%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE030+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 : Thu Aug 31 05:26:58 EDT 2023

% Result   : Theorem 169.25s 169.42s
% Output   : Proof 169.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : KLE030+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n026.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   : Tue Aug 29 11:45:50 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 169.25/169.42  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RvTcH3Y2Ee/cvc5---1.0.5_5537.p...
% 169.25/169.42  ------- get file name : TPTP file name is KLE030+1
% 169.25/169.42  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5537.smt2...
% 169.25/169.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 169.25/169.42  --- Run --no-e-matching --full-saturate-quant at 5...
% 169.25/169.42  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 169.25/169.42  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 169.25/169.42  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 169.25/169.42  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 169.25/169.42  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 169.25/169.42  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 169.25/169.42  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 169.25/169.42  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 169.25/169.42  --- Run --relevant-triggers --full-saturate-quant at 5...
% 169.25/169.42  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 169.25/169.42  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 169.25/169.42  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 169.25/169.42  --- Run --no-cbqi --full-saturate-quant at 10...
% 169.25/169.42  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 169.25/169.42  % SZS status Theorem for KLE030+1
% 169.25/169.42  % SZS output start Proof for KLE030+1
% 169.25/169.42  (
% 169.25/169.42  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (=> (and (tptp.test X3) (tptp.ismeet X0 X1 X2)) (tptp.ismeet (tptp.multiplication X3 X0) (tptp.multiplication X3 X1) X2)))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeetu X2 X0 X1) (forall ((X3 $$unsorted)) (= (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (=> (and (tptp.leq X3 X0) (tptp.leq X3 X1)) (tptp.leq X3 X2)))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_18 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_20 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20))) (let ((_let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22))) (let ((_let_24 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (= tptp.one _let_28))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (tptp.addition _let_31 _let_30))) (let ((_let_33 (= _let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20)))) (let ((_let_34 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_35 (= _let_28 _let_34))) (let ((_let_36 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_31))) (let ((_let_37 (= _let_36 (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_38 (tptp.addition _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_30))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (tptp.addition _let_30 _let_31))) (let ((_let_42 (= _let_32 _let_41))) (let ((_let_43 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_44 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_46 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (= _let_46 _let_45))) (let ((_let_48 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_51))) (let ((_let_53 (tptp.addition _let_31 tptp.zero))) (let ((_let_54 (= _let_31 _let_53))) (let ((_let_55 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.zero))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_55))) (let ((_let_57 (tptp.addition _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_51) _let_57))) (let ((_let_59 (= (tptp.addition _let_30 _let_53) (tptp.addition _let_41 tptp.zero)))) (let ((_let_60 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_61 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60))) (let ((_let_62 (= _let_61 (tptp.addition _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_64 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_67 (= _let_55 _let_66))) (let ((_let_68 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_69 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_68) (tptp.addition _let_30 _let_24)))) (let ((_let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_60))) (let ((_let_71 (tptp.addition _let_30 _let_70))) (let ((_let_72 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_61) _let_71))) (let ((_let_73 (tptp.multiplication tptp.zero tptp.zero))) (let ((_let_74 (= tptp.zero _let_73))) (let ((_let_75 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (= tptp.zero (tptp.multiplication _let_75 tptp.zero)))) (let ((_let_77 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (= tptp.zero _let_77))) (let ((_let_79 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_80 (= tptp.zero _let_79))) (let ((_let_81 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_82 (= tptp.zero _let_81))) (let ((_let_83 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_84 (= tptp.zero _let_83))) (let ((_let_85 (= tptp.zero (tptp.multiplication _let_41 tptp.zero)))) (let ((_let_86 (tptp.addition _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_87 (= _let_86 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22)))) (let ((_let_88 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.one)))) (let ((_let_89 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero))) (let ((_let_90 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_89))) (let ((_let_91 (= _let_30 _let_39))) (let ((_let_92 (= _let_31 _let_36))) (let ((_let_93 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_94 (= (tptp.multiplication tptp.zero _let_49) (tptp.addition _let_93 _let_77)))) (let ((_let_95 (= tptp.zero (tptp.multiplication tptp.zero _let_48)))) (let ((_let_96 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_89) (tptp.addition _let_63 tptp.zero)))) (let ((_let_97 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero))) (let ((_let_98 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_99 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_89) (tptp.addition _let_98 _let_97)))) (let ((_let_100 (tptp.multiplication _let_64 tptp.zero))) (let ((_let_101 (= (tptp.multiplication _let_86 tptp.zero) (tptp.addition _let_100 _let_79)))) (let ((_let_102 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_103 (= _let_89 _let_102))) (let ((_let_104 (tptp.multiplication _let_60 tptp.zero))) (let ((_let_105 (= tptp.zero _let_104))) (let ((_let_106 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_28) (tptp.addition _let_98 _let_24)))) (let ((_let_107 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_108 (= _let_93 (tptp.addition _let_93 tptp.zero)))) (let ((_let_109 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_57))) (let ((_let_110 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))) (let ((_let_111 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_112 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_45) (tptp.addition _let_31 _let_111)))) (let ((_let_113 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_114 (tptp.addition _let_113 _let_111))) (let ((_let_115 (= (tptp.multiplication _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_114))) (let ((_let_116 (= (tptp.multiplication _let_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.addition _let_93 _let_111)))) (let ((_let_117 (= (tptp.multiplication _let_63 tptp.zero) (tptp.addition _let_83 _let_97)))) (let ((_let_118 (= (tptp.multiplication (tptp.addition _let_64 tptp.zero) tptp.zero) (tptp.addition _let_100 _let_73)))) (let ((_let_119 (= (tptp.multiplication _let_71 _let_81) (tptp.addition (tptp.multiplication _let_30 _let_81) (tptp.multiplication _let_70 _let_81))))) (let ((_let_120 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_104) (tptp.multiplication _let_70 tptp.zero)))) (let ((_let_121 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30))) (let ((_let_122 (= _let_121 (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_123 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_31) (tptp.multiplication _let_98 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_124 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_38) (tptp.addition _let_121 _let_113)))) (let ((_let_125 (= (tptp.addition tptp.zero _let_114) (tptp.addition (tptp.addition tptp.zero _let_113) _let_111)))) (let ((_let_126 (not _let_29))) (let ((_let_127 (not _let_27))) (let ((_let_128 (not _let_25))) (let ((_let_129 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_130 (not _let_129))) (let ((_let_131 (not _let_91))) (let ((_let_132 (or _let_131 _let_130 _let_92))) (let ((_let_133 (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_134 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_133))) (let ((_let_135 (= _let_30 _let_32))) (let ((_let_136 (and _let_135 _let_134 _let_132))) (let ((_let_137 (forall ((X3 $$unsorted)) (or (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_138 (not _let_137))) (let ((_let_139 (not _let_23))) (let ((_let_140 (not _let_21))) (let ((_let_141 (or _let_140 _let_139 _let_138 _let_136 _let_128 _let_127 _let_126))) (let ((_let_142 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (BOUND_VARIABLE_1124 $$unsorted) (BOUND_VARIABLE_1112 $$unsorted)) (let ((_let_1 (tptp.multiplication X3 X0))) (let ((_let_2 (tptp.multiplication X3 X1))) (or (not (= X1 (tptp.addition X0 X1))) (not (= X2 (tptp.addition X0 X2))) (not (forall ((X3 $$unsorted)) (or (not (= X1 (tptp.addition X3 X1))) (not (= X2 (tptp.addition X3 X2))) (= X0 (tptp.addition X3 X0))))) (and (= _let_2 (tptp.addition _let_1 _let_2)) (= X2 (tptp.addition _let_1 X2)) (or (not (= _let_2 (tptp.addition BOUND_VARIABLE_1124 _let_2))) (not (= X2 (tptp.addition BOUND_VARIABLE_1124 X2))) (= _let_1 (tptp.addition BOUND_VARIABLE_1124 _let_1)))) (not (= tptp.zero (tptp.multiplication X3 BOUND_VARIABLE_1112))) (not (= tptp.zero (tptp.multiplication BOUND_VARIABLE_1112 X3))) (not (= tptp.one (tptp.addition X3 BOUND_VARIABLE_1112))))))))) (let ((_let_143 (not _let_141))) (let ((_let_144 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.leq (lambda ((BOUND_VARIABLE_829 $$unsorted) (BOUND_VARIABLE_830 $$unsorted)) (= BOUND_VARIABLE_830 (tptp.addition BOUND_VARIABLE_829 