TSTP Solution File: SYN116-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:01:32 EDT 2023
% Result : Unsatisfiable 62.80s 63.01s
% Output : Proof 62.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.17 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n014.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Sat Aug 26 18:40:02 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.23/0.56 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9vm1PgXXnk/cvc5---1.0.5_12814.p...
% 0.23/0.62 ------- get file name : TPTP file name is SYN116-10
% 0.23/0.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12814.smt2...
% 0.23/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.47/10.65 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.45/15.69 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.30/20.73 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.53/25.76 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.58/30.80 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.66/35.84 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.64/40.88 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.59/45.92 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.77/50.96 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.74/56.00 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.86/61.04 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 62.80/63.01 % SZS status Unsatisfiable for SYN116-10
% 62.80/63.01 % SZS output start Proof for SYN116-10
% 62.80/63.01 (
% 62.80/63.01 (let ((_let_1 (tptp.k5 tptp.b))) (let ((_let_2 (not (= _let_1 tptp.true)))) (let ((_let_3 (tptp.ifeq (tptp.s4 tptp.e) tptp.true (tptp.ifeq (tptp.n1 tptp.b tptp.b tptp.b) tptp.true _let_1 tptp.true) tptp.true))) (let ((_let_4 (= _let_3 tptp.true))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.p3 B C D) tptp.true (tptp.ifeq (tptp.l1 A C) tptp.true (tptp.s4 A) tptp.true) tptp.true) tptp.true)))) (let ((_let_6 (tptp.q1 tptp.d tptp.d tptp.d))) (let ((_let_7 (tptp.n0 tptp.c tptp.d))) (let ((_let_8 (forall ((J $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.k2 J J) tptp.true (tptp.ifeq (tptp.q0 I H) tptp.true (tptp.p3 H H H) tptp.true) tptp.true) tptp.true)))) (let ((_let_9 (tptp.m3 tptp.b tptp.b tptp.b))) (let ((_let_10 (tptp.r0 tptp.b))) (let ((_let_11 (tptp.s2 tptp.d))) (let ((_let_12 (tptp.k3 tptp.c tptp.c tptp.c))) (let ((_let_13 (tptp.r2 tptp.c))) (let ((_let_14 (tptp.r2 tptp.a))) (let ((_let_15 (tptp.l2 tptp.e tptp.b))) (let ((_let_16 (tptp.r1 tptp.d))) (let ((_let_17 (tptp.s0 tptp.d))) (let ((_let_18 (tptp.l1 tptp.e tptp.c))) (let ((_let_19 (tptp.k0 tptp.b))) (let ((_let_20 (tptp.ifeq (tptp.l1 tptp.e tptp.e) tptp.true (tptp.k2 tptp.e tptp.e) tptp.true))) (let ((_let_21 (= _let_20 tptp.true))) (let ((_let_22 (tptp.q1 tptp.b tptp.b tptp.b))) (let ((_let_23 (tptp.k0 tptp.e))) (let ((_let_24 (tptp.l0 tptp.b))) (let ((_let_25 (tptp.m0 tptp.c tptp.b tptp.a))) (let ((_let_26 (tptp.s0 tptp.e))) (let ((_let_27 (tptp.l0 tptp.c))) (let ((_let_28 (tptp.r0 tptp.e))) (let ((_let_29 (tptp.p1 tptp.a tptp.a tptp.a))) (let ((_let_30 (tptp.l0 tptp.a))) (let ((_let_31 (tptp.q0 tptp.b tptp.e))) (let ((_let_32 (forall ((D $$unsorted)) (= (tptp.ifeq (tptp.r0 D) tptp.true (tptp.n1 D D D) tptp.true) tptp.true)))) (let ((_let_33 (tptp.q0 tptp.d tptp.d))) (let ((_let_34 (tptp.m1 tptp.e tptp.e tptp.e))) (let ((_let_35 (= (tptp.ifeq _let_28 tptp.true _let_34 tptp.true) tptp.true))) (let ((_let_36 (tptp.m1 tptp.b tptp.b tptp.b))) (let ((_let_37 (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.n0 H G) tptp.true (tptp.l1 G G) tptp.true) tptp.true)))) (let ((_let_38 (= _let_31 tptp.true))) (let ((_let_39 (= _let_10 tptp.true))) (let ((_let_40 (tptp.n0 tptp.d tptp.e))) (let ((_let_41 (= _let_40 tptp.true))) (let ((_let_42 (= _let_17 tptp.true))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_44 (io_tptp.n0_6 i_tptp.d_2 i_tptp.e_4))) (let ((_let_45 (io_tptp.s0_3 i_tptp.d_2))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (io_tptp.q0_5 i_tptp.b_9 i_tptp.e_4))) (let ((_let_48 (= _let_45 _let_47))) (let ((_let_49 (io_tptp.k2_23 i_tptp.e_4 i_tptp.e_4))) (let ((_let_50 (io_tptp.l1_16 i_tptp.e_4 i_tptp.e_4))) (let ((_let_51 (= _let_45 (tptp.ifeq _let_50 _let_45 _let_49 _let_45)))) (let ((_let_52 (= _let_49 (tptp.ifeq _let_50 _let_50 _let_49 _let_45)))) (let ((_let_53 (= _let_45 (tptp.ifeq _let_44 _let_45 _let_50 _let_45)))) (let ((_let_54 (= _let_50 (tptp.ifeq _let_44 _let_44 _let_50 _let_45)))) (let ((_let_55 (io_tptp.s4_46 i_tptp.e_4))) (let ((_let_56 (= _let_45 _let_55))) (let ((_let_57 (tptp.ifeq _let_50 _let_45 _let_55 _let_45))) (let ((_let_58 (io_tptp.p3_35 i_tptp.e_4 i_tptp.e_4 i_tptp.e_4))) (let ((_let_59 (= _let_45 (tptp.ifeq _let_58 _let_45 _let_57 _let_45)))) (let ((_let_60 (tptp.ifeq _let_47 _let_45 _let_58 _let_45))) (let ((_let_61 (= _let_45 (tptp.ifeq _let_49 _let_45 _let_60 _let_45)))) (let ((_let_62 (= _let_60 (tptp.ifeq _let_49 _let_49 _let_60 _let_45)))) (let ((_let_63 (= _let_58 (tptp.ifeq _let_47 _let_47 _let_58 _let_45)))) (let ((_let_64 (= _let_57 (tptp.ifeq _let_58 _let_58 _let_57 _let_45)))) (let ((_let_65 (= _let_55 (tptp.ifeq _let_50 _let_50 _let_55 _let_45)))) (let ((_let_66 (= tptp.true _let_44))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_42)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_17) (= tptp.true _let_45)))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_41)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_40) _let_66))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_66 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_69 (= tptp.true _let_47))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_38)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_31) _let_69))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_69 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_71 (= tptp.true (tptp.ifeq _let_50 tptp.true _let_49 tptp.true)))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_21)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_20) _let_71))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_71 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_73 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (_let_73))) (let ((_let_76 (forall ((b_H it_13_$$unsorted) (b_G it_13_$$unsorted)) (let ((_let_1 (io_tptp.s0_3 i_tptp.d_2))) (= _let_1 (tptp.ifeq (io_tptp.n0_6 b_H b_G) _let_1 (io_tptp.l1_16 b_G b_G) _let_1)))))) (let ((_let_77 (forall ((b_H it_13_$$unsorted) (b_G it_13_$$unsorted)) (= tptp.true (tptp.ifeq (io_tptp.n0_6 b_H b_G) tptp.true (io_tptp.l1_16 b_G b_G) tptp.true))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_37)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((H $$unsorted) (G $$unsorted)) (= tptp.true (tptp.ifeq (tptp.n0 H G) tptp.true (tptp.l1 G G) tptp.true))) _let_77))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_77 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_79 (io_tptp.r0_10 i_tptp.b_9))) (let ((_let_80 (= _let_45 _let_79))) (let ((_let_81 (io_tptp.k5_47 i_tptp.b_9))) (let ((_let_82 (io_tptp.n1_18 i_tptp.b_9 i_tptp.b_9 i_tptp.b_9))) (let ((_let_83 (tptp.ifeq _let_82 _let_45 _let_81 _let_45))) (let ((_let_84 (= _let_45 (tptp.ifeq _let_55 _let_45 _let_83 _let_45)))) (let ((_let_85 (= _let_81 (tptp.ifeq _let_82 _let_82 _let_81 _let_45)))) (let ((_let_86 (= _let_83 (tptp.ifeq _let_55 _let_55 _let_83 _let_45)))) (let ((_let_87 (= _let_45 (tptp.ifeq _let_79 _let_45 _let_82 _let_45)))) (let ((_let_88 (= _let_82 (tptp.ifeq _let_79 _let_79 _let_82 _let_45)))) (let ((_let_89 (= _let_82 _let_81))) (let ((_let_90 (not _let_56))) (let ((_let_91 (= tptp.true _let_79))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_39)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_10) _let_91))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_91 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_93 (= tptp.true (tptp.ifeq _let_55 tptp.true (tptp.ifeq _let_82 tptp.true _let_81 tptp.true) tptp.true)))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (= tptp.true _let_3) _let_93))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_93 