%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:36 EDT 2023

% Result   : Theorem 0.46s 0.70s
% Output   : Proof 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN486+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 19:25:35 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.46/0.70  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wD7UuKKMHn/cvc5---1.0.5_10117.p...
% 0.46/0.70  ------- get file name : TPTP file name is SYN486+1
% 0.46/0.70  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10117.smt2...
% 0.46/0.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.70  % SZS status Theorem for SYN486+1
% 0.46/0.70  % SZS output start Proof for SYN486+1
% 0.46/0.70  (
% 0.46/0.70  (let ((_let_1 (tptp.c3_1 tptp.a2208))) (let ((_let_2 (tptp.c1_1 tptp.a2208))) (let ((_let_3 (tptp.c0_1 tptp.a2208))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a2196))) (let ((_let_6 (tptp.c2_1 tptp.a2196))) (let ((_let_7 (tptp.c1_1 tptp.a2196))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a2178))) (let ((_let_10 (tptp.c2_1 tptp.a2178))) (let ((_let_11 (tptp.c0_1 tptp.a2178))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c2_1 tptp.a2268))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c0_1 tptp.a2268))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c1_1 tptp.a2268))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_16 _let_14))) (let ((_let_19 (tptp.c0_1 tptp.a2262))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c3_1 tptp.a2262))) (let ((_let_22 (tptp.c1_1 tptp.a2262))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_20))) (let ((_let_24 (not tptp.hskp24))) (let ((_let_25 (tptp.c3_1 tptp.a2219))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c1_1 tptp.a2219))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c2_1 tptp.a2219))) (let ((_let_30 (and tptp.ndr1_0 _let_29 _let_28 _let_26))) (let ((_let_31 (tptp.c3_1 tptp.a2216))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c2_1 tptp.a2216))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.c0_1 tptp.a2216))) (let ((_let_36 (and tptp.ndr1_0 _let_35 _let_34 _let_32))) (let ((_let_37 (tptp.c3_1 tptp.a2211))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c2_1 tptp.a2211))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c0_1 tptp.a2211))) (let ((_let_42 (not _let_41))) (let ((_let_43 (and tptp.ndr1_0 _let_42 _let_40 _let_38))) (let ((_let_44 (tptp.c1_1 tptp.a2197))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c3_1 tptp.a2197))) (let ((_let_47 (tptp.c2_1 tptp.a2197))) (let ((_let_48 (and tptp.ndr1_0 _let_47 _let_46 _let_45))) (let ((_let_49 (tptp.c3_1 tptp.a2195))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c2_1 tptp.a2195))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.c1_1 tptp.a2195))) (let ((_let_54 (not _let_53))) (let ((_let_55 (and tptp.ndr1_0 _let_54 _let_52 _let_50))) (let ((_let_56 (tptp.c2_1 tptp.a2194))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c3_1 tptp.a2194))) (let ((_let_59 (tptp.c0_1 tptp.a2194))) (let ((_let_60 (and tptp.ndr1_0 _let_59 _let_58 _let_57))) (let ((_let_61 (not tptp.hskp15))) (let ((_let_62 (tptp.c2_1 tptp.a2193))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c1_1 tptp.a2193))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.c3_1 tptp.a2193))) (let ((_let_67 (and tptp.ndr1_0 _let_66 _let_65 _let_63))) (let ((_let_68 (tptp.c3_1 tptp.a2191))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c1_1 tptp.a2191))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.c0_1 tptp.a2191))) (let ((_let_73 (and tptp.ndr1_0 _let_72 _let_71 _let_69))) (let ((_let_74 (tptp.c1_1 tptp.a2187))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.c2_1 tptp.a2187))) (let ((_let_77 (tptp.c0_1 tptp.a2187))) (let ((_let_78 (and tptp.ndr1_0 _let_77 _let_76 _let_75))) (let ((_let_79 (tptp.c1_1 tptp.a2186))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.c0_1 tptp.a2186))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c3_1 tptp.a2186))) (let ((_let_84 (and tptp.ndr1_0 _let_83 _let_82 _let_80))) (let ((_let_85 (not tptp.hskp10))) (let ((_let_86 (tptp.c1_1 tptp.a2185))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c0_1 tptp.a2185))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c2_1 tptp.a2185))) (let ((_let_91 (and tptp.ndr1_0 _let_90 _let_89 _let_87))) (let ((_let_92 (tptp.c0_1 tptp.a2182))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c3_1 tptp.a2182))) (let ((_let_95 (tptp.c2_1 tptp.a2182))) (let ((_let_96 (and tptp.ndr1_0 _let_95 _let_94 _let_93))) (let ((_let_97 (tptp.c1_1 tptp.a2180))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c3_1 tptp.a2180))) (let ((_let_100 (tptp.c0_1 tptp.a2180))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_99 _let_98))) (let ((_let_102 (tptp.c3_1 tptp.a2177))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c1_1 tptp.a2177))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c0_1 tptp.a2177))) (let ((_let_107 (not _let_106))) (let ((_let_108 (and tptp.ndr1_0 _let_107 _let_105 _let_103))) (let ((_let_109 (tptp.c3_1 tptp.a2176))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c0_1 tptp.a2176))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.c1_1 tptp.a2176))) (let ((_let_114 (and tptp.ndr1_0 _let_113 _let_112 _let_110))) (let ((_let_115 (tptp.c3_1 tptp.a2175))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c0_1 tptp.a2175))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c2_1 tptp.a2175))) (let ((_let_120 (and tptp.ndr1_0 _let_119 _let_118 _let_116))) (let ((_let_121 (tptp.c0_1 tptp.a2174))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.c2_1 tptp.a2174))) (let ((_let_124 (tptp.c1_1 tptp.a2174))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_123 _let_122))) (let ((_let_126 (not (not (and (or (not tptp.hskp0) _let_125) (or (not tptp.hskp1) _let_120) (or (not tptp.hskp2) _let_114) (or (not tptp.hskp3) _let_108) (or (not tptp.hskp4) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2179) (tptp.c2_1 tptp.a2179) (not (tptp.c3_1 tptp.a2179)))) (or (not tptp.hskp5) _let_101) (or (not tptp.hskp6) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2181) (tptp.c2_1 tptp.a2181) (not (tptp.c3_1 tptp.a2181)))) (or (not tptp.hskp7) _let_96) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2184) (tptp.c1_1 tptp.a2184) (not (tptp.c3_1 tptp.a2184)))) (or (not tptp.hskp9) _let_91) (or _let_85 _let_84) (or (not tptp.hskp11) _let_78) (or (not tptp.hskp12) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2189) (not (tptp.c2_1 tptp.a2189)) (not (tptp.c3_1 tptp.a2189)))) (or (not tptp.hskp13) _let_73) (or (not tptp.hskp14) _let_67) (or _let_61 _let_60) (or (not tptp.hskp16) _let_55) (or (not tptp.hskp17) _let_48) (or (not tptp.hskp18) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2198) (not (tptp.c1_1 tptp.a2198)) (not (tptp.c2_1 tptp.a2198)))) (or (not tptp.hskp19) _let_43) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2213) (tptp.c1_1 tptp.a2213) (not (tptp.c2_1 tptp.a2213)))) (or (not tptp.hskp21) _let_36) (or (not tptp.hskp22) _let_30) (or (not tptp.hskp23) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a2248)) (not (tptp.c1_1 tptp.a2248)) (not (tptp.c2_1 tptp.a2248)))) (or _let_24 _let_23) (or (not tptp.hskp25) (and tptp.ndr1_0 (tptp.c1_1 tptp.a2265) (tptp.c3_1 tptp.a2265) (not (tptp.c2_1 tptp.a2265)))) (or (not tptp.hskp26) _let_18) (or (not tptp.hskp27) _let_12) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c0_1 tptp.a2188) (tptp.c1_1 tptp.a2188) (tptp.c2_1 tptp.a2188))) (or (not tptp.hskp29) _let_8) (or (not tptp.hskp30) _let_4) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c3_1 V) (not (tptp.c2_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 Y) (not (tptp.c0_1 Y)) (not (tptp.c3_1 Y))))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Z) (tptp.c3_1 Z) (not (tptp.c1_1 Z)))))) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c2_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X2) (not (tptp.c2_1 X2)) (not (tptp.c3_1 X2))))) tptp.hskp0) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (not (tptp.c1_1 X5)) (not (tptp.c3_1 X5)))))) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c3_1 X6)))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X7) (tptp.c2_1 X7) (tptp.c3_1 X7)))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X8) (not (tptp.c0_1 X8)) (not (tptp.c2_1 X8)))))) (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.c1_1 X10) (not (tptp.c2_1 X10)) (not (tptp.c3_1 X10))))) tptp.hskp1) (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.c2_1 X12)) (not (tptp.c3_1 X12))))) tptp.hskp2) (or (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c2_1 X13))))) (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c2_1 X14) (not (tptp.c1_1 X14))))) tptp.hskp3) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (not (tptp.c1_1 X16)) (not (tptp.c2_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X17)) (not (tptp.c1_1 X17)) (not (tptp.c3_1 X17)))))) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c2_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (not (tptp.c1_1 X19)) (not (tptp.c2_1 X19))))) tptp.hskp27) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c2_1 X20))))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21)) (not (tptp.c3_1 X21))))) tptp.hskp4) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c1_1 X22) (not (tptp.c2_1 X22))))) tptp.hskp5 tptp.hskp6) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c1_1 X23) (not (tptp.c3_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X25) (tptp.c3_1 X25) (not (tptp.c1_1 X25)))))) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c1_1 X26) (not (tptp.c3_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c3_1 X27) (not (tptp.c2_1 X27))))) tptp.hskp7) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c1_1 X28) (not (tptp.c3_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (not (tptp.c1_1 X29)) (not (tptp.c2_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X30) (tptp.c2_1 X30) (tptp.c3_1 X30))))) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c1_1 X31) (not (tptp.c3_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X32) (not (tptp.c1_1 X32)) (not (tptp.c3_1 X32))))) tptp.hskp0) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c1_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X34) (not (tptp.c0_1 X34)) (not (tptp.c1_1 X34))))) tptp.hskp8) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c1_1 X35) (not (tptp.c3_1 X35))))) tptp.hskp9 tptp.hskp10) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (tptp.c3_1 X36)))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c3_1 X37))))) tptp.hskp11) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (tptp.c3_1 X38)))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X39)) (not (tptp.c2_1 X39)) (not (tptp.c3_1 X39))))) tptp.hskp28) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (tptp.c2_1 X40) (not (tptp.c1_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (not (tptp.c2_1 X41)) (not (tptp.c3_1 X41))))) tptp.hskp12) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X43) (tptp.c3_1 X43) (not (tptp.c2_1 X43))))) tptp.hskp10) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (tptp.c2_1 X44) (not (tptp.c3_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X45) (tptp.c3_1 X45) (not (tptp.c0_1 X45))))) tptp.hskp13) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (tptp.c2_1 X46) (not (tptp.c3_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X47) (not (tptp.c0_1 X47)) (not (tptp.c1_1 X47))))) tptp.hskp11) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c3_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X50)) (not (tptp.c2_1 X50)) (not (tptp.c3_1 X50)))))) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (tptp.c3_1 X51) (not (tptp.c1_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X52) (not (tptp.c1_1 X52)) (not (tptp.c2_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c3_1 X53)))))) (or (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X54) (tptp.c3_1 X54) (not (tptp.c1_1 X54))))) (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X55) (tptp.c3_1 X55) (not (tptp.c1_1 X55))))) tptp.hskp14) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X56) (tptp.c3_1 X56) (not (tptp.c1_1 X56))))) tptp.hskp15 tptp.hskp16) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (tptp.c3_1 X57) (not (tptp.c1_1 X57))))) tptp.hskp29 tptp.hskp17) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (tptp.c3_1 X58) (not (tptp.c2_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (not (tptp.c0_1 X59)) (not (tptp.c2_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60)))))) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X61) (not (tptp.c1_1 X61)) (not (tptp.c2_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c3_1 X62) (not (tptp.c0_1 X62))))) tptp.hskp18) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X63) (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X64) (tptp.c3_1 X64) (not (tptp.c1_1 X64))))) tptp.hskp2) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66))))) tptp.hskp27) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X67) (not (tptp.c1_1 X67)) (not (tptp.c2_1 X67))))) tptp.hskp15 tptp.hskp3) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X68) (not (tptp.c2_1 X68)) (not (tptp.c3_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (not (tptp.c0_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c2_1 X70)))))) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X71) (not (tptp.c2_1 X71)) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c2_1 X72) (not (tptp.c0_1 X72))))) tptp.hskp29) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X73) (not (tptp.c2_1 X73)) (not (tptp.c3_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (tptp.c3_1 X75) (not (tptp.c0_1 X75)))))) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X76) (not (tptp.c2_1 X76)) (not (tptp.c3_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X77) (not (tptp.c0_1 X77)) (not (tptp.c1_1 X77))))) tptp.hskp16) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X78) (not (tptp.c2_1 X78)) (not (tptp.c3_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X79)) (not (tptp.c2_1 X79)) (not (tptp.c3_1 X79))))) tptp.hskp2) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (tptp.c2_1 X80) (tptp.c3_1 X80)))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (tptp.c3_1 X81) (not (tptp.c0_1 X81))))) tptp.hskp28) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c2_1 X82) (tptp.c3_1 X82)))) (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c3_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84)) (not (tptp.c3_1 X84)))))) (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.c3_1 X86) (not (tptp.c2_1 X86))))) tptp.hskp2) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (tptp.c2_1 X87) (not (tptp.c0_1 X87))))) tptp.hskp30 tptp.hskp1) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (tptp.c2_1 X88) (not (tptp.c0_1 X88))))) tptp.hskp16) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (tptp.c3_1 X89) (not (tptp.c0_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c2_1 X90))))) tptp.hskp19) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (tptp.c3_1 X91) (not (tptp.c0_1 X91))))) tptp.hskp28 tptp.hskp20) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (tptp.c3_1 X92) (not (tptp.c0_1 X92))))) tptp.hskp15 tptp.hskp0) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (tptp.c3_1 X93) (not (tptp.c2_1 X93))))) (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X94) (not (tptp.c0_1 X94)) (not (tptp.c1_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95)) (not (tptp.c3_1 X95)))))) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c2_1 X96))))) (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X97) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp21) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X98) (not (tptp.c0_1 X98)) (not (tptp.c2_1 X98))))) (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X99) (not (tptp.c2_1 X99)) (not (tptp.c3_1 X99))))) tptp.hskp10) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X100) (not (tptp.c0_1 X100)) (not (tptp.c2_1 X100))))) tptp.hskp28 tptp.hskp22) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X101) (not (tptp.c0_1 X101)) (not (tptp.c3_1 X101))))) tptp.hskp13 tptp.hskp16) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X102) (not (tptp.c2_1 X102)) (not (tptp.c3_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X103)) (not (tptp.c2_1 X103)) (not (tptp.c3_1 X103))))) tptp.hskp27) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X104) (tptp.c3_1 X104) (not (tptp.c1_1 X104))))) tptp.hskp20 tptp.hskp16) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X105) (tptp.c3_1 X105) (not (tptp.c1_1 X105))))) tptp.hskp13 tptp.hskp16) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c1_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X107) (not (tptp.c0_1 X107)) (not (tptp.c1_1 X107))))) tptp.hskp18) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c1_1 X108))))) (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X109)) (not (tptp.c1_1 X109)) (not (tptp.c2_1 X109))))) tptp.hskp12) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X110) (not (tptp.c0_1 X110)) (not (tptp.c1_1 X110))))) tptp.hskp17 tptp.hskp10) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c1_1 X111))))) tptp.hskp29 tptp.hskp9) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X112) (not (tptp.c0_1 X112)) (not (tptp.c2_1 X112))))) tptp.hskp11 tptp.hskp10) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X113) (not (tptp.c1_1 X113)) (not (tptp.c2_1 X113))))) (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X114)) (not (tptp.c2_1 X114)) (not (tptp.c3_1 