TSTP Solution File: NUM581+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM581+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 10:45:19 EDT 2023
% Result : Theorem 194.36s 194.63s
% Output : Proof 194.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM581+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 16:38:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 194.36/194.63 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lvF7nyyRMp/cvc5---1.0.5_4720.p...
% 194.36/194.63 ------- get file name : TPTP file name is NUM581+1
% 194.36/194.63 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4720.smt2...
% 194.36/194.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 194.36/194.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 194.36/194.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 194.36/194.63 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 194.36/194.63 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 194.36/194.63 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 194.36/194.63 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 194.36/194.63 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 194.36/194.63 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 194.36/194.63 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 194.36/194.63 --- Run --relevant-triggers --full-saturate-quant at 5...
% 194.36/194.63 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 194.36/194.63 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 194.36/194.63 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 194.36/194.63 --- Run --no-cbqi --full-saturate-quant at 10...
% 194.36/194.63 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 194.36/194.63 % SZS status Theorem for NUM581+1
% 194.36/194.63 % SZS output start Proof for NUM581+1
% 194.36/194.63 (
% 194.36/194.63 (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtpldt0 tptp.xQ _let_2))) (let ((_let_4 (not (tptp.aSubsetOf0 _let_3 tptp.xS)))) (let ((_let_5 (tptp.sdtmndt0 _let_1 _let_2))) (let ((_let_6 (tptp.slbdtsldtrb0 _let_5 tptp.xk))) (let ((_let_7 (tptp.aElementOf0 tptp.xQ _let_6))) (let ((_let_8 (tptp.aElementOf0 tptp.xi tptp.szNzAzT0))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.sdtlseqdt0 W1 W0) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.sdtlpdtrp0 tptp.xN W1))))))) (let ((_let_10 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (and (tptp.aSubsetOf0 _let_1 tptp.szNzAzT0) (tptp.isCountable0 _let_1))))))) (let ((_let_11 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))) (let ((_let_12 (tptp.szDzozmdt0 tptp.xN))) (let ((_let_13 (and (tptp.aFunction0 tptp.xN) (= _let_12 tptp.szNzAzT0) (= _let_11 tptp.xS) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0)))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (=> (and (tptp.aSubsetOf0 _let_2 tptp.szNzAzT0) (tptp.isCountable0 _let_2)) (and (tptp.aSubsetOf0 _let_1 (tptp.sdtmndt0 _let_2 (tptp.szmzizndt0 _let_2))) (tptp.isCountable0 _let_1)))))))))) (let ((_let_14 (tptp.szszuzczcdt0 tptp.xk))) (let ((_let_15 (tptp.aElementOf0 tptp.xk tptp.szNzAzT0))) (let ((_let_16 (and _let_15 (= _let_14 tptp.xK)))) (let ((_let_17 (not (= tptp.xK tptp.sz00)))) (let ((_let_18 (tptp.szDzozmdt0 tptp.xc))) (let ((_let_19 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)))) (let ((_let_20 (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))))))))))) (let ((_let_21 (tptp.slbdtrb0 tptp.sz00))) (let ((_let_22 (= _let_21 tptp.slcrc0))) (let ((_let_23 (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 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W1 W2)))))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 tptp.sz00 W0))))) (let ((_let_25 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0))) (let ((_let_26 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0)))) (let ((_let_27 (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)))))))))))) (let ((_let_28 (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)))))))))))) (let ((_let_29 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))))) (let ((_let_30 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))))) (let ((_let_31 (tptp.isFinite0 tptp.slcrc0))) (let ((_let_32 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_33 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)))))) (let ((_let_34 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 _let_11))) (let ((_let_35 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 _let_1))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (tptp.aSet0 _let_1))) (let ((_let_39 (and _let_38 _let_33))) (let ((_let_40 (tptp.aSubsetOf0 _let_1 _let_11))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (tptp.aSet0 _let_11))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_41))) (let ((_let_45 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1790 $$unsorted)) (or (not (tptp.aSet0 W0)) (= (tptp.aSubsetOf0 BOUND_VARIABLE_1790 W0) (and (tptp.aSet0 BOUND_VARIABLE_1790) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_1790)) (tptp.aElementOf0 W2 W0))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 ((tptp.aSubsetOf0 BOUND_VARIABLE_1790 W0)))) (let ((_let_49 (and _let_42 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))) (tptp.aElementOf0 W2 (tptp.szDzozmdt0 tptp.xN))))))) (let ((_let_50 (tptp.aSubsetOf0 _let_11 _let_12))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (tptp.aSet0 _let_12))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (0))) (let ((_let_56 (1))) (let ((_let_57 (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_58 (ASSUME :args (_let_16)))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (AND_INTRO (AND_ELIM _let_59 :args (2)) (AND_ELIM _let_59 :args _let_56) (AND_ELIM (EQ_RESOLVE _let_58 _let_57) :args _let_56) (SYMM (ASSUME :args (_let_22)))))) (let ((_let_61 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args _let_55))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_49 0)) :args ((or _let_42 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or (not _let_50) _let_49 (not _let_51)))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args _let_55) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_51 (not _let_54)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_12 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_54 false _let_45)) :args (_let_51 false _let_52 false _let_54)) :args (_let_49 false _let_50 false _let_51)) :args (_let_42 false _let_49)))) (let ((_let_63 (tptp.sdtlseqdt0 tptp.sz00 tptp.xi))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.aElementOf0 tptp.sz00 _let_12))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.aElementOf0 tptp.xi _let_12))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_64 _let_40))) (let ((_let_70 (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 tptp.xN))) (or (not (tptp.aElementOf0 W0 _let_1)) (not (tptp.aElementOf0 