TSTP Solution File: KLE011+2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE011+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 05:26:50 EDT 2023

% Result   : Theorem 5.40s 5.59s
% Output   : Proof 5.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KLE011+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 11:59:31 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 5.40/5.59  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OKMPgGmToz/cvc5---1.0.5_6641.p...
% 5.40/5.59  ------- get file name : TPTP file name is KLE011+2
% 5.40/5.59  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6641.smt2...
% 5.40/5.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.40/5.59  % SZS status Theorem for KLE011+2
% 5.40/5.59  % SZS output start Proof for KLE011+2
% 5.40/5.59  (
% 5.40/5.59  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _let_1)))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 tptp.one)))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (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_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.multiplication _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_20 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_22 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.addition _let_22 _let_20))) (let ((_let_24 (tptp.addition _let_23 _let_18))) (let ((_let_25 (tptp.leq _let_24 tptp.one))) (let ((_let_26 (tptp.leq tptp.one _let_24))) (let ((_let_27 (and _let_26 _let_25))) (let ((_let_28 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27))) (let ((_let_33 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _let_1)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 tptp.one))))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (not _let_33))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args (_let_37))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_36)) _let_35 :args (_let_34 true _let_33)))) (let ((_let_39 (tptp.addition _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (= (tptp.addition _let_21 _let_19) (tptp.addition _let_39 _let_17)))) (let ((_let_41 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (tptp.addition _let_41 _let_17))) (let ((_let_43 (= _let_42 (tptp.addition _let_16 _let_19)))) (let ((_let_44 (tptp.addition _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_45 (tptp.addition _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_46 (= (tptp.addition _let_44 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (tptp.addition _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (= (tptp.addition _let_47 _let_39) (tptp.addition (tptp.addition _let_47 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_49 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_44))) (let ((_let_50 (= _let_49 (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_51 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.addition _let_51 _let_44))) (let ((_let_53 (= _let_52 (tptp.addition (tptp.addition _let_51 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_55 (tptp.addition _let_47 _let_54))) (let ((_let_56 (= (tptp.addition _let_47 (tptp.addition _let_54 _let_54)) (tptp.addition _let_55 _let_54)))) (let ((_let_57 (= (tptp.addition _let_22 _let_54) (tptp.addition _let_54 _let_22)))) (let ((_let_58 (= _let_42 (tptp.addition _let_17 _let_41)))) (let ((_let_59 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47))) (let ((_let_60 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_61 (tptp.addition _let_54 _let_60))) (let ((_let_62 (tptp.addition _let_59 _let_61))) (let ((_let_63 (= _let_62 (tptp.addition _let_61 _let_59)))) (let ((_let_64 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44))) (let ((_let_65 (tptp.addition _let_64 _let_21))) (let ((_let_66 (= (tptp.addition _let_21 _let_64) _let_65))) (let ((_let_67 (= _let_52 (tptp.addition _let_44 _let_51)))) (let ((_let_68 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_17))) (let ((_let_69 (= (tptp.addition _let_21 _let_68) (tptp.addition _let_68 _let_21)))) (let ((_let_70 (tptp.c _let_16))) (let ((_let_71 (= _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_72 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (= (tptp.multiplication (tptp.addition _let_17 _let_19) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_72 _let_20)))) (let ((_let_74 (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_75 (= (tptp.multiplication (tptp.addition _let_41 _let_19) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_74 _let_20)))) (let ((_let_76 (= (tptp.multiplication _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_74 _let_72)))) (let ((_let_77 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_78 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_21))) (let ((_let_79 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_78) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_77)))) (let ((_let_80 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_60))) (let ((_let_81 (= _let_80 (tptp.addition _let_80 _let_80)))) (let ((_let_82 (= _let_16 (tptp.addition _let_16 _let_16)))) (let ((_let_83 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_84 (= (tptp.addition _let_17 _let_21) (tptp.addition _let_83 _let_16)))) (let ((_let_85 (tptp.addition _let_44 _let_17))) (let ((_let_86 (= _let_85 (tptp.addition _let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_17))))) (let ((_let_87 (= _let_45 (tptp.addition _let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_88 (tptp.addition _let_47 _let_61))) (let ((_let_89 (tptp.addition _let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_90 (= (tptp.addition _let_47 _let_89) (tptp.addition _let_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_91 (tptp.addition _let_18 _let_72))) (let ((_let_92 (= (tptp.addition _let_18 (tptp.addition _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.addition _let_91 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_93 (= (tptp.addition _let_17 _let_78) (tptp.addition (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_21)))) (let ((_let_94 (tptp.addition _let_17 _let_64))) (let ((_let_95 (= (tptp.addition _let_21 _let_94) (tptp.addition (tptp.addition _let_21 _let_17) _let_64)))) (let ((_let_96 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_88) _let_62))) (let ((_let_97 (tptp.addition _let_18 tptp.one))) (let ((_let_98 (tptp.addition _let_20 _let_97))) (let ((_let_99 (tptp.addition _let_22 _let_98))) (let ((_let_100 (= _let_99 (tptp.addition _let_98 _let_22)))) (let ((_let_101 (tptp.addition _let_64 _let_17))) (let ((_let_102 (= _let_94 _let_101))) (let ((_let_103 (= (tptp.addition _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) _let_49))) (let ((_let_104 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_105 (tptp.addition _let_21 _let_104))) (let ((_let_106 (= _let_105 (tptp.addition _let_104 _let_21)))) (let ((_let_107 (= (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_108 (= (tptp.c _let_20) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_109 (tptp.leq _let_21 _let_21))) (let ((_let_110 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_111 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_112 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 tptp.one)))) (let ((_let_113 (= _let_17 (tptp.multiplication _let_17 tptp.one)))) (let ((_let_114 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_115 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition _let_44 _let_21)) _let_65))) (let ((_let_116 (tptp.addition _let_17 _let_17))) (let ((_let_117 (= (tptp.addition _let_17 _let_51) (tptp.addition _let_116 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_118 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85) _let_101))) (let ((_let_119 (= _let_88 (tptp.addition _let_55 _let_60)))) (let ((_let_120 (= _let_94 _let_52))) (let ((_let_121 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116) (tptp.addition _let_19 _let_17)))) (let ((_let_122 (= _let_44 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_21)))) (let ((_let_123 (= tptp.one (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_124 (= _let_21 (tptp.addition _let_21 _let_21)))) (let ((_let_125 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_126 (= _let_64 (tptp.addition _let_125 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_127 (= _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_128 (= _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_129 (= tptp.zero (tptp.multiplication tptp.zero _let_20)))) (let ((_let_130 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_47 _let_20)))) (let ((_let_131 (= (tptp.multiplication (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_20 _let_47)))) (let ((_let_132 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_133 (= (tptp.multiplication _let_104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_47 _let_132)))) (let ((_let_134 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_135 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_136 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_137 (= _let_18 (tptp.multiplication _let_18 tptp.one)))) (let ((_let_138 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_139 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_140 (= _let_17 _let_116))) (let ((_let_141 (= _let_47 (tptp.addition _let_47 tptp.zero)))) (let ((_let_142 (= _let_105 (tptp.addition _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_143 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_24))) (let ((_let_144 (= _let_143 (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_23) _let_18)))) (let ((_let_145 (= _let_143 (tptp.addition _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_146 