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_95 (forall ((b_D it_13_$$unsorted)) (let ((_let_1 (io_tptp.s0_3 i_tptp.d_2))) (= _let_1 (tptp.ifeq (io_tptp.r0_10 b_D) _let_1 (io_tptp.n1_18 b_D b_D b_D) _let_1)))))) (let ((_let_96 (forall ((b_D it_13_$$unsorted)) (= tptp.true (tptp.ifeq (io_tptp.r0_10 b_D) tptp.true (io_tptp.n1_18 b_D b_D b_D) tptp.true))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_32)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((D $$unsorted)) (= tptp.true (tptp.ifeq (tptp.r0 D) tptp.true (tptp.n1 D D D) tptp.true))) _let_96))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_96 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (i_tptp.b_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_95))) _let_97 :args (_let_87 false _let_95)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_79 _let_82 _let_45 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_74 :args (_let_88 false _let_73)))) (let ((_let_100 (= _let_45 _let_81))) (let ((_let_101 (not _let_89))) (let ((_let_102 (not (= tptp.true _let_81)))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (= tptp.true _let_1)) _let_102))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_102 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_104 (not _let_88))) (let ((_let_105 (not _let_87))) (let ((_let_106 (not _let_80))) (let ((_let_107 (not _let_100))) (let ((_let_108 (and _let_80 _let_107 _let_87 _let_88))) (let ((_let_109 (REFL :args (_let_81)))) (let ((_let_110 (ASSUME :args (_let_87)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (APPLY_UF tptp.ifeq))) (let ((_let_113 (REFL :args (_let_45)))) (let ((_let_114 (REFL :args (_let_82)))) (let ((_let_115 (SYMM _let_92))) (let ((_let_116 (REFL :args (_let_79)))) (let ((_let_117 (ASSUME :args (_let_88)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (and _let_80 _let_84 _let_85 _let_56 _let_86 _let_87 _let_88))) (let ((_let_120 (ASSUME :args (_let_85)))) (let ((_let_121 (CONG _let_116 (SYMM _let_115) _let_114 _let_113 :args _let_112))) (let ((_let_122 (ASSUME :args (_let_86)))) (let ((_let_123 (ASSUME :args (_let_56)))) (let ((_let_124 (REFL :args (_let_55)))) (let ((_let_125 (forall ((b_B it_13_$$unsorted) (b_C it_13_$$unsorted) (b_D it_13_$$unsorted) (b_A it_13_$$unsorted)) (let ((_let_1 (io_tptp.s0_3 i_tptp.d_2))) (= _let_1 (tptp.ifeq (io_tptp.p3_35 b_B b_C b_D) _let_1 (tptp.ifeq (io_tptp.l1_16 b_A b_C) _let_1 (io_tptp.s4_46 b_A) _let_1) _let_1)))))) (let ((_let_126 (forall ((b_B it_13_$$unsorted) (b_C it_13_$$unsorted) (b_D it_13_$$unsorted) (b_A it_13_$$unsorted)) (= tptp.true (tptp.ifeq (io_tptp.p3_35 b_B b_C b_D) tptp.true (tptp.ifeq (io_tptp.l1_16 b_A b_C) tptp.true (io_tptp.s4_46 b_A) tptp.true) tptp.true))))) (let ((_let_127 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (A $$unsorted)) (= tptp.true (tptp.ifeq (tptp.p3 B C D) tptp.true (tptp.ifeq (tptp.l1 A C) tptp.true (tptp.s4 A) tptp.true) tptp.true))) _let_126))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_126 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_128 (forall ((b_J it_13_$$unsorted) (b_I it_13_$$unsorted) (b_H it_13_$$unsorted)) (let ((_let_1 (io_tptp.s0_3 i_tptp.d_2))) (= _let_1 (tptp.ifeq (io_tptp.k2_23 b_J b_J) _let_1 (tptp.ifeq (io_tptp.q0_5 b_I b_H) _let_1 (io_tptp.p3_35 b_H b_H b_H) _let_1) _let_1)))))) (let ((_let_129 (forall ((b_J it_13_$$unsorted) (b_I it_13_$$unsorted) (b_H it_13_$$unsorted)) (= tptp.true (tptp.ifeq (io_tptp.k2_23 b_J b_J) tptp.true (tptp.ifeq (io_tptp.q0_5 b_I b_H) tptp.true (io_tptp.p3_35 b_H b_H b_H) tptp.true) tptp.true))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((J $$unsorted) (I $$unsorted) (H $$unsorted)) (= tptp.true (tptp.ifeq (tptp.k2 J J) tptp.true (tptp.ifeq (tptp.q0 I H) tptp.true (tptp.p3 H H H) tptp.true) tptp.true))) _let_129))) (MACRO_SR_EQ_INTRO _let_67 :args (_let_129 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_131 (and _let_46 _let_48 _let_51 _let_52 _let_53 _let_54 _let_59 _let_61 _let_62 _let_63 _let_64 _let_65))) (let ((_let_132 (ASSUME :args (_let_65)))) (let ((_let_133 (ASSUME :args (_let_54)))) (let ((_let_134 (REFL :args (_let_50)))) (let ((_let_135 (ASSUME :args (_let_53)))) (let ((_let_136 (TRANS (SYMM (SYMM _let_135)) (CONG (REFL :args (_let_44)) (SYMM (SYMM _let_68)) _let_134 _let_113 :args _let_112) (SYMM _let_133)))) (let ((_let_137 (ASSUME :args (_let_64)))) (let ((_let_138 (ASSUME :args (_let_63)))) (let ((_let_139 (REFL :args (_let_58)))) (let ((_let_140 (ASSUME :args (_let_62)))) (let ((_let_141 (ASSUME :args (_let_52)))) (let ((_let_142 (REFL :args (_let_49)))) (let ((_let_143 (ASSUME :args (_let_61)))) (let ((_let_144 (ASSUME :args (_let_59)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_132 _let_138 _let_70 _let_143 _let_133 _let_137 _let_140 _let_144 _let_135 _let_68 _let_72 _let_141) (SCOPE (TRANS (SYMM (SYMM _let_144)) (CONG _let_139 (TRANS (SYMM (SYMM _let_143)) (CONG _let_142 (TRANS (SYMM (SYMM _let_72)) (CONG _let_134 _let_136 _let_142 _let_113 :args _let_112) (SYMM _let_141)) (REFL :args (_let_60)) _let_113 :args _let_112) (SYMM _let_140) (CONG (REFL :args (_let_47)) (SYMM (SYMM _let_70)) _let_139 _let_113 :args _let_112) (SYMM _let_138)) (REFL :args (_let_57)) _let_113 :args _let_112) (SYMM _let_137) (CONG _let_134 _let_136 _let_124 _let_113 :args _let_112) (SYMM _let_132)) :args (_let_65 _let_63 _let_48 _let_61 _let_54 _let_64 _let_62 _let_59 _let_53 _let_46 _let_51 _let_52))) :args (_let_46 _let_48 _let_51 _let_52 _let_53 _let_54 _let_59 _let_61 _let_62 _let_63 _let_64 _let_65))) :args (true _let_131)) :args ((or (not _let_46) (not _let_48) (not _let_51) (not _let_52) _let_56 (not _let_53) (not _let_54) (not _let_59) (not _let_61) (not _let_62) (not _let_63) (not _let_64) (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_50 _let_55 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_65 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_58 _let_57 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_64 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_47 _let_58 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_63 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_49 _let_60 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_62 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (i_tptp.e_4 i_tptp.b_9 i_tptp.e_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_128))) _let_130 :args (_let_61 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (i_tptp.e_4 i_tptp.e_4 i_tptp.e_4 i_tptp.e_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_125))) _let_127 :args (_let_59 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_117 _let_92 _let_110 _let_122 _let_123 _let_94) (SCOPE (TRANS _let_117 (SYMM _let_121) _let_111 (SYMM (SYMM _let_94)) (CONG _let_124 (SYMM (SYMM _let_123)) (REFL :args (_let_83)) _let_113 :args _let_112) (SYMM _let_122) (CONG _let_114 (TRANS (SYMM _let_111) _let_121 _let_118) _let_109 _let_113 :args _let_112) (SYMM _let_120)) :args (_let_85 _let_88 _let_80 _let_87 _let_86 _let_56 _let_84))) :args (_let_80 _let_84 _let_85 _let_56 _let_86 _let_87 _let_88))) :args (true _let_119)) :args ((or _let_106 (not _let_84) (not _let_85) _let_90 (not _let_86) _let_105 _let_89 _let_104))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_110 _let_92 _let_117) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_118) (CONG _let_116 _let_115 _let_114 _let_113 :args _let_112) _let_111) _let_109 :args (=)) (FALSE_INTRO _let_103))) :args (_let_107 _let_87 _let_80 _let_88))) :args (_let_80 _let_107 _let_87 _let_88))) :args (true _let_108)) (CONG (REFL :args (_let_106)) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_100))) (REFL :args (_let_105)) (REFL :args (_let_104)) (REFL :args (_let_101)) :args (or))) :args ((or _let_100 _let_106 _let_105 _let_101 _let_104))) _let_99 _let_98 _let_103 _let_92 :args (_let_101 false _let_88 false _let_87 true _let_100 false _let_80)) _let_99 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_55 _let_83 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_86 