X114))))) tptp.hskp7) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X115) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115))))) tptp.hskp0 tptp.hskp22) (or (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X116)) (not (tptp.c1_1 X116)) (not (tptp.c3_1 X116))))) tptp.hskp27 tptp.hskp22) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X117)) (not (tptp.c2_1 X117)) (not (tptp.c3_1 X117))))) tptp.hskp11 tptp.hskp1) (or (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X118)) (not (tptp.c2_1 X118)) (not (tptp.c3_1 X118))))) tptp.hskp27 tptp.hskp16) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X119)) (not (tptp.c2_1 X119)) (not (tptp.c3_1 X119))))) tptp.hskp13 tptp.hskp19) (or tptp.hskp8 tptp.hskp4 tptp.hskp23) (or tptp.hskp5 tptp.hskp2 tptp.hskp19) (or tptp.hskp5 tptp.hskp19 tptp.hskp16) (or tptp.hskp15 tptp.hskp3 tptp.hskp16) (or tptp.hskp13 tptp.hskp0 tptp.hskp10) (or tptp.hskp13 tptp.hskp24 tptp.hskp14) (or tptp.hskp21 tptp.hskp25 tptp.hskp22) (or tptp.hskp24 tptp.hskp26 tptp.hskp17) (or tptp.hskp24 tptp.hskp2 tptp.hskp9) (or tptp.hskp17 tptp.hskp3 tptp.hskp16)))))) (let ((_let_127 (not _let_46))) (let ((_let_128 (tptp.c0_1 tptp.a2197))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_44 _let_129 _let_127))) (let ((_let_131 (forall ((X57 $$unsorted)) (or (tptp.c0_1 X57) (tptp.c3_1 X57) (not (tptp.c1_1 X57)))))) (let ((_let_132 (not _let_5))) (let ((_let_133 (not _let_7))) (let ((_let_134 (tptp.c0_1 tptp.a2196))) (let ((_let_135 (or _let_134 _let_133 _let_132))) (let ((_let_136 (not _let_17))) (let ((_let_137 (tptp.c3_1 tptp.a2268))) (let ((_let_138 (or _let_13 _let_137 _let_136))) (let ((_let_139 (not _let_6))) (let ((_let_140 (not _let_134))) (let ((_let_141 (or _let_140 _let_139 _let_132))) (let ((_let_142 (not _let_137))) (let ((_let_143 (or _let_15 _let_13 _let_142))) (let ((_let_144 (forall ((X12 $$unsorted)) (or (not (tptp.c0_1 X12)) (not (tptp.c2_1 X12)) (not (tptp.c3_1 X12)))))) (let ((_let_145 (forall ((X42 $$unsorted)) (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42)))))) (let ((_let_146 (forall ((X43 $$unsorted)) (or (tptp.c1_1 X43) (tptp.c3_1 X43) (not (tptp.c2_1 X43)))))) (let ((_let_147 (forall ((X113 $$unsorted)) (or (tptp.c3_1 X113) (not (tptp.c1_1 X113)) (not (tptp.c2_1 X113)))))) (let ((_let_148 (tptp.c2_1 tptp.a2177))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_104 _let_102 _let_149))) (let ((_let_151 (or _let_106 _let_104 _let_148))) (let ((_let_152 (not _let_94))) (let ((_let_153 (not _let_95))) (let ((_let_154 (or _let_92 _let_153 _let_152))) (let ((_let_155 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_156 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (not (tptp.c2_1 W)) (not (tptp.c3_1 W)))))) (let ((_let_157 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c3_1 V) (not (tptp.c2_1 V)))))) (let ((_let_158 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c3_1 X24) (not (tptp.c1_1 X24)))))) (let ((_let_159 (tptp.c1_1 tptp.a2175))) (let ((_let_160 (not _let_159))) (let ((_let_161 (or _let_117 _let_115 _let_160))) (let ((_let_162 (tptp.c1_1 tptp.a2211))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_41 _let_37 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_let_19 false _let_21 false _let_22)))) (let ((_let_546 (AND_ELIM _let_245 :args (24)))) (let ((_let_547 (not _let_91))) (let ((_let_548 (_let_192))) (let ((_let_549 ((not (= (tptp.c0_1 X3) true))))) (let ((_let_550 (ASSUME :args _let_548))) (let ((_let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a2177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)))) (let ((_let_552 ((not (= (tptp.c1_1 X3) true))))) (let ((_let_553 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_548)))) (let ((_let_554 (not _let_193))) (let ((_let_555 (not _let_108))) (let ((_let_556 (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_107 _let_555))))) (let ((_let_557 (REORDERING (CNF_AND_POS :args (_let_108 2)) :args ((or _let_105 _let_555))))) (let ((_let_558 (REORDERING (CNF_AND_POS :args (_let_108 3)) :args ((or _let_103 _let_555))))) (let ((_let_559 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_106 _let_104 _let_102 _let_554))) _let_558 _let_557 _let_556 :args ((or _let_555 _let_554) true _let_102 true _let_104 true _let_106)))) (let ((_let_560 (AND_ELIM _let_245 :args (3)))) (let ((_let_561 (not _let_186))) (let ((_let_562 (not _let_195))) (let ((_let_563 (CNF_OR_NEG :args (_let_196 0)))) (let ((_let_564 (CNF_OR_NEG :args (_let_196 1)))) (let ((_let_565 (CNF_OR_NEG :args (_let_196 2)))) (let ((_let_566 (REORDERING (CNF_OR_POS :args (_let_186)) :args ((or _let_185 _let_184 _let_183 _let_561))))) (let ((_let_567 (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_185 _let_194 _let_182 _let_562))))) (let ((_let_568 (not _let_197))) (let ((_let_569 (_let_568))) (let ((_let_570 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_569)) :args _let_569)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_568) _let_197))) (REFL :args ((not _let_196))) :args _let_469)))) (let ((_let_571 (REORDERING (AND_ELIM 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_let_215))))) (let ((_let_602 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_215 2)) (CONG _let_600 (MACRO_SR_PRED_INTRO :args ((= (not _let_214) _let_213))) :args _let_469)) :args ((or _let_213 _let_215))))) (let ((_let_603 (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_189 _let_188 _let_190 (not _let_191)))))) (let ((_let_604 (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_189 _let_214 _let_217 (not _let_218)))))) (let ((_let_605 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_528 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_527)) :args _let_526)))) (let ((_let_606 (forall ((X15 $$unsorted)) (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15)))))) (let ((_let_607 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (tptp.c1_1 X13) (not (tptp.c2_1 X13)))))) (let ((_let_608 (or _let_431 _let_430 _let_440))) (let ((_let_609 (AND_ELIM _let_245 :args (39)))) (let ((_let_610 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_607 (= X13 X15)))))) (let 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(REORDERING (CNF_OR_POS :args (_let_615)) :args ((or _let_208 _let_207 _let_228 _let_621))))) (let ((_let_627 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_620)) :args ((or _let_208 _let_207 _let_619 (not _let_620)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) _let_626 _let_625 _let_624 _let_592 _let_623 _let_261 _let_588 _let_622 :args ((or tptp.hskp10 _let_201 _let_621) false _let_620 false _let_228 false _let_366 false _let_206 true _let_208 false _let_618 false tptp.ndr1_0 true _let_209 true _let_617)))) (let ((_let_628 (REORDERING (CNF_OR_NEG :args (_let_615 0)) :args ((or _let_619 _let_615))))) (let ((_let_629 (REORDERING (CNF_OR_POS :args (_let_230)) :args ((or _let_207 _let_205 _let_228 _let_616))))) (let ((_let_630 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_629 _let_628 _let_594 _let_624 _let_627 _let_588 :args ((or tptp.hskp10 _let_201 _let_616) 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_let_468 _let_518 _let_516 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a2185 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_515 _let_511 _let_261 _let_510 _let_501 _let_500 _let_499 (MACRO_RESOLUTION_TRUST _let_498 _let_497 (REORDERING (CNF_OR_POS :args (_let_432)) :args ((or _let_431 _let_429 _let_430 (not _let_432)))) _let_493 _let_492 _let_491 _let_489 _let_488 _let_261 _let_487 _let_484 _let_483 _let_479 _let_478 _let_477 _let_476 _let_474 _let_473 _let_468 _let_464 _let_459 _let_458 _let_457 _let_456 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_448)) :args _let_447)) _let_450 :args ((or tptp.hskp2 tptp.hskp13 _let_446 _let_393) false _let_445 false _let_430 false _let_443 false _let_428 false _let_439 true _let_431 false _let_442 false tptp.ndr1_0 true _let_441 true _let_438 true _let_156 true _let_437 false _let_169 false _let_433 false _let_167 true _let_170 true _let_435 true _let_220 true _let_223 false _let_125 false tptp.hskp0 true tptp.hskp10 true _let_84 false _let_432 false _let_227)) _let_427 _let_426 _let_420 _let_416 _let_261 _let_415 _let_414 _let_413 _let_409 _let_408 _let_407 _let_406 _let_405 _let_404 _let_259 _let_260 _let_258 _let_403 _let_401 _let_400 _let_261 _let_399 _let_398 _let_397 :args ((or tptp.hskp2 _let_192 _let_396 _let_395 _let_394 _let_393) false _let_374 true _let_86 true _let_88 false _let_90 false _let_91 false tptp.hskp9 true tptp.hskp24 true _let_23 false _let_392 false _let_389 false _let_388 false _let_387 false _let_384 false _let_219 false tptp.ndr1_0 false _let_201 true tptp.hskp0 false _let_382 false tptp.ndr1_0 true _let_125 true tptp.hskp1 false _let_381 false _let_223 true _let_120 false _let_220 false _let_375 false _let_372 