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_72))) (let ((_let_147 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47))) (let ((_let_148 (tptp.addition _let_146 _let_147))) (let ((_let_149 (= _let_148 (tptp.addition _let_147 _let_146)))) (let ((_let_150 (tptp.addition _let_72 _let_18))) (let ((_let_151 (= _let_150 (tptp.multiplication _let_17 _let_21)))) (let ((_let_152 (tptp.addition _let_72 _let_47))) (let ((_let_153 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_152) _let_148))) (let ((_let_154 (tptp.addition _let_47 _let_150))) (let ((_let_155 (= (tptp.multiplication _let_22 _let_154) (tptp.addition (tptp.multiplication _let_22 _let_47) (tptp.multiplication _let_22 _let_150))))) (let ((_let_156 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_157 (= (tptp.multiplication _let_22 _let_19) (tptp.multiplication _let_21 _let_156)))) (let ((_let_158 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20) (tptp.multiplication _let_156 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_159 (= (tptp.multiplication _let_22 _let_72) (tptp.multiplication (tptp.multiplication _let_22 _let_17) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_160 (= (tptp.addition _let_47 (tptp.addition _let_150 _let_22)) (tptp.addition _let_154 _let_22)))) (let ((_let_161 (tptp.addition _let_23 _let_97))) (let ((_let_162 (= _let_161 _let_99))) (let ((_let_163 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_164 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_143) (tptp.addition _let_163 _let_24)))) (let ((_let_165 (= (tptp.addition _let_18 _let_163) (tptp.addition (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_166 (= _let_150 _let_91))) (let ((_let_167 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41))) (let ((_let_168 (= _let_167 (tptp.addition _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_169 (= _let_41 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16)))) (let ((_let_170 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.c _let_17)))) (let ((_let_171 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_70))) (let ((_let_172 (= tptp.one _let_51))) (let ((_let_173 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_174 (= tptp.one _let_173))) (let ((_let_175 (= tptp.one _let_163))) (let ((_let_176 (= tptp.zero _let_132))) (let ((_let_177 (= _let_77 (tptp.addition _let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))))) (let ((_let_178 (tptp.addition _let_47 _let_72))) (let ((_let_179 (= _let_154 (tptp.addition _let_178 _let_18)))) (let ((_let_180 (tptp.addition _let_24 tptp.one))) (let ((_let_181 (= _let_180 _let_161))) (let ((_let_182 (= _let_39 _let_167))) (let ((_let_183 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_184 (= _let_183 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_83)))) (let ((_let_185 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_186 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_187 (tptp.addition _let_185 _let_186))) (let ((_let_188 (= _let_187 (tptp.addition _let_186 _let_185)))) 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_57 false _let_15)))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_41 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_58 false _let_15)))) (let ((_let_220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_59 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_63 false _let_15)))) (let ((_let_221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_21 _let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_66 false _let_15)))) (let ((_let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_51 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_67 false _let_15)))) (let ((_let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_21 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_69 false _let_15)))) (let ((_let_224 (tptp.complement _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_225 (= _let_224 _let_71))) (let ((_let_226 (tptp.test _let_16))) (let ((_let_227 (not _let_226))) (let ((_let_228 (or _let_227 _let_225))) (let ((_let_229 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_230 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_231 (_let_229))) (let ((_let_232 ((tptp.complement X0 X1)))) (let ((_let_233 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_234 (not _let_233))) (let ((_let_235 (= _let_226 _let_234))) (let ((_let_236 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 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(_let_241 false _let_229)) :args (_let_240 false _let_30 false _let_241)))) (let ((_let_245 (not _let_240))) (let ((_let_246 (_let_233))) (let ((_let_247 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_246) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.complement X1 _let_16) false))))) :args _let_246)) :args ((or _let_245 _let_234))) _let_244 :args (_let_234 false _let_240)))) (let ((_let_248 (not _let_235))) (let ((_let_249 (MACRO_SR_PRED_INTRO :args ((= (not _let_234) _let_233))))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_235)) (CONG (REFL :args (_let_248)) (REFL :args (_let_226)) _let_249 :args _let_36)) :args ((or _let_226 _let_233 _let_248))) _let_247 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_239)) :args _let_238)) _let_237 :args (_let_235 false _let_236)) :args (_let_226 true _let_233 false _let_235)))) (let ((_let_251 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_16))) (let ((_let_252 (= tptp.one _let_251))) (let ((_let_253 (= tptp.zero (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_254 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_16)))) (let ((_let_255 (and _let_254 _let_253 _let_252))) (let ((_let_256 (= _let_224 _let_255))) (let ((_let_257 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_258 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_259 (_let_257))) (let ((_let_260 ((tptp.multiplication X0 X1)))) (let ((_let_261 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_262 (= _let_261 _let_251))) (let ((_let_263 (= tptp.one 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((_let_272 (and _let_263 _let_262))) (let ((_let_273 (ASSUME :args (_let_262)))) (let ((_let_274 (ASSUME :args (_let_263)))) (let ((_let_275 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_225)) :args ((or (not _let_224) _let_71 (not _let_225)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_256)) :args ((or _let_224 (not _let_255) (not _let_256)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_255)) :args ((or (not _let_253) (not _let_254) _let_255 (not _let_252)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_264 0)) :args ((or _let_253 _let_271))) _let_270 :args (_let_253 false _let_264)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_264 1)) :args ((or _let_254 _let_271))) _let_270 :args (_let_254 false _let_264)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_272)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_273 _let_274) (SCOPE (TRANS (SYMM (SYMM _let_274)) (SYMM (SYMM 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_206)) :args _let_204)) _let_205 :args (_let_126 false _let_14)))) (let ((_let_472 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_473 (= _let_472 _let_127))) (let ((_let_474 (or _let_31 _let_473))) (let ((_let_475 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_476 (= tptp.one _let_475))) (let ((_let_477 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_478 (and _let_176 _let_477 _let_476))) (let ((_let_479 (= _let_472 _let_478))) (let ((_let_480 (= _let_163 _let_475))) (let ((_let_481 (and _let_477 _let_176 _let_175))) (let ((_let_482 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_483 (= _let_482 _let_481))) (let ((_let_484 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_485 (not _let_484))) (let ((_let_486 (= _let_30 _let_485))) (let ((_let_487 (not _let_482))) (let ((_let_488 (_let_485))) (let ((_let_489 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_483)) :args ((or _let_487 _let_481 (not _let_483)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_488)) :args _let_488) (REWRITE :args ((=> _let_485 (not _let_487)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_485) _let_484))) (REFL :args (_let_482)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_486)) :args ((or _let_31 _let_485 (not _let_486)))) _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_239)) :args _let_238)) _let_237 :args (_let_486 false _let_236)) 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false _let_472 false _let_473)))) (let ((_let_501 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_502 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_503 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_502 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_501))) _let_502 :args (_let_129 false _let_501)))) (let ((_let_504 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_278)) :args _let_276)) _let_277 :args (_let_130 false _let_7)))) (let ((_let_505 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_278)) :args _let_276)) _let_277 :args 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((_let_510 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_449 :args (_let_138 false _let_448)))) (let ((_let_511 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_449 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_451)) :args _let_450)) _let_449 :args (_let_139 false _let_448)))) (let ((_let_512 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_287 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_289)) :args _let_288)) _let_287 :args (_let_140 false _let_286)))) (let ((_let_513 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_514 