TSTP Solution File: SYN501+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 02:03:42 EDT 2023
% Result : Theorem 0.22s 0.71s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 20:33:42 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.71 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hlIdfhiPA1/cvc5---1.0.5_30486.p...
% 0.22/0.71 ------- get file name : TPTP file name is SYN501+1
% 0.22/0.71 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30486.smt2...
% 0.22/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.71 % SZS status Theorem for SYN501+1
% 0.22/0.71 % SZS output start Proof for SYN501+1
% 0.22/0.71 (
% 0.22/0.71 (let ((_let_1 (tptp.c2_1 tptp.a137))) (let ((_let_2 (tptp.c1_1 tptp.a137))) (let ((_let_3 (tptp.c0_1 tptp.a137))) (let ((_let_4 (and tptp.ndr1_0 _let_3 _let_2 _let_1))) (let ((_let_5 (and tptp.ndr1_0 (tptp.c0_1 tptp.a101) (tptp.c1_1 tptp.a101) (tptp.c3_1 tptp.a101)))) (let ((_let_6 (tptp.c3_1 tptp.a173))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.c0_1 tptp.a173))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.c1_1 tptp.a173))) (let ((_let_11 (and tptp.ndr1_0 _let_10 _let_9 _let_7))) (let ((_let_12 (tptp.c3_1 tptp.a147))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.c1_1 tptp.a147))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.c0_1 tptp.a147))) (let ((_let_17 (not _let_16))) (let ((_let_18 (and tptp.ndr1_0 _let_17 _let_15 _let_13))) (let ((_let_19 (tptp.c2_1 tptp.a138))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c3_1 tptp.a138))) (let ((_let_22 (tptp.c0_1 tptp.a138))) (let ((_let_23 (and tptp.ndr1_0 _let_22 _let_21 _let_20))) (let ((_let_24 (tptp.c2_1 tptp.a136))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c1_1 tptp.a136))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c3_1 tptp.a136))) (let ((_let_29 (and tptp.ndr1_0 _let_28 _let_27 _let_25))) (let ((_let_30 (tptp.c3_1 tptp.a132))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.c2_1 tptp.a132))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c1_1 tptp.a132))) (let ((_let_35 (not _let_34))) (let ((_let_36 (and tptp.ndr1_0 _let_35 _let_33 _let_31))) (let ((_let_37 (tptp.c2_1 tptp.a130))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.c3_1 tptp.a130))) (let ((_let_40 (tptp.c1_1 tptp.a130))) (let ((_let_41 (and tptp.ndr1_0 _let_40 _let_39 _let_38))) (let ((_let_42 (tptp.c1_1 tptp.a129))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c2_1 tptp.a129))) (let ((_let_45 (tptp.c0_1 tptp.a129))) (let ((_let_46 (and tptp.ndr1_0 _let_45 _let_44 _let_43))) (let ((_let_47 (not tptp.hskp18))) (let ((_let_48 (tptp.c3_1 tptp.a124))) (let ((_let_49 (not _let_48))) (let ((_let_50 (tptp.c1_1 tptp.a124))) (let ((_let_51 (not _let_50))) (let ((_let_52 (tptp.c2_1 tptp.a124))) (let ((_let_53 (and tptp.ndr1_0 _let_52 _let_51 _let_49))) (let ((_let_54 (tptp.c2_1 tptp.a122))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.c1_1 tptp.a122))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.c0_1 tptp.a122))) (let ((_let_59 (and tptp.ndr1_0 _let_58 _let_57 _let_55))) (let ((_let_60 (tptp.c3_1 tptp.a121))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.c2_1 tptp.a121))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.c0_1 tptp.a121))) (let ((_let_65 (not _let_64))) (let ((_let_66 (and tptp.ndr1_0 _let_65 _let_63 _let_61))) (let ((_let_67 (tptp.c2_1 tptp.a113))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.c1_1 tptp.a113))) (let ((_let_70 (tptp.c0_1 tptp.a113))) (let ((_let_71 (and tptp.ndr1_0 _let_70 _let_69 _let_68))) (let ((_let_72 (tptp.c1_1 tptp.a112))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.c0_1 tptp.a112))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.c3_1 tptp.a112))) (let ((_let_77 (and tptp.ndr1_0 _let_76 _let_75 _let_73))) (let ((_let_78 (tptp.c3_1 tptp.a110))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.c2_1 tptp.a110))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.c1_1 tptp.a110))) (let ((_let_83 (and tptp.ndr1_0 _let_82 _let_81 _let_79))) (let ((_let_84 (and tptp.ndr1_0 (tptp.c1_1 tptp.a108) (tptp.c2_1 tptp.a108) (not (tptp.c0_1 tptp.a108))))) (let ((_let_85 (tptp.c2_1 tptp.a107))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.c0_1 tptp.a107))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.c3_1 tptp.a107))) (let ((_let_90 (and tptp.ndr1_0 _let_89 _let_88 _let_86))) (let ((_let_91 (tptp.c0_1 tptp.a106))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c3_1 tptp.a106))) (let ((_let_94 (tptp.c2_1 tptp.a106))) (let ((_let_95 (and tptp.ndr1_0 _let_94 _let_93 _let_92))) (let ((_let_96 (tptp.c3_1 tptp.a105))) (let ((_let_97 (not _let_96))) (let ((_let_98 (tptp.c2_1 tptp.a105))) (let ((_let_99 (tptp.c1_1 tptp.a105))) (let ((_let_100 (and tptp.ndr1_0 _let_99 _let_98 _let_97))) (let ((_let_101 (not tptp.hskp6))) (let ((_let_102 (tptp.c3_1 tptp.a104))) (let ((_let_103 (not _let_102))) (let ((_let_104 (tptp.c0_1 tptp.a104))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.c2_1 tptp.a104))) (let ((_let_107 (and tptp.ndr1_0 _let_106 _let_105 _let_103))) (let ((_let_108 (tptp.c3_1 tptp.a103))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.c2_1 tptp.a103))) (let ((_let_111 (tptp.c0_1 tptp.a103))) (let ((_let_112 (and tptp.ndr1_0 _let_111 _let_110 _let_109))) (let ((_let_113 (not tptp.hskp4))) (let ((_let_114 (tptp.c1_1 tptp.a99))) (let ((_let_115 (not _let_114))) (let ((_let_116 (tptp.c0_1 tptp.a99))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.c2_1 tptp.a99))) (let ((_let_119 (and tptp.ndr1_0 _let_118 _let_117 _let_115))) (let ((_let_120 (tptp.c3_1 tptp.a98))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.c1_1 tptp.a98))) (let ((_let_123 (not _let_122))) (let ((_let_124 (tptp.c0_1 tptp.a98))) (let ((_let_125 (and tptp.ndr1_0 _let_124 _let_123 _let_121))) (let ((_let_126 (not tptp.hskp1))) (let ((_let_127 (tptp.c3_1 tptp.a97))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.c2_1 tptp.a97))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.c0_1 tptp.a97))) (let ((_let_132 (and tptp.ndr1_0 _let_131 _let_130 _let_128))) (let ((_let_133 (not (not (and (or (not tptp.hskp0) _let_132) (or _let_126 _let_125) (or (not tptp.hskp2) _let_119) (or (not tptp.hskp3) (and tptp.ndr1_0 (tptp.c2_1 tptp.a100) (tptp.c3_1 tptp.a100) (not (tptp.c1_1 tptp.a100)))) (or _let_113 _let_112) (or (not tptp.hskp5) _let_107) (or _let_101 _let_100) (or (not tptp.hskp7) _let_95) (or (not tptp.hskp8) _let_90) (or (not tptp.hskp9) _let_84) (or (not tptp.hskp10) _let_83) (or (not tptp.hskp11) _let_77) (or (not tptp.hskp12) _let_71) (or (not tptp.hskp13) (and tptp.ndr1_0 (tptp.c0_1 tptp.a116) (tptp.c1_1 tptp.a116) (not (tptp.c3_1 tptp.a116)))) (or (not tptp.hskp14) (and tptp.ndr1_0 (not (tptp.c0_1 tptp.a120)) (not (tptp.c1_1 tptp.a120)) (not (tptp.c2_1 tptp.a120)))) (or (not tptp.hskp15) _let_66) (or (not tptp.hskp16) _let_59) (or (not tptp.hskp17) _let_53) (or _let_47 _let_46) (or (not tptp.hskp19) _let_41) (or (not tptp.hskp20) _let_36) (or (not tptp.hskp21) _let_29) (or (not tptp.hskp22) _let_23) (or (not tptp.hskp23) (and tptp.ndr1_0 (tptp.c1_1 tptp.a145) (tptp.c3_1 tptp.a145) (not (tptp.c0_1 tptp.a145)))) (or (not tptp.hskp24) _let_18) (or (not tptp.hskp25) _let_11) (or (not tptp.hskp26) (and tptp.ndr1_0 (tptp.c0_1 tptp.a195) (tptp.c3_1 tptp.a195) (not (tptp.c1_1 tptp.a195)))) (or (not tptp.hskp27) _let_5) (or (not tptp.hskp28) _let_4) (or (not tptp.hskp29) (and tptp.ndr1_0 (tptp.c0_1 tptp.a166) (tptp.c2_1 tptp.a166) (tptp.c3_1 tptp.a166))) (or (forall ((U $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 U) (tptp.c1_1 U) (tptp.c2_1 U)))) (forall ((V $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V))))) (forall ((W $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 W) (tptp.c3_1 W) (not (tptp.c2_1 W)))))) (or (forall ((X $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X) (tptp.c1_1 X) (tptp.c2_1 X)))) (forall ((Y $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Y) (tptp.c2_1 Y) (not (tptp.c3_1 Y))))) tptp.hskp0) (or (forall ((Z $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 Z) (tptp.c1_1 Z) (tptp.c2_1 Z)))) tptp.hskp1 tptp.hskp2) (or (forall ((X1 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1)))) (forall ((X2 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X2) (tptp.c1_1 X2) (not (tptp.c3_1 X2))))) (forall ((X3 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X3) (tptp.c3_1 X3) (not (tptp.c1_1 X3)))))) (or (forall ((X4 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X4) (tptp.c1_1 X4) (tptp.c3_1 X4)))) (forall ((X5 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c3_1 X5))))) (forall ((X6 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X6) (not (tptp.c0_1 X6)) (not (tptp.c1_1 X6)))))) (or (forall ((X7 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X7) (tptp.c1_1 X7) (not (tptp.c2_1 X7))))) (forall ((X8 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X8) (tptp.c3_1 X8) (not (tptp.c1_1 X8))))) (forall ((X9 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X9)) (not (tptp.c2_1 X9)) (not (tptp.c3_1 X9)))))) (or (forall ((X10 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X10) (tptp.c1_1 X10) (not (tptp.c2_1 X10))))) (forall ((X11 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X11) (not (tptp.c1_1 X11)) (not (tptp.c2_1 X11))))) tptp.hskp3) (or (forall ((X12 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X12) (tptp.c1_1 X12) (not (tptp.c2_1 X12))))) (forall ((X13 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X13) (tptp.c2_1 X13) (not (tptp.c3_1 X13))))) tptp.hskp27) (or (forall ((X14 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X14) (tptp.c1_1 X14) (not (tptp.c2_1 X14))))) (forall ((X15 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X15) (tptp.c3_1 X15) (not (tptp.c2_1 X15))))) tptp.hskp1) (or (forall ((X16 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c2_1 X16))))) tptp.hskp4 tptp.hskp5) (or (forall ((X17 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X17) (tptp.c1_1 X17) (not (tptp.c2_1 X17))))) tptp.hskp6 tptp.hskp7) (or (forall ((X18 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X18) (tptp.c1_1 X18) (not (tptp.c3_1 X18))))) (forall ((X19 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X19) (tptp.c2_1 X19) (not (tptp.c3_1 X19))))) tptp.hskp8) (or (forall ((X20 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X20) (tptp.c1_1 X20) (not (tptp.c3_1 X20))))) tptp.hskp9 tptp.hskp6) (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 (tptp.c0_1 X22) (tptp.c2_1 X22) (not (tptp.c3_1 X22))))) (forall ((X23 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X23) (not (tptp.c0_1 X23)) (not (tptp.c3_1 X23)))))) (or (forall ((X24 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24)))) (forall ((X25 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X25) (not (tptp.c2_1 X25)) (not (tptp.c3_1 X25))))) (forall ((X26 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X26) (not (tptp.c0_1 X26)) (not (tptp.c1_1 X26)))))) (or (forall ((X27 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X27) (tptp.c2_1 X27) (tptp.c3_1 X27)))) (forall ((X28 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X28) (not (tptp.c1_1 X28)) (not (tptp.c3_1 X28))))) tptp.hskp10) (or (forall ((X29 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X29) (tptp.c2_1 X29) (tptp.c3_1 X29)))) tptp.hskp5 tptp.hskp11) (or (forall ((X30 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30))))) (forall ((X31 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c2_1 X31))))) tptp.hskp12) (or (forall ((X32 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X32) (tptp.c2_1 X32) (not (tptp.c1_1 X32))))) (forall ((X33 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X33) (not (tptp.c1_1 X33)) (not (tptp.c2_1 X33))))) tptp.hskp10) (or (forall ((X34 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X34) (tptp.c2_1 X34) (not (tptp.c1_1 X34))))) (forall ((X35 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X35) (tptp.c2_1 