 false _let_259 true _let_92 true _let_94 false _let_96 false _let_164 false _let_97 false _let_196 false tptp.ndr1_0 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp14 true tptp.hskp23 true _let_53 true _let_25 false _let_195 false _let_255 false _let_249 false _let_186 false tptp.ndr1_0 true _let_247 true _let_246 true _let_245 true _let_185 true _let_244 true _let_243 true tptp.hskp3 true _let_237 true _let_114 false _let_242 false _let_239 false _let_236 true _let_173 true _let_171 true _let_170)) _let_223 _let_225 _let_224 _let_222 _let_218 :args ((or tptp.hskp6 _let_87 _let_85 _let_169) false tptp.ndr1_0 true (forall ((X51 $$unsorted)) (or (not (tptp.c0_1 X51)) (not (tptp.c1_1 X51)) (not (tptp.c3_1 X51)))) true (forall ((X50 $$unsorted)) (or (tptp.c2_1 X50) (not (tptp.c0_1 X50)) (not (tptp.c1_1 X50)))) true _let_136 true _let_186 true _let_134 true _let_234 false _let_131 true _let_233 true _let_232 true _let_231 true _let_27 false _let_29 false _let_30 false _let_31 false tptp.hskp20 false _let_84 false _let_213 true _let_215 true _let_216 false tptp.hskp9 false tptp.ndr1_0 true _let_217 true (forall ((X49 $$unsorted)) (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c1_1 X49)))) true _let_230 true _let_229 true _let_212 true _let_172 true _let_174 true _let_173 true _let_171 true _let_170)))) (let ((_let_551 (AND_ELIM _let_140 :args (6)))) (let ((_let_552 (not _let_102))) (let ((_let_553 (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_101 _let_552))))) (let ((_let_554 (REORDERING (CNF_AND_POS :args (_let_102 2)) :args ((or _let_100 _let_552))))) (let ((_let_555 (REORDERING (CNF_AND_POS :args (_let_102 3)) :args ((or _let_99 _let_552))))) (let ((_let_556 (not _let_182))) (let ((_let_557 (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_98 _let_181 _let_180 _let_556))))) (let ((_let_558 (MACRO_RESOLUTION_TRUST _let_557 _let_555 _let_554 _let_553 :args ((or _let_552 _let_556) true _let_98 false _let_100 false _let_101)))) (let ((_let_559 (_let_183))) (let ((_let_560 ((not (= (tptp.c3_1 X109) true))))) (let ((_let_561 (ASSUME :args _let_559))) (let ((_let_562 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_561 :args (tptp.a442 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559)))) (let ((_let_563 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_183 (= X109 X122)))))) (let ((_let_564 (MACRO_RESOLUTION_TRUST _let_403 _let_285 _let_407 _let_143 _let_291 _let_411 _let_293 _let_436 _let_298 _let_437 :args ((or _let_87 _let_85 _let_172 _let_477) true _let_212 false _let_229 false tptp.ndr1_0 true _let_239 true tptp.hskp9 false _let_237 true _let_84 false _let_243 false _let_412)))) (let ((_let_565 (tptp.c3_1 tptp.a463))) (let ((_let_566 (or _let_39 _let_565 _let_429))) (let ((_let_567 (not _let_565))) (let ((_let_568 (or _let_430 _let_429 _let_567))) (let ((_let_569 (MACRO_RESOLUTION_TRUST _let_507 _let_509 _let_143 _let_505 _let_504 _let_503 _let_502 _let_500 _let_499 :args ((or _let_474 _let_159 _let_216 _let_215 _let_214) false _let_471 false tptp.ndr1_0 true _let_470 true tptp.hskp24 true _let_467 true _let_18 false _let_469 false _let_146)))) (let ((_let_570 (MACRO_RESOLUTION_TRUST _let_512 _let_532 (MACRO_RESOLUTION_TRUST _let_354 _let_143 _let_484 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (tptp.a463 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_356)) :args _let_355)) _let_487 (REORDERING (CNF_OR_POS :args (_let_568)) :args ((or _let_430 _let_429 _let_567 (not _let_568)))) _let_491 (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_39 _let_429 _let_565 (not _let_566)))) _let_492 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_301 :args (tptp.a463 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)) _let_493 _let_494 _let_143 _let_495 _let_569 _let_410 _let_409 _let_408 _let_406 _let_404 _let_284 _let_290 _let_292 _let_480 _let_481 _let_482 _let_305 _let_143 _let_479 _let_303 :args ((or _let_39 _let_185 _let_186 _let_474 _let_430 _let_429) false tptp.ndr1_0 true _let_338 true _let_339 true _let_459 true _let_568 true _let_458 false _let_565 false _let_464 false _let_566 false _let_245 false _let_465 false tptp.ndr1_0 true _let_466 true _let_148 false _let_213 true _let_215 true _let_216 true _let_217 true _let_230 true _let_212 true _let_236 false _let_114 true _let_452 true _let_453 true _let_454 false tptp.hskp3 false tptp.ndr1_0 true _let_455 true _let_246)) _let_538 _let_537 _let_536 _let_535 _let_531 _let_529 _let_143 _let_527 :args ((or _let_185 _let_186 _let_174) true _let_428 false _let_474 true _let_431 true _let_39 false _let_41 false _let_42 false _let_43 false tptp.hskp17 false tptp.ndr1_0 true _let_427)))) (let ((_let_571 (REORDERING (AND_ELIM _let_140 :args (97)) :args ((or tptp.hskp12 tptp.hskp14 _let_320 _let_184))))) (let ((_let_572 (AND_ELIM _let_140 :args (12)))) (let ((_let_573 ((not (= (tptp.c0_1 X35) true))))) (let ((_let_574 (not _let_65))) (let ((_let_575 (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_574))))) (let ((_let_576 (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_63 _let_574))))) (let ((_let_577 (REORDERING (CNF_AND_POS :args (_let_65 3)) :args ((or _let_62 _let_574))))) (let ((_let_578 (not _let_205))) (let ((_let_579 (REORDERING (CNF_OR_POS :args (_let_205)) :args ((or _let_61 _let_204 _let_203 _let_578))))) (let ((_let_580 (_let_206))) (let ((_let_581 ((not (= (tptp.c0_1 X7) true))))) (let ((_let_582 (ASSUME :args _let_580))) (let ((_let_583 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)))) (let ((_let_584 (not _let_206))) (let ((_let_585 (_let_584))) (let ((_let_586 (REFL :args (_let_209)))) (let ((_let_587 (_let_211))) (let ((_let_588 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_589 (not _let_588))) (let ((_let_590 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_591 (not _let_590))) (let ((_let_592 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_593 (or _let_592 _let_591 _let_589))) (let ((_let_594 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_595 (not _let_594))) (let ((_let_596 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_597 (not _let_596))) (let ((_let_598 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_599 (or _let_598 _let_597 _let_595))) (let ((_let_600 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_601 (not _let_600))) (let ((_let_602 (or _let_178 _let_177 _let_601))) (let ((_let_603 (or _let_178 _let_600 _let_176))) (let ((_let_604 (forall ((X8 $$unsorted)) (or (tptp.c3_1 X8) (not (tptp.c1_1 X8)) (not (tptp.c2_1 X8)))))) (let ((_let_605 (not _let_592))) (let ((_let_606 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_607 (or _let_606 _let_589 _let_605))) (let ((_let_608 (tptp.c1_1 tptp.a442))) (let ((_let_609 (not _let_608))) (let ((_let_610 (or _let_98 _let_609 _let_180))) (let ((_let_611 (or _let_608 _let_181 _let_180))) (let ((_let_612 (forall ((X104 $$unsorted)) (or (tptp.c1_1 X104) (not (tptp.c0_1 X104)) (not (tptp.c2_1 X104)))))) (let ((_let_613 (forall ((X105 $$unsorted)) (or (tptp.c2_1 X105) (not (tptp.c0_1 X105)) (not (tptp.c3_1 X105)))))) (let ((_let_614 (not _let_598))) (let ((_let_615 (or _let_614 _let_597 _let_595))) (let ((_let_616 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_617 (not _let_616))) (let ((_let_618 (or _let_617 _let_597 _let_595))) (let ((_let_619 (forall 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_let_158)) :args ((or _let_175 _let_179))) (CNF_OR_NEG :args (_let_179 1)) (CNF_OR_NEG :args (_let_179 0)) :args ((or _let_179 _let_642 _let_641) true _let_600 false _let_175 true _let_177 true _let_178)))) (let ((_let_644 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_489)) :args _let_488)))) (let ((_let_645 (AND_ELIM _let_140 :args (36)))) (let ((_let_646 (_let_604))) (let ((_let_647 ((not (= (tptp.c3_1 X8) true))))) (let ((_let_648 (ASSUME :args _let_646))) (let ((_let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_648 :args (tptp.a442 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_647)) :args _let_646)))) (let ((_let_650 (not _let_610))) (let ((_let_651 (REORDERING (CNF_OR_POS :args (_let_610)) :args ((or _let_98 _let_180 _let_609 _let_650))))) (let ((_let_652 (not _let_611))) (let ((_let_653 (REORDERING (CNF_OR_POS :args (_let_611)) :args ((or _let_181 _let_180 _let_608 _let_652))))) (let ((_let_654 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (tptp.a442 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)))) (let ((_let_655 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_428 (= X3 X104)))))) (let ((_let_656 (AND_ELIM _let_140 :args (86)))) (let ((_let_657 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_232 (= X13 X105)))))) (let ((_let_658 (not _let_615))) (let ((_let_659 (not _let_599))) (let ((_let_660 (REFL :args (_let_618)))) (let ((_let_661 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_618 1)) (CONG _let_660 (MACRO_SR_PRED_INTRO :args ((= (not _let_597) _let_596))) :args _let_158)) :args ((or _let_596 _let_618))))) (let ((_let_662 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_618 2)) (CONG _let_660 (MACRO_SR_PRED_INTRO :args ((= (not _let_595) _let_594))) :args _let_158)) :args ((or _let_594 _let_618))))) (let ((_let_663 (not _let_619))) (let ((_let_664 (_let_663))) (let ((_let_665 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_664)) :args _let_664)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_663) _let_619))) (REFL :args ((not _let_618))) :args _let_158)))) (let ((_let_666 (_let_619))) (let ((_let_667 (ASSUME :args _let_666))) (let ((_let_668 (not _let_166))) (let ((_let_669 (not _let_157))) (let ((_let_670 (CNF_OR_NEG :args (_let_154 0)))) (let ((_let_671 (REFL :args (_let_154)))) (let ((_let_672 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_154 1)) (CONG _let_671 (MACRO_SR_PRED_INTRO :args ((= (not _let_152) _let_151))) :args _let_158)) :args ((or _let_151 _let_154))))) (let ((_let_673 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_154 2)) (CONG _let_671 (MACRO_SR_PRED_INTRO :args ((= (not _let_150) _let_149))) :args _let_158)) :args ((or _let_149 _let_154))))) (let ((_let_674 (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_153 _let_150 _let_165 _let_668))))) (let ((_let_675 (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_153 _let_152 _let_155 _let_669))))) (let ((_let_676 (not _let_4))) (let ((_let_677 (not _let_630))) (let ((_let_678 (_let_631))) (let ((_let_679 (not _let_631))) (let ((_let_680 (_let_679))) (let ((_let_681 (REFL :args (_let_634)))) (let ((_let_682 (_let_636))) (let ((_let_683 ((not (= (tptp.c3_1 X54) true))))) (let ((_let_684 (ASSUME :args _let_682))) (let ((_let_685 (not _let_636))) (let ((_let_686 (_let_685))) (let ((_let_687 (REFL :args (_let_637)))) (let ((_let_688 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_689 (or _let_189 _let_688 _let_188))) (let ((_let_690 (or _let_215 _let_214 _let_468))) (let ((_let_691 (or _let_191 _let_688 _let_188))) (let ((_let_692 (not _let_192))) (let ((_let_693 (or _let_98 _let_181 _let_609))) (let ((_let_694 (or _let_608 _let_98 _let_180))) (let ((_let_695 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_684 :args (tptp.a442 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_683)) :args _let_682)))) (let ((_let_696 (REORDERING (CNF_OR_POS :args (_let_693)) :args ((or _let_98 _let_181 _let_609 (not _let_693)))))) (let ((_let_697 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(REFL :args ((not _let_691))) :args _let_158)) _let_507 _let_505 (REORDERING (CNF_OR_POS :args (_let_690)) :args ((or _let_215 _let_214 _let_468 (not _let_690)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_648 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_647)) :args _let_646)) _let_645 _let_143 _let_644 _let_643 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_286)) :args _let_281)) _let_640 (MACRO_RESOLUTION_TRUST _let_495 _let_494 _let_143 _let_569 _let_493 _let_512 _let_698 _let_654 _let_697 _let_653 _let_696 _let_695 (AND_ELIM _let_140 :args (60)) _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X34 X52)))) _let_404 :args ((or _let_98 _let_212 _let_211 _let_181 _let_180 _let_216 _let_215 _let_214) false _let_466 false tptp.ndr1_0 true _let_148 true _let_465 true _let_474 true _let_245 true _let_428 true _let_694 true _let_611 true _let_608 false _let_693 false 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(REORDERING (AND_ELIM _let_140 :args (105)) :args ((or tptp.hskp14 tptp.hskp24 tptp.hskp30))) _let_504 _let_502 _let_499 _let_161 (MACRO_RESOLUTION_TRUST _let_675 _let_674 _let_673 _let_672 _let_670 :args ((or _let_154 _let_669 _let_668) true _let_155 false _let_149 false _let_151 true _let_153)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_667 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X66) false))))) :args _let_666)) _let_665 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_597 _let_595 _let_614 _let_658))) (REORDERING (CNF_OR_POS :args (_let_599)) :args ((or _let_597 _let_595 _let_598 _let_659))) _let_662 _let_661 :args ((or _let_618 _let_659 _let_658) false _let_598 false _let_594 false _let_596)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_357 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_356)) :args _let_355)) _let_354 _let_143 _let_353 _let_350 _let_349 _let_348 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:args ((or _let_87 _let_85 _let_169 _let_280) true _let_592 false _let_588 false _let_590 true _let_606 true _let_637 true _let_636 true _let_635 true _let_620 false _let_622 false _let_624 false _let_632 true _let_634 true _let_631 true _let_630 false _let_2 false _let_4 false tptp.hskp30 true tptp.hskp24 true _let_18 false _let_146 false _let_148 false _let_154 false _let_626 false _let_619 false _let_618 false _let_615 false _let_339 false tptp.ndr1_0 true _let_338 true _let_337 true _let_334 false _let_336 false _let_232 false _let_613 false tptp.ndr1_0 true _let_612 true _let_428 true _let_92 true _let_94 false _let_96 true _let_611 false _let_97 true _let_608 false tptp.hskp7 false tptp.ndr1_0 false _let_610 false _let_607 true _let_247 false _let_604 false tptp.ndr1_0 true _let_245 true tptp.hskp23 true _let_462 true _let_244 true _let_25 true _let_603 true _let_237 false _let_242 false _let_602 false _let_157 false _let_239 true _let_179 false _let_249 true _let_206 true 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(EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_829)) :args _let_829)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_828) _let_136))) (REFL :args ((not _let_823))) :args _let_158)))) (let ((_let_831 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_728 (= X25 X31)))))) (let ((_let_832 (REORDERING (AND_ELIM _let_140 :args (50)) :args ((or tptp.hskp2 tptp.hskp14 _let_320 _let_817))))) (let ((_let_833 (or _let_68 _let_66 _let_768))) (let ((_let_834 (tptp.c2_1 tptp.a450))) (let ((_let_835 (not _let_834))) (let ((_let_836 (or _let_61 _let_835 _let_203))) (let ((_let_837 (or _let_453 _let_458 _let_452))) (let ((_let_838 (or _let_61 _let_834 _let_204))) (let ((_let_839 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_840 (not _let_839))) (let ((_let_841 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_842 (not _let_841))) (let ((_let_843 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_844 (or _let_843 _let_842 _let_840))) (let ((_let_845 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_846 (or _let_843 _let_845 _let_842))) (let ((_let_847 (or _let_843 _let_839 _let_842))) (let ((_let_848 (or _let_839 _let_845 _let_842))) (let ((_let_849 (forall ((X41 $$unsorted)) (or (tptp.c2_1 X41) (tptp.c3_1 X41) (not (tptp.c0_1 X41)))))) (let ((_let_850 (or _let_61 _let_834 _let_203))) (let ((_let_851 (forall ((X39 $$unsorted)) (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39)))))) (let ((_let_852 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_517 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_516)) :args _let_515)))) (let ((_let_853 (not _let_846))) (let ((_let_854 (not _let_424))) (let ((_let_855 (_let_854))) (let ((_let_856 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_855)) :args _let_855)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_854) _let_424))) (REFL :args (_let_853)) :args _let_158)))) (let ((_let_857 (CNF_OR_NEG :args (_let_846 0)))) (let ((_let_858 (CNF_OR_NEG :args (_let_846 1)))) (let ((_let_859 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_846 2)) (CONG (REFL :args (_let_846)) (MACRO_SR_PRED_INTRO :args ((= (not _let_842) _let_841))) :args _let_158)) :args ((or _let_841 _let_846))))) (let ((_let_860 (REORDERING (CNF_OR_POS :args (_let_844)) :args ((or _let_843 _let_842 _let_840 (not _let_844)))))) (let ((_let_861 (REORDERING (CNF_OR_POS :args (_let_847)) :args ((or _let_843 _let_842 _let_839 (not _let_847)))))) (let ((_let_862 (REORDERING (CNF_OR_POS :args (_let_848)) :args ((or _let_845 _let_842 _let_839 (not _let_848)))))) (let ((_let_863 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_381)))) (let ((_let_864 (_let_849))) (let ((_let_865 ((not (= (tptp.c2_1 X41) true))))) (let ((_let_866 (ASSUME :args _let_864))) (let ((_let_867 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_866 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_865)) :args _let_864)))) (let ((_let_868 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_573)) :args _let_329)))) (let ((_let_869 (not _let_850))) (let ((_let_870 (not _let_836))) (let ((_let_871 (REORDERING (CNF_OR_POS :args (_let_836)) :args ((or _let_61 _let_203 _let_835 _let_870))))) (let ((_let_872 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_850)) :args ((or _let_61 _let_203 _let_834 _let_869))) _let_871 _let_577 _let_576 :args ((or _let_574 _let_870 _let_869) true _let_834 true _let_61 false _let_63)))) (let ((_let_873 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_715 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_713)))) (let ((_let_874 (AND_ELIM _let_140 :args (54)))) (let ((_let_875 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_710 (= X33 X39)))))) (let ((_let_876 (not _let_833))) (let ((_let_877 (not _let_838))) (let ((_let_878 (REORDERING (CNF_OR_POS :args (_let_838)) :args ((or _let_61 _let_204 _let_834 _let_877))))) (let ((_let_879 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_749 :args (tptp.a450 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_748)) :args _let_747)))) (let ((_let_880 (MACRO_RESOLUTION_TRUST _let_570 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_791 _let_143 _let_879 _let_789 _let_878 _let_788 _let_871 _let_785 _let_577 _let_576 _let_575 _let_784 _let_143 _let_572 _let_783 _let_571 _let_143 _let_649 _let_563 _let_651 _let_562 _let_697 _let_558 _let_554 _let_551 _let_539 _let_365 _let_753 _let_549 _let_830 _let_411 _let_827 _let_407 _let_143 _let_824 _let_225 _let_224 _let_223 _let_354 _let_143 _let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_803 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_802)) :args _let_801)) _let_484 _let_704 (REORDERING (CNF_OR_POS :args (_let_837)) :args ((or _let_453 _let_452 _let_458 (not _let_837)))) _let_487 _let_792 _let_674 _let_491 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_68 _let_66 _let_768 _let_876))) (REORDERING (CNF_AND_POS :args (_let_71 3)) :args ((or _let_67 _let_794))) _let_796 _let_795 :args ((or _let_794 _let_876) true _let_66 true _let_68 false _let_70)) _let_638 _let_868 _let_492 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_301 :args (tptp.a449 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)) _let_698 _let_703 _let_493 _let_673 _let_670 _let_702 _let_143 _let_701 _let_494 _let_143 _let_161 _let_168 _let_495 (MACRO_RESOLUTION_TRUST _let_875 _let_874 _let_143 _let_873 _let_444 _let_872 _let_441 _let_868 _let_367 _let_519 _let_366 _let_520 _let_143 _let_365 _let_753 _let_551 _let_554 _let_782 _let_649 _let_645 _let_143 _let_800 _let_799 _let_798 _let_796 _let_795 _let_792 _let_791 _let_143 _let_583 _let_867 _let_863 _let_579 _let_862 _let_861 _let_577 _let_576 _let_575 _let_860 _let_572 _let_859 _let_858 _let_857 (AND_ELIM _let_140 :args (48)) _let_143 _let_856 _let_521 _let_523 _let_526 _let_528 _let_832 _let_143 _let_549 _let_831 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_728 (= X25 X27)))) _let_751 _let_750 _let_746 _let_143 _let_701 _let_852 _let_781 _let_654 _let_745 _let_504 _let_512 _let_503 _let_502 _let_569 _let_500 _let_499 :args ((or tptp.hskp14 _let_98 _let_181 _let_159 _let_216 _let_215 _let_214) false _let_851 false tptp.ndr1_0 true _let_710 true _let_415 true _let_850 true _let_414 false _let_836 false _let_59 false _let_164 false tptp.hskp13 false _let_422 false tptp.ndr1_0 true tptp.hskp20 true _let_31 true tptp.hskp6 true _let_102 true _let_100 false _let_610 false _let_604 false tptp.ndr1_0 true _let_462 true _let_777 true _let_769 true _let_68 false _let_70 false _let_71 false tptp.hskp11 false tptp.ndr1_0 true _let_206 true _let_849 true _let_265 true _let_205 true _let_848 true _let_847 true _let_61 false _let_63 false _let_64 true _let_839 false _let_65 false _let_841 true _let_845 true _let_843 false tptp.hskp12 false tptp.ndr1_0 true _let_846 true _let_423 true _let_424 true _let_426 false _let_121 false tptp.hskp2 false tptp.ndr1_0 false _let_134 true _let_817 true (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c1_1 X27)))) false _let_136 true _let_728 false _let_137 false tptp.ndr1_0 true tptp.hskp8 false _let_844 false _let_771 false _let_611 true _let_727 true tptp.hskp24 false _let_428 true _let_467 true _let_18 false _let_474 false _let_469 false _let_146)) _let_482 _let_480 _let_481 _let_479 :args ((or tptp.hskp14 _let_98 _let_185 _let_229 _let_230 _let_181 _let_216 _let_215 _let_214 _let_818) false tptp.ndr1_0 true _let_728 true _let_265 true _let_838 true _let_743 true _let_834 false _let_38 true _let_61 false _let_63 false _let_64 false tptp.hskp19 false tptp.ndr1_0 false _let_65 true _let_772 false tptp.hskp12 false tptp.ndr1_0 true _let_604 true _let_184 true _let_610 true _let_183 false _let_608 true _let_182 false _let_100 false _let_102 false tptp.hskp6 true tptp.hskp20 true _let_31 false _let_134 false _let_136 false _let_84 false _let_823 false tptp.hskp9 false tptp.ndr1_0 false _let_822 true _let_174 true _let_173 true _let_172 false _let_339 false tptp.ndr1_0 true _let_171 true _let_730 true _let_338 true _let_156 true _let_837 true _let_459 true tptp.hskp11 true _let_155 true _let_458 true _let_71 false _let_166 false _let_836 false _let_464 false _let_833 false _let_694 false _let_164 false _let_245 false _let_149 true _let_153 false _let_163 false tptp.ndr1_0 true tptp.hskp8 false _let_465 false tptp.ndr1_0 true _let_154 true _let_162 true _let_466 true _let_148 true _let_454 true _let_452 true _let_453 true _let_455)) _let_555 _let_553 _let_551 (MACRO_RESOLUTION_TRUST _let_511 _let_514 _let_451 _let_450 _let_448 _let_508 _let_447 _let_519 _let_444 _let_520 _let_143 _let_441 _let_521 _let_367 _let_523 _let_366 _let_526 _let_365 _let_528 _let_753 _let_832 _let_143 _let_549 _let_831 _let_751 _let_750 _let_746 _let_143 _let_701 _let_518 _let_745 _let_504 _let_512 _let_503 _let_502 _let_569 _let_500 _let_499 (MACRO_RESOLUTION_TRUST _let_753 _let_365 _let_549 _let_539 _let_830 _let_411 _let_827 _let_407 _let_143 _let_824 _let_225 _let_224 _let_223 _let_354 _let_143 _let_810 _let_484 _let_704 _let_487 _let_674 _let_491 _let_638 _let_492 _let_703 _let_493 _let_673 _let_670 _let_702 _let_143 _let_701 _let_494 _let_143 _let_161 _let_168 _let_495 _let_480 _let_481 _let_482 _let_479 :args ((or tptp.hskp6 _let_185 _let_148 _let_229 _let_230 _let_216 _let_215 _let_214 _let_818) false _let_31 false _let_134 false tptp.hskp20 false _let_136 false _let_84 false _let_823 false tptp.hskp9 false tptp.ndr1_0 false _let_822 true _let_174 true _let_173 true _let_172 false _let_339 false tptp.ndr1_0 true _let_171 true _let_338 true _let_156 true _let_459 true _let_155 true _let_458 false _let_166 false _let_464 false _let_164 false _let_245 false _let_149 true _let_153 false _let_163 false tptp.ndr1_0 true tptp.hskp8 false _let_465 false tptp.ndr1_0 true _let_154 true _let_162 true _let_466 true _let_452 true _let_453 true _let_454 true _let_455)) :args ((or tptp.hskp6 tptp.hskp14 _let_185 _let_229 _let_230 _let_216 _let_215 _let_214 _let_818) true _let_472 false _let_416 false _let_418 true _let_420 false _let_473 true _let_421 false _let_164 true _let_415 false _let_422 false tptp.ndr1_0 true _let_414 true _let_423 false _let_59 true _let_424 false tptp.hskp13 true _let_426 true tptp.hskp20 false _let_121 true _let_31 false tptp.hskp2 false tptp.ndr1_0 false _let_134 true _let_817 false _let_136 true _let_728 false _let_137 false tptp.ndr1_0 true tptp.hskp8 false _let_476 true _let_727 true tptp.hskp24 false _let_428 true _let_467 true _let_18 false _let_474 false _let_469 false _let_146 false _let_148)) _let_319 _let_317 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)) _let_310 :args ((or _let_185 _let_229 _let_230 (not _let_186) _let_216 _let_215 _let_214) true _let_98 false _let_101 false _let_102 false tptp.hskp6 true tptp.hskp14 true _let_53 false _let_816 false _let_195)) _let_437 _let_436 _let_411 _let_407 _let_143 _let_225 _let_223 _let_810 _let_705 (MACRO_RESOLUTION_TRUST _let_789 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_809)) :args _let_809)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_808) _let_265))) (REFL :args ((not _let_741))) :args _let_158)) _let_788 