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_515 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_514 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE 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_let_215)) _let_216 :args (_let_149 false _let_15)))) (let ((_let_520 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_282))) _let_283 :args (_let_151 false _let_8)))) (let ((_let_521 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_72 _let_47 QUANTIFIERS_INST_E_MATCHING _let_284)) :args _let_282)) _let_283 :args (_let_153 false _let_8)))) (let ((_let_522 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_283 :args (_let_22 _let_47 _let_150 QUANTIFIERS_INST_E_MATCHING _let_284)) :args _let_282)) _let_283 :args (_let_155 false _let_8)))) (let ((_let_523 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_455 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 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QUANTIFIERS_INST_E_MATCHING _let_206)) :args _let_204))) _let_205 :args (_let_162 false _let_14)))) (let ((_let_528 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_206)) :args _let_204)) _let_205 :args (_let_164 false _let_14)))) (let ((_let_529 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_205 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 QUANTIFIERS_INST_E_MATCHING _let_210)) :args _let_204)) _let_205 :args (_let_165 false _let_14)))) (let ((_let_530 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_72 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_166 false _let_15)))) (let ((_let_531 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_41 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(CNF_EQUIV_POS1 :args (_let_534)) :args ((or (not _let_533) _let_170 (not _let_534)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_538)) :args ((or _let_533 (not _let_537) (not _let_538)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_537)) _let_542 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_393 0)) :args ((or _let_392 _let_396))) _let_395 :args (_let_392 false _let_393)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_540)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_411 _let_408) (SCOPE (TRANS (SYMM _let_409) _let_412) :args _let_541)) :args _let_541)) :args (true _let_540)) :args ((or _let_536 _let_401 _let_400))) _let_397 _let_398 :args (_let_536 false _let_172 false _let_203)) :args (_let_537 false _let_198 false _let_392 false _let_536)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_539)) :args _let_259)) _let_258 :args (_let_538 false _let_257)) :args (_let_533 false _let_537 false _let_538)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_535)) :args ((or _let_351 _let_534 (not _let_535)))) _let_349 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_230 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_231)) _let_230 :args (_let_535 false _let_229)) :args (_let_534 false _let_309 false _let_535)) :args (_let_170 false _let_533 false _let_534)))) (let ((_let_544 (tptp.complement _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_545 (= _let_544 _let_171))) (let ((_let_546 (or _let_227 _let_545))) (let ((_let_547 (= tptp.one _let_21))) (let ((_let_548 (= tptp.zero (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_549 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16)))) (let ((_let_550 (and _let_549 _let_548 _let_547))) (let ((_let_551 (= _let_544 _let_550))) (let ((_let_552 (and _let_548 _let_549 _let_174))) (let ((_let_553 (= _let_240 _let_552))) (let ((_let_554 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_553)) :args ((or _let_552 _let_245 (not _let_553)))) _let_244 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_258 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_260)) :args _let_259)) _let_258 :args (_let_553 false _let_257)) :args (_let_552 false _let_240 false _let_553)))) (let ((_let_555 (not _let_552))) (let ((_let_556 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_552 2)) :args ((or _let_174 _let_555))) _let_554 :args (_let_174 false _let_552)))) (let ((_let_557 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215)) _let_216 :args (_let_202 false _let_15)))) (let ((_let_558 (not 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_let_290 _let_285 _let_281 _let_280 _let_279 _let_275 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_214 _let_213 _let_212 _let_211 _let_209 _let_208 _let_207 :args (_let_25 false _let_203 false _let_202 false _let_201 false _let_200 false _let_199 false _let_198 false _let_197 false _let_196 false _let_195 false _let_194 false _let_193 false _let_191 false _let_189 false _let_188 false _let_184 false _let_182 false _let_181 false _let_179 false _let_177 false _let_176 false _let_175 false _let_174 false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_166 