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_82 _let_81 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_85 false _let_73)) _let_94 _let_92 :args (_let_90 true _let_89 false _let_88 false _let_87 false _let_86 false _let_85 false _let_84 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_44 _let_50 _let_45 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_75)) _let_74 :args (_let_54 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (i_tptp.d_2 i_tptp.e_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_76))) _let_78 :args (_let_53 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_50 _let_49 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_74 :args (_let_52 false _let_73)) _let_72 _let_70 _let_68 :args (false false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_59 true _let_56 false _let_54 false _let_53 false _let_52 false _let_51 false _let_48 false _let_46)) :args (_let_43 _let_42 (= (tptp.q0 tptp.e tptp.d) tptp.true) _let_41 (= (tptp.m0 tptp.e tptp.d tptp.a) tptp.true) (= (tptp.s0 tptp.b) tptp.true) (= (tptp.q0 tptp.b tptp.b) tptp.true) (= (tptp.n0 tptp.d tptp.b) tptp.true) (= (tptp.m0 tptp.e tptp.d tptp.e) tptp.true) _let_39 (= (tptp.p0 tptp.b tptp.d) tptp.true) (= (tptp.n0 tptp.e tptp.b) tptp.true) (forall ((X $$unsorted)) (= (tptp.m0 tptp.a X tptp.a) tptp.true)) (= _let_28 tptp.true) (forall ((X $$unsorted)) (= (tptp.p0 tptp.b X) tptp.true)) (= (tptp.n0 tptp.a tptp.b) tptp.true) (= _let_25 tptp.true) (forall ((X $$unsorted)) (= (tptp.q0 X tptp.d) tptp.true)) (= (tptp.p0 tptp.c tptp.b) tptp.true) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.m0 X tptp.d Y) tptp.true)) (= _let_30 tptp.true) _let_38 (= (tptp.p0 tptp.b tptp.c) tptp.true) (= (tptp.m0 tptp.a tptp.e tptp.e) tptp.true) (= _let_27 tptp.true) (= _let_33 tptp.true) (= (tptp.n0 tptp.d tptp.c) tptp.true) (= (tptp.m0 tptp.e tptp.b tptp.c) tptp.true) (= _let_23 tptp.true) (= (tptp.q0 tptp.d tptp.b) tptp.true) (= (tptp.n0 tptp.e tptp.e) tptp.true) (= (tptp.m0 tptp.b tptp.b tptp.e) tptp.true) (= _let_19 tptp.true) (= (tptp.q0 tptp.d tptp.c) tptp.true) (= _let_7 tptp.true) (= (tptp.m0 tptp.d tptp.e tptp.c) tptp.true) (= (tptp.q0 tptp.a tptp.b) tptp.true) (= (tptp.n0 tptp.b tptp.a) tptp.true) (= (tptp.m0 tptp.b tptp.a tptp.a) tptp.true) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.n0 J I) tptp.true (tptp.k1 I) tptp.true) tptp.true)) _let_37 (forall ((E $$unsorted) (C $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.p0 E C) tptp.true (tptp.ifeq (tptp.r0 F) tptp.true (tptp.ifeq (tptp.m0 D C E) tptp.true (tptp.l1 C D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.l0 B) tptp.true (tptp.ifeq (tptp.l1 B B) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.l1 A A) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.m0 C C B) tptp.true (tptp.m1 B C B) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.m0 A A J) tptp.true (tptp.m1 J J J) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.p0 I H) tptp.true (tptp.ifeq (tptp.r0 G) tptp.true (tptp.m1 G H G) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_24 tptp.true _let_36 tptp.true) tptp.true) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.r0 E) tptp.true (tptp.ifeq (tptp.q0 F D) tptp.true (tptp.ifeq (tptp.s0 E) tptp.true (tptp.m1 D D D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p0 C B) tptp.true (tptp.ifeq (tptp.l1 tptp.c tptp.c) tptp.true (tptp.ifeq (tptp.n0 C C) tptp.true (tptp.m1 B B tptp.c) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.k0 J) tptp.true (tptp.ifeq (tptp.n0 A A) tptp.true (tptp.m1 J J A) tptp.true) tptp.true) tptp.true)) _let_35 (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.q0 I H) tptp.true (tptp.m1 H H H) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.m0 F G E) tptp.true (tptp.m1 E E E) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.l0 D) tptp.true (tptp.ifeq (tptp.m0 C C B) tptp.true (tptp.m1 B C C) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.m1 J A I) tptp.true (tptp.ifeq (tptp.m1 J I H) tptp.true (tptp.m1 H I I) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.q0 G tptp.d) tptp.true (tptp.ifeq (tptp.s0 F) tptp.true (tptp.m1 F F F) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (E $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.q0 D E) tptp.true (tptp.ifeq (tptp.q0 D C) tptp.true (tptp.m1 C C C) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p0 A B) tptp.true (tptp.ifeq (tptp.r0 tptp.c) tptp.true (tptp.ifeq (tptp.q0 B tptp.d) tptp.true (tptp.ifeq (tptp.s0 tptp.d) tptp.true (tptp.m1 A B tptp.c) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_27 tptp.true (tptp.m1 tptp.c tptp.c tptp.c) tptp.true) tptp.true) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.k0 J) tptp.true (tptp.ifeq (tptp.l0 I) tptp.true (tptp.m1 I J I) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_26 tptp.true _let_34 tptp.true) tptp.true) (= (tptp.ifeq _let_30 tptp.true (tptp.ifeq _let_17 tptp.true (tptp.m1 tptp.a tptp.a tptp.a) tptp.true) tptp.true) tptp.true) (forall ((G $$unsorted) (H $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.m1 G tptp.c G) tptp.true (tptp.ifeq (tptp.m0 tptp.a H tptp.a) tptp.true (tptp.ifeq (tptp.q0 F G) tptp.true (tptp.m1 F tptp.a G) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (E $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.m0 D E C) tptp.true (tptp.m1 C C C) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.l0 B) tptp.true (tptp.ifeq (tptp.l0 A) tptp.true (tptp.ifeq (tptp.p0 B tptp.d) tptp.true (tptp.m1 A A A) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q0 tptp.c tptp.d) tptp.true (tptp.ifeq (tptp.l1 tptp.a tptp.b) tptp.true _let_36 tptp.true) tptp.true) tptp.true) (forall ((J $$unsorted)) (= (tptp.ifeq (tptp.k0 J) tptp.true (tptp.ifeq (tptp.l0 J) tptp.true (tptp.ifeq (tptp.m0 J J J) tptp.true (tptp.m1 J J J) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p0 H I) tptp.true (tptp.ifeq (tptp.s0 H) tptp.true (tptp.m1 H I H) tptp.true) tptp.true) tptp.true)) _let_35 (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.k0 tptp.e) tptp.true (tptp.ifeq (tptp.r0 tptp.e) tptp.true (tptp.ifeq (tptp.r0 G) tptp.true (tptp.ifeq (tptp.m0 tptp.a tptp.e tptp.c) tptp.true (tptp.m1 tptp.c tptp.a tptp.c) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted)) (= (tptp.ifeq (tptp.s0 F) tptp.true (tptp.m1 F F F) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.m1 E D C) tptp.true (tptp.ifeq (tptp.q0 D D) tptp.true (tptp.m1 C C C) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.q0 A A) tptp.true (tptp.ifeq (tptp.k1 tptp.a) tptp.true (tptp.ifeq (tptp.k1 B) tptp.true (tptp.m1 A B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.l0 J) tptp.true (tptp.ifeq (tptp.r0 I) tptp.true (tptp.m1 I J I) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.m0 tptp.b B A) tptp.true (tptp.n1 A A B) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.l0 I) tptp.true (tptp.ifeq (tptp.p0 J H) tptp.true (tptp.ifeq (tptp.r0 H) tptp.true (tptp.n1 H I H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.q0 tptp.a G) tptp.true (tptp.ifeq (tptp.n0 G G) tptp.true (tptp.n1 G G G) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.m0 F E tptp.c) tptp.true (tptp.n1 E tptp.c E) tptp.true) tptp.true)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.m0 C D tptp.e) tptp.true (tptp.ifeq (tptp.k1 C) tptp.true (tptp.n1 C tptp.e tptp.e) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.m1 tptp.b B tptp.e) tptp.true (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.n1 tptp.e tptp.e B) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.k0 H) tptp.true (tptp.ifeq (tptp.m0 I J I) tptp.true (tptp.ifeq (tptp.q0 A J) tptp.true (tptp.n1 H H H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.p0 G G) tptp.true (tptp.ifeq (tptp.k1 G) tptp.true (tptp.n1 G G G) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.p0 E F) tptp.true (tptp.ifeq (tptp.p0 D D) tptp.true (tptp.n1 D E D) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_33 tptp.true (tptp.n1 tptp.d tptp.d tptp.d) tptp.true) tptp.true) (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.m1 