TSTP Solution File: NUM629+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 10:45:49 EDT 2023
% Result : Theorem 26.05s 26.31s
% Output : Proof 26.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 09:36:05 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 26.05/26.31 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qnhHQVselj/cvc5---1.0.5_24842.p...
% 26.05/26.31 ------- get file name : TPTP file name is NUM629+3
% 26.05/26.31 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24842.smt2...
% 26.05/26.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 26.05/26.31 --- Run --no-e-matching --full-saturate-quant at 5...
% 26.05/26.31 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 26.05/26.31 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 26.05/26.31 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 26.05/26.31 % SZS status Theorem for NUM629+3
% 26.05/26.31 % SZS output start Proof for NUM629+3
% 26.05/26.31 (
% 26.05/26.31 (let ((_let_1 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xD tptp.xk)))) (let ((_let_2 (tptp.aSubsetOf0 tptp.xP tptp.xD))) (let ((_let_3 (not (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.aElementOf0 W0 tptp.xD))) _let_2 _let_1)))) (let ((_let_4 (tptp.sdtlpdtrp0 tptp.xN tptp.xn))) (let ((_let_5 (tptp.szmzizndt0 _let_4))) (let ((_let_6 (tptp.sdtmndt0 _let_4 _let_5))) (let ((_let_7 (and (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xn))) (=> (tptp.aElementOf0 W0 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W0)))) (tptp.aSet0 tptp.xD) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xn))) (= (tptp.aElementOf0 W0 tptp.xD) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 _let_1) (not (= W0 (tptp.szmzizndt0 _let_1))))))) (= tptp.xD _let_6)))) (let ((_let_8 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn)))) (let ((_let_9 (tptp.aSubsetOf0 tptp.xP _let_8))) (let ((_let_10 (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))) _let_9))) (let ((_let_11 (tptp.szDzizrdt0 tptp.xd))) (let ((_let_12 (tptp.sdtlpdtrp0 tptp.xd tptp.xn))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (tptp.sdtlpdtrp0 tptp.xe tptp.xn))) (let ((_let_15 (tptp.aElementOf0 tptp.xn tptp.szNzAzT0))) (let ((_let_16 (tptp.sdtlbdtrb0 tptp.xd _let_11))) (let ((_let_17 (tptp.aElementOf0 tptp.xn _let_16))) (let ((_let_18 (tptp.szDzozmdt0 tptp.xd))) (let ((_let_19 (tptp.aElementOf0 tptp.xn _let_18))) (let ((_let_20 (and _let_19 _let_13 _let_17 _let_15 (= _let_14 tptp.xp)))) (let ((_let_21 (tptp.sbrdtbr0 tptp.xP))) (let ((_let_22 (= _let_21 tptp.xk))) (let ((_let_23 (tptp.aElementOf0 tptp.xp tptp.xQ))) (let ((_let_24 (tptp.szmzizndt0 tptp.xQ))) (let ((_let_25 (tptp.sdtmndt0 tptp.xQ _let_24))) (let ((_let_26 (and (tptp.aSet0 tptp.xP) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.sdtlseqdt0 (tptp.szmzizndt0 tptp.xQ) W0))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 tptp.xP) (and (tptp.aElement0 W0) (tptp.aElementOf0 W0 tptp.xQ) (not (= W0 (tptp.szmzizndt0 tptp.xQ)))))) (= tptp.xP _let_25)))) (let ((_let_27 (and _let_23 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.sdtlseqdt0 tptp.xp W0))) (= tptp.xp _let_24)))) (let ((_let_28 (tptp.szDzozmdt0 tptp.xc))) (let ((_let_29 (tptp.aSubsetOf0 tptp.xQ tptp.xS))) (let ((_let_30 (tptp.aSet0 tptp.xO))) (let ((_let_31 (tptp.aSet0 _let_16))) (let ((_let_32 (and _let_30 _let_31 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szDzizrdt0 tptp.xd))) (= (tptp.aElementOf0 W0 (tptp.sdtlbdtrb0 tptp.xd _let_1)) (and (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xd)) (= (tptp.sdtlpdtrp0 tptp.xd W0) _let_1))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 tptp.xO) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.sdtlbdtrb0 tptp.xd (tptp.szDzizrdt0 tptp.xd))) (= (tptp.sdtlpdtrp0 tptp.xe W1) W0))))) (= tptp.xO (tptp.sdtlcdtrc0 tptp.xe _let_16))))) (let ((_let_33 (tptp.sdtlcdtrc0 tptp.xd _let_18))) (let ((_let_34 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aSet0 _let_1) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W1 tptp.szNzAzT0))) (tptp.aSubsetOf0 _let_1 tptp.szNzAzT0) (tptp.isCountable0 _let_1))))))) (let ((_let_35 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))) (let ((_let_36 (tptp.szDzozmdt0 