X35) (not (tptp.c3_1 X35))))) (forall ((X36 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X36)) (not (tptp.c2_1 X36)) (not (tptp.c3_1 X36)))))) (or (forall ((X37 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X37) (tptp.c2_1 X37) (not (tptp.c1_1 X37))))) (forall ((X38 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X38) (not (tptp.c0_1 X38)) (not (tptp.c3_1 X38))))) tptp.hskp10) (or (forall ((X39 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39))))) (forall ((X40 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X40) (not (tptp.c1_1 X40)) (not (tptp.c3_1 X40))))) (forall ((X41 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41)))))) (or (forall ((X42 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X42) (tptp.c2_1 X42) (not (tptp.c3_1 X42))))) tptp.hskp13 tptp.hskp5) (or (forall ((X43 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X43) (tptp.c3_1 X43) (not (tptp.c1_1 X43))))) (forall ((X44 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44))))) tptp.hskp11) (or (forall ((X45 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X45) (tptp.c3_1 X45) (not (tptp.c2_1 X45))))) tptp.hskp1 tptp.hskp14) (or (forall ((X46 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X46) (not (tptp.c1_1 X46)) (not (tptp.c2_1 X46))))) (forall ((X47 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47))))) tptp.hskp15) (or (forall ((X48 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X48) (not (tptp.c1_1 X48)) (not (tptp.c2_1 X48))))) (forall ((X49 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c1_1 X49))))) (forall ((X50 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X50)) (not (tptp.c1_1 X50)) (not (tptp.c2_1 X50)))))) (or (forall ((X51 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X51) (not (tptp.c1_1 X51)) (not (tptp.c2_1 X51))))) (forall ((X52 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52))))) tptp.hskp16) (or (forall ((X53 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53))))) (forall ((X54 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X54) (tptp.c3_1 X54) (not (tptp.c0_1 X54))))) tptp.hskp0) (or (forall ((X55 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55))))) (forall ((X56 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X56) (tptp.c2_1 X56) (tptp.c3_1 X56)))) tptp.hskp17) (or (forall ((X57 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X57) (not (tptp.c2_1 X57)) (not (tptp.c3_1 X57))))) (forall ((X58 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X58)) (not (tptp.c2_1 X58)) (not (tptp.c3_1 X58))))) tptp.hskp1) (or (forall ((X59 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c0_1 X59) (not (tptp.c2_1 X59)) (not (tptp.c3_1 X59))))) tptp.hskp9 tptp.hskp17) (or (forall ((X60 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X60) (tptp.c2_1 X60) (tptp.c3_1 X60)))) (forall ((X61 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X61) (tptp.c3_1 X61) (not (tptp.c1_1 X61))))) (forall ((X62 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X62) (not (tptp.c1_1 X62)) (not (tptp.c2_1 X62)))))) (or (forall ((X63 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X63) (tptp.c2_1 X63) (tptp.c3_1 X63)))) (forall ((X64 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64))))) tptp.hskp15) (or (forall ((X65 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X65) (tptp.c2_1 X65) (tptp.c3_1 X65)))) tptp.hskp18 tptp.hskp19) (or (forall ((X66 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c0_1 X66))))) (forall ((X67 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X67) (tptp.c3_1 X67) (not (tptp.c2_1 X67))))) tptp.hskp4) (or (forall ((X68 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X68) (tptp.c2_1 X68) (not (tptp.c0_1 X68))))) (forall ((X69 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X69) (not (tptp.c0_1 X69)) (not (tptp.c2_1 X69))))) (forall ((X70 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c2_1 X70)))))) (or (forall ((X71 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c0_1 X71))))) (forall ((X72 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (not (tptp.c3_1 X72))))) tptp.hskp20) (or (forall ((X73 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c0_1 X73))))) tptp.hskp6 tptp.hskp20) (or (forall ((X74 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X74) (tptp.c2_1 X74) (not (tptp.c0_1 X74))))) tptp.hskp2 tptp.hskp21) (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.c0_1 X76)) (not (tptp.c1_1 X76))))) tptp.hskp28) (or (forall ((X77 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X77) (tptp.c2_1 X77) (not (tptp.c3_1 X77))))) tptp.hskp22 tptp.hskp6) (or (forall ((X78 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c0_1 X78))))) (forall ((X79 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X79) (tptp.c3_1 X79) (not (tptp.c0_1 X79))))) (forall ((X80 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X80) (not (tptp.c1_1 X80)) (not (tptp.c3_1 X80)))))) (or (forall ((X81 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X81) (tptp.c3_1 X81) (not (tptp.c0_1 X81))))) (forall ((X82 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X82)) (not (tptp.c1_1 X82)) (not (tptp.c3_1 X82))))) tptp.hskp18) (or (forall ((X83 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X83) (tptp.c3_1 X83) (not (tptp.c2_1 X83))))) (forall ((X84 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X84) (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84))))) (forall ((X85 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c1_1 X85)) (not (tptp.c2_1 X85)) (not (tptp.c3_1 X85)))))) (or (forall ((X86 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X86) (tptp.c3_1 X86) (not (tptp.c2_1 X86))))) tptp.hskp22 tptp.hskp21) (or (forall ((X87 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X87) (tptp.c3_1 X87) (not (tptp.c2_1 X87))))) tptp.hskp1 tptp.hskp19) (or (forall ((X88 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X88) (tptp.c3_1 X88) (not (tptp.c2_1 X88))))) tptp.hskp23 tptp.hskp17) (or (forall ((X89 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X89) (not (tptp.c0_1 X89)) (not (tptp.c2_1 X89))))) (forall ((X90 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X90) (not (tptp.c2_1 X90)) (not (tptp.c3_1 X90))))) (forall ((X91 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X91)) (not (tptp.c2_1 X91)) (not (tptp.c3_1 X91)))))) (or (forall ((X92 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c2_1 X92))))) (forall ((X93 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c3_1 X93))))) tptp.hskp24) (or (forall ((X94 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X94) (not (tptp.c0_1 X94)) (not (tptp.c2_1 X94))))) (forall ((X95 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X95) (not (tptp.c0_1 X95)) (not (tptp.c1_1 X95))))) tptp.hskp1) (or (forall ((X96 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X96) (not (tptp.c0_1 X96)) (not (tptp.c2_1 X96))))) tptp.hskp4 tptp.hskp7) (or (forall ((X97 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X97) (not (tptp.c0_1 X97)) (not (tptp.c3_1 X97))))) (forall ((X98 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X98) (not (tptp.c1_1 X98)) (not (tptp.c3_1 X98))))) tptp.hskp19) (or (forall ((X99 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c1_1 X99) (not (tptp.c2_1 X99)) (not (tptp.c3_1 X99))))) tptp.hskp3 tptp.hskp17) (or (forall ((X100 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X100) (tptp.c3_1 X100) (not (tptp.c0_1 X100))))) tptp.hskp18 tptp.hskp11) (or (forall ((X101 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X101) (tptp.c3_1 X101) (not (tptp.c0_1 X101))))) tptp.hskp16 tptp.hskp2) (or (forall ((X102 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X102) (not (tptp.c0_1 X102)) (not (tptp.c1_1 X102))))) tptp.hskp7 tptp.hskp20) (or (forall ((X103 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c3_1 X103))))) tptp.hskp4 tptp.hskp7) (or (forall ((X104 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X104) (not (tptp.c1_1 X104)) (not (tptp.c3_1 X104))))) (forall ((X105 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X105) (not (tptp.c0_1 X105)) (not (tptp.c2_1 X105))))) tptp.hskp11) (or (forall ((X106 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c2_1 X106) (not (tptp.c1_1 X106)) (not (tptp.c3_1 X106))))) (forall ((X107 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X107)) (not (tptp.c1_1 X107)) (not (tptp.c2_1 X107))))) tptp.hskp2) (or (forall ((X108 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X108) (not (tptp.c0_1 X108)) (not (tptp.c1_1 X108))))) tptp.hskp27 tptp.hskp19) (or (forall ((X109 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X109) (not (tptp.c0_1 X109)) (not (tptp.c1_1 X109))))) tptp.hskp29 tptp.hskp0) (or (forall ((X110 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X110) (not (tptp.c0_1 X110)) (not (tptp.c1_1 X110))))) tptp.hskp18 tptp.hskp8) (or (forall ((X111 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X111) (not (tptp.c0_1 X111)) (not (tptp.c1_1 X111))))) tptp.hskp0) (or (forall ((X112 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X112) (not (tptp.c0_1 X112)) (not (tptp.c1_1 X112))))) tptp.hskp6) (or (forall ((X113 $$unsorted)) (=> tptp.ndr1_0 (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c2_1 X113))))) tptp.hskp16 tptp.hskp25) (or (forall ((X114 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X114)) (not (tptp.c1_1 X114)) (not (tptp.c2_1 X114))))) tptp.hskp27 tptp.hskp29) (or (forall ((X115 $$unsorted)) (=> tptp.ndr1_0 (or (not (tptp.c0_1 X115)) (not (tptp.c2_1 X115)) (not (tptp.c3_1 X115))))) tptp.hskp1 tptp.hskp9) (or tptp.hskp28 tptp.hskp4 tptp.hskp22) (or tptp.hskp27 tptp.hskp9 tptp.hskp2) (or tptp.hskp12 tptp.hskp13) (or tptp.hskp13 tptp.hskp18 tptp.hskp8) (or tptp.hskp18 tptp.hskp4 tptp.hskp20) (or tptp.hskp18 tptp.hskp19 tptp.hskp17) (or tptp.hskp26 tptp.hskp25 tptp.hskp5) (or tptp.hskp22 tptp.hskp0 tptp.hskp11) (or tptp.hskp22 tptp.hskp8 tptp.hskp15) (or tptp.hskp16 tptp.hskp6 tptp.hskp15) (or tptp.hskp16 tptp.hskp10 tptp.hskp8) (or tptp.hskp19 tptp.hskp8 tptp.hskp15)))))) (let ((_let_134 (forall ((V $$unsorted)) (or (tptp.c0_1 V) (tptp.c1_1 V) (not (tptp.c2_1 V)))))) (let ((_let_135 (forall ((X14 $$unsorted)) (or (tptp.c0_1 X14) (tptp.c1_1 X14) (not (tptp.c2_1 X14)))))) (let ((_let_136 (not _let_52))) (let ((_let_137 (tptp.c0_1 tptp.a124))) (let ((_let_138 (or _let_137 _let_50 _let_136))) (let ((_let_139 (not _let_138))) (let ((_let_140 (not _let_137))) (let ((_let_141 (or _let_50 _let_140 _let_136))) (let ((_let_142 (forall ((X69 $$unsorted)) (or (tptp.c1_1 X69) (not (tptp.c0_1 X69)) (not (tptp.c2_1 X69)))))) (let ((_let_143 (forall ((X84 $$unsorted)) (or (tptp.c1_1 X84) (not (tptp.c0_1 X84)) (not (tptp.c2_1 X84)))))) (let ((_let_144 (forall ((X92 $$unsorted)) (or (tptp.c1_1 X92) (not (tptp.c0_1 X92)) (not (tptp.c2_1 X92)))))) (let ((_let_145 (forall ((X93 $$unsorted)) (or (tptp.c2_1 X93) (not (tptp.c0_1 X93)) (not (tptp.c3_1 X93)))))) (let ((_let_146 (or _let_16 _let_14 _let_12))) (let ((_let_147 (forall ((X1 $$unsorted)) (or (tptp.c0_1 X1) (tptp.c1_1 X1) (tptp.c3_1 X1))))) (let ((_let_148 (not _let_110))) (let ((_let_149 (not _let_111))) (let ((_let_150 (or _let_108 _let_149 _let_148))) (let ((_let_151 (forall ((X52 $$unsorted)) (or (tptp.c3_1 X52) (not (tptp.c0_1 X52)) (not (tptp.c2_1 X52)))))) (let ((_let_152 (forall ((X70 $$unsorted)) (or (tptp.c3_1 X70) (not (tptp.c0_1 X70)) (not (tptp.c2_1 X70)))))) (let ((_let_153 (forall ((X105 $$unsorted)) (or (tptp.c3_1 X105) (not (tptp.c0_1 X105)) (not (tptp.c2_1 X105)))))) (let ((_let_154 (forall ((X113 $$unsorted)) (or (tptp.c3_1 X113) (not (tptp.c0_1 X113)) (not (tptp.c2_1 X113)))))) (let ((_let_155 (forall ((X68 $$unsorted)) (or (tptp.c1_1 X68) (tptp.c2_1 X68) (not (tptp.c0_1 X68)))))) (let ((_let_156 (forall ((X66 $$unsorted)) (or (tptp.c1_1 X66) (tptp.c2_1 X66) (not (tptp.c0_1 X66)))))) (let ((_let_157 (not _let_58))) (let ((_let_158 (or _let_56 _let_54 _let_157))) (let ((_let_159 