B C A) tptp.true (tptp.ifeq (tptp.k0 B) tptp.true (tptp.n1 A A A) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p0 J J) tptp.true (tptp.ifeq (tptp.r0 I) tptp.true (tptp.ifeq (tptp.l1 J tptp.d) tptp.true (tptp.n1 I tptp.d J) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_27 tptp.true (tptp.n1 tptp.c tptp.c tptp.c) tptp.true) tptp.true) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.l0 D) tptp.true (tptp.ifeq (tptp.p0 tptp.b E) tptp.true (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.n1 D E D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.n1 C B C) tptp.true (tptp.ifeq (tptp.m1 tptp.c B C) tptp.true (tptp.ifeq (tptp.m0 tptp.b C tptp.c) tptp.true (tptp.n1 B B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p0 A J) tptp.true (tptp.ifeq (tptp.m0 J J J) tptp.true (tptp.ifeq (tptp.s0 I) tptp.true (tptp.ifeq (tptp.k1 I) tptp.true (tptp.n1 I I I) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.p0 tptp.a tptp.b) tptp.true (tptp.ifeq (tptp.p0 H tptp.d) tptp.true (tptp.n1 tptp.a H tptp.b) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.n1 E F E) tptp.true (tptp.ifeq (tptp.l0 G) tptp.true (tptp.ifeq (tptp.l1 G E) tptp.true (tptp.n1 E F F) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.n1 tptp.e tptp.e tptp.e) tptp.true (tptp.ifeq (tptp.p0 tptp.d tptp.d) tptp.true (tptp.ifeq _let_10 tptp.true (tptp.n1 tptp.d tptp.e tptp.e) tptp.true) tptp.true) tptp.true) tptp.true) (= (tptp.ifeq _let_30 tptp.true (tptp.ifeq (tptp.r0 tptp.a) tptp.true (tptp.n1 tptp.a tptp.a tptp.a) tptp.true) tptp.true) tptp.true) _let_32 (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.l1 C B) tptp.true (tptp.ifeq (tptp.n0 C B) tptp.true (tptp.n1 B B B) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.m0 J A A) tptp.true (tptp.ifeq (tptp.m0 I J H) tptp.true (tptp.n1 H H I) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.m1 tptp.d tptp.e tptp.e) tptp.true (tptp.ifeq _let_19 tptp.true (tptp.ifeq _let_31 tptp.true (tptp.n1 tptp.d tptp.d tptp.b) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.k0 G) tptp.true (tptp.ifeq (tptp.s0 G) tptp.true (tptp.n1 G G G) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.n1 E D E) tptp.true (tptp.ifeq (tptp.m0 E E F) tptp.true (tptp.n1 D D D) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.k0 E) tptp.true (tptp.ifeq (tptp.n0 tptp.d D) tptp.true (tptp.p1 D D E) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.l0 A) tptp.true (tptp.ifeq (tptp.m0 B C tptp.b) tptp.true (tptp.p1 A A A) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p0 I J) tptp.true (tptp.ifeq (tptp.l1 J J) tptp.true (tptp.ifeq (tptp.n0 J J) tptp.true (tptp.p1 I I I) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.n0 H G) tptp.true (tptp.p1 G G G) tptp.true) tptp.true)) (forall ((F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.q0 F E) tptp.true (tptp.p1 E E E) tptp.true) tptp.true)) (forall ((D $$unsorted)) (= (tptp.ifeq (tptp.k0 D) tptp.true (tptp.p1 D D D) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p0 C B) tptp.true (tptp.p1 B B C) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.p0 tptp.a tptp.c) tptp.true (tptp.p1 tptp.c tptp.c tptp.c) tptp.true) tptp.true) (forall ((I $$unsorted) (A $$unsorted) (H $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p1 I A H) tptp.true (tptp.ifeq (tptp.l0 J) tptp.true (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.p1 H I H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.s0 G) tptp.true (tptp.ifeq (tptp.s0 F) tptp.true (tptp.p1 F F F) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.k0 tptp.b) tptp.true (tptp.ifeq (tptp.k0 D) tptp.true (tptp.ifeq (tptp.k1 E) tptp.true (tptp.ifeq (tptp.n0 tptp.e tptp.b) tptp.true (tptp.p1 D D D) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p0 C B) tptp.true (tptp.ifeq (tptp.r0 B) tptp.true (tptp.p1 B B C) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.p0 tptp.b tptp.a) tptp.true _let_29 tptp.true) tptp.true) (= (tptp.ifeq (tptp.m0 tptp.b tptp.c tptp.e) tptp.true (tptp.p1 tptp.c tptp.e tptp.b) tptp.true) tptp.true) (= (tptp.ifeq (tptp.p0 tptp.d tptp.b) tptp.true (tptp.ifeq (tptp.m0 tptp.e tptp.a tptp.a) tptp.true (tptp.p1 tptp.d tptp.d tptp.b) tptp.true) tptp.true) tptp.true) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.k0 tptp.e) tptp.true (tptp.ifeq (tptp.l0 tptp.c) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.p1 A A A) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (J $$unsorted) (G $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.n1 H J G) tptp.true (tptp.ifeq (tptp.l0 I) tptp.true (tptp.ifeq (tptp.n0 H H) tptp.true (tptp.p1 G G G) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (D $$unsorted) (B $$unsorted) (F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.m1 C D B) tptp.true (tptp.ifeq (tptp.l0 F) tptp.true (tptp.ifeq (tptp.q0 D E) tptp.true (tptp.p1 B B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (H $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p1 J H A) tptp.true (tptp.ifeq (tptp.m0 J H A) tptp.true (tptp.p1 H I J) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.m1 F G tptp.b) tptp.true (tptp.ifeq (tptp.k0 G) tptp.true (tptp.p1 F tptp.b G) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.m0 tptp.b E tptp.b) tptp.true (tptp.ifeq (tptp.l1 D tptp.b) tptp.true (tptp.p1 D D D) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p0 C B) tptp.true (tptp.p1 B B B) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.l0 I) tptp.true (tptp.ifeq (tptp.m0 J A I) tptp.true (tptp.p1 I I I) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_29 tptp.true (tptp.ifeq _let_10 tptp.true (tptp.p1 tptp.a tptp.b tptp.a) tptp.true) tptp.true) tptp.true) (= (tptp.ifeq _let_30 tptp.true _let_29 tptp.true) tptp.true) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.n1 tptp.c tptp.d H) tptp.true (tptp.ifeq (tptp.r0 tptp.d) tptp.true (tptp.ifeq (tptp.s0 H) tptp.true (tptp.ifeq (tptp.n0 tptp.c H) tptp.true (tptp.p1 tptp.d tptp.d H) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_23 tptp.true (tptp.ifeq _let_28 tptp.true (tptp.p1 tptp.e tptp.e tptp.e) tptp.true) tptp.true) tptp.true) (forall ((D $$unsorted) (C $$unsorted) (G $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.n1 D C G) tptp.true (tptp.ifeq (tptp.q0 D E) tptp.true (tptp.ifeq (tptp.k1 F) tptp.true (tptp.p1 C C C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (J $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.p0 C J) tptp.true (tptp.ifeq (tptp.n0 B A) tptp.true (tptp.q1 J A J) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.q0 I H) tptp.true (tptp.q1 H H H) tptp.true) tptp.true)) (= (tptp.ifeq _let_19 tptp.true (tptp.ifeq _let_27 tptp.true (tptp.ifeq _let_26 tptp.true (tptp.q1 tptp.b tptp.e tptp.e) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.p0 G F) tptp.true (tptp.q1 F G G) tptp.true) tptp.true)) (forall ((E $$unsorted) (C $$unsorted) (D $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.q1 E C D) tptp.true (tptp.ifeq (tptp.n1 C D D) tptp.true (tptp.ifeq (tptp.m1 B D C) tptp.true (tptp.ifeq (tptp.p0 C E) tptp.true (tptp.q1 B B B) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.s0 A) tptp.true (tptp.q1 A A A) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.m0 I I J) tptp.true (tptp.ifeq (tptp.s0 H) tptp.true (tptp.q1 H H H) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.q1 F F G) tptp.true (tptp.ifeq (tptp.k0 G) tptp.true (tptp.ifeq (tptp.l0 E) tptp.true (tptp.q1 E F F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.n0 D C) tptp.true (tptp.q1 C C C) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.p1 tptp.b tptp.b B) tptp.true (tptp.ifeq (tptp.q0 B tptp.b) tptp.true (tptp.ifeq (tptp.k1 B) tptp.true (tptp.q1 B B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.k0 J) tptp.true (tptp.ifeq (tptp.l0 A) tptp.true (tptp.q1 J J J) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.m0 I tptp.c tptp.b) tptp.true (tptp.q1 I I I) tptp.true) tptp.true)) (forall ((E $$unsorted) (H $$unsorted) (G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.l0 E) tptp.true (tptp.ifeq (tptp.p0 