tptp.xN))) (let ((_let_37 (tptp.aFunction0 tptp.xN))) (let ((_let_38 (and _let_37 (= _let_36 tptp.szNzAzT0) (= _let_35 tptp.xS) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_3 (tptp.szmzizndt0 _let_2))) (let ((_let_4 (tptp.sdtmndt0 _let_2 _let_3))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (=> (and (or (and (tptp.aSet0 _let_2) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W1 tptp.szNzAzT0)))) (tptp.aSubsetOf0 _let_2 tptp.szNzAzT0)) (tptp.isCountable0 _let_2)) (and (tptp.aElementOf0 _let_3 _let_2) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W1 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W1)))) (tptp.aSet0 _let_4) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W1) (tptp.aElementOf0 W1 _let_1) (not (= W1 _let_2))))))) (tptp.aSet0 _let_1) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))) (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 _let_1 _let_4) (tptp.isCountable0 _let_1)))))))))))) (let ((_let_39 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK)))) (let ((_let_40 (not (= tptp.xK tptp.sz00)))) (let ((_let_41 (tptp.sdtlcdtrc0 tptp.xc _let_28))) (let ((_let_42 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))) (let ((_let_43 (tptp.aElementOf0 tptp.xn _let_36))) (let ((_let_44 (tptp.isCountable0 _let_4))) (let ((_let_45 (tptp.aSubsetOf0 _let_4 _let_36))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.aSet0 _let_4))) (let ((_let_48 (and (or (not _let_47) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN tptp.xn))) (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xN)))))) _let_46))) (let ((_let_49 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_50 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_8))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.aElementOf0 tptp.sz00 _let_4))) (let ((_let_54 (and (tptp.aElementOf0 _let_5 _let_4) (or (not _let_53) (tptp.sdtlseqdt0 _let_5 tptp.sz00)) (tptp.aSet0 _let_6) (= (tptp.aElementOf0 tptp.sz00 _let_6) (and (tptp.aElement0 tptp.sz00) _let_53 (not (= tptp.sz00 _let_5)))) (tptp.aSet0 _let_8) _let_52 (tptp.aSubsetOf0 _let_8 _let_6) (tptp.isCountable0 _let_8)))) (let ((_let_55 (not _let_44))) (let ((_let_56 (not _let_43))) (let ((_let_57 (or _let_56 _let_48 _let_55 _let_54))) (let ((_let_58 (3))) (let ((_let_59 (SYMM (ASSUME :args (_let_42))))) (let ((_let_60 (1))) (let ((_let_61 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args _let_60))) (let ((_let_62 (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_63 (ASSUME :args (_let_38)))) (let ((_let_64 (EQ_RESOLVE _let_63 _let_62))) (let ((_let_65 (AND_ELIM _let_64 :args _let_60))) (let ((_let_66 (2))) (let ((_let_67 (AND_ELIM _let_64 :args _let_66))) (let ((_let_68 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args (4)))) (let ((_let_69 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args _let_66))) (let ((_let_70 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args _let_58))) (let ((_let_71 (AND_INTRO (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args _let_58) (EQ_RESOLVE (SYMM (ASSUME :args (_let_22))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_70 _let_69 _let_68 _let_67 _let_65 _let_61 _let_59) :args ((= tptp.xk _let_21) SB_DEFAULT SBA_FIXPOINT))) _let_70 _let_69 _let_68 _let_67 _let_65 _let_61 _let_59))) (let ((_let_72 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_20)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_71 :args ((and _let_19 (= _let_11 _let_12) _let_17 _let_15 (= tptp.xp _let_14)) SB_DEFAULT SBA_FIXPOINT)))) :args _let_58))) (let ((_let_73 (tptp.sbrdtbr0 _let_25))) (let ((_let_74 (and _let_47 (or (not (tptp.aElementOf0 _let_73 _let_4)) (tptp.aElementOf0 _let_73 _let_36)) _let_45 _let_44))) (let ((_let_75 (or _let_56 _let_74))) (let ((_let_76 (forall ((W0 $$unsorted) (BOUND_VARIABLE_4482 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szDzozmdt0 tptp.xN))) (or (not (tptp.aElementOf0 W0 _let_2)) (and (tptp.aSet0 _let_1) (or (not (tptp.aElementOf0 BOUND_VARIABLE_4482 _let_1)) (tptp.aElementOf0 BOUND_VARIABLE_4482 _let_2)) (tptp.aSubsetOf0 _let_1 _let_2) (tptp.isCountable0 _let_1)))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_34)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (AND_INTRO _let_67 _let_65 _let_61 _let_59) :args ((forall ((W0 $$unsorted) (BOUND_VARIABLE_4482 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (and (tptp.aSet0 _let_1) (or (not (tptp.aElementOf0 BOUND_VARIABLE_4482 _let_1)) (tptp.aElementOf0 BOUND_VARIABLE_4482 tptp.szNzAzT0)) (tptp.aSubsetOf0 _let_1 tptp.szNzAzT0) (tptp.isCountable0 _let_1))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_56 _let_74 (not _let_75)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.xn _let_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.aElementOf0 W0 _let_36) false)) (tptp.aElementOf0 BOUND_VARIABLE_4482 _let_36)))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_74 false _let_43 false _let_75)))) (let ((_let_79 (not _let_74))) (let ((_let_80 (not _let_48))) (let ((_let_81 (forall ((W0 $$unsorted) (BOUND_VARIABLE_4461 $$unsorted) (BOUND_VARIABLE_4452 $$unsorted) (BOUND_VARIABLE_4446 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_3 (tptp.szmzizndt0 _let_2))) (let ((_let_4 (tptp.sdtmndt0 _let_2 _let_3))) (let ((_let_5 (tptp.szDzozmdt0 tptp.xN))) (or (not (tptp.aElementOf0 W0 _let_5)) (and (or (not (tptp.aSet0 _let_2)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0))) (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xN)))))) (not (tptp.aSubsetOf0 _let_2 _let_5))) (not (tptp.isCountable0 _let_2)) (and (tptp.aElementOf0 _let_3 _let_2) (or (not (tptp.aElementOf0 BOUND_VARIABLE_4446 _let_2)) (tptp.sdtlseqdt0 _let_3 BOUND_VARIABLE_4446)) (tptp.aSet0 _let_4) (= (tptp.aElementOf0 BOUND_VARIABLE_4452 _let_4) (and (tptp.aElement0 BOUND_VARIABLE_4452) (tptp.aElementOf0 BOUND_VARIABLE_4452 _let_2) (not (= _let_3 BOUND_VARIABLE_4452)))) (tptp.aSet0 _let_1) (or (not (tptp.aElementOf0 BOUND_VARIABLE_4461 _let_1)) (tptp.aElementOf0 BOUND_VARIABLE_4461 _let_4)) (tptp.aSubsetOf0 _let_1 _let_4) (tptp.isCountable0 _let_1))))))))))) (let ((_let_82 (_let_81))) (let ((_let_83 (not _let_54))) (let ((_let_84 (not _let_52))) (let ((_let_85 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_50))) (let ((_let_88 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtmndt0 tptp.xQ (tptp.szmzizndt0 tptp.xQ)))) (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))))) (let ((_let_89 (0))) (let ((_let_90 (_let_88))) (let ((_let_91 (or _let_86 _let_49))) (let ((_let_92 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xn))) (or (not (tptp.aElementOf0 W0 (tptp.sdtmndt0 tptp.xQ (tptp.szmzizndt0 tptp.xQ)))) (tptp.aElementOf0 W0 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))))) (let ((_let_93 (not _let_91))) (let ((_let_94 (or))) (let ((_let_95 (not _let_92))) (let ((_let_96 (_let_95))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_96)) :args _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_92))) (REFL :args (_let_93)) :args _let_94)) (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_71 :args ((not (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xP)) (tptp.aElementOf0 W0 tptp.xD))) _let_2 _let_1)) SB_DEFAULT SBA_FIXPOINT)))) :args _let_89) :args (_let_93 true _let_92)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_55 _let_48 _let_54 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 5)) :args ((or _let_52 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_49 _let_51 _let_84))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_91 1)) _let_97 :args ((not _let_49) true _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_50 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_91 0)) (CONG (REFL :args (_let_91)) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) :args _let_94)) :args ((or _let_85 _let_91))) _let_97 :args (_let_85 true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W0 _let_25) false))))) :args _let_90)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_71 :args ((and (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xP)) (tptp.aElementOf0 W0 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 tptp.xn))))) _let_9) SB_DEFAULT SBA_FIXPOINT)))) :args _let_89) :args (_let_87 false _let_88)) :args (_let_50 false _let_85 false _let_87)) :args (_let_84 true _let_49 false _let_50)) :args (_let_83 true _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args (tptp.xn SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sz00 tptp.sz00 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_82))) (AND_ELIM (EQ_RESOLVE _let_63 (TRANS _let_62 (MACRO_SR_EQ_INTRO _let_71 :args ((and _let_37 (= tptp.szNzAzT0 _let_36) (= tptp.xS _let_35) (forall ((W0 $$unsorted) (BOUND_VARIABLE_4461 $$unsorted) (BOUND_VARIABLE_4452 $$unsorted) (BOUND_VARIABLE_4446 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_3 (tptp.szmzizndt0 _let_2))) (let ((_let_4 (tptp.sdtmndt0 _let_2 _let_3))) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (and (or (not (tptp.aSet0 _let_2)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0))) (tptp.aElementOf0 W1 tptp.szNzAzT0))))) (not (tptp.aSubsetOf0 _let_2 tptp.szNzAzT0))) (not (tptp.isCountable0 _let_2)) (and (tptp.aElementOf0 _let_3 _let_2) (or (not (tptp.aElementOf0 BOUND_VARIABLE_4446 _let_2)) (tptp.sdtlseqdt0 _let_3 BOUND_VARIABLE_4446)) (tptp.aSet0 _let_4) (= (tptp.aElementOf0 BOUND_VARIABLE_4452 _let_4) (and (tptp.aElement0 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$$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))) (forall ((W0 $$unsorted)) (= (= W0 tptp.slcrc0) (and (tptp.aSet0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (tptp.isFinite0 tptp.slcrc0) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1) (tptp.aSet0 W2)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W2)) (tptp.aSubsetOf0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtpldt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W3 W1)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W3 W1)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (= (tptp.sdtpldt0 (tptp.sdtmndt0 W0 W1) W1) W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aSet0 W1)) (=> (not (tptp.aElementOf0 W0 W1)) (= (tptp.sdtmndt0 (tptp.sdtpldt0 W1 W0) W0) W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isCountable0 W1)) (tptp.isCountable0 (tptp.sdtpldt0 W1 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isCountable0 W1)) (tptp.isCountable0 (tptp.sdtmndt0 W1 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isFinite0 W1)) (tptp.isFinite0 (tptp.sdtpldt0 W1 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSet0 W1) (tptp.isFinite0 W1)) (tptp.isFinite0 (tptp.sdtmndt0 W1 W0)))))) (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0)) (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szszuzczcdt0 W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aElementOf0 _let_1 tptp.szNzAzT0) (not (= _let_1 tptp.sz00)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (= (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1)) (= W0 W1)))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (or (= W0 tptp.sz00) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (= W0 (tptp.szszuzczcdt0 W1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (not (= W0 (tptp.szszuzczcdt0 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.sdtlseqdt0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 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(tptp.sbrdtbr0 (tptp.sdtpldt0 W0 W1)) (tptp.szszuzczcdt0 (tptp.sbrdtbr0 W0)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.isFinite0 W0) (tptp.aElementOf0 W1 W0)) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 (tptp.sdtmndt0 W0 W1))) (tptp.sbrdtbr0 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.isFinite0 W0) (tptp.aSubsetOf0 W1 W0)) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 W1) (tptp.sbrdtbr0 W0)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (and (tptp.isFinite0 W0) (tptp.sdtlseqdt0 W1 (tptp.sbrdtbr0 W0))) (exists ((W2 $$unsorted)) (and (tptp.aSubsetOf0 W2 W0) (= (tptp.sbrdtbr0 W2) W1)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (not (= W0 tptp.slcrc0))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.szmzizndt0 W0)) (and (tptp.aElementOf0 W1 W0) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W1 W2)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 W0) (not (= W0 tptp.slcrc0))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.szmzazxdt0 W0)) (and (tptp.aElementOf0 W1 W0) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W2 W1)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 W1))) (let ((_let_2 (tptp.szmzizndt0 