TSTP Solution File: SYN499+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 02:03:41 EDT 2023
% Result : Theorem 0.25s 0.79s
% Output : Proof 0.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : SYN499+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n029.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 20:03:10 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.25/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.25/0.79 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.1zoRU8pcbX/cvc5---1.0.5_16575.p...
% 0.25/0.79 ------- get file name : TPTP file name is SYN499+1
% 0.25/0.79 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16575.smt2...
% 0.25/0.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.25/0.79 % SZS status Theorem for SYN499+1
% 0.25/0.79 % SZS output start Proof for SYN499+1
% 0.25/0.79 (
% 0.25/0.79 (let ((_let_1 (tptp.c1_1 tptp.a136))) (let ((_let_2 (tptp.c0_1 tptp.a136))) (let ((_let_3 (and tptp.ndr1_0 _let_2 _let_1 (tptp.c2_1 tptp.a136)))) (let ((_let_4 (tptp.c3_1 tptp.a133))) (let ((_let_5 (tptp.c2_1 tptp.a133))) (let ((_let_6 (tptp.c1_1 tptp.a133))) (let ((_let_7 (and tptp.ndr1_0 _let_6 _let_5 _let_4))) (let ((_let_8 (tptp.c3_1 tptp.a122))) (let ((_let_9 (tptp.c2_1 tptp.a122))) (let ((_let_10 (and tptp.ndr1_0 (tptp.c0_1 tptp.a122) _let_9 _let_8))) (let ((_let_11 (tptp.c1_1 tptp.a189))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.c0_1 tptp.a189))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c3_1 tptp.a189))) (let ((_let_16 (and tptp.ndr1_0 _let_15 _let_14 _let_12))) (let ((_let_17 (tptp.c3_1 tptp.a182))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c2_1 tptp.a182))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c0_1 tptp.a182))) (let ((_let_22 (not _let_21))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_20 _let_18))) (let ((_let_24 (tptp.c2_1 tptp.a176))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c1_1 tptp.a176))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c0_1 tptp.a176))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_25))) (let ((_let_30 (tptp.c1_1 tptp.a170))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c2_1 tptp.a170))) (let ((_let_33 (tptp.c0_1 tptp.a170))) (let ((_let_34 (and tptp.ndr1_0 _let_33 _let_32 _let_31))) (let ((_let_35 (tptp.c2_1 tptp.a164))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.c3_1 tptp.a164))) (let ((_let_38 (tptp.c1_1 tptp.a164))) (let ((_let_39 (and tptp.ndr1_0 _let_38 _let_37 _let_36))) (let ((_let_40 (tptp.c2_1 tptp.a160))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.c1_1 tptp.a160))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c3_1 tptp.a160))) (let ((_let_45 (and tptp.ndr1_0 _let_44 _let_43 _let_41))) (let ((_let_46 (tptp.c2_1 tptp.a155))) (let ((_let_47 (not _let_46))) (let ((_let_48 (tptp.c0_1 tptp.a155))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.c1_1 tptp.a155))) (let ((_let_51 (and tptp.ndr1_0 _let_50 _let_49 _let_47))) (let ((_let_52 (not tptp.hskp17))) (let ((_let_53 (tptp.c0_1 tptp.a154))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c3_1 tptp.a154))) (let ((_let_56 (tptp.c1_1 tptp.a154))) (let ((_let_57 (and tptp.ndr1_0 _let_56 _let_55 _let_54))) (let ((_let_58 (tptp.c0_1 tptp.a153))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.c3_1 tptp.a153))) (let ((_let_61 (tptp.c2_1 tptp.a153))) (let ((_let_62 (and tptp.ndr1_0 _let_61 _let_60 _let_59))) (let ((_let_63 (tptp.c1_1 tptp.a143))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.c3_1 tptp.a143))) (let ((_let_66 (tptp.c2_1 tptp.a143))) (let ((_let_67 (and tptp.ndr1_0 _let_66 _let_65 _let_64))) (let ((_let_68 (tptp.c1_1 tptp.a142))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c3_1 tptp.a142))) (let ((_let_71 (tptp.c0_1 tptp.a142))) (let ((_let_72 (and tptp.ndr1_0 _let_71 _let_70 _let_69))) (let ((_let_73 (tptp.c3_1 tptp.a141))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c2_1 tptp.a141))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.c1_1 tptp.a141))) (let ((_let_78 (not _let_77))) (let ((_let_79 (and tptp.ndr1_0 _let_78 _let_76 _let_74))) (let ((_let_80 (tptp.c3_1 tptp.a140))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c2_1 tptp.a140))) (let ((_let_83 (not _let_82))) (let ((_let_84 (tptp.c0_1 tptp.a140))) (let ((_let_85 (and tptp.ndr1_0 _let_84 _let_83 _let_81))) (let ((_let_86 (tptp.c2_1 tptp.a138))) (let ((_let_87 (not _let_86))) (let ((_let_88 (tptp.c1_1 tptp.a138))) (let ((_let_89 (tptp.c0_1 tptp.a138))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_87))) (let ((_let_91 (tptp.c3_1 tptp.a134))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c0_1 tptp.a134))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.c2_1 tptp.a134))) (let ((_let_96 (and tptp.ndr1_0 _let_95 _let_94 _let_92))) (let ((_let_97 (tptp.c2_1 tptp.a132))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c0_1 tptp.a132))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.c3_1 tptp.a132))) (let ((_let_102 (and tptp.ndr1_0 _let_101 _let_100 _let_98))) (let ((_let_103 (tptp.c2_1 tptp.a131))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.c1_1 tptp.a131))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.c0_1 tptp.a131))) (let ((_let_108 (not _let_107))) (let ((_let_109 (and tptp.ndr1_0 _let_108 _let_106 _let_104))) (let ((_let_110 (tptp.c3_1 tptp.a128))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.c1_1 tptp.a128))) (let ((_let_113 (tptp.c0_1 tptp.a128))) (let ((_let_114 (and tptp.ndr1_0 _let_113 _let_112 _let_111))) (let ((_let_115 (tptp.c3_1 tptp.a127))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.c2_1 tptp.a127))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.c1_1 tptp.a127))) (let ((_let_120 (and tptp.ndr1_0 _let_119 _let_118 _let_116))) (let ((_let_121 (tptp.c0_1 tptp.a125))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.c2_1 tptp.a125))) (let ((_let_124 (tptp.c1_1 tptp.a125))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_123 _let_122))) (let ((_let_126 (tptp.c1_1 tptp.a123))) (let ((_let_127 (not _let_126))) (let ((_let_128 (tptp.c0_1 tptp.a123))) (let ((_let_129 (not _let_128))) (let ((_let_130 (tptp.c2_1 tptp.a123))) (let ((_let_131 (and tptp.ndr1_0 _let_130 _let_129 _let_127))) (let ((_let_132 (not (not (and (or (not tptp.hskp0) _let_131) (or (not tptp.hskp1) (and tptp.ndr1_0 (tptp.c1_1 tptp.a124) (tptp.c2_1 tptp.a124) (not (tptp.c3_1 tptp.a124)))) (or (not tptp.hskp2) _let_125) (or (not tptp.hskp3) _let_120) (or (not tptp.hskp4) _let_114) (or (not tptp.hskp5) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a130)) (not (tptp.c1_1 tptp.a130)) (not (tptp.c3_1 tptp.a130)))) (or (not tptp.hskp6) _let_109) (or (not tptp.hskp7) _let_102) (or (not tptp.hskp8) _let_96) (or (not tptp.hskp9) _let_90) (or (not tptp.hskp10) _let_85) (or (not tptp.hskp11) _let_79) (or (not tptp.hskp12) _let_72) (or (not tptp.hskp13) _let_67) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c0_1 tptp.a147) (not (tptp.c1_1 tptp.a147)) (not (tptp.c3_1 tptp.a147)))) (or (not tptp.hskp15) _let_62) (or (not tptp.hskp16) _let_57) (or _let_52 _let_51) (or (not tptp.hskp18) _let_45) (or (not tptp.hskp19) _let_39) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c1_1 tptp.a168) (not (tptp.c0_1 tptp.a168)) (not (tptp.c3_1 tptp.a168)))) (or (not tptp.hskp21) _let_34) (or (not tptp.hskp22) _let_29) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c2_1 tptp.a179) (not (tptp.c1_1 tptp.a179)) (not (tptp.c3_1 tptp.a179)))) (or (not tptp.hskp24) _let_23) (or (not tptp.hskp25) _let_16) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a225) (tptp.c2_1 tptp.a225) (not (tptp.c3_1 tptp.a225)))) (or (not tptp.hskp27) _let_10) (or (not tptp.hskp28) _let_7) (or (not tptp.hskp29) _let_3) (or (not tptp.hskp30) (and tptp.ndr1_0 (tptp.c0_1 tptp.a167) (tptp.c1_1 tptp.a167) (tptp.c3_1 tptp.a167))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V)))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 W) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c2_1 Y) (not (tptp.c1_1 Y))))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c2_1 Z) (not (tptp.c3_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.c0_1 X2) (tptp.c2_1 X2) (not (tptp.c1_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X3) (tptp.c3_1 X3) (not (tptp.c0_1 X3)))))) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c2_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c3_1 X5) (not (tptp.c2_1 X5))))) tptp.hskp27) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c2_1 X6)))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X7) (tptp.c3_1 X7) (not (tptp.c1_1 X7))))) tptp.hskp0) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c2_1 X8)))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X9) (not (tptp.c0_1 X9)) (not (tptp.c1_1 