H E) tptp.true (tptp.ifeq (tptp.r0 G) tptp.true (tptp.ifeq (tptp.q0 F F) tptp.true (tptp.q1 E F E) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p0 D tptp.d) tptp.true (tptp.ifeq (tptp.s0 C) tptp.true (tptp.q1 C C D) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.s0 B) tptp.true (tptp.q1 B B B) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.m0 tptp.e tptp.d A) tptp.true (tptp.ifeq (tptp.m0 A tptp.d A) tptp.true (tptp.q1 tptp.e A A) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p1 H tptp.b tptp.b) tptp.true (tptp.ifeq (tptp.p0 I J) tptp.true (tptp.ifeq (tptp.q0 tptp.b tptp.b) tptp.true (tptp.q1 H H H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p0 G G) tptp.true (tptp.ifeq (tptp.q0 F E) tptp.true (tptp.ifeq (tptp.k1 E) tptp.true (tptp.q1 E E F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (D $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.m0 C D B) tptp.true (tptp.q1 B B B) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.m1 tptp.c tptp.d tptp.a) tptp.true (tptp.ifeq _let_25 tptp.true (tptp.q1 tptp.d tptp.d tptp.c) tptp.true) tptp.true) tptp.true) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.q1 A A A) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.m1 H I I) tptp.true (tptp.ifeq (tptp.r0 J) tptp.true (tptp.q1 H H I) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k0 G) tptp.true (tptp.ifeq (tptp.m0 F F G) tptp.true (tptp.q1 F F F) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_24 tptp.true _let_22 tptp.true) tptp.true) (forall ((E $$unsorted)) (= (tptp.ifeq (tptp.r0 E) tptp.true (tptp.q1 E E E) tptp.true) tptp.true)) (= (tptp.ifeq _let_23 tptp.true (tptp.ifeq _let_17 tptp.true _let_6 tptp.true) tptp.true) tptp.true) (forall ((D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.n1 D tptp.d C) tptp.true (tptp.ifeq (tptp.p0 tptp.b tptp.d) tptp.true (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.q1 C C C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.s0 tptp.b) tptp.true (tptp.ifeq (tptp.s0 B) tptp.true (tptp.q1 B tptp.b tptp.b) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_10 tptp.true _let_22 tptp.true) tptp.true) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.m0 J A I) tptp.true (tptp.q1 I I I) tptp.true) tptp.true)) (forall ((G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.m0 G H G) tptp.true (tptp.q1 G G G) tptp.true) tptp.true)) (forall ((F $$unsorted)) (= (tptp.ifeq (tptp.r0 F) tptp.true (tptp.ifeq (tptp.m0 tptp.c F F) tptp.true (tptp.q1 F F F) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.q1 tptp.d E tptp.d) tptp.true (tptp.ifeq (tptp.q0 D E) tptp.true (tptp.ifeq (tptp.s0 tptp.d) tptp.true (tptp.r1 D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.p0 I I) tptp.true (tptp.s1 I) tptp.true) tptp.true)) (forall ((H $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.s1 H) tptp.true (tptp.ifeq (tptp.q0 F G) tptp.true (tptp.s1 F) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (D $$unsorted) (E $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.k2 F D) tptp.true (tptp.ifeq (tptp.m1 E D C) tptp.true (tptp.ifeq (tptp.k1 F) tptp.true (tptp.k2 C D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.q1 B B tptp.d) tptp.true (tptp.ifeq (tptp.n1 tptp.e tptp.d B) tptp.true (tptp.ifeq (tptp.m1 B tptp.e B) tptp.true (tptp.k2 B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.q1 A J J) tptp.true (tptp.k2 J J) tptp.true) tptp.true)) _let_21 (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.l2 E E) tptp.true (tptp.ifeq (tptp.s1 D) tptp.true (tptp.ifeq (tptp.n0 tptp.e E) tptp.true (tptp.l2 D E) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.s1 B) tptp.true (tptp.ifeq (tptp.p0 A A) tptp.true (tptp.ifeq (tptp.m0 C B J) tptp.true (tptp.l2 J J) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.m1 I H H) tptp.true (tptp.ifeq (tptp.p0 H G) tptp.true (tptp.ifeq (tptp.m0 H G I) tptp.true (tptp.l2 G G) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.s0 F) tptp.true (tptp.ifeq (tptp.l1 G H) tptp.true (tptp.m2 F) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.k1 tptp.b) tptp.true (tptp.m2 tptp.b) tptp.true) tptp.true) (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.p1 B C A) tptp.true (tptp.n2 A) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q1 tptp.c tptp.a tptp.d) tptp.true (tptp.ifeq (tptp.n1 tptp.e tptp.a tptp.e) tptp.true (tptp.ifeq (tptp.m1 tptp.b tptp.a tptp.e) tptp.true (tptp.ifeq (tptp.k1 tptp.c) tptp.true (tptp.n2 tptp.a) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true) (= (tptp.ifeq _let_19 tptp.true (tptp.ifeq _let_18 tptp.true (tptp.n2 tptp.c) tptp.true) tptp.true) tptp.true) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.r1 tptp.b) tptp.true (tptp.ifeq (tptp.p1 tptp.b I J) tptp.true (tptp.ifeq (tptp.r0 tptp.e) tptp.true (tptp.n2 tptp.e) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.q1 B tptp.a B) tptp.true (tptp.p2 B tptp.a B) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.l2 tptp.a A) tptp.true (tptp.ifeq (tptp.k2 J tptp.a) tptp.true (tptp.ifeq (tptp.k0 A) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.p2 J J J) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q1 tptp.e tptp.e tptp.e) tptp.true (tptp.ifeq (tptp.l1 tptp.c tptp.b) tptp.true (tptp.p2 tptp.c tptp.e tptp.e) tptp.true) tptp.true) tptp.true) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.k2 tptp.c tptp.a) tptp.true (tptp.ifeq (tptp.n1 tptp.c I I) tptp.true (tptp.ifeq (tptp.p0 tptp.b I) tptp.true (tptp.ifeq (tptp.r0 tptp.e) tptp.true (tptp.p2 tptp.b tptp.c tptp.a) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.p1 G H tptp.e) tptp.true (tptp.ifeq (tptp.r0 tptp.e) tptp.true (tptp.p2 tptp.e G H) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.p2 C D C) tptp.true (tptp.ifeq (tptp.p1 C E F) tptp.true (tptp.ifeq (tptp.l1 E F) tptp.true (tptp.p2 C D D) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_16 tptp.true (tptp.ifeq _let_18 tptp.true (tptp.p2 tptp.e tptp.c tptp.c) tptp.true) tptp.true) tptp.true) (forall ((A $$unsorted) (J $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p2 A J A) tptp.true (tptp.ifeq (tptp.m1 A B J) tptp.true (tptp.p2 J J J) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.r1 tptp.a) tptp.true (tptp.ifeq (tptp.m0 I H tptp.d) tptp.true (tptp.p2 H H tptp.d) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.m1 G G F) tptp.true (tptp.p2 F F F) tptp.true) tptp.true)) (= (tptp.ifeq _let_17 tptp.true (tptp.ifeq (tptp.k1 tptp.d) tptp.true (tptp.p2 tptp.d tptp.d tptp.d) tptp.true) tptp.true) tptp.true) (forall ((C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p2 C D C) tptp.true (tptp.ifeq (tptp.n1 E D E) tptp.true (tptp.ifeq (tptp.p0 C D) tptp.true (tptp.p2 C D D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.n1 tptp.d tptp.d B) tptp.true (tptp.p2 B B B) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.q1 A A A) tptp.true (tptp.p2 A A A) tptp.true) tptp.true)) (forall ((H $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p2 tptp.e H I) tptp.true (tptp.ifeq (tptp.k1 J) tptp.true (tptp.p2 H I I) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.q1 tptp.a G F) tptp.true (tptp.ifeq (tptp.n1 tptp.e F tptp.a) tptp.true (tptp.p2 F tptp.e G) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted)) (= (tptp.ifeq (tptp.l1 E tptp.d) tptp.true (tptp.p2 E E E) tptp.true) tptp.true)) (forall ((B $$unsorted) (D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p2 B D B) tptp.true (tptp.ifeq (tptp.s1 tptp.c) tptp.true (tptp.ifeq (tptp.q1 tptp.c B D) tptp.true (tptp.ifeq (tptp.s0 tptp.e) tptp.true (tptp.p2 B B C) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.k1 A) tptp.true (tptp.p2 A A A) tptp.true) tptp.true)) (forall ((J $$unsorted) (H $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p2 tptp.a J H) tptp.true (tptp.ifeq (tptp.m1 tptp.a tptp.a I) tptp.true (tptp.p2 H H H) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.p1 tptp.d tptp.b tptp.e) tptp.true (tptp.p2 tptp.d tptp.b tptp.b) tptp.true) tptp.true) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.q1 tptp.e tptp.c G) tptp.true (tptp.ifeq (tptp.p1 G tptp.b tptp.b) tptp.true (tptp.ifeq (tptp.n1 tptp.e tptp.e G) tptp.true (tptp.p2 tptp.b tptp.c tptp.c) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k2 E tptp.c) tptp.true (tptp.ifeq (tptp.q1 F tptp.c F) tptp.true (tptp.p2 E E E) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p2 D C B) tptp.true (tptp.ifeq (tptp.r1 C) tptp.true (tptp.ifeq (tptp.p0 B B) tptp.true (tptp.p2 B B B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p2 J J A) tptp.true (tptp.ifeq (tptp.q1 J A J) tptp.true (tptp.p2 I I I) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.m1 tptp.a H tptp.d) tptp.true (tptp.ifeq (tptp.n0 H tptp.d) tptp.true (tptp.p2 tptp.a H tptp.d) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.s1 G) tptp.true (tptp.ifeq (tptp.k1 G) tptp.true (tptp.p2 G G G) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_15 tptp.true (tptp.ifeq (tptp.r1 tptp.e) tptp.true (tptp.ifeq (tptp.m1 tptp.d tptp.a tptp.c) tptp.true (tptp.ifeq _let_18 tptp.true (tptp.p2 tptp.a tptp.c tptp.b) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((E $$unsorted) (D $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.q1 E E E) tptp.true (tptp.ifeq (tptp.p1 D F D) tptp.true (tptp.p2 D D D) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted)) (= (tptp.ifeq (tptp.n1 C tptp.e tptp.e) tptp.true (tptp.p2 C tptp.e C) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.n1 B B B) tptp.true (tptp.ifeq (tptp.p0 A A) tptp.true (tptp.p2 A A A) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.p1 tptp.e tptp.e tptp.a) tptp.true (tptp.p2 tptp.a tptp.a tptp.a) tptp.true) tptp.true) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.r1 J) tptp.true (tptp.ifeq (tptp.r0 I) tptp.true (tptp.p2 I I I) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.n2 H) tptp.true (tptp.ifeq (tptp.k1 tptp.e) tptp.true (tptp.p2 H H H) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.l1 G F) tptp.true (tptp.p2 F F F) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.m1 E D E) tptp.true (tptp.p2 D E D) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.p1 E E E) tptp.true (tptp.ifeq (tptp.k0 F) tptp.true (tptp.q2 E F F) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.n1 C B D) tptp.true (tptp.ifeq (tptp.q0 C B) tptp.true (tptp.q2 B B B) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.n1 J J A) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.q2 J J J) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q2 tptp.d tptp.c tptp.a) tptp.true (tptp.ifeq (tptp.s1 tptp.c) tptp.true (tptp.ifeq (tptp.q0 tptp.e tptp.c) tptp.true (tptp.q2 tptp.d tptp.a tptp.a) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.p1 I I I) tptp.true (tptp.q2 I I I) tptp.true) tptp.true)) (forall ((G $$unsorted) (H $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.q2 G H F) tptp.true (tptp.ifeq (tptp.p1 F F H) tptp.true (tptp.ifeq (tptp.n1 G F H) tptp.true (tptp.q2 F G F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.l2 E D) tptp.true (tptp.ifeq (tptp.l0 tptp.c) tptp.true (tptp.ifeq (tptp.k1 E) tptp.true (tptp.q2 D tptp.c E) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.q1 C tptp.c B) tptp.true (tptp.q2 B B B) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.q2 A A J) tptp.true (tptp.ifeq (tptp.n1 J tptp.d A) tptp.true (tptp.ifeq (tptp.k1 I) tptp.true (tptp.q2 I I I) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.l1 H G) tptp.true (tptp.q2 G G H) tptp.true) tptp.true)) (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.q2 D D D) tptp.true (tptp.ifeq (tptp.r1 D) tptp.true (tptp.ifeq (tptp.k0 D) tptp.true (tptp.ifeq (tptp.m0 E F C) tptp.true (tptp.q2 C D C) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.r1 G) tptp.true (tptp.ifeq (tptp.l0 G) tptp.true (tptp.r2 G) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.q2 tptp.b H tptp.b) tptp.true (tptp.ifeq (tptp.s1 tptp.b) tptp.true (tptp.s2 H) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.s1 tptp.a) tptp.true (tptp.ifeq _let_17 tptp.true _let_11 tptp.true) tptp.true) tptp.true) (= (tptp.ifeq (tptp.s1 tptp.d) tptp.true (tptp.ifeq _let_16 tptp.true _let_11 tptp.true) tptp.true) tptp.true) (forall ((B $$unsorted) (A $$unsorted) (C $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p2 B A C) tptp.true (tptp.ifeq (tptp.s1 A) tptp.true (tptp.ifeq (tptp.n0 J C) tptp.true (tptp.k3 J A J) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.s2 I) tptp.true (tptp.ifeq (tptp.q2 tptp.d I tptp.d) tptp.true (tptp.ifeq (tptp.s1 H) tptp.true (tptp.k3 H H H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k2 G F) tptp.true (tptp.k3 F F G) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.s2 tptp.e) tptp.true (tptp.ifeq (tptp.k2 tptp.c tptp.e) tptp.true _let_12 tptp.true) tptp.true) tptp.true) (forall ((D $$unsorted) (E $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p2 D E D) tptp.true (tptp.ifeq (tptp.m1 C C E) tptp.true (tptp.k3 C C C) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.l2 B tptp.b) tptp.true (tptp.ifeq (tptp.k1 A) tptp.true (tptp.k3 A A A) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_13 tptp.true (tptp.ifeq (tptp.k0 tptp.a) tptp.true _let_12 tptp.true) tptp.true) tptp.true) (forall ((F $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.k3 F G G) tptp.true (tptp.ifeq (tptp.p2 G H tptp.e) tptp.true (tptp.ifeq (tptp.s1 G) tptp.true (tptp.k3 F F F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (D $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.m2 E) tptp.true (tptp.ifeq (tptp.m2 D) tptp.true (tptp.ifeq (tptp.p1 C D B) tptp.true (tptp.k3 B B C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (A $$unsorted) (J $$unsorted) (G $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.k3 H A J) tptp.true (tptp.ifeq (tptp.k2 G J) tptp.true (tptp.ifeq (tptp.q0 I H) tptp.true (tptp.k3 G G H) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_14 tptp.true (tptp.ifeq _let_15 tptp.true (tptp.ifeq (tptp.p1 tptp.a tptp.d tptp.b) tptp.true (tptp.k3 tptp.d tptp.d tptp.d) tptp.true) tptp.true) tptp.true) tptp.true) (= (tptp.ifeq _let_14 tptp.true (tptp.k3 tptp.a tptp.a tptp.a) tptp.true) tptp.true) (forall ((F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p2 F E E) tptp.true (tptp.k3 E E E) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p2 D C C) tptp.true (tptp.k3 C D C) tptp.true) tptp.true)) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.r2 tptp.c) tptp.true (tptp.ifeq (tptp.l1 tptp.b I) tptp.true (tptp.k3 I I I) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (H $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k3 G H G) tptp.true (tptp.ifeq (tptp.s2 E) tptp.true (tptp.ifeq (tptp.m2 F) tptp.true (tptp.ifeq (tptp.l1 G H) tptp.true (tptp.k3 E E E) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted)) (= (tptp.ifeq (tptp.n2 D) tptp.true (tptp.k3 D D D) tptp.true) tptp.true)) (forall ((C $$unsorted)) (= (tptp.ifeq (tptp.r2 tptp.e) tptp.true (tptp.ifeq (tptp.l0 C) tptp.true (tptp.ifeq (tptp.r0 tptp.e) tptp.true (tptp.k3 C C C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.m2 B) tptp.true (tptp.k3 B B B) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p2 J A A) tptp.true (tptp.ifeq (tptp.r1 I) tptp.true (tptp.k3 I I I) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq _let_13 tptp.true _let_12 tptp.true) tptp.true) (forall ((G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.p2 G H G) tptp.true (tptp.ifeq (tptp.r0 G) tptp.true (tptp.l3 G H) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.p2 E F D) tptp.true (tptp.ifeq (tptp.p1 D D E) tptp.true (tptp.l3 D D) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted)) (= (tptp.ifeq (tptp.n2 C) tptp.true (tptp.ifeq (tptp.m2 tptp.b) tptp.true (tptp.l3 C C) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.r2 B) tptp.true (tptp.l3 B B) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.l3 A A) tptp.true (tptp.ifeq (tptp.n2 J) tptp.true (tptp.ifeq (tptp.l1 A I) tptp.true (tptp.l3 I I) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.s2 H) tptp.true (tptp.ifeq (tptp.l1 G G) tptp.true (tptp.l3 G G) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.k2 