W0))) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.aSubsetOf0 W1 tptp.szNzAzT0) (not (= W0 tptp.slcrc0)) (not (= W1 tptp.slcrc0))) (=> (and (tptp.aElementOf0 _let_2 W1) (tptp.aElementOf0 _let_1 W0)) (= _let_2 _let_1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (= (= W1 (tptp.slbdtrb0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aElementOf0 W2 tptp.szNzAzT0) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W2) W0))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 (tptp.slbdtrb0 W0)))) _let_42 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.aElementOf0 W0 (tptp.slbdtrb0 (tptp.szszuzczcdt0 W1))) (or (tptp.aElementOf0 W0 (tptp.slbdtrb0 W1)) (= W0 W1))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.sdtlseqdt0 W0 W1) (tptp.aSubsetOf0 (tptp.slbdtrb0 W0) (tptp.slbdtrb0 W1))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.szNzAzT0) (tptp.isFinite0 W0)) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.aSubsetOf0 W0 (tptp.slbdtrb0 W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (= (tptp.sbrdtbr0 (tptp.slbdtrb0 W0)) W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.slbdtsldtrb0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aSubsetOf0 W3 W0) (= (tptp.sbrdtbr0 W3) W1))))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.isFinite0 (tptp.slbdtsldtrb0 W0 W1)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (not (tptp.isFinite0 W0))) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= (tptp.slbdtsldtrb0 W0 W1) tptp.slcrc0)))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (forall ((W1 $$unsorted)) (=> (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= W1 tptp.sz00))) (tptp.isCountable0 (tptp.slbdtsldtrb0 W0 W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.slbdtsldtrb0 W1 W0))) (=> (and (tptp.aSet0 W1) (tptp.aSet0 W2) (not (= W0 tptp.sz00))) (=> (and (tptp.aSubsetOf0 _let_1 (tptp.slbdtsldtrb0 W2 W0)) (not (= _let_1 tptp.slcrc0))) (tptp.aSubsetOf0 W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (forall ((W2 $$unsorted)) (=> (and (tptp.aSubsetOf0 W2 (tptp.slbdtsldtrb0 W0 W1)) (tptp.isFinite0 W2)) (exists ((W3 $$unsorted)) (and (tptp.aSubsetOf0 W3 W0) (tptp.isFinite0 W3) (tptp.aSubsetOf0 W2 (tptp.slbdtsldtrb0 W3 W1)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (tptp.aSet0 (tptp.szDzozmdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.aElement0 (tptp.sdtlpdtrp0 W0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aFunction0 W0) (tptp.aElement0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtlbdtrb0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W0)) (= (tptp.sdtlpdtrp0 W0 W3) W1))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aFunction0 W0) (tptp.aElement0 W1)) (tptp.aSubsetOf0 (tptp.sdtlbdtrb0 W0 W1) (tptp.szDzozmdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtlcdtrc0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (exists ((W4 $$unsorted)) (and (tptp.aElementOf0 W4 W1) (= (tptp.sdtlpdtrp0 W0 W4) W3)))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 W0))) (=> (tptp.aElementOf0 W1 _let_1) (tptp.aElementOf0 (tptp.sdtlpdtrp0 W0 W1) (tptp.sdtlcdtrc0 W0 _let_1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtexdt0 W0 W1)) (and (tptp.aFunction0 W2) (= (tptp.szDzozmdt0 W2) W1) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (= (tptp.sdtlpdtrp0 W2 W3) (tptp.sdtlpdtrp0 W0 W3))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.isCountable0 W1)) (=> (forall ((W2 $$unsorted) (W3 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 W0))) (=> (and (tptp.aElementOf0 W2 _let_1) (tptp.aElementOf0 W3 _let_1) (not (= W2 W3))) (not (= (tptp.sdtlpdtrp0 W0 W2) (tptp.sdtlpdtrp0 W0 W3)))))) (tptp.isCountable0 (tptp.sdtlcdtrc0 W0 W1))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szDzizrdt0 W0))) (let ((_let_2 (tptp.szDzozmdt0 W0))) (=> (tptp.aFunction0 W0) (=> (and (tptp.isCountable0 _let_2) (tptp.isFinite0 (tptp.sdtlcdtrc0 W0 _let_2))) (and (tptp.aElement0 _let_1) (tptp.isCountable0 (tptp.sdtlbdtrb0 W0 _let_1)))))))) (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT)) (tptp.aElementOf0 tptp.xK tptp.szNzAzT0) (and (tptp.aSet0 tptp.xS) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.aElementOf0 W0 