TSTP Solution File: SYN512+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN512+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 02:03:48 EDT 2023

% Result   : Theorem 0.55s 0.74s
% Output   : Proof 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN512+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 16:53:54 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.55/0.74  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.UbGtC92llv/cvc5---1.0.5_9090.p...
% 0.55/0.74  ------- get file name : TPTP file name is SYN512+1
% 0.55/0.74  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9090.smt2...
% 0.55/0.74  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.55/0.74  % SZS status Theorem for SYN512+1
% 0.55/0.74  % SZS output start Proof for SYN512+1
% 0.55/0.74  (
% 0.55/0.74  (let ((_let_1 (tptp.c3_1 tptp.a875))) (let ((_let_2 (tptp.c2_1 tptp.a875))) (let ((_let_3 (tptp.c0_1 tptp.a875))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.c3_1 tptp.a857))) (let ((_let_6 (tptp.c2_1 tptp.a857))) (let ((_let_7 (tptp.c1_1 tptp.a857))) (let ((_let_8 (and tptp.ndr1_0 _let_7 _let_6 _let_5))) (let ((_let_9 (tptp.c2_1 tptp.a849))) (let ((_let_10 (tptp.c1_1 tptp.a849))) (let ((_let_11 (tptp.c0_1 tptp.a849))) (let ((_let_12 (and tptp.ndr1_0 _let_11 _let_10 _let_9))) (let ((_let_13 (tptp.c3_1 tptp.a890))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c0_1 tptp.a890))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c2_1 tptp.a890))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_16 _let_14))) (let ((_let_19 (tptp.c2_1 tptp.a884))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c3_1 tptp.a884))) (let ((_let_22 (tptp.c1_1 tptp.a884))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_20))) (let ((_let_24 (tptp.c2_1 tptp.a863))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c3_1 tptp.a863))) (let ((_let_27 (tptp.c0_1 tptp.a863))) (let ((_let_28 (and tptp.ndr1_0 _let_27 _let_26 _let_25))) (let ((_let_29 (tptp.c1_1 tptp.a861))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c2_1 tptp.a861))) (let ((_let_32 (tptp.c0_1 tptp.a861))) (let ((_let_33 (and tptp.ndr1_0 _let_32 _let_31 _let_30))) (let ((_let_34 (tptp.c3_1 tptp.a859))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.c1_1 tptp.a859))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.c0_1 tptp.a859))) (let ((_let_39 (and tptp.ndr1_0 _let_38 _let_37 _let_35))) (let ((_let_40 (tptp.c2_1 tptp.a858))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.c1_1 tptp.a858))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c0_1 tptp.a858))) (let ((_let_45 (not _let_44))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_43 _let_41))) (let ((_let_47 (tptp.c2_1 tptp.a846))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.c0_1 tptp.a846))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.c3_1 tptp.a846))) (let ((_let_52 (and tptp.ndr1_0 _let_51 _let_50 _let_48))) (let ((_let_53 (tptp.c2_1 tptp.a844))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.c1_1 tptp.a844))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.c3_1 tptp.a844))) (let ((_let_58 (and tptp.ndr1_0 _let_57 _let_56 _let_54))) (let ((_let_59 (tptp.c2_1 tptp.a841))) (let ((_let_60 (not _let_59))) (let ((_let_61 (tptp.c1_1 tptp.a841))) (let ((_let_62 (tptp.c0_1 tptp.a841))) (let ((_let_63 (and tptp.ndr1_0 _let_62 _let_61 _let_60))) (let ((_let_64 (tptp.c1_1 tptp.a836))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.c3_1 tptp.a836))) (let ((_let_67 (tptp.c0_1 tptp.a836))) (let ((_let_68 (and tptp.ndr1_0 _let_67 _let_66 _let_65))) (let ((_let_69 (tptp.c3_1 tptp.a835))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.c2_1 tptp.a835))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.c0_1 tptp.a835))) (let ((_let_74 (not _let_73))) (let ((_let_75 (and tptp.ndr1_0 _let_74 _let_72 _let_70))) (let ((_let_76 (tptp.c3_1 tptp.a833))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.c2_1 tptp.a833))) (let ((_let_79 (tptp.c0_1 tptp.a833))) (let ((_let_80 (and tptp.ndr1_0 _let_79 _let_78 _let_77))) (let ((_let_81 (tptp.c3_1 tptp.a832))) (let ((_let_82 (not _let_81))) (let ((_let_83 (tptp.c2_1 tptp.a832))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.c1_1 tptp.a832))) (let ((_let_86 (not _let_85))) (let ((_let_87 (and tptp.ndr1_0 _let_86 _let_84 _let_82))) (let ((_let_88 (tptp.c1_1 tptp.a831))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.c3_1 tptp.a831))) (let ((_let_91 (tptp.c2_1 tptp.a831))) (let ((_let_92 (and tptp.ndr1_0 _let_91 _let_90 _let_89))) (let ((_let_93 (tptp.c2_1 tptp.a830))) (let ((_let_94 (not _let_93))) (let ((_let_95 (tptp.c1_1 tptp.a830))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.c0_1 tptp.a830))) (let ((_let_98 (and tptp.ndr1_0 _let_97 _let_96 _let_94))) (let ((_let_99 (tptp.c3_1 tptp.a829))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.c1_1 tptp.a829))) (let ((_let_102 (not _let_101))) (let ((_let_103 (tptp.c0_1 tptp.a829))) (let ((_let_104 (not _let_103))) (let ((_let_105 (and tptp.ndr1_0 _let_104 _let_102 _let_100))) (let ((_let_106 (and tptp.ndr1_0 (tptp.c1_1 tptp.a828) (tptp.c2_1 tptp.a828) (not (tptp.c0_1 tptp.a828))))) (let ((_let_107 (not (not (and (or (not tptp.hskp0) _let_106) (or (not tptp.hskp1) _let_105) (or (not tptp.hskp2) _let_98) (or (not tptp.hskp3) _let_92) (or (not tptp.hskp4) _let_87) (or (not tptp.hskp5) _let_80) (or (not tptp.hskp6) _let_75) (or (not tptp.hskp7) _let_68) (or (not tptp.hskp8) (and tptp.ndr1_0 (tptp.c1_1 tptp.a838) (not (tptp.c2_1 tptp.a838)) (not (tptp.c3_1 tptp.a838)))) (or (not tptp.hskp9) _let_63) (or (not tptp.hskp10) (and tptp.ndr1_0 (tptp.c1_1 tptp.a843) (not (tptp.c0_1 tptp.a843)) (not (tptp.c3_1 tptp.a843)))) (or (not tptp.hskp11) _let_58) (or (not tptp.hskp12) (and tptp.ndr1_0 (tptp.c3_1 tptp.a845) (not (tptp.c0_1 tptp.a845)) (not (tptp.c1_1 tptp.a845)))) (or (not tptp.hskp13) _let_52) (or (not tptp.hskp14) (and tptp.ndr1_0 (tptp.c1_1 tptp.a851) (tptp.c2_1 tptp.a851) (not (tptp.c3_1 tptp.a851)))) (or (not tptp.hskp15) (and tptp.ndr1_0 (tptp.c1_1 tptp.a853) (tptp.c3_1 tptp.a853) (not (tptp.c0_1 tptp.a853)))) (or (not tptp.hskp16) _let_46) (or (not tptp.hskp17) _let_39) (or (not tptp.hskp18) _let_33) (or (not tptp.hskp19) _let_28) (or (not tptp.hskp20) (and tptp.ndr1_0 (tptp.c1_1 tptp.a864) (not (tptp.c0_1 tptp.a864)) (not (tptp.c2_1 tptp.a864)))) (or (not tptp.hskp21) (and tptp.ndr1_0 (tptp.c2_1 tptp.a865) (not (tptp.c0_1 tptp.a865)) (not (tptp.c1_1 tptp.a865)))) (or (not tptp.hskp22) (and tptp.ndr1_0 (tptp.c0_1 tptp.a866) (tptp.c1_1 tptp.a866) (not (tptp.c3_1 tptp.a866)))) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c2_1 tptp.a868) (not (tptp.c1_1 tptp.a868)) (not (tptp.c3_1 tptp.a868)))) (or (not tptp.hskp24) _let_23) (or (not tptp.hskp25) _let_18) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a901) (not (tptp.c2_1 tptp.a901)) (not (tptp.c3_1 tptp.a901)))) (or (not tptp.hskp27) (and tptp.ndr1_0 (tptp.c2_1 tptp.a919) (tptp.c3_1 tptp.a919) (not (tptp.c0_1 tptp.a919)))) (or (not tptp.hskp28) (and tptp.ndr1_0 (tptp.c0_1 tptp.a839) (tptp.c1_1 tptp.a839) (tptp.c3_1 tptp.a839))) (or (not tptp.hskp29) _let_12) (or (not tptp.hskp30) _let_8) (or (not tptp.hskp31) _let_4) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c2_1 V) (tptp.c3_1 V)))) tptp.hskp0) (or (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c1_1 W) (tptp.c2_1 W)))) (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X) (tptp.c2_1 X) (not (tptp.c3_1 X))))) tptp.hskp1) (or (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y)))) (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z))))) tptp.hskp2) (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 (not (tptp.c0_1 X2)) (not (tptp.c2_1 X2)) (not (tptp.c3_1 X2))))) tptp.hskp3) (or (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c1_1 X3) (tptp.c2_1 X3)))) (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X4)) (not (tptp.c2_1 X4)) (not (tptp.c3_1 X4))))) tptp.hskp4) (or (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X5) (tptp.c1_1 X5) (tptp.c2_1 X5)))) tptp.hskp5 tptp.hskp4) (or (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c3_1 X6)))) (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X7) (tptp.c2_1 X7) (not (tptp.c0_1 X7))))) tptp.hskp6) (or (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c1_1 X8) (tptp.c3_1 X8)))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X9) (not (tptp.c1_1 X9)) (not (tptp.c3_1 X9))))) tptp.hskp7) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (tptp.c3_1 