tptp.a tptp.d) tptp.true (tptp.l3 tptp.d tptp.d) tptp.true) tptp.true) (forall ((E $$unsorted) (D $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k3 E D D) tptp.true (tptp.ifeq (tptp.l2 F F) tptp.true (tptp.l3 D D) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.k2 tptp.b tptp.c) tptp.true (tptp.l3 tptp.c tptp.c) tptp.true) tptp.true) (= (tptp.ifeq (tptp.k3 tptp.a tptp.c tptp.a) tptp.true (tptp.ifeq _let_11 tptp.true (tptp.ifeq _let_10 tptp.true (tptp.l3 tptp.d tptp.c) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((B $$unsorted) (C $$unsorted) (J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.s2 B) tptp.true (tptp.ifeq (tptp.l2 C J) tptp.true (tptp.ifeq (tptp.m0 B B A) tptp.true (tptp.ifeq (tptp.m0 J C C) tptp.true (tptp.m3 J A J) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.m3 G I G) tptp.true (tptp.ifeq (tptp.l2 tptp.a tptp.a) tptp.true (tptp.ifeq (tptp.k2 H I) tptp.true (tptp.ifeq (tptp.n0 I tptp.a) tptp.true (tptp.m3 G G G) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (C $$unsorted) (D $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.s2 E) tptp.true (tptp.ifeq (tptp.r2 C) tptp.true (tptp.ifeq (tptp.q0 D E) tptp.true (tptp.ifeq (tptp.s0 F) tptp.true (tptp.m3 C C C) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.m3 B J B) tptp.true (tptp.ifeq (tptp.n2 J) tptp.true (tptp.ifeq (tptp.m2 A) tptp.true (tptp.m3 J A A) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q2 tptp.a tptp.b tptp.a) tptp.true _let_9 tptp.true) tptp.true) (= (tptp.ifeq (tptp.q2 tptp.b tptp.c tptp.d) tptp.true (tptp.ifeq (tptp.m2 tptp.d) tptp.true (tptp.ifeq (tptp.l1 tptp.d tptp.b) tptp.true (tptp.m3 tptp.c tptp.b tptp.d) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((H $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.r2 H) tptp.true (tptp.ifeq (tptp.k2 tptp.c I) tptp.true (tptp.m3 H I H) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.n2 G) tptp.true (tptp.ifeq (tptp.l2 G G) tptp.true (tptp.m3 G G G) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.n2 E) tptp.true (tptp.ifeq (tptp.m2 F) tptp.true (tptp.m3 E E E) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted)) (= (tptp.ifeq (tptp.p2 D tptp.e tptp.e) tptp.true (tptp.ifeq (tptp.n2 tptp.e) tptp.true (tptp.m3 D tptp.e tptp.e) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.k3 B C B) tptp.true (tptp.ifeq (tptp.r2 C) tptp.true (tptp.m3 B B C) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.n2 A) tptp.true (tptp.m3 A A A) tptp.true) tptp.true)) (forall ((J $$unsorted)) (= (tptp.ifeq (tptp.s2 tptp.c) tptp.true (tptp.ifeq (tptp.q2 J tptp.c tptp.c) tptp.true (tptp.m3 J tptp.c J) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.p2 I I I) tptp.true (tptp.m3 I I I) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.l2 tptp.a tptp.b) tptp.true _let_9 tptp.true) tptp.true) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.p2 E F D) tptp.true (tptp.n3 D) tptp.true) tptp.true)) (forall ((F $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.q2 F tptp.d C) tptp.true (tptp.ifeq (tptp.k2 D E) tptp.true (tptp.p3 C D E) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.k3 A B J) tptp.true (tptp.ifeq (tptp.r2 A) tptp.true (tptp.p3 J A B) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.n3 I) tptp.true (tptp.ifeq (tptp.l3 tptp.b tptp.e) tptp.true (tptp.ifeq (tptp.q2 I tptp.d I) tptp.true (tptp.ifeq (tptp.p2 tptp.d tptp.b tptp.c) tptp.true (tptp.p3 I tptp.d tptp.e) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.n2 H) tptp.true (tptp.p3 H H H) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p3 G G F) tptp.true (tptp.ifeq (tptp.l3 F E) tptp.true (tptp.ifeq (tptp.l1 F F) tptp.true (tptp.p3 E E E) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted)) (= (tptp.ifeq (tptp.l2 D D) tptp.true (tptp.p3 D D D) tptp.true) tptp.true)) (forall ((B $$unsorted) (C $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.q2 B C A) tptp.true (tptp.ifeq (tptp.n2 A) tptp.true (tptp.ifeq (tptp.s1 B) tptp.true (tptp.p3 A A A) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.n3 I) tptp.true (tptp.ifeq (tptp.p2 J I I) tptp.true (tptp.p3 I I I) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.n2 H) tptp.true (tptp.ifeq (tptp.k1 H) tptp.true (tptp.p3 H H H) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.q2 F G E) tptp.true (tptp.ifeq (tptp.k1 E) tptp.true (tptp.p3 E E E) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.m3 B C D) tptp.true (tptp.ifeq (tptp.p2 A B D) tptp.true (tptp.p3 A B B) tptp.true) tptp.true) tptp.true)) _let_8 (= (tptp.ifeq (tptp.k2 tptp.c tptp.b) tptp.true (tptp.p3 tptp.b tptp.c tptp.b) tptp.true) tptp.true) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.m3 tptp.e G tptp.e) tptp.true (tptp.ifeq (tptp.q2 G G tptp.b) tptp.true (tptp.p3 tptp.e tptp.b tptp.e) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.q2 I G H) tptp.true (tptp.ifeq (tptp.n0 I G) tptp.true (tptp.q3 G H) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.q3 F E) tptp.true (tptp.ifeq (tptp.p2 F E E) tptp.true (tptp.q3 E E) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted) (B $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.q3 C B) tptp.true (tptp.ifeq (tptp.s2 B) tptp.true (tptp.ifeq (tptp.n1 D B C) tptp.true (tptp.q3 B C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.r2 I) tptp.true (tptp.ifeq (tptp.l2 A A) tptp.true (tptp.ifeq (tptp.s1 J) tptp.true (tptp.q3 I I) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.q3 H G) tptp.true (tptp.ifeq (tptp.r2 tptp.d) tptp.true (tptp.ifeq (tptp.m0 H tptp.d H) tptp.true (tptp.ifeq (tptp.k1 G) tptp.true (tptp.q3 G G) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.s2 H) tptp.true (tptp.ifeq (tptp.l2 tptp.c G) tptp.true (tptp.r3 G H H) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.r2 D) tptp.true (tptp.ifeq (tptp.n1 F F F) tptp.true (tptp.ifeq (tptp.l1 E F) tptp.true (tptp.r3 D D D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.r3 A B A) tptp.true (tptp.ifeq (tptp.l2 C B) tptp.true (tptp.ifeq (tptp.p1 B C A) tptp.true (tptp.r3 A A A) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.r3 I I J) tptp.true (tptp.ifeq (tptp.m0 tptp.d J I) tptp.true (tptp.r3 I I I) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.s2 H) tptp.true (tptp.r3 H H H) tptp.true) tptp.true)) (forall ((G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.l2 G F) tptp.true (tptp.r3 F F F) tptp.true) tptp.true)) (forall ((E $$unsorted)) (= (tptp.ifeq (tptp.r2 E) tptp.true (tptp.r3 E E E) tptp.true) tptp.true)) (forall ((B $$unsorted) (D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p2 B D C) tptp.true (tptp.r3 B C B) tptp.true) tptp.true)) (forall ((I $$unsorted) (A $$unsorted) (J $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.r3 I A A) tptp.true (tptp.ifeq (tptp.m3 J tptp.b H) tptp.true (tptp.ifeq (tptp.m2 I) tptp.true (tptp.r3 H H I) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.m3 tptp.a G G) tptp.true (tptp.ifeq (tptp.q2 G tptp.e G) tptp.true (tptp.ifeq (tptp.m2 tptp.b) tptp.true (tptp.ifeq (tptp.k2 tptp.a tptp.a) tptp.true (tptp.r3 tptp.a tptp.a tptp.e) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted)) (= (tptp.ifeq (tptp.p2 tptp.b F tptp.b) tptp.true (tptp.ifeq (tptp.l2 F F) tptp.true (tptp.ifeq (tptp.r0 F) tptp.true (tptp.r3 F tptp.b F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (C $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.r3 D D D) tptp.true (tptp.ifeq (tptp.p3 D C E) tptp.true (tptp.r3 C C C) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.r3 B J J) tptp.true (tptp.ifeq (tptp.r2 B) tptp.true (tptp.ifeq (tptp.k2 A B) tptp.true (tptp.r3 J A B) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (A $$unsorted) (B $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.s2 I) tptp.true (tptp.ifeq (tptp.q2 A I A) tptp.true (tptp.ifeq (tptp.m0 A B J) tptp.true (tptp.s3 I J) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.q3 tptp.e tptp.b) tptp.true (tptp.ifeq (tptp.n3 tptp.e) tptp.true (tptp.ifeq _let_7 tptp.true (tptp.k4 