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_162 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_163 (or _let_162 _let_161 _let_160))) (let ((_let_164 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_161 _let_160 _let_165))) (let ((_let_167 (not _let_162))) (let ((_let_168 (or _let_161 _let_167 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)))) (let ((_let_564 (forall ((X47 $$unsorted)) (or (tptp.c0_1 X47) (not (tptp.c2_1 X47)) (not (tptp.c3_1 X47)))))) (let ((_let_565 (forall ((X46 $$unsorted)) (or (tptp.c0_1 X46) (not (tptp.c1_1 X46)) (not (tptp.c2_1 X46)))))) (let ((_let_566 (or _let_64 _let_62 _let_60))) (let ((_let_567 (forall ((X21 $$unsorted)) (or (tptp.c0_1 X21) (tptp.c2_1 X21) (tptp.c3_1 X21))))) (let ((_let_568 (not _let_532))) (let ((_let_569 (or _let_64 _let_62 _let_568))) (let ((_let_570 (forall ((X24 $$unsorted)) (or (tptp.c0_1 X24) (tptp.c2_1 X24) (tptp.c3_1 X24))))) (let ((_let_571 (forall ((X30 $$unsorted)) (or (tptp.c0_1 X30) (tptp.c2_1 X30) (not (tptp.c1_1 X30)))))) (let ((_let_572 (not _let_69))) (let ((_let_573 (not _let_70))) (let ((_let_574 (or _let_67 _let_573 _let_572))) (let ((_let_575 (not _let_533))) (let ((_let_576 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_382 (= X25 X47)))))) (let ((_let_577 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_491 (= X11 X46)))))) (let ((_let_578 (AND_ELIM _let_278 :args (55)))) (let ((_let_579 (AND_ELIM _let_278 :args (15)))) (let ((_let_580 (not _let_66))) (let ((_let_581 (REORDERING (CNF_AND_POS :args (_let_66 1)) :args ((or _let_65 _let_580))))) (let ((_let_582 (REORDERING (CNF_AND_POS :args (_let_66 2)) :args ((or _let_63 _let_580))))) (let ((_let_583 (not _let_566))) (let ((_let_584 (REORDERING (CNF_AND_POS :args (_let_66 3)) :args ((or _let_61 _let_580))))) (let ((_let_585 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_566)) :args ((or _let_64 _let_62 _let_60 _let_583))) _let_584 _let_582 _let_581 :args ((or _let_580 _let_583) true _let_60 true _let_62 true _let_64)))) (let ((_let_586 (_let_567))) (let ((_let_587 ((not (= (tptp.c0_1 X21) true))))) (let ((_let_588 (ASSUME :args _let_586))) (let ((_let_589 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_588 :args (tptp.a121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_586)))) (let ((_let_590 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_567 (= X21 X24)))))) (let ((_let_591 (_let_571))) (let ((_let_592 (AND_ELIM _let_278 :args (44)))) (let ((_let_593 (not _let_71))) (let ((_let_594 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_574)) :args ((or _let_67 _let_573 _let_572 (not _let_574)))) (REORDERING (CNF_AND_POS :args (_let_71 3)) :args ((or _let_68 _let_593))) (REORDERING (CNF_AND_POS :args (_let_71 2)) :args ((or _let_69 _let_593))) (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_70 _let_593))) (AND_ELIM _let_278 :args (12)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_400 :args (tptp.a113 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_399)) :args _let_398)) (AND_ELIM _let_278 :args (47)) _let_280 _let_592 _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_591) :args (tptp.a121 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X30) true))))) :args _let_591)) _let_590 (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_64 _let_62 _let_568 (not _let_569)))) _let_589 (REORDERING (CNF_OR_POS :args (_let_533)) :args ((or _let_64 _let_62 _let_532 _let_575))) _let_585 _let_582 _let_581 _let_579 _let_578 _let_280 _let_577 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_491 (= X11 X31)))) _let_576 :args ((or _let_491 _let_382 _let_575) true _let_67 false _let_69 false _let_70 false _let_71 false _let_574 false tptp.hskp12 false tptp.ndr1_0 false _let_374 false tptp.ndr1_0 true _let_571 true _let_570 true _let_569 true _let_567 false _let_532 true _let_566 true _let_62 true _let_64 false _let_66 false tptp.hskp15 false tptp.ndr1_0 true _let_565 true (forall ((X31 $$unsorted)) (or (tptp.c0_1 X31) (not (tptp.c1_1 X31)) (not (tptp.c2_1 X31)))) true _let_564)))) (let ((_let_595 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)))) (let ((_let_596 (not _let_539))) (let ((_let_597 (not _let_543))) (let ((_let_598 (REFL :args (_let_545)))) (let ((_let_599 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_545 1)) (CONG _let_598 (MACRO_SR_PRED_INTRO :args ((= (not _let_535) _let_534))) :args _let_239)) :args ((or _let_534 _let_545))))) (let ((_let_600 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_545 2)) (CONG _let_598 (MACRO_SR_PRED_INTRO :args ((= (not _let_542) _let_541))) :args _let_239)) :args ((or _let_541 _let_545))))) (let ((_let_601 (REORDERING (CNF_OR_POS :args (_let_543)) :args ((or _let_535 _let_542 _let_536 _let_597))))) (let ((_let_602 (MACRO_RESOLUTION_TRUST _let_601 (REORDERING (CNF_OR_POS :args (_let_539)) :args ((or _let_538 _let_535 _let_537 _let_596))) _let_600 _let_599 (CNF_OR_NEG :args (_let_545 0)) :args ((or _let_545 _let_597 _let_596) true _let_536 false _let_541 false _let_534 true _let_538)))) (let ((_let_603 (not _let_190))) (let ((_let_604 (_let_603))) (let ((_let_605 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_604)) :args _let_604)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_603) _let_190))) (REFL :args ((not _let_545))) :args _let_239)))) (let ((_let_606 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)))) (let ((_let_607 (not _let_546))) (let ((_let_608 (not _let_29))) (let ((_let_609 (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_608))))) (let ((_let_610 (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_27 _let_608))))) (let ((_let_611 (REORDERING (CNF_AND_POS :args (_let_29 3)) :args ((or _let_25 _let_608))))) (let ((_let_612 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_546)) :args ((or _let_26 _let_24 _let_209 _let_607))) _let_611 _let_610 _let_609 :args ((or _let_608 _let_607) true _let_24 true _let_26 false _let_28)))) (let ((_let_613 (AND_ELIM _let_278 :args (21)))) (let ((_let_614 (REORDERING (AND_ELIM _let_278 :args (75)) :args ((or tptp.hskp21 tptp.hskp22 _let_282 _let_227))))) (let ((_let_615 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_222 (= X15 X86)))))) (let ((_let_616 (or _let_329 _let_218 _let_332))) (let ((_let_617 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_616)) :args ((or _let_329 _let_218 _let_332 (not _let_616)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_348 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_347)) :args _let_346)) _let_465 _let_354 _let_453 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_330 1)) (CONG _let_452 (MACRO_SR_PRED_INTRO :args ((= (not _let_329) _let_328))) :args _let_239)) :args ((or _let_328 _let_330))) _let_451 _let_450 _let_280 _let_448 _let_445 :args ((or _let_142 _let_216 _let_464) false _let_616 false _let_219 false _let_315 false _let_217 false _let_328 true _let_220 false _let_317 false tptp.ndr1_0 true _let_330 true _let_327)))) (let ((_let_618 (MACRO_RESOLUTION_TRUST _let_494 _let_497 _let_481 _let_480 _let_478 _let_477 _let_476 _let_475 _let_493 _let_472 :args ((or tptp.hskp22 _let_466 _let_495) false _let_191 false _let_110 false _let_111 false _let_112 false tptp.hskp4 true tptp.hskp28 true _let_4 false _let_489 false _let_226)))) (let ((_let_619 (or _let_129 _let_127 _let_335))) (let ((_let_620 (forall ((X79 $$unsorted)) (or (tptp.c2_1 X79) (tptp.c3_1 X79) (not (tptp.c0_1 X79)))))) (let ((_let_621 (forall ((X78 $$unsorted)) (or (tptp.c1_1 X78) (tptp.c3_1 X78) (not (tptp.c0_1 X78)))))) (let ((_let_622 (or _let_191 _let_108 _let_149))) (let ((_let_623 (or _let_127 _let_335 _let_370))) (let ((_let_624 (forall ((X112 $$unsorted)) (or (tptp.c3_1 X112) (not (tptp.c0_1 X112)) (not (tptp.c1_1 X112)))))) (let ((_let_625 (REORDERING (CNF_OR_POS :args (_let_619)) :args ((or _let_129 _let_127 _let_335 (not _let_619)))))) (let ((_let_626 (_let_620))) (let ((_let_627 ((not (= (tptp.c2_1 X79) true))))) (let ((_let_628 (ASSUME :args _let_626))) (let ((_let_629 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (tptp.a97 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_626)))) (let ((_let_630 (AND_ELIM _let_278 :args (72)))) (let ((_let_631 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_325 (= X54 X78)))))) (let ((_let_632 (REORDERING (CNF_OR_POS :args (_let_623)) :args ((or _let_127 _let_335 _let_370 (not _let_623)))))) (let ((_let_633 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_554 :args (tptp.a97 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_553)) :args _let_552)))) (let ((_let_634 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_530 (= X6 X112)))))) (let ((_let_635 (AND_ELIM _let_278 :args (94)))) (let ((_let_636 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_622)) :args ((or _let_108 _let_149 _let_191 (not _let_622)))) _let_494 _let_483 _let_481 _let_480 _let_478 _let_477 _let_476 _let_475 _let_493 _let_472 _let_468 _let_344 _let_349 _let_434 _let_301 _let_297 _let_288 _let_635 _let_280 _let_634 _let_633 _let_632 _let_391 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.a103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_389)) :args _let_385)) _let_390 _let_631 _let_630 _let_280 _let_629 _let_625 :args ((or tptp.hskp22 _let_129 _let_127 _let_238 _let_335 _let_207) true _let_191 true _let_108 false _let_110 false _let_111 false _let_112 false tptp.hskp4 true tptp.hskp28 true _let_4 false _let_489 false _let_226 false _let_202 false _let_205 false _let_313 false _let_315 true _let_190 true _let_262 false _let_100 false tptp.hskp6 false tptp.ndr1_0 true _let_624 true _let_530 true _let_623 false _let_368 false _let_622 false _let_369 false _let_325 false _let_621 false tptp.ndr1_0 true _let_620 true _let_619)))) (let ((_let_637 (MACRO_RESOLUTION_TRUST _let_636 _let_311 _let_310 _let_309 _let_307 (MACRO_RESOLUTION_TRUST _let_436 _let_280 _let_435 _let_365 _let_388 _let_363 _let_433 (REORDERING (CNF_OR_POS :args (_let_544)) :args ((or _let_257 _let_320 _let_258 (not _let_544)))) _let_431 _let_430 _let_429 _let_361 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_321 1)) (CONG _let_359 (MACRO_SR_PRED_INTRO :args ((= (not _let_320) _let_319))) :args _let_239)) :args ((or _let_319 _let_321))) _let_360 _let_427 _let_358 _let_426 _let_280 _let_353 _let_349 _let_345 _let_343 _let_344 _let_339 _let_337 _let_468 _let_618 _let_437 _let_440 _let_444 _let_501 _let_617 _let_463 _let_615 _let_614 _let_280 _let_613 _let_612 _let_606 _let_276 _let_283 _let_280 _let_288 _let_297 _let_301 _let_605 _let_602 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_499)) :args _let_498)) _let_595 _let_594 _let_425 _let_563 _let_562 _let_561 _let_560 (REORDERING (CNF_OR_POS :args (_let_531)) :args ((or _let_74 _let_72 _let_212 (not _let_531)))) _let_559 _let_558 _let_557 _let_555 _let_551 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) _let_550 _let_549 _let_305 _let_548 _let_547 _let_280 _let_306 _let_280 :args ((or tptp.hskp0 tptp.hskp22 _let_208 _let_207) false tptp.ndr1_0 true _let_326 true _let_324 true _let_325 true _let_323 true _let_367 false _let_258 true _let_120 true _let_122 false _let_124 false _let_254 false _let_319 false _let_256 false _let_125 true _let_321 false tptp.hskp1 false tptp.ndr1_0 true _let_316 true _let_315 true _let_314 false _let_188 true _let_313 false _let_184 false _let_186 true _let_205 true _let_202 true tptp.hskp18 true _let_46 false _let_201 false _let_192 false _let_142 false _let_221 false _let_222 false _let_227 false tptp.ndr1_0 true tptp.hskp21 true _let_29 false _let_546 false _let_245 false _let_248 false tptp.ndr1_0 true tptp.hskp6 true _let_100 false _let_262 false _let_190 false _let_545 false _let_544 false _let_543 false _let_491 true _let_383 true _let_382 true _let_216 true _let_540 true _let_215 false _let_212 true _let_72 true _let_74 false _let_76 false _let_539 false _let_533 false _let_531 false _let_77 false _let_530 false _let_264 false tptp.hskp11 false _let_529 