%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 02:03:18 EDT 2023

% Result   : Theorem 0.23s 0.76s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN450+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.37  % Computer : n014.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sat Aug 26 17:31:17 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wlppSPQZeW/cvc5---1.0.5_16005.p...
% 0.23/0.76  ------- get file name : TPTP file name is SYN450+1
% 0.23/0.76  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16005.smt2...
% 0.23/0.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.76  % SZS status Theorem for SYN450+1
% 0.23/0.76  % SZS output start Proof for SYN450+1
% 0.23/0.76  (
% 0.23/0.76  (let ((_let_1 (tptp.c3_1 tptp.a688))) (let ((_let_2 (tptp.c2_1 tptp.a688))) (let ((_let_3 (tptp.c1_1 tptp.a688))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c2_1 tptp.a671))) (let ((_let_6 (tptp.c1_1 tptp.a671))) (let ((_let_7 (tptp.c0_1 tptp.a671))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c3_1 tptp.a695))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c0_1 tptp.a695))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.c2_1 tptp.a695))) (let ((_let_14 (and tptp.ndr1_0 _let_13 _let_12 _let_10))) (let ((_let_15 (tptp.c0_1 tptp.a693))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c3_1 tptp.a693))) (let ((_let_18 (tptp.c2_1 tptp.a693))) (let ((_let_19 (and tptp.ndr1_0 _let_18 _let_17 _let_16))) (let ((_let_20 (tptp.c3_1 tptp.a686))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c2_1 tptp.a686))) (let ((_let_23 (tptp.c1_1 tptp.a686))) (let ((_let_24 (and tptp.ndr1_0 _let_23 _let_22 _let_21))) (let ((_let_25 (tptp.c2_1 tptp.a682))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.c1_1 tptp.a682))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.c3_1 tptp.a682))) (let ((_let_30 (and tptp.ndr1_0 _let_29 _let_28 _let_26))) (let ((_let_31 (tptp.c2_1 tptp.a676))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.c1_1 tptp.a676))) (let ((_let_34 (tptp.c0_1 tptp.a676))) (let ((_let_35 (and tptp.ndr1_0 _let_34 _let_33 _let_32))) (let ((_let_36 (tptp.c3_1 tptp.a675))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.c1_1 tptp.a675))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.c2_1 tptp.a675))) (let ((_let_41 (and tptp.ndr1_0 _let_40 _let_39 _let_37))) (let ((_let_42 (tptp.c3_1 tptp.a672))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c2_1 tptp.a672))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c1_1 tptp.a672))) (let ((_let_47 (and tptp.ndr1_0 _let_46 _let_45 _let_43))) (let ((_let_48 (tptp.c1_1 tptp.a665))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.c0_1 tptp.a665))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c2_1 tptp.a665))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_49))) (let ((_let_54 (tptp.c3_1 tptp.a661))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c1_1 tptp.a661))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c0_1 tptp.a661))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_55))) (let ((_let_60 (tptp.c2_1 tptp.a660))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.c1_1 tptp.a660))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c0_1 tptp.a660))) (let ((_let_65 (and tptp.ndr1_0 _let_64 _let_63 _let_61))) (let ((_let_66 (tptp.c2_1 tptp.a652))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.c3_1 tptp.a652))) (let ((_let_69 (tptp.c0_1 tptp.a652))) (let ((_let_70 (and tptp.ndr1_0 _let_69 _let_68 _let_67))) (let ((_let_71 (tptp.c1_1 tptp.a651))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c0_1 tptp.a651))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.c3_1 tptp.a651))) (let ((_let_76 (and tptp.ndr1_0 _let_75 _let_74 _let_72))) (let ((_let_77 (tptp.c3_1 tptp.a648))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.c2_1 tptp.a648))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.c0_1 tptp.a648))) (let ((_let_82 (and tptp.ndr1_0 _let_81 _let_80 _let_78))) (let ((_let_83 (tptp.c3_1 tptp.a647))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c0_1 tptp.a647))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c1_1 tptp.a647))) (let ((_let_88 (and tptp.ndr1_0 _let_87 _let_86 _let_84))) (let ((_let_89 (not tptp.hskp5))) (let ((_let_90 (tptp.c3_1 tptp.a646))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.c2_1 tptp.a646))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.c1_1 tptp.a646))) (let ((_let_95 (not _let_94))) (let ((_let_96 (and tptp.ndr1_0 _let_95 _let_93 _let_91))) (let ((_let_97 (tptp.c0_1 tptp.a643))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.c2_1 tptp.a643))) (let ((_let_100 (tptp.c1_1 tptp.a643))) (let ((_let_101 (and tptp.ndr1_0 _let_100 _let_99 _let_98))) (let ((_let_102 (tptp.c1_1 tptp.a642))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c3_1 tptp.a642))) (let ((_let_105 (tptp.c0_1 tptp.a642))) (let ((_let_106 (and tptp.ndr1_0 _let_105 _let_104 _let_103))) (let ((_let_107 (tptp.c1_1 tptp.a641))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.c3_1 tptp.a641))) (let ((_let_110 (tptp.c2_1 tptp.a641))) (let ((_let_111 (and tptp.ndr1_0 _let_110 _let_109 _let_108))) (let ((_let_112 (not (not (and (or (not tptp.hskp0) _let_111) (or (not tptp.hskp1) _let_106) (or (not tptp.hskp2) _let_101) (or (not tptp.hskp3) (and tptp.ndr1_0 (tptp.c1_1 tptp.a645) (tptp.c3_1 tptp.a645) (not (tptp.c2_1 tptp.a645)))) (or (not tptp.hskp4) _let_96) (or _let_89 _let_88) (or (not tptp.hskp6) _let_82) (or (not tptp.hskp7) _let_76) (or (not tptp.hskp8) _let_70) (or (not tptp.hskp9) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a654)) (not (tptp.c1_1 tptp.a654)) (not (tptp.c2_1 tptp.a654)))) (or (not tptp.hskp10) (and tptp.ndr1_0 (tptp.c0_1 tptp.a656) (tptp.c2_1 tptp.a656) (not (tptp.c1_1 tptp.a656)))) (or (not tptp.hskp11) (and tptp.ndr1_0 (tptp.c0_1 tptp.a657) (tptp.c2_1 tptp.a657) (not (tptp.c3_1 tptp.a657)))) (or (not tptp.hskp12) _let_65) (or (not tptp.hskp13) _let_59) (or (not tptp.hskp14) _let_53) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c3_1 tptp.a667) (not (tptp.c0_1 tptp.a667)) (not (tptp.c2_1 tptp.a667)))) (or (not tptp.hskp16) _let_47) (or (not tptp.hskp17) _let_41) (or (not tptp.hskp18) _let_35) (or (not tptp.hskp19) _let_30) (or (not tptp.hskp20) _let_24) (or (not tptp.hskp21) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a691)) (not (tptp.c1_1 tptp.a691)) (not (tptp.c3_1 tptp.a691)))) (or (not tptp.hskp22) _let_19) (or (not tptp.hskp23) _let_14) (or (not tptp.hskp24) (and tptp.ndr1_0 (tptp.c1_1 tptp.a698) (not (tptp.c0_1 tptp.a698)) (not (tptp.c2_1 tptp.a698)))) (or (not tptp.hskp25) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a710)) (not (tptp.c2_1 tptp.a710)) (not (tptp.c3_1 tptp.a710)))) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a640) (tptp.c1_1 tptp.a640) (tptp.c3_1 tptp.a640))) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c0_1 tptp.a655) (tptp.c2_1 tptp.a655) (tptp.c3_1 tptp.a655))) (or (not tptp.hskp28) _let_8) (or (not tptp.hskp29) _let_4) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) tptp.hskp26 tptp.hskp0) (or (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V)))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (not (tptp.c2_1 W))))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X) (not (tptp.c0_1 X)) (not (tptp.c1_1 