tptp.szNzAzT0))) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)) (and (tptp.aFunction0 tptp.xc) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xc)))) (let ((_let_2 (= (tptp.sbrdtbr0 W0) tptp.xK))) (let ((_let_3 (tptp.aSubsetOf0 W0 tptp.xS))) (let ((_let_4 (tptp.aSet0 W0))) (and (=> _let_1 (and _let_4 (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 tptp.xS))) _let_3 _let_2)) (=> (and (or (and _let_4 (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 tptp.xS)))) _let_3) _let_2) _let_1))))))) (= _let_28 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSet0 _let_41) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xc)) (= (tptp.sdtlpdtrp0 tptp.xc W1) W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (tptp.aElementOf0 W0 tptp.xT))) (tptp.aSubsetOf0 _let_41 tptp.xT)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (=> (and (or (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 tptp.szNzAzT0)))) (tptp.aSubsetOf0 W1 tptp.szNzAzT0)) (tptp.isCountable0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 W2))) (let ((_let_2 (tptp.sdtlcdtrc0 W2 _let_1))) (=> (and (tptp.aFunction0 W2) (or (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W3 (tptp.szDzozmdt0 W2)))) (let ((_let_2 (= (tptp.sbrdtbr0 W3) W0))) (let ((_let_3 (tptp.aSubsetOf0 W3 W1))) (let ((_let_4 (tptp.aSet0 W3))) (and (=> _let_1 (and (or (and _let_4 (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W3) (tptp.aElementOf0 W4 W1)))) _let_3) _let_2)) (=> (and _let_4 (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W3) (tptp.aElementOf0 W4 W1))) _let_3 _let_2) _let_1))))))) (= _let_1 (tptp.slbdtsldtrb0 W1 W0))) (=> (and (tptp.aSet0 _let_2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2))) (exists ((W4 $$unsorted)) (and (tptp.aElementOf0 W4 (tptp.szDzozmdt0 W2)) (= (tptp.sdtlpdtrp0 W2 W4) W3)))))) (or (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 (tptp.sdtlcdtrc0 W2 (tptp.szDzozmdt0 W2))) (tptp.aElementOf0 W3 tptp.xT))) (tptp.aSubsetOf0 _let_2 tptp.xT)))) (=> (tptp.iLess0 W0 tptp.xK) (exists ((W3 $$unsorted)) (and (tptp.aElementOf0 W3 tptp.xT) (exists ((W4 $$unsorted)) (and (tptp.aSet0 W4) (forall ((W5 $$unsorted)) (=> (tptp.aElementOf0 W5 W4) (tptp.aElementOf0 W5 W1))) (tptp.aSubsetOf0 W4 W1) (tptp.isCountable0 W4) (forall ((W5 $$unsorted)) (=> (or (and (or (and (tptp.aSet0 W5) (forall ((W6 $$unsorted)) (=> (tptp.aElementOf0 W6 W5) (tptp.aElementOf0 W6 W4)))) (tptp.aSubsetOf0 W5 W4)) (= (tptp.sbrdtbr0 W5) W0)) (tptp.aElementOf0 W5 (tptp.slbdtsldtrb0 W4 W0))) (= (tptp.sdtlpdtrp0 W2 W5) W3)))))))))))))))) _let_40 _let_40 _let_39 _let_38 _let_34 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.sdtlseqdt0 W1 W0) (and (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W1)))) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.sdtlpdtrp0 tptp.xN W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W1))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_3 (tptp.szmzizndt0 _let_2))) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= W0 W1))) (not (=> (and (tptp.aElementOf0 _let_3 _let_2) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2))))) (or (and (tptp.aElementOf0 _let_3 _let_1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN W1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) W2)))) (= _let_3 (tptp.szmzizndt0 _let_1)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtpldt0 W1 _let_2))) (let ((_let_4 (tptp.aElementOf0 _let_2 _let_1))) (let ((_let_5 (tptp.sdtmndt0 _let_1 _let_2))) (=> (and (tptp.aSet0 W1) (=> (and _let_4 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2))))) (=> (and (tptp.aSet0 _let_5) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= W2 _let_2)))))))) (or (and (or (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 W1 _let_5)) (= (tptp.sbrdtbr0 W1) tptp.xk)) (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_5 tptp.xk)))))) (and _let_4 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_3) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 W1) (= W2 _let_1)))))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (tptp.aElementOf0 W2 tptp.xS))) (tptp.aSubsetOf0 _let_3 tptp.xS) (= (tptp.sbrdtbr0 _let_3) tptp.xK) (tptp.aElementOf0 _let_3 