BOUND_VARIABLE_830)))))))) (let ((_let_145 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.test (lambda ((BOUND_VARIABLE_839 $$unsorted)) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 BOUND_VARIABLE_839)))))))))) (let ((_let_146 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.complement (lambda ((BOUND_VARIABLE_848 $$unsorted) (BOUND_VARIABLE_849 $$unsorted)) (and (= tptp.zero (tptp.multiplication BOUND_VARIABLE_849 BOUND_VARIABLE_848)) (= tptp.zero (tptp.multiplication BOUND_VARIABLE_848 BOUND_VARIABLE_849)) (= tptp.one (tptp.addition BOUND_VARIABLE_849 BOUND_VARIABLE_848))))))))) (let ((_let_147 (AND_INTRO _let_146 _let_145 _let_144))) (let ((_let_148 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO _let_147 :args ((forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (= (tptp.ismeet X2 X0 X1) (and (tptp.leq X2 X0) (tptp.leq X2 X1) (forall ((X3 $$unsorted)) (or (not (tptp.leq X3 X0)) (not (tptp.leq X3 X1)) (tptp.leq X3 X2)))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.ismeet (lambda ((BOUND_VARIABLE_979 $$unsorted) (BOUND_VARIABLE_980 $$unsorted) (BOUND_VARIABLE_981 $$unsorted)) (and (= BOUND_VARIABLE_980 (tptp.addition BOUND_VARIABLE_979 BOUND_VARIABLE_980)) (= BOUND_VARIABLE_981 (tptp.addition BOUND_VARIABLE_979 BOUND_VARIABLE_981)) (forall ((X3 $$unsorted)) (or (not (= BOUND_VARIABLE_980 (tptp.addition X3 BOUND_VARIABLE_980))) (not (= BOUND_VARIABLE_981 (tptp.addition X3 BOUND_VARIABLE_981))) (= BOUND_VARIABLE_979 (tptp.addition X3 BOUND_VARIABLE_979))))))))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_148 _let_146 _let_145 _let_144) :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.ismeetu (lambda ((BOUND_VARIABLE_1027 $$unsorted) (BOUND_VARIABLE_1028 $$unsorted) (BOUND_VARIABLE_1029 $$unsorted)) (forall ((X3 $$unsorted)) (= (= BOUND_VARIABLE_1027 (tptp.addition X3 BOUND_VARIABLE_1027)) (and (= BOUND_VARIABLE_1028 (tptp.addition X3 BOUND_VARIABLE_1028)) (= BOUND_VARIABLE_1029 (tptp.addition X3 BOUND_VARIABLE_1029))))))))) _let_148 _let_146 _let_145 _let_144) :args ((not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (tptp.test X3)) (not (tptp.ismeet X0 X1 X2)) (tptp.ismeet (tptp.multiplication X3 X0) (tptp.multiplication X3 X1) X2)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_150 (or))) (let ((_let_151 (not _let_142))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_149) :args (_let_151))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_151) _let_142))) (REFL :args (_let_143)) :args _let_150)) _let_149 :args (_let_143 true _let_142)))) (let ((_let_153 (REFL :args (_let_141)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 0)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_140) _let_21))) :args _let_150)) :args ((or _let_21 _let_141))) _let_152 :args (_let_21 true _let_141)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 1)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_139) _let_23))) :args _let_150)) :args ((or _let_23 _let_141))) _let_152 :args (_let_23 true _let_141)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 4)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_25))) :args _let_150)) :args ((or _let_25 _let_141))) _let_152 :args (_let_25 true _let_141)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 5)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_27))) :args _let_150)) :args ((or _let_27 _let_141))) _let_152 :args (_let_27 true _let_141)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 6)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_29))) :args _let_150)) :args ((or _let_29 _let_141))) _let_152 :args (_let_29 true _let_141)))) (let ((_let_159 (_let_12))) (let ((_let_160 (ASSUME :args _let_159))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_159))) _let_160 :args (_let_33 false _let_12)))) (let ((_let_162 (_let_19))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 ((tptp.addition A B)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_35 false _let_19)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_40 false _let_19)))) (let ((_let_167 (or _let_140 _let_139 _let_44))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_141 2)) (CONG _let_153 (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_137))) :args _let_150)) :args ((or _let_137 _let_141))) _let_152 :args (_let_137 true _let_141)))) (let ((_let_169 (_let_137))) (let ((_let_170 ((tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_171 (ASSUME :args _let_169))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_140 _let_139 _let_44 (not _let_167)))) _let_154 _let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_169)) _let_168 :args (_let_167 false _let_137)) :args (_let_44 false _let_21 false _let_23 false _let_167)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_50 false _let_19)))) (let ((_let_174 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (_let_174))) (let ((_let_177 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args _let_177) :args _let_176)) _let_175 :args (_let_52 false _let_174)))) (let ((_let_179 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_180 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_181 (_let_179))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_181)) _let_180 :args (_let_54 false _let_179)))) (let ((_let_183 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args _let_183) :args _let_181)) _let_180 :args (_let_56 false _let_179)))) (let ((_let_185 (_let_18))) (let ((_let_186 (ASSUME :args _let_185))) (let ((_let_187 ((tptp.addition A (tptp.addition B C))))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_187)) :args _let_185)) _let_186 :args (_let_58 false _let_18)))) (let ((_let_189 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_67 false _let_19)))) (let ((_let_191 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_192 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_193 (_let_191))) (let ((_let_194 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_195 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_196 (_let_194))) (let ((_let_197 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_198 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_199 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_200 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_201 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_202 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args _let_202) :args _let_181)) _let_180 :args (_let_90 false _let_179)))) (let ((_let_204 (= _let_133 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31)))) (let ((_let_205 (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_206 (tptp.addition _let_205 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_207 (= (tptp.addition _let_31 _let_22) _let_206))) (let ((_let_208 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_209 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_208))) (let ((_let_210 (= (tptp.addition _let_31 _let_208) (tptp.addition _let_133 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_211 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition _let_206 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_204 false _let_19)))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31 QUANTIFIERS_INST_E_MATCHING _let_187)) :args _let_185)) _let_186 :args (_let_207 false _let_18)))) (let ((_let_214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args _let_198) :args _let_176)) _let_175 :args (_let_209 false _let_174)))) (let ((_let_215 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_185)) _let_186 :args (_let_210 false _let_18)))) (let ((_let_216 (= _let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_217 (= _let_206 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_205)))) (let ((_let_218 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_219 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_218))) (let ((_let_220 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_221 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_220))) (let ((_let_222 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_223 (= (tptp.addition _let_31 _let_222) (tptp.addition _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_224 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_222))) (let ((_let_225 (= _let_224 (tptp.addition _let_220 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_226 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_227 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_226))) (let ((_let_228 (= _let_227 (tptp.addition _let_218 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_229 (= _let_222 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_230 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition _let_222 tptp.zero)) (tptp.addition _let_224 tptp.zero)))) (let ((_let_231 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_222))) (let ((_let_232 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_233 (= (tptp.multiplication _let_227 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_31 (tptp.multiplication _let_226 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_234 (= tptp.one _let_226))) (let ((_let_235 (not _let_234))) (let ((_let_236 (or (not (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (not (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) _let_235))) (let ((_let_237 (forall ((X1 $$unsorted)) (or (not (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X1))) (not (= tptp.zero (tptp.multiplication X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (not (= tptp.one (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 X1))))))) (let ((_let_238 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_239 (= tptp.zero _let_238))) (let ((_let_240 (not _let_237))) (let ((_let_241 (or _let_240 _let_239))) (let ((_let_242 (tptp.addition _let_31 _let_31))) (let ((_let_243 (= _let_242 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_43)))) (let ((_let_244 (= _let_242 (tptp.multiplication _let_218 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_245 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_238))) (let ((_let_246 (tptp.addition tptp.zero _let_31))) (let ((_let_247 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_246) (tptp.addition _let_220 _let_31)))) (let ((_let_248 (= _let_53 _let_246))) (let ((_let_249 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args 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:args _let_297) (CONG _let_506 (TRANS _let_486 _let_479) :args _let_297) (SYMM _let_505) (CONG _let_375 _let_357 :args _let_325) (CONG _let_375 _let_429 :args _let_325) (SYMM _let_504)) _let_373 :args _let_325) _let_376))) (let ((_let_532 (ASSUME :args (_let_112)))) (let ((_let_533 (ASSUME :args (_let_47)))) (let ((_let_534 (ASSUME :args (_let_110)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_473)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_530 _let_526 _let_520 _let_500 _let_501 _let_517 _let_529 _let_490 _let_532 _let_510 _let_496 _let_498 _let_434 _let_504 _let_488 _let_508 _let_524 _let_505 _let_317 _let_491 _let_499 _let_425 _let_440 _let_476 _let_359 _let_518 _let_521 _let_533 _let_513 _let_373 _let_474 _let_380 _let_485 _let_395 _let_484 _let_481 _let_509 _let_450 _let_479 _let_302 _let_528 _let_514 _let_357 _let_420 _let_477 _let_417 _let_502 _let_493 _let_452 _let_516 _let_507 _let_525 _let_527 _let_534 _let_475 _let_397 _let_512) (SCOPE (TRANS (SYMM _let_376) (CONG _let_375 (TRANS _let_374 (SYMM (SYMM _let_534)) (SYMM (SYMM _let_533))) :args _let_325) (SYMM (SYMM _let_532)) (CONG (SYMM _let_531) _let_478 :args _let_297) (CONG _let_531 (TRANS (CONG (TRANS _let_503 (SYMM (SYMM _let_502))) _let_423 :args _let_325) (SYMM (SYMM _let_501)) (CONG (TRANS (TRANS (SYMM (SYMM _let_500)) (CONG (REFL :args (_let_93)) (SYMM (SYMM _let_499)) :args _let_297) (SYMM _let_498) (CONG _let_336 _let_483 :args _let_325) _let_482 _let_479) (TRANS _let_480 _let_481 (SYMM _let_487) _let_489 (CONG _let_385 (TRANS _let_460 _let_396 _let_491 (SYMM _let_492) _let_493 (SYMM _let_495) _let_497) :args _let_325) (CONG _let_385 (TRANS (SYMM _let_497) _let_495 (SYMM _let_493) _let_492 (SYMM _let_491) _let_437 _let_436 _let_462 (SYMM _let_441)) :args _let_325) (SYMM (SYMM _let_490)) (CONG (TRANS (TRANS (SYMM _let_489) _let_487 _let_482 _let_479) _let_480) (REFL :args (_let_113)) :args _let_297))) _let_478 :args _let_297) (SYMM _let_477) (CONG _let_336 (TRANS (SYMM _let_476) (CONG _let_429 _let_423 :args _let_325) (SYMM _let_475)) :args _let_297) _let_453 _let_451) :args _let_297) (SYMM _let_474)) :args (_let_123 _let_119 _let_120 _let_108 _let_116 _let_117 _let_99 _let_124 _let_112 _let_80 _let_69 _let_94 _let_91 _let_88 _let_122 _let_87 _let_84 _let_106 _let_54 _let_42 _let_78 _let_50 _let_40 _let_115 _let_29 _let_105 _let_82 _let_47 _let_118 _let_44 _let_37 _let_90 _let_27 _let_33 _let_109 _let_95 _let_101 _let_56 _let_25 _let_23 _let_62 _let_65 _let_35 _let_52 _let_125 _let_58 _let_103 _let_59 _let_67 _let_96 _let_76 _let_85 _let_72 _let_110 _let_107 _let_21 _let_74))) :args (_let_21 _let_23 _let_91 _let_25 _let_27 _let_29 _let_33 _let_35 _let_37 _let_40 _let_42 _let_44 _let_110 _let_47 _let_50 _let_52 _let_54 _let_56 _let_58 _let_59 _let_62 _let_65 _let_67 _let_109 _let_80 _let_95 _let_78 _let_82 _let_76 _let_84 _let_85 _let_69 _let_72 _let_74 _let_87 _let_88 _let_90 _let_94 _let_96 _let_99 _let_101 _let_103 _let_105 _let_106 _let_107 _let_108 _let_112 _let_115 _let_116 _let_117 _let_118 _let_119 _let_120 _let_122 _let_123 _let_124 _let_125))) :args (true _let_473)) :args ((or _let_140 _let_139 _let_131 _let_92 _let_128 _let_127 _let_126 _let_393 _let_355 (not _let_37) _let_415 (not _let_42) _let_367 (not _let_110) _let_414 (not _let_47) _let_413 _let_290 _let_448 _let_467 _let_412 (not _let_59) (not _let_62) (not _let_65) _let_447 (not _let_80) (not _let_78) (not _let_82) (not _let_84) (not _let_76) (not _let_85) (not _let_95) (not _let_69) (not _let_72) (not _let_74) (not _let_87) (not _let_88) _let_364 (not _let_94) (not _let_96) (not _let_99) (not _let_101) (not _let_103) (not _let_105) (not _let_106) (not _let_107) (not _let_108) (not _let_112) (not _let_115) (not _let_116) (not _let_117) (not _let_118) (not _let_119) (not _let_120) (not _let_122) (not _let_123) (not _let_124) (not _let_125)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (_let_111 _let_113 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_185)) _let_186 :args (_let_125 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_159)) _let_160 :args (_let_124 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_471)) _let_472 :args (_let_123 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_471)) _let_472 :args (_let_122 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_472 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_60 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_471)) _let_472 :args (_let_120 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_30 _let_70 _let_81 QUANTIFIERS_INST_CBQI_PROP)) :args _let_282)) _let_283 :args (_let_119 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_64 tptp.zero tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_282)) _let_283 :args (_let_118 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_282)) _let_283 :args (_let_117 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_282)) _let_283 :args (_let_116 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_282)) _let_283 :args (_let_115 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_402)) :args _let_159)) _let_160 :args (_let_112 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_466)) :args ((or _let_130 _let_465 _let_110 (not _let_466)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_132 