false _let_371 false tptp.ndr1_0 false _let_157 true _let_224 true _let_370 true _let_369 true _let_225 true tptp.hskp13 true _let_73 false _let_368 false _let_366 false 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_let_171 false _let_166 false _let_164 false _let_161)))) (let ((_let_631 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_158 (= X24 X57)))))) (let ((_let_632 (REORDERING (AND_ELIM _let_245 :args (59)) :args ((or tptp.hskp17 tptp.hskp29 _let_288 _let_131))))) (let ((_let_633 (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4)))))) (let ((_let_634 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_635 (not _let_634))) (let ((_let_636 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_637 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_638 (or _let_637 _let_636 _let_635))) (let ((_let_639 (not _let_638))) (let ((_let_640 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_641 (not _let_640))) (let ((_let_642 (or _let_634 _let_636 _let_641))) (let ((_let_643 (forall ((Z $$unsorted)) (or (tptp.c2_1 Z) (tptp.c3_1 Z) (not (tptp.c1_1 Z)))))) (let ((_let_644 (forall ((X55 $$unsorted)) (or (tptp.c2_1 X55) (tptp.c3_1 X55) (not 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_let_644 _let_655))))) (let ((_let_658 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_643 (= Z X105)))))) (let ((_let_659 (forall ((X25 $$unsorted)) (or (tptp.c2_1 X25) (tptp.c3_1 X25) (not (tptp.c1_1 X25)))))) (let ((_let_660 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_661 (not _let_660))) (let ((_let_662 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_663 (not _let_662))) (let ((_let_664 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_665 (or _let_664 _let_663 _let_661))) (let ((_let_666 (or _let_104 _let_148 _let_102))) (let ((_let_667 (tptp.c0_1 tptp.a2193))) (let ((_let_668 (not _let_667))) (let ((_let_669 (or _let_64 _let_62 _let_668))) (let ((_let_670 (or _let_70 _let_68 _let_367))) (let ((_let_671 (or _let_106 _let_102 _let_149))) (let ((_let_672 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_643 (= Z X25)))))) (let ((_let_673 (forall ((X64 $$unsorted)) (or (tptp.c2_1 X64) (tptp.c3_1 X64) (not (tptp.c1_1 X64)))))) (let ((_let_674 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_675 (not _let_674))) (let ((_let_676 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_677 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_678 (or _let_677 _let_676 _let_675))) (let ((_let_679 (not _let_66))) (let ((_let_680 (or _let_667 _let_64 _let_679))) (let ((_let_681 (forall ((X51 $$unsorted)) (or (tptp.c0_1 X51) (tptp.c3_1 X51) (not (tptp.c1_1 X51)))))) (let ((_let_682 (forall ((X54 $$unsorted)) (or (tptp.c0_1 X54) (tptp.c3_1 X54) (not (tptp.c1_1 X54)))))) (let ((_let_683 (or _let_64 _let_668 _let_679))) (let ((_let_684 (forall ((X53 $$unsorted)) (or (tptp.c1_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c3_1 X53)))))) (let ((_let_685 (forall ((X52 $$unsorted)) (or (tptp.c0_1 X52) (not (tptp.c1_1 X52)) (not (tptp.c2_1 X52)))))) (let ((_let_686 (or _let_380 _let_376 _let_386))) (let ((_let_687 (not _let_665))) (let ((_let_688 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_643 (= Z X64)))))) (let ((_let_689 (_let_655))) (let ((_let_690 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_691 (not _let_690))) (let ((_let_692 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_693 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_694 (or _let_693 _let_692 _let_691))) (let ((_let_695 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_696 (or _let_695 _let_676 _let_675))) (let ((_let_697 (not _let_695))) (let ((_let_698 (or _let_677 _let_676 _let_697))) (let ((_let_699 (REORDERING (EQUIV_ELIM1 _let_279) :args ((or _let_252 _let_568))))) (let ((_let_700 (AND_ELIM _let_245 :args (43)))) (let ((_let_701 (_let_446))) (let ((_let_702 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_701)) :args _let_701)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_446) _let_225))) (REFL :args ((not _let_694))) :args _let_469)))) (let ((_let_703 (_let_652))) (let ((_let_704 ((not (= (tptp.c2_1 X45) true))))) (let ((_let_705 (ASSUME :args _let_703))) (let ((_let_706 (or _let_182 _let_185 _let_184))) (let ((_let_707 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_708 (or _let_707 _let_660 _let_663))) (let ((_let_709 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_710 (or _let_693 _let_709 _let_691))) (let ((_let_711 (not _let_709))) (let ((_let_712 (or _let_693 _let_692 _let_711))) (let ((_let_713 (or _let_707 _let_664 _let_663))) (let ((_let_714 (not _let_172))) (let ((_let_715 (_let_145))) (let ((_let_716 ((not (= (tptp.c0_1 X42) true))))) (let ((_let_717 (ASSUME :args _let_715))) (let ((_let_718 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_715)))) (let ((_let_719 (not _let_710))) (let ((_let_720 (not _let_712))) (let ((_let_721 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_710)) :args ((or _let_693 _let_691 _let_709 _let_719))) (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_693 _let_692 _let_711 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X63)))))) (let ((_let_730 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_158 (= X24 X51)))))) (let ((_let_731 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_158 (= X24 X54)))))) (let ((_let_732 (AND_ELIM _let_245 :args (57)))) (let ((_let_733 (AND_ELIM _let_245 :args (14)))) (let ((_let_734 (AND_ELIM _let_245 :args (29)))) (let ((_let_735 (not _let_67))) (let ((_let_736 (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_66 _let_735))))) (let ((_let_737 (REORDERING (CNF_AND_POS :args (_let_67 2)) :args ((or _let_65 _let_735))))) (let ((_let_738 (REORDERING (CNF_AND_POS :args (_let_67 3)) :args ((or _let_63 _let_735))))) (let ((_let_739 (not _let_8))) (let ((_let_740 (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_7 _let_739))))) (let ((_let_741 (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 _let_739))))) (let ((_let_742 (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_739))))) (let ((_let_743 (not _let_680))) (let ((_let_744 (REORDERING (CNF_OR_POS :args (_let_680)) :args ((or _let_64 _let_679 _let_667 _let_743))))) (let ((_let_745 (not _let_683))) (let ((_let_746 (MACRO_RESOLUTION_TRUST _let_744 (REORDERING (CNF_OR_POS :args (_let_683)) :args ((or _let_64 _let_679 _let_668 _let_745))) :args ((or _let_64 _let_679 _let_743 _let_745) true _let_667)))) (let ((_let_747 (not _let_669))) (let ((_let_748 (REORDERING (CNF_OR_POS :args (_let_669)) :args ((or _let_64 _let_62 _let_668 _let_747))))) (let ((_let_749 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a2193 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)))) (let ((_let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (tptp.a2193 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_351)) :args _let_350)))) (let ((_let_751 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_303 (= Y X53)))))) (let ((_let_752 (AND_ELIM _let_245 :args (56)))) (let ((_let_753 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_220 (= X16 X52)))))) (let ((_let_754 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_317 :args (tptp.a2196 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_316)) :args _let_315)))) (let ((_let_755 (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_139 _let_132 _let_140 (not _let_141)))))) (let ((_let_756 (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_133 _let_132 _let_134 (not _let_135)))))) (let ((_let_757 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_541 :args (tptp.a2196 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_539)))) (let ((_let_758 (not _let_686))) (let ((_let_759 (AND_ELIM _let_245 :args (52)))) (let ((_let_760 (AND_ELIM _let_245 :args (85)))) (let ((_let_761 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_157 (= V X4)))))) (let ((_let_762 (AND_ELIM _let_245 :args (34)))) (let ((_let_763 (REORDERING (AND_ELIM _let_245 :args (104)) :args ((or tptp.hskp17 tptp.hskp24 tptp.hskp26))))) (let ((_let_764 (AND_ELIM _let_245 :args (26)))) (let ((_let_765 (not _let_18))) (let ((_let_766 (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_765))))) (let ((_let_767 (REORDERING (CNF_AND_POS :args (_let_18 2)) :args ((or _let_16 _let_765))))) (let ((_let_768 (REORDERING (CNF_AND_POS :args (_let_18 3)) :args ((or _let_14 _let_765))))) (let ((_let_769 (or _let_15 _let_137 _let_136))) (let ((_let_770 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (tptp.a2268 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_715)))) (let ((_let_771 (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_15 _let_13 _let_142 (not _let_143)))))) (let ((_let_772 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_201 (= X2 X74)))))) (let ((_let_773 