TSTP Solution File: SYN452+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 02:03:19 EDT 2023
% Result : Theorem 0.21s 0.74s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN452+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:09:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.74 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.of0SphwJ1d/cvc5---1.0.5_15646.p...
% 0.21/0.74 ------- get file name : TPTP file name is SYN452+1
% 0.21/0.74 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15646.smt2...
% 0.21/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.74 % SZS status Theorem for SYN452+1
% 0.21/0.74 % SZS output start Proof for SYN452+1
% 0.21/0.74 (
% 0.21/0.74 (let ((_let_1 (tptp.c3_1 tptp.a865))) (let ((_let_2 (tptp.c2_1 tptp.a865))) (let ((_let_3 (tptp.c1_1 tptp.a865))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a826))) (let ((_let_6 (tptp.c2_1 tptp.a826))) (let ((_let_7 (tptp.c0_1 tptp.a826))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (and tptp.ndr1_0 (tptp.c1_1 tptp.a892) (tptp.c2_1 tptp.a892) (not (tptp.c3_1 tptp.a892))))) (let ((_let_10 (tptp.c3_1 tptp.a878))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c0_1 tptp.a878))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.c1_1 tptp.a878))) (let ((_let_15 (and tptp.ndr1_0 _let_14 _let_13 _let_11))) (let ((_let_16 (tptp.c1_1 tptp.a862))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c3_1 tptp.a862))) (let ((_let_19 (tptp.c0_1 tptp.a862))) (let ((_let_20 (and tptp.ndr1_0 _let_19 _let_18 _let_17))) (let ((_let_21 (tptp.c2_1 tptp.a860))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.c1_1 tptp.a860))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a860)) _let_24 _let_22))) (let ((_let_26 (tptp.c3_1 tptp.a857))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c2_1 tptp.a857))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.c0_1 tptp.a857))) (let ((_let_31 (and tptp.ndr1_0 _let_30 _let_29 _let_27))) (let ((_let_32 (tptp.c2_1 tptp.a856))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c1_1 tptp.a856))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c3_1 tptp.a856))) (let ((_let_37 (and tptp.ndr1_0 _let_36 _let_35 _let_33))) (let ((_let_38 (tptp.c3_1 tptp.a855))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c1_1 tptp.a855))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.c0_1 tptp.a855))) (let ((_let_43 (not _let_42))) (let ((_let_44 (and tptp.ndr1_0 _let_43 _let_41 _let_39))) (let ((_let_45 (tptp.c3_1 tptp.a844))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.c1_1 tptp.a844))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c2_1 tptp.a844))) (let ((_let_50 (and tptp.ndr1_0 _let_49 _let_48 _let_46))) (let ((_let_51 (tptp.c2_1 tptp.a842))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.c1_1 tptp.a842))) (let ((_let_54 (tptp.c0_1 tptp.a842))) (let ((_let_55 (and tptp.ndr1_0 _let_54 _let_53 _let_52))) (let ((_let_56 (tptp.c2_1 tptp.a839))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c3_1 tptp.a839))) (let ((_let_59 (tptp.c1_1 tptp.a839))) (let ((_let_60 (and tptp.ndr1_0 _let_59 _let_58 _let_57))) (let ((_let_61 (tptp.c3_1 tptp.a838))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.c2_1 tptp.a838))) (let ((_let_64 (tptp.c0_1 tptp.a838))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_63 _let_62))) (let ((_let_66 (tptp.c0_1 tptp.a835))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c3_1 tptp.a835))) (let ((_let_69 (tptp.c2_1 tptp.a835))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_67))) (let ((_let_71 (tptp.c1_1 tptp.a831))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c0_1 tptp.a831))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c3_1 tptp.a831))) (let ((_let_76 (and tptp.ndr1_0 _let_75 _let_74 _let_72))) (let ((_let_77 (not tptp.hskp9))) (let ((_let_78 (tptp.c3_1 tptp.a830))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c2_1 tptp.a830))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c0_1 tptp.a830))) (let ((_let_83 (not _let_82))) (let ((_let_84 (and tptp.ndr1_0 _let_83 _let_81 _let_79))) (let ((_let_85 (tptp.c2_1 tptp.a828))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c1_1 tptp.a828))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.c0_1 tptp.a828))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_86))) (let ((_let_91 (tptp.c0_1 tptp.a827))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c2_1 tptp.a827))) (let ((_let_94 (tptp.c1_1 tptp.a827))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_93 _let_92))) (let ((_let_96 (tptp.c0_1 tptp.a825))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c3_1 tptp.a825))) (let ((_let_99 (tptp.c1_1 tptp.a825))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_98 _let_97))) (let ((_let_101 (tptp.c1_1 tptp.a821))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c0_1 tptp.a821))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c2_1 tptp.a821))) (let ((_let_106 (and tptp.ndr1_0 _let_105 _let_104 _let_102))) (let ((_let_107 (tptp.c3_1 tptp.a820))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.c1_1 tptp.a820))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.c0_1 tptp.a820))) (let ((_let_112 (and tptp.ndr1_0 _let_111 _let_110 _let_108))) (let ((_let_113 (tptp.c3_1 tptp.a817))) (let ((_let_114 (not _let_113))) (let ((_let_115 (tptp.c0_1 tptp.a817))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c2_1 tptp.a817))) (let ((_let_118 (and tptp.ndr1_0 _let_117 _let_116 _let_114))) (let ((_let_119 (not tptp.hskp2))) (let ((_let_120 (tptp.c2_1 tptp.a816))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c3_1 tptp.a816))) (let ((_let_123 (tptp.c0_1 tptp.a816))) (let ((_let_124 (and tptp.ndr1_0 _let_123 _let_122 _let_121))) (let ((_let_125 (tptp.c3_1 tptp.a815))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.c1_1 tptp.a815))) (let ((_let_128 (tptp.c0_1 tptp.a815))) (let ((_let_129 (and tptp.ndr1_0 _let_128 _let_127 _let_126))) (let ((_let_130 (not (not (and (or (not tptp.hskp0) _let_129) (or (not tptp.hskp1) _let_124) (or _let_119 _let_118) (or (not tptp.hskp3) _let_112) (or (not tptp.hskp4) _let_106) (or (not tptp.hskp5) _let_100) (or (not tptp.hskp6) _let_95) (or (not tptp.hskp7) _let_90) (or (not tptp.hskp8) _let_84) (or _let_77 _let_76) (or (not tptp.hskp10) (and tptp.ndr1_0 (tptp.c0_1 tptp.a834) (tptp.c2_1 tptp.a834) (not (tptp.c1_1 tptp.a834)))) (or (not tptp.hskp11) _let_70) (or (not tptp.hskp12) _let_65) (or (not tptp.hskp13) _let_60) (or (not tptp.hskp14) _let_55) (or (not tptp.hskp15) _let_50) (or (not tptp.hskp16) (and tptp.ndr1_0 (tptp.c2_1 tptp.a848) (tptp.c3_1 tptp.a848) (not (tptp.c1_1 tptp.a848)))) (or (not tptp.hskp17) (and tptp.ndr1_0 (tptp.c1_1 tptp.a852) (not (tptp.c2_1 tptp.a852)) (not (tptp.c3_1 tptp.a852)))) (or (not tptp.hskp18) (and tptp.ndr1_0 (tptp.c1_1 tptp.a854) (not (tptp.c0_1 tptp.a854)) (not (tptp.c2_1 tptp.a854)))) (or (not tptp.hskp19) _let_44) (or (not tptp.hskp20) _let_37) (or (not tptp.hskp21) _let_31) (or (not tptp.hskp22) _let_25) (or (not tptp.hskp23) _let_20) (or (not tptp.hskp24) _let_15) (or (not tptp.hskp25) _let_9) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a818) (tptp.c1_1 tptp.a818) (tptp.c2_1 tptp.a818))) (or (not tptp.hskp27) _let_8) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c0_1 tptp.a833) (tptp.c1_1 tptp.a833) (tptp.c3_1 tptp.a833))) (or (not tptp.hskp29) _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.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V)))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X) (tptp.c2_1 X) (not (tptp.c0_1 X))))) tptp.hskp1) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 Z) (not (tptp.c0_1 Z)) (not (tptp.c2_1 Z))))) tptp.hskp2) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (not (tptp.c3_1 X2)))))) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c3_1 X3)))) tptp.hskp26 tptp.hskp0) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (not (tptp.c2_1 X4))))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (not (tptp.c1_1 X5)) (not (tptp.c3_1 X5))))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c1_1 X6)))))) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c2_1 X7))))) tptp.hskp3 tptp.hskp4) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c3_1 X8))))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X9) (not (tptp.c1_1 X9)) (not (tptp.c2_1 X9))))) tptp.hskp3) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c3_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X11) (tptp.c2_1 X11) (not (tptp.c3_1 X11))))) tptp.hskp2) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c2_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X13) (tptp.c2_1 X13) (not (tptp.c3_1 X13))))) tptp.hskp4) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c2_1 X14) (tptp.c3_1 X14)))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X15) (tptp.c3_1 X15) (not (tptp.c0_1 X15))))) tptp.hskp5) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c2_1 X16) (tptp.c3_1 X16)))) tptp.hskp27 