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))))))))))) (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtmndt0 _let_1 _let_2))) (let ((_let_4 (tptp.sdtlpdtrp0 tptp.xC W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aFunction0 _let_4) (tptp.aElementOf0 _let_2 _let_1) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W1 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W1)))) (tptp.aSet0 _let_3) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W1) (tptp.aElementOf0 W1 _let_1) (not (= W1 _let_2))))))) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W1 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC W0))))) (let ((_let_2 (= (tptp.sbrdtbr0 W1) tptp.xk))) (let ((_let_3 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_4 (tptp.aSubsetOf0 W1 (tptp.sdtmndt0 _let_3 (tptp.szmzizndt0 _let_3))))) (let ((_let_5 (tptp.aSet0 W1))) (and (=> _let_1 (and _let_5 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) _let_4 _let_2)) (=> (and (or (and _let_5 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) _let_4) _let_2) _let_1)))))))) (= (tptp.szDzozmdt0 _let_4) (tptp.slbdtsldtrb0 _let_3 tptp.xk)) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.aElementOf0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtmndt0 _let_1 _let_2))) (=> (and (tptp.aSet0 W1) (=> (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2))))) (=> (and (tptp.aSet0 _let_4) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= W2 _let_2)))))))) (or (and (or (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 W1 _let_4)) (= (tptp.sbrdtbr0 W1) tptp.xk)) (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_4 tptp.xk)))))) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 W1) (= W2 _let_1)))))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W1) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 W1 _let_2)))))))))))))))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (let ((_let_2 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aSet0 _let_2) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (= (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1))) (exists ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (and (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1)) (= (tptp.sdtlpdtrp0 _let_1 W2) W1))))))) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (=> (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1))) (tptp.aElementOf0 W1 tptp.xT)))) (tptp.aSubsetOf0 _let_2 tptp.xT)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtmndt0 _let_1 _let_2))) (=> (and (=> (and (tptp.aElementOf0 _let_2 _let_1) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2))))) (=> (and (tptp.aSet0 _let_3) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= W2 _let_2)))))))) (or (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) (tptp.aSubsetOf0 W1 _let_3)))) (tptp.isCountable0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtmndt0 _let_1 _let_2))) (=> (and (tptp.aSet0 W2) (or (and (or (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W2) (tptp.aElementOf0 W3 W1))) (tptp.aSubsetOf0 W2 W1)) (= (tptp.sbrdtbr0 W2) tptp.xk)) (tptp.aElementOf0 W2 (tptp.slbdtsldtrb0 W1 tptp.xk)))) (and (tptp.aElementOf0 _let_2 _let_1) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W3 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W3)))) (tptp.aSet0 _let_3) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W3 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 _let_1) (not (= W3 _let_2))))))) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W3 W2) (tptp.aElementOf0 W3 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 W2 _let_3) (tptp.aElementOf0 W2 (tptp.slbdtsldtrb0 _let_3 tptp.xk))))))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xT) (exists ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtmndt0 _let_1 _let_2))) (and (tptp.aElementOf0 _let_2 _let_1) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W3 _let_1) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W3)))) (tptp.aSet0 _let_3) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W3 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 _let_1) (not (= W3 _let_2))))))) (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W3 W2) (tptp.aElementOf0 W3 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 