X10)))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X11)) (not (tptp.c2_1 X11)) (not (tptp.c3_1 X11))))) tptp.hskp5) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (tptp.c3_1 X12)))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X13)) (not (tptp.c2_1 X13)) (not (tptp.c3_1 X13))))) tptp.hskp8) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c1_1 X14) (tptp.c3_1 X14)))) tptp.hskp28 tptp.hskp1) (or (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X15) (tptp.c1_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp9 tptp.hskp0) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c3_1 X16))))) (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (not (tptp.c1_1 X17)) (not (tptp.c2_1 X17))))) (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X18)) (not (tptp.c2_1 X18)) (not (tptp.c3_1 X18)))))) (or (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X19) (tptp.c2_1 X19) (tptp.c3_1 X19)))) (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X20) (tptp.c3_1 X20) (not (tptp.c0_1 X20))))) tptp.hskp10) (or (forall ((X21 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X21) (tptp.c2_1 X21) (tptp.c3_1 X21)))) (forall ((X22 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22))))) tptp.hskp11) (or (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X23) (tptp.c2_1 X23) (tptp.c3_1 X23)))) tptp.hskp12 tptp.hskp13) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) tptp.hskp11 tptp.hskp4) (or (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (tptp.c2_1 X25) (not (tptp.c1_1 X25))))) tptp.hskp29 tptp.hskp3) (or (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X26) (tptp.c2_1 X26) (not (tptp.c1_1 X26))))) tptp.hskp14 tptp.hskp12) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c3_1 X27))))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (not (tptp.c0_1 X28)) (not (tptp.c1_1 X28))))) tptp.hskp15) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29))))) (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X30) (not (tptp.c0_1 X30)) (not (tptp.c1_1 X30))))) tptp.hskp29) (or (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (tptp.c2_1 X31) (not (tptp.c3_1 X31))))) (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X32) (not (tptp.c0_1 X32)) (not (tptp.c2_1 X32))))) tptp.hskp4) (or (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (tptp.c2_1 X33) (not (tptp.c3_1 X33))))) (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X34)) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34))))) tptp.hskp2) (or (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X35) (tptp.c2_1 X35) (not (tptp.c3_1 X35))))) tptp.hskp30 tptp.hskp16) (or (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X36) (tptp.c3_1 X36) (not (tptp.c1_1 X36))))) tptp.hskp17 tptp.hskp4) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c3_1 X37) (not (tptp.c2_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X38) (not (tptp.c1_1 X38)) (not (tptp.c3_1 X38))))) tptp.hskp18) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c3_1 X39) (not (tptp.c2_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X40)) (not (tptp.c1_1 X40)) (not (tptp.c3_1 X40))))) tptp.hskp11) (or (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X41) (tptp.c3_1 X41) (not (tptp.c2_1 X41))))) tptp.hskp19 tptp.hskp20) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (not (tptp.c1_1 X42)) (not (tptp.c2_1 X42))))) (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X43) (tptp.c2_1 X43) (not (tptp.c3_1 X43))))) tptp.hskp21) (or (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X44) (not (tptp.c1_1 X44)) (not (tptp.c2_1 X44))))) (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X45) (tptp.c3_1 X45) (not (tptp.c0_1 X45))))) (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X46)) (not (tptp.c2_1 X46)) (not (tptp.c3_1 X46)))))) (or (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c1_1 X47)) (not (tptp.c2_1 X47))))) tptp.hskp22 tptp.hskp19) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (not (tptp.c1_1 X48)) (not (tptp.c3_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (tptp.c3_1 X49) (not (tptp.c0_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X50) (not (tptp.c1_1 X50)) (not (tptp.c3_1 