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_740)) :args ((or _let_733 _let_739 _let_737 _let_807))) (REORDERING (CNF_OR_POS :args (_let_734)) :args ((or _let_733 _let_732 _let_731 _let_806))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_741 2)) (CONG (REFL :args (_let_741)) (MACRO_SR_PRED_INTRO :args ((= (not _let_739) _let_738))) :args _let_158)) :args ((or _let_738 _let_741))) (CNF_OR_NEG :args (_let_741 1)) (CNF_OR_NEG :args (_let_741 0)) :args ((or _let_741 _let_807 _let_806) false _let_731 false _let_738 true _let_732 true _let_733)) _let_785 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_399)) (REORDERING (AND_ELIM _let_140 :args (98)) :args ((or tptp.hskp19 tptp.hskp28 _let_320 _let_736))) _let_143 _let_805 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_604 (= X8 X123)))) _let_804 _let_143 _let_649 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_803 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_802)) :args _let_801)) _let_562 _let_782 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_776)) :args ((or _let_123 _let_711 _let_775 (not _let_776)))) (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_125 _let_711 _let_779 (not _let_780)))) _let_720 _let_719 _let_718 _let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (tptp.a432 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_581)) :args _let_580)) (REORDERING (AND_ELIM _let_140 :args (39)) :args ((or tptp.hskp0 tptp.hskp28 _let_320 _let_778))) _let_143 _let_645 _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_462 (= X6 X14)))) _let_800 _let_799 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_391 :args (tptp.a432 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_390)) :args _let_389)) _let_798 _let_797 _let_796 _let_795 _let_793 _let_143 _let_792 _let_767 _let_791 _let_143 _let_790 _let_766 _let_789 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_415 (= X40 X112)))) _let_788 (AND_ELIM _let_140 :args (91)) _let_143 _let_701 _let_785 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_636 (= X54 X113)))) _let_784 _let_143 _let_695 _let_783 _let_696 _let_649 _let_653 _let_782 _let_781 _let_654 _let_512 _let_569 _let_744 _let_752 :args ((or _let_98 _let_728 _let_730 _let_181 _let_180 _let_159 _let_216 _let_215 _let_214) true _let_775 true _let_123 true _let_125 false _let_127 false _let_128 false _let_780 false tptp.hskp0 false tptp.ndr1_0 false _let_206 false tptp.ndr1_0 true _let_778 true _let_462 true _let_777 false _let_776 true _let_769 false _let_273 true _let_68 false _let_70 false _let_774 false tptp.ndr1_0 false _let_71 true tptp.hskp28 false tptp.hskp11 false tptp.ndr1_0 true _let_773 true _let_7 true _let_265 false _let_415 true _let_743 false (forall ((X112 $$unsorted)) (or (tptp.c1_1 X112) (not (tptp.c2_1 X112)) (not (tptp.c3_1 X112)))) false tptp.ndr1_0 true tptp.hskp8 false _let_38 true (forall ((X113 $$unsorted)) (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c1_1 X113)))) false tptp.hskp19 false tptp.ndr1_0 true _let_636 true _let_772 true _let_693 true _let_604 false _let_608 true _let_610 false _let_771 false _let_611 false _let_428 false _let_474 false _let_726 true _let_729)) _let_558 _let_555 _let_554 _let_553 _let_551 _let_366 _let_367 _let_767 _let_441 _let_766 _let_444 _let_447 (MACRO_RESOLUTION_TRUST _let_511 _let_514 _let_451 _let_450 _let_448 :args ((or _let_421 _let_510 _let_513) true _let_472 false _let_416 false _let_418 true _let_420)) _let_365 _let_753 _let_549 _let_752 _let_751 _let_750 _let_746 _let_143 _let_701 _let_518 _let_654 _let_745 _let_504 _let_512 _let_503 _let_502 _let_569 _let_500 _let_744 _let_499 :args ((or tptp.hskp25 _let_159 _let_510 _let_216 _let_215 _let_214) false _let_265 true _let_743 false _let_741 false _let_38 false _let_740 false tptp.hskp19 false tptp.ndr1_0 false _let_277 true _let_736 false _let_735 false tptp.ndr1_0 true _let_604 false _let_734 true _let_183 true _let_610 false _let_730 true _let_182 true _let_98 false _let_100 false _let_101 false _let_102 false tptp.hskp6 true tptp.hskp13 true tptp.hskp28 true _let_59 true _let_7 false _let_414 false _let_415 false _let_421 true tptp.hskp20 true _let_31 false _let_134 true _let_729 false _let_136 true _let_728 false _let_137 false tptp.ndr1_0 true tptp.hskp8 false _let_476 false _let_611 true _let_727 true tptp.hskp24 false _let_428 true _let_467 true _let_18 false _let_474 false _let_469 false _let_726 false _let_146)) _let_725 _let_724 _let_508 _let_721 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_125 _let_123 _let_711 (not _let_712)))) _let_720 _let_719 _let_718 _let_716 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_715 :args (tptp.a432 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_714)) :args _let_713)) (REORDERING (AND_ELIM _let_140 :args (75)) :args ((or tptp.hskp0 tptp.hskp8 _let_320 _let_709))) _let_143 _let_701 (AND_ELIM _let_140 :args (52)) _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_164 (= X35 X82)))) :args ((or _let_212 _let_164) true _let_123 true _let_125 false _let_127 false _let_128 false _let_712 false tptp.hskp0 false tptp.ndr1_0 true tptp.hskp8 false _let_710 false tptp.ndr1_0 true _let_709)) _let_410 _let_409 _let_408 _let_406 _let_404 _let_403 :args (_let_212 true _let_186 true _let_185 true _let_412 false _let_84 false tptp.hskp9 false tptp.ndr1_0 true _let_174 true _let_172 true _let_171 true _let_156 true _let_148 true tptp.hskp25 true _let_12 false _let_473 false _let_708 false _let_164 false _let_213 true _let_215 true _let_216 true _let_217 true _let_230 true _let_229)))) (let ((_let_881 (MACRO_RESOLUTION_TRUST _let_675 (MACRO_RESOLUTION_TRUST _let_639 _let_880 :args (_let_157 false _let_212)) (REORDERING (CNF_OR_NEG :args (_let_156 1)) :args ((or _let_165 _let_156))) _let_672 _let_670 _let_705 _let_161 :args (_let_148 false _let_157 true _let_155 false _let_151 true _let_153 true _let_156 true _let_154)))) (let ((_let_882 (MACRO_RESOLUTION_TRUST _let_504 (MACRO_RESOLUTION_TRUST _let_502 (MACRO_RESOLUTION_TRUST _let_499 _let_881 :args (_let_146 false _let_148)) :args (_let_147 false _let_146)) :args (_let_19 true _let_18)))) (let ((_let_883 (MACRO_RESOLUTION_TRUST _let_365 (MACRO_RESOLUTION_TRUST _let_753 (MACRO_RESOLUTION_TRUST _let_549 (MACRO_RESOLUTION_TRUST _let_751 (MACRO_RESOLUTION_TRUST _let_746 _let_701 _let_882 _let_143 :args (_let_137 true