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a2195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_548)))) (let ((_let_774 (tptp.c3_1 tptp.a2174))) (let ((_let_775 (or _let_121 _let_774 _let_221))) (let ((_let_776 (not _let_35))) (let ((_let_777 (or _let_33 _let_31 _let_776))) (let ((_let_778 (not _let_774))) (let ((_let_779 (or _let_121 _let_221 _let_778))) (let ((_let_780 (not _let_36))) (let ((_let_781 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_652 (= X45 X75)))))) (let ((_let_782 (AND_ELIM _let_245 :args (67)))) (let ((_let_783 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= W X73)))))) (let ((_let_784 (or _let_208 _let_619 _let_205))) (let ((_let_785 (tptp.c2_1 tptp.a2186))) (let ((_let_786 (or _let_81 _let_79 _let_785))) (let ((_let_787 (not _let_785))) (let ((_let_788 (or _let_81 _let_787 _let_226))) (let ((_let_789 (REORDERING (CNF_OR_POS :args (_let_649)) :args ((or _let_53 _let_49 _let_648 (not _let_649)))))) (let ((_let_790 (REORDERING (CNF_OR_POS :args (_let_651)) :args ((or _let_51 _let_49 _let_650 (not _let_651)))))) (let ((_let_791 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_705 :args (tptp.a2195 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_703)))) (let ((_let_792 (MACRO_RESOLUTION_TRUST _let_782 _let_261 _let_783 _let_781 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 W) false))))) :args _let_480)) _let_791 _let_629 _let_790 _let_628 _let_789 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.a2186 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_481)) :args _let_480)) (REORDERING (CNF_OR_POS :args (_let_788)) :args ((or _let_81 _let_226 _let_787 (not _let_788)))) _let_783 (REORDERING (CNF_OR_POS :args (_let_786)) :args ((or _let_81 _let_79 _let_785 (not _let_786)))) _let_782 _let_261 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_412 :args (tptp.a2186 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_411)) :args _let_410)) _let_781 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_155 (= U X)))) _let_791 (AND_ELIM _let_245 :args (32)) _let_261 _let_790 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)) _let_789 (REORDERING (CNF_OR_POS :args (_let_784)) :args ((or _let_208 _let_205 _let_619 (not _let_784)))) _let_773 _let_455 _let_454 _let_453 _let_626 _let_398 _let_457 _let_594 _let_624 _let_592 _let_520 _let_261 _let_627 _let_588 _let_772 _let_521 :args ((or tptp.hskp1 _let_53 _let_51 _let_49 _let_643 _let_201 _let_621) true _let_788 false _let_156 false _let_785 false _let_654 false tptp.ndr1_0 false _let_786 true _let_653 false _let_155 true _let_652 false (forall ((X $$unsorted)) (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X))) false tptp.ndr1_0 true _let_651 true _let_303 false _let_648 true _let_784 false _let_649 true _let_79 true _let_81 false _let_83 false _let_228 false _let_192 false _let_84 false _let_204 false _let_206 true _let_208 false _let_358 false tptp.ndr1_0 false tptp.hskp10 true _let_209 true _let_646 true _let_382)) _let_273 _let_272 _let_271 _let_265 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_779)) :args ((or _let_121 _let_221 _let_778 (not _let_779)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (tptp.a2174 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_481)) :args _let_480)) (REORDERING (CNF_OR_POS :args (_let_775)) :args ((or _let_121 _let_221 _let_774 (not _let_775)))) _let_783 _let_463 _let_462 _let_782 _let_261 _let_459 _let_781 _let_522 _let_261 _let_501 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_705 :args (tptp.a2216 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_703)) _let_605 _let_450 (REORDERING (CNF_OR_POS :args (_let_777)) :args ((or _let_33 _let_31 _let_776 (not _let_777)))) _let_604 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a2174 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_456 (REORDERING (CNF_AND_POS :args (_let_36 3)) :args ((or _let_32 _let_780))) (REORDERING (CNF_AND_POS :args (_let_36 2)) :args ((or _let_34 _let_780))) (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_35 _let_780))) _let_603 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_157 (= V X58)))) _let_457 (AND_ELIM _let_245 :args (21)) _let_602 _let_601 _let_599 (AND_ELIM _let_245 :args (60)) _let_261 _let_623 _let_261 (AND_ELIM _let_245 :args (79)) _let_261 _let_597 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_210 (= X49 X60)))) _let_625 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_366 (= X8 X96)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_366 (= X8 X59)))) _let_590 _let_420 _let_585 _let_426 _let_583 _let_582 _let_581 _let_356 _let_354 _let_574 _let_427 _let_255 _let_572 _let_760 _let_261 _let_263 _let_261 :args ((or tptp.hskp3 tptp.hskp16 _let_646 _let_647 _let_617 _let_645) false _let_779 false _let_774 false _let_156 true _let_121 false _let_123 false _let_654 false tptp.ndr1_0 false _let_125 true _let_653 false tptp.hskp0 false tptp.ndr1_0 true _let_224 true _let_652 true _let_219 true _let_225 true _let_777 true _let_218 false _let_775 true _let_227 true _let_31 true _let_33 false _let_35 false _let_190 false _let_157 false _let_84 false _let_36 false _let_213 false _let_187 true _let_189 false (forall ((X58 $$unsorted)) (or (tptp.c0_1 X58) (tptp.c3_1 X58) (not (tptp.c2_1 X58)))) false tptp.ndr1_0 false tptp.hskp10 false tptp.ndr1_0 false tptp.hskp21 false tptp.ndr1_0 true _let_215 true (forall ((X60 $$unsorted)) (or (tptp.c2_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60)))) true _let_618 true (forall ((X96 $$unsorted)) (or (tptp.c1_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c2_1 X96)))) true (forall ((X59 $$unsorted)) (or (tptp.c1_1 X59) (not (tptp.c0_1 X59)) (not (tptp.c2_1 X59)))) true _let_210 true _let_366 true _let_203 true _let_368 true _let_56 false _let_58 false _let_59 false _let_191 false _let_178 false _let_60 false _let_73 false _let_172 false tptp.hskp15 false tptp.hskp13 false tptp.ndr1_0 false _let_248 false tptp.ndr1_0)) _let_560 _let_559 _let_773 _let_551 _let_398 _let_594 _let_624 _let_520 _let_261 _let_588 _let_622 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_201 (= X2 X97)))) _let_772 _let_521 (MACRO_RESOLUTION_TRUST _let_408 _let_407 _let_406 _let_405 _let_404 _let_259 _let_260 _let_258 _let_403 _let_401 _let_400 _let_261 _let_246 _let_413 _let_244 _let_510 _let_237 _let_236 _let_499 _let_700 _let_261 (MACRO_RESOLUTION_TRUST _let_748 _let_744 _let_738 _let_737 _let_736 _let_733 _let_732 _let_261 _let_731 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (tptp.a2268 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_233)) :args _let_232)) (REORDERING (CNF_OR_POS :args (_let_769)) :args ((or _let_15 _let_136 _let_137 (not _let_769)))) _let_771 _let_770 _let_759 _let_261 _let_457 _let_456 _let_726 _let_450 :args ((or _let_15 _let_13 _let_146 _let_644 _let_136 _let_446 _let_747) false _let_667 true _let_62 true _let_64 false _let_66 false _let_67 false tptp.hskp14 false tptp.ndr1_0 true _let_682 true _let_158 true _let_769 true _let_137 false _let_143 false _let_145 false tptp.ndr1_0 true tptp.hskp10 true _let_84 false _let_680 false _let_227)) _let_768 _let_767 _let_766 _let_764 _let_763 _let_546 _let_545 _let_542 _let_762 _let_261 _let_761 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a2177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_267 :args (tptp.a2191 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_266)) _let_399 (REORDERING (CNF_OR_POS :args (_let_671)) :args ((or _let_106 _let_102 _let_149 (not _let_671)))) (REORDERING (CNF_OR_POS :args (_let_670)) :args ((or _let_70 _let_68 _let_367 (not _let_670)))) _let_551 (REORDERING (CNF_OR_POS :args (_let_666)) :args ((or _let_104 _let_102 _let_148 (not _let_666)))) _let_425 (REORDERING (CNF_AND_POS :args (_let_73 3)) :args ((or _let_69 _let_422))) _let_424 _let_423 _let_559 _let_558 _let_557 _let_556 _let_750 _let_354 _let_353 _let_427 _let_560 _let_255 _let_760 _let_261 _let_571 _let_263 _let_261 _let_265 _let_274 _let_278 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (tptp.a2177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_276)) :args _let_275)) _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_717 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_716)) :args _let_715)) _let_759 _let_261 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_686)) :args ((or _let_380 _let_386 _let_376 _let_758))) _let_535 _let_534 _let_533 _let_531 :args ((or _let_388 _let_530 _let_758) true _let_376 false _let_385 false _let_378 true _let_380)) _let_331 _let_538 _let_336 _let_757 _let_341 _let_756 _let_337 _let_755 _let_335 _let_334 _let_333 _let_754 _let_519 _let_290 _let_318 _let_753 _let_289 _let_261 _let_319 _let_261 _let_752 _let_261 _let_287 _let_320 _let_751 _let_750 _let_749 _let_748 _let_746 _let_744 _let_742 _let_741 _let_740 _let_738 _let_737 _let_736 _let_734 _let_733 _let_632 _let_261 _let_732 _let_261 _let_631 _let_731 _let_730 _let_237 _let_244 _let_246 (MACRO_RESOLUTION_TRUST _let_397 _let_553 _let_416 _let_261 _let_567 _let_420 _let_566 _let_426 _let_355 _let_354 _let_342 _let_427 _let_458 _let_459 _let_464 _let_468 _let_729 _let_728 _let_261 _let_564 _let_563 _let_565 _let_570 _let_699 :args ((or tptp.hskp1 tptp.hskp2 tptp.hskp10 _let_673 _let_252) true _let_192 false _let_357 false tptp.ndr1_0 true _let_195 true _let_366 true _let_182 true _let_368 false _let_186 false _let_178 false _let_172 false _let_73 false tptp.hskp13 true tptp.hskp0 true _let_125 false _let_223 false _let_220 false _let_727 false tptp.ndr1_0 true _let_184 true _let_185 true _let_194 true _let_196 true _let_197)) _let_457 _let_456 _let_726 _let_450 (MACRO_RESOLUTION_TRUST _let_243 _let_242 _let_241 _let_240 _let_246 _let_262 _let_261 _let_264 _let_331 _let_336 _let_341 _let_337 _let_335 _let_334 _let_333 _let_290 _let_289 _let_261 _let_287 _let_254 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_708)) :args ((or _let_707 _let_663 _let_660 _let_725))) (REORDERING (CNF_OR_POS :args (_let_665)) :args ((or _let_664 _let_663 _let_661 _let_687))) :args ((or _let_707 _let_664 _let_663 _let_725 _let_687) true _let_660)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_713 2)) (CONG (REFL :args (_let_713)) (MACRO_SR_PRED_INTRO :args ((= (not _let_663) _let_662))) :args _let_469)) :args ((or _let_662 _let_713))) (CNF_OR_NEG :args (_let_713 1)) (CNF_OR_NEG :args (_let_713 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_724)) :args _let_724)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_723) _let_607))) (REFL :args ((not _let_713))) :args _let_469)) _let_722 _let_721 _let_718 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_145 (= X42 X44)))) (AND_ELIM _let_245 :args (53)) _let_261 _let_427 _let_426 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_510 _let_420 _let_416 _let_261 _let_397 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_412 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 U) true))))) :args _let_410)) _let_553 (REORDERING (CNF_OR_POS :args (_let_706)) :args ((or _let_185 _let_184 _let_182 (not _let_706)))) _let_567 _let_566 _let_355 _let_354 _let_565 _let_563 _let_564 _let_570 :args ((or _let_197 _let_369 _let_652 _let_714 _let_694 _let_687) false _let_662 true _let_664 true _let_707 true _let_713 true _let_607 true _let_712 false _let_710 false _let_145 false (forall ((X44 $$unsorted)) (or (tptp.c0_1 X44) (tptp.c2_1 X44) (not (tptp.c3_1 X44)))) false tptp.ndr1_0 true tptp.hskp13 true _let_73 false _let_708 false _let_157 false _let_368 false _let_366 false tptp.ndr1_0 true _let_357 true _let_155 true _let_192 true _let_706 true _let_195 true _let_182 false _let_186 false _let_178 true _let_194 true _let_185 true _let_184 true _let_196)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_705 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_703)) (REORDERING (CNF_OR_POS :args (_let_698)) :args ((or _let_677 _let_676 _let_697 (not _let_698)))) (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_676 _let_675 _let_695 (not _let_696)))) _let_237 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X24) true))))) :args _let_232)) _let_702 _let_499 _let_700 _let_261 _let_699 :args ((or tptp.hskp1 _let_225 _let_659 _let_252 _let_677 _let_676 _let_675 _let_687) true _let_109 true _let_111 false _let_113 false _let_114 false tptp.hskp2 false tptp.ndr1_0 true _let_249 true _let_146 true _let_282 true _let_216 true _let_286 false _let_1 false _let_2 false _let_3 false _let_4 false tptp.hskp30 false tptp.ndr1_0 true _let_281 true _let_247 true _let_172 true _let_652 true _let_698 false _let_695 false _let_166 false _let_696 true _let_694 true _let_369 false _let_158 false tptp.ndr1_0 true _let_197)) _let_672 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_678 2)) (CONG (REFL :args (_let_678)) (MACRO_SR_PRED_INTRO :args ((= (not _let_675) _let_674))) :args _let_469)) :args ((or _let_674 _let_678))) (CNF_OR_NEG :args (_let_678 0)) (CNF_OR_NEG :args (_let_678 1)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_689)) :args _let_689)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_655) _let_643))) (REFL :args ((not _let_678))) :args _let_469)) _let_688 _let_657 :args ((or tptp.hskp1 tptp.hskp17 _let_644 _let_252 _let_687) false _let_145 false tptp.ndr1_0 true _let_686 true _let_146 true _let_388 true _let_282 true _let_389 true _let_216 true _let_135 true _let_286 true _let_134 false _let_1 false _let_2 false _let_3 false _let_141 false _let_381 false _let_4 false _let_144 false _let_220 false tptp.hskp30 false tptp.ndr1_0 false _let_300 false tptp.ndr1_0 false _let_685 false tptp.ndr1_0 true _let_281 true _let_302 true _let_684 true _let_172 true _let_303 true _let_669 true _let_683 false _let_667 false _let_5 false _let_6 false _let_7 true _let_62 true _let_64 false _let_66 false _let_8 false _let_67 false tptp.hskp29 false tptp.ndr1_0 false tptp.hskp14 false tptp.ndr1_0 true _let_131 true _let_682 true _let_681 true _let_158 true _let_166 false _let_114 false tptp.hskp2 true tptp.hskp10 true _let_84 false _let_680 false _let_227 false _let_225 true _let_659 false _let_674 true _let_677 true _let_676 true _let_678 true _let_673 true _let_643)) _let_573 _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_584 _let_658 _let_672 _let_657 :args ((or tptp.hskp1 _let_644 _let_586) true _let_162 true _let_37 true _let_39 true _let_41 false _let_43 false tptp.hskp19 true tptp.hskp5 true _let_101 false _let_362 false _let_144 false tptp.ndr1_0 true tptp.hskp2 false _let_363 true _let_114 false _let_155 false _let_166 false _let_164 true _let_369 false _let_158 false tptp.ndr1_0 true _let_225 true _let_13 true _let_15 false _let_17 false _let_18 false tptp.hskp26 true tptp.hskp24 true _let_23 false _let_392 false _let_389 false tptp.ndr1_0 true _let_633 true _let_157 true _let_146 true _let_359 true _let_671 true _let_670 true _let_192 false _let_148 false _let_177 true _let_68 true _let_70 false _let_72 true _let_193 true _let_102 true _let_104 true _let_106 false _let_669 false _let_178 false _let_175 false _let_73 false _let_108 false _let_172 false tptp.hskp13 false tptp.ndr1_0 false tptp.hskp3 false _let_248 false tptp.ndr1_0 true tptp.hskp16 true _let_55 false _let_198 false _let_666 false _let_197 false _let_252 true tptp.hskp17 true _let_48 false _let_665 false _let_200 true _let_645 true _let_659 true _let_643)) _let_658 _let_657 :args ((or tptp.hskp1 _let_644) false tptp.ndr1_0 true _let_654 true _let_653 true _let_156 true _let_652 true _let_230 true _let_651 true _let_228 false _let_648 true _let_615 true _let_49 true _let_51 true _let_53 false _let_55 false tptp.hskp16 true tptp.hskp3 true _let_108 false _let_649 false _let_193 false _let_192 false _let_204 false _let_206 false _let_358 false tptp.ndr1_0 true _let_209 true _let_617 true _let_647 true _let_646 true _let_382 true _let_201 true _let_645 true _let_643)))) (let ((_let_793 (or _let_117 _let_159 _let_115))) (let ((_let_794 (REORDERING (CNF_OR_POS :args (_let_793)) :args ((or _let_117 _let_115 _let_159 (not _let_793)))))) (let ((_let_795 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a2175 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)))) (let ((_let_796 (MACRO_RESOLUTION_TRUST _let_408 _let_407 _let_406 _let_405 _let_404 _let_259 _let_260 _let_258 _let_403 _let_353 _let_401 _let_254 _let_400 _let_261 _let_262 _let_261 _let_399 _let_264 _let_795 _let_268 _let_246 _let_794 _let_349 _let_413 _let_244 _let_348 _let_510 _let_237 _let_236 _let_235 _let_499 _let_700 _let_261 :args ((or _let_117 _let_115 _let_157 _let_225 _let_659 _let_250) true _let_162 true _let_37 true _let_39 true _let_41 false _let_43 false tptp.hskp19 true tptp.hskp5 true _let_101 false _let_175 false _let_362 false _let_172 false _let_144 false tptp.ndr1_0 false _let_247 false tptp.ndr1_0 true _let_359 true _let_249 true _let_192 true _let_146 true tptp.hskp2 true _let_793 true _let_251 false _let_363 true _let_114 true _let_159 false _let_155 false _let_166 false _let_164 false _let_161 true _let_369 false _let_158 false tptp.ndr1_0)))) (let ((_let_797 (MACRO_RESOLUTION_TRUST _let_748 _let_744 _let_738 _let_737 _let_736 _let_733 _let_732 _let_261 _let_731 (MACRO_RESOLUTION_TRUST _let_414 _let_409 _let_416 _let_261 _let_407 _let_420 _let_406 _let_405 _let_404 _let_426 _let_259 _let_427 _let_260 _let_458 _let_258 _let_459 _let_403 _let_464 _let_401 _let_468 _let_400 _let_261 _let_729 _let_399 _let_397 _let_728 _let_261 _let_795 _let_246 _let_794 _let_244 _let_348 _let_237 _let_236 _let_235 :args ((or tptp.hskp10 _let_117 _let_115 _let_673 _let_231 _let_396 _let_395) true _let_364 false _let_197 false tptp.ndr1_0 true _let_162 