X50)))))) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c3_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52)) (not (tptp.c3_1 X52))))) tptp.hskp23) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c2_1 X53)) (not (tptp.c3_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (not (tptp.c0_1 X54)) (not (tptp.c3_1 X54))))) tptp.hskp5) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55))))) tptp.hskp2 tptp.hskp12) (or (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c2_1 X56) (tptp.c3_1 X56)))) (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X57) (not (tptp.c0_1 X57)) (not (tptp.c2_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X58) (not (tptp.c0_1 X58)) (not (tptp.c2_1 X58)))))) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X59) (tptp.c2_1 X59) (tptp.c3_1 X59)))) (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X60) (not (tptp.c0_1 X60)) (not (tptp.c1_1 X60))))) tptp.hskp29) (or (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X61) (tptp.c2_1 X61) (tptp.c3_1 X61)))) tptp.hskp9 tptp.hskp2) (or (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X62) (tptp.c2_1 X62) (tptp.c3_1 X62)))) tptp.hskp31 tptp.hskp19) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c0_1 X63))))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c3_1 X64))))) tptp.hskp3) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (not (tptp.c0_1 X65))))) (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X66) (not (tptp.c0_1 X66)) (not (tptp.c1_1 X66))))) tptp.hskp17) (or (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c2_1 X67) (not (tptp.c0_1 X67))))) (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X68) (not (tptp.c0_1 X68)) (not (tptp.c2_1 X68))))) tptp.hskp14) (or (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (tptp.c2_1 X69) (not (tptp.c0_1 X69))))) tptp.hskp9 tptp.hskp7) (or (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X70) (tptp.c2_1 X70) (not (tptp.c0_1 X70))))) tptp.hskp19 tptp.hskp11) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c3_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (tptp.c3_1 X72) (not (tptp.c0_1 X72))))) tptp.hskp24) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c3_1 X73))))) (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (tptp.c3_1 X74) (not (tptp.c0_1 X74))))) tptp.hskp13) (or (forall ((X75 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X75) (tptp.c2_1 X75) (not (tptp.c3_1 X75))))) (forall ((X76 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X76) (not (tptp.c1_1 X76)) (not (tptp.c3_1 X76))))) tptp.hskp17) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (tptp.c2_1 X77) (not (tptp.c3_1 X77))))) tptp.hskp28 tptp.hskp3) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c0_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (not (tptp.c0_1 X79)) (not (tptp.c1_1 X79))))) tptp.hskp31) (or (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X80) (tptp.c3_1 X80) (not (tptp.c0_1 X80))))) (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X81)) (not (tptp.c2_1 X81)) (not (tptp.c3_1 X81))))) tptp.hskp25) (or (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X82) (tptp.c3_1 X82) (not (tptp.c2_1 X82))))) tptp.hskp28 tptp.hskp7) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (not (tptp.c0_1 X83)) (not (tptp.c2_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X84) (not (tptp.c1_1 X84)) (not (tptp.c2_1 X84))))) tptp.hskp28) (or (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c3_1 X85))))) (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c2_1 X86))))) tptp.hskp30) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (not (tptp.c0_1 X87)) (not (tptp.c3_1 X87))))) tptp.hskp22 tptp.hskp8) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (not (tptp.c0_1 X88)) (not (tptp.c3_1 X88))))) tptp.hskp13 tptp.hskp1) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (not (tptp.c2_1 X89)) (not (tptp.c3_1 X89))))) tptp.hskp5 tptp.hskp16) (or (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X90) (tptp.c3_1 X90) (not (tptp.c0_1 X90))))) tptp.hskp26 tptp.hskp20) (or (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X91) (tptp.c3_1 X91) (not (tptp.c0_1 X91))))) tptp.hskp0 tptp.hskp3) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X92) (tptp.c3_1 X92) (not (tptp.c1_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X93) (not (tptp.c1_1 X93)) (not (tptp.c2_1 X93))))) tptp.hskp17) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X94) (not (tptp.c0_1 X94)) (not (tptp.c1_1 X94))))) tptp.hskp24 tptp.hskp4) (or (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c3_1 X95))))) (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X96)) (not (tptp.c1_1 X96)) (not (tptp.c2_1 X96))))) tptp.hskp14) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X97) (not (tptp.c0_1 X97)) (not (tptp.c3_1 X97))))) (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X98)) (not (tptp.c1_1 X98)) (not (tptp.c3_1 X98))))) tptp.hskp25) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X99) (not (tptp.c0_1 X99)) (not (tptp.c3_1 X99))))) (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X100)) (not (tptp.c2_1 X100)) (not (tptp.c3_1 X100))))) tptp.hskp18) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X101) (not (tptp.c0_1 X101)) (not (tptp.c3_1 X101))))) tptp.hskp19 tptp.hskp0) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X102) (not (tptp.c0_1 X102)) (not (tptp.c1_1 X102))))) tptp.hskp22 tptp.hskp4) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c2_1 X103))))) tptp.hskp16 tptp.hskp6) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X104)) (not (tptp.c1_1 X104)) (not (tptp.c2_1 X104))))) tptp.hskp29 tptp.hskp8) (or (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X105)) (not (tptp.c1_1 X105)) (not (tptp.c3_1 X105))))) tptp.hskp27 tptp.hskp25) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X106)) (not (tptp.c1_1 X106)) (not (tptp.c3_1 X106))))) tptp.hskp25 tptp.hskp1) (or tptp.hskp28 tptp.hskp10) (or tptp.hskp9 tptp.hskp22 tptp.hskp6) (or tptp.hskp9 tptp.hskp14 tptp.hskp4) (or tptp.hskp31 tptp.hskp8 tptp.hskp16) (or tptp.hskp7 tptp.hskp10 tptp.hskp21) (or tptp.hskp7 tptp.hskp21) (or tptp.hskp19 tptp.hskp30 tptp.hskp23) (or tptp.hskp2 tptp.hskp17 tptp.hskp16) (or tptp.hskp0 tptp.hskp11 tptp.hskp1) (or tptp.hskp14 tptp.hskp21)))))) (let ((_let_108 (not _let_106))) (let ((_let_109 (forall ((X $$unsorted)) (or (tptp.c1_1 X) (tptp.c2_1 X) (not (tptp.c3_1 X)))))) (let ((_let_110 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_113 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_114 (or _let_113 _let_112 _let_111))) (let ((_let_115 (or _let_85 _let_83 _let_81))) (let ((_let_116 (forall ((X56 $$unsorted)) (or (tptp.c1_1 X56) (tptp.c2_1 X56) (tptp.c3_1 X56))))) (let ((_let_117 (forall ((X61 $$unsorted)) (or (tptp.c1_1 X61) (tptp.c2_1 X61) (tptp.c3_1 X61))))) (let ((_let_118 (forall ((X6 $$unsorted)) (or (tptp.c0_1 X6) (tptp.c1_1 X6) (tptp.c3_1 X6))))) (let ((_let_119 (forall ((X63 $$unsorted)) (or (tptp.c1_1 X63) (tptp.c2_1 X63) (not (tptp.c0_1 X63)))))) (let ((_let_120 (forall ((X7 $$unsorted)) (or (tptp.c1_1 X7) (tptp.c2_1 X7) (not (tptp.c0_1 X7)))))) (let ((_let_121 (not _let_97))) (let ((_let_122 (or _let_95 _let_93 _let_121))) (let ((_let_123 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_113 _let_112 _let_124))) (let ((_let_126 (forall ((X34 $$unsorted)) (or (not (tptp.c0_1 X34)) (not (tptp.c1_1 X34)) (not (tptp.c2_1 X34)))))) (let ((_let_127 (forall ((X22 $$unsorted)) (or (not (tptp.c0_1 X22)) (not (tptp.c1_1 X22)) (not (tptp.c2_1 X22)))))) (let ((_let_128 (or _let_123 _let_112 _let_111))) (let ((_let_129 (or _let_123 _let_113 _let_112))) (let ((_let_130 (not _let_9))) (let ((_let_131 (not _let_10))) (let ((_let_132 (not _let_11))) (let ((_let_133 (or _let_132 _let_131 _let_130))) (let ((_let_134 (forall ((X27 $$unsorted)) (or (tptp.c0_1 X27) (tptp.c2_1 X27) (not (tptp.c3_1 X27)))))) (let ((_let_135 (forall ((U $$unsorted)) (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U))))) (let ((_let_136 (forall ((Z $$unsorted)) (or (tptp.c2_1 Z) (not (tptp.c1_1 Z)) (not (tptp.c3_1 Z)))))) (let ((_let_137 (forall ((X30 $$unsorted)) (or (tptp.c3_1 X30) (not (tptp.c0_1 X30)) (not (tptp.c1_1 X30)))))) (let ((_let_138 (tptp.c3_1 tptp.a841))) (let ((_let_139 (not _let_138))) (let ((_let_140 (not _let_61))) (let ((_let_141 (or _let_59 _let_140 _let_139))) (let ((_let_142 (not _let_62))) (let ((_let_143 (or _let_138 _let_142 _let_140))) (let ((_let_144 (not tptp.ndr1_0))) (let ((_let_145 (tptp.c3_1 