X)))))) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c3_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (not (tptp.c2_1 Z)) (not (tptp.c3_1 Z))))) tptp.hskp1) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1)))) tptp.hskp2 tptp.hskp0) (or (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (tptp.c3_1 X2)))) tptp.hskp3 tptp.hskp4) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3))))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4))))) tptp.hskp5) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (not (tptp.c2_1 X5))))) tptp.hskp6 tptp.hskp2) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c3_1 X6))))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X7) (tptp.c3_1 X7) (not (tptp.c1_1 X7))))) tptp.hskp2) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (not (tptp.c3_1 X8))))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X9) (not (tptp.c0_1 X9)) (not (tptp.c3_1 X9))))) tptp.hskp7) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c3_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X11)) (not (tptp.c1_1 X11)) (not (tptp.c2_1 X11))))) tptp.hskp8) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c3_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13))))) tptp.hskp3) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c2_1 X14) (tptp.c3_1 X14)))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X15) (tptp.c2_1 X15) (tptp.c3_1 X15)))) (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X16)) (not (tptp.c1_1 X16)) (not (tptp.c3_1 X16)))))) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c2_1 X17) (tptp.c3_1 X17)))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X18) (tptp.c3_1 X18) (not (tptp.c2_1 X18))))) tptp.hskp9) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (not (tptp.c3_1 X19))))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X20) (tptp.c2_1 X20) (not (tptp.c3_1 X20))))) tptp.hskp27) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (not (tptp.c3_1 X21))))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X22) (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22))))) tptp.hskp10) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c3_1 X23) (not (tptp.c1_1 X23))))) (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24))))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X25) (tptp.c2_1 X25) (not (tptp.c0_1 X25)))))) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c3_1 X26) (not (tptp.c1_1 X26))))) (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (not (tptp.c1_1 X27)) (not (tptp.c3_1 X27))))) tptp.hskp11) (or (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X28) (tptp.c3_1 X28) (not (tptp.c1_1 X28))))) (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X29) (not (tptp.c2_1 X29)) (not (tptp.c3_1 X29))))) tptp.hskp27) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c3_1 X31))))) tptp.hskp6) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c3_1 X32) (not (tptp.c1_1 X32))))) tptp.hskp12 tptp.hskp13) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c3_1 X33) (not (tptp.c2_1 X33))))) tptp.hskp6 tptp.hskp3) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X35) (not (tptp.c2_1 X35)) (not (tptp.c3_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X36)) (not (tptp.c1_1 X36)) (not (tptp.c2_1 X36)))))) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c2_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (not (tptp.c2_1 X38)) (not (tptp.c3_1 X38))))) (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X39)) (not (tptp.c2_1 X39)) (not (tptp.c3_1 X39)))))) (or (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c3_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c3_1 X41) (not (tptp.c0_1 X41))))) (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X42) (not (tptp.c0_1 X42)) (not (tptp.c1_1 X42)))))) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (not (tptp.c2_1 X43)) (not (tptp.c3_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X44) (tptp.c3_1 X44) (not (tptp.c0_1 X44))))) tptp.hskp7) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (not (tptp.c2_1 X45)) (not (tptp.c3_1 X45))))) tptp.hskp14 tptp.hskp4) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c2_1 X46)) (not (tptp.c3_1 X46))))) tptp.hskp15 tptp.hskp9) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X47) (tptp.c2_1 X47) (tptp.c3_1 X47)))) (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48))))) tptp.hskp4) (or (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X49) (tptp.c2_1 X49) (not (tptp.c0_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X50) (tptp.c3_1 X50) (not (tptp.c0_1 X50))))) tptp.hskp12) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X51) (tptp.c2_1 X51) (not (tptp.c3_1 X51))))) tptp.hskp28 tptp.hskp16) (or (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X52) (tptp.c3_1 X52) (not (tptp.c0_1 X52))))) (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c2_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c2_1 X54)))))) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X55) (tptp.c3_1 X55) (not (tptp.c0_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X56)) (not (tptp.c1_1 X56)) (not (tptp.c2_1 X56))))) tptp.hskp7) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (tptp.c3_1 X57) (not (tptp.c2_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X59) (not (tptp.c0_1 X59)) (not (tptp.c1_1 X59)))))) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60))))) tptp.hskp28 tptp.hskp17) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (not (tptp.c0_1 X61)) (not (tptp.c3_1 X61))))) tptp.hskp18 tptp.hskp4) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (not (tptp.c2_1 X62)) (not (tptp.c3_1 X62))))) (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X63) (not (tptp.c0_1 X63)) (not (tptp.c1_1 X63))))) tptp.hskp9) (or (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X64) (not (tptp.c2_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp17 tptp.hskp7) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (not (tptp.c2_1 X65)) (not (tptp.c3_1 X65))))) tptp.hskp17 tptp.hskp19) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X66) (tptp.c3_1 X66) (not (tptp.c0_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X67) (not (tptp.c0_1 X67)) (not (tptp.c2_1 X67)))))) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X68) (tptp.c3_1 X68) (not (tptp.c0_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X69)) (not (tptp.c2_1 X69)) (not (tptp.c3_1 X69))))) tptp.hskp11) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X70) (tptp.c3_1 X70) (not (tptp.c0_1 X70))))) tptp.hskp8 tptp.hskp19) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X71) (tptp.c3_1 X71) (not (tptp.c0_1 X71))))) tptp.hskp20 tptp.hskp5) (or (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c1_1 X72))))) tptp.hskp29 tptp.hskp5) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X73) (not (tptp.c0_1 X73)) (not (tptp.c3_1 X73))))) tptp.hskp11 tptp.hskp21) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X74) (not (tptp.c0_1 X74)) (not (tptp.c3_1 X74))))) tptp.hskp20 tptp.hskp22) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c3_1 X75))))) tptp.hskp5 tptp.hskp23) (or (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c1_1 X76)) (not (tptp.c3_1 X76))))) (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X77)) (not (tptp.c2_1 X77)) (not (tptp.c3_1 X77))))) tptp.hskp8) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X78) (not (tptp.c1_1 X78)) (not (tptp.c3_1 X78))))) tptp.hskp2 tptp.hskp24) (or (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (not (tptp.c1_1 X79)) (not (tptp.c3_1 X79))))) tptp.hskp3 tptp.hskp15) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X80) (not (tptp.c0_1 X80)) (not (tptp.c2_1 X80))))) tptp.hskp1 tptp.hskp29) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X81) (not (tptp.c0_1 X81)) (not (tptp.c2_1 X81))))) tptp.hskp12 tptp.hskp20) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X82) (not (tptp.c0_1 X82)) (not (tptp.c2_1 X82))))) tptp.hskp15 tptp.hskp9) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X83) (not (tptp.c1_1 X83)) (not (tptp.c2_1 X83))))) tptp.hskp10 tptp.hskp29) (or (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X84)) (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84))))) tptp.hskp23 tptp.hskp25) (or tptp.hskp18 tptp.hskp1 tptp.hskp7) (or tptp.hskp18 tptp.hskp2 tptp.hskp20) (or tptp.hskp1 tptp.hskp14 tptp.hskp17) (or tptp.hskp2 tptp.hskp22 tptp.hskp19) (or tptp.hskp20 tptp.hskp24 tptp.hskp0) (or tptp.hskp24 tptp.hskp14 tptp.hskp17)))))) (let ((_let_113 (not _let_40))) (let ((_let_114 (tptp.c0_1 tptp.a675))) (let ((_let_115 (or _let_114 _let_38 _let_113))) (let ((_let_116 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c1_1 W) (not (tptp.c2_1 W)))))) (let ((_let_117 (not _let_115))) (let ((_let_118 (or _let_114 _let_38 _let_36))) (let ((_let_119 (not _let_114))) (let ((_let_120 (not _let_118))) (let ((_let_121 (not _let_87))) (let ((_let_122 (or _let_85 _let_83 _let_121))) (let ((_let_123 (not _let_88))) (let ((_let_124 (forall ((X23 $$unsorted)) (or (tptp.c0_1 X23) (tptp.c3_1 X23) (not (tptp.c1_1 X23)))))) (let ((_let_125 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (not (tptp.c1_1 X24)) (not (tptp.c2_1 X24)))))) (let ((_let_126 (forall ((X25 $$unsorted)) (or (tptp.c1_1 X25) (tptp.c2_1 X25) (not (tptp.c0_1 X25)))))) (let ((_let_127 (not _let_64))) (let ((_let_128 (or _let_62 _let_60 _let_127))) (let ((_let_129 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_132 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_133 (or _let_132 _let_131 _let_130))) (let ((_let_134 (not _let_58))) (let ((_let_135 (or _let_56 _let_54 _let_134))) (let ((_let_136 (forall ((X41 $$unsorted)) (or (tptp.c1_1 X41) (tptp.c3_1 X41) (not (tptp.c0_1 X41)))))) (let ((_let_137 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_138 (or _let_132 _let_137 _let_130))) (let ((_let_139 (or _let_131 _let_137 _let_130))) (let ((_let_140 (or _let_132 _let_131 _let_137))) (let ((_let_141 (not _let_99))) (let ((_let_142 (not _let_100))) (let ((_let_143 (or _let_97 _let_142 _let_141))) (let ((_let_144 (not _let_125))) (let ((_let_145 (not _let_143))) (let ((_let_146 (not _let_75))) (let ((_let_147 (or _let_73 _let_71 _let_146))) (let ((_let_148 (forall ((X6 $$unsorted)) (or (tptp.c0_1 X6) (tptp.c1_1 X6) (not (tptp.c3_1 X6)))))) (let ((_let_149 (forall ((X10 $$unsorted)) (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c3_1 X10)))))) (let ((_let_150 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_151 (not _let_150))) (let ((_let_152 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_153 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_154 (or _let_153 _let_152 _let_151))) (let ((_let_155 (forall ((X7 $$unsorted)) (or (tptp.c2_1 X7) (tptp.c3_1 X7) (not (tptp.c1_1 X7)))))) (let ((_let_156 (not _let_46))) (let ((_let_157 (or _let_44 _let_42 _let_156))) (let ((_let_158 (tptp.c2_1 tptp.a647))) (let ((_let_159 (or _let_158 _let_83 _let_121))) (let ((_let_160 (forall ((X29 $$unsorted)) (or (tptp.c1_1 X29) (not (tptp.c2_1 X29)) (not (tptp.c3_1 X29)))))) (let ((_let_161 (not _let_109))) (let ((_let_162 (not _let_110))) (let ((_let_163 (or _let_107 _let_162 _let_161))) (let ((_let_164 (not _let_104))) (let ((_let_165 (tptp.c2_1 tptp.a642))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_102 _let_166 _let_164))) (let ((_let_168 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_169 (not _let_168))) (let ((_let_170 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_171 (not _let_170))) (let ((_let_172 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_173 (or _let_172 _let_171 _let_169))) (let ((_let_174 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_152 _let_175 _let_151))) (let ((_let_177 (tptp.c3_1 tptp.a665))) (let ((_let_178 (not _let_177))) (let ((_let_179 (not _let_52))) (let ((_let_180 (or _let_48 _let_179 _let_178))) (let ((_let_181 (or _let_152 _let_174 _let_151))) (let ((_let_182 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1))))) (let ((_let_183 (forall ((X20 $$unsorted)) (or (tptp.c1_1 X20) (tptp.c2_1 X20) (not (tptp.c3_1 X20)))))) (let ((_let_184 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (tptp.c3_1 V))))) (let ((_let_185 (forall ((X51 $$unsorted)) (or (tptp.c1_1 X51) (tptp.c2_1 X51) (not (tptp.c3_1 X51)))))) (let ((_let_186 (or _let_50 _let_48 _let_177))) (let ((_let_187 (tptp.c1_1 tptp.a695))) (let ((_let_188 (or _let_11 _let_187 _let_9))) (let ((_let_189 (not _let_5))) (let ((_let_190 (not _let_6))) (let ((_let_191 (not _let_7))) (let ((_let_192 (or _let_191 _let_190 _let_189))) (let ((_let_193 (forall ((X9 $$unsorted)) (or (tptp.c2_1 X9) (not (tptp.c0_1 X9)) (not (tptp.c3_1 X9)))))) (let ((_let_194 (forall ((X11 $$unsorted)) (or (not (tptp.c0_1 X11)) (not (tptp.c1_1 X11)) (not (tptp.c2_1 X11)))))) (let ((_let_195 (forall ((X75 $$unsorted)) (or (tptp.c2_1 X75) (not (tptp.c0_1 X75)) (not (tptp.c3_1 X75)))))) (let ((_let_196 (forall ((X36 $$unsorted)) (or (not (tptp.c0_1 X36)) (not (tptp.c1_1 X36)) (not (tptp.c2_1 X36)))))) (let ((_let_197 (not _let_105))) (let ((_let_198 (or _let_102 _let_197 _let_164))) (let ((_let_199 (forall ((X60 $$unsorted)) (or (tptp.c1_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c3_1 X60)))))) (let ((_let_200 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_201 (not _let_200))) (let ((_let_202 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_203 (not _let_202))) (let ((_let_204 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_205 (or _let_204 _let_203 _let_201))) (let ((_let_206 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_207 (or _let_204 _let_206 _let_203))) (let ((_let_208 (or _let_206 _let_203 _let_201))) (let ((_let_209 (not _let_206))) (let ((_let_210 (or _let_204 _let_203 _let_209))) (let ((_let_211 (forall ((X53 $$unsorted)) (or (tptp.c1_1 X53) (not (tptp.c0_1 X53)) (not (tptp.c2_1 X53)))))) (let ((_let_212 (forall ((X54 $$unsorted)) (or (tptp.c3_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c2_1 X54)))))) (let ((_let_213 (not _let_131))) (let ((_let_214 (or _let_137 _let_130 _let_213))) (let ((_let_215 (or _let_38 _let_36 _let_113))) (let ((_let_216 (forall ((X4 $$unsorted)) (or (tptp.c1_1 X4) (tptp.c3_1 X4) (not (tptp.c2_1 X4)))))) (let ((_let_217 (forall ((X3 $$unsorted)) (or (tptp.c0_1 X3) (tptp.c1_1 X3) (not (tptp.c2_1 X3)))))) (let ((_let_218 (forall ((X5 $$unsorted)) (or (tptp.c0_1 X5) (tptp.c1_1 X5) (not (tptp.c2_1 X5)))))) (let ((_let_219 (forall ((X $$unsorted)) (or (tptp.c2_1 X) (not (tptp.c0_1 X)) (not (tptp.c1_1 X)))))) (let ((_let_220 (tptp.c1_1 tptp.a648))) (let ((_let_221 (not _let_220))) (let ((_let_222 (not _let_81))) (let ((_let_223 (or _let_79 _let_222 _let_221))) (let ((_let_224 (or _let_220 _let_79 _let_222))) (let ((_let_225 (not _let_22))) (let ((_let_226 (not _let_23))) (let ((_let_227 (tptp.c0_1 tptp.a686))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_226 _let_225))) (let ((_let_230 (not _let_158))) (let ((_let_231 (or _let_85 _let_121 _let_230))) (let ((_let_232 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_233 (not _let_232))) (let ((_let_234 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_235 (not _let_234))) (let ((_let_236 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_237 (or _let_236 _let_235 _let_233))) (let ((_let_238 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_239 (not _let_238))) (let ((_let_240 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_241 (not _let_240))) (let ((_let_242 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_243 (or _let_242 _let_241 _let_239))) (let ((_let_244 (or _let_227 _let_226 _let_225))) (let ((_let_245 (not _let_33))) (let ((_let_246 (not _let_34))) (let ((_let_247 (or _let_31 _let_246 _let_245))) (let ((_let_248 (forall ((X59 $$unsorted)) (or (tptp.c2_1 X59) (not (tptp.c0_1 X59)) (not (tptp.c1_1 X59)))))) (let ((_let_249 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_250 (tptp.c1_1 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(CNF_OR_POS :args (_let_266)) :args ((or _let_79 _let_77 _let_222 _let_496))) (REORDERING (CNF_AND_POS :args (_let_82 3)) :args ((or _let_78 _let_497))) _let_499 _let_498 :args ((or _let_497 _let_496) true _let_77 true _let_79 false _let_81)))) (let ((_let_501 (AND_ELIM _let_317 :args (6)))) (let ((_let_502 (REORDERING (AND_ELIM _let_317 :args (36)) :args ((or tptp.hskp2 tptp.hskp6 _let_385 _let_218))))) (let ((_let_503 (_let_373))) (let ((_let_504 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_116 (= W X5)))))) (let ((_let_505 (_let_116))) (let ((_let_506 ((not (= (tptp.c0_1 W) true))))) (let ((_let_507 (ASSUME :args _let_505))) (let ((_let_508 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (tptp.a695 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)))) (let ((_let_509 (not _let_374))) (let ((_let_510 (not _let_367))) (let ((_let_511 (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_13 _let_473))))) (let ((_let_512 (REORDERING (CNF_OR_POS :args (_let_367)) :args ((or _let_11 _let_365 _let_366 _let_510))))) (let ((_let_513 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_374)) :args ((or _let_11 _let_365 _let_187 _let_509))) _let_512 _let_474 _let_511 :args ((or _let_473 _let_510 _let_509) true _let_187 true _let_11 false _let_13)))) (let ((_let_514 (AND_ELIM _let_317 :args (4)))) (let ((_let_515 (not _let_96))) (let ((_let_516 (REORDERING (CNF_AND_POS :args (_let_96 1)) :args ((or _let_95 _let_515))))) (let ((_let_517 (REORDERING (CNF_AND_POS :args (_let_96 2)) :args ((or _let_93 _let_515))))) (let ((_let_518 (REORDERING (CNF_AND_POS :args (_let_96 3)) :args ((or _let_91 _let_515))))) (let ((_let_519 (not _let_300))) (let ((_let_520 (not _let_254))) (let ((_let_521 (not _let_291))) (let ((_let_522 (REORDERING (CNF_OR_POS :args (_let_291)) :args ((or _let_94 _let_90 _let_264 _let_521))))) (let ((_let_523 (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_94 _let_90 _let_253 _let_520))))) (let ((_let_524 (_let_275))) (let ((_let_525 ((not (= (tptp.c1_1 X15) true))))) (let ((_let_526 (ASSUME :args _let_524))) (let ((_let_527 ((not (= (tptp.c1_1 V) true))))) (let ((_let_528 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_404 :args (tptp.a646 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_527)) :args _let_402)))) (let ((_let_529 (_let_302))) (let ((_let_530 (_let_303))) (let ((_let_531 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X29 X64)))))) (let ((_let_532 (REORDERING (AND_ELIM _let_317 :args (66)) :args ((or tptp.hskp7 tptp.hskp17 _let_385 _let_308))))) (let ((_let_533 (AND_ELIM _let_317 :args (17)))) (let ((_let_534 (not _let_41))) (let ((_let_535 (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_40 _let_534))))) (let ((_let_536 (REORDERING (CNF_AND_POS :args (_let_41 2)) :args ((or _let_39 _let_534))))) (let ((_let_537 (REORDERING (CNF_AND_POS :args (_let_41 3)) :args ((or _let_37 _let_534))))) (let ((_let_538 (REORDERING (CNF_OR_POS :args (_let_292)) :args ((or _let_38 _let_36 _let_119 (not _let_292)))))) (let 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(_let_355)) :args ((or _let_27 _let_25 _let_353 (not _let_355)))) _let_431 _let_429 _let_430 _let_427 _let_426 _let_425 _let_423 _let_422 _let_421 _let_420 _let_417 (MACRO_RESOLUTION_TRUST _let_415 _let_414 _let_321 _let_413 _let_410 _let_409 _let_405 _let_401 _let_400 _let_398 _let_321 (REORDERING (CNF_OR_POS :args (_let_293)) :args ((or _let_50 _let_48 _let_178 _let_377))) _let_397 _let_396 _let_395 _let_393 _let_389 _let_388 (REORDERING (AND_ELIM _let_317 :args (55)) :args ((or tptp.hskp4 tptp.hskp14 _let_385 _let_378))) _let_321 _let_384 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_349 (= Z X45)))) :args ((or tptp.hskp2 tptp.hskp4 _let_349 _let_196 _let_377 _let_376) false tptp.hskp0 false tptp.ndr1_0 true _let_111 true _let_182 false _let_163 true _let_184 false _let_160 true _let_186 false _let_381 false tptp.ndr1_0 true _let_177 true _let_380 true _let_48 true _let_50 true _let_125 false _let_53 true _let_237 false tptp.hskp14 false tptp.ndr1_0 true _let_379 true _let_378)) :args ((or tptp.hskp2 tptp.hskp4 _let_196 _let_377 _let_376 _let_375) false tptp.hskp5 false tptp.ndr1_0 true _let_88 true tptp.hskp23 false _let_122 true _let_14 false _let_124 false _let_374 false (forall ((X30 $$unsorted)) (or (tptp.c0_1 X30) (tptp.c3_1 X30) (not (tptp.c1_1 X30)))) false tptp.ndr1_0 false _let_116 true _let_373 false _let_218 false tptp.ndr1_0 true _let_372 true tptp.hskp6 false _let_369 true _let_82 false _let_370 false _let_266 false _let_263 false tptp.ndr1_0 true _let_309 true _let_212 true _let_368 false _let_227 false _let_244 false _let_367 false _let_125 false _let_359 false _let_361 true _let_363 true _let_364 true _let_219 true _let_247 true _let_31 false _let_33 false _let_34 false _let_35 true _let_20 false _let_22 false _let_23 false tptp.hskp18 false tptp.ndr1_0 false _let_24 true _let_358 false tptp.hskp20 false tptp.ndr1_0 true _let_199 true _let_126 true _let_195 true _let_357 true _let_356 true _let_355 true _let_193 false _let_298 true _let_354 true _let_25 true _let_27 false _let_29 false _let_30 false tptp.hskp19 true tptp.hskp22 true _let_19 false _let_352 false _let_349)) _let_348 _let_347 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a665 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) (MACRO_RESOLUTION_TRUST _let_343 _let_342 _let_341 _let_340 _let_338 _let_337 _let_333 _let_321 _let_332 _let_321 _let_331 _let_330 :args ((or tptp.hskp7 _let_148 _let_194) true _let_66 false _let_68 false _let_69 false _let_70 false _let_329 false tptp.hskp8 false tptp.ndr1_0 false _let_193 false tptp.ndr1_0 true _let_149 true _let_255)) _let_326 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a646 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_136 (= X41 X55)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_290 2)) (CONG _let_322 (MACRO_SR_PRED_INTRO :args ((= (not _let_285) _let_284))) :args _let_311)) :args ((or _let_284 _let_290))) (REORDERING (EQ_RESOLVE 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(REORDERING (CNF_OR_POS :args (_let_594)) :args ((or _let_132 _let_130 _let_213 _let_604))) _let_603 _let_602 _let_601 :args ((or _let_138 _let_596 _let_604) true _let_131 false _let_129 true _let_137 true _let_132)))) (let ((_let_607 (_let_211))) (let ((_let_608 ((not (= (tptp.c1_1 X53) true))))) (let ((_let_609 (ASSUME :args _let_607))) (let ((_let_610 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)))) (let ((_let_611 (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_137 _let_130 _let_213 (not _let_214)))))) (let ((_let_612 (AND_ELIM _let_317 :args (60)))) (let ((_let_613 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_488 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_487)) :args _let_486)))) (let ((_let_614 (MACRO_RESOLUTION_TRUST _let_613 _let_612 _let_321 _let_611 _let_610 (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_132 _let_137 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(EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_628)) :args _let_628)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_627) _let_211))) (REFL :args ((not _let_282))) :args _let_311)))) (let ((_let_630 (not _let_216))) (let ((_let_631 (_let_630))) (let ((_let_632 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_631)) :args _let_631)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_630) _let_216))) (REFL :args ((not _let_283))) :args _let_311)))) (let ((_let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_609 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_608)) :args _let_607)))) (let ((_let_634 (not _let_208))) (let ((_let_635 (not _let_210))) (let ((_let_636 (CNF_OR_NEG :args (_let_205 0)))) (let ((_let_637 (REFL :args (_let_205)))) (let ((_let_638 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_205 1)) (CONG _let_637 (MACRO_SR_PRED_INTRO :args ((= (not _let_203) _let_202))) :args _let_311)) :args ((or _let_202 _let_205))))) 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:args (86)))) (let ((_let_646 (not _let_198))) (let ((_let_647 (REORDERING (CNF_AND_POS :args (_let_106 1)) :args ((or _let_105 _let_314))))) (let ((_let_648 (REORDERING (CNF_AND_POS :args (_let_106 2)) :args ((or _let_104 _let_314))))) (let ((_let_649 (REORDERING (CNF_AND_POS :args (_let_106 3)) :args ((or _let_103 _let_314))))) (let ((_let_650 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_102 _let_197 _let_164 _let_646))) _let_649 _let_648 _let_647 :args ((or _let_314 _let_646) true _let_102 false _let_104 false _let_105)))) (let ((_let_651 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (tptp.a671 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)))) (let ((_let_652 (not _let_192))) (let ((_let_653 (not _let_8))) (let ((_let_654 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_192)) :args ((or _let_191 _let_190 _let_189 _let_652))) (REORDERING (CNF_AND_POS :args (_let_8 3)) :args ((or _let_5 _let_653))) (REORDERING 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_let_42)))) (let ((_let_674 (AND_ELIM _let_317 :args (16)))) (let ((_let_675 (forall ((X65 $$unsorted)) (or (tptp.c1_1 X65) (not (tptp.c2_1 X65)) (not (tptp.c3_1 X65)))))) (let ((_let_676 (or _let_27 _let_25 _let_297))) (let ((_let_677 (or _let_187 _let_9 _let_365))) (let ((_let_678 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X29 X65)))))) (let ((_let_679 (AND_ELIM _let_317 :args (67)))) (let ((_let_680 (REORDERING (CNF_OR_POS :args (_let_676)) :args ((or _let_27 _let_25 _let_297 (not _let_676)))))) (let ((_let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (tptp.a682 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)))) (let ((_let_682 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_183 (= X20 X51)))))) (let ((_let_683 (REORDERING (AND_ELIM _let_317 :args (59)) :args ((or tptp.hskp16 tptp.hskp28 _let_385 _let_185))))) (let ((_let_684 (REORDERING (CNF_OR_POS :args (_let_677)) :args ((or _let_9 _let_365 _let_187 (not _let_677)))))) (let ((_let_685 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a695 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X4) true))))) :args _let_548)))) (let ((_let_686 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_408 :args (tptp.a642 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_407)) :args _let_406)))) (let ((_let_687 (or _let_165 _let_197 _let_164))) (let ((_let_688 (not _let_167))) (let ((_let_689 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_336 :args (tptp.a642 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_335)) :args _let_334)))) (let ((_let_690 (MACRO_RESOLUTION_TRUST _let_658 _let_538 _let_537 _let_536 _let_533 _let_645 _let_318 _let_650 _let_644 _let_643 _let_640 _let_633 _let_629 _let_620 _let_615 _let_326 :args ((or tptp.hskp14 _let_598 _let_120 _let_617 _let_634) true _let_114 true _let_36 true _let_38 false _let_41 false tptp.hskp17 true tptp.hskp1 true _let_106 false _let_198 false _let_199 false _let_205 false _let_210 false _let_211 false _let_282 false _let_278 false _let_292)))) (let ((_let_691 (REORDERING (CNF_OR_POS :args (_let_687)) :args ((or _let_197 _let_164 _let_165 (not _let_687)))))) (let ((_let_692 (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_102 _let_164 _let_166 _let_688))))) (let ((_let_693 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_436 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_435)) :args _let_434)))) (let ((_let_694 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_436 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_435)) :args _let_434)))) (let ((_let_695 (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_204 _let_203 _let_206 (not _let_207)))))) (let ((_let_696 (MACRO_RESOLUTION_TRUST _let_615 _let_597 _let_620 _let_612 _let_321 _let_629 :args ((or _let_211 _let_212 _let_617) false _let_136 true _let_278 false _let_593 false tptp.ndr1_0 true _let_282)))) (let ((_let_697 (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_130 _let_131 (not _let_133)))))) (let ((_let_698 (not _let_101))) (let ((_let_699 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_392 :args (tptp.a643 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_97 _let_142 _let_141 _let_145))) (REORDERING (CNF_AND_POS :args (_let_101 3)) :args ((or _let_98 _let_698))) (REORDERING (CNF_AND_POS :args (_let_101 2)) :args ((or _let_99 _let_698))) (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_100 _let_698))) :args ((or _let_698 _let_145) true _let_97 false _let_99 false _let_100)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_317 :args (2)) (MACRO_RESOLUTION_TRUST _let_611 _let_697 _let_613 _let_603 _let_602 _let_601 _let_696 _let_600 _let_633 _let_690 _let_639 (REORDERING (CNF_OR_NEG :args (_let_208 0)) :args ((or _let_209 _let_208))) _let_695 _let_694 _let_693 _let_480 (MACRO_RESOLUTION_TRUST _let_479 _let_512 _let_475 _let_474 _let_511 _let_472 _let_471 _let_321 _let_470 _let_583 _let_481 _let_545 :args ((or _let_195 _let_144 _let_478 _let_581) true _let_187 true _let_9 true _let_11 false _let_13 false _let_14 false tptp.hskp23 false tptp.ndr1_0 true tptp.hskp5 true _let_88 false _let_367 false _let_231)) _let_638 _let_636 _let_643 _let_644 _let_650 _let_310 _let_433 _let_318 _let_651 (MACRO_RESOLUTION_TRUST _let_692 _let_691 _let_649 _let_648 _let_647 _let_318 _let_645 _let_533 _let_659 _let_597 _let_690 _let_574 _let_689 :args ((or tptp.hskp14 (not _let_193) _let_120 _let_688 _let_617) false _let_165 true _let_102 false _let_104 false _let_105 false _let_106 false tptp.hskp1 true tptp.hskp17 true _let_41 true _let_593 true _let_136 false _let_208 false _let_687)) _let_645 _let_654 _let_389 _let_655 _let_560 _let_683 _let_321 _let_662 _let_477 _let_405 _let_682 _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) _let_414 _let_321 (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_152 _let_151 _let_174 (not _let_181)))) _let_415 _let_569 _let_413 _let_556 _let_555 _let_554 _let_686 _let_409 (MACRO_RESOLUTION_TRUST _let_665 _let_321 _let_685 _let_663 _let_684 _let_508 _let_512 _let_513 _let_475 _let_474 _let_511 _let_472 _let_471 _let_321 _let_433 _let_470 _let_337 _let_583 _let_343 _let_481 _let_545 _let_342 _let_341 _let_340 _let_397 _let_338 _let_398 _let_321 _let_333 _let_321 _let_310 _let_651 _let_654 _let_655 _let_683 _let_321 _let_682 _let_681 _let_680 _let_427 _let_426 _let_425 _let_423 _let_679 _let_321 _let_678 _let_401 :args ((or tptp.hskp16 tptp.hskp17 _let_149 _let_160 _let_581) false tptp.ndr1_0 true _let_216 true _let_217 true _let_677 true _let_116 true _let_187 true _let_374 true _let_9 true _let_11 false _let_13 false _let_14 false tptp.hskp23 false tptp.ndr1_0 true _let_195 true tptp.hskp5 true _let_193 true _let_88 true _let_329 false _let_367 false _let_231 true _let_66 false _let_68 false _let_69 false _let_125 false _let_70 false _let_380 false tptp.ndr1_0 false tptp.hskp8 false tptp.ndr1_0 true _let_196 true _let_194 true _let_192 false _let_8 false tptp.hskp28 false tptp.ndr1_0 true _let_185 true _let_183 true _let_676 true _let_25 true _let_27 false _let_29 false _let_30 false tptp.hskp19 false tptp.ndr1_0 true _let_675 true _let_381)) _let_674 _let_673 _let_573 _let_670 _let_568 _let_567 _let_564 _let_321 _let_563 _let_331 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_346 :args (tptp.a651 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_345)) :args _let_344)) (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_73 _let_71 _let_146 (not _let_147)))) _let_533 (MACRO_RESOLUTION_TRUST _let_484 _let_482 _let_485 _let_489 _let_459 _let_321 _let_445 _let_444 _let_443 _let_490 _let_669 _let_441 _let_491 _let_321 _let_668 _let_547 _let_495 _let_667 _let_463 _let_320 _let_500 _let_499 _let_498 _let_469 (MACRO_RESOLUTION_TRUST _let_450 _let_448 _let_447 _let_446 :args ((or _let_316 _let_449) true _let_31 false _let_33 false _let_34)) _let_501 _let_470 _let_454 _let_666 _let_502 _let_321 _let_665 _let_321 _let_664 _let_321 _let_504 _let_663 _let_540 _let_539 _let_662 _let_661 _let_551 _let_660 _let_553 _let_536 _let_535 :args ((or tptp.hskp2 _let_534) false _let_244 true _let_227 false _let_368 false _let_125 false tptp.ndr1_0 true _let_20 false _let_22 false _let_23 false _let_212 true _let_126 false _let_24 false _let_309 false tptp.ndr1_0 true _let_224 false tptp.hskp20 true _let_263 true _let_220 true _let_124 true tptp.hskp18 true _let_266 true _let_79 false _let_81 true _let_122 true _let_35 false _let_82 false _let_88 false _let_247 false _let_223 false tptp.hskp6 false tptp.ndr1_0 false tptp.hskp5 false tptp.ndr1_0 false _let_219 false tptp.ndr1_0 true _let_218 true _let_217 true _let_116 true _let_115 true _let_184 true _let_114 true _let_216 true _let_118 true _let_215 true _let_38 false _let_40)) (REORDERING (CNF_AND_POS :args (_let_76 3)) :args ((or _let_72 _let_315))) (REORDERING (CNF_AND_POS :args (_let_76 2)) :args ((or _let_74 _let_315))) (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_75 _let_315))) _let_319 (MACRO_RESOLUTION_TRUST _let_669 _let_668 _let_459 _let_321 _let_667 _let_463 _let_499 _let_498 _let_469 _let_501 _let_470 _let_666 _let_502 _let_321 _let_665 _let_321 _let_664 _let_321 _let_504 _let_663 _let_540 _let_539 _let_662 _let_661 _let_660 _let_551 _let_553 _let_536 _let_535 _let_533 (MACRO_RESOLUTION_TRUST _let_405 _let_560 _let_410 _let_389 _let_414 _let_321 _let_645 _let_415 _let_318 _let_413 _let_650 _let_556 _let_409 _let_644 _let_531 (REORDERING (AND_ELIM _let_317 :args (63)) :args ((or tptp.hskp17 tptp.hskp28 _let_385 _let_199))) _let_321 _let_532 _let_321 _let_655 _let_654 _let_651 _let_541 :args ((or tptp.hskp2 tptp.hskp7 tptp.hskp17) true _let_186 false _let_184 false _let_53 false _let_182 false tptp.ndr1_0 false tptp.hskp14 true tptp.hskp0 true tptp.hskp1 true _let_111 true _let_106 false _let_180 false _let_163 false _let_198 false _let_160 false _let_199 false tptp.ndr1_0 false _let_308 false tptp.ndr1_0 true tptp.hskp28 true _let_8 false _let_192 false _let_194)) (MACRO_RESOLUTION_TRUST _let_318 _let_650 _let_645 _let_644 _let_533 _let_643 _let_553 _let_640 _let_551 _let_633 _let_632 _let_629 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_274)) :args ((or _let_272 _let_271 _let_273 _let_621))) _let_626 _let_625 _let_624 _let_623 :args ((or _let_283 _let_622 _let_621) true _let_273 false _let_270 true _let_272 true _let_280)) _let_620 _let_616 _let_615 _let_614 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_526 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_525)) :args _let_524)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_275 (= X15 X47)))) (AND_ELIM _let_317 :args (57)) _let_321 _let_514 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_92 _let_90 _let_264 _let_592))) _let_523 _let_518 _let_517 _let_516 :args ((or _let_515 _let_592 _let_520) false _let_253 true _let_90 true _let_92 true _let_94)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_591) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X33) true))))) :args _let_591)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_590)) :args _let_590)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_589) _let_269))) (REFL :args ((not _let_268))) :args _let_311)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_242 _let_239 _let_240 _let_587))) (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_242 _let_239 _let_241 _let_588))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_268 2)) (CONG (REFL :args (_let_268)) (MACRO_SR_PRED_INTRO :args ((= (not _let_239) _let_238))) :args _let_311)) :args ((or _let_238 _let_268))) (CNF_OR_NEG :args (_let_268 0)) :args ((or _let_268 _let_588 _let_587) true _let_240 false _let_238 true _let_242)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_506)) :args _let_505)) _let_504 _let_502 _let_321 _let_501 _let_500 _let_586 _let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_494 :args (tptp.a646 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_493)) :args _let_492)) _let_585 _let_584 _let_321 _let_470 _let_583 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_183 (= X20 X48)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_580 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_579)) :args _let_578)) (REORDERING (CNF_OR_POS :args (_let_261)) :args ((or _let_250 _let_258 _let_260 (not _let_261)))) (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_251 _let_250 _let_249 (not _let_252)))) (CNF_OR_NEG :args (_let_259 2)) (CNF_OR_NEG :args (_let_259 1)) (CNF_OR_NEG :args (_let_259 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_577)) :args _let_577)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_576) _let_257))) (REFL :args ((not _let_259))) :args _let_311)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_575) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 U) true))))) :args _let_575)) _let_574 _let_573 (MACRO_RESOLUTION_TRUST _let_569 (REORDERING (CNF_OR_POS :args (_let_256)) :args ((or _let_153 _let_152 _let_174 _let_565))) _let_568 _let_567 (CNF_OR_NEG :args (_let_154 0)) :args ((or _let_154 _let_566 _let_565) false _let_174 false _let_150 true _let_152 true _let_153)) _let_332 _let_321 _let_564 _let_321 _let_563 _let_330 (MACRO_RESOLUTION_TRUST _let_431 _let_430 _let_432 _let_423 _let_440 _let_321 _let_422 _let_421 _let_420 _let_417 _let_384 _let_388 _let_348 _let_347 :args ((or tptp.hskp2 tptp.hskp20 _let_561 _let_386) true _let_354 false _let_193 false _let_30 false _let_357 false tptp.ndr1_0 false tptp.hskp19 true tptp.hskp22 true _let_19 false _let_352 false _let_349 false _let_379 false _let_299 false _let_296)) _let_389 _let_560 _let_528 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_404 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_403)) :args _let_402)) _let_405 _let_410 _let_414 _let_321 _let_415 _let_413 _let_556 _let_555 _let_554 _let_409 (MACRO_RESOLUTION_TRUST _let_553 _let_551 _let_533 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_216 (= X4 X57)))) _let_532 _let_321 (AND_ELIM _let_317 :args (62)) _let_321 _let_531 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X29 X58)))) :args ((or tptp.hskp7 _let_160 _let_248) false _let_215 false _let_41 false _let_216 false tptp.hskp17 false tptp.ndr1_0 false (forall ((X57 $$unsorted)) (or (tptp.c1_1 X57) (tptp.c3_1 X57) (not (tptp.c2_1 X57)))) false tptp.ndr1_0 true _let_308 true (forall ((X58 $$unsorted)) (or (tptp.c1_1 X58) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58)))))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_219 (= X X59)))) _let_454 _let_450 _let_448 _let_447 _let_446 _let_320 _let_547 _let_441 (MACRO_RESOLUTION_TRUST _let_484 (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_226 _let_225 _let_228 _let_546))) _let_444 _let_443 :args ((or _let_442 _let_483 _let_546) true _let_227 false _let_22 false _let_23)) _let_482 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_392 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_393 _let_545 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_544 :args (tptp.a686 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_543)) :args _let_542)) _let_541 :args ((or tptp.hskp2 tptp.hskp7 _let_144) true _let_106 false tptp.hskp1 false _let_198 true tptp.hskp17 false _let_199 true _let_41 false _let_205 false _let_215 false _let_210 false _let_216 false _let_211 false _let_283 false _let_282 false _let_281 false _let_278 false _let_136 false _let_140 false _let_275 false (forall ((X47 $$unsorted)) (or (tptp.c1_1 X47) (tptp.c2_1 X47) (tptp.c3_1 X47))) false tptp.ndr1_0 true tptp.hskp4 true _let_96 false _let_274 false _let_269 false _let_268 false _let_267 false _let_116 false _let_218 false tptp.ndr1_0 true tptp.hskp6 true _let_82 false _let_139 false _let_266 false _let_265 false _let_263 false _let_262 false tptp.ndr1_0 true tptp.hskp5 true _let_88 true (forall ((X48 $$unsorted)) (or (tptp.c1_1 X48) (tptp.c2_1 X48) (not (tptp.c3_1 X48)))) true _let_183 true _let_261 false _let_249 true _let_258 true _let_250 true _let_251 true _let_259 true _let_257 false _let_208 false _let_159 true _let_256 false _let_193 false tptp.ndr1_0 false _let_155 false tptp.ndr1_0 true _let_154 true _let_255 true _let_148 true tptp.hskp14 true _let_53 false _let_254 false _let_252 false _let_186 false _let_184 false _let_182 false tptp.ndr1_0 true tptp.hskp0 true _let_111 false _let_180 false _let_176 false _let_173 false _let_163 false _let_160 true _let_248 true _let_219 true _let_247 true _let_31 false _let_33 false _let_34 false _let_35 false tptp.hskp18 true tptp.hskp20 true _let_24 false _let_244 false _let_243 false _let_237 false _let_231 false _let_229 false _let_194)) :args ((or tptp.hskp2 tptp.hskp7) true _let_224 false _let_126 false tptp.ndr1_0 true _let_220 true _let_124 true _let_79 false _let_81 true _let_122 false _let_82 false _let_88 false _let_223 false tptp.hskp6 false tptp.ndr1_0 false tptp.hskp5 false tptp.ndr1_0 false _let_219 false tptp.ndr1_0 true _let_218 true _let_217 true _let_116 true _let_115 true _let_184 true _let_114 true _let_118 true _let_216 true _let_215 true _let_38 false _let_40 false _let_41 false tptp.hskp17 true _let_125)) :args (tptp.hskp2 false _let_131 false _let_214 false _let_129 true _let_137 true _let_132 false _let_212 true _let_138 true _let_211 true _let_136 true _let_210 false _let_208 false _let_206 false _let_133 false _let_207 false _let_126 true _let_125 false _let_202 true _let_204 true _let_205 true _let_199 true _let_198 true _let_196 true _let_195 false _let_106 true _let_194 true _let_193 false tptp.hskp1 true _let_192 true tptp.hskp14 false _let_8 true _let_53 false tptp.hskp28 false tptp.ndr1_0 false _let_118 false _let_188 false _let_186 true _let_185 false _let_184 true _let_183 false _let_182 false tptp.ndr1_0 true _let_181 true tptp.hskp0 true _let_174 true _let_111 false _let_180 false _let_176 false _let_173 false _let_167 false _let_163 false _let_160 true tptp.hskp16 true _let_47 false _let_159 false _let_157 false _let_150 true _let_152 false _let_155 false tptp.ndr1_0 true _let_154 true _let_149 true _let_148 true _let_147 true tptp.hskp17 true _let_41 true _let_71 true _let_73 false _let_75 false _let_76 false tptp.hskp7)) :args (_let_101 false tptp.hskp2)) :args (_let_145 false _let_101)) :args (_let_144 true _let_143)))) (let ((_let_700 (not _let_128))) (let ((_let_701 (not _let_65))) (let ((_let_702 (not _let_59))) (let ((_let_703 (MACRO_RESOLUTION_TRUST _let_470 (MACRO_RESOLUTION_TRUST _let_469 (MACRO_RESOLUTION_TRUST _let_463 (MACRO_RESOLUTION_TRUST _let_614 (REORDERING (CNF_OR_NEG :args (_let_140 1)) :args ((or _let_213 _let_140))) (CNF_OR_NEG :args (_let_139 0)) _let_697 _let_603 _let_601 _let_600 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (tptp.a661 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_324)) :args _let_323)) (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_56 _let_54 _let_134 (not _let_135)))) (REORDERING (CNF_AND_POS :args (_let_59 3)) :args ((or _let_55 _let_702))) (REORDERING (CNF_AND_POS :args (_let_59 2)) :args ((or _let_57 _let_702))) (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_58 _let_702))) (AND_ELIM _let_317 :args (13)) (AND_ELIM _let_317 :args (49)) _let_321 (AND_ELIM _let_317 :args (12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_62 _let_60 _let_127 _let_700))) (REORDERING (CNF_AND_POS :args (_let_65 3)) :args ((or _let_61 _let_701))) (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_63 _let_701))) (REORDERING (CNF_AND_POS :args (_let_65 1)) :args ((or _let_64 _let_701))) :args ((or _let_701 _let_700) true _let_60 true _let_62 false _let_64)) _let_694 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_436 :args (tptp.a660 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_435)) :args _let_434)) _let_459 _let_321 _let_699 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_124 (= X23 X32)))) :args (_let_124 false _let_140 false _let_139 false _let_131 false _let_129 true _let_132 true _let_138 true _let_136 true _let_135 true _let_54 true _let_56 false _let_58 false _let_59 false tptp.hskp13 