tptp.c) tptp.true) tptp.true) tptp.true) tptp.true) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.r3 C tptp.e D) tptp.true (tptp.ifeq (tptp.q3 C C) tptp.true (tptp.ifeq (tptp.q1 tptp.a tptp.a D) tptp.true (tptp.k4 tptp.e) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (B $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.p3 A B J) tptp.true (tptp.l4 J) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.l4 I) tptp.true (tptp.ifeq (tptp.m0 I H H) tptp.true (tptp.l4 H) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (G $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.s3 tptp.a E) tptp.true (tptp.ifeq (tptp.l2 G F) tptp.true (tptp.m4 E F) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.n4 J J) tptp.true (tptp.ifeq (tptp.p3 J A A) tptp.true (tptp.n4 J A) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.k3 tptp.c tptp.c tptp.e) tptp.true (tptp.ifeq _let_6 tptp.true (tptp.n4 tptp.d tptp.d) tptp.true) tptp.true) tptp.true) (= (tptp.ifeq (tptp.p3 tptp.b tptp.e tptp.a) tptp.true (tptp.ifeq (tptp.l3 tptp.b tptp.a) tptp.true (tptp.n4 tptp.e tptp.e) tptp.true) tptp.true) tptp.true) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.k4 I) tptp.true (tptp.ifeq (tptp.m3 H H H) tptp.true (tptp.n4 H H) tptp.true) tptp.true) tptp.true)) (forall ((H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.r3 H G H) tptp.true (tptp.ifeq (tptp.r0 G) tptp.true (tptp.p4 G G H) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.q3 E F) tptp.true (tptp.ifeq (tptp.n3 D) tptp.true (tptp.p4 D D D) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.k3 B B C) tptp.true (tptp.p4 B C B) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.p4 J J A) tptp.true (tptp.ifeq (tptp.r3 I I H) tptp.true (tptp.p4 H I I) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (G $$unsorted) (D $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p4 F G F) tptp.true (tptp.ifeq (tptp.l4 D) tptp.true (tptp.ifeq (tptp.n0 D E) tptp.true (tptp.p4 D D D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.p4 A C A) tptp.true (tptp.ifeq (tptp.m3 B C A) tptp.true (tptp.p4 A A A) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.p3 J J I) tptp.true (tptp.p4 I I I) tptp.true) tptp.true)) (forall ((F $$unsorted) (H $$unsorted) (G $$unsorted)) (= (tptp.ifeq (tptp.n4 F H) tptp.true (tptp.ifeq (tptp.k3 G H H) tptp.true (tptp.ifeq (tptp.p1 H G F) tptp.true (tptp.p4 F F F) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.n4 E C) tptp.true (tptp.ifeq (tptp.q3 D E) tptp.true (tptp.ifeq (tptp.l3 D D) tptp.true (tptp.p4 C C C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.n3 tptp.a) tptp.true (tptp.ifeq (tptp.m3 B tptp.c tptp.a) tptp.true (tptp.p4 tptp.c tptp.c B) tptp.true) tptp.true) tptp.true)) (forall ((E $$unsorted) (F $$unsorted) (D $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.m3 E F E) tptp.true (tptp.ifeq (tptp.k3 D D B) tptp.true (tptp.ifeq (tptp.q2 E C B) tptp.true (tptp.q4 B C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.q4 J A) tptp.true (tptp.ifeq (tptp.l4 J) tptp.true (tptp.ifeq (tptp.r1 I) tptp.true (tptp.q4 I I) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.k3 tptp.c tptp.e tptp.b) tptp.true (tptp.ifeq (tptp.l1 tptp.b tptp.c) tptp.true (tptp.q4 tptp.b tptp.b) tptp.true) tptp.true) tptp.true) (forall ((H $$unsorted) (I $$unsorted) (G $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.q3 H I) tptp.true (tptp.ifeq (tptp.n3 G) tptp.true (tptp.ifeq (tptp.p0 J G) tptp.true (tptp.r4 G) tptp.true) tptp.true) tptp.true) tptp.true)) _let_5 (forall ((F $$unsorted) (G $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.s4 F) tptp.true (tptp.ifeq (tptp.r3 G E E) tptp.true (tptp.k5 E) tptp.true) tptp.true) tptp.true)) _let_4 (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.q4 I I) tptp.true (tptp.ifeq (tptp.k1 H) tptp.true (tptp.l5 H) tptp.true) tptp.true) tptp.true)) (forall ((D $$unsorted) (F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.p4 D F E) tptp.true (tptp.ifeq (tptp.r0 D) tptp.true (tptp.m5 D E) tptp.true) tptp.true) tptp.true)) (forall ((C $$unsorted)) (= (tptp.ifeq (tptp.k4 C) tptp.true (tptp.m5 C C) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.s4 B) tptp.true (tptp.ifeq (tptp.m4 tptp.e tptp.e) tptp.true (tptp.m5 B B) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.s4 A) tptp.true (tptp.ifeq (tptp.r0 J) tptp.true (tptp.m5 J J) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (B $$unsorted)) (= (tptp.ifeq (tptp.n5 F C) tptp.true (tptp.ifeq (tptp.q4 D E) tptp.true (tptp.ifeq (tptp.p4 F F C) tptp.true (tptp.ifeq (tptp.n4 B E) tptp.true (tptp.n5 B C) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((A $$unsorted) (J $$unsorted)) (= (tptp.ifeq (tptp.n5 A J) tptp.true (tptp.ifeq (tptp.m0 A J A) tptp.true (tptp.n5 J J) tptp.true) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.n4 I H) tptp.true (tptp.n5 H H) tptp.true) tptp.true)) (forall ((G $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.k5 tptp.d) tptp.true (tptp.ifeq (tptp.m4 G G) tptp.true (tptp.ifeq (tptp.p0 E F) tptp.true (tptp.n5 E E) tptp.true) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.p4 tptp.c tptp.d tptp.c) tptp.true (tptp.n5 tptp.d tptp.d) tptp.true) tptp.true) (= (tptp.ifeq (tptp.n4 tptp.b tptp.e) tptp.true (tptp.ifeq (tptp.r3 tptp.d tptp.b tptp.c) tptp.true (tptp.n5 tptp.b tptp.e) tptp.true) tptp.true) tptp.true) (forall ((D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.q4 D C) tptp.true (tptp.n5 C C) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.r4 B) tptp.true (tptp.n5 B B) tptp.true) tptp.true)) (forall ((A $$unsorted)) (= (tptp.ifeq (tptp.k4 A) tptp.true (tptp.ifeq (tptp.s1 A) tptp.true (tptp.n5 A A) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.p4 tptp.b tptp.b J) tptp.true (tptp.ifeq (tptp.p4 I H H) tptp.true (tptp.ifeq (tptp.s1 H) tptp.true (tptp.n5 H H) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.n4 G tptp.d) tptp.true (tptp.ifeq (tptp.k3 tptp.d G tptp.a) tptp.true (tptp.n5 tptp.d G) tptp.true) tptp.true) tptp.true)) (forall ((F $$unsorted) (E $$unsorted)) (= (tptp.ifeq (tptp.s4 F) tptp.true (tptp.ifeq (tptp.l2 E E) tptp.true (tptp.p5 E E F) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted) (D $$unsorted) (C $$unsorted)) (= (tptp.ifeq (tptp.p5 B D B) tptp.true (tptp.ifeq (tptp.m4 D C) tptp.true (tptp.ifeq (tptp.l2 B D) tptp.true (tptp.p5 B C C) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted) (I $$unsorted)) (= (tptp.ifeq (tptp.q4 J A) tptp.true (tptp.ifeq (tptp.s1 I) tptp.true (tptp.p5 I J I) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.k5 tptp.b) tptp.true (tptp.ifeq (tptp.p4 G G H) tptp.true (tptp.p5 tptp.b tptp.b tptp.b) tptp.true) tptp.true) tptp.true)) (forall ((J $$unsorted) (A $$unsorted)) (= (tptp.ifeq (tptp.s4 J) tptp.true (tptp.ifeq (tptp.m2 A) tptp.true (tptp.q5 J A) tptp.true) tptp.true) tptp.true)) (= (tptp.ifeq (tptp.r4 tptp.a) tptp.true (tptp.q5 tptp.a tptp.a) tptp.true) tptp.true) (forall ((I $$unsorted)) (= (tptp.ifeq (tptp.l4 I) tptp.true (tptp.q5 I I) tptp.true) tptp.true)) (forall ((H $$unsorted)) (= (tptp.ifeq (tptp.q4 H H) tptp.true (tptp.q5 H H) tptp.true) tptp.true)) (forall ((G $$unsorted)) (= (tptp.ifeq (tptp.m4 G G) tptp.true (tptp.q5 G G) tptp.true) tptp.true)) (forall ((C $$unsorted) (D $$unsorted)) (= (tptp.ifeq (tptp.s4 C) tptp.true (tptp.ifeq (tptp.n3 D) tptp.true (tptp.ifeq (tptp.k0 tptp.b) tptp.true (tptp.r5 C D) tptp.true) tptp.true) tptp.true) tptp.true)) (forall ((B $$unsorted)) (= (tptp.ifeq (tptp.k4 B) tptp.true (tptp.r5 B B) tptp.true) tptp.true)) (forall ((I $$unsorted) (H $$unsorted)) (= (tptp.ifeq (tptp.r4 I) tptp.true (tptp.ifeq (tptp.l4 H) tptp.true (tptp.s5 H) tptp.true) tptp.true) tptp.true)) (forall ((G $$unsorted) (E $$unsorted) (F $$unsorted)) (= (tptp.ifeq (tptp.s5 G) tptp.true (tptp.ifeq (tptp.l5 G) tptp.true (tptp.ifeq (tptp.k4 E) tptp.true (tptp.ifeq (tptp.s3 E F) tptp.true (tptp.s5 E) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 62.80/63.02 )
% 62.80/63.02 % SZS output end Proof for SYN116-10
% 62.80/63.02 % cvc5---1.0.5 exiting
% 62.80/63.02 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------