tptp.a858))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_42 _let_40 _let_146))) (let ((_let_148 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_151 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_152 (or _let_151 _let_150 _let_149))) (let ((_let_153 (not _let_26))) (let ((_let_154 (tptp.c1_1 tptp.a863))) (let ((_let_155 (or _let_154 _let_24 _let_153))) (let ((_let_156 (not _let_57))) (let ((_let_157 (or _let_55 _let_53 _let_156))) (let ((_let_158 (forall ((X70 $$unsorted)) (or (tptp.c1_1 X70) (tptp.c2_1 X70) (not (tptp.c0_1 X70)))))) (let ((_let_159 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_162 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_163 (or _let_162 _let_161 _let_160))) (let ((_let_164 (or _let_42 _let_40 _let_145))) (let ((_let_165 (forall ((X62 $$unsorted)) (or (tptp.c1_1 X62) (tptp.c2_1 X62) (tptp.c3_1 X62))))) (let ((_let_166 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_167 (or _let_162 _let_161 _let_166))) (let ((_let_168 (not _let_1))) (let ((_let_169 (not _let_2))) (let ((_let_170 (not _let_3))) (let ((_let_171 (or _let_170 _let_169 _let_168))) (let ((_let_172 (or _let_159 _let_162 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(SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_390)) :args _let_223)))) (let ((_let_392 (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_113 _let_112 _let_123 (not _let_129)))))) (let ((_let_393 (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_113 _let_112 _let_124 (not _let_125)))))) (let ((_let_394 (REORDERING (CNF_OR_POS :args (_let_386)) :args ((or _let_112 _let_111 _let_124 (not _let_386)))))) (let ((_let_395 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_301 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_300)) :args _let_299)))) (let ((_let_396 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_282)) :args _let_281)))) (let ((_let_397 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_120 (= X7 X63)))))) (let ((_let_398 (AND_ELIM _let_182 :args (71)))) (let ((_let_399 (AND_ELIM _let_182 :args (3)))) (let ((_let_400 (not _let_92))) (let ((_let_401 (REORDERING (CNF_AND_POS :args (_let_92 1)) :args ((or _let_91 _let_400))))) (let ((_let_402 (REORDERING (CNF_AND_POS :args (_let_92 2)) :args ((or _let_90 _let_400))))) (let ((_let_403 (MACRO_RESOLUTION_TRUST _let_206 _let_202 :args ((or _let_201 _let_204) false _let_79)))) (let ((_let_404 (_let_134))) (let ((_let_405 (ASSUME :args _let_404))) (let ((_let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X27) true))))) :args _let_404)))) (let ((_let_407 (not _let_376))) (let ((_let_408 (not _let_52))) (let ((_let_409 (_let_376))) (let ((_let_410 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_409) :args ((or _let_49 _let_47 _let_375 _let_407))) (REORDERING (CNF_AND_POS :args (_let_52 3)) :args ((or _let_48 _let_408))) (REORDERING (CNF_AND_POS :args (_let_52 2)) :args ((or _let_50 _let_408))) (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_51 _let_408))) :args ((or _let_408 _let_407) true _let_47 true _let_49 false _let_51)))) (let ((_let_411 (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_112 _let_111 _let_123 (not _let_128)))))) (let ((_let_412 (AND_ELIM _let_182 :args (13)))) (let ((_let_413 (AND_ELIM _let_182 :args (77)))) (let ((_let_414 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_378 (= X72 X74)))))) (let ((_let_415 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_120 (= X7 X65)))))) (let ((_let_416 (_let_378))) (let ((_let_417 ((not (= (tptp.c1_1 X72) true))))) (let ((_let_418 (ASSUME :args _let_416))) (let ((_let_419 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_418 :args (tptp.a859 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_417)) :args _let_416)))) (let ((_let_420 (not _let_381))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_381)) :args ((or _let_36 _let_34 _let_302 _let_420))) _let_356 _let_347 _let_346 :args ((or _let_345 _let_420) true _let_34 true _let_36 false _let_38)))) (let ((_let_422 (REORDERING (CNF_OR_POS :args (_let_382)) :args ((or _let_76 _let_185 _let_195 (not _let_382)))))) (let ((_let_423 (_let_137))) (let ((_let_424 ((not (= (tptp.c3_1 X30) true))))) (let ((_let_425 (ASSUME :args _let_423))) (let ((_let_426 