X9))))) tptp.hskp1) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (tptp.c2_1 X10)))) tptp.hskp2 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 (tptp.c2_1 X12) (tptp.c3_1 X12) (not (tptp.c1_1 X12))))) tptp.hskp3) (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.hskp4) (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.c1_1 X16) (not (tptp.c0_1 X16)) (not (tptp.c2_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X17)) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)))))) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c2_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X19) (not (tptp.c0_1 X19)) (not (tptp.c2_1 X19))))) tptp.hskp27) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c2_1 X20))))) (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X21)) (not (tptp.c1_1 X21)) (not (tptp.c2_1 X21))))) tptp.hskp5) (or (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X22) (tptp.c1_1 X22) (not (tptp.c3_1 X22))))) (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.c3_1 X24) (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24)))))) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c1_1 X25) (not (tptp.c3_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X26) (tptp.c2_1 X26) (not (tptp.c3_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X27) (not (tptp.c2_1 X27)) (not (tptp.c3_1 X27)))))) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c1_1 X28) (not (tptp.c3_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X29) (not (tptp.c0_1 X29)) (not (tptp.c3_1 X29))))) tptp.hskp6) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c1_1 X30) (not (tptp.c3_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c0_1 X31)) (not (tptp.c1_1 X31))))) tptp.hskp7) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c1_1 X32) (not (tptp.c3_1 X32))))) tptp.hskp28 tptp.hskp8) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (tptp.c3_1 X33)))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X34)) (not (tptp.c2_1 X34)) (not (tptp.c3_1 X34))))) tptp.hskp8) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c2_1 X35) (tptp.c3_1 X35)))) tptp.hskp29 tptp.hskp7) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c2_1 X36) (tptp.c3_1 X36)))) tptp.hskp9 tptp.hskp7) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c2_1 X37) (tptp.c3_1 X37)))) tptp.hskp10 tptp.hskp11) (or (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (tptp.c2_1 X38) (not (tptp.c1_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X40) (not (tptp.c0_1 X40)) (not (tptp.c3_1 X40)))))) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c1_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp12) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c1_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (tptp.c2_1 X44) (not (tptp.c0_1 X44))))) tptp.hskp13) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c2_1 X45) (not (tptp.c1_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X46) (not (tptp.c0_1 X46)) (not (tptp.c1_1 X46))))) tptp.hskp28) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (tptp.c2_1 X47) (not (tptp.c1_1 X47))))) tptp.hskp28 tptp.hskp3) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X49) (tptp.c3_1 X49) (not (tptp.c2_1 X49))))) tptp.hskp14) (or (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X50) (tptp.c2_1 X50) (not (tptp.c3_1 X50))))) (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (tptp.c2_1 X52) (not (tptp.c0_1 X52)))))) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (tptp.c2_1 X53) (not (tptp.c3_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X54) (tptp.c3_1 X54) (not (tptp.c1_1 X54))))) tptp.hskp29) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (tptp.c2_1 X55) (not (tptp.c3_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X56) (not (tptp.c0_1 X56)) (not (tptp.c2_1 X56))))) tptp.hskp12) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (tptp.c2_1 X57) (not (tptp.c3_1 X57))))) tptp.hskp14 tptp.hskp7) (or (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X58) (tptp.c2_1 X58) (not (tptp.c3_1 X58))))) tptp.hskp10 tptp.hskp15) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (tptp.c3_1 X59) (not (tptp.c1_1 X59))))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X60) (not (tptp.c1_1 X60)) (not (tptp.c2_1 X60))))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X61)) (not (tptp.c2_1 X61)) (not (tptp.c3_1 X61)))))) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X62) (tptp.c3_1 X62) (not (tptp.c1_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X63)) (not (tptp.c2_1 X63)) (not (tptp.c3_1 X63))))) tptp.hskp16) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X64) (tptp.c3_1 X64) (not (tptp.c2_1 X64))))) (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (not (tptp.c3_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X66)) (not (tptp.c1_1 X66)) (not (tptp.c2_1 X66)))))) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X67) (tptp.c3_1 X67) (not (tptp.c2_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X68) (tptp.c3_1 X68) (not (tptp.c1_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X69) (not (tptp.c1_1 X69)) (not (tptp.c3_1 X69)))))) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X70) (not (tptp.c1_1 X70)) (not (tptp.c2_1 X70))))) (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c3_1 X71) (not (tptp.c2_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X72) (not (tptp.c1_1 X72)) (not (tptp.c2_1 X72)))))) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X73) (not (tptp.c1_1 X73)) (not (tptp.c3_1 X73))))) tptp.hskp17 tptp.hskp0) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X74) (not (tptp.c2_1 X74)) (not (tptp.c3_1 X74))))) (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c0_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X76)) (not (tptp.c1_1 X76)) (not (tptp.c3_1 X76)))))) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X77) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77))))) tptp.hskp29 tptp.hskp7) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X78) (not (tptp.c2_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp0 tptp.hskp18) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X79) (tptp.c2_1 X79) (tptp.c3_1 X79)))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c1_1 X80))))) tptp.hskp12) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (tptp.c2_1 X81) (tptp.c3_1 X81)))) tptp.hskp2 tptp.hskp16) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c2_1 X82) (not (tptp.c0_1 X82))))) tptp.hskp19 tptp.hskp17) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (tptp.c2_1 X83) (not (tptp.c3_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X84) (tptp.c3_1 X84) (not (tptp.c1_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c3_1 X85)))))) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (tptp.c2_1 X86) (not (tptp.c3_1 X86))))) (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X87)) (not (tptp.c2_1 X87)) (not (tptp.c3_1 X87))))) tptp.hskp6) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (tptp.c3_1 X88) (not (tptp.c2_1 X88))))) tptp.hskp30 tptp.hskp20) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (not (tptp.c0_1 X89)) (not (tptp.c3_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X90) (not (tptp.c0_1 X90)) (not (tptp.c1_1 X90))))) tptp.hskp7) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X91) (not (tptp.c0_1 X91)) (not (tptp.c3_1 X91))))) tptp.hskp21 tptp.hskp6) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c3_1 X92))))) tptp.hskp3 tptp.hskp15) (or (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp0 tptp.hskp7) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X94) (not (tptp.c2_1 X94)) (not (tptp.c3_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X95) (not (tptp.c1_1 X95)) (not (tptp.c2_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96)) (not (tptp.c3_1 X96)))))) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X97) (not (tptp.c2_1 X97)) (not (tptp.c3_1 X97))))) tptp.hskp22 tptp.hskp7) (or (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X98) (not (tptp.c2_1 X98)) (not (tptp.c3_1 X98))))) tptp.hskp8 tptp.hskp23) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X99) (tptp.c3_1 X99) (not (tptp.c1_1 X99))))) (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X100) (not (tptp.c0_1 X100)) (not (tptp.c1_1 X100))))) tptp.hskp9) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X101) (tptp.c3_1 X101) (not (tptp.c1_1 X101))))) (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X102) (not (tptp.c1_1 X102)) (not (tptp.c2_1 X102))))) (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X103)) (not (tptp.c2_1 X103)) (not (tptp.c3_1 X103)))))) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X104) (tptp.c3_1 X104) (not (tptp.c1_1 X104))))) tptp.hskp15 tptp.hskp24) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X105) (not (tptp.c0_1 X105)) (not (tptp.c1_1 X105))))) tptp.hskp9 tptp.hskp22) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X106) (not (tptp.c0_1 X106)) (not (tptp.c1_1 X106))))) tptp.hskp10 tptp.hskp18) (or (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X107) (not (tptp.c0_1 X107)) (not (tptp.c3_1 X107))))) tptp.hskp1 tptp.hskp3) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c3_1 X108))))) tptp.hskp25 tptp.hskp6) (or (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X109) (not (tptp.c1_1 X109)) (not (tptp.c3_1 X109))))) tptp.hskp17 tptp.hskp13) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X110) (not (tptp.c1_1 X110)) (not (tptp.c3_1 X110))))) tptp.hskp17 tptp.hskp24) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X111) (not (tptp.c1_1 X111)) (not (tptp.c3_1 X111))))) tptp.hskp15 tptp.hskp13) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X112) (not (tptp.c0_1 X112)) (not (tptp.c1_1 X112))))) tptp.hskp12 tptp.hskp11) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c1_1 X113))))) tptp.hskp7 tptp.hskp24) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X114) (not (tptp.c1_1 X114)) (not (tptp.c2_1 X114))))) tptp.hskp27 tptp.hskp19) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X115) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115))))) tptp.hskp22) (or (forall ((X116 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X116) (not (tptp.c1_1 X116)) (not (tptp.c2_1 X116))))) tptp.hskp14 tptp.hskp23) (or (forall ((X117 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X117)) (not (tptp.c1_1 X117)) (not (tptp.c2_1 X117))))) tptp.hskp14 tptp.hskp25) (or (forall ((X118 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c3_1 X118))))) tptp.hskp22 tptp.hskp10) (or (forall ((X119 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X119)) (not (tptp.c1_1 X119)) (not (tptp.c3_1 X119))))) tptp.hskp2 tptp.hskp19) (or (forall ((X120 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X120)) (not (tptp.c2_1 X120)) (not (tptp.c3_1 X120))))) tptp.hskp9 tptp.hskp8) (or (forall ((X121 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X121)) (not (tptp.c2_1 X121)) (not (tptp.c3_1 X121))))) tptp.hskp3 tptp.hskp13) (or tptp.hskp30 tptp.hskp9 tptp.hskp6) (or tptp.hskp27 tptp.hskp3 tptp.hskp15) (or tptp.hskp21 tptp.hskp20 tptp.hskp6) (or tptp.hskp26 tptp.hskp20 tptp.hskp15) (or tptp.hskp12 tptp.hskp19 tptp.hskp13) (or tptp.hskp2 tptp.hskp19 tptp.hskp8)))))) (let ((_let_133 (forall ((W $$unsorted)) (or (tptp.c2_1 W) (not (tptp.c1_1 W)) (not (tptp.c3_1 W)))))) (let ((_let_134 (forall ((X110 $$unsorted)) (or (tptp.c2_1 X110) (not (tptp.c1_1 X110)) (not (tptp.c3_1 X110)))))) (let ((_let_135 (not _let_37))) (let ((_let_136 (not _let_38))) (let ((_let_137 (or _let_35 _let_136 _let_135))) (let ((_let_138 (not _let_137))) (let ((_let_139 (forall ((X82 $$unsorted)) (or (tptp.c1_1 X82) (tptp.c2_1 X82) (not (tptp.c0_1 X82)))))) (let ((_let_140 (forall ((X44 $$unsorted)) (or (tptp.c1_1 X44) (tptp.c2_1 X44) (not (tptp.c0_1 X44)))))) (let ((_let_141 (not _let_28))) (let ((_let_142 (or _let_26 _let_24 _let_141))) (let ((_let_143 (not _let_140))) (let ((_let_144 (not _let_142))) (let ((_let_145 (forall ((X115 $$unsorted)) (or (tptp.c3_1 X115) (not (tptp.c1_1 X115)) (not (tptp.c2_1 X115)))))) (let ((_let_146 (forall ((X24 $$unsorted)) (or (tptp.c3_1 X24) (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24)))))) (let ((_let_147 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_148 (not _let_147))) (let ((_let_149 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_150 (not _let_149))) (let ((_let_151 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_152 (or _let_151 _let_150 _let_148))) (let ((_let_153 (not _let_152))) (let ((_let_154 (not _let_151))) (let ((_let_155 (or _let_150 _let_148 _let_154))) (let ((_let_156 (forall ((X17 $$unsorted)) (or (not (tptp.c1_1 X17)) (not (tptp.c2_1 X17)) (not (tptp.c3_1 X17)))))) (let ((_let_157 (forall ((X103 $$unsorted)) (or (not (tptp.c1_1 X103)) (not (tptp.c2_1 X103)) (not (tptp.c3_1 X103)))))) (let ((_let_158 (forall ((X121 $$unsorted)) (or (not (tptp.c1_1 X121)) 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((or _let_130 _let_488))) :args ((or _let_488 _let_487) true _let_126 true _let_128 false _let_130)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST _let_489 _let_486 _let_482 _let_481 _let_480 _let_333 _let_479 _let_333 _let_478 _let_477 _let_473 _let_470 _let_462 _let_461 :args ((or _let_156 _let_430 _let_443 _let_460) false _let_186 false _let_131 false _let_184 false tptp.hskp0 false tptp.ndr1_0 false _let_183 false tptp.ndr1_0 true tptp.hskp18 true _let_182 true _let_45 true _let_284 false _let_459 false _let_457)))) (let ((_let_491 (not _let_15))) (let ((_let_492 (or _let_13 _let_11 _let_491))) (let ((_let_493 (not _let_492))) (let ((_let_494 (not _let_16))) (let ((_let_495 (REORDERING (CNF_AND_POS :args (_let_16 2)) :args ((or _let_14 _let_494))))) (let ((_let_496 (REORDERING (CNF_AND_POS :args (_let_16 3)) :args ((or _let_12 _let_494))))) (let ((_let_497 (AND_ELIM _let_325 :args (25)))) (let ((_let_498 (REORDERING (AND_ELIM _let_325 :args (91)) :args ((or tptp.hskp6 tptp.hskp25 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((or _let_277 _let_689))))) (let ((_let_700 (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_279 _let_278 _let_276 _let_691))))) (let ((_let_701 (REORDERING (CNF_OR_POS :args (_let_690)) :args ((or _let_279 _let_278 _let_275 (not _let_690)))))) (let ((_let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_511)) :args _let_510)))) (let ((_let_703 (CNF_OR_NEG :args (_let_249 0)))) (let ((_let_704 (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_176 _let_175 _let_248 (not _let_251)))))) (let ((_let_705 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_390 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 Z) true))))) :args _let_388)))) (let ((_let_706 (REORDERING (AND_ELIM _let_325 :args (68)) :args ((or tptp.hskp0 tptp.hskp17 _let_334 _let_191))))) (let ((_let_707 (REORDERING (AND_ELIM _let_325 :args (74)) :args ((or tptp.hskp17 tptp.hskp19 _let_334 _let_139))))) (let ((_let_708 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_140 (= X44 X82)))))) (let ((_let_709 (_let_140))) (let ((_let_710 ((not (= (tptp.c1_1 X44) true))))) (let ((_let_711 (ASSUME :args _let_709))) (let ((_let_712 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (tptp.a142 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_710)) :args _let_709)))) (let ((_let_713 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_476 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_475)) :args _let_474)))) (let ((_let_714 (not _let_181))) (let ((_let_715 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_68 _let_179 _let_180 _let_714))) _let_469 _let_466 _let_465 :args ((or _let_443 _let_714 _let_463) true _let_180 true _let_68 false _let_71)))) (let ((_let_716 (REORDERING (AND_ELIM _let_325 :args (109)) :args ((or tptp.hskp12 tptp.hskp13 tptp.hskp19))))) (let ((_let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (tptp.a136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_604)) :args _let_603)))) (let ((_let_718 (not _let_238))) (let ((_let_719 (not _let_244))) (let ((_let_720 (not _let_3))) (let ((_let_721 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_238)) :args ((or _let_237 _let_236 _let_235 _let_718))) (REORDERING (CNF_OR_POS :args (_let_244)) :args ((or _let_237 _let_236 _let_234 _let_719))) (REORDERING (CNF_AND_POS :args (_let_3 2)) :args ((or _let_1 _let_720))) (REORDERING (CNF_AND_POS :args (_let_3 1)) :args ((or _let_2 _let_720))) :args ((or _let_720 _let_719 _let_718) false _let_234 false _let_1 false _let_2)))) (let ((_let_722 (AND_ELIM _let_325 :args (29)))) (let ((_let_723 (REORDERING (AND_ELIM _let_325 :args (70)) :args ((or tptp.hskp7 tptp.hskp29 _let_334 _let_274))))) (let ((_let_724 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_725 (not _let_724))) (let ((_let_726 (or _let_289 _let_286 _let_725))) (let ((_let_727 (or _let_287 _let_289 _let_725))) (let ((_let_728 (not _let_290))) (let ((_let_729 (not _let_218))) (let ((_let_730 (_let_729))) (let ((_let_731 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_730)) :args _let_730)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_729) _let_218))) (REFL :args ((not _let_726))) :args _let_194)))) (let ((_let_732 (CNF_OR_NEG :args (_let_726 0)))) (let ((_let_733 (REFL :args (_let_726)))) (let ((_let_734 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_726 1)) (CONG _let_733 (MACRO_SR_PRED_INTRO :args ((= (not _let_286) _let_285))) :args _let_194)) :args ((or _let_285 _let_726))))) (let ((_let_735 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_726 2)) (CONG _let_733 (MACRO_SR_PRED_INTRO :args ((= (not _let_725) _let_724))) :args _let_194)) :args ((or _let_724 _let_726))))) (let ((_let_736 ((not (= (tptp.c1_1 X22) true))))) (let ((_let_737 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_727)) :args ((or _let_289 _let_725 _let_287 (not _let_727)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_380)) (REORDERING (CNF_OR_POS :args (_let_290)) :args ((or _let_289 _let_286 _let_288 _let_728))) _let_384 _let_735 _let_734 _let_732 _let_391 _let_333 _let_731 :args ((or _let_173 _let_218 _let_728) false _let_727 true _let_287 false _let_361 false _let_724 false _let_285 true _let_289 false _let_364 false tptp.ndr1_0 true _let_726)))) (let ((_let_738 (AND_ELIM _let_325 :args (7)))) (let ((_let_739 ((not (= (tptp.c2_1 X26) true))))) (let ((_let_740 (not _let_102))) (let ((_let_741 (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_101 _let_740))))) (let ((_let_742 (REORDERING (CNF_AND_POS :args (_let_102 3)) :args ((or _let_98 _let_740))))) (let ((_let_743 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_268)) :args ((or _let_97 _let_265 _let_267 (not _let_268)))) (REORDERING (CNF_OR_POS :args (_let_291)) :args ((or _let_97 _let_265 _let_266 (not _let_291)))) _let_742 _let_741 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.a132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_739)) :args _let_385)) _let_738 _let_737 _let_723 _let_333 _let_396 _let_722 _let_406 _let_721 _let_410 _let_717 _let_716 _let_602 _let_592 _let_715 _let_713 _let_477 _let_479 _let_333 _let_481 _let_486 _let_712 _let_489 _let_708 _let_482 _let_707 _let_333 _let_706 _let_333 _let_411 _let_409 _let_400 (MACRO_RESOLUTION_TRUST _let_392 _let_333 _let_705 _let_366 _let_704 _let_445 _let_703 _let_529 _let_514 _let_702 _let_701 _let_524 _let_523 _let_700 _let_521 _let_699 _let_698 (MACRO_RESOLUTION_TRUST _let_602 _let_592 _let_606 _let_470 _let_609 _let_477 _let_610 _let_479 _let_333 _let_611 _let_333 _let_481 (MACRO_RESOLUTION_TRUST _let_551 _let_546 _let_570 _let_543 _let_571 _let_333 _let_537 _let_574 _let_455 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X24) false))))) :args _let_575)) _let_668 _let_480 _let_333 (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_262 _let_261 _let_696 (not _let_697)))) _let_669 _let_482 (REORDERING (CNF_OR_POS :args (_let_695)) :args ((or _let_263 _let_261 _let_694 (not _let_695)))) _let_670 _let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_671 _let_486 :args ((or tptp.hskp18 _let_93 _let_91 _let_256 _let_253 _let_252 (not _let_184) _let_263 _let_262 _let_261) true _let_438 false _let_439 false _let_269 false _let_558 false tptp.ndr1_0 false _let_272 true _let_560 false _let_166 true _let_146 true _let_440 false _let_430 false tptp.ndr1_0 true _let_697 true _let_637 true tptp.hskp0 false _let_694 false _let_635 true _let_131 false _let_695 false _let_638 false _let_186)) _let_478 _let_473 _let_462 _let_461 :args ((or _let_93 _let_91 _let_322 _let_156 _let_256 _let_253 _let_252 _let_460 _let_263 _let_262 _let_261) true tptp.hskp12 true _let_243 true _let_72 true _let_311 false _let_284 false _let_114 false _let_182 false tptp.ndr1_0 false tptp.hskp4 false tptp.ndr1_0 true _let_183 true _let_184 true tptp.hskp18 true _let_45 false _let_459 false _let_457)) _let_693 _let_612 :args ((or _let_93 _let_91 _let_239 _let_156 _let_256 _let_253 _let_252 _let_263 _let_262 _let_261 _let_691) false tptp.ndr1_0 true _let_250 true _let_352 true _let_251 true _let_303 true _let_248 true _let_249 true _let_246 true _let_219 true _let_690 false _let_174 true _let_176 true _let_275 true _let_178 false _let_277 true _let_279 true _let_173 true _let_689 true _let_322)) _let_688 _let_687 _let_686 _let_537 _let_682 _let_543 _let_681 (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_254 _let_252 _let_270 (not _let_271)))) _let_679 _let_678 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_677 :args (tptp.a133 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_676)) :args _let_675)) _let_674 _let_673 _let_333 _let_332 _let_672 _let_348 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_347 :args (tptp.a132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_346)) :args _let_345)) (MACRO_RESOLUTION_TRUST _let_602 _let_592 _let_606 _let_470 _let_609 _let_477 _let_610 _let_479 _let_333 _let_611 _let_333 _let_481 _let_671 _let_670 _let_669 _let_668 (MACRO_RESOLUTION_TRUST _let_481 _let_486 _let_479 _let_333 _let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_476 :args (tptp.a170 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_475)) :args _let_474)) _let_482 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_664)) :args ((or _let_30 _let_663 _let_662 _let_666))) (REORDERING (CNF_AND_POS :args (_let_34 3)) :args ((or _let_31 _let_667))) (REORDERING (CNF_AND_POS :args (_let_34 2)) :args ((or _let_32 _let_667))) (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_33 _let_667))) :args ((or _let_667 _let_666) true _let_30 false _let_32 false _let_33)) _let_480 _let_333 (AND_ELIM _let_325 :args (21)) _let_455 (REORDERING (AND_ELIM _let_325 :args (79)) :args ((or tptp.hskp6 tptp.hskp21 _let_334 _let_661))) _let_333 _let_537 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_640 (= X29 X91)))) _let_543 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_644 :args (tptp.a143 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_643)) :args _let_642)) _let_546 (REORDERING (CNF_OR_POS :args (_let_660)) :args ((or _let_63 _let_220 _let_659 (not _let_660)))) _let_551 (REORDERING (CNF_OR_POS :args (_let_658)) :args ((or _let_63 _let_220 _let_657 (not _let_658)))) _let_570 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (tptp.a143 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_380)) _let_571 _let_333 (AND_ELIM _let_325 :args (43)) _let_333 _let_574 _let_578 _let_579 (REORDERING (CNF_OR_POS :args (_let_633)) :args ((or _let_555 _let_554 _let_561 _let_665))) _let_568 _let_569 _let_567 :args ((or tptp.hskp6 tptp.hskp18 _let_63 _let_156 _let_634 _let_440 _let_220 _let_253 _let_252 _let_665) true _let_184 false _let_183 false tptp.ndr1_0 true _let_186 true _let_182 false _let_131 true _let_664 false tptp.hskp0 false tptp.ndr1_0 false _let_34 true _let_430 false tptp.hskp21 false tptp.ndr1_0 true _let_166 true _let_661 true _let_272 true _let_640 true _let_269 true _let_660 false _let_438 false _let_657 false _let_439 false _let_658 false _let_558 false tptp.ndr1_0 false _let_361 false tptp.ndr1_0 true _let_560 true _let_146 true _let_564 false _let_561 false _let_553 true _let_555 true _let_557)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= Y X23)))) _let_612 _let_656 _let_405 _let_404 _let_410 _let_655 _let_333 _let_654 _let_478 _let_653 _let_473 _let_499 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_512 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X7) true))))) :args _let_510)) _let_647 _let_462 _let_461 _let_502 _let_513 _let_521 _let_417 _let_416 _let_516 _let_333 _let_646 _let_412 _let_349 _let_444 _let_193 :args ((or _let_93 _let_91 _let_133 _let_156 _let_259 _let_256 _let_253 _let_252) true tptp.hskp12 true _let_243 true _let_72 true _let_311 false _let_284 false _let_114 false _let_182 false tptp.ndr1_0 false tptp.hskp4 false tptp.ndr1_0 true _let_183 true _let_184 true _let_638 true _let_635 false _let_637 false _let_440 true _let_634 true _let_322 true _let_239 true _let_63 false _let_65 false _let_67 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp3 true tptp.hskp18 true _let_120 true _let_45 true tptp.hskp6 false _let_633 false _let_224 false _let_459 false _let_457 true _let_109 false _let_219 false _let_173 false _let_308 false _let_304 false _let_428 false tptp.ndr1_0 false _let_178 false _let_303 true _let_134 true _let_418 true _let_158)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_264 2)) (CONG (REFL :args (_let_264)) (MACRO_SR_PRED_INTRO :args ((= (not _let_261) _let_260))) :args _let_194)) :args ((or _let_260 _let_264))) (CNF_OR_NEG :args (_let_264 1)) (CNF_OR_NEG :args (_let_264 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_632)) :args _let_632)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_631) _let_258))) (REFL :args ((not _let_264))) :args _let_194)) _let_530 _let_630 _let_629 _let_627 _let_626 _let_625 _let_331 (MACRO_RESOLUTION_TRUST _let_552 _let_617 _let_616 _let_333 _let_624 _let_411 _let_622 _let_621 _let_409 _let_620 _let_400 _let_612 _let_611 _let_333 _let_610 _let_609 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (tptp.a189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) (REORDERING (CNF_OR_POS :args (_let_321)) :args ((or _let_13 _let_11 _let_320 (not _let_321)))) (REORDERING (CNF_OR_POS :args (_let_306)) :args ((or _let_13 _let_11 _let_305 (not _let_306)))) _let_496 _let_495 _let_497 _let_498 _let_333 _let_504 _let_508 _let_509 (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_313 _let_312 _let_314 (not _let_315)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (tptp.a138 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X9) false))))) :args _let_603)) _let_606 _let_602 _let_499 _let_592 _let_502 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_591 :args (tptp.a182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_590)) :args _let_589)) (MACRO_RESOLUTION_TRUST _let_588 _let_586 _let_585 _let_584 :args ((or _let_583 _let_582 _let_581) false _let_307 true _let_17 true _let_21)) _let_580 _let_552 _let_551 _let_547 _let_333 _let_546 _let_545 _let_544 _let_543 _let_542 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_539)) :args _let_539)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_538) _let_351))) (REFL :args ((not _let_434))) :args _let_194)) _let_537 _let_536 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_433)) :args ((or _let_425 _let_432 _let_431 _let_535))) (REORDERING (CNF_OR_POS :args (_let_426)) :args ((or _let_425 _let_424 _let_423 _let_534))) (CNF_OR_NEG :args (_let_434 2)) (CNF_OR_NEG :args (_let_434 1)) (CNF_OR_NEG :args (_let_434 0)) :args ((or 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_let_447 _let_449 (not _let_451)))) (REORDERING (CNF_OR_POS :args (_let_450)) :args ((or _let_420 _let_447 _let_449 (not _let_450)))) (REORDERING (CNF_OR_POS :args (_let_422)) :args ((or _let_421 _let_420 _let_419 _let_452))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_448 2)) (CONG (REFL :args (_let_448)) (MACRO_SR_PRED_INTRO :args ((= (not _let_447) _let_446))) :args _let_194)) :args ((or _let_446 _let_448))) (CNF_OR_NEG :args (_let_448 1)) (CNF_OR_NEG :args (_let_448 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_454)) :args _let_454)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_453) _let_361))) (REFL :args ((not _let_448))) :args _let_194)) _let_384 :args ((or _let_156 _let_361 _let_443 _let_452) true _let_430 false _let_173 false tptp.ndr1_0 true _let_166 true _let_218 true _let_451 true _let_450 false _let_419 false _let_446 true _let_420 true _let_421 true _let_448 true _let_364)) _let_445 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args 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_let_302 false tptp.ndr1_0 true _let_418)) _let_417 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_414)) :args _let_413)) _let_416 _let_412 _let_349 _let_348 _let_344 _let_343 _let_342 _let_341 _let_339 _let_338 _let_337 _let_336 _let_332 _let_335 _let_333 _let_326 _let_324 :args ((or tptp.hskp2 tptp.hskp8 _let_156 _let_253 _let_252) true _let_23 false tptp.hskp24 false tptp.ndr1_0 false _let_19 true tptp.hskp17 true _let_307 true _let_21 true _let_51 true _let_323 false _let_282 false _let_239 false _let_322 false tptp.ndr1_0 true tptp.hskp4 true _let_114 true _let_184 true _let_321 false _let_305 true _let_11 true _let_13 false _let_16 false tptp.hskp25 false tptp.ndr1_0 true _let_319 true _let_318 true _let_317 false _let_314 false _let_315 false _let_311 false _let_243 true tptp.hskp6 true tptp.hskp12 true _let_109 true _let_72 false _let_308 false _let_306 false _let_304 false _let_303 true _let_134 true _let_133 true _let_137 true _let_86 false _let_88 false _let_89 true _let_35 false _let_37 false _let_38 false _let_90 false _let_39 false tptp.hskp9 false tptp.ndr1_0 false tptp.hskp19 true _let_302)) _let_201 _let_199 _let_197 _let_301 _let_297 _let_295 _let_294 _let_293 :args ((or tptp.hskp2 _let_292) false _let_266 true _let_97 false _let_101 false _let_291 false _let_102 false _let_173 false tptp.hskp7 false tptp.ndr1_0 true _let_218 true tptp.hskp29 true _let_222 true _let_3 false _let_67 false _let_244 false tptp.hskp13 false _let_243 true tptp.hskp12 true _let_72 false _let_290 false _let_284 false _let_182 false tptp.ndr1_0 true _let_183 true _let_184 false _let_181 true _let_186 false _let_140 false _let_131 false _let_139 false tptp.ndr1_0 false tptp.hskp0 false tptp.ndr1_0 true tptp.hskp17 true _let_51 false _let_282 false _let_239 false _let_280 true _let_274 true _let_191 true _let_166 true _let_273 true _let_272 true _let_202 true _let_269 false _let_209 false _let_238 false _let_271 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_137 false _let_268 false _let_133 false _let_260 true _let_262 true _let_263 true _let_264 true _let_259 true _let_258 true _let_257 true _let_91 true _let_93 false _let_95 false _let_96 false tptp.hskp8 false _let_159 false _let_163 true _let_165 true _let_156 true _let_255 false _let_4 false _let_5 false _let_6)))) (let ((_let_744 (AND_ELIM _let_325 :args (28)))) (let ((_let_745 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_746 (not _let_745))) (let ((_let_747 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_748 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_749 (or _let_748 _let_747 _let_746))) (let ((_let_750 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_751 (not _let_750))) (let ((_let_752 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_753 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_754 (or _let_753 _let_752 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:args _let_194)) _let_838 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_749)) :args ((or _let_748 _let_747 _let_746 _let_836))) (REORDERING (CNF_OR_POS :args (_let_772)) :args ((or _let_748 _let_747 _let_745 _let_835))) (CNF_OR_NEG :args (_let_774 1)) (CNF_OR_NEG :args (_let_774 0)) :args ((or _let_774 _let_836 _let_835) false _let_745 true _let_747 true _let_748)) _let_738 _let_834 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_599 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_598)) :args _let_597)) _let_798 _let_833 _let_796 _let_832 _let_333 _let_795 _let_411 _let_805 _let_792 _let_409 _let_831 _let_615 _let_790 _let_400 _let_828 (MACRO_RESOLUTION_TRUST _let_796 _let_798 _let_827 _let_738 _let_826 _let_333 (REORDERING (AND_ELIM _let_325 :args (49)) :args ((or tptp.hskp7 tptp.hskp29 _let_334 _let_817))) _let_333 _let_722 _let_721 _let_678 _let_674 _let_673 _let_333 _let_332 _let_672 _let_348 (MACRO_RESOLUTION_TRUST _let_825 _let_580 _let_824 _let_331 _let_823 _let_629 _let_405 _let_404 _let_403 _let_630 _let_410 _let_530 (REORDERING (AND_ELIM _let_325 :args (94)) :args ((or tptp.hskp13 tptp.hskp15 _let_334 _let_820))) _let_333 _let_516 _let_333 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_133 (= W X111)))) _let_444 :args ((or tptp.hskp15 _let_133 _let_440 _let_428 _let_822) false _let_439 true _let_821 true tptp.hskp8 false _let_657 true _let_96 true _let_63 false _let_65 false _let_66 false _let_257 false _let_67 false _let_258 false tptp.hskp13 false tptp.ndr1_0 false _let_259 false tptp.ndr1_0 true _let_820 true _let_418)) _let_545 _let_542 _let_536 _let_455 _let_480 _let_333 _let_482 _let_489 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_559 (= X33 X35)))) _let_819 _let_486 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_573 :args (tptp.a127 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X33) true))))) :args _let_572)) _let_804 _let_611 _let_333 _let_513 _let_818 (REORDERING (CNF_OR_POS :args (_let_815)) :args ((or _let_117 _let_115 _let_782 (not _let_815)))) _let_803 _let_610 _let_647 _let_802 _let_609 _let_653 _let_652 _let_651 _let_650 _let_717 _let_606 _let_789 _let_654 _let_811 _let_801 _let_333 _let_810 _let_333 _let_800 _let_809 _let_612 _let_744 _let_743 :args ((or tptp.hskp2 tptp.hskp18 _let_239) true _let_771 false _let_250 false _let_102 false _let_247 false tptp.ndr1_0 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp29 true _let_3 false _let_238 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_137 false _let_133 true tptp.hskp15 true _let_62 false _let_437 false _let_166 false _let_430 false tptp.ndr1_0 true tptp.hskp0 true _let_131 true _let_817 false _let_816 false _let_186 true _let_559 true _let_440 false _let_184 false tptp.ndr1_0 true _let_428 true _let_245 true _let_815 true _let_785 true tptp.hskp4 true _let_219 true _let_782 true _let_114 true _let_224 true _let_115 true _let_117 false _let_119 false _let_244 false _let_311 false _let_784 false _let_120 false _let_243 false tptp.hskp3 false tptp.ndr1_0 false _let_242 false tptp.ndr1_0 true _let_241 true _let_240 true _let_322 true tptp.hskp28 true _let_7)) _let_814 _let_812 (MACRO_RESOLUTION_TRUST _let_629 _let_630 _let_331 _let_530 _let_580 _let_516 _let_333 _let_804 _let_513 _let_803 _let_647 _let_802 _let_653 _let_652 _let_650 _let_789 _let_654 _let_811 _let_801 _let_333 _let_810 _let_333 _let_800 _let_809 _let_656 _let_417 _let_412 _let_349 _let_444 _let_348 _let_672 _let_332 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)) _let_673 _let_333 (REORDERING (CNF_OR_POS :args (_let_781)) :args ((or _let_286 _let_725 _let_288 (not _let_781)))) _let_674 (REORDERING (CNF_OR_POS :args (_let_780)) :args ((or _let_289 _let_286 _let_287 (not _let_780)))) _let_679 _let_735 _let_734 _let_732 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X13) true))))) :args _let_483)) _let_681 _let_731 _let_481 _let_232 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (tptp.a142 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_394)) :args _let_393)) _let_479 _let_333 _let_229 (REORDERING (CNF_OR_POS :args (_let_779)) :args ((or _let_68 _let_456 _let_283 (not _let_779)))) _let_477 _let_455 _let_468 _let_470 _let_490 _let_466 _let_467 _let_592 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_786)) :args ((or _let_53 _let_755 _let_756 (not _let_786)))) (REORDERING (CNF_OR_POS :args (_let_787)) :args ((or _let_53 _let_755 _let_757 (not _let_787)))) _let_808 _let_807 _let_805 (AND_ELIM _let_325 :args (64)) _let_333 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_440 (= X59 X62)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.a154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_230)) :args _let_226)) _let_804 _let_455 _let_803 _let_480 _let_333 _let_802 _let_482 _let_652 _let_650 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_390 :args (tptp.a154 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_389)) :args _let_388)) _let_489 _let_654 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_250 (= Z X42)))) _let_486 _let_801 _let_333 (AND_ELIM _let_325 :args (53)) _let_333 _let_611 _let_333 _let_800 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= Y X41)))) _let_612 (MACRO_RESOLUTION_TRUST _let_417 _let_656 _let_412 _let_349 _let_348 _let_672 _let_332 _let_673 _let_333 _let_674 _let_799 _let_738 _let_798 _let_796 _let_795 _let_792 _let_790 :args ((or tptp.hskp2 _let_614 _let_164 _let_162 _let_160 _let_788 _let_719) true _let_308 false _let_303 true _let_134 true _let_133 true _let_137 false _let_39 false tptp.hskp19 false tptp.ndr1_0 true _let_233 true _let_212 true tptp.hskp7 true _let_102 false _let_771 false _let_250 false _let_769 false _let_768)) _let_610 _let_609 _let_717 _let_606 _let_789 _let_602 _let_744 _let_743 :args ((or tptp.hskp2 tptp.hskp12 tptp.hskp18 _let_778 _let_164 _let_162 _let_160 _let_788) true _let_756 true _let_53 false _let_55 false _let_57 false tptp.hskp16 false tptp.ndr1_0 true (forall ((X62 $$unsorted)) (or (tptp.c0_1 X62) (tptp.c3_1 X62) (not (tptp.c1_1 X62)))) false _let_787 true _let_440 false _let_166 true _let_785 false _let_430 false tptp.ndr1_0 true _let_782 true tptp.hskp0 true _let_115 false _let_119 false _let_786 true _let_131 false _let_120 false _let_250 false _let_186 false tptp.hskp3 false tptp.ndr1_0 false (forall ((X42 $$unsorted)) (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42)))) false tptp.ndr1_0 false _let_184 false tptp.ndr1_0 true _let_241 true (forall ((X41 $$unsorted)) (or (tptp.c0_1 X41) (tptp.c2_1 X41) (not (tptp.c1_1 X41)))) true _let_322 true _let_239 true tptp.hskp4 true _let_114 false _let_244 false _let_311 false _let_784 false _let_243 true tptp.hskp28 true _let_7)) _let_201 _let_200 _let_199 _let_197 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= X17 X63)))) _let_777 _let_478 _let_473 _let_462 _let_461 _let_744 _let_743 :args ((or tptp.hskp2 _let_156 _let_460) false _let_257 false _let_96 false _let_258 false tptp.hskp8 false _let_259 false tptp.ndr1_0 true _let_440 true _let_428 true _let_785 true _let_219 true _let_782 true _let_224 true _let_115 false _let_119 false _let_784 false _let_120 false _let_243 false tptp.hskp3 false tptp.ndr1_0 false _let_242 false tptp.ndr1_0 true _let_241 true _let_240 true _let_239 false _let_308 false _let_303 true _let_134 true _let_418 true _let_133 true _let_137 false _let_39 true _let_439 false tptp.hskp19 false tptp.ndr1_0 true _let_781 true _let_233 false _let_287 true _let_212 false _let_724 false _let_285 true _let_289 false _let_780 true _let_209 true _let_726 false _let_184 false _let_202 true _let_218 false _let_183 false tptp.ndr1_0 false _let_203 true _let_779 true _let_182 false _let_166 false _let_180 true _let_284 false _let_430 true _let_68 false _let_70 false _let_72 false tptp.hskp12 false _let_159 false _let_161 false _let_163 true _let_165 true _let_778 false _let_754 true tptp.hskp18 true _let_45 false _let_459 false _let_457 true tptp.hskp28 true _let_7)) _let_478 _let_473 _let_462 _let_777 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_386)) :args _let_385)) :args ((or tptp.hskp2 _let_460) true _let_24 true _let_26 false _let_28 false _let_29 false tptp.hskp22 false tptp.ndr1_0 true _let_776 true _let_218 true _let_775 false _let_10 false tptp.hskp27 true tptp.hskp3 true _let_120 false _let_224 false _let_219 false _let_429 false tptp.ndr1_0 true tptp.hskp15 true _let_62 false _let_437 false _let_166 false _let_274 false tptp.ndr1_0 true tptp.hskp29 true _let_3 false _let_238 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_244 false _let_137 false _let_243 false _let_133 false (forall ((X113 $$unsorted)) (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c1_1 X113)))) false tptp.ndr1_0 false _let_134 false tptp.ndr1_0 false _let_142 true tptp.hskp24 false _let_140 true _let_23 false _let_774 true tptp.hskp7 false _let_773 false _let_772 true _let_102 false _let_595 false _let_771 false _let_770 false tptp.ndr1_0 false _let_250 true tptp.hskp17 true tptp.hskp16 false _let_769 true _let_51 true _let_57 false _let_613 false _let_768 false _let_282 false _let_765 false _let_239 false _let_764 false _let_759 false _let_156 true tptp.hskp18 true _let_45 false _let_459 false _let_754 false _let_749)))) (let ((_let_856 (or _let_189 _let_170 _let_168))) (let ((_let_857 (or _let_187 _let_170 _let_168))) (let ((_let_858 (or _let_171 _let_187 _let_168))) (let ((_let_859 (or _let_248 _let_177 _let_175))) (let ((_let_860 (_let_225))) (let ((_let_861 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_860)) :args _let_860)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_225) _let_166))) (REFL :args ((not _let_172))) :args _let_194)))) (let ((_let_862 (CNF_OR_NEG :args (_let_172 0)))) (let ((_let_863 (REFL :args (_let_172)))) (let ((_let_864 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_172 1)) (CONG _let_863 (MACRO_SR_PRED_INTRO :args ((= (not _let_170) _let_169))) :args _let_194)) :args ((or _let_169 _let_172))))) (let ((_let_865 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_172 2)) (CONG _let_863 (MACRO_SR_PRED_INTRO :args ((= (not _let_168) _let_167))) :args _let_194)) :args ((or _let_167 _let_172))))) (let ((_let_866 (MACRO_RESOLUTION_TRUST _let_410 _let_406 _let_716 _let_396 _let_592 _let_737 _let_715 _let_713 _let_477 _let_332 _let_672 _let_348 _let_646 _let_521 :args ((or _let_173 (not _let_182) _let_714) true _let_67 false tptp.hskp13 false _let_222 true tptp.hskp12 false _let_218 true _let_72 false _let_290 false _let_284 true tptp.hskp19 true _let_39 false _let_137 false _let_133 true _let_178)))) (let ((_let_867 (not _let_856))) (let ((_let_868 (not _let_857))) (let ((_let_869 (REORDERING (CNF_OR_POS :args (_let_856)) :args ((or _let_170 _let_168 _let_189 _let_867))))) (let ((_let_870 (MACRO_RESOLUTION_TRUST _let_330 (MACRO_RESOLUTION_TRUST _let_704 _let_705 _let_703 _let_827 _let_529 _let_826 _let_333 _let_514 _let_818 _let_722 _let_647 _let_721 _let_653 _let_717 _let_654 _let_811 _let_801 _let_333 _let_810 _let_333 _let_800 _let_809 (MACRO_RESOLUTION_TRUST _let_384 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_381)) :args _let_380)) _let_391 _let_333 (REORDERING (CNF_OR_POS :args (_let_858)) :args ((or _let_171 _let_168 _let_187 (not _let_858)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_395 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_847)) :args _let_393)) _let_869 (MACRO_RESOLUTION_TRUST _let_869 (REORDERING (CNF_OR_POS :args (_let_857)) :args ((or _let_170 _let_168 _let_187 _let_868))) :args ((or _let_170 _let_168 _let_868 _let_867) false _let_187)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_300 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_813)) :args _let_298)) (MACRO_RESOLUTION_TRUST _let_706 _let_333 _let_482 _let_686 _let_489 _let_682 _let_486 _let_681 _let_481 _let_201 _let_199 _let_479 _let_333 _let_197 :args ((or tptp.hskp17 _let_182 _let_156 _let_680) false tptp.ndr1_0 true tptp.hskp0 true _let_191 true _let_131 true _let_273 false _let_186 true _let_202 false _let_184 false _let_159 false _let_163 false _let_183 false tptp.ndr1_0 true _let_165)) _let_866 _let_865 _let_864 _let_862 _let_861 (MACRO_RESOLUTION_TRUST _let_681 _let_232 _let_201 _let_200 _let_199 _let_197 (MACRO_RESOLUTION_TRUST _let_384 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_382 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_736)) :args _let_380)) _let_391 _let_333 (REORDERING (CNF_OR_POS :args (_let_859)) :args ((or _let_177 _let_175 _let_248 (not _let_859)))) _let_848 _let_641 _let_846 _let_645 _let_842 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_640 (= X29 X92)))) _let_841 (AND_ELIM _let_325 :args (80)) _let_333 _let_654 _let_653 _let_647 _let_515 _let_547 _let_333 _let_552 _let_838 _let_834 _let_833 _let_832 _let_333 _let_805 _let_831 _let_814 _let_812 _let_522 _let_524 _let_521 _let_855 :args ((or tptp.hskp2 tptp.hskp15 _let_195 _let_829 _let_618) true _let_361 false _let_364 false tptp.ndr1_0 true _let_859 true _let_218 true _let_248 true _let_775 false _let_639 false _let_10 false _let_640 false tptp.hskp27 false (forall ((X92 $$unsorted)) (or (tptp.c1_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c3_1 X92)))) false tptp.ndr1_0 true tptp.hskp3 true _let_120 false _let_224 false _let_219 false _let_429 false tptp.ndr1_0 true tptp.hskp24 true _let_23 false _let_773 false _let_595 false _let_770 false tptp.ndr1_0 true tptp.hskp16 true _let_57 false _let_764 false _let_759 true _let_177 false _let_174 true _let_178 true _let_173)) _let_545 _let_542 _let_229 _let_536 _let_679 _let_674 _let_673 _let_333 _let_332 _let_672 _let_348 _let_646 _let_521 _let_855 :args ((or tptp.hskp2 _let_225 _let_829 _let_618) false _let_202 false _let_159 false _let_161 false _let_163 true _let_165 true _let_156 true tptp.hskp15 true _let_62 false _let_203 false _let_437 false _let_209 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_137 false _let_133 true _let_178 true _let_173)) _let_712 _let_708 _let_707 _let_333 _let_411 _let_409 _let_615 _let_400 _let_828 _let_679 _let_674 _let_673 _let_333 _let_332 _let_672 _let_348 _let_646 _let_521 _let_855 :args ((or tptp.hskp2 _let_614) true _let_361 false _let_364 false tptp.ndr1_0 true _let_858 true _let_218 true _let_187 true _let_857 false _let_856 false _let_156 true _let_182 false _let_167 false _let_169 true _let_171 true _let_172 true _let_166 false _let_181 false _let_140 false _let_139 false tptp.ndr1_0 true tptp.hskp17 true _let_51 false _let_613 false _let_282 false _let_765 false _let_209 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_137 false _let_133 true _let_178 true _let_173)) _let_678 _let_674 _let_673 _let_333 _let_332 _let_672 _let_348 _let_646 _let_524 _let_523 _let_521 _let_855 _let_744 _let_743 :args (tptp.hskp2 false _let_251 true _let_248 false _let_250 true _let_249 false _let_247 false tptp.ndr1_0 true _let_246 true _let_245 true tptp.hskp29 true _let_219 true _let_3 true _let_224 false _let_244 false _let_120 false _let_243 false tptp.hskp3 false tptp.ndr1_0 false _let_242 false tptp.ndr1_0 true _let_241 true _let_240 true _let_239 false _let_238 false _let_212 false _let_233 false tptp.ndr1_0 true tptp.hskp19 true _let_39 false _let_137 false _let_133 false _let_174 true _let_176 true _let_178 true _let_173 true tptp.hskp28 true _let_7)) :args (_let_125 false tptp.hskp2)))) (let ((_let_871 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 3)) :args ((or _let_122 _let_327))) _let_870 :args (_let_122 false _let_125)))) (let ((_let_872 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_123 _let_327))) _let_870 :args (_let_123 false _let_125)))) (let ((_let_873 (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_121 _let_206 _let_205 (not _let_207)))))) (let ((_let_874 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_124 _let_327))) _let_870 :args (_let_124 false _let_125)))) (let ((_let_875 (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_210 _let_206 _let_204 (not _let_211)))))) (let ((_let_876 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (tptp.a125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_576)) :args _let_575)))) (let ((_let_877 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X76 X96)))))) (let ((_let_878 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X24 X95)))))) (let ((_let_879 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X24 X102)))))) (let ((_let_880 (AND_ELIM _let_325 :args (82)))) (let ((_let_881 (AND_ELIM _let_325 :args (86)))) (let ((_let_882 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_218 (= X27 X94)))))) (let ((_let_883 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X7 X101)))))) (let ((_let_884 (MACRO_RESOLUTION_TRUST _let_655 _let_333 _let_654 _let_410 _let_653 _let_406 _let_647 _let_396 _let_883 _let_882 _let_881 _let_333 _let_880 _let_333 _let_879 _let_878 _let_877 _let_876 _let_679 _let_875 _let_874 _let_872 _let_681 _let_873 _let_872 _let_871 _let_232 _let_231 _let_229 :args ((or _let_157 _let_158 _let_225 _let_164 _let_162 _let_160) false tptp.ndr1_0 true tptp.hskp3 true tptp.hskp13 true _let_120 true _let_67 false _let_224 false _let_222 false _let_219 false _let_218 false _let_217 false tptp.ndr1_0 false _let_216 false tptp.ndr1_0 true _let_215 true _let_214 true _let_213 true _let_146 true _let_212 true _let_211 false _let_124 false _let_123 true _let_209 true _let_204 false _let_123 true _let_121 false _let_202 false _let_207 false _let_203)))) (let ((_let_885 (tptp.c1_1 tptp.a140))) (let ((_let_886 (not _let_885))) (let ((_let_887 (not _let_84))) (let ((_let_888 (or _let_80 _let_887 _let_886))) (let ((_let_889 (forall ((X118 $$unsorted)) (or (not (tptp.c0_1 X118)) (not (tptp.c1_1 X118)) (not (tptp.c3_1 X118)))))) (let ((_let_890 (or _let_885 _let_82 _let_887))) (let ((_let_891 (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (tptp.c2_1 X43) (not (tptp.c1_1 X43)))))) (let ((_let_892 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_300 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_299)) :args _let_298)))) (let ((_let_893 (or (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29) _let_150 _let_148))) (let ((_let_894 (forall ((X51 $$unsorted)) (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51)))))) (let ((_let_895 (not _let_893))) (let ((_let_896 (or _let_121 _let_210 _let_206))) (let ((_let_897 (not _let_894))) (let ((_let_898 (not _let_896))) (let ((_let_899 (_let_894))) (let ((_let_900 (_let_897))) (let ((_let_901 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_900)) :args _let_900)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_897) _let_894))) (REFL :args (_let_895)) :args _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_899) :args (tptp.a125 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X51) true))))) :args _let_899)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_896)) :args ((or _let_121 _let_210 _let_206 _let_898))) _let_871 _let_874 _let_872 :args (_let_898 true _let_121 false _let_124 false _let_123)) :args (_let_897 true _let_896)) :args (_let_895 true _let_894)))) (let ((_let_902 (REFL :args (_let_893)))) (let ((_let_903 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_893 1)) (CONG _let_902 (MACRO_SR_PRED_INTRO :args ((= (not _let_150) _let_149))) :args _let_194)) :args ((or _let_149 _let_893))) _let_901 :args (_let_149 true _let_893)))) (let ((_let_904 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_893 2)) (CONG _let_902 (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_147))) :args _let_194)) :args ((or _let_147 _let_893))) _let_901 :args (_let_147 true _let_893)))) (let ((_let_905 (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_150 _let_148 _let_154 (not _let_155)))))) (let ((_let_906 (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_150 _let_148 _let_151 _let_153))))) (let ((_let_907 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_577 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_576)) :args _let_575)))) (let ((_let_908 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_146 (= X24 X115)))))) (let ((_let_909 (AND_ELIM _let_325 :args (98)))) (let ((_let_910 (MACRO_RESOLUTION_TRUST _let_655 _let_333 _let_654 _let_410 _let_653 _let_406 _let_647 _let_396 _let_883 _let_882 _let_881 _let_333 _let_880 _let_333 _let_879 _let_878 _let_877 _let_876 _let_679 _let_875 _let_874 _let_872 _let_681 _let_873 _let_872 _let_871 _let_232 _let_231 _let_229 _let_455 (MACRO_RESOLUTION_TRUST _let_610 _let_609 _let_611 _let_333 _let_606 _let_486 _let_602 _let_489 _let_592 _let_482 _let_490 _let_480 _let_333 _let_478 _let_473 _let_462 :args ((or _let_322 _let_156 _let_430 _let_460) true _let_114 false tptp.hskp4 false tptp.ndr1_0 false _let_311 true _let_184 false _let_243 true _let_186 true tptp.hskp12 false _let_131 true _let_72 false tptp.hskp0 false tptp.ndr1_0 true tptp.hskp18 true _let_45 false _let_459)) (MACRO_RESOLUTION_TRUST _let_392 _let_333 _let_705 _let_366 _let_704 _let_445 _let_703 _let_529 _let_514 _let_702 _let_701 _let_700 _let_688 _let_646 _let_524 _let_523 _let_521 _let_698 _let_699 _let_693 :args ((or _let_239 _let_173) false tptp.ndr1_0 true _let_250 true _let_352 true _let_251 true _let_303 true _let_248 true _let_249 true _let_246 true _let_219 true _let_690 true _let_275 false _let_280 false _let_133 false _let_174 true _let_176 true _let_178 true _let_279 false _let_277 true _let_689)) _let_201 _let_200 _let_199 _let_197 _let_193 _let_192 (MACRO_RESOLUTION_TRUST _let_823 _let_824 _let_405 _let_404 _let_403 _let_410 _let_825 (AND_ELIM _let_325 :args (54)) _let_333 _let_570 _let_840 _let_571 _let_333 _let_819 _let_854 _let_804 _let_611 _let_333 _let_853 _let_852 _let_851 _let_803 _let_610 _let_849 _let_802 _let_609 _let_909 _let_333 _let_652 _let_650 _let_606 _let_789 _let_908 _let_574 _let_654 _let_811 _let_907 _let_801 _let_333 _let_810 _let_333 _let_906 _let_904 _let_903 _let_744 _let_905 _let_904 _let_903 _let_297 _let_892 _let_301 :args ((or _let_322 _let_891 _let_240 _let_241 _let_195) true _let_657 true _let_63 false _let_65 false _let_66 false _let_67 false _let_821 false tptp.hskp13 false tptp.ndr1_0 false _let_439 true _let_140 false _let_558 false tptp.ndr1_0 false _let_816 true _let_142 true _let_440 false _let_184 false tptp.ndr1_0 true _let_24 true _let_26 false _let_28 true _let_785 true tptp.hskp4 false _let_29 true _let_782 true _let_114 false tptp.hskp22 false tptp.ndr1_0 true _let_115 false _let_119 false _let_311 false _let_784 true _let_145 true _let_560 false _let_120 false _let_243 true _let_146 false tptp.hskp3 false tptp.ndr1_0 false _let_242 false tptp.ndr1_0 true _let_152 false _let_147 false _let_149 true tptp.hskp28 true _let_151 false _let_147 false _let_149 true _let_7 false _let_155 false _let_255)) _let_800 _let_809 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_239 (= Y X43)))) _let_612 :args (_let_239 false tptp.ndr1_0 true tptp.hskp3 true tptp.hskp13 true _let_120 true _let_67 false _let_224 false _let_222 false _let_219 false _let_218 false _let_217 false tptp.ndr1_0 false _let_216 false tptp.ndr1_0 true _let_215 true _let_214 true _let_213 true _let_146 true _let_212 true _let_211 false _let_124 false _let_123 true _let_209 true _let_204 false _let_123 true _let_121 false _let_202 false _let_207 false _let_203 false _let_166 false _let_430 false _let_173 false _let_159 false _let_161 false _let_163 true _let_165 true _let_158 true _let_157 true _let_156 true _let_241 true _let_240 true _let_891 true _let_322)))) (let ((_let_911 (MACRO_RESOLUTION_TRUST _let_854 _let_853 _let_852 _let_851 :args ((or _let_850 _let_144) true _let_24 true _let_26 false _let_28)))) (let ((_let_912 (not _let_85))) (let ((_let_913 (MACRO_RESOLUTION_TRUST _let_411 (MACRO_RESOLUTION_TRUST _let_409 (MACRO_RESOLUTION_TRUST _let_400 _let_910 :args (_let_282 false _let_239)) :args (_let_408 false _let_282)) :args (_let_52 true _let_51)))) (let ((_let_914 (MACRO_RESOLUTION_TRUST _let_708 (MACRO_RESOLUTION_TRUST _let_840 (MACRO_RESOLUTION_TRUST _let_911 (MACRO_RESOLUTION_TRUST _let_849 (MACRO_RESOLUTION_TRUST _let_909 _let_333 (MACRO_RESOLUTION_TRUST _let_908 (MACRO_RESOLUTION_TRUST _let_907 (MACRO_RESOLUTION_TRUST _let_906 _let_903 _let_904 (MACRO_RESOLUTION_TRUST _let_905 _let_903 _let_904 (MACRO_RESOLUTION_TRUST _let_892 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_685 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_684)) :args _let_683)) _let_706 _let_333 _let_913 (REORDERING (CNF_OR_POS :args (_let_190)) :args ((or _let_171 _let_168 _let_189 (not _let_190)))) _let_482 (REORDERING (CNF_OR_POS :args (_let_188)) :args ((or _let_171 _let_170 _let_187 (not _let_188)))) _let_489 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_485 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_484)) :args _let_483)) _let_486 _let_481 _let_479 _let_333 _let_866 _let_712 _let_708 _let_707 _let_333 _let_913 _let_332 _let_672 _let_348 _let_646 _let_521 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_890)) :args ((or _let_82 _let_887 _let_885 (not _let_890)))) (REORDERING (CNF_OR_POS :args (_let_888)) :args ((or _let_80 _let_887 _let_886 (not _let_888)))) (REORDERING (CNF_AND_POS :args (_let_85 3)) :args ((or _let_81 _let_912))) (REORDERING (CNF_AND_POS :args (_let_85 2)) :args ((or _let_83 _let_912))) (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_84 _let_912))) (AND_ELIM _let_325 :args (10)) (REORDERING (AND_ELIM _let_325 :args (101)) :args ((or tptp.hskp10 tptp.hskp22 _let_334 _let_889))) _let_333 _let_849 _let_911 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_711 :args (tptp.a140 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X44) true))))) :args _let_709)) _let_840 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_140 (= X44 X75)))) (AND_ELIM _let_325 :args (69)) _let_333 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_212 (= X76 X118)))) _let_799 _let_738 _let_798 _let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_605 :args (tptp.a140 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_604)) :args _let_603)) _let_796 _let_602 _let_795 _let_592 _let_792 (MACRO_RESOLUTION_TRUST _let_790 _let_910 :args (_let_768 false _let_239)) _let_490 _let_777 _let_455 _let_884 _let_200 _let_199 _let_201 _let_197 _let_192 _let_193 :args ((or _let_156 _let_460) true _let_885 true _let_80 true _let_82 false _let_84 false _let_85 false tptp.hskp10 false tptp.ndr1_0 true tptp.hskp22 true _let_29 false _let_890 false _let_142 false _let_140 false (forall ((X75 $$unsorted)) (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c0_1 X75)))) false tptp.ndr1_0 true _let_889 true _let_212 true tptp.hskp7 true _let_102 false _let_244 false _let_888 false _let_771 false _let_243 false _let_250 true tptp.hskp12 false _let_769 false _let_768 true _let_72 false _let_754 true _let_430 true _let_166 false _let_161 false _let_163 false _let_159 true _let_165 true _let_157 true _let_158)) _let_865 _let_864 _let_862 _let_861 _let_884 _let_201 _let_200 _let_199 _let_197 _let_193 _let_192 :args (_let_156 false _let_191 false tptp.ndr1_0 true tptp.hskp17 true _let_190 true tptp.hskp0 false _let_187 true _let_131 false _let_188 false _let_186 false _let_184 false _let_183 false tptp.ndr1_0 true _let_182 false _let_181 false _let_140 false _let_139 false tptp.ndr1_0 true tptp.hskp17 true tptp.hskp19 true _let_39 false _let_137 false _let_133 true _let_178 true _let_173 false _let_167 false _let_169 true _let_171 true _let_172 true _let_166 false _let_159 false _let_161 false _let_163 true _let_165 true _let_158 true _let_157)) :args (_let_155 false _let_156)) :args (_let_154 false _let_149 false _let_147 false _let_155)) :args (_let_153 false _let_149 false _let_147 true _let_151)) :args ((not _let_146) true _let_152)) :args ((not _let_145) true _let_146)) :args (tptp.hskp22 false tptp.ndr1_0 true _let_145)) :args (_let_29 false tptp.hskp22)) :args (_let_144 false _let_29)) :args (_let_143 true _let_142)) :args ((not _let_139) true _let_140)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_349 (MACRO_RESOLUTION_TRUST _let_620 _let_910 (MACRO_RESOLUTION_TRUST _let_622 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_442 2)) (CONG (REFL :args _let_587) (MACRO_SR_PRED_INTRO :args ((= (not _let_441) _let_307))) :args _let_194)) :args ((or _let_307 _let_442))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_365 _let_333 _let_544 _let_417 _let_586 _let_624 _let_588 _let_585 _let_617 _let_584 _let_552 _let_616 _let_333 _let_349 _let_348 _let_344 _let_339 _let_338 _let_337 _let_332 _let_707 _let_333 :args ((or tptp.hskp17 _let_139 _let_581) false tptp.ndr1_0 true _let_351 true _let_303 true _let_323 true _let_308 true _let_307 true _let_17 true _let_19 true _let_21 false _let_23 false tptp.hskp24 false tptp.ndr1_0 true _let_134 true _let_133 true _let_137 true _let_35 false _let_37 false _let_38 false _let_39 false tptp.hskp19 false tptp.ndr1_0)) _let_913 _let_914 :args (_let_581 true tptp.hskp17 true _let_139)) :args (_let_307 true _let_442)) :args (_let_323 false _let_307)) :args (_let_134 false _let_239 false _let_323)) (MACRO_RESOLUTION_TRUST _let_348 (MACRO_RESOLUTION_TRUST _let_672 (MACRO_RESOLUTION_TRUST _let_332 (MACRO_RESOLUTION_TRUST _let_707 _let_913 _let_333 _let_914 :args (tptp.hskp19 true tptp.hskp17 false tptp.ndr1_0 true _let_139)) :args (_let_39 false tptp.hskp19)) :args (_let_138 false _let_39)) :args ((not _let_133) true _let_137)) :args (false false _let_134 true _let_133)) :args (_let_132 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.25/0.79 )
% 0.25/0.79 % SZS output end Proof for SYN499+1
% 0.25/0.79 % cvc5---1.0.5 exiting
% 0.25/0.80 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------