tptp.hskp6) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17)))) tptp.hskp7 tptp.hskp4) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c2_1 X18) (not (tptp.c1_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X19) (tptp.c3_1 X19) (not (tptp.c0_1 X19))))) tptp.hskp8) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c2_1 X20) (not (tptp.c1_1 X20))))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X21) (not (tptp.c0_1 X21)) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c3_1 X22)))))) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (not (tptp.c1_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X24) (not (tptp.c0_1 X24)) (not (tptp.c3_1 X24))))) tptp.hskp9) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c3_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c3_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c3_1 X27)))))) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c2_1 X28) (not (tptp.c3_1 X28))))) tptp.hskp26 tptp.hskp28) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29))))) tptp.hskp10 tptp.hskp11) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31))))) tptp.hskp26) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c3_1 X32) (not (tptp.c1_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X33) (not (tptp.c0_1 X33)) (not (tptp.c2_1 X33))))) tptp.hskp6) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34))))) tptp.hskp12 tptp.hskp13) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c3_1 X35) (not (tptp.c2_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X36) (tptp.c2_1 X36) (tptp.c3_1 X36)))) (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c2_1 X37)))))) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c3_1 X38) (not (tptp.c2_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X39) (tptp.c3_1 X39) (not (tptp.c2_1 X39))))) tptp.hskp2) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c2_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X42) (not (tptp.c0_1 X42)) (not (tptp.c1_1 X42)))))) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (not (tptp.c1_1 X43)) (not (tptp.c3_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44))))) tptp.hskp9) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c1_1 X45)) (not (tptp.c3_1 X45))))) tptp.hskp14 tptp.hskp13) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c1_1 X46)) (not (tptp.c3_1 X46))))) tptp.hskp15 tptp.hskp8) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (not (tptp.c0_1 X48)) (not (tptp.c2_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (tptp.c3_1 X49) (not (tptp.c1_1 X49)))))) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (tptp.c2_1 X50) (tptp.c3_1 X50)))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X51) (tptp.c2_1 X51) (not (tptp.c0_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X52)) (not (tptp.c2_1 X52)) (not (tptp.c3_1 X52)))))) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (tptp.c2_1 X53) (tptp.c3_1 X53)))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (not (tptp.c2_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp6) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (tptp.c2_1 X55) (tptp.c3_1 X55)))) tptp.hskp27) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c2_1 X56) (not (tptp.c0_1 X56))))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (tptp.c2_1 X57) (not (tptp.c3_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X58)) (not (tptp.c1_1 X58)) (not (tptp.c3_1 X58)))))) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (not (tptp.c0_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (not (tptp.c2_1 X60)) (not (tptp.c3_1 X60))))) tptp.hskp16) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c2_1 X61) (not (tptp.c0_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X62) (not (tptp.c0_1 X62)) (not (tptp.c3_1 X62))))) tptp.hskp9) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c3_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X64)) (not (tptp.c1_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp3) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c3_1 X65) (not (tptp.c0_1 X65))))) tptp.hskp12 tptp.hskp17) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c3_1 X66) (not (tptp.c0_1 X66))))) tptp.hskp3 tptp.hskp18) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c2_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c1_1 X68))))) tptp.hskp19) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (not (tptp.c0_1 X69)) (not (tptp.c3_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (not (tptp.c2_1 X70)) (not (tptp.c3_1 X70))))) tptp.hskp20) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (not (tptp.c0_1 X71)) (not (tptp.c3_1 X71))))) tptp.hskp21 tptp.hskp13) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (not (tptp.c2_1 X72)) (not (tptp.c3_1 X72))))) tptp.hskp14 tptp.hskp22) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (tptp.c3_1 X73) (not (tptp.c0_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X74)) (not (tptp.c1_1 X74)) (not (tptp.c3_1 X74))))) tptp.hskp15) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (tptp.c3_1 X75) (not (tptp.c1_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp23) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X77) (tptp.c3_1 X77) (not (tptp.c1_1 X77))))) tptp.hskp1 tptp.hskp22) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (not (tptp.c0_1 X78)) (not (tptp.c1_1 X78))))) tptp.hskp29 tptp.hskp19) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c3_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X80)) (not (tptp.c1_1 X80)) (not (tptp.c3_1 X80))))) tptp.hskp29) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c1_1 X81)) (not (tptp.c2_1 X81))))) tptp.hskp14 tptp.hskp7) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X82) (not (tptp.c1_1 X82)) (not (tptp.c2_1 X82))))) tptp.hskp14 tptp.hskp15) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X83) (not (tptp.c1_1 X83)) (not (tptp.c2_1 X83))))) tptp.hskp1 tptp.hskp2) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X84)) (not (tptp.c1_1 X84)) (not (tptp.c3_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X85)) (not (tptp.c2_1 X85)) (not (tptp.c3_1 X85))))) tptp.hskp8) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c2_1 X86)) (not (tptp.c3_1 X86))))) tptp.hskp23 tptp.hskp3) (or tptp.hskp28 tptp.hskp24 tptp.hskp20) (or tptp.hskp14 tptp.hskp12 tptp.hskp11) (or tptp.hskp14 tptp.hskp24) (or tptp.hskp27 tptp.hskp18 tptp.hskp9) (or tptp.hskp27 tptp.hskp17 tptp.hskp15) (or tptp.hskp23 tptp.hskp25 tptp.hskp5) (or tptp.hskp7 tptp.hskp5 tptp.hskp13) (or tptp.hskp13 tptp.hskp16 tptp.hskp19)))))) (let ((_let_131 (not _let_98))) (let ((_let_132 (not _let_99))) (let ((_let_133 (or _let_96 _let_132 _let_131))) (let ((_let_134 (not _let_100))) (let ((_let_135 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (not (tptp.c1_1 X5)) (not (tptp.c3_1 X5)))))) (let ((_let_136 (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (not (tptp.c1_1 X43)) (not (tptp.c3_1 X43)))))) (let ((_let_137 (forall ((X44 $$unsorted)) (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44)))))) (let ((_let_138 (forall ((X6 $$unsorted)) (or (tptp.c3_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c1_1 X6)))))) (let ((_let_139 (not _let_127))) (let ((_let_140 (not _let_128))) (let ((_let_141 (or _let_125 _let_140 _let_139))) (let ((_let_142 (not _let_138))) (let ((_let_143 (not _let_141))) (let ((_let_144 (forall ((V $$unsorted)) (or (tptp.c1_1 V) (tptp.c2_1 V) (tptp.c3_1 V))))) (let ((_let_145 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_146 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_147 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_148 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_149 (or _let_148 _let_147 _let_146))) (let ((_let_150 (not _let_144))) (let ((_let_151 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_152 (or _let_151 _let_148 _let_147))) (let ((_let_153 (not _let_149))) (let ((_let_154 (not _let_152))) (let ((_let_155 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_156 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_157 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_158 (or _let_157 _let_156 _let_155))) (let ((_let_159 (not _let_145))) (let ((_let_160 (forall ((X21 $$unsorted)) (or (tptp.c2_1 X21) (not (tptp.c0_1 X21)) (not (tptp.c3_1 X21)))))) (let ((_let_161 (forall ((X62 $$unsorted)) (or (tptp.c2_1 X62) (not (tptp.c0_1 X62)) (not (tptp.c3_1 X62)))))) (let ((_let_162 (not _let_146))) (let ((_let_163 (or _let_151 _let_148 _let_162))) (let ((_let_164 (forall ((X2 $$unsorted)) (or (tptp.c0_1 X2) (tptp.c1_1 X2) (not (tptp.c3_1 X2)))))) (let ((_let_165 (or _let_151 _let_147 _let_162))) (let ((_let_166 (or _let_148 _let_147 _let_162))) (let ((_let_167 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1))))) (let ((_let_168 (forall ((X13 $$unsorted)) (or (tptp.c0_1 X13) (tptp.c2_1 X13) (not (tptp.c3_1 X13)))))) (let ((_let_169 (forall ((X11 $$unsorted)) (or (tptp.c1_1 X11) (tptp.c2_1 X11) (not (tptp.c3_1 X11)))))) (let ((_let_170 (not _let_117))) (let ((_let_171 (or _let_115 _let_113 _let_170))) (let ((_let_172 (tptp.c1_1 tptp.a817))) (let ((_let_173 (or _let_115 _let_172 _let_113))) (let ((_let_174 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_175 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_176 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_177 (or _let_176 _let_175 _let_174))) (let ((_let_178 (forall ((X25 $$unsorted)) (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c3_1 X25)))))) (let ((_let_179 (forall ((X41 $$unsorted)) (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41)))))) (let ((_let_180 (forall ((X35 $$unsorted)) (or (tptp.c0_1 X35) (tptp.c3_1 X35) (not (tptp.c2_1 X35)))))) (let ((_let_181 (not _let_172))) (let ((_let_182 (or _let_115 _let_181 _let_170))) (let ((_let_183 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_184 (not _let_183))) (let ((_let_185 (or _let_176 _let_174 _let_184))) (let ((_let_186 (forall ((X9 $$unsorted)) (or (tptp.c0_1 X9) (not (tptp.c1_1 X9)) (not (tptp.c2_1 X9)))))) (let ((_let_187 (tptp.c3_1 tptp.a828))) (let ((_let_188 (or _let_87 _let_85 _let_187))) (let ((_let_189 (tptp.c1_1 tptp.a857))) (let ((_let_190 (or _let_189 _let_28 _let_26))) (let ((_let_191 (forall ((X40 $$unsorted)) (or (tptp.c0_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c2_1 X40)))))) (let ((_let_192 (forall ((X42 $$unsorted)) (or (tptp.c2_1 X42) (not (tptp.c0_1 X42)) (not (tptp.c1_1 X42)))))) (let ((_let_193 (not _let_175))) (let ((_let_194 (or _let_174 _let_193 _let_184))) (let ((_let_195 (forall ((X31 $$unsorted)) (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31)))))) (let ((_let_196 (forall ((X37 $$unsorted)) (or (tptp.c3_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c2_1 X37)))))) (let ((_let_197 (not _let_53))) (let ((_let_198 (not _let_54))) (let ((_let_199 (or _let_51 _let_198 _let_197))) (let ((_let_200 (not _let_189))) (let ((_let_201 (not _let_30))) (let ((_let_202 (or _let_28 _let_201 _let_200))) (let ((_let_203 (forall ((X81 $$unsorted)) (or (tptp.c3_1 X81) (not (tptp.c1_1 X81)) (not (tptp.c2_1 X81)))))) (let ((_let_204 (not _let_187))) (let ((_let_205 (not _let_89))) (let ((_let_206 (or _let_87 _let_205 _let_204))) (let ((_let_207 (forall ((X26 $$unsorted)) (or (tptp.c1_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c3_1 X26)))))) (let ((_let_208 (forall ((X71 $$unsorted)) (or (tptp.c1_1 X71) (not (tptp.c0_1 X71)) (not (tptp.c3_1 X71)))))) (let ((_let_209 (forall ((X27 $$unsorted)) (or (tptp.c2_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c3_1 X27)))))) (let ((_let_210 (forall ((X22 $$unsorted)) (or (tptp.c2_1 X22) (not (tptp.c1_1 X22)) (not (tptp.c3_1 X22)))))) (let ((_let_211 (not _let_58))) (let ((_let_212 (not _let_59))) (let ((_let_213 (or _let_56 _let_212 _let_211))) (let ((_let_214 (not _let_158))) (let ((_let_215 (tptp.c1_1 tptp.a830))) (let ((_let_216 (or _let_82 _let_215 _let_80))) (let ((_let_217 (tptp.c2_1 tptp.a855))) (let ((_let_218 (or _let_42 _let_40 _let_217))) (let ((_let_219 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_220 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_221 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_222 (or _let_221 _let_220 _let_219))) (let ((_let_223 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_224 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_225 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_226 (or _let_225 _let_224 _let_223))) (let ((_let_227 (tptp.c3_1 tptp.a842))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_51 _let_198 _let_228))) (let ((_let_230 (tptp.c3_1 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_let_811 _let_366 _let_717 _let_810 _let_369 _let_808 _let_368 _let_362 :args ((or _let_144 _let_180 _let_161 _let_214) false _let_76 false _let_582 false tptp.hskp9 false tptp.ndr1_0 false _let_164 false tptp.ndr1_0 true _let_661 true _let_167 true _let_262 true _let_177 true _let_714 true _let_175 false _let_157 false _let_194 true _let_155 true _let_156 false _let_196 false tptp.ndr1_0 true _let_712 true _let_809 false _let_183 true _let_176 true _let_174 true _let_185)))) (let ((_let_819 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_318 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)))) (let ((_let_820 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_318 :args (tptp.a857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)))) (let ((_let_821 (or _let_82 _let_80 _let_312))) (let ((_let_822 (not _let_799))) (let ((_let_823 (not _let_168))) (let ((_let_824 (_let_823))) (let ((_let_825 ((not (= (tptp.c0_1 X13) true))))) (let ((_let_826 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_815 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_814)) :args _let_813)))) (let ((_let_827 (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_115 _let_113 _let_172 (not _let_173)))))) (let ((_let_828 (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_115 _let_170 _let_181 (not _let_182)))))) (let ((_let_829 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (tptp.a817 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)))) (let ((_let_830 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_196 (= X37 X81)))))) (let ((_let_831 (MACRO_RESOLUTION_TRUST _let_447 _let_443 _let_442 _let_441 :args ((or _let_440 _let_446) true _let_56 false _let_58 false _let_59)))) (let ((_let_832 (REORDERING (AND_ELIM _let_337 :args (77)) :args ((or tptp.hskp7 tptp.hskp14 _let_521 _let_203))))) (let ((_let_833 (AND_ELIM _let_337 :args (7)))) (let ((_let_834 (not _let_90))) (let ((_let_835 (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_89 _let_834))))) (let ((_let_836 (REORDERING (CNF_AND_POS :args (_let_90 2)) :args ((or _let_88 _let_834))))) (let ((_let_837 (REORDERING (CNF_AND_POS :args (_let_90 3)) :args ((or _let_86 _let_834))))) (let ((_let_838 (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_87 _let_85 _let_187 (not _let_188)))))) (let ((_let_839 (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_87 _let_205 _let_204 (not _let_206)))))) (let ((_let_840 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_730 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X26) true))))) :args _let_729)))) (let ((_let_841 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_207 (= X26 X71)))))) (let ((_let_842 (REORDERING (AND_ELIM _let_337 :args (70)) :args ((or tptp.hskp13 tptp.hskp21 _let_521 _let_208))))) (let ((_let_843 (AND_ELIM _let_337 :args (21)))) (let ((_let_844 (not _let_31))) (let ((_let_845 (REORDERING (CNF_AND_POS :args (_let_31 2)) :args ((or _let_29 _let_844))))) (let ((_let_846 (REORDERING (CNF_AND_POS :args (_let_31 3)) :args ((or _let_27 _let_844))))) (let ((_let_847 (REORDERING (CNF_OR_POS :args (_let_190)) :args ((or _let_28 _let_26 _let_189 (not _let_190)))))) (let ((_let_848 (MACRO_RESOLUTION_TRUST _let_787 _let_786 _let_785 _let_784 _let_782 _let_781 _let_778 _let_777 _let_775 _let_774 _let_773 _let_771 _let_770 _let_513 _let_519 _let_520 _let_760 _let_366 _let_758 _let_756 _let_755 _let_738 _let_737 _let_735 _let_734 _let_776 _let_731 _let_817 _let_366 _let_728 _let_816 _let_727 _let_812 _let_526 _let_525 _let_524 _let_376 _let_522 _let_761 _let_381 _let_726 _let_725 _let_724 _let_366 _let_811 _let_366 _let_723 _let_710 _let_709 _let_810 _let_369 _let_808 _let_368 _let_362 :args ((or _let_144 _let_180 _let_214 _let_754) false _let_279 false _let_275 false _let_277 true _let_747 true _let_751 true _let_405 true _let_750 false _let_743 false _let_739 false _let_741 true _let_745 true _let_746 true _let_186 true _let_401 false _let_95 false tptp.hskp6 false tptp.ndr1_0 true _let_293 true _let_291 false _let_234 false _let_230 false _let_232 true _let_285 true _let_286 false _let_748 true _let_207 false _let_164 false tptp.ndr1_0 true _let_283 true _let_167 true _let_272 true _let_177 false _let_5 false _let_6 false _let_7 true _let_175 false _let_8 false _let_744 false _let_194 false _let_281 false _let_274 false tptp.hskp27 false tptp.ndr1_0 false _let_196 false tptp.ndr1_0 false _let_269 true _let_268 true _let_267 true _let_809 false _let_183 true _let_176 true _let_174 true _let_185)))) (let ((_let_849 (not _let_261))) (let ((_let_850 (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_87 _let_85 _let_205 _let_849))))) (let ((_let_851 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_501 :args (tptp.a828 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_500)) :args _let_499)))) (let ((_let_852 (MACRO_RESOLUTION_TRUST _let_494 _let_625 _let_624 _let_493 _let_492 _let_498 _let_851 _let_850 _let_837 _let_836 _let_835 _let_833 _let_832 _let_366 _let_830 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_379)) :args _let_378)) (REORDERING (CNF_OR_POS :args (_let_260)) :args ((or _let_251 _let_250 _let_259 (not _let_260)))) _let_550 _let_549 _let_548 _let_353 _let_349 _let_345 _let_339 _let_338 _let_555 _let_564 _let_554 _let_570 _let_571 _let_659 _let_321 _let_320 _let_848 _let_603 _let_753 _let_565 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_805)) :args ((or _let_28 _let_26 _let_200 (not _let_805)))) _let_847 _let_846 _let_845 _let_843 _let_842 _let_366 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_833 _let_832 _let_366 _let_555 (MACRO_RESOLUTION_TRUST _let_563 _let_567 _let_560 _let_559 :args ((or _let_558 _let_557 _let_566) true _let_227 true _let_51 false _let_53)) _let_439 _let_831 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_551)) _let_570 _let_455 _let_366 _let_460 (MACRO_RESOLUTION_TRUST _let_545 _let_507 _let_544 _let_506 _let_505 :args ((or _let_504 _let_334 _let_502) true _let_296 true _let_107 true _let_109 false _let_111)) _let_508 _let_830 _let_509 _let_366 _let_381 _let_829 _let_376 _let_828 _let_812 _let_827 _let_816 _let_826 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_450 :args (tptp.a831 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_449)) :args _let_448)) _let_817 _let_366 _let_484 (REORDERING (CNF_OR_POS :args (_let_804)) :args ((or _let_73 _let_581 _let_803 (not _let_804)))) _let_600 (REORDERING (CNF_OR_POS :args (_let_802)) :args ((or _let_73 _let_581 _let_801 (not _let_802)))) _let_598 _let_596 _let_597 _let_592 _let_663 _let_366 _let_662 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_470 :args (tptp.a831 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_469)) _let_601 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_824)) :args _let_824)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_823) _let_168))) (REFL :args ((not _let_800))) :args _let_350)) _let_599 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_799)) :args ((or _let_223 _let_797 _let_798 _let_822))) (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_223 _let_224 _let_806))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_800 2)) (CONG (REFL :args (_let_800)) (MACRO_SR_PRED_INTRO :args ((= (not _let_797) _let_796))) :args _let_350)) :args ((or _let_796 _let_800))) (CNF_OR_NEG :args (_let_800 1)) (CNF_OR_NEG :args (_let_800 0)) :args ((or _let_800 _let_822 _let_806) false _let_224 false _let_796 true _let_223 true _let_225)) _let_593 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_453 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_452)) :args _let_451)) _let_591 _let_568 _let_454 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_821)) :args ((or _let_82 _let_80 _let_312 (not _let_821)))) (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_82 _let_80 _let_215 _let_807))) _let_683 (REORDERING (CNF_AND_POS :args (_let_84 1)) :args ((or _let_83 _let_682))) _let_684 _let_697 _let_366 _let_699 _let_707 _let_708 _let_703 _let_702 _let_701 _let_698 _let_696 _let_366 _let_695 _let_694 _let_675 _let_673 _let_672 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_629)) :args _let_626)) _let_628 _let_335 _let_671 _let_670 _let_668 _let_456 _let_366 _let_667 _let_693 :args ((or _let_160 _let_210 _let_807) false _let_215 true _let_80 true _let_82 false _let_84 false tptp.hskp8 false tptp.ndr1_0 true _let_688 true _let_269 true _let_692 false _let_1 false _let_2 false _let_3 false _let_4 false tptp.hskp29 false tptp.ndr1_0 true _let_687 true _let_686 true _let_643 true _let_641 false _let_303 false _let_821 false _let_304 false _let_299 false _let_637 false _let_300 true _let_302 false _let_322 false tptp.ndr1_0 true _let_639 true _let_685)) _let_820 _let_819 _let_319 _let_590 _let_589 _let_587 _let_818 _let_586 _let_660 _let_808 _let_368 _let_369 _let_362 :args ((or _let_115 _let_113 _let_160 _let_180 _let_170 _let_807 _let_214 _let_806) false _let_189 true _let_26 true _let_28 false _let_31 false tptp.hskp21 false tptp.ndr1_0 true _let_208 true _let_207 true _let_206 false _let_187 true _let_85 true _let_87 false _let_89 false _let_90 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp14 true _let_55 true tptp.hskp13 true _let_60 false _let_805 false _let_248 false _let_247 false tptp.ndr1_0 true _let_406 true _let_410 false _let_112 true _let_203 false tptp.hskp3 false tptp.ndr1_0 true _let_196 true _let_186 true _let_194 true _let_182 false _let_175 false _let_172 false _let_177 false _let_173 true _let_405 false _let_167 false tptp.ndr1_0 true _let_417 true _let_804 true _let_164 false _let_801 true _let_582 true _let_73 false _let_75 false _let_76 false tptp.hskp9 false tptp.ndr1_0 true _let_661 false _let_802 true _let_262 false _let_168 true _let_583 false _let_800 true _let_578 false _let_799 false _let_580 false _let_556 false _let_213 false _let_210 false _let_190 false _let_188 false _let_297 false _let_572 false _let_574 true _let_576 false _let_144 true _let_577 true _let_161 true _let_176 true _let_174 false _let_183 true _let_185)) _let_795 _let_794 _let_792 _let_791 _let_790 _let_788 (MACRO_RESOLUTION_TRUST _let_759 _let_758 _let_762 _let_366 _let_756 _let_763 (REORDERING (CNF_OR_POS :args (_let_289)) :args ((or _let_285 _let_231 _let_234 (not _let_289)))) _let_766 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) _let_767 _let_664 _let_660 (MACRO_RESOLUTION_TRUST _let_787 _let_786 _let_785 _let_784 _let_782 _let_781 _let_778 _let_777 _let_776 _let_775 _let_485 _let_774 _let_773 _let_771 _let_486 _let_366 _let_770 _let_767 _let_513 _let_766 _let_519 _let_763 _let_520 _let_762 _let_366 _let_761 _let_760 _let_366 _let_759 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_196 (= X37 X83)))) _let_758 (AND_ELIM _let_337 :args (79)) _let_366 _let_756 _let_607 _let_755 _let_606 _let_753 _let_602 :args ((or tptp.hskp2 _let_267 _let_284 _let_584 _let_285 _let_233 _let_231 _let_752) false _let_279 false _let_275 false _let_277 true _let_747 true _let_751 true _let_405 true _let_750 false _let_748 false _let_743 false _let_164 false _let_739 false _let_741 true _let_745 false _let_432 false tptp.ndr1_0 true _let_746 true _let_169 true _let_186 true _let_288 true _let_401 false _let_37 false _let_95 false tptp.hskp20 false tptp.ndr1_0 false _let_744 false tptp.hskp6 false tptp.ndr1_0 true _let_292 false _let_196 true _let_293 false (forall ((X83 $$unsorted)) (or (tptp.c3_1 X83) (not (tptp.c1_1 X83)) (not (tptp.c2_1 X83)))) false tptp.ndr1_0 true _let_291 true tptp.hskp1 false _let_234 true _let_124 false _let_235 false _let_326)) _let_738 _let_737 _let_735 _let_734 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_207 (= X26 X69)))) _let_731 _let_728 _let_727 _let_526 _let_525 _let_524 _let_522 _let_726 _let_725 _let_724 _let_366 _let_723 _let_710 _let_709 (MACRO_RESOLUTION_TRUST _let_420 (REORDERING (CNF_OR_POS :args (_let_306)) :args ((or _let_12 _let_254 _let_305 (not _let_306)))) _let_344 _let_343 _let_342 _let_419 _let_339 _let_382 _let_338 _let_555 _let_564 _let_565 (MACRO_RESOLUTION_TRUST _let_708 _let_707 _let_703 _let_702 _let_701 _let_699 _let_698 _let_697 _let_366 _let_696 _let_366 _let_695 _let_694 _let_675 _let_673 _let_672 _let_671 _let_670 _let_668 _let_667 _let_591 _let_593 _let_599 _let_601 _let_498 _let_495 _let_490 _let_590 _let_589 _let_587 _let_664 _let_586 _let_693 _let_660 :args ((or tptp.hskp2 tptp.hskp8 _let_160 _let_332 _let_647 _let_294) false _let_692 false _let_1 false _let_2 false _let_3 false _let_269 false _let_4 false _let_688 false tptp.ndr1_0 false tptp.hskp29 false tptp.ndr1_0 true _let_687 true _let_686 true _let_643 true _let_641 false _let_303 false _let_637 false _let_300 true _let_302 true _let_639 true _let_210 true _let_580 false _let_578 false _let_583 false _let_262 false _let_263 false _let_433 false _let_572 false _let_574 true _let_576 false _let_169 true _let_577 true _let_685 true _let_161)) _let_684 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_313)) :args ((or _let_80 _let_78 _let_312 _let_681))) (REORDERING (CNF_OR_POS :args (_let_298)) :args ((or _let_80 _let_78 _let_215 _let_680))) (REORDERING (CNF_AND_POS :args (_let_84 3)) :args ((or _let_79 _let_682))) _let_683 :args ((or _let_682 _let_681 _let_680) false _let_215 true _let_78 true _let_80)) _let_570 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_569)) :args _let_551)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_385 :args (tptp.a855 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) _let_359 (REORDERING (CNF_OR_POS :args (_let_645)) :args ((or _let_42 _let_38 _let_644 (not _let_645)))) _let_367 _let_366 (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_42 _let_40 _let_217 _let_295))) _let_372 (REORDERING (CNF_AND_POS :args (_let_44 3)) :args ((or _let_39 _let_679))) (REORDERING (CNF_AND_POS :args (_let_44 2)) :args ((or _let_41 _let_679))) (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_43 _let_679))) _let_375 (AND_ELIM _let_337 :args (19)) _let_377 (AND_ELIM _let_337 :args (68)) _let_366 (AND_ELIM _let_337 :args (72)) _let_366 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_195 (= X31 X68)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_643 (= X58 X74)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_678 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_676)) _let_675 (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_302 _let_301 _let_640 (not _let_642)))) _let_673 _let_672 _let_671 _let_670 _let_668 _let_667 _let_591 _let_593 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_406 (= X48 X67)))) _let_599 _let_461 _let_601 _let_530 _let_498 (REORDERING (CNF_OR_POS :args (_let_636)) :args ((or _let_16 _let_635 _let_428 (not _let_636)))) _let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (tptp.a862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)) _let_490 _let_664 _let_529 (REORDERING (CNF_AND_POS :args (_let_20 2)) :args ((or _let_18 _let_363))) _let_528 _let_365 _let_590 _let_589 _let_587 (AND_ELIM _let_337 :args (73)) _let_366 _let_586 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X21 X76)))) _let_660 _let_659 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_634 (= X15 X73)))) _let_658 _let_654 (REORDERING (CNF_OR_POS :args (_let_311)) :args ((or _let_309 _let_308 _let_310 _let_646))) _let_653 _let_652 _let_651 _let_650 _let_571 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_247 (= X49 X75)))) :args ((or tptp.hskp2 _let_247 _let_333 _let_332 _let_647 _let_295 _let_294 _let_646) false _let_180 true _let_645 false _let_354 false tptp.ndr1_0 false _let_217 true _let_355 true _let_38 true _let_40 true _let_42 true _let_357 false _let_44 false _let_50 false tptp.hskp19 false tptp.ndr1_0 false tptp.hskp15 false tptp.ndr1_0 true (forall ((X68 $$unsorted)) (or (tptp.c2_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c1_1 X68)))) true (forall ((X74 $$unsorted)) (or (not (tptp.c0_1 X74)) (not (tptp.c1_1 X74)) (not (tptp.c3_1 X74)))) true _let_195 true _let_643 true _let_642 true _let_641 false _let_303 false _let_637 false _let_300 true _let_302 true _let_639 true _let_210 true _let_580 true (forall ((X67 $$unsorted)) (or (tptp.c1_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c2_1 X67)))) false _let_578 true _let_406 false _let_583 true _let_431 false _let_262 false _let_428 false _let_263 false _let_636 false _let_433 false _let_169 true _let_16 false _let_18 false _let_19 false _let_20 false _let_572 false _let_574 true _let_576 false tptp.hskp23 false tptp.ndr1_0 true _let_577 true (forall ((X76 $$unsorted)) (or (tptp.c2_1 X76) (not (tptp.c0_1 X76)) (not (tptp.c3_1 X76)))) true _let_161 true _let_160 true (forall ((X73 $$unsorted)) (or (tptp.c2_1 X73) (tptp.c3_1 X73) (not (tptp.c0_1 X73)))) true _let_634 true _let_633 false _let_310 false _let_307 true _let_630 true _let_309 true _let_631 true _let_246 true (forall ((X75 $$unsorted)) (or (tptp.c2_1 X75) (tptp.c3_1 X75) (not (tptp.c1_1 X75)))))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_629)) :args _let_626)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_627 :args (tptp.a878 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_629)) :args _let_626)) _let_628 (MACRO_RESOLUTION_TRUST _let_625 _let_494 _let_624 _let_493 _let_492 _let_498 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_615 _let_614 _let_613 _let_612 _let_611 _let_609 _let_608 _let_366 _let_607 _let_606 _let_603 _let_602 (MACRO_RESOLUTION_TRUST _let_490 _let_495 _let_486 _let_366 _let_498 _let_485 _let_601 _let_600 _let_599 _let_598 _let_593 _let_592 _let_591 _let_590 _let_589 _let_587 (AND_ELIM _let_337 :args (45)) _let_366 _let_456 _let_366 _let_586 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X21 X24)))) :args ((or tptp.hskp2 _let_322 _let_160 _let_323 _let_332) true _let_433 false _let_169 false tptp.ndr1_0 true _let_263 true _let_432 true _let_262 true _let_164 true _let_583 true _let_582 true _let_578 false _let_76 false _let_580 false _let_572 false _let_574 true _let_576 false tptp.hskp9 false tptp.ndr1_0 false _let_210 false tptp.ndr1_0 true _let_577 true (forall ((X24 $$unsorted)) (or (tptp.c2_1 X24) (not (tptp.c0_1 X24)) (not (tptp.c3_1 X24)))))) _let_571 _let_570 (MACRO_RESOLUTION_TRUST _let_568 _let_456 _let_366 _let_567 _let_565 _let_563 _let_564 _let_560 _let_559 :args ((or _let_322 _let_558 _let_557) false _let_210 false tptp.ndr1_0 true _let_556 true _let_160 false _let_227 true _let_229 true _let_51 false _let_53)) _let_555 (MACRO_RESOLUTION_TRUST _let_554 (MACRO_RESOLUTION_TRUST _let_550 (REORDERING (CNF_OR_POS :args (_let_336)) :args ((or _let_257 _let_251 _let_259 _let_546))) _let_549 _let_548 (CNF_OR_NEG :args (_let_258 0)) :args ((or _let_258 _let_547 _let_546) true _let_252 false _let_249 true _let_251 true _let_257)) (MACRO_RESOLUTION_TRUST _let_545 _let_507 _let_544 _let_506 _let_505 _let_508 _let_509 _let_366 _let_484 _let_483 _let_479 _let_478 _let_477 _let_476 _let_475 _let_473 _let_472 _let_366 _let_471 _let_468 _let_465 _let_456 _let_366 _let_454 _let_447 _let_443 _let_442 _let_441 _let_439 (REORDERING (AND_ELIM _let_337 :args (56)) :args ((or tptp.hskp13 tptp.hskp14 _let_521 _let_407))) _let_366 _let_460 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_135 (= X5 X45)))) _let_455 _let_366 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_450 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_449)) :args _let_448)) (REORDERING (CNF_OR_POS :args (_let_404)) :args ((or _let_91 _let_400 _let_402 (not _let_404)))) _let_513 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_403)) :args ((or _let_91 _let_390 _let_402 _let_540))) _let_539 :args ((or _let_91 _let_390 _let_538 _let_540) false _let_391)) _let_539 _let_519 _let_518 _let_517 _let_516 _let_520 _let_537 _let_366 _let_536 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (tptp.a838 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_397)) :args ((or _let_61 _let_396 _let_395 _let_531))) (REORDERING (CNF_AND_POS :args (_let_65 3)) :args ((or _let_62 _let_532))) (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_63 _let_532))) (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_532))) :args ((or _let_532 _let_531) true _let_61 false _let_63 false _let_64)) (AND_ELIM _let_337 :args (12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_435)) :args ((or _let_16 _let_430 _let_428 (not _let_435)))) _let_530 _let_529 _let_528 _let_365 (REORDERING (AND_ELIM _let_337 :args (81)) :args ((or tptp.hskp3 tptp.hskp23 _let_521 _let_437))) _let_366 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_527) :args (tptp.a826 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X86) false))))) :args _let_527)) (REORDERING (CNF_OR_POS :args (_let_436)) :args ((or _let_282 _let_271 _let_270 (not _let_436)))) _let_526 _let_525 _let_524 _let_522 (REORDERING (AND_ELIM _let_337 :args (41)) :args ((or tptp.hskp6 tptp.hskp27 _let_521 _let_424))) _let_366 _let_520 _let_519 _let_513 _let_509 _let_366 _let_508 (MACRO_RESOLUTION_TRUST _let_507 (REORDERING (CNF_OR_POS :args (_let_434)) :args ((or _let_109 _let_409 _let_296 _let_503))) _let_506 _let_505 :args ((or _let_504 _let_503 _let_502) false _let_296 true _let_109 false _let_111)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_501 :args (tptp.a862 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_500)) :args _let_499)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_501 :args (tptp.a820 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_500)) :args _let_499)) _let_498 _let_495 _let_490 _let_486 _let_366 _let_485 _let_484 _let_483 _let_479 _let_478 _let_477 _let_476 _let_475 _let_473 _let_472 _let_366 _let_471 _let_468 _let_465 _let_461 _let_460 _let_456 _let_366 _let_455 _let_366 _let_454 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_450 :args (tptp.a835 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_449)) :args _let_448)) _let_447 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_427)) :args ((or _let_66 _let_426 _let_425 _let_444))) (REORDERING (CNF_AND_POS :args (_let_70 3)) :args ((or _let_67 _let_445))) (REORDERING (CNF_AND_POS :args (_let_70 2)) :args ((or _let_68 _let_445))) (REORDERING (CNF_AND_POS :args (_let_70 1)) :args ((or _let_69 _let_445))) :args ((or _let_445 _let_444) true _let_66 false _let_68 false _let_69)) _let_443 _let_442 _let_441 (AND_ELIM _let_337 :args (11)) _let_439 (REORDERING (AND_ELIM _let_337 :args (83)) :args ((or tptp.hskp11 tptp.hskp12 tptp.hskp14))) (AND_ELIM _let_337 :args (51)) _let_366 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_256 (= X30 X34)))) _let_349 _let_345 _let_339 _let_338 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_394 (= X12 X16)))) :args ((or tptp.hskp2 tptp.hskp12 tptp.hskp14 _let_394 _let_322 _let_247 _let_438 _let_332) true _let_428 true _let_16 false _let_19 false _let_20 false tptp.hskp23 false tptp.ndr1_0 true _let_437 true _let_436 false _let_5 false _let_6 false _let_7 false _let_8 false tptp.hskp27 false tptp.ndr1_0 true tptp.hskp6 true _let_95 false _let_401 false _let_186 false tptp.ndr1_0 true tptp.hskp3 true _let_112 false _let_435 false _let_434 false _let_262 false _let_263 false _let_433 false _let_169 false tptp.ndr1_0 true _let_432 true _let_417 true _let_164 true _let_416 false _let_388 true _let_101 true _let_103 false _let_105 