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_425 :args (tptp.a833 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_424)) :args _let_423)))) (let ((_let_427 (AND_ELIM _let_182 :args (72)))) (let ((_let_428 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_137 (= X30 X66)))))) (let ((_let_429 (MACRO_RESOLUTION_TRUST _let_428 _let_427 _let_426 _let_323 _let_422 _let_421 (REORDERING (CNF_OR_POS :args (_let_380)) :args ((or _let_76 _let_185 _let_194 (not _let_380)))) _let_419 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_418 :args (tptp.a833 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_417)) :args _let_416)) _let_415 _let_414 _let_395 _let_413 _let_393 _let_412 _let_411 _let_410 _let_406 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_405 :args (tptp.a846 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X27) 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_let_518 _let_514 _let_515 (not _let_527)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_468 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 Z) false))))) :args _let_466)) (REORDERING (CNF_OR_POS :args (_let_519)) :args ((or _let_518 _let_514 _let_516 _let_528))) _let_472 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_526 2)) (CONG _let_531 (MACRO_SR_PRED_INTRO :args ((= (not _let_514) _let_513))) :args _let_228)) :args ((or _let_513 _let_526))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_526 1)) (CONG _let_531 (MACRO_SR_PRED_INTRO :args ((= (not _let_518) _let_517))) :args _let_228)) :args ((or _let_517 _let_526))) _let_474 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_530)) :args _let_530)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_529) _let_443))) (REFL :args ((not _let_526))) :args _let_228)) _let_473 :args ((or _let_144 _let_443 _let_435 _let_528) false _let_527 true _let_515 false _let_136 false _let_513 false _let_517 false _let_444 true _let_526 true _let_445)) _let_410 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_525 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_524)) :args _let_523)) _let_412 _let_522 _let_413 _let_521 _let_414 _let_454 _let_520 _let_452 _let_451 _let_396 _let_448 _let_447 _let_394 (REORDERING (CNF_OR_POS :args (_let_512)) :args ((or _let_162 _let_161 _let_159 (not _let_512)))) _let_392 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_390)) :args _let_223)) _let_391 _let_456 _let_371 _let_372 _let_373 _let_370 _let_364 _let_363 _let_365 _let_362 _let_263 _let_262 _let_259 _let_429 _let_384 _let_368 :args ((or tptp.hskp18 _let_144 _let_229) true _let_442 false _let_443 true _let_376 false _let_519 false _let_52 false _let_505 false tptp.hskp13 false _let_506 true _let_377 true _let_435 true _let_507 true _let_378 true _let_434 true _let_267 true _let_432 true _let_431 true _let_386 false _let_159 false _let_123 false _let_512 false _let_129 false _let_437 true _let_113 true _let_112 false _let_110 true _let_114 true _let_161 true _let_162 true _let_166 true _let_167 true _let_116 true _let_115 false _let_87 false tptp.hskp4 true _let_374 true _let_109)) _let_428 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_127 (= X22 X86)))) _let_511 _let_426 _let_248 _let_422 _let_243 (AND_ELIM _let_182 :args (18)) _let_239 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_490)) :args ((or _let_29 _let_489 _let_488 _let_509))) (REORDERING (CNF_AND_POS :args (_let_33 3)) :args ((or _let_30 _let_510))) (REORDERING (CNF_AND_POS :args (_let_33 2)) :args ((or _let_31 _let_510))) (REORDERING (CNF_AND_POS :args (_let_33 1)) :args ((or _let_32 _let_510))) :args ((or _let_510 _let_509) true _let_29 false _let_31 false _let_32)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_508)) :args _let_236)) _let_238 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (tptp.a861 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_508)) :args _let_236)) _let_235 _let_211 _let_210 _let_403 _let_205 _let_203 _let_202 _let_263 _let_262 _let_259 _let_429 _let_446 _let_368 :args ((or _let_144 _let_201) true _let_507 true _let_506 true _let_267 true _let_505 true _let_504 true _let_503 true _let_491 false _let_8 false _let_497 false _let_493 true _let_495 false tptp.hskp30 true _let_499 true (forall ((X85 $$unsorted)) (or (tptp.c1_1 X85) (not (tptp.c0_1 X85)) (not (tptp.c3_1 X85)))) true _let_481 true _let_484 false _let_68 false tptp.hskp7 true _let_487 true _let_136 true _let_440 true _let_19 false _let_21 false _let_22 false _let_23 false tptp.hskp24 true _let_378 true _let_381 false _let_39 false tptp.hskp17 true _let_379 true _let_120 true _let_475 true _let_118 true _let_327 false _let_105 false tptp.hskp1 true _let_433 true _let_135 true _let_383 true (forall ((X86 $$unsorted)) (or (not (tptp.c0_1 X86)) (not (tptp.c1_1 X86)) (not (tptp.c2_1 X86)))) true _let_126 true _let_137 true _let_127 true _let_382 true _let_196 true tptp.hskp18 false _let_194 true _let_33 false _let_496 false _let_197 false _let_490 false _let_198 true _let_188 true _let_187 true _let_186 true _let_76 false _let_78 false _let_79 true _let_116 true _let_115 false _let_87 false tptp.hskp4 true _let_430 true _let_109)) :args ((or _let_144 _let_118 _let_119) true _let_136 false _let_487 true _let_486 true tptp.hskp7 false _let_154 true _let_68 false _let_485 false _let_484 false _let_481 true _let_480 true _let_479 true _let_476 false _let_90 false _let_91 false _let_92 false tptp.hskp3 true _let_267 true _let_266 true _let_24 false _let_26 false _let_27 false _let_28 false tptp.hskp19 true tptp.hskp31 true _let_4 false _let_171 false _let_478 false _let_173 false _let_174 true _let_175 true _let_475 true _let_165 true _let_116 true _let_115 false _let_87 false tptp.hskp4 true tptp.hskp5 true _let_80)) (MACRO_RESOLUTION_TRUST _let_474 _let_473 _let_472 _let_471 _let_469 _let_465 _let_462 _let_410 _let_461 _let_460 _let_459 _let_412 _let_457 _let_413 _let_456 _let_455 _let_414 _let_454 _let_453 _let_452 _let_451 _let_449 _let_448 _let_447 _let_344 _let_366 _let_343 _let_367 _let_340 _let_364 _let_363 _let_365 _let_362 _let_263 _let_262 _let_259 _let_429 _let_446 _let_384 _let_368 :args ((or _let_144 (not _let_118)) true _let_445 true _let_444 true _let_443 true _let_136 true _let_442 true _let_440 true _let_376 true _let_19 false _let_21 false _let_22 false _let_52 false _let_23 false tptp.hskp13 false _let_437 false tptp.hskp24 true _let_377 true _let_435 false _let_135 true _let_378 true _let_434 false _let_433 true _let_432 true _let_431 true tptp.hskp1 false _let_159 true _let_105 false _let_172 false _let_327 true _let_161 true _let_162 true _let_166 true _let_167 true _let_116 true _let_115 false _let_87 false tptp.hskp4 true _let_430 true _let_374 true _let_109)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_116 (= X56 X61)))) _let_263 _let_262 _let_259 _let_429 _let_373 _let_372 _let_371 _let_370 _let_368 :args (_let_144 false _let_143 false _let_141 false _let_137 false _let_136 true tptp.hskp29 true (forall ((Y $$unsorted)) (or (tptp.c0_1 Y) (tptp.c1_1 Y) (tptp.c2_1 Y))) true (forall ((X29 $$unsorted)) (or (tptp.c0_1 X29) (tptp.c2_1 X29) (not (tptp.c3_1 X29)))) false _let_63 true _let_12 true _let_135 true _let_134 false tptp.hskp9 false _let_133 true _let_129 true _let_128 true tptp.hskp2 false _let_127 true _let_123 true _let_98 false _let_126 false _let_125 false _let_122 false _let_120 false _let_119 true _let_118 true _let_117 true _let_116 true _let_115 false _let_87 false tptp.hskp4 false _let_110 true _let_112 true _let_113 true _let_114 true _let_109)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (AND_ELIM _let_182 :args (0)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_182 :args (109)) :args ((or tptp.hskp0 tptp.hskp1 tptp.hskp11))) _let_183 _let_344 (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or tptp.ndr1_0 _let_181))) (REORDERING (CNF_AND_POS :args (_let_105 0)) :args ((or tptp.ndr1_0 _let_342))) :args ((or tptp.hskp0 tptp.ndr1_0) true tptp.hskp11 true tptp.hskp1 true _let_58 true _let_105)) _let_555 :args (tptp.hskp0 true tptp.ndr1_0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_106 0)) :args ((or tptp.ndr1_0 _let_108))) _let_555 :args (_let_108 true tptp.ndr1_0)) :args (false false tptp.hskp0 true _let_106)) :args (_let_107 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.74  )
% 0.55/0.74  % SZS output end Proof for SYN512+1
% 0.55/0.75  % cvc5---1.0.5 exiting
% 0.55/0.75  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------