tptp.hskp8 true tptp.hskp24 false tptp.ndr1_0)) :args (_let_136 false _let_137)) :args (_let_134 false _let_136)) :args (_let_135 false _let_134)) :args (_let_32 true _let_31)))) (let ((_let_884 (or _let_55 _let_340 _let_256))) (let ((_let_885 (or _let_845 _let_842 _let_840))) (let ((_let_886 (not _let_76))) (let ((_let_887 (or _let_74 _let_72 _let_886))) (let ((_let_888 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_889 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_890 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_891 (or _let_890 _let_889 _let_888))) (let ((_let_892 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_893 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_894 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_895 (or _let_894 _let_893 _let_892))) (let ((_let_896 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_897 (not _let_896))) (let ((_let_898 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_899 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_900 (or _let_899 _let_898 _let_897))) (let ((_let_901 (not _let_888))) (let ((_let_902 (or _let_890 _let_889 _let_901))) (let ((_let_903 (or _let_890 _let_889 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31)))) (let ((_let_904 (tptp.c2_1 tptp.a454))) (let ((_let_905 (or _let_46 _let_44 _let_904))) (let ((_let_906 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_907 (not _let_906))) (let ((_let_908 (or _let_899 _let_907 _let_897))) (let ((_let_909 (not _let_898))) (let ((_let_910 (or _let_899 _let_909 _let_907))) (let ((_let_911 (not _let_902))) (let ((_let_912 (not _let_891))) (let ((_let_913 (not _let_338))) (let ((_let_914 (_let_913))) (let ((_let_915 (not _let_892))) (let ((_let_916 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_917 (not _let_916))) (let ((_let_918 (or _let_894 _let_917 _let_915))) (let ((_let_919 (forall ((X32 $$unsorted)) (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c1_1 X32)))))) (let ((_let_920 (not _let_904))) (let ((_let_921 (or _let_46 _let_44 _let_920))) (let ((_let_922 (or _let_894 _let_893 _let_917))) (let ((_let_923 (not _let_895))) (let ((_let_924 (not _let_905))) (let ((_let_925 (not _let_164))) (let ((_let_926 (MACRO_RESOLUTION_TRUST _let_292 (MACRO_RESOLUTION_TRUST _let_290 (MACRO_RESOLUTION_TRUST _let_284 _let_880 :args (_let_236 false _let_212)) :args (_let_289 false _let_236)) :args (_let_115 true _let_114)))) (let ((_let_927 (MACRO_RESOLUTION_TRUST _let_572 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_140 :args (109)) :args ((or tptp.hskp3 tptp.hskp12 tptp.hskp24))) _let_926 _let_882 :args (tptp.hskp12 true tptp.hskp3 true tptp.hskp24)) :args (_let_65 false tptp.hskp12)))) (let ((_let_928 (MACRO_RESOLUTION_TRUST _let_577 _let_927 :args (_let_62 false _let_65)))) (let ((_let_929 (MACRO_RESOLUTION_TRUST _let_576 _let_927 :args (_let_63 false _let_65)))) (let ((_let_930 (MACRO_RESOLUTION_TRUST _let_575 _let_927 :args (_let_64 false _let_65)))) (let ((_let_931 (not _let_48))) (let ((_let_932 (not _let_921))) (let ((_let_933 (not _let_462))) (let ((_let_934 (_let_933))) (let ((_let_935 (_let_925))) (let ((_let_936 (REFL :args (_let_908)))) (let ((_let_937 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_910)) :args ((or _let_899 _let_907 _let_909 (not _let_910)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_498 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_497)) :args _let_496)) _let_881 :args (_let_910 false _let_148)) (REORDERING (CNF_OR_POS :args (_let_900)) :args ((or _let_899 _let_897 _let_898 (not _let_900)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_908 2)) (CONG _let_936 (MACRO_SR_PRED_INTRO :args ((= (not _let_897) _let_896))) :args _let_158)) :args ((or _let_896 _let_908))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_908 1)) (CONG _let_936 (MACRO_SR_PRED_INTRO :args ((= (not _let_907) _let_906))) :args _let_158)) :args ((or _let_906 _let_908))) (CNF_OR_NEG :args (_let_908 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_935)) :args _let_935)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_925) _let_164))) (REFL :args ((not _let_908))) :args _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_895)) :args ((or _let_894 _let_893 _let_892 _let_923))) (REORDERING (CNF_OR_POS :args (_let_918)) :args ((or _let_894 _let_917 _let_915 (not _let_918)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_922 2)) (CONG (REFL :args (_let_922)) (MACRO_SR_PRED_INTRO :args ((= (not _let_917) _let_916))) :args _let_158)) :args ((or _let_916 _let_922))) (CNF_OR_NEG :args (_let_922 1)) (CNF_OR_NEG :args (_let_922 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_934)) :args _let_934)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_933) _let_462))) (REFL :args ((not _let_922))) :args _let_158)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_490 :args (tptp.a454 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_489)) :args _let_488)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_905)) :args ((or _let_46 _let_44 _let_904 _let_924))) (REORDERING (CNF_OR_POS :args (_let_921)) :args ((or _let_46 _let_44 _let_920 _let_932))) :args ((or _let_46 _let_44 _let_932 _let_924) true _let_904)) (REORDERING (CNF_AND_POS :args (_let_48 3)) :args ((or _let_45 _let_931))) (REORDERING (CNF_AND_POS :args (_let_48 2)) :args ((or _let_47 _let_931))) (AND_ELIM _let_140 :args (15)) (REORDERING (AND_ELIM _let_140 :args (51)) :args ((or tptp.hskp9 tptp.hskp15 _let_320 _let_919))) _let_143 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_728 (= X25 X32)))) _let_879 _let_878 _let_930 _let_928 _let_871 _let_929 _let_928 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_331 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_573)) :args _let_329)) _let_868 :args ((or tptp.hskp9 _let_925 _let_924 _let_923) true _let_892 false _let_916 true _let_893 true _let_894 true _let_922 true _let_462 true _let_921 true _let_44 true _let_46 false _let_48 false tptp.hskp15 false tptp.ndr1_0 true _let_919 true _let_728 true _let_838 false _let_64 true _let_61 true _let_834 false _let_63 true _let_61 false _let_918 false _let_836)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (tptp.a454 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_483)) :args _let_351)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_914)) :args _let_914)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_913) _let_338))) (REFL :args ((not _let_903))) :args _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_902)) :args ((or _let_890 _let_889 _let_901 _let_911))) (REORDERING (CNF_OR_POS :args (_let_891)) :args ((or _let_890 _let_889 _let_888 _let_912))) (CNF_OR_NEG :args (_let_903 1)) (CNF_OR_NEG :args (_let_903 0)) :args ((or _let_903 _let_912 _let_911) false _let_888 true _let_889 true _let_890)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_386 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_386 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_264 (= X16 X21)))) (AND_ELIM _let_140 :args (44)) _let_143 _let_701 _let_411 _let_436 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_297 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_296)) :args _let_295)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_297 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_296)) :args _let_295)) _let_437 :args (_let_477 false _let_910 false _let_898 false _let_896 false _let_906 true _let_899 true _let_908 true _let_164 false _let_905 false _let_338 false _let_903 false _let_902 false _let_900 false _let_264 false (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c1_1 X21) (not (tptp.c3_1 X21)))) false tptp.ndr1_0 true tptp.hskp8 true tptp.hskp9 true _let_84 false _let_895 false _let_891 false _let_412)))) (let ((_let_938 (MACRO_RESOLUTION_TRUST _let_305 _let_926 _let_143 (MACRO_RESOLUTION_TRUST _let_303 _let_937 :args ((not _let_246) true _let_185)) :args (_let_186 true tptp.hskp3 false tptp.ndr1_0 true _let_246)))) (let ((_let_939 (not _let_887))) (let ((_let_940 (MACRO_RESOLUTION_TRUST _let_318 (MACRO_RESOLUTION_TRUST _let_314 (MACRO_RESOLUTION_TRUST _let_287 _let_880 :args (_let_242 false _let_212)) (MACRO_RESOLUTION_TRUST _let_309 _let_938 :args (_let_249 false _let_186)) :args (_let_313 false _let_242 false _let_249)) :args (_let_26 true _let_25)))) (let ((_let_941 (MACRO_RESOLUTION_TRUST _let_523 (MACRO_RESOLUTION_TRUST _let_526 (MACRO_RESOLUTION_TRUST _let_528 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_140 :args (107)) :args ((or tptp.hskp10 tptp.hskp17 tptp.hskp23))) _let_940 _let_142 _let_531 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_887)) :args ((or _let_74 _let_72 _let_886 _let_939))) (REORDERING (CNF_AND_POS :args (_let_77 3)) :args ((or _let_73 _let_139))) (REORDERING (CNF_AND_POS :args (_let_77 2)) :args ((or _let_75 _let_139))) (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 _let_139))) :args ((or _let_139 _let_939) true _let_72 true _let_74 false _let_76)) _let_538 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_749 :args (tptp.a448 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_748)) :args _let_747)) _let_532 _let_831 _let_530 _let_143 (MACRO_RESOLUTION_TRUST _let_438 _let_937 :args ((not _let_413) true _let_185)) _let_832 _let_143 (MACRO_RESOLUTION_TRUST _let_319 (MACRO_RESOLUTION_TRUST _let_317 (MACRO_RESOLUTION_TRUST _let_310 _let_938 :args (_let_195 false _let_186)) :args (_let_316 false _let_195)) :args (_let_54 true _let_53)) :args (tptp.hskp2 true tptp.hskp23 true tptp.hskp10 true tptp.hskp17 true _let_77 true _let_43 false _let_887 false _let_431 false _let_728 false _let_428 false tptp.ndr1_0 true _let_413 false _let_817 false tptp.ndr1_0 true tptp.hskp14)) :args (_let_121 false tptp.hskp2)) :args (_let_524 false _let_121)) :args (_let_854 true _let_426)))) (let ((_let_942 (MACRO_RESOLUTION_TRUST _let_519 (MACRO_RESOLUTION_TRUST _let_520 _let_883 _let_143 (MACRO_RESOLUTION_TRUST _let_521 _let_941 :args ((not _let_423) true _let_424)) :args (_let_422 true tptp.hskp20 false tptp.ndr1_0 true _let_423)) :args (_let_164 false _let_422)))) (let ((_let_943 (MACRO_RESOLUTION_TRUST _let_868 _let_942 :args (_let_836 false _let_164)))) (let ((_let_944 (MACRO_RESOLUTION_TRUST _let_875 (MACRO_RESOLUTION_TRUST _let_873 (MACRO_RESOLUTION_TRUST _let_872 _let_927 _let_943 :args (_let_869 false _let_65 false _let_836)) :args ((not _let_710) true _let_850)) :args ((not _let_851) true _let_710)))) (let ((_let_945 (MACRO_RESOLUTION_TRUST _let_856 _let_941 :args (_let_853 true _let_424)))) (let ((_let_946 (MACRO_RESOLUTION_TRUST _let_858 _let_945 :args ((not _let_845) true _let_846)))) (let ((_let_947 (MACRO_RESOLUTION_TRUST _let_859 _let_945 :args (_let_841 true _let_846)))) (let ((_let_948 (MACRO_RESOLUTION_TRUST _let_725 (MACRO_RESOLUTION_TRUST _let_724 (MACRO_RESOLUTION_TRUST _let_721 _let_942 :args (_let_708 false _let_164)) :args (_let_723 false _let_708)) :args (_let_13 true _let_12)))) (let ((_let_949 (MACRO_RESOLUTION_TRUST _let_551 (MACRO_RESOLUTION_TRUST _let_366 (MACRO_RESOLUTION_TRUST _let_367 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_561 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_560)) :args _let_559)) (REORDERING (CNF_OR_POS :args (_let_885)) :args ((or _let_845 _let_842 _let_840 (not _let_885)))) _let_947 _let_946 _let_804 _let_143 _let_948 _let_862 _let_947 _let_946 _let_805 _let_867 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (tptp.a451 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_399)) _let_874 _let_143 _let_944 (REORDERING (CNF_OR_POS :args (_let_884)) :args ((or _let_55 _let_256 _let_340 (not _let_884)))) _let_444 _let_371 (MACRO_RESOLUTION_TRUST _let_332 _let_942 :args (_let_259 false _let_164)) _let_441 _let_440 _let_370 _let_369 :args (_let_368 true _let_885 false _let_841 true _let_845 false _let_183 false tptp.ndr1_0 true tptp.hskp25 false _let_839 false _let_841 true _let_845 true _let_735 false _let_848 true _let_277 false _let_849 false tptp.ndr1_0 true _let_851 true _let_884 true _let_415 false _let_258 false _let_259 true _let_414 true _let_55 false _let_57 false _let_58)) :args (_let_60 true _let_59)) _let_883 :args (tptp.hskp6 true tptp.hskp13 true tptp.hskp20)) :args (_let_102 false tptp.hskp6)))) (let ((_let_950 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_951 (not _let_950))) (let ((_let_952 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_953 (not _let_952))) (let ((_let_954 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_955 (or _let_954 _let_953 _let_951))) (let ((_let_956 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_957 (not _let_956))) (let ((_let_958 (or _let_954 _let_953 _let_957))) (let ((_let_959 (or _let_275 _let_278 _let_267))) (let ((_let_960 (or _let_954 _let_956 _let_951))) (let ((_let_961 (or _let_94 _let_92 _let_333))) (let ((_let_962 (not _let_107))) (let ((_let_963 (or _let_105 _let_103 _let_962))) (let ((_let_964 (tptp.c1_1 tptp.a441))) (let ((_let_965 (not _let_964))) (let ((_let_966 (or _let_105 _let_962 _let_965))) (let ((_let_967 (or _let_964 _let_105 _let_962))) (let ((_let_968 (not _let_428))) (let ((_let_969 (MACRO_RESOLUTION_TRUST _let_857 _let_945 :args ((not _let_843) true _let_846)))) (let ((_let_970 (MACRO_RESOLUTION_TRUST _let_879 (MACRO_RESOLUTION_TRUST _let_878 _let_928 _let_930 (MACRO_RESOLUTION_TRUST _let_871 _let_928 _let_929 _let_943 :args (_let_835 true _let_61 false _let_63 false _let_836)) :args (_let_877 true _let_61 false _let_64 true _let_834)) :args ((not _let_728) true _let_838)))) (let ((_let_971 (_let_968))) (let ((_let_972 (REFL :args (_let_955)))) (let ((_let_973 (not _let_108))) (let ((_let_974 (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_107 _let_973))))) (let ((_let_975 (REORDERING (CNF_AND_POS :args (_let_108 2)) :args ((or _let_106 _let_973))))) (let ((_let_976 (not _let_963))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_793 _let_143 _let_767 _let_790 _let_766 (MACRO_RESOLUTION_TRUST _let_752 _let_970 :args ((not _let_729) true _let_728)) (MACRO_RESOLUTION_TRUST _let_744 _let_881 :args (_let_726 false _let_148)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (tptp.a441 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_382)) :args _let_381)) _let_874 _let_143 _let_944 (REORDERING (CNF_OR_POS :args (_let_967)) :args ((or _let_105 _let_962 _let_964 (not _let_967)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_866 :args (tptp.a441 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_865)) :args _let_864)) (REORDERING (CNF_OR_POS :args (_let_966)) :args ((or _let_105 _let_962 _let_965 (not _let_966)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_308 :args (tptp.a441 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_306)) _let_938 :args (_let_966 false _let_186)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_963)) :args ((or _let_105 _let_103 _let_962 _let_976))) (REORDERING (CNF_AND_POS :args (_let_108 3)) :args ((or _let_104 _let_973))) _let_975 _let_974 :args ((or _let_973 _let_976) true _let_103 true _let_105 false _let_107)) _let_975 _let_974 (AND_ELIM _let_140 :args (5)) (AND_ELIM _let_140 :args (41)) _let_143 _let_387 _let_402 (REORDERING (CNF_OR_POS :args (_let_959)) :args ((or _let_275 _let_267 _let_278 (not _let_959)))) _let_398 (CNF_OR_NEG :args (_let_276 1)) _let_397 _let_395 _let_797 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_391 :args (tptp.a443 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X60) true))))) :args _let_389)) (REORDERING (CNF_OR_POS :args (_let_961)) :args ((or _let_94 _let_92 _let_333 (not _let_961)))) _let_328 _let_327 _let_326 _let_323 _let_321 _let_143 _let_940 _let_304 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X1 X17)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_301 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)) (REORDERING (CNF_OR_POS :args (_let_960)) :args ((or _let_954 _let_951 _let_956 (not _let_960)))) (REORDERING (CNF_OR_POS :args (_let_958)) :args ((or _let_954 _let_953 _let_957 (not _let_958)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_401 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_399)) _let_657 _let_805 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_955 2)) (CONG _let_972 (MACRO_SR_PRED_INTRO :args ((= (not _let_951) _let_950))) :args _let_158)) :args ((or _let_950 _let_955))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_955 1)) (CONG _let_972 (MACRO_SR_PRED_INTRO :args ((= (not _let_953) _let_952))) :args _let_158)) :args ((or _let_952 _let_955))) (CNF_OR_NEG :args (_let_955 0)) _let_656 _let_143 _let_940 _let_804 _let_143 _let_948 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_971)) :args _let_971)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_968) _let_428))) (REFL :args ((not _let_955))) :args _let_158)) _let_655 _let_562 (MACRO_RESOLUTION_TRUST _let_799 _let_798 _let_796 _let_795 _let_792 _let_791 _let_143 _let_970 _let_800 _let_863 _let_645 _let_143 (MACRO_RESOLUTION_TRUST _let_583 (MACRO_RESOLUTION_TRUST _let_579 _let_928 _let_930 _let_929 :args (_let_578 true _let_61 false _let_64 false _let_63)) :args (_let_584 true _let_205)) _let_861 _let_947 _let_969 _let_649 _let_860 _let_947 _let_969 _let_782 _let_852 _let_781 _let_654 :args ((or _let_98 _let_181 _let_180 _let_968) true _let_769 true _let_68 false _let_70 false _let_71 false tptp.hskp11 false tptp.ndr1_0 true _let_728 false _let_777 true _let_265 false _let_462 false tptp.ndr1_0 true _let_206 true _let_847 false _let_841 true _let_843 true _let_604 true _let_839 false _let_841 true _let_843 true _let_610 false _let_844 false _let_771 false _let_611)) _let_557 :args (_let_182 false tptp.ndr1_0 true tptp.hskp28 true _let_773 true _let_7 true _let_729 false _let_726 true _let_265 false _let_415 false tptp.ndr1_0 true _let_851 true _let_967 true _let_849 true _let_964 false _let_966 true _let_963 true _let_105 false _let_107 false _let_108 false tptp.hskp5 false tptp.ndr1_0 true _let_264 true _let_270 true _let_269 false _let_266 true _let_275 true _let_268 true _let_276 true _let_774 true _let_273 true _let_961 true _let_92 true _let_94 false _let_96 false _let_97 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp23 true _let_247 true (forall ((X17 $$unsorted)) (or (tptp.c1_1 X17) (tptp.c3_1 X17) (not (tptp.c2_1 X17)))) true _let_245 true _let_960 true _let_956 false _let_959 false _let_958 false _let_232 false _let_277 false _let_950 false _let_952 true _let_954 false _let_613 false tptp.ndr1_0 true tptp.hskp23 false _let_735 false tptp.ndr1_0 true tptp.hskp25 true _let_955 true _let_612 true _let_183 true _let_428 true _let_182)) (MACRO_RESOLUTION_TRUST _let_555 _let_949 :args (_let_99 false _let_102)) (MACRO_RESOLUTION_TRUST _let_554 _let_949 :args (_let_100 false _let_102)) (MACRO_RESOLUTION_TRUST _let_553 _let_949 :args (_let_101 false _let_102)) :args (false true _let_98 false _let_100 false _let_101)) :args (_let_129 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.74  )
% 0.22/0.74  % SZS output end Proof for SYN509+1
% 0.22/0.74  % cvc5---1.0.5 exiting
% 0.22/0.74  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------