W2 _let_3) (tptp.isCountable0 W2) (forall ((W3 $$unsorted)) (=> (and (tptp.aSet0 W3) (or (and (or (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W3) (tptp.aElementOf0 W4 W2))) (tptp.aSubsetOf0 W3 W2)) (= (tptp.sbrdtbr0 W3) tptp.xk)) (tptp.aElementOf0 W3 (tptp.slbdtsldtrb0 W2 tptp.xk)))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W3) W1)))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xT) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (=> (and (tptp.aSet0 W2) (or (and (or (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W2) (tptp.aElementOf0 W3 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))))) (tptp.aSubsetOf0 W2 _let_1)) (= (tptp.sbrdtbr0 W2) tptp.xk)) (tptp.aElementOf0 W2 (tptp.slbdtsldtrb0 _let_1 tptp.xk)))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W2) W1)))))))) (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xe W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aElementOf0 _let_2 _let_1) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xe W0) W1))) (= _let_2 (tptp.szmzizndt0 _let_1)))))))) (and (tptp.aFunction0 tptp.xd) (= _let_18 tptp.szNzAzT0) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (=> (and (tptp.aSet0 W1) (or (and (or (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))))) (tptp.aSubsetOf0 W1 _let_1)) (= (tptp.sbrdtbr0 W1) tptp.xk)) (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_1 tptp.xk)))) (= (tptp.sdtlpdtrp0 tptp.xd W0) (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W1)))))))) (and (tptp.aSet0 _let_33) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xd (tptp.szDzozmdt0 tptp.xd))) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xd)) (= (tptp.sdtlpdtrp0 tptp.xd W1) W0))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xd (tptp.szDzozmdt0 tptp.xd))) (tptp.aElementOf0 W0 tptp.xT))) (tptp.aSubsetOf0 _let_33 tptp.xT)) (and (tptp.aElementOf0 _let_11 tptp.xT) _let_31 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szDzizrdt0 tptp.xd))) (= (tptp.aElementOf0 W0 (tptp.sdtlbdtrb0 tptp.xd _let_1)) (and (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xd)) (= (tptp.sdtlpdtrp0 tptp.xd W0) _let_1)))))) _let_32 (and _let_30 (tptp.isCountable0 tptp.xO)) (forall ((W0 $$unsorted)) (=> (or (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 (tptp.sdtlbdtrb0 tptp.xd (tptp.szDzizrdt0 tptp.xd))) (= (tptp.sdtlpdtrp0 tptp.xe W1) W0))) (tptp.aElementOf0 W0 tptp.xO)) (exists ((W1 $$unsorted)) (let ((_let_1 (tptp.szDzizrdt0 tptp.xd))) (and (tptp.aElementOf0 W1 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xd W1) _let_1) (tptp.aElementOf0 W1 (tptp.sdtlbdtrb0 tptp.xd _let_1)) (= (tptp.sdtlpdtrp0 tptp.xe W1) W0)))))) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xO) (tptp.aElementOf0 W0 tptp.xS))) (tptp.aSubsetOf0 tptp.xO tptp.xS)) (and (tptp.aSet0 tptp.xQ) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xO))) (tptp.aSubsetOf0 tptp.xQ tptp.xO) (= (tptp.sbrdtbr0 tptp.xQ) tptp.xK) (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK))) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xO))) (not (or (not (exists ((W0 $$unsorted)) (tptp.aElementOf0 W0 tptp.xQ))) (= tptp.xQ tptp.slcrc0)))) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.szNzAzT0))) (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0)) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xS))) _let_29 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xQ) (tptp.aElementOf0 W0 tptp.xS))) _let_29 (tptp.aElementOf0 tptp.xQ _let_28)) _let_27 _let_26 _let_23 (exists ((W0 $$unsorted)) (and (tptp.aElementOf0 W0 (tptp.sdtlbdtrb0 tptp.xd (tptp.szDzizrdt0 tptp.xd))) (= (tptp.sdtlpdtrp0 tptp.xe W0) tptp.xp))) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.aElementOf0 W0 tptp.xQ))) (tptp.aSubsetOf0 tptp.xP tptp.xQ)) (and (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.aElementOf0 W0 tptp.xO))) (tptp.aSubsetOf0 tptp.xP tptp.xO)) _let_22 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk)) _let_20 _let_13 _let_10 _let_7 _let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 26.05/26.31 )
% 26.05/26.31 % SZS output end Proof for NUM629+3
% 26.05/26.31 % cvc5---1.0.5 exiting
% 26.05/26.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------