false tptp.ndr1_0 false _let_265 false tptp.ndr1_0)) _let_528 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_527 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_526)) :args _let_525)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_232 _let_231 _let_236 _let_524))) _let_267 _let_266 :args ((or _let_234 _let_236 _let_524) false _let_230 true _let_232)) (MACRO_RESOLUTION_TRUST _let_523 _let_519 _let_484 _let_481 _let_480 _let_478 _let_477 _let_476 _let_475 _let_472 _let_468 (MACRO_RESOLUTION_TRUST _let_465 _let_463 _let_459 _let_458 _let_454 _let_453 _let_451 _let_450 _let_280 _let_449 _let_280 _let_448 _let_445 _let_177 _let_444 _let_440 _let_437 _let_436 _let_280 _let_435 _let_434 _let_365 _let_363 _let_362 _let_361 _let_360 _let_358 _let_355 _let_354 _let_353 _let_349 _let_345 _let_343 _let_344 _let_339 _let_337 :args ((or _let_129 _let_127 _let_190 _let_335 _let_205 _let_207 _let_334) false _let_221 true _let_219 false _let_333 false _let_222 false _let_217 true _let_220 false _let_216 false tptp.ndr1_0 false _let_331 false tptp.ndr1_0 true _let_330 true _let_327 true _let_143 true _let_142 true _let_201 false _let_46 false tptp.hskp18 false tptp.ndr1_0 true _let_326 true _let_325 true _let_324 true _let_323 false _let_258 false _let_254 false _let_256 true _let_321 true _let_318 true _let_317 true _let_316 true _let_315 true _let_314 false _let_188 true _let_313 false _let_184 false _let_186)) _let_311 _let_310 _let_309 _let_307 _let_306 _let_280 _let_305 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_304 :args (tptp.a107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_303)) :args _let_302)) (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_87 _let_85 _let_251 (not _let_263)))) _let_301 _let_297 _let_295 _let_294 (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_87 _let_250 _let_252 (not _let_253)))) _let_292 _let_291 _let_290 _let_288 _let_287 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_286 :args (tptp.a107 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c0_1 X40) true))))) :args _let_285)) _let_284 _let_283 _let_280 (AND_ELIM _let_278 :args (51)) _let_280 _let_281 _let_280 _let_276 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_245 (= X13 X41)))) _let_275 _let_274 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)) (REORDERING (CNF_OR_POS :args (_let_244)) :args ((or _let_232 _let_231 _let_235 (not _let_244)))) (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_233 _let_231 _let_235 (not _let_243)))) (CNF_OR_NEG :args (_let_234 0)) _let_267 _let_266 _let_242 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_208 (= Y X39)))) :args ((or tptp.hskp22 _let_208 _let_235 _let_207) false _let_151 true _let_150 false _let_110 false _let_111 false _let_112 false tptp.hskp4 true tptp.hskp28 true _let_4 false _let_226 false _let_202 false _let_205 true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0 false tptp.ndr1_0 true _let_265 true _let_264 true _let_263 true _let_190 true _let_262 false _let_98 false _let_99 true _let_251 true _let_85 true _let_87 false _let_89 false _let_100 false _let_259 false _let_253 false _let_90 false tptp.hskp6 false tptp.ndr1_0 false _let_249 false tptp.ndr1_0 false tptp.hskp8 false tptp.ndr1_0 true _let_248 true (forall ((X41 $$unsorted)) (or (tptp.c1_1 X41) (tptp.c2_1 X41) (not (tptp.c3_1 X41)))) true _let_247 true _let_246 true _let_245 true _let_174 true _let_244 true _let_243 true _let_233 false _let_230 true _let_232 true _let_234 true (forall ((X39 $$unsorted)) (or (tptp.c0_1 X39) (tptp.c2_1 X39) (not (tptp.c3_1 X39)))))) _let_242 :args ((or tptp.hskp22 _let_208 _let_207) true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0 true _let_238 true _let_169 true _let_237 false _let_235 true _let_234)))) (let ((_let_638 (_let_208))) (let ((_let_639 (ASSUME :args _let_638))) (let ((_let_640 ((not (= (tptp.c0_1 Y) true))))) (let ((_let_641 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_640)) :args _let_638)))) (let ((_let_642 (REORDERING (CNF_OR_POS :args (_let_213)) :args ((or _let_74 _let_175 _let_212 (not _let_213)))))) (let ((_let_643 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_465 _let_463 _let_459 _let_454 _let_458 _let_449 _let_280 _let_450 _let_280 _let_355 _let_354 _let_353 _let_349 _let_345 _let_343 _let_344 _let_339 _let_337 :args ((or _let_143 _let_327 _let_205 _let_220 _let_218 _let_207) false _let_221 true _let_219 false _let_222 false _let_333 false _let_331 false tptp.ndr1_0 false _let_216 false tptp.ndr1_0 true _let_318 true _let_317 true _let_316 true _let_315 true _let_314 false _let_188 true _let_313 false _let_184 false _let_186)) _let_453 _let_451 _let_448 _let_445 _let_177 :args ((or _let_142 _let_205 _let_207) false _let_217 true _let_220 true _let_330 true _let_327 true _let_143)))) (let ((_let_644 (not _let_39))) (let ((_let_645 (not _let_40))) (let ((_let_646 (or _let_37 _let_645 _let_644))) (let ((_let_647 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_648 (or _let_197 _let_647 _let_196))) (let ((_let_649 (or _let_197 _let_193 _let_647))) (let ((_let_650 (forall ((X65 $$unsorted)) (or (tptp.c1_1 X65) (tptp.c2_1 X65) (tptp.c3_1 X65))))) (let ((_let_651 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_527 :args (tptp.a130 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_526)) :args _let_525)))) (let ((_let_652 (not _let_646))) (let ((_let_653 (not _let_41))) (let ((_let_654 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_646)) :args ((or _let_37 _let_645 _let_644 _let_652))) (REORDERING (CNF_AND_POS :args (_let_41 3)) :args ((or _let_38 _let_653))) (REORDERING (CNF_AND_POS :args (_let_41 2)) :args ((or _let_39 _let_653))) (REORDERING (CNF_AND_POS :args (_let_41 1)) :args ((or _let_40 _let_653))) :args ((or _let_653 _let_652) true _let_37 false _let_39 false _let_40)))) (let ((_let_655 (AND_ELIM _let_278 :args (19)))) (let ((_let_656 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_657 (not _let_656))) (let ((_let_658 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_659 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_660 (or _let_659 _let_658 _let_657))) (let ((_let_661 (or _let_368 _let_129 _let_335))) (let ((_let_662 (or _let_659 _let_658 (not (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))))) (let ((_let_663 (or _let_659 _let_658 _let_656))) (let ((_let_664 (REORDERING (CNF_OR_POS :args (_let_661)) :args ((or _let_129 _let_335 _let_368 (not _let_661)))))) (let ((_let_665 ((not (= (tptp.c2_1 X66) true))))) (let ((_let_666 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a97 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_665)) :args _let_512)))) (let ((_let_667 (not _let_156))) (let ((_let_668 (_let_667))) (let ((_let_669 (not _let_663))) (let ((_let_670 (not _let_660))) (let ((_let_671 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_377 (= X56 X65)))))) (let ((_let_672 (AND_ELIM _let_278 :args (64)))) (let ((_let_673 (REFL :args _let_496))) (let ((_let_674 (_let_384))) (let ((_let_675 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_674)) :args _let_674)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_384) _let_325))) (REFL :args ((not _let_648))) :args _let_239)))) (let ((_let_676 (CNF_OR_NEG :args (_let_648 0)))) (let ((_let_677 (CNF_OR_NEG :args (_let_648 1)))) (let ((_let_678 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_648 2)) (CONG (REFL :args (_let_648)) (MACRO_SR_PRED_INTRO :args ((= (not _let_196) _let_195))) :args _let_239)) :args ((or _let_195 _let_648))))) (let ((_let_679 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)))) (let ((_let_680 (not _let_198))) (let ((_let_681 (REORDERING (CNF_OR_POS :args (_let_198)) :args ((or _let_197 _let_196 _let_194 _let_680))))) (let ((_let_682 (REORDERING (CNF_OR_POS :args (_let_649)) :args ((or _let_197 _let_647 _let_193 (not _let_649)))))) (let ((_let_683 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)))) (let ((_let_684 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_671 _let_672 _let_280 _let_683 _let_437 _let_682 _let_440 _let_681 _let_444 _let_679 _let_643 _let_678 _let_677 _let_676 _let_675 _let_434 _let_349 _let_344 _let_468 _let_301 (MACRO_RESOLUTION_TRUST _let_484 _let_478 _let_523 _let_477 _let_519 _let_476 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_192 2)) (CONG _let_673 (MACRO_SR_PRED_INTRO :args ((= (not _let_148) _let_110))) :args _let_239)) :args ((or _let_110 _let_192))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_192 1)) (CONG _let_673 (MACRO_SR_PRED_INTRO :args ((= (not _let_149) _let_111))) :args _let_239)) :args ((or _let_111 _let_192))) _let_475 _let_618 _let_472 :args ((or tptp.hskp22 _let_261 _let_260 _let_466) false _let_112 false _let_150 false tptp.hskp4 false _let_151 true tptp.hskp28 false _let_110 false _let_111 true _let_4 true _let_192 false _let_226)) _let_297 _let_295 _let_294 _let_288 (MACRO_RESOLUTION_TRUST _let_459 _let_465 _let_458 _let_453 _let_451 _let_617 _let_448 _let_444 _let_440 _let_437 _let_672 _let_280 _let_671 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)) _let_463 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_663)) :args ((or _let_659 _let_658 _let_656 _let_669))) (REORDERING (CNF_OR_POS :args (_let_660)) :args ((or _let_659 _let_658 _let_657 _let_670))) (CNF_OR_NEG :args (_let_662 1)) (CNF_OR_NEG :args (_let_662 0)) :args ((or _let_662 _let_670 _let_669) true _let_656 true _let_658 true _let_659)) _let_615 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_668)) :args _let_668)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_667) _let_156))) (REFL :args ((not _let_662))) :args _let_239)) _let_614 _let_280 _let_666 _let_613 _let_664 _let_612 _let_632 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) _let_606 _let_633 _let_276 _let_634 _let_283 _let_280 _let_635 _let_280 :args ((or tptp.hskp6 tptp.hskp19 tptp.hskp22 _let_129 _let_127 _let_335) false _let_219 false _let_333 false _let_217 true _let_220 false _let_216 true _let_330 true _let_142 true _let_201 false _let_46 false tptp.hskp18 false tptp.ndr1_0 true _let_650 true _let_377 false _let_221 true _let_663 false _let_222 true _let_662 false _let_227 false tptp.ndr1_0 true _let_156 true tptp.hskp21 true _let_661 true _let_29 true _let_368 false _let_660 false _let_546 false _let_623 false _let_245 false _let_530 false _let_248 false tptp.ndr1_0 false _let_624 false tptp.ndr1_0)) _let_655 _let_654 _let_651 _let_528 _let_636 :args ((or tptp.hskp22 _let_129 _let_127 _let_335 _let_207) false _let_650 false tptp.ndr1_0 true _let_377 true tptp.hskp18 true _let_649 true _let_46 true _let_193 false _let_201 false _let_198 false _let_142 false _let_195 true _let_647 true _let_197 true _let_648 true _let_325 true _let_315 true _let_313 true _let_205 true _let_190 true _let_202 true _let_262 false _let_98 false _let_99 false _let_100 false tptp.hskp6 true tptp.hskp19 true _let_41 false _let_646 false _let_169 false _let_238)) _let_311 _let_310 _let_309 _let_307 (MACRO_RESOLUTION_TRUST _let_505 _let_280 _let_507 _let_503 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_523 (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_26 _let_24 _let_228 (not _let_229)))) _let_484 (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_24 _let_209 _let_210 (not _let_211)))) _let_478 _let_611 _let_610 _let_609 _let_477 _let_613 _let_476 _let_614 _let_280 _let_475 _let_615 _let_472 _let_463 _let_468 _let_617 _let_643 (MACRO_RESOLUTION_TRUST _let_362 _let_363 _let_287 _let_365 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_249 (= X40 X53)))) _let_436 _let_280 (AND_ELIM _let_278 :args (58)) _let_280 _let_435 _let_388 _let_433 _let_431 _let_430 _let_429 _let_361 _let_360 _let_427 _let_358 _let_426 _let_280 _let_353 _let_349 _let_345 _let_343 _let_344 _let_339 _let_337 _let_437 _let_468 _let_440 _let_618 _let_444 _let_501 _let_425 _let_563 _let_561 _let_642 _let_557 _let_641 _let_637 _let_558 _let_550 _let_548 :args ((or tptp.hskp0 tptp.hskp22 _let_446 _let_207) true _let_258 false _let_259 false _let_323 false _let_249 false _let_324 false tptp.ndr1_0 false (forall ((X53 $$unsorted)) (or (tptp.c0_1 X53) (not (tptp.c1_1 X53)) (not (tptp.c3_1 X53)))) false tptp.ndr1_0 true _let_326 true _let_325 true _let_367 true _let_120 true _let_122 false _let_124 false _let_254 false _let_256 false _let_125 true _let_321 false tptp.hskp1 false tptp.ndr1_0 true _let_316 true _let_315 true _let_314 false _let_188 true _let_313 false _let_184 false _let_186 true tptp.hskp18 true _let_205 true _let_46 true _let_202 false _let_201 false _let_192 true _let_383 true _let_382 true _let_540 false _let_212 false _let_76 false _let_213 false _let_208 true _let_74 false _let_77 false tptp.hskp11)) _let_562 _let_560 _let_642 _let_559 _let_558 _let_557 _let_550 _let_548 _let_641 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a136 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 Y) true))))) :args _let_638)) _let_637 :args ((or tptp.hskp0 tptp.hskp22 _let_207) false tptp.ndr1_0 true _let_155 true _let_152 true _let_156 true _let_151 true _let_229 true _let_150 false _let_210 false _let_112 true _let_24 true _let_26 false _let_28 false tptp.hskp4 false _let_29 true tptp.hskp28 false tptp.hskp21 false tptp.ndr1_0 true _let_4 true _let_227 false _let_226 true _let_222 false _let_202 true _let_221 false _let_205 true _let_142 true _let_216 true _let_215 false _let_212 true _let_72 true _let_74 false _let_76 false _let_77 false tptp.hskp11 false _let_213 false _let_211 false _let_208)) :args ((or tptp.hskp22 _let_207) true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0)))) (let ((_let_685 (REORDERING (CNF_OR_NEG :args (_let_189 0)) :args ((or _let_312 _let_189))))) (let ((_let_686 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_189 2)) (CONG (REFL :args _let_342) _let_338 :args _let_239)) :args ((or _let_184 _let_189))))) (let ((_let_687 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_300 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_299)) :args _let_298)))) (let ((_let_688 (tptp.c2_1 tptp.a173))) (let ((_let_689 (not _let_688))) (let ((_let_690 (or _let_8 _let_171 _let_689))) (let ((_let_691 (or _let_8 _let_688 _let_6))) (let ((_let_692 (forall ((X101 $$unsorted)) (or (tptp.c2_1 X101) (tptp.c3_1 X101) (not (tptp.c0_1 X101)))))) (let ((_let_693 (tptp.c3_1 tptp.a99))) (let ((_let_694 (not _let_693))) (let ((_let_695 (not _let_118))) (let ((_let_696 (or _let_116 _let_695 _let_694))) (let ((_let_697 (or _let_116 _let_114 _let_693))) (let ((_let_698 (or _let_537 _let_535 _let_542))) (let ((_let_699 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_471 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_470)) :args _let_469)))) (let ((_let_700 (REORDERING (CNF_OR_POS :args (_let_698)) :args ((or _let_535 _let_542 _let_537 (not _let_698)))))) (let ((_let_701 (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_204 _let_185 _let_188 (not _let_206)))))) (let ((_let_702 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_522 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_521)) :args _let_520)))) (let ((_let_703 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_151 (= X52 X113)))))) (let ((_let_704 ((not (= (tptp.c0_1 X11) true))))) (let ((_let_705 (MACRO_RESOLUTION_TRUST _let_517 _let_511 _let_510 _let_509 :args ((or _let_508 _let_516) true _let_54 true _let_56 false _let_58)))) (let ((_let_706 (AND_ELIM _let_278 :args (95)))) (let ((_let_707 (AND_ELIM _let_278 :args (25)))) (let ((_let_708 (not _let_11))) (let ((_let_709 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_10 _let_708))))) (let ((_let_710 (REORDERING (CNF_AND_POS :args (_let_11 2)) :args ((or _let_9 _let_708))))) (let ((_let_711 (REORDERING (CNF_AND_POS :args (_let_11 3)) :args ((or _let_7 _let_708))))) (let ((_let_712 (not _let_172))) (let ((_let_713 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_8 _let_6 _let_171 _let_712))) _let_711 _let_710 _let_709 :args ((or _let_708 _let_712) true _let_6 true _let_8 false _let_10)))) (let ((_let_714 (_let_173))) (let ((_let_715 ((not (= (tptp.c0_1 X3) true))))) (let ((_let_716 (ASSUME :args _let_714))) (let ((_let_717 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_716 :args (tptp.a173 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_715)) :args _let_714)))) (let ((_let_718 (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_74 _let_72 _let_175 (not _let_176)))))) (let ((_let_719 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.a112 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)))) (let ((_let_720 (AND_ELIM _let_278 :args (33)))) (let ((_let_721 (_let_147))) (let ((_let_722 ((not (= (tptp.c0_1 X1) true))))) (let ((_let_723 (ASSUME :args _let_721))) (let ((_let_724 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_723 :args (tptp.a99 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_722)) :args _let_721)) _let_720 _let_280 (REORDERING (CNF_OR_POS :args (_let_697)) :args ((or _let_116 _let_114 _let_693 (not _let_697)))) _let_719 (REORDERING (CNF_OR_POS :args (_let_696)) :args ((or _let_116 _let_695 _let_694 (not _let_696)))) (REORDERING (CNF_AND_POS :args (_let_119 3)) :args ((or _let_115 _let_277))) (REORDERING (CNF_AND_POS :args (_let_119 2)) :args ((or _let_117 _let_277))) (REORDERING (CNF_AND_POS :args (_let_119 1)) :args ((or _let_118 _let_277))) _let_718 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_423 :args (tptp.a99 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_422)) :args _let_421)) _let_279 _let_559 _let_558 _let_557 _let_592 _let_280 (REORDERING (AND_ELIM _let_278 :args (85)) :args ((or tptp.hskp2 tptp.hskp16 _let_282 _let_692))) _let_280 _let_550 _let_590 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_620 (= X79 X101)))) _let_401 (AND_ELIM _let_278 :args (53)) _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_588 :args (tptp.a173 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_586)) _let_629 _let_393 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_173 (= X3 X43)))) (REORDERING (CNF_OR_POS :args (_let_691)) :args ((or _let_8 _let_6 _let_688 (not _let_691)))) _let_625 _let_664 _let_717 (REORDERING (CNF_OR_POS :args (_let_690)) :args ((or _let_8 _let_171 _let_689 (not _let_690)))) _let_311 _let_310 _let_309 _let_713 _let_711 _let_710 _let_709 _let_307 _let_707 _let_547 _let_280 _let_706 _let_280 _let_549 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_530 (= X6 X44)))) _let_506 _let_555 _let_705 _let_602 _let_666 _let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a173 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_498)) _let_595 _let_507 _let_502 _let_505 _let_280 _let_518 _let_703 _let_503 _let_702 _let_701 _let_341 _let_468 (MACRO_RESOLUTION_TRUST _let_523 _let_518 _let_484 _let_502 _let_478 _let_595 _let_477 _let_601 _let_476 _let_700 _let_475 _let_699 _let_472 _let_599 _let_600 _let_605 _let_687 _let_684 :args ((or tptp.hskp22 _let_142 _let_466) false _let_151 true _let_150 true _let_492 false _let_112 true _let_491 false tptp.hskp4 true _let_543 true tptp.hskp28 true _let_536 true _let_4 false _let_698 false _let_226 false _let_534 false _let_541 true _let_545 true _let_190 true _let_189)) _let_686 _let_685 _let_605 _let_687 _let_684 :args ((or tptp.hskp22 _let_142) false _let_147 false tptp.ndr1_0 true _let_697 true _let_174 true _let_693 true _let_114 true _let_116 false _let_118 true _let_176 false _let_696 false _let_119 true _let_72 true _let_74 false _let_76 false _let_382 false tptp.ndr1_0 false tptp.hskp2 false tptp.ndr1_0 false _let_77 true _let_570 true _let_692 true _let_374 false tptp.hskp11 false tptp.ndr1_0 true _let_567 true _let_620 true _let_372 true (forall ((X43 $$unsorted)) (or (tptp.c0_1 X43) (tptp.c3_1 X43) (not (tptp.c1_1 X43)))) true _let_691 true _let_619 false _let_368 true _let_173 true _let_688 true _let_127 true _let_129 false _let_131 true _let_172 true _let_6 true _let_8 false _let_10 false _let_132 false _let_11 false tptp.hskp0 false tptp.ndr1_0 false tptp.hskp25 false tptp.ndr1_0 true _let_529 true (forall ((X44 $$unsorted)) (or (tptp.c3_1 X44) (not (tptp.c0_1 X44)) (not (tptp.c1_1 X44)))) true tptp.hskp16 true _let_530 true _let_59 true _let_539 false _let_661 false _let_158 false _let_690 false _let_543 false _let_156 false _let_491 false _let_155 false tptp.ndr1_0 false _let_492 true _let_154 true _let_152 true _let_151 true _let_206 false _let_203 true _let_205 true _let_202 false _let_184 true _let_188 true _let_545 true _let_190 true _let_189)))) (let ((_let_725 (forall ((X64 $$unsorted)) (or (tptp.c3_1 X64) (not (tptp.c0_1 X64)) (not (tptp.c2_1 X64)))))) (let ((_let_726 (forall ((X71 $$unsorted)) (or (tptp.c1_1 X71) (tptp.c2_1 X71) (not (tptp.c0_1 X71)))))) (let ((_let_727 (tptp.c3_1 tptp.a122))) (let ((_let_728 (or _let_56 _let_727 _let_157))) (let ((_let_729 (or _let_54 _let_727 _let_157))) (let ((_let_730 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_151 (= X52 X64)))))) (let ((_let_731 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= X66 X71)))))) (let ((_let_732 (not _let_727))) (let ((_let_733 (or _let_56 _let_54 _let_732))) (let ((_let_734 (or _let_56 _let_157 _let_732))) (let ((_let_735 (forall ((X5 $$unsorted)) (or (tptp.c1_1 X5) (not (tptp.c0_1 X5)) (not (tptp.c3_1 X5)))))) (let ((_let_736 (forall ((X72 $$unsorted)) (or (tptp.c1_1 X72) (not (tptp.c0_1 X72)) (not (tptp.c3_1 X72)))))) (let ((_let_737 (or _let_87 _let_85 _let_250))) (let ((_let_738 (forall ((X63 $$unsorted)) (or (tptp.c1_1 X63) (tptp.c2_1 X63) (tptp.c3_1 X63))))) (let ((_let_739 (REORDERING (CNF_OR_POS :args (_let_734)) :args ((or _let_56 _let_157 _let_732 (not _let_734)))))) (let ((_let_740 (_let_735))) (let ((_let_741 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_740) :args (tptp.a122 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 X5) true))))) :args _let_740)))) (let ((_let_742 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_735 (= X5 X72)))))) (let ((_let_743 (AND_ELIM _let_278 :args (67)))) (let ((_let_744 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_377 (= X56 X63)))))) (let ((_let_745 (AND_ELIM _let_278 :args (63)))) (let ((_let_746 (REORDERING (CNF_OR_POS :args (_let_728)) :args ((or _let_56 _let_157 _let_727 (not _let_728)))))) (let ((_let_747 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_387 :args (tptp.a122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_386)) :args _let_385)))) (let ((_let_748 (MACRO_RESOLUTION_TRUST _let_672 _let_280 _let_671 _let_655 _let_683 _let_654 _let_682 _let_651 _let_681 _let_528 _let_678 _let_677 _let_676 _let_630 _let_280 _let_675 _let_631 :args ((or tptp.hskp18 _let_325 _let_620 _let_680) false tptp.ndr1_0 true _let_650 true tptp.hskp19 true _let_377 true _let_41 true _let_649 false _let_646 true _let_193 false _let_169 false _let_195 true _let_647 true _let_197 false _let_238 false tptp.ndr1_0 true _let_648 true _let_621)))) (let ((_let_749 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_750 (not _let_749))) (let ((_let_751 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_752 (not _let_751))) (let ((_let_753 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_754 (or _let_753 _let_752 _let_750))) (let ((_let_755 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_756 (or _let_753 _let_749 _let_755))) (let ((_let_757 (or _let_753 _let_755 _let_752))) (let ((_let_758 (not _let_756))) (let ((_let_759 (not _let_754))) (let ((_let_760 (not _let_173))) (let ((_let_761 (_let_760))) (let ((_let_762 (MACRO_RESOLUTION_TRUST _let_742 _let_743 _let_280 _let_741 _let_731 _let_739 _let_515 _let_746 _let_705 _let_510 _let_509 _let_506 _let_706 _let_280 _let_707 _let_713 _let_717 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_761)) :args _let_761)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_760) _let_173))) (REFL :args ((not _let_757))) :args _let_239)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_754)) :args ((or _let_753 _let_752 _let_750 _let_759))) (REORDERING (CNF_OR_POS :args (_let_756)) :args ((or _let_753 _let_755 _let_749 _let_758))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_757 2)) (CONG (REFL :args (_let_757)) (MACRO_SR_PRED_INTRO :args ((= (not _let_752) _let_751))) :args _let_239)) :args ((or _let_751 _let_757))) (CNF_OR_NEG :args (_let_757 1)) (CNF_OR_NEG :args (_let_757 0)) :args ((or _let_757 _let_759 _let_758) false _let_749 false _let_751 true _let_755 true _let_753)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_588 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_587)) :args _let_586)) _let_590 _let_592 _let_280 _let_424 _let_420 _let_418 _let_417 _let_416 _let_414 _let_413 _let_280 _let_412 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_498)) _let_411 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_491 (= X11 X48)))) _let_408 (AND_ELIM _let_278 :args (56)) _let_280 _let_404 _let_403 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_374 (= X26 X49)))) _let_402 _let_280 _let_401 _let_397 _let_393 _let_392 _let_391 _let_390 _let_747 _let_748 _let_629 _let_625 :args ((or tptp.hskp18 _let_129 _let_127 _let_202 _let_190 _let_154 _let_335 _let_680) false _let_736 false tptp.ndr1_0 true _let_735 true _let_726 true _let_734 true _let_156 false _let_727 true _let_158 true _let_56 false _let_58 false _let_59 false tptp.hskp16 false tptp.ndr1_0 true tptp.hskp25 true _let_11 false _let_172 false _let_173 false _let_757 false _let_756 false _let_567 false _let_570 false tptp.ndr1_0 true _let_382 true _let_381 true _let_91 false _let_93 false _let_94 false _let_95 false tptp.hskp7 false tptp.ndr1_0 true tptp.hskp20 false _let_754 true _let_36 false _let_491 false _let_378 false (forall ((X48 $$unsorted)) (or (tptp.c0_1 X48) (not (tptp.c1_1 X48)) (not (tptp.c2_1 X48)))) false tptp.ndr1_0 false _let_377 true _let_376 true (forall ((X49 $$unsorted)) (or (tptp.c2_1 X49) (not (tptp.c0_1 X49)) (not (tptp.c1_1 X49)))) false _let_375 false tptp.ndr1_0 true _let_374 true _let_373 true _let_372 true _let_371 false _let_368 false _let_369 false _let_728 false _let_325 true _let_620 true _let_619)))) (let ((_let_763 (not _let_23))) (let ((_let_764 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_19 _let_180 _let_179 _let_183))) (REORDERING (CNF_AND_POS :args (_let_23 3)) :args ((or _let_20 _let_763))) (REORDERING (CNF_AND_POS :args (_let_23 2)) :args ((or _let_21 _let_763))) (REORDERING (CNF_AND_POS :args (_let_23 1)) :args ((or _let_22 _let_763))) :args ((or _let_763 _let_183) true _let_19 false _let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_278 :args (22)) (MACRO_RESOLUTION_TRUST _let_762 _let_311 _let_310 _let_309 _let_307 (MACRO_RESOLUTION_TRUST _let_748 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (tptp.a122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_627)) :args _let_626)) _let_747 (REORDERING (CNF_OR_POS :args (_let_729)) :args ((or _let_54 _let_157 _let_727 (not _let_729)))) _let_746 (MACRO_RESOLUTION_TRUST _let_585 _let_589 _let_579 (AND_ELIM _let_278 :args (43)) _let_280 _let_745 _let_280 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_208 (= Y X22)))) _let_744 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_639 :args (tptp.a107 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_640)) :args _let_638)) _let_408 (REORDERING (CNF_OR_POS :args (_let_737)) :args ((or _let_87 _let_85 _let_250 (not _let_737)))) _let_411 _let_292 _let_291 _let_290 _let_412 _let_284 _let_743 _let_280 _let_281 _let_280 _let_742 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_735 (= X5 X23)))) _let_275 _let_741 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_273 :args (tptp.a122 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_272)) :args _let_271)) _let_739 (REORDERING (CNF_OR_POS :args (_let_733)) :args ((or _let_56 _let_54 _let_732 (not _let_733)))) :args ((or _let_56 _let_54 _let_246 _let_725 _let_726 _let_157 _let_732) false _let_566 false _let_66 false _let_567 false tptp.ndr1_0 false tptp.hskp15 false tptp.ndr1_0 true (forall ((X22 $$unsorted)) (or (tptp.c0_1 X22) (tptp.c2_1 X22) (not (tptp.c3_1 X22)))) true _let_738 true _let_208 true _let_377 true _let_737 true _let_378 true _let_85 true _let_87 false _let_89 false _let_36 false _let_90 false tptp.hskp20 false tptp.ndr1_0 false tptp.hskp8 false tptp.ndr1_0 true _let_736 true (forall ((X23 $$unsorted)) (or (tptp.c1_1 X23) (not (tptp.c0_1 X23)) (not (tptp.c3_1 X23)))) true _let_247 true _let_735 true _let_245 true _let_734 true _let_733)) _let_731 _let_515 _let_705 _let_511 _let_510 _let_509 _let_506 _let_504 _let_280 _let_274 _let_502 _let_719 _let_595 _let_718 _let_602 _let_559 _let_558 _let_557 _let_555 _let_550 _let_549 _let_548 _let_547 _let_280 _let_605 _let_687 _let_730 _let_702 _let_701 _let_686 _let_685 _let_684 _let_341 _let_468 _let_618 _let_501 _let_437 _let_440 _let_444 _let_679 _let_724 :args ((or tptp.hskp0 tptp.hskp22) true _let_620 true _let_325 true _let_729 true _let_728 true _let_727 true _let_726 true _let_156 true _let_158 true _let_54 true _let_56 false _let_58 false _let_59 false tptp.hskp16 false tptp.ndr1_0 true _let_246 true _let_492 true _let_174 true _let_491 true _let_176 true _let_543 true _let_72 true _let_74 false _let_76 false _let_539 false _let_77 false _let_530 false tptp.hskp11 false _let_529 false tptp.ndr1_0 true _let_545 true _let_190 true _let_725 true _let_151 true _let_206 false _let_184 true _let_188 true _let_189 false _let_203 true _let_205 true _let_202 false _let_192 true tptp.hskp18 true _let_46 false _let_201 false _let_198 false _let_142)) _let_703 _let_702 _let_701 _let_341 _let_437 _let_468 _let_440 _let_618 _let_444 _let_679 _let_501 _let_724 _let_687 _let_686 _let_685 _let_684 :args (tptp.hskp22 true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0 true _let_154 true _let_151 true _let_206 false _let_203 true tptp.hskp18 true _let_205 true _let_46 true _let_202 false _let_201 false _let_198 false _let_192 false _let_142 true _let_190 false _let_184 true _let_188 true _let_189)) :args (_let_23 false tptp.hskp22)) :args (_let_183 false _let_23)))) (let ((_let_765 (_let_145))) (let ((_let_766 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_765) :args (tptp.a138 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X93) true))))) :args _let_765)))) (let ((_let_767 (MACRO_RESOLUTION_TRUST _let_766 _let_764 :args (_let_182 true _let_181)))) (let ((_let_768 (AND_ELIM _let_278 :args (79)))) (let ((_let_769 (AND_ELIM _let_278 :args (24)))) (let ((_let_770 (not _let_18))) (let ((_let_771 (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_770))))) (let ((_let_772 (REORDERING (CNF_AND_POS :args (_let_18 2)) :args ((or _let_15 _let_770))))) (let ((_let_773 (REORDERING (CNF_AND_POS :args (_let_18 3)) :args ((or _let_13 _let_770))))) (let ((_let_774 (not _let_146))) (let ((_let_775 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_16 _let_14 _let_12 _let_774))) _let_773 _let_772 _let_771 :args ((or _let_770 _let_774) true _let_12 true _let_14 true _let_16)))) (let ((_let_776 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_723 :args (tptp.a147 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_722)) :args _let_721)))) (let ((_let_777 (forall ((X103 $$unsorted)) (or (tptp.c2_1 X103) (not (tptp.c0_1 X103)) (not (tptp.c3_1 X103)))))) (let ((_let_778 (forall ((X55 $$unsorted)) (or (tptp.c0_1 X55) (not (tptp.c2_1 X55)) (not (tptp.c3_1 X55)))))) (let ((_let_779 (or _let_50 _let_48 _let_136))) (let ((_let_780 (tptp.c2_1 tptp.a98))) (let ((_let_781 (or _let_122 _let_780 _let_366))) (let ((_let_782 (tptp.c1_1 tptp.a106))) (let ((_let_783 (not _let_782))) (let ((_let_784 (or _let_783 _let_380 _let_379))) (let ((_let_785 (or _let_91 _let_782 _let_379))) (let ((_let_786 (or _let_91 _let_782 _let_380))) (let ((_let_787 (not _let_780))) (let ((_let_788 (or _let_120 _let_366 _let_787))) (let ((_let_789 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_145 (= X93 X103)))))) (let ((_let_790 (MACRO_RESOLUTION_TRUST _let_789 _let_767 :args ((not _let_777) true _let_145)))) (let ((_let_791 (AND_ELIM _let_278 :args (87)))) (let ((_let_792 (MACRO_RESOLUTION_TRUST _let_420 _let_418 _let_417 _let_416 :args ((or _let_415 _let_419) true _let_91 false _let_93 false _let_94)))) (let ((_let_793 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_382 (= X25 X55)))))) (let ((_let_794 (or _let_532 _let_62 _let_60))) (let ((_let_795 (tptp.c2_1 tptp.a147))) (let ((_let_796 (or _let_14 _let_795 _let_12))) (let ((_let_797 (not _let_795))) (let ((_let_798 (or _let_16 _let_14 _let_797))) (let ((_let_799 (not _let_106))) (let ((_let_800 (or _let_104 _let_102 _let_799))) (let ((_let_801 (forall ((W $$unsorted)) (or (tptp.c0_1 W) (tptp.c3_1 W) (not (tptp.c2_1 W)))))) (let ((_let_802 (or _let_62 _let_60 _let_568))) (let ((_let_803 (or _let_91 _let_783 _let_380))) (let ((_let_804 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_805 (not _let_804))) (let ((_let_806 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_807 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_808 (or _let_807 _let_806 _let_805))) (let ((_let_809 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_810 (not _let_809))) (let ((_let_811 (or _let_807 _let_810 _let_805))) (let ((_let_812 (or _let_809 _let_806 _let_805))) (let ((_let_813 (not _let_377))) (let ((_let_814 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (tptp.a121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)))) (let ((_let_815 (or _let_48 _let_140 _let_136))) (let ((_let_816 (or _let_137 _let_48 _let_136))) (let ((_let_817 (or _let_108 _let_488 _let_148))) (let ((_let_818 (or _let_108 _let_149 _let_488))) (let ((_let_819 (or _let_193 _let_647 _let_196))) (let ((_let_820 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_819)) :args ((or _let_647 _let_196 _let_193 (not _let_819)))) _let_681 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_628 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X79) true))))) :args _let_626)) _let_678 _let_677 _let_676 _let_748 _let_675 :args ((or tptp.hskp18 _let_325 _let_680) true _let_193 false _let_819 false _let_195 true _let_647 true _let_197 false _let_620 true _let_648)))) (let ((_let_821 (not _let_82))) (let ((_let_822 (or _let_80 _let_78 _let_821))) (let ((_let_823 (not _let_83))) (let ((_let_824 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_822)) :args ((or _let_80 _let_78 _let_821 (not _let_822)))) (REORDERING (CNF_AND_POS :args (_let_83 3)) :args ((or _let_79 _let_823))) (REORDERING (CNF_AND_POS :args (_let_83 2)) :args ((or _let_81 _let_823))) (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_82 _let_823))) (AND_ELIM _let_278 :args (10)) (AND_ELIM _let_278 :args (45)) _let_280 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_567 (= X21 X27)))) _let_651 _let_589 _let_654 _let_585 _let_655 _let_579 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (tptp.a110 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_395)) :args _let_394)) _let_672 _let_280 _let_745 _let_280 _let_402 _let_280 _let_671 _let_744 _let_404 :args ((or tptp.hskp18 _let_377 _let_190 _let_725) true _let_78 true _let_80 false _let_82 false _let_83 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X105)))))) (let ((_let_831 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_665)) :args _let_512)))) (let ((_let_832 (not _let_166))) (let ((_let_833 (_let_182))) (let ((_let_834 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_833)) :args _let_833)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_182) _let_145))) (REFL :args (_let_832)) :args _let_239)) _let_767 :args (_let_832 true _let_145)))) (let ((_let_835 (not _let_168))) (let ((_let_836 (not _let_163))) (let ((_let_837 (REFL :args (_let_166)))) (let ((_let_838 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_161 _let_160 _let_162 _let_836))) (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_161 _let_165 _let_167 _let_835))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_166 2)) (CONG _let_837 (MACRO_SR_PRED_INTRO :args ((= (not _let_165) _let_164))) :args _let_239)) :args ((or _let_164 _let_166))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_166 1)) (CONG _let_837 (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_159))) :args _let_239)) :args ((or _let_159 _let_166))) (CNF_OR_NEG :args (_let_166 0)) :args ((or _let_166 _let_836 _let_835) true _let_162 false _let_164 false _let_159 true _let_161)))) (let ((_let_839 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_527 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_526)) :args _let_525)))) (let ((_let_840 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_169 (= X28 X104)))))) (let ((_let_841 (AND_ELIM _let_278 :args (88)))) (let ((_let_842 (MACRO_RESOLUTION_TRUST _let_719 _let_718 _let_720 _let_280 _let_559 _let_558 _let_557 _let_717 _let_550 _let_713 _let_841 _let_280 _let_707 _let_840 _let_706 _let_280 _let_839 _let_506 _let_838 _let_834 _let_705 _let_831 _let_515 _let_507 _let_505 _let_280 _let_703 _let_830 _let_503 _let_776 _let_702 _let_775 _let_701 _let_769 _let_685 _let_768 _let_280 _let_767 _let_643 _let_178 (MACRO_RESOLUTION_TRUST _let_434 _let_311 _let_310 _let_309 _let_307 _let_547 _let_280 _let_549 _let_827 _let_826 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_300 :args (tptp.a103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_299)) :args _let_298)) _let_497 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_817)) :args ((or _let_108 _let_148 _let_488 _let_829))) _let_497 _let_483 _let_481 _let_480 :args ((or _let_479 _let_495 _let_829) false _let_191 true _let_108 false _let_110 false _let_111)) _let_483 _let_481 _let_480 _let_478 _let_791 _let_280 _let_790 _let_414 _let_792 _let_424 _let_425 _let_426 _let_280 _let_427 _let_828 _let_349 _let_344 (MACRO_RESOLUTION_TRUST _let_762 _let_311 _let_310 _let_309 _let_307 _let_547 _let_280 _let_549 _let_827 _let_826 _let_497 _let_483 _let_481 _let_480 _let_478 _let_825 _let_412 _let_411 _let_408 _let_824 _let_703 _let_730 _let_702 _let_701 _let_687 _let_685 _let_339 _let_341 _let_468 :args ((or tptp.hskp18 _let_202 _let_189 _let_495 _let_680) true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0 false tptp.ndr1_0 true _let_529 true _let_530 true _let_818 false _let_191 true _let_108 false _let_110 false _let_111 false _let_112 false tptp.hskp4 true tptp.hskp20 true _let_36 false _let_378 false _let_377 true _let_154 true _let_725 true _let_151 true _let_206 true _let_190 true _let_188 false _let_184 false _let_203 true _let_205)) _let_388 _let_820 _let_437 _let_440 _let_444 _let_679 _let_501 _let_468 :args ((or _let_202 _let_446) true _let_127 true _let_129 false _let_131 false _let_132 false tptp.hskp0 false tptp.ndr1_0 true _let_529 true _let_530 true _let_818 true _let_190 false _let_191 true _let_817 true _let_108 false _let_110 false _let_111 false _let_112 false tptp.hskp4 false tptp.ndr1_0 true _let_777 true tptp.hskp7 true _let_95 false _let_381 false _let_382 false _let_383 false tptp.ndr1_0 true tptp.hskp1 true _let_125 true _let_315 true _let_313 false _let_189 false _let_367 false _let_325 true tptp.hskp18 true _let_46 false _let_201 false _let_198 false _let_192 true _let_205)) _let_339 _let_341 _let_468 :args (_let_202 true _let_176 false _let_174 false tptp.ndr1_0 true _let_72 true _let_74 false _let_76 true _let_173 false _let_77 true _let_172 false tptp.hskp11 false tptp.ndr1_0 false _let_11 true _let_170 false tptp.hskp25 false tptp.ndr1_0 true _let_169 true tptp.hskp16 true _let_168 true _let_166 true _let_59 false _let_163 false _let_158 false _let_156 false _let_155 false tptp.ndr1_0 true _let_154 true _let_153 true _let_152 true _let_147 true _let_151 true _let_146 true _let_206 false _let_18 true _let_188 false tptp.hskp24 false tptp.ndr1_0 true _let_145 true _let_189 true _let_144 true _let_142 false _let_184 false _let_203 true _let_205)))) (let ((_let_843 (tptp.c2_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_844 (not _let_843))) (let ((_let_845 (tptp.c1_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_846 (not _let_845))) (let ((_let_847 (tptp.c0_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_848 (or _let_847 _let_846 _let_844))) (let ((_let_849 (not _let_491))) (let ((_let_850 (_let_849))) (let ((_let_851 (REFL :args (_let_848)))) (let ((_let_852 (MACRO_RESOLUTION_TRUST _let_494 (MACRO_RESOLUTION_TRUST _let_493 _let_842 :args (_let_489 false _let_202)) _let_497 _let_481 _let_480 :args ((or _let_479 _let_495) false _let_489 false _let_191 false _let_110 false _let_111)))) (let ((_let_853 (AND_ELIM _let_278 :args (59)))) (let ((_let_854 (AND_ELIM _let_278 :args (17)))) (let ((_let_855 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_522 :args (tptp.a124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_521)) :args _let_520)))) (let ((_let_856 (not _let_53))) (let ((_let_857 (REORDERING (CNF_AND_POS :args (_let_53 1)) :args ((or _let_52 _let_856))))) (let ((_let_858 (REORDERING (CNF_AND_POS :args (_let_53 2)) :args ((or _let_51 _let_856))))) (let ((_let_859 (REORDERING (CNF_AND_POS :args (_let_53 3)) :args ((or _let_49 _let_856))))) (let ((_let_860 (REORDERING (CNF_OR_POS :args (_let_815)) :args ((or _let_48 _let_136 _let_140 (not _let_815)))))) (let ((_let_861 (not _let_779))) (let ((_let_862 (REORDERING (CNF_OR_POS :args (_let_779)) :args ((or _let_50 _let_48 _let_136 _let_861))))) (let ((_let_863 (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_50 _let_136 _let_137 _let_139))))) (let ((_let_864 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_462 :args (tptp.a124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_461)) :args _let_460)))) (let ((_let_865 (_let_134))) (let ((_let_866 (ASSUME :args _let_865))) (let ((_let_867 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_866 :args (tptp.a124 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c1_1 V) true))))) :args _let_865)))) (let ((_let_868 (AND_ELIM _let_278 :args (38)))) (let ((_let_869 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_134 (= V X14)))))) (let ((_let_870 (tptp.c3_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32))) (let ((_let_871 (or _let_847 _let_870 _let_846))) (let ((_let_872 (not _let_870))) (let ((_let_873 (or _let_846 _let_844 _let_872))) (let ((_let_874 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_270 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_269)) :args _let_268)))) (let ((_let_875 (REORDERING (CNF_OR_POS :args (_let_785)) :args ((or _let_91 _let_379 _let_782 (not _let_785)))))) (let ((_let_876 (REORDERING (CNF_OR_POS :args (_let_784)) :args ((or _let_380 _let_379 _let_783 (not _let_784)))))) (let ((_let_877 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c2_1 X9) false))))) :args _let_350)))) (let ((_let_878 (REORDERING (CNF_OR_POS :args (_let_794)) :args ((or _let_62 _let_60 _let_532 (not _let_794)))))) (let ((_let_879 (_let_801))) (let ((_let_880 ((not (= (tptp.c0_1 W) true))))) (let ((_let_881 (ASSUME :args _let_879))) (let ((_let_882 (AND_ELIM _let_278 :args (30)))) (let ((_let_883 (MACRO_RESOLUTION_TRUST _let_288 (MACRO_RESOLUTION_TRUST _let_297 (MACRO_RESOLUTION_TRUST _let_301 (MACRO_RESOLUTION_TRUST _let_882 _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_881 :args (tptp.a124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_880)) :args _let_879)) _let_867 (REORDERING (CNF_OR_POS :args (_let_816)) :args ((or _let_48 _let_136 _let_137 (not _let_816)))) _let_863 _let_860 _let_859 _let_858 _let_857 _let_854 _let_853 _let_280 _let_814 _let_878 _let_584 _let_579 _let_551 (REORDERING (CNF_OR_NEG :args (_let_533 2)) :args ((or _let_63 _let_533))) (REORDERING (CNF_OR_NEG :args (_let_533 1)) :args ((or _let_568 _let_533))) _let_578 _let_280 _let_594 _let_793 _let_576 _let_424 _let_792 _let_414 _let_791 _let_280 _let_790 _let_478 _let_484 _let_855 _let_523 _let_518 _let_444 _let_440 _let_437 (MACRO_RESOLUTION_TRUST _let_864 _let_862 _let_454 _let_859 _let_858 _let_857 _let_449 _let_280 _let_854 _let_355 _let_853 _let_280 _let_877 _let_793 _let_876 _let_408 _let_424 _let_875 _let_411 _let_792 _let_418 _let_417 _let_416 _let_412 _let_414 _let_825 _let_791 _let_280 _let_790 _let_478 _let_484 _let_874 _let_523 (MACRO_RESOLUTION_TRUST _let_864 _let_862 _let_454 _let_859 _let_858 _let_857 _let_449 _let_280 _let_854 _let_355 _let_853 _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_352 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_351)) :args _let_350)) _let_793 (REORDERING (CNF_OR_POS :args (_let_873)) :args ((or _let_846 _let_844 _let_872 (not _let_873)))) _let_408 _let_424 (REORDERING (CNF_OR_POS :args (_let_871)) :args ((or _let_847 _let_846 _let_870 (not _let_871)))) _let_411 _let_792 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_716 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_715)) :args _let_714)) _let_412 _let_414 _let_720 _let_280 _let_825 _let_791 _let_280 _let_790 _let_776 _let_478 _let_775 _let_484 _let_769 _let_523 _let_768 _let_280 _let_767 _let_518 _let_178 _let_177 :args ((or tptp.hskp18 _let_174 _let_492 _let_142 _let_847 _let_846 _let_844) true _let_779 false _let_222 true _let_48 true _let_50 false _let_52 false _let_331 false tptp.ndr1_0 false _let_53 true _let_318 false tptp.hskp17 false tptp.ndr1_0 true _let_316 true _let_778 true _let_873 true _let_377 true _let_382 false _let_870 true _let_378 true _let_381 false _let_871 false _let_36 false _let_95 false _let_173 false tptp.ndr1_0 false tptp.hskp20 false tptp.hskp7 false tptp.ndr1_0 true _let_777 true _let_147 true tptp.hskp4 true _let_146 true _let_112 false _let_18 false _let_150 false tptp.hskp24 false tptp.ndr1_0 true _let_145 false _let_151 true _let_144 true _let_143)) _let_518 _let_177 (MACRO_RESOLUTION_TRUST _let_869 _let_868 _let_280 _let_867 _let_864 _let_863 _let_862 _let_860 _let_859 _let_858 _let_857 _let_855 _let_854 _let_730 _let_853 _let_280 _let_824 _let_793 _let_408 _let_424 _let_411 _let_792 _let_412 _let_414 _let_825 _let_791 _let_280 _let_790 _let_478 _let_852 _let_427 _let_828 _let_388 _let_820 _let_679 _let_501 :args ((or tptp.hskp18 _let_190 _let_446) false _let_135 false tptp.ndr1_0 true _let_134 true _let_222 true _let_138 true _let_779 true _let_137 true _let_48 true _let_50 false _let_52 false _let_815 false _let_53 false _let_151 false tptp.hskp17 false tptp.ndr1_0 false _let_725 true _let_778 true _let_377 true _let_382 true _let_378 true _let_381 false _let_36 false _let_95 false tptp.hskp20 false tptp.hskp7 false tptp.ndr1_0 true _let_777 true tptp.hskp4 true _let_112 true tptp.hskp1 true _let_125 false _let_367 false _let_325 false _let_198 false _let_192)) _let_502 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_848 2)) (CONG _let_851 (MACRO_SR_PRED_INTRO :args ((= (not _let_844) _let_843))) :args _let_239)) :args ((or _let_843 _let_848))) (CNF_OR_NEG :args (_let_848 0)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_848 1)) (CONG _let_851 (MACRO_SR_PRED_INTRO :args ((= (not _let_846) _let_845))) :args _let_239)) :args ((or _let_845 _let_848))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_850)) :args _let_850)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_849) _let_491))) (REFL :args ((not _let_848))) :args _let_239)) _let_595 _let_601 _let_700 _let_600 _let_699 _let_842 _let_599 _let_605 :args ((or tptp.hskp18 _let_190) true _let_779 false _let_222 true _let_48 true _let_50 false _let_52 false _let_331 false tptp.ndr1_0 false _let_53 true _let_318 false tptp.hskp17 false tptp.ndr1_0 true _let_316 true _let_778 true _let_784 true _let_377 true _let_382 false _let_782 true _let_378 true _let_381 true _let_91 false _let_93 false _let_94 false _let_36 false _let_95 false tptp.hskp20 false tptp.hskp7 false tptp.ndr1_0 true _let_777 true tptp.hskp4 true _let_112 false _let_785 false _let_150 