false _let_106 false tptp.hskp4 false tptp.ndr1_0 true _let_168 true _let_414 false _let_413 false _let_431 false _let_410 false _let_160 false tptp.ndr1_0 false _let_406 false tptp.ndr1_0 true _let_210 true _let_405 true _let_213 true _let_427 true _let_56 false _let_58 false _let_59 false _let_70 false _let_60 false tptp.hskp11 false tptp.hskp13 false tptp.ndr1_0 true (forall ((X34 $$unsorted)) (or (tptp.c0_1 X34) (tptp.c3_1 X34) (not (tptp.c1_1 X34)))) true _let_256 true _let_255 false _let_15 false tptp.hskp24 true _let_424)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.a878 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)) (REORDERING (CNF_OR_POS :args (_let_393)) :args ((or _let_12 _let_10 _let_305 (not _let_393)))) _let_420 _let_419 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_385 :args (tptp.a827 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_385 :args (tptp.a821 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) _let_343 _let_344 _let_418 _let_349 _let_345 _let_339 _let_338 :args ((or tptp.hskp2 tptp.hskp14 _let_322 _let_247 _let_360 _let_334 _let_332) true _let_296 true _let_107 true _let_109 false _let_111 false _let_112 false tptp.hskp3 false tptp.ndr1_0 true _let_417 true _let_164 true _let_416 false _let_388 true _let_101 true _let_103 false _let_105 false _let_106 false tptp.hskp4 false tptp.ndr1_0 true _let_168 true _let_414 false _let_413 false _let_160 false tptp.ndr1_0 true _let_210 true _let_213 true _let_56 false _let_58 false _let_59 false _let_60 false tptp.hskp13 false tptp.ndr1_0 false _let_410 true _let_407 false _let_406 false tptp.ndr1_0 true _let_135 true _let_405 true _let_404 true _let_186 true _let_403 false _let_391 true _let_401 true _let_91 false _let_93 false _let_94 false _let_95 false tptp.hskp6 false tptp.ndr1_0 true _let_399 true _let_398 true _let_397 false _let_65 false tptp.hskp12 true _let_394 true _let_393 true _let_305 false _let_315 false _let_392 false _let_389 true _let_12 true _let_10 true _let_386 true _let_256 true _let_255 false _let_15 false tptp.hskp24)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_385 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_384)) :args _let_383)) _let_382 _let_353 _let_349 _let_345 _let_339 _let_338 :args ((or tptp.hskp2 tptp.hskp14 _let_322 _let_334 _let_332) true _let_253 false _let_247 false _let_336 false _let_180 true _let_258 true _let_256 true _let_255 false _let_15 false tptp.hskp24)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_299 (= X18 X23)))) _let_335 :args ((or tptp.hskp2 _let_299 _let_334 _let_333 _let_332 _let_294) false _let_236 false _let_238 true _let_240 true _let_244 true _let_263 true _let_262 true _let_331 false _let_221 true _let_219 true _let_220 true _let_329 true _let_169 true _let_328 false _let_242 true _let_21 true _let_23 false _let_25 false tptp.hskp22 false tptp.ndr1_0 true tptp.hskp1 true _let_124 false _let_241 false _let_326 false _let_160 true _let_246 true _let_247 true _let_248 false _let_55 false tptp.hskp14 true _let_323 true _let_322)) _let_321 _let_320 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_318 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)) _let_319 :args ((or tptp.hskp2 _let_150 _let_295 _let_294) false _let_305 true _let_10 true _let_12 false _let_14 false _let_315 false _let_15 false _let_180 false tptp.hskp24 true tptp.hskp14 true _let_55 false _let_229 false _let_160 true tptp.hskp8 true _let_84 false _let_248 false _let_313 false _let_247 false _let_311 false _let_306 false _let_304 false _let_299 false _let_245 false _let_243 false _let_298 false _let_297)) :args ((or tptp.hskp2 _let_295 _let_214 _let_294) true _let_293 false _let_292 false tptp.ndr1_0 true _let_291 true tptp.hskp20 false _let_234 true _let_37 false _let_289 false _let_288 false _let_169 true _let_161 true _let_160 false _let_230 false _let_232 true _let_285 true _let_286 true _let_284 true _let_207 true _let_283 true _let_272 false _let_5 false _let_6 false _let_7 false _let_8 false _let_281 false _let_274 false tptp.hskp27 false tptp.ndr1_0 false _let_269 true _let_268 true _let_267 true _let_144)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_264)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_264)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (tptp.a855 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_264)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (tptp.a830 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_264)) :args ((or _let_159 _let_214) true _let_236 false _let_238 true _let_240 true _let_244 true _let_263 true _let_262 true _let_261 true _let_85 true _let_87 false _let_89 false _let_90 false tptp.hskp7 false tptp.ndr1_0 true _let_203 true _let_196 true _let_260 false _let_252 false _let_249 true _let_251 true _let_258 true _let_256 true _let_255 false _let_15 false tptp.hskp24 true tptp.hskp14 true _let_55 false _let_253 false _let_248 false _let_247 false _let_246 false _let_245 false _let_243 false _let_144 false _let_241 false _let_235 false _let_229 false _let_160 true _let_180 true _let_171 true _let_113 true _let_115 false _let_117 false _let_118 false tptp.hskp2 false _let_226 false _let_222 false _let_218 false _let_216)))) (let ((_let_853 (_let_159))) (let ((_let_854 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_853)) :args _let_853)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_159) _let_145))) (REFL :args (_let_154)) :args _let_350)))) (let ((_let_855 (CNF_OR_NEG :args (_let_152 0)))) (let ((_let_856 (CNF_OR_NEG :args (_let_152 1)))) (let ((_let_857 (CNF_OR_NEG :args (_let_152 2)))) (let ((_let_858 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_318 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)))) (let ((_let_859 (not _let_163))) (let ((_let_860 (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_148 _let_147 _let_146 _let_153))))) (let ((_let_861 (MACRO_RESOLUTION_TRUST _let_860 (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_151 _let_148 _let_162 _let_859))) _let_857 _let_856 _let_855 :args ((or _let_152 _let_153 _let_859) true _let_146 true _let_147 true _let_148 true _let_151)))) (let ((_let_862 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_481)) :args _let_480)))) (let ((_let_863 (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_148 _let_147 _let_162 (not _let_166)))))) (let ((_let_864 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_489 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_488)) :args _let_487)))) (let ((_let_865 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_169 (= X11 X41)))))) (let ((_let_866 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_186 (= X9 X40)))))) (let ((_let_867 (AND_ELIM _let_337 :args (54)))) (let ((_let_868 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_195 (= X31 X42)))))) (let ((_let_869 (not _let_199))) (let ((_let_870 (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_51 _let_198 _let_197 _let_869))))) (let ((_let_871 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_678 :args (tptp.a842 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_676)))) (let ((_let_872 (MACRO_RESOLUTION_TRUST _let_486 _let_366 _let_864 _let_485 _let_863 _let_862 _let_860 _let_861 _let_857 _let_856 :args ((or tptp.hskp2 _let_152 _let_153) false tptp.ndr1_0 true _let_169 true _let_432 true _let_166 true _let_164 false _let_146 true _let_163 true _let_147 true _let_148)))) (let ((_let_873 (MACRO_RESOLUTION_TRUST _let_722 _let_720 _let_719 _let_718 _let_717 _let_858 _let_872 _let_788 _let_794 _let_795 (MACRO_RESOLUTION_TRUST _let_871 _let_870 _let_868 _let_560 _let_559 _let_562 _let_867 _let_366 _let_555 _let_866 _let_832 _let_366 _let_829 _let_830 _let_828 _let_381 _let_827 _let_376 _let_792 _let_791 _let_790 _let_812 _let_788 _let_865 _let_816 _let_826 _let_486 _let_366 _let_864 _let_817 _let_366 _let_485 _let_863 _let_862 _let_860 _let_861 _let_858 _let_369 _let_368 _let_808 _let_848 _let_362 _let_857 _let_856 _let_854 _let_852 :args ((or tptp.hskp7 _let_180 _let_214 _let_754) true _let_199 false _let_195 true _let_51 false _let_53 false _let_54 false _let_192 false tptp.ndr1_0 false _let_55 true _let_191 false tptp.hskp14 false tptp.ndr1_0 true _let_186 true _let_203 true _let_182 true _let_196 false _let_172 true _let_194 true _let_113 true _let_115 false _let_117 false _let_175 false _let_118 true _let_179 false _let_177 false _let_173 false tptp.hskp2 false tptp.ndr1_0 true _let_169 false _let_167 false tptp.ndr1_0 true _let_432 true _let_166 true _let_164 false _let_146 true _let_163 false _let_149 false _let_183 true _let_174 true _let_176 false _let_144 true _let_185 true _let_147 true _let_148 true _let_152 true _let_145)) _let_833 (MACRO_RESOLUTION_TRUST _let_850 _let_837 _let_836 _let_835 :args ((or _let_834 _let_849) true _let_85 true _let_87 false _let_89)) _let_851 _let_721 (AND_ELIM _let_337 :args (31)) _let_366 _let_607 _let_606 _let_753 _let_602 