1)) (CONG _let_400 (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_129))) :args _let_150)) :args ((or _let_129 _let_132))) _let_399 :args (_let_129 true _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_468)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_470 _let_420 _let_417) (SCOPE (FALSE_ELIM (TRANS (CONG _let_428 (TRANS (SYMM _let_419) (CONG _let_423 (SYMM _let_422) :args _let_297)) :args _let_392) (FALSE_INTRO _let_470))) :args _let_469)) :args _let_469)) :args (true _let_468)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_465) _let_464))) (REFL :args (_let_414)) (REFL :args (_let_412)) (REFL :args (_let_467)) :args _let_150)) :args ((or _let_464 _let_414 _let_467 _let_412))) _let_463 _let_188 _let_178 :args (_let_464 false _let_109 false _let_58 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition X3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) :args _let_169)) _let_168 :args (_let_466 false _let_137)) :args (_let_110 false _let_129 false _let_464 false _let_466)) _let_463 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_93 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_181)) _let_180 :args (_let_108 false _let_179)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args _let_183) :args _let_280)) _let_279 :args (_let_107 false _let_278)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_159)) _let_160 :args (_let_106 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (_let_60 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_193)) _let_192 :args (_let_105 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_103 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_282)) _let_283 :args (_let_101 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_402)) :args _let_159)) _let_160 :args (_let_99 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_187)) :args _let_185)) _let_186 :args (_let_96 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (_let_48 QUANTIFIERS_INST_CBQI_PROP)) :args _let_196)) _let_195 :args (_let_95 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_159)) _let_160 :args (_let_94 false _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_132 2)) _let_399 :args ((not _let_92) true _let_132)) _let_401 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args _let_202) :args (_let_200))) _let_201 :args (_let_88 false _let_200)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_185))) _let_186 :args (_let_87 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (_let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_193)) _let_192 :args (_let_85 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args _let_199) :args _let_193)) _let_192 :args (_let_84 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args _let_197) :args _let_193)) _let_192 :args (_let_82 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args _let_198) :args _let_193)) _let_192 :args (_let_80 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args _let_197) :args _let_196)) _let_195 :args (_let_78 false _let_194)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (_let_75 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_193)) _let_192 :args (_let_76 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_192 :args (tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_193)) _let_192 :args (_let_74 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_159)) _let_160 :args (_let_72 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_159)) _let_160 :args (_let_69 false _let_12)) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_65 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_189)) :args _let_185)) _let_186 :args (_let_62 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.zero _let_31 _let_30 QUANTIFIERS_INST_E_MATCHING _let_187)) :args _let_185)) _let_186 :args (_let_59 false _let_18)) _let_188 _let_184 _let_182 _let_178 _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_47 false _let_19)) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_31 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_42 false _let_19)) _let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_164)) :args _let_162)) _let_163 :args (_let_37 false _let_19)) _let_165 _let_161 _let_158 _let_157 _let_156 _let_155 _let_154 :args (false false _let_125 false _let_124 false _let_123 false _let_122 false _let_120 false _let_119 false _let_118 false _let_117 false _let_116 false _let_115 false _let_112 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_103 false _let_101 false _let_99 false _let_96 false _let_95 false _let_94 true _let_92 false _let_91 false _let_90 false _let_88 false _let_87 false _let_85 false _let_84 false _let_82 false _let_80 false _let_78 false _let_76 false _let_74 false _let_72 false _let_69 false _let_67 false _let_65 false _let_62 false _let_59 false _let_58 false _let_56 false _let_54 false _let_52 false _let_50 false _let_47 false _let_44 false _let_42 false _let_40 false _let_37 false _let_35 false _let_33 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 169.26/169.45  )
% 169.26/169.45  % SZS output end Proof for KLE030+1
% 169.26/169.45  % cvc5---1.0.5 exiting
% 169.26/169.45  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------