false _let_165 false _let_164 false _let_162 false _let_160 false _let_159 false _let_158 false _let_157 false _let_155 false _let_153 false _let_151 false _let_149 false _let_145 false _let_144 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_133 false _let_131 false _let_130 false _let_129 false _let_128 false _let_127 false _let_126 false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_119 false _let_118 false _let_117 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_103 false _let_102 false _let_100 false _let_96 false _let_95 false _let_93 false _let_92 false _let_90 false _let_87 false _let_86 false _let_84 false _let_82 false _let_81 false _let_79 false _let_76 false _let_75 false _let_73 false _let_71 false _let_69 false _let_67 false _let_66 false _let_63 false _let_58 false _let_57 false _let_56 false _let_53 false _let_50 false _let_48 false _let_46 false _let_43 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_971 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_970 (SCOPE (TRUE_ELIM (TRANS (CONG _let_408 (TRANS _let_873 _let_969 _let_968 _let_891 _let_893 _let_967 (CONG _let_924 (TRANS _let_566 _let_563 _let_690 (SYMM _let_695) _let_696 (SYMM _let_942) _let_943 (SYMM _let_946) _let_947 (SYMM _let_950) _let_952 (SYMM _let_954) (SYMM _let_958) (SYMM _let_959) (SYMM _let_960)) :args _let_692) _let_966 _let_927 _let_965 _let_964 _let_935 _let_963 _let_962 _let_814 _let_793 _let_790 _let_788) :args _let_689) _let_961 _let_688)) :args _let_686)) :args _let_685)) :args _let_684) :args ((or _let_26 _let_401 _let_559 _let_682 _let_681 _let_680 _let_679 _let_678 _let_677 _let_676 _let_675 _let_674 _let_673 _let_672 _let_671 _let_670 _let_669 _let_668 _let_667 _let_666 _let_499 _let_492 _let_558 _let_400 _let_665 _let_664 _let_663 _let_662 _let_661 _let_660 _let_659 _let_658 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_645 _let_644 _let_643 _let_642 _let_641 _let_399 _let_640 _let_639 _let_638 _let_637 _let_636 _let_350 _let_635 _let_634 _let_444 _let_633 _let_632 _let_631 _let_630 _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_601 _let_600 _let_599 _let_598 _let_597 _let_596 _let_595 _let_594 _let_593 _let_592 _let_591 _let_590 _let_589 _let_588 _let_587 _let_586))) _let_398 _let_557 _let_585 _let_584 _let_583 _let_542 _let_581 _let_580 _let_579 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 _let_571 _let_570 _let_569 _let_498 _let_491 _let_556 _let_397 _let_568 _let_543 _let_532 _let_531 _let_530 _let_529 _let_528 _let_527 _let_526 _let_525 _let_524 _let_523 _let_522 _let_521 _let_520 _let_519 _let_518 _let_517 _let_516 _let_515 _let_512 _let_511 _let_510 _let_509 _let_508 _let_391 _let_507 _let_506 _let_505 _let_504 _let_503 _let_336 _let_500 _let_471 _let_443 _let_470 _let_464 _let_463 _let_462 _let_461 _let_460 _let_459 _let_458 _let_457 _let_453 _let_452 _let_447 _let_446 _let_445 _let_439 _let_381 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_285 _let_281 _let_280 _let_279 _let_275 _let_223 _let_222 _let_221 _let_220 _let_219 _let_218 _let_214 _let_213 _let_212 _let_211 _let_209 _let_208 _let_207 :args (_let_26 false _let_203 false _let_202 false _let_201 false _let_200 false _let_199 false _let_198 false _let_197 false _let_196 false _let_195 false _let_194 false _let_193 false _let_191 false _let_189 false _let_188 false _let_184 false _let_182 false _let_181 false _let_179 false _let_177 false _let_176 false _let_175 false _let_174 false _let_172 false _let_171 false _let_170 false _let_169 false _let_168 false _let_166 false _let_165 false _let_164 false _let_162 false _let_160 false _let_159 false _let_158 false _let_157 false _let_155 false _let_153 false _let_151 false _let_149 false _let_145 false _let_144 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_133 false _let_131 false _let_130 false _let_129 false _let_128 false _let_127 false _let_126 false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_119 false _let_118 false _let_117 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_103 false _let_102 false _let_100 false _let_96 false _let_95 false _let_93 false _let_92 false _let_90 false _let_87 false _let_86 false _let_84 false _let_82 false _let_81 false _let_79 false _let_76 false _let_75 false _let_73 false _let_71 false _let_69 false _let_67 false _let_66 false _let_63 false _let_58 false _let_57 false _let_56 false _let_53 false _let_50 false _let_48 false _let_46 false _let_43 false _let_40)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 2)) _let_38 :args ((not _let_27) true _let_32)) :args (false false _let_25 false _let_26 true _let_27)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.44/5.61  )
% 5.44/5.61  % SZS output end Proof for KLE011+2
% 5.44/5.61  % cvc5---1.0.5 exiting
% 5.44/5.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------