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_145 (= U W)))) _let_854 _let_852 :args ((or _let_584 _let_214) false _let_157 true _let_155 true _let_156 true _let_712 true _let_144 true _let_149 true tptp.hskp2 true _let_118 false _let_171 false _let_180 true tptp.hskp7 true _let_90 false _let_261 false _let_714 false _let_262 false tptp.ndr1_0 true tptp.hskp1 true _let_124 false _let_235 false _let_326 true (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W))) true _let_152 true _let_145)))) (let ((_let_874 (or _let_151 _let_148 _let_146))) (let ((_let_875 (REORDERING (CNF_OR_NEG :args (_let_149 2)) :args ((or _let_162 _let_149))))) (let ((_let_876 (not _let_874))) (let ((_let_877 (REORDERING (CNF_OR_POS :args (_let_874)) :args ((or _let_151 _let_148 _let_146 _let_876))))) (let ((_let_878 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_815 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_814)) :args _let_813)))) (let ((_let_879 (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_151 _let_147 _let_162 (not _let_165)))))) (let ((_let_880 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_470 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_825)) :args _let_469)))) (let ((_let_881 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_168 (= X13 X25)))))) (let ((_let_882 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_678 :args (tptp.a857 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_677)) :args _let_676)))) (let ((_let_883 (MACRO_RESOLUTION_TRUST _let_870 _let_560 _let_559 _let_562 :args ((or _let_558 _let_869) true _let_51 false _let_53 false _let_54)))) (let ((_let_884 (AND_ELIM _let_337 :args (46)))) (let ((_let_885 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_210 (= X22 X27)))))) (let ((_let_886 (REORDERING (CNF_AND_POS :args (_let_31 1)) :args ((or _let_30 _let_844))))) (let ((_let_887 (REORDERING (CNF_OR_POS :args (_let_202)) :args ((or _let_28 _let_201 _let_200 (not _let_202)))))) (let ((_let_888 (MACRO_RESOLUTION_TRUST _let_887 _let_847 _let_846 _let_845 _let_886 _let_843 _let_842 _let_366 _let_439 _let_831 _let_454 _let_885 _let_884 _let_366 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_833 _let_832 _let_366 _let_555 _let_883 _let_830 _let_882 _let_871 _let_381 _let_868 _let_376 _let_867 _let_366 _let_812 _let_866 _let_820 _let_819 _let_369 _let_368 _let_808 _let_829 _let_818 _let_362 _let_828 _let_795 _let_827 _let_865 _let_881 _let_816 _let_826 _let_794 _let_792 _let_791 _let_790 _let_864 _let_880 _let_817 _let_366 _let_788 _let_863 _let_879 _let_862 _let_872 _let_860 _let_861 (MACRO_RESOLUTION_TRUST _let_663 _let_366 _let_662 _let_592 _let_721 _let_598 _let_722 _let_600 _let_720 _let_817 _let_366 _let_719 _let_718 _let_878 _let_717 _let_877 _let_858 _let_875 _let_856 _let_855 _let_854 _let_852 _let_660 _let_873 :args ((or _let_149 _let_214) false tptp.ndr1_0 true _let_661 true tptp.hskp9 true _let_262 true _let_76 true _let_714 false _let_582 false _let_157 false _let_164 false tptp.ndr1_0 true _let_155 true _let_156 true _let_167 true _let_712 true _let_874 true _let_144 true _let_146 true _let_148 true _let_151 true _let_152 true _let_145 true _let_161 true _let_160)) _let_660 _let_873 _let_857 _let_856 _let_855 _let_854 _let_852 :args (_let_214 false _let_189 true _let_26 true _let_28 false _let_30 false _let_31 false tptp.hskp21 false tptp.ndr1_0 true tptp.hskp13 true _let_60 false _let_213 false _let_210 false _let_209 false tptp.ndr1_0 true _let_208 true _let_207 true _let_206 false _let_187 true _let_85 true _let_87 false _let_89 false _let_90 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp14 true _let_55 true _let_203 false _let_202 false _let_199 true _let_196 false _let_195 true _let_194 false _let_192 false tptp.ndr1_0 false _let_175 true _let_191 false _let_190 false _let_188 false _let_183 true _let_174 true _let_176 true _let_186 false _let_144 true _let_185 true _let_182 true _let_180 false _let_172 true _let_179 true _let_178 false _let_177 false _let_173 true _let_171 true _let_113 true _let_115 false _let_117 true _let_169 true _let_168 false _let_167 false tptp.ndr1_0 false _let_118 true _let_166 true _let_165 true _let_164 false tptp.hskp2 false _let_146 true _let_163 false _let_149 true _let_161 true _let_160 true _let_147 true _let_148 true _let_151 true _let_152 true _let_145)))) (let ((_let_889 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_266 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_265)) :args _let_264)) _let_888 :args (_let_159 true _let_158)))) (let ((_let_890 (MACRO_RESOLUTION_TRUST _let_854 _let_889 :args (_let_154 true _let_145)))) (let ((_let_891 (tptp.c2_1 tptp.a815))) (let ((_let_892 (not _let_891))) (let ((_let_893 (or _let_125 _let_139 _let_892))) (let ((_let_894 (or _let_157 _let_155 _let_711))) (let ((_let_895 (or _let_891 _let_125 _let_139))) (let ((_let_896 (or _let_176 _let_175 _let_184))) (let ((_let_897 (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (tptp.c2_1 X14) (tptp.c3_1 X14))))) (let ((_let_898 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_899 (not _let_898))) (let ((_let_900 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_901 (or _let_900 _let_899 (not (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))) (let ((_let_902 (forall ((X4 $$unsorted)) (or (tptp.c0_1 X4) (tptp.c1_1 X4) (not (tptp.c2_1 X4)))))) (let ((_let_903 (or _let_745 _let_742 _let_749))) (let ((_let_904 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_905 (or _let_904 _let_900 _let_899))) (let ((_let_906 (or _let_310 _let_630 _let_308))) (let ((_let_907 (not _let_904))) (let ((_let_908 (or _let_900 _let_899 _let_907))) (let ((_let_909 (not _let_711))) (let ((_let_910 (or _let_157 _let_156 _let_909))) (let ((_let_911 (not _let_910))) (let ((_let_912 (REORDERING (CNF_OR_NEG :args (_let_158 0)) :args ((or _let_713 _let_158))))) (let ((_let_913 (not _let_155))) (let ((_let_914 (REORDERING (CNF_OR_NEG :args (_let_158 2)) :args ((or _let_913 _let_158))))) (let ((_let_915 (MACRO_RESOLUTION_TRUST _let_857 _let_890 :args ((not _let_147) true _let_152)))) (let ((_let_916 (MACRO_RESOLUTION_TRUST _let_856 _let_890 :args ((not _let_148) true _let_152)))) (let ((_let_917 (MACRO_RESOLUTION_TRUST _let_855 _let_890 :args ((not _let_151) true _let_152)))) (let ((_let_918 (AND_ELIM _let_337 :args (30)))) (let ((_let_919 (CNF_OR_NEG :args (_let_712 2)))) (let ((_let_920 (AND_ELIM _let_337 :args (0)))) (let ((_let_921 (MACRO_RESOLUTION_TRUST _let_914 _let_888 :args (_let_913 true _let_158)))) (let ((_let_922 (MACRO_RESOLUTION_TRUST _let_912 _let_888 :args (_let_713 true _let_158)))) (let ((_let_923 (not _let_894))) (let ((_let_924 (REORDERING (CNF_OR_POS :args (_let_894)) :args ((or _let_155 _let_711 _let_157 _let_923))))) (let ((_let_925 (not _let_129))) (let ((_let_926 (REORDERING (CNF_AND_POS :args (_let_129 2)) :args ((or _let_127 _let_925))))) (let ((_let_927 (REORDERING (CNF_AND_POS :args (_let_129 3)) :args ((or _let_126 _let_925))))) (let ((_let_928 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_125 _let_140 _let_139 _let_143))) _let_927 _let_926 (REORDERING (CNF_AND_POS :args (_let_129 1)) :args ((or _let_128 _let_925))) :args ((or _let_925 _let_143) true _let_125 false _let_127 false _let_128)))) (let ((_let_929 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)))) (let ((_let_930 (_let_138))) (let ((_let_931 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_930) :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X6) true))))) :args _let_930)))) (let ((_let_932 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_394 (= X12 X14)))))) (let ((_let_933 (not _let_901))) (let ((_let_934 (_let_142))) (let ((_let_935 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_934)) :args _let_934)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_142) _let_138))) (REFL :args (_let_933)) :args _let_350)))) (let ((_let_936 (_let_902))) (let ((_let_937 (CNF_OR_NEG :args (_let_901 0)))) (let ((_let_938 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_901 1)) (CONG (REFL :args (_let_901)) (MACRO_SR_PRED_INTRO :args ((= (not _let_899) _let_898))) :args _let_350)) :args ((or _let_898 _let_901))))) (let ((_let_939 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (tptp.a825 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)))) (let ((_let_940 (not _let_133))) (let ((_let_941 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_96 _let_132 _let_131 _let_940))) (REORDERING (CNF_AND_POS :args (_let_100 3)) :args ((or _let_97 _let_134))) (REORDERING (CNF_AND_POS :args (_let_100 2)) :args ((or _let_98 _let_134))) (REORDERING (CNF_AND_POS :args (_let_100 1)) :args ((or _let_99 _let_134))) :args ((or _let_134 _let_940) true _let_96 false _let_98 false _let_99)))) (let ((_let_942 (AND_ELIM _let_337 :args (40)))) (let ((_let_943 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_657 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_656)) :args _let_655)))) (let ((_let_944 (not _let_905))) (let ((_let_945 (REORDERING (CNF_OR_POS :args (_let_905)) :args ((or _let_900 _let_899 _let_904 _let_944))))) (let ((_let_946 (REORDERING (CNF_OR_POS :args (_let_908)) :args ((or _let_900 _let_899 _let_907 (not _let_908)))))) (let ((_let_947 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_535 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_534)) :args _let_533)))) (let ((_let_948 (MACRO_RESOLUTION_TRUST _let_788 (MACRO_RESOLUTION_TRUST _let_775 (REORDERING (CNF_OR_POS :args (_let_903)) :args ((or _let_745 _let_742 _let_749 (not _let_903)))) _let_774 _let_773 _let_771 _let_770 _let_513 _let_519 _let_520 _let_537 _let_366 _let_536 _let_418 _let_947 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_348 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_347)) :args _let_346)) _let_946 (REORDERING (CNF_OR_POS :args (_let_906)) :args ((or _let_630 _let_308 _let_310 (not _let_906)))) _let_945 _let_654 _let_943 _let_658 _let_942 _let_366 _let_364 _let_941 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_543 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_542)) :args _let_541)) _let_939 _let_653 _let_652 _let_651 (AND_ELIM _let_337 :args (35)) _let_366 _let_650 _let_938 _let_937 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_936) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X4) true))))) :args _let_936)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_553 :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_552)) :args _let_551)) _let_935 _let_932 (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_176 _let_184 _let_175 (not _let_896)))) (REORDERING (CNF_OR_POS :args (_let_895)) :args ((or _let_125 _let_139 _let_891 (not _let_895)))) _let_931 _let_929 _let_376 (REORDERING (CNF_OR_POS :args (_let_893)) :args ((or _let_125 _let_139 _let_892 (not _let_893)))) _let_928 _let_927 _let_926 _let_924 _let_922 _let_921 _let_761 _let_381 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_380 :args (tptp.a815 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_379)) :args _let_378)) _let_920 _let_919 _let_811 _let_366 _let_918 _let_366 _let_889 _let_717 _let_810 (MACRO_RESOLUTION_TRUST _let_887 _let_847 _let_846 _let_845 _let_886 _let_843 _let_842 _let_366 _let_439 _let_831 _let_454 _let_885 _let_884 _let_366 _let_841 _let_840 _let_839 _let_838 _let_837 _let_836 _let_835 _let_833 _let_832 _let_366 _let_555 _let_883 _let_882 _let_871 _let_868 _let_867 _let_366 _let_830 _let_866 _let_381 _let_829 _let_376 _let_828 _let_812 _let_827 _let_865 _let_881 _let_816 _let_826 _let_864 _let_880 _let_817 _let_366 _let_863 _let_916 _let_915 _let_879 _let_915 _let_917 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_482 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_481)) :args _let_480)) _let_860 _let_916 _let_915 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_712)) :args ((or _let_156 _let_155 _let_711 _let_715))) (REORDERING (CNF_OR_POS :args (_let_910)) :args ((or _let_156 _let_909 _let_157 _let_911))) _let_914 (REORDERING (CNF_OR_NEG :args (_let_158 1)) :args ((or (not _let_156) _let_158))) _let_912 :args ((or _let_715 _let_158 _let_911) true _let_711 true _let_155 true _let_156 true _let_157)) _let_888 _let_858 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_318 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_317)) :args _let_316)) _let_820 _let_819 :args ((or _let_115 _let_113 _let_170 _let_150 _let_176 _let_174 _let_184) false _let_189 true _let_26 true _let_28 false _let_30 false _let_31 false tptp.hskp21 false tptp.ndr1_0 true tptp.hskp13 true _let_60 false _let_213 false _let_210 false _let_209 false tptp.ndr1_0 true _let_208 true _let_207 true _let_206 false _let_187 true _let_85 true _let_87 false _let_89 false _let_90 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp14 true _let_55 false _let_202 false _let_199 false _let_195 false _let_192 false tptp.ndr1_0 true _let_203 true _let_191 true _let_196 true _let_186 true _let_194 true _let_182 false _let_175 false _let_172 true _let_179 true _let_178 false _let_177 false _let_173 true _let_169 true _let_168 false _let_167 false tptp.ndr1_0 true _let_166 true _let_148 true _let_147 true _let_165 true _let_147 true _let_151 true _let_164 false _let_146 true _let_148 true _let_147 true _let_910 true _let_158 false _let_149 false _let_712 false _let_190 false _let_188)) _let_369 _let_368 _let_808 _let_362 _let_795 _let_794 _let_792 _let_791 _let_790 :args (_let_789 true _let_743 false _let_739 false _let_741 true _let_745 true _let_746 true _let_186 true _let_401 false _let_95 false tptp.hskp6 false tptp.ndr1_0 true _let_399 true _let_386 true _let_398 true _let_256 true _let_908 true _let_906 false _let_904 true _let_310 false _let_905 false _let_633 false _let_634 false tptp.ndr1_0 true tptp.hskp5 true _let_100 false _let_903 false _let_133 false _let_307 true _let_630 true _let_309 false _let_135 false tptp.ndr1_0 true _let_631 false _let_898 true _let_900 true _let_902 true _let_247 true _let_901 true _let_897 true _let_896 true _let_895 true _let_138 true _let_394 true _let_175 true _let_891 true _let_141 true _let_125 false _let_127 true _let_894 true _let_157 true _let_155 false _let_744 false _let_194 false _let_893 false _let_129 true _let_711 false _let_196 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true _let_145 true _let_712 true _let_809 true _let_144 false _let_183 true _let_174 true _let_176 true _let_185 true _let_180 true _let_171 true _let_113 true _let_115 false _let_117)) :args (_let_119 true _let_118)))) (let ((_let_949 (MACRO_RESOLUTION_TRUST _let_872 _let_948 _let_890 :args (_let_153 true tptp.hskp2 true _let_152)))) (let ((_let_950 (MACRO_RESOLUTION_TRUST _let_858 _let_949 :args (_let_150 true _let_149)))) (let ((_let_951 (MACRO_RESOLUTION_TRUST _let_931 (MACRO_RESOLUTION_TRUST _let_928 (MACRO_RESOLUTION_TRUST _let_920 (MACRO_RESOLUTION_TRUST _let_918 _let_366 _let_889 _let_950 :args (tptp.hskp0 false tptp.ndr1_0 true _let_145 true _let_144)) :args (_let_129 false tptp.hskp0)) :args (_let_143 false _let_129)) :args (_let_142 true _let_141)))) (let ((_let_952 (forall ((Y $$unsorted)) (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y))))) (let ((_let_953 (MACRO_RESOLUTION_TRUST _let_935 _let_951 :args (_let_933 true _let_138)))) (let ((_let_954 (MACRO_RESOLUTION_TRUST _let_938 _let_953 :args (_let_898 true _let_901)))) (let ((_let_955 (MACRO_RESOLUTION_TRUST _let_937 _let_953 :args ((not _let_900) true _let_901)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_364 (MACRO_RESOLUTION_TRUST _let_942 _let_366 (MACRO_RESOLUTION_TRUST _let_932 (MACRO_RESOLUTION_TRUST _let_929 (MACRO_RESOLUTION_TRUST _let_924 _let_921 (MACRO_RESOLUTION_TRUST _let_919 (MACRO_RESOLUTION_TRUST _let_717 _let_950 :args (_let_715 true _let_144)) :args (_let_909 true _let_712)) _let_922 :args (_let_923 true _let_155 true _let_711 true _let_157)) :args ((not _let_394) true _let_894)) :args ((not _let_897) true _let_394)) (MACRO_RESOLUTION_TRUST _let_943 (MACRO_RESOLUTION_TRUST _let_945 _let_955 _let_954 (MACRO_RESOLUTION_TRUST _let_946 _let_955 _let_954 (MACRO_RESOLUTION_TRUST _let_947 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_337 :args (32)) _let_948 _let_366 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_145 (= U Y)))) _let_889 :args ((not _let_952) true _let_145)) :args (_let_398 true tptp.hskp2 false tptp.ndr1_0 true _let_952)) :args (_let_908 false _let_398)) :args (_let_907 true _let_900 false _let_898 false _let_908)) :args (_let_944 true _let_900 false _let_898 true _let_904)) :args ((not _let_634) true _let_905)) :args (tptp.hskp5 false tptp.ndr1_0 true _let_897 true _let_634)) (MACRO_RESOLUTION_TRUST _let_941 (MACRO_RESOLUTION_TRUST _let_939 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_135 (= X5 X43)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_337 :args (55)) (MACRO_RESOLUTION_TRUST _let_592 (MACRO_RESOLUTION_TRUST _let_598 (MACRO_RESOLUTION_TRUST _let_600 (MACRO_RESOLUTION_TRUST _let_817 _let_366 (MACRO_RESOLUTION_TRUST _let_878 (MACRO_RESOLUTION_TRUST _let_877 _let_917 _let_916 (MACRO_RESOLUTION_TRUST _let_875 _let_949 :args (_let_162 true _let_149)) :args (_let_876 true _let_151 true _let_148 true _let_146)) :args ((not _let_167) true _let_874)) :args (_let_164 false tptp.ndr1_0 true _let_167)) :args (_let_582 false _let_164)) :args (_let_595 false _let_582)) :args (_let_77 true _let_76)) _let_366 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_138 (= X6 X44)))) _let_951 :args ((not _let_137) true _let_138)) :args (_let_136 true tptp.hskp9 false tptp.ndr1_0 true _let_137)) :args (_let_135 false _let_136)) :args (_let_133 false _let_135)) :args (_let_134 false _let_133)) :args (false false tptp.hskp5 true _let_100)) :args (_let_130 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.75 )
% 0.21/0.75 % SZS output end Proof for SYN452+1
% 0.21/0.75 % cvc5---1.0.5 exiting
% 0.21/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------