true _let_366 true _let_37 true _let_39 true _let_41 true _let_368 false _let_43 false _let_73 false tptp.hskp19 false tptp.hskp13 true tptp.hskp5 true tptp.hskp0 true _let_101 true _let_125 false _let_362 false _let_223 false _let_144 false tptp.ndr1_0 false _let_220 true _let_359 true _let_357 false _let_727 false tptp.ndr1_0 true _let_192 true tptp.hskp2 true _let_793 true _let_114 true _let_159 false _let_166 false _let_164 false _let_161)) _let_750 _let_354 _let_353 _let_688 _let_457 _let_456 _let_450 _let_726 _let_796 _let_672 _let_657 _let_515 _let_518 _let_345 _let_347 _let_346 _let_343 _let_792 :args ((or _let_644 _let_714) false _let_667 true _let_62 true _let_64 false _let_66 false _let_67 false tptp.hskp14 false tptp.ndr1_0 true _let_682 true _let_158 false _let_669 false _let_178 false _let_175 true _let_673 true tptp.hskp10 true _let_84 false _let_227 false _let_680 false _let_225 true _let_659 true _let_643 true _let_157 true _let_372 false _let_119 true _let_115 true _let_117 false _let_120 false tptp.hskp1)))) (let ((_let_798 (or _let_637 _let_636 _let_641))) (let ((_let_799 (or _let_117 _let_160 _let_250))) (let ((_let_800 (or _let_637 _let_641 _let_635))) (let ((_let_801 (or _let_637 _let_634 _let_636))) (let ((_let_802 (forall ((X36 $$unsorted)) (or (tptp.c0_1 X36) (tptp.c2_1 X36) (tptp.c3_1 X36))))) (let ((_let_803 (or _let_74 _let_305 _let_291))) (let ((_let_804 (not _let_798))) (let ((_let_805 (_let_231))) (let ((_let_806 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_805)) :args _let_805)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_231) _let_158))) (REFL :args (_let_804)) :args _let_469)))) (let ((_let_807 (CNF_OR_NEG :args (_let_798 0)))) (let ((_let_808 (CNF_OR_NEG :args (_let_798 1)))) (let ((_let_809 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_798 2)) (CONG (REFL :args (_let_798)) (MACRO_SR_PRED_INTRO :args ((= (not _let_641) _let_640))) :args _let_469)) :args ((or _let_640 _let_798))))) (let ((_let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_467 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_466)) :args _let_465)))) (let ((_let_811 (not _let_800))) (let ((_let_812 (REORDERING (CNF_OR_POS :args (_let_800)) :args ((or _let_637 _let_641 _let_635 _let_811))))) (let ((_let_813 (_let_802))) (let ((_let_814 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_656) (MACRO_RESOLUTION_TRUST _let_264 _let_262 _let_261 _let_268 _let_246 _let_349 _let_244 _let_348 _let_237 _let_235 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_803)) :args ((or _let_74 _let_305 _let_291 (not _let_803)))) _let_330 _let_329 _let_328 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (tptp.a2187 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_418)) :args _let_417)) _let_321 _let_416 _let_261 (AND_ELIM _let_245 :args (49)) _let_261 _let_397 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_813) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X36) true))))) :args _let_813)) _let_795 (REORDERING (CNF_OR_POS :args (_let_801)) :args ((or _let_637 _let_636 _let_634 (not _let_801)))) _let_794 _let_812 (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_117 _let_250 _let_160 (not _let_799)))) _let_810 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_467 :args (tptp.a2175 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_466)) :args _let_465)) _let_753 _let_752 _let_261 _let_751 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_303 (= Y X37)))) _let_749 _let_746 _let_737 _let_736 _let_733 _let_809 _let_808 _let_807 _let_732 _let_261 _let_806 _let_731 _let_730 _let_726 _let_796 _let_672 _let_657 _let_515 _let_518 _let_345 _let_347 _let_346 _let_343 _let_792 _let_278 _let_274 _let_265 _let_263 _let_261 _let_255 _let_797 :args ((or _let_158 _let_644) true _let_74 false _let_76 false _let_77 false _let_803 false _let_78 false _let_366 false tptp.ndr1_0 false tptp.hskp11 false tptp.ndr1_0 true _let_357 true _let_802 true _let_192 true _let_801 true _let_793 true _let_634 true _let_159 false _let_800 false _let_799 false _let_220 false _let_685 false tptp.ndr1_0 true _let_684 true (forall ((X37 $$unsorted)) (or (tptp.c1_1 X37) (not (tptp.c0_1 X37)) (not (tptp.c3_1 X37)))) true _let_303 true _let_683 true _let_64 false _let_66 false _let_67 false _let_640 true _let_636 true _let_637 false tptp.hskp14 false tptp.ndr1_0 true _let_798 true _let_682 true _let_681 false _let_680 false _let_225 true _let_659 true _let_643 true _let_157 true _let_372 false _let_119 true _let_115 true _let_117 false _let_120 false tptp.hskp1 true _let_197 true _let_198 false _let_55 false tptp.hskp16 false tptp.ndr1_0 true _let_248 true _let_172)) _let_254 _let_797 _let_347 _let_346 _let_345 _let_343 _let_792 :args (_let_644 false _let_249 false tptp.ndr1_0 true _let_146 true tptp.hskp2 true _let_251 true _let_114 true _let_159 false _let_166 false _let_161 false _let_158 true _let_247 true _let_172 true _let_115 true _let_117 false _let_119 false _let_120 false tptp.hskp1)) :args (_let_643 false _let_644)))) (let ((_let_815 (_let_643))) (let ((_let_816 ((not (= (tptp.c2_1 Z) true))))) (let ((_let_817 (ASSUME :args _let_815))) (let ((_let_818 (MACRO_RESOLUTION_TRUST _let_806 _let_630 :args (_let_804 true _let_158)))) (let ((_let_819 (MACRO_RESOLUTION_TRUST _let_809 _let_818 :args (_let_640 true _let_798)))) (let ((_let_820 (MACRO_RESOLUTION_TRUST _let_808 _let_818 :args ((not _let_636) true _let_798)))) (let ((_let_821 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_636 _let_641 _let_634 (not _let_642)))) _let_820 _let_819 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_817 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_816)) :args _let_815)) _let_814 :args (_let_642 false _let_643)) :args (_let_634 true _let_636 false _let_640 false _let_642)))) (let ((_let_822 (MACRO_RESOLUTION_TRUST _let_807 _let_818 :args ((not _let_637) true _let_798)))) (let ((_let_823 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_638)) :args ((or _let_637 _let_636 _let_635 _let_639))) _let_822 _let_820 _let_821 :args (_let_639 true _let_637 true _let_636 false _let_634)) :args ((not _let_157) true _let_638)))) (let ((_let_824 (forall ((X67 $$unsorted)) (or (tptp.c0_1 X67) (not (tptp.c1_1 X67)) (not (tptp.c2_1 X67)))))) (let ((_let_825 (MACRO_RESOLUTION_TRUST _let_810 (MACRO_RESOLUTION_TRUST _let_812 _let_822 _let_819 _let_821 :args (_let_811 true _let_637 false _let_640 false _let_634)) :args (_let_471 true _let_800)))) (let ((_let_826 (or _let_180 _let_179 _let_202))) (let ((_let_827 (or _let_56 _let_179 _let_211))) (let ((_let_828 (forall ((X47 $$unsorted)) (or (tptp.c2_1 X47) (not (tptp.c0_1 X47)) (not (tptp.c1_1 X47)))))) (let ((_let_829 (forall ((X110 $$unsorted)) (or (tptp.c2_1 X110) (not (tptp.c0_1 X110)) (not (tptp.c1_1 X110)))))) (let ((_let_830 (or _let_190 _let_188 _let_214))) (let ((_let_831 (forall ((X65 $$unsorted)) (or (tptp.c0_1 X65) (not (tptp.c1_1 X65)) (not (tptp.c2_1 X65)))))) (let ((_let_832 (tptp.c1_1 tptp.a2178))) (let ((_let_833 (or _let_832 _let_298 _let_296))) (let ((_let_834 (not _let_832))) (let ((_let_835 (or _let_834 _let_297 _let_296))) (let ((_let_836 (MACRO_RESOLUTION_TRUST _let_751 (MACRO_RESOLUTION_TRUST _let_752 _let_261 (MACRO_RESOLUTION_TRUST _let_730 _let_630 :args ((not _let_681) true _let_158)) (MACRO_RESOLUTION_TRUST _let_753 _let_825 :args ((not _let_685) true _let_220)) :args (_let_684 false tptp.ndr1_0 true _let_681 true _let_685)) :args (_let_303 false _let_684)))) (let ((_let_837 (_let_828))) (let ((_let_838 ((not (= (tptp.c0_1 Y) false))))) (let ((_let_839 (MACRO_RESOLUTION_TRUST _let_574 (MACRO_RESOLUTION_TRUST _let_579 _let_584 _let_573 _let_627 (REORDERING (AND_ELIM _let_245 :args (88)) :args ((or tptp.hskp10 tptp.hskp17 _let_288 _let_829))) _let_261 _let_457 _let_456 _let_450 _let_702 _let_721 _let_718 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_145 (= X42 X48)))) (AND_ELIM _let_245 :args (55)) _let_261 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_443 (= X21 X50)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_496 :args (tptp.a2178 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_495)) :args _let_494)) (REORDERING (CNF_OR_POS :args (_let_835)) :args ((or _let_297 _let_296 _let_834 (not _let_835)))) (REORDERING (CNF_OR_POS :args (_let_833)) :args ((or _let_298 _let_296 _let_832 (not _let_833)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a2178 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_838)) :args _let_322)) _let_836 :args (_let_833 false _let_303)) _let_314 _let_313 _let_312 _let_310 (AND_ELIM _let_245 :args (63)) _let_261 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_220 (= X16 X65)))) _let_825 :args ((not _let_831) true _let_220)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X32 X66)))) _let_605 _let_604 _let_722 