false _let_174 false _let_151 true _let_143 true _let_142 true _let_492 false _let_843 true _let_847 false _let_845 true _let_848 true _let_491 true _let_543 true _let_536 false _let_541 false _let_698 false _let_202 false _let_534 true _let_545)) _let_502 _let_577 _let_595 _let_601 _let_700 (MACRO_RESOLUTION_TRUST _let_699 _let_842 :args (_let_698 false _let_202)) _let_600 _let_599 _let_605 :args (_let_190 false tptp.ndr1_0 true _let_801 true _let_134 true _let_816 true _let_138 true _let_137 true _let_48 true _let_50 false _let_52 false _let_53 false tptp.hskp17 false tptp.ndr1_0 true _let_377 true _let_794 true _let_60 false _let_66 true _let_264 true _let_62 true _let_532 false tptp.hskp15 false tptp.ndr1_0 true _let_533 true _let_778 true _let_564 true _let_382 true _let_381 false _let_95 false tptp.hskp7 false tptp.ndr1_0 true _let_777 true tptp.hskp4 true _let_112 false _let_815 false _let_150 false _let_151 true _let_142 true _let_201 false _let_46 false tptp.hskp18 true _let_492 true _let_565 true _let_491 true _let_543 true _let_536 false _let_698 false _let_541 false _let_534 true _let_545)) :args (_let_262 false _let_190)) :args (_let_293 false _let_262)) :args (_let_101 true _let_100)))) (let ((_let_884 ((not (= (tptp.c0_1 V) true))))) (let ((_let_885 (not _let_107))) (let ((_let_886 (not _let_373))) (let ((_let_887 (_let_886))) (let ((_let_888 (MACRO_RESOLUTION_TRUST _let_719 _let_718 _let_720 _let_280 _let_559 _let_558 _let_557 _let_717 _let_550 _let_713 _let_841 _let_280 _let_707 _let_840 _let_706 _let_280 _let_839 _let_506 _let_838 _let_834 _let_705 _let_831 _let_515 _let_507 _let_505 _let_280 _let_703 _let_830 _let_503 _let_523 _let_484 _let_478 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_522 :args (tptp.a98 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_521)) :args _let_520)) (REORDERING (CNF_OR_POS :args (_let_788)) :args ((or _let_120 _let_366 _let_787 (not _let_788)))) _let_703 (REORDERING (CNF_OR_POS :args (_let_781)) :args ((or _let_122 _let_366 _let_780 (not _let_781)))) _let_706 _let_280 _let_431 _let_430 _let_429 _let_707 _let_427 _let_713 _let_868 _let_280 _let_717 _let_869 _let_720 _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_866 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_884)) :args _let_865)) _let_874 (REORDERING (CNF_OR_POS :args (_let_786)) :args ((or _let_91 _let_380 _let_782 (not _let_786)))) _let_875 _let_876 _let_506 _let_877 _let_705 _let_355 _let_515 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (tptp.a98 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_513)) :args _let_512)) _let_449 _let_280 (AND_ELIM _let_278 :args (65)) _let_280 _let_454 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_222 (= X15 X67)))) _let_864 _let_862 _let_859 _let_858 _let_857 _let_854 _let_853 _let_280 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_716 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c3_1 X3) true))))) :args _let_714)) _let_720 _let_280 (REORDERING (CNF_OR_POS :args (_let_812)) :args ((or _let_806 _let_805 _let_809 (not _let_812)))) _let_874 (REORDERING (CNF_OR_POS :args (_let_811)) :args ((or _let_807 _let_805 _let_810 (not _let_811)))) _let_875 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_808 2)) (CONG (REFL :args (_let_808)) (MACRO_SR_PRED_INTRO :args ((= (not _let_805) _let_804))) :args _let_239)) :args ((or _let_804 _let_808))) (CNF_OR_NEG :args (_let_808 1)) (CNF_OR_NEG :args (_let_808 0)) (REORDERING (CNF_OR_POS :args (_let_803)) :args ((or _let_91 _let_380 _let_783 (not _let_803)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_400 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_399)) :args _let_398)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_887)) :args _let_887)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_886) _let_373))) (REFL :args ((not _let_808))) :args _let_239)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_500 :args (tptp.a106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_704)) :args _let_498)) _let_592 _let_280 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_396 :args (tptp.a121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_395)) :args _let_394)) _let_594 _let_590 (REORDERING (CNF_OR_POS :args (_let_802)) :args ((or _let_62 _let_60 _let_568 (not _let_802)))) _let_551 _let_589 _let_878 _let_882 _let_280 _let_585 _let_584 _let_582 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_881 :args (tptp.a104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_880)) :args _let_879)) _let_579 (REORDERING (CNF_OR_POS :args (_let_800)) :args ((or _let_104 _let_102 _let_799 (not _let_800)))) (REORDERING (AND_ELIM _let_278 :args (107)) :args ((or tptp.hskp6 tptp.hskp15 tptp.hskp16))) _let_883 (REORDERING (CNF_AND_POS :args (_let_107 3)) :args ((or _let_103 _let_885))) (REORDERING (CNF_AND_POS :args (_let_107 2)) :args ((or _let_105 _let_885))) (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_106 _let_885))) _let_506 (AND_ELIM _let_278 :args (5)) _let_705 (AND_ELIM _let_278 :args (39)) _let_280 _let_515 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_134 (= V X16)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_156 (= X66 X73)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_866 :args (tptp.a147 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_884)) :args _let_865)) (AND_ELIM _let_278 :args (68)) _let_280 _let_883 (REORDERING (CNF_OR_POS :args (_let_798)) :args ((or _let_16 _let_14 _let_797 (not _let_798)))) _let_412 (REORDERING (CNF_OR_POS :args (_let_796)) :args ((or _let_14 _let_12 _let_795 (not _let_796)))) _let_411 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_407 :args (tptp.a147 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_406)) :args _let_405)) _let_408 _let_814 _let_424 _let_792 _let_416 _let_417 _let_418 _let_414 _let_791 _let_789 _let_766 _let_764 _let_280 :args ((or tptp.hskp4 _let_16 _let_14 _let_12 _let_147 _let_813) false _let_173 false tptp.ndr1_0 true _let_812 true _let_174 true _let_809 true _let_785 false _let_804 true _let_806 true _let_807 true _let_782 false _let_811 true _let_808 false _let_803 false _let_374 false tptp.ndr1_0 true _let_373 false _let_491 true _let_570 true _let_802 false _let_533 true _let_567 false _let_532 false _let_264 false tptp.ndr1_0 true _let_566 true _let_60 true _let_62 true _let_801 false _let_66 true _let_800 false tptp.hskp15 true tptp.hskp6 true _let_102 true _let_104 false _let_106 true tptp.hskp16 false _let_107 true _let_59 false tptp.hskp5 false tptp.ndr1_0 false _let_158 true (forall ((X16 $$unsorted)) (or (tptp.c0_1 X16) (tptp.c1_1 X16) (not (tptp.c2_1 X16)))) false _let_156 true _let_134 false (forall ((X73 $$unsorted)) (or (tptp.c1_1 X73) (tptp.c2_1 X73) (not (tptp.c0_1 X73)))) false tptp.ndr1_0 true tptp.hskp6 true _let_798 true tptp.hskp20 false _let_795 true _let_36 false _let_796 false _let_378 false _let_794 true _let_382 true _let_381 false _let_94 false _let_93 true _let_91 false _let_95 false tptp.hskp7 true _let_777 true _let_145 true _let_181 false tptp.ndr1_0)) _let_793 _let_424 _let_792 _let_418 _let_417 _let_416 _let_414 _let_791 _let_280 _let_790 :args ((or tptp.hskp4 _let_16 _let_14 _let_12 _let_147 _let_143) true _let_788 false _let_151 false _let_780 false _let_154 false tptp.ndr1_0 true _let_120 true _let_122 false _let_124 true tptp.hskp25 false _let_125 true _let_11 false tptp.hskp1 false tptp.ndr1_0 false _let_172 true _let_135 false _let_173 false tptp.ndr1_0 true _let_134 true _let_174 true _let_786 true _let_785 true _let_782 true tptp.hskp16 false _let_784 true _let_59 false _let_316 false _let_158 false _let_781 false _let_318 false tptp.ndr1_0 false _let_156 false tptp.ndr1_0 true _let_331 true (forall ((X67 $$unsorted)) (or (tptp.c1_1 X67) (tptp.c3_1 X67) (not (tptp.c2_1 X67)))) true _let_222 true _let_779 true _let_48 true _let_50 false _let_52 false _let_53 false tptp.hskp17 false tptp.ndr1_0 true _let_377 true _let_778 true _let_382 true _let_381 true _let_91 false _let_93 false _let_94 false _let_95 false tptp.hskp7 false tptp.ndr1_0 true _let_777)) _let_776 _let_775 _let_773 _let_772 _let_771 _let_769 _let_768 _let_280 _let_767 _let_178 _let_177 :args (_let_142 true _let_176 false _let_174 false tptp.ndr1_0 true _let_72 true _let_74 false _let_76 true _let_173 false _let_77 true _let_172 false tptp.hskp11 false tptp.ndr1_0 false _let_11 true _let_170 false tptp.hskp25 false tptp.ndr1_0 true _let_169 true tptp.hskp16 true _let_168 true _let_166 true _let_59 false _let_163 false _let_158 false _let_156 false _let_155 false tptp.ndr1_0 true _let_154 true _let_153 true _let_152 true _let_151 true _let_150 false _let_112 false tptp.hskp4 true _let_147 true _let_146 true _let_12 true _let_14 true _let_16 false _let_18 false tptp.hskp24 false tptp.ndr1_0 true _let_145 true _let_144 true _let_143)))) (let ((_let_889 (MACRO_RESOLUTION_TRUST _let_437 (MACRO_RESOLUTION_TRUST _let_440 (MACRO_RESOLUTION_TRUST _let_444 _let_888 :args (_let_201 false _let_142)) :args (_let_439 false _let_201)) :args (_let_47 true _let_46)))) (let ((_let_890 (MACRO_RESOLUTION_TRUST _let_478 (MACRO_RESOLUTION_TRUST _let_852 (MACRO_RESOLUTION_TRUST _let_501 _let_888 :args (_let_192 false _let_142)) :args (_let_479 false _let_192)) :args (_let_113 true _let_112)))) (let ((_let_891 (MACRO_RESOLUTION_TRUST _let_854 (MACRO_RESOLUTION_TRUST _let_853 _let_280 (MACRO_RESOLUTION_TRUST _let_793 (MACRO_RESOLUTION_TRUST _let_424 (MACRO_RESOLUTION_TRUST _let_792 (MACRO_RESOLUTION_TRUST _let_414 (MACRO_RESOLUTION_TRUST _let_791 _let_890 _let_280 _let_790 :args (tptp.hskp7 true tptp.hskp4 false tptp.ndr1_0 true _let_777)) :args (_let_95 false tptp.hskp7)) :args (_let_419 false _let_95)) :args ((not _let_382) true _let_381)) :args ((not _let_778) true _let_382)) (MACRO_RESOLUTION_TRUST _let_408 (MACRO_RESOLUTION_TRUST _let_411 (MACRO_RESOLUTION_TRUST _let_412 (MACRO_RESOLUTION_TRUST _let_825 _let_890 _let_889 :args (tptp.hskp20 true tptp.hskp4 true tptp.hskp18)) :args (_let_36 false tptp.hskp20)) :args (_let_409 false _let_36)) :args (_let_813 true _let_378)) :args (tptp.hskp17 false tptp.ndr1_0 true _let_778 true _let_377)) :args (_let_53 false tptp.hskp17)))) (let ((_let_892 (MACRO_RESOLUTION_TRUST _let_857 _let_891 :args (_let_52 false _let_53)))) (let ((_let_893 (MACRO_RESOLUTION_TRUST _let_858 _let_891 :args (_let_51 false _let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_869 (MACRO_RESOLUTION_TRUST _let_868 (MACRO_RESOLUTION_TRUST _let_427 (MACRO_RESOLUTION_TRUST _let_828 (MACRO_RESOLUTION_TRUST _let_388 (MACRO_RESOLUTION_TRUST _let_820 _let_889 (MACRO_RESOLUTION_TRUST _let_679 _let_888 :args (_let_198 false _let_142)) :args (_let_325 true tptp.hskp18 false _let_198)) :args (_let_367 false _let_325)) :args (_let_428 false _let_367)) :args (_let_126 true _let_125)) _let_280 (MACRO_RESOLUTION_TRUST _let_864 (MACRO_RESOLUTION_TRUST _let_862 _let_893 (MACRO_RESOLUTION_TRUST _let_859 _let_891 :args (_let_49 false _let_53)) _let_892 :args (_let_861 true _let_50 true _let_48 false _let_52)) :args ((not _let_222) true _let_779)) :args (_let_135 true tptp.hskp1 false tptp.ndr1_0 true _let_222)) (MACRO_RESOLUTION_TRUST _let_867 (MACRO_RESOLUTION_TRUST _let_863 _let_893 _let_892 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_50 _let_136 _let_140 (not _let_141)))) _let_893 _let_892 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (tptp.a124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_442)) :args _let_441)) _let_888 :args (_let_141 false _let_142)) :args (_let_140 true _let_50 false _let_52 false _let_141)) :args (_let_139 true _let_50 false _let_52 true _let_137)) :args ((not _let_134) true _let_138)) :args (false false _let_135 true _let_134)) :args (_let_133 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.71 )
% 0.22/0.71 % SZS output end Proof for SYN501+1
% 0.22/0.71 % cvc5---1.0.5 exiting
% 0.22/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------