false tptp.ndr1_0 true tptp.hskp12 true _let_65 false _let_133 false _let_128 false _let_126 false tptp.ndr1_0 true _let_125 true (forall ((X32 $$unsorted)) (or (tptp.c0_1 X32) (tptp.c3_1 X32) (not (tptp.c1_1 X32)))))) :args (_let_122 false _let_124)) :args (_let_123 false _let_122)) :args (_let_89 true _let_88)))) (let ((_let_704 (or _let_48 _let_177 _let_179))) (let ((_let_705 (forall ((X37 $$unsorted)) (or (tptp.c0_1 X37) (not (tptp.c1_1 X37)) (not (tptp.c2_1 X37)))))) (let ((_let_706 (forall ((X13 $$unsorted)) (or (not (tptp.c1_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13)))))) (let ((_let_707 (not _let_1))) (let ((_let_708 (not _let_2))) (let ((_let_709 (not _let_3))) (let ((_let_710 (or _let_709 _let_708 _let_707))) (let ((_let_711 (forall ((X72 $$unsorted)) (or (tptp.c2_1 X72) (tptp.c3_1 X72) (not (tptp.c1_1 X72)))))) (let ((_let_712 (_let_706))) (let ((_let_713 (not _let_710))) (let ((_let_714 (not _let_4))) (let ((_let_715 (or _let_227 _let_20 _let_226))) (let ((_let_716 (or _let_273 _let_280 _let_271))) (let ((_let_717 (not _let_704))) (let ((_let_718 (MACRO_RESOLUTION_TRUST _let_533 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_476 _let_464 _let_684 _let_459 _let_321 _let_699 _let_475 _let_474 _let_511 _let_693 _let_472 _let_695 _let_471 _let_321 _let_639 _let_433 _let_638 _let_636 _let_689 _let_643 _let_691 _let_644 _let_692 _let_650 _let_649 _let_648 _let_647 _let_318 _let_645 _let_389 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_704)) :args ((or _let_48 _let_179 _let_177 _let_717))) _let_559 _let_396 _let_558 :args ((or _let_394 _let_717 _let_557) true _let_177 true _let_48 false _let_52)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_550 :args (tptp.a665 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_549)) :args _let_548)) _let_685 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_507 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 W) true))))) :args _let_505)) (REORDERING (CNF_OR_POS :args (_let_716)) :args ((or _let_280 _let_271 _let_273 (not _let_716)))) _let_626 _let_663 _let_625 _let_624 _let_623 _let_665 _let_321 _let_632 :args ((or tptp.hskp5 _let_216 _let_622) true _let_716 true _let_273 false _let_116 false _let_270 true _let_272 true _let_280 false _let_217 false tptp.ndr1_0 true _let_283)) _let_633 _let_629 _let_620 _let_616 _let_615 _let_600 (MACRO_RESOLUTION_TRUST _let_606 _let_586 _let_610 _let_491 _let_321 _let_696 _let_490 (MACRO_RESOLUTION_TRUST _let_485 (REORDERING (CNF_OR_POS :args (_let_715)) :args ((or _let_20 _let_226 _let_227 (not _let_715)))) _let_445 _let_444 _let_443 _let_441 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (tptp.a686 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)) _let_584 _let_321 _let_459 _let_321 _let_699 _let_585 _let_694 _let_586 _let_697 _let_605 _let_611 _let_613 _let_489 :args ((or tptp.hskp5 (not _let_212) _let_132 _let_137 _let_130) false _let_227 true _let_20 false _let_22 false _let_23 false _let_24 false _let_715 false tptp.hskp20 false tptp.ndr1_0 false _let_124 false tptp.ndr1_0 true _let_125 true _let_262 true _let_126 true _let_263 true _let_133 true _let_139 true _let_131 false _let_214 false _let_368)) _let_603 _let_602 _let_601 :args ((or tptp.hskp5 _let_138 _let_617) false _let_139 false _let_594 false _let_263 false tptp.ndr1_0 false _let_211 true _let_309 true _let_212 false _let_129 true _let_137 true _let_132)) _let_556 _let_554 _let_686 (MACRO_RESOLUTION_TRUST _let_673 _let_674 _let_670 _let_683 _let_321 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_155 (= X7 X72)))) _let_682 (REORDERING (AND_ELIM _let_317 :args (72)) :args ((or tptp.hskp5 tptp.hskp29 _let_385 _let_711))) _let_321 _let_681 (AND_ELIM _let_317 :args (29)) _let_655 _let_680 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_710)) :args ((or _let_709 _let_708 _let_707 _let_713))) (REORDERING (CNF_AND_POS :args (_let_4 3)) :args ((or _let_1 _let_714))) (REORDERING (CNF_AND_POS :args (_let_4 2)) :args ((or _let_2 _let_714))) (REORDERING (CNF_AND_POS :args (_let_4 1)) :args ((or _let_3 _let_714))) :args ((or _let_714 _let_713) false _let_1 false _let_2 false _let_3)) _let_654 _let_427 _let_426 _let_425 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_712) :args (tptp.a688 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X13) false))))) :args _let_712)) _let_651 _let_423 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_706 (= X13 X39)))) _let_310 _let_679 _let_321 (AND_ELIM _let_317 :args (52)) _let_321 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_125 (= X24 X37)))) _let_699 :args ((not _let_705) true _let_125)) _let_398 _let_321 (MACRO_RESOLUTION_TRUST _let_397 _let_699 :args ((not _let_380) true _let_125)) _let_678 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_160 (= X29 X38)))) _let_401 :args ((or tptp.hskp5 tptp.hskp17 _let_160) false _let_47 false _let_157 false tptp.hskp16 false tptp.ndr1_0 false _let_155 true _let_185 false _let_711 false tptp.ndr1_0 true _let_183 true tptp.hskp29 true tptp.hskp28 true _let_676 true _let_4 true _let_8 true _let_25 true _let_27 false _let_29 false _let_710 false _let_192 false _let_30 false _let_706 false _let_194 false tptp.hskp19 false tptp.ndr1_0 false (forall ((X39 $$unsorted)) (or (not (tptp.c1_1 X39)) (not (tptp.c2_1 X39)) (not (tptp.c3_1 X39)))) false tptp.ndr1_0 true _let_705 false _let_196 false tptp.ndr1_0 true _let_380 true _let_675 true (forall ((X38 $$unsorted)) (or (tptp.c1_1 X38) (not (tptp.c2_1 X38)) (not (tptp.c3_1 X38)))) true _let_381)) :args ((or tptp.hskp5 tptp.hskp17) false _let_458 false _let_187 false _let_124 false tptp.ndr1_0 true _let_125 true _let_9 true _let_11 false _let_13 true _let_126 false _let_14 true _let_207 false tptp.hskp23 false tptp.ndr1_0 true _let_206 true _let_195 false _let_202 true _let_204 true _let_193 true _let_205 true _let_687 true _let_199 true _let_165 true _let_198 true _let_102 false _let_104 false _let_105 false _let_106 false tptp.hskp1 true tptp.hskp14 true _let_53 false _let_704 false _let_677 false _let_216 false _let_210 false _let_211 false _let_282 false _let_281 false _let_278 false _let_136 false _let_138 false _let_180 false _let_173 false _let_167 false _let_160)) _let_703 :args (tptp.hskp17 true tptp.hskp5)) :args (_let_41 false tptp.hskp17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_540 (MACRO_RESOLUTION_TRUST _let_663 (MACRO_RESOLUTION_TRUST _let_665 _let_703 _let_321 (MACRO_RESOLUTION_TRUST _let_551 (MACRO_RESOLUTION_TRUST _let_553 _let_718 :args (_let_552 false _let_41)) :args (_let_630 true _let_215)) :args (_let_217 true tptp.hskp5 false tptp.ndr1_0 true _let_216)) :args (_let_116 false _let_217)) (MACRO_RESOLUTION_TRUST _let_539 (MACRO_RESOLUTION_TRUST _let_536 _let_718 :args (_let_39 false _let_41)) (MACRO_RESOLUTION_TRUST _let_535 _let_718 :args (_let_40 false _let_41)) (MACRO_RESOLUTION_TRUST _let_661 (MACRO_RESOLUTION_TRUST _let_660 _let_718 :args (_let_120 false _let_41)) :args (_let_119 true _let_118)) :args (_let_117 true _let_38 false _let_40 true _let_114)) :args (false false _let_116 true _let_115)) :args (_let_112 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.77  )
% 0.23/0.77  % SZS output end Proof for SYN450+1
% 0.23/0.77  % cvc5---1.0.5 exiting
% 0.23/0.77  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------