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_613 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_612)) :args _let_611)) (REORDERING (CNF_OR_POS :args (_let_830)) :args ((or _let_188 _let_214 _let_190 (not _let_830)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_838)) :args _let_322)) _let_836 :args (_let_830 false _let_303)) _let_610 _let_602 _let_601 _let_599 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_828 (= X47 X110)))) _let_609 _let_261 _let_825 _let_597 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_837) :args (tptp.a2194 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X47) true))))) :args _let_837)) _let_598 _let_590 (REORDERING (CNF_OR_POS :args (_let_827)) :args ((or _let_56 _let_179 _let_211 (not _let_827)))) _let_591 _let_585 (REORDERING (CNF_OR_POS :args (_let_826)) :args ((or _let_179 _let_202 _let_180 (not _let_826)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a2194 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)) _let_836 :args (_let_826 false _let_303)) _let_583 _let_582 _let_581 :args (_let_580 false _let_200 false _let_48 false _let_201 false tptp.hskp17 false tptp.ndr1_0 true tptp.hskp10 true _let_84 false _let_227 false _let_225 false _let_694 false _let_710 false _let_145 false (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48)))) false tptp.ndr1_0 true (forall ((X50 $$unsorted)) (or (not (tptp.c1_1 X50)) (not (tptp.c2_1 X50)) (not (tptp.c3_1 X50)))) true _let_443 true _let_835 false _let_832 false _let_833 false _let_9 false _let_10 false _let_11 false _let_12 false tptp.hskp27 false tptp.ndr1_0 true _let_831 true (forall ((X66 $$unsorted)) (or (tptp.c2_1 X66) (not (tptp.c1_1 X66)) (not (tptp.c3_1 X66)))) true _let_219 true _let_218 false _let_712 false _let_615 false _let_190 false _let_830 false _let_607 false _let_213 false _let_187 true _let_189 true _let_829 false _let_606 false tptp.ndr1_0 true _let_220 true _let_215 true _let_828 true _let_216 true _let_210 true _let_827 true _let_212 true _let_203 false _let_180 false _let_826 true _let_56 false _let_58 false _let_59)) :args (_let_61 true _let_60)))) (let ((_let_840 (MACRO_RESOLUTION_TRUST _let_560 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_245 :args (64)) :args ((or tptp.hskp3 tptp.hskp15 _let_288 _let_824))) _let_839 _let_261 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_220 (= X16 X67)))) _let_825 :args ((not _let_824) true _let_220)) :args (tptp.hskp3 true tptp.hskp15 false tptp.ndr1_0 true _let_824)) :args (_let_108 false tptp.hskp3)))) (let ((_let_841 (MACRO_RESOLUTION_TRUST _let_762 _let_261 (MACRO_RESOLUTION_TRUST _let_551 (MACRO_RESOLUTION_TRUST _let_559 _let_840 :args (_let_554 false _let_108)) :args ((not _let_192) true _let_193)) (MACRO_RESOLUTION_TRUST _let_761 _let_823 :args ((not _let_633) true _let_157)) :args (_let_389 false tptp.ndr1_0 true _let_192 true _let_633)))) (let ((_let_842 (forall ((X56 $$unsorted)) (or (tptp.c0_1 X56) (tptp.c3_1 X56) (not (tptp.c1_1 X56)))))) (let ((_let_843 (MACRO_RESOLUTION_TRUST _let_500 (MACRO_RESOLUTION_TRUST _let_511 _let_261 (MACRO_RESOLUTION_TRUST _let_516 _let_825 :args ((not _let_371) true _let_220)) (MACRO_RESOLUTION_TRUST _let_415 (MACRO_RESOLUTION_TRUST _let_278 (MACRO_RESOLUTION_TRUST _let_274 (MACRO_RESOLUTION_TRUST _let_265 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_245 :args (58)) _let_839 _let_261 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_158 (= X24 X56)))) _let_630 :args ((not _let_842) true _let_158)) :args (tptp.hskp16 true tptp.hskp15 false tptp.ndr1_0 true _let_842)) :args (_let_55 false tptp.hskp16)) :args (_let_269 false _let_55)) :args (_let_568 true _let_198)) :args ((not _let_365) true _let_197)) :args (_let_370 false tptp.ndr1_0 true _let_371 true _let_365)) :args (_let_225 false _let_370)))) (let ((_let_844 (or _let_169 _let_168 _let_434))) (let ((_let_845 (or _let_170 _let_168 _let_436))) (let ((_let_846 (not _let_844))) (let ((_let_847 (not _let_845))) (let ((_let_848 (_let_147))) (let ((_let_849 (MACRO_RESOLUTION_TRUST _let_557 _let_840 :args (_let_105 false _let_108)))) (let ((_let_850 (MACRO_RESOLUTION_TRUST _let_573 (MACRO_RESOLUTION_TRUST _let_502 _let_261 _let_823 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_412 :args (tptp.a2177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_411)) :args _let_410)) _let_509 (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_106 _let_104 _let_148 (not _let_151)))) _let_849 (MACRO_RESOLUTION_TRUST _let_556 _let_840 :args (_let_107 false _let_108)) _let_508 _let_507 _let_506 (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_104 _let_102 _let_149 (not _let_150)))) _let_849 (MACRO_RESOLUTION_TRUST _let_558 _let_840 :args (_let_103 false _let_108)) _let_504 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_267 :args (tptp.a2177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_307)) :args _let_266)) (AND_ELIM _let_245 :args (91)) _let_261 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_848) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X113) false))))) :args _let_848)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_844)) :args ((or _let_168 _let_434 _let_169 _let_846))) (REORDERING (CNF_OR_POS :args (_let_845)) :args ((or _let_170 _let_168 _let_436 _let_847))) _let_477 _let_476 _let_474 :args ((or _let_435 _let_846 _let_847) true _let_169 false _let_433 false _let_167 true _let_170)) (MACRO_RESOLUTION_TRUST _let_473 _let_825 :args (_let_470 true _let_220)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_541 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_540)) :args _let_539)) _let_841 :args (_let_845 false _let_389)) :args (_let_846 true _let_435 false _let_845)) :args ((not _let_147) true _let_844)) _let_759 _let_261 (MACRO_RESOLUTION_TRUST _let_457 (MACRO_RESOLUTION_TRUST _let_456 (MACRO_RESOLUTION_TRUST _let_450 _let_843 :args (_let_227 false _let_225)) :args (_let_452 false _let_227)) :args (_let_85 true _let_84)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_144 (= X12 X114)))) _let_770 _let_754 _let_771 _let_755 (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_13 _let_136 _let_137 (not _let_138)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_817 :args (tptp.a2268 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_816)) :args _let_815)) _let_814 :args (_let_138 false _let_643)) _let_756 (MACRO_RESOLUTION_TRUST _let_757 _let_841 :args (_let_135 false _let_389)) _let_768 _let_767 _let_766 _let_742 _let_741 _let_740 _let_764 _let_734 _let_763 (MACRO_RESOLUTION_TRUST _let_546 (MACRO_RESOLUTION_TRUST _let_545 (MACRO_RESOLUTION_TRUST _let_542 _let_841 :args (_let_392 false _let_389)) :args (_let_544 false _let_392)) :args (_let_24 true _let_23)) _let_632 _let_261 (MACRO_RESOLUTION_TRUST _let_631 _let_630 :args ((not _let_131) true _let_158)) :args (tptp.hskp17 false tptp.ndr1_0 true _let_157 true _let_156 true _let_155 true _let_154 true _let_151 true _let_104 true _let_106 true _let_92 false _let_94 false _let_95 true _let_148 true _let_104 true _let_102 false _let_96 false _let_150 false tptp.hskp7 false tptp.ndr1_0 true _let_147 false _let_146 false tptp.ndr1_0 true tptp.hskp10 true (forall ((X114 $$unsorted)) (or (not (tptp.c0_1 X114)) (not (tptp.c2_1 X114)) (not (tptp.c3_1 X114)))) true _let_145 true _let_144 true _let_143 true _let_141 false _let_137 false _let_138 false _let_134 false _let_135 true _let_13 true _let_15 false _let_17 false _let_5 false _let_6 false _let_7 false _let_18 false _let_8 false tptp.hskp26 true tptp.hskp24 false tptp.hskp29 false tptp.ndr1_0 true _let_131)) :args (_let_48 false tptp.hskp17)))) (let ((_let_851 (MACRO_RESOLUTION_TRUST _let_577 _let_850 :args (_let_46 false _let_48)))) (let ((_let_852 (MACRO_RESOLUTION_TRUST _let_578 _let_850 :args (_let_45 false _let_48)))) (let ((_let_853 (or _let_128 _let_44 _let_127))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_44 _let_127 _let_129 (not _let_130)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_853)) :args ((or _let_44 _let_127 _let_128 (not _let_853)))) _let_852 _let_851 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (tptp.a2197 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_614)) :args _let_447)) _let_843 :args (_let_853 false _let_225)) :args (_let_128 true _let_44 false _let_46 false _let_853)) _let_852 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_324 :args (tptp.a2197 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)) _let_836 :args (_let_130 false _let_303)) _let_851 :args (false false _let_128 true _let_44 false _let_130 false _let_46)) :args (_let_126 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.71  )
% 0.55/0.71  % SZS output end Proof for SYN486+1
% 0.55/0.71  % cvc5---1.0.5 exiting
% 0.55/0.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------