W1 _let_1)) (not (tptp.sdtlseqdt0 W1 W0)) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.sdtlpdtrp0 tptp.xN W1))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (not (tptp.aElementOf0 W1 tptp.szNzAzT0)) (not (tptp.sdtlseqdt0 W1 W0)) (tptp.aSubsetOf0 (tptp.sdtlpdtrp0 tptp.xN W0) (tptp.sdtlpdtrp0 tptp.xN W1)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_72 (or _let_68 _let_63))) (let ((_let_73 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xN))) (tptp.sdtlseqdt0 tptp.sz00 W0))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_24)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (tptp.sdtlseqdt0 tptp.sz00 W0))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_33 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or (not _let_40) _let_39 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_66 _let_68 _let_64 _let_40 (not _let_69)))) (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_68 _let_63 (not _let_72)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.xi QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W0 _let_12) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_63 false _let_67 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.xi tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.sdtlseqdt0 W1 W0) false))))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_40 false _let_65 false _let_67 false _let_63 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_41 (not _let_44)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_11 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_44 false _let_45)) :args (_let_41 false _let_42 false _let_44)) :args (_let_39 false _let_40 false _let_41)) :args (_let_33 false _let_39)))) (let ((_let_77 (not _let_37))) (let ((_let_78 (= _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_79 (not _let_78))) (let ((_let_80 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_81 (and _let_80 _let_35 _let_79))) (let ((_let_82 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 _let_5))) (let ((_let_83 (= _let_82 _let_81))) (let ((_let_84 (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (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))))))))) (let ((_let_85 (tptp.aSet0 _let_5))) (let ((_let_86 (and _let_85 _let_84))) (let ((_let_87 (tptp.aElement0 _let_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (not _let_38))) (let ((_let_90 (or _let_89 _let_88 _let_86))) (let ((_let_91 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1908 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElement0 W1)) (= (= (tptp.sdtmndt0 W0 W1) BOUND_VARIABLE_1908) (and (tptp.aSet0 BOUND_VARIABLE_1908) (forall ((W3 $$unsorted)) (= (and (tptp.aElement0 W3) (tptp.aElementOf0 W3 W0) (not (= W1 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1908))))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (tptp.aElementOf0 _let_2 _let_1))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_89 _let_94 _let_87))) (let ((_let_96 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1725 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1725 W0)) (tptp.aElement0 BOUND_VARIABLE_1725))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_1 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_99 (and _let_93 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2))))))) (let ((_let_100 (= _let_21 _let_1))) (let ((_let_101 (tptp.aSubsetOf0 _let_1 _let_12))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100 _let_99))) (let ((_let_104 (forall ((W0 $$unsorted) (BOUND_VARIABLE_2318 $$unsorted)) (or (not (tptp.aSubsetOf0 W0 (tptp.szDzozmdt0 tptp.xN))) (= W0 (tptp.slbdtrb0 tptp.sz00)) (= (and (tptp.aElementOf0 BOUND_VARIABLE_2318 W0) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.sdtlseqdt0 BOUND_VARIABLE_2318 W2)))) (= (tptp.szmzizndt0 W0) BOUND_VARIABLE_2318)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_23)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((W0 $$unsorted) (BOUND_VARIABLE_2318 $$unsorted)) (or (not (tptp.aSubsetOf0 W0 tptp.szNzAzT0)) (= tptp.slcrc0 W0) (= (and (tptp.aElementOf0 BOUND_VARIABLE_2318 W0) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.sdtlseqdt0 BOUND_VARIABLE_2318 W2)))) (= (tptp.szmzizndt0 W0) BOUND_VARIABLE_2318)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_106 (tptp.isFinite0 _let_21))) (let ((_let_107 (tptp.isFinite0 _let_1))) (let ((_let_108 (not _let_100))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (not _let_107))) (let ((_let_111 (tptp.isCountable0 _let_1))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_89 _let_112 _let_110))) (let ((_let_114 (forall ((W0 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (and _let_101 _let_111))) (let ((_let_117 (or _let_68 _let_116))) (let ((_let_118 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szDzozmdt0 tptp.xN))) (or (not (tptp.aElementOf0 W0 _let_2)) (and (tptp.aSubsetOf0 _let_1 _let_2) (tptp.isCountable0 _let_1)))))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_10)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (and (tptp.aSubsetOf0 _let_1 tptp.szNzAzT0) (tptp.isCountable0 _let_1))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_68 _let_116 (not _let_117)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.xi QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W0 _let_12) false))))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_116 false _let_67 false _let_117)))) (let ((_let_121 (not _let_116))) (let ((_let_122 (and _let_38 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (tptp.aElementOf0 W2 (tptp.szDzozmdt0 tptp.xN))))))) (let ((_let_123 (= _let_101 _let_122))) (let ((_let_124 (or _let_53 _let_123))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_116 0)) :args ((or _let_101 _let_121))) _let_120 :args (_let_101 false _let_116)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_122 0)) :args ((or _let_38 (not _let_122)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_123)) :args ((or _let_102 _let_122 (not _let_123)))) _let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_53 _let_123 (not _let_124)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_12 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47)) _let_46 :args (_let_124 false _let_45)) :args (_let_123 false _let_52 false _let_124)) :args (_let_122 false _let_101 false _let_123)) :args (_let_38 false _let_122)))) (let ((_let_127 (or))) (let ((_let_128 (ASSUME :args (_let_100)))) (let ((_let_129 (ASSUME :args (_let_110)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_99 0)) :args ((or _let_93 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_100 _let_99 (not _let_103)))) _let_125 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_109 _let_128 _let_129) :args (_let_106 _let_110 _let_100)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_129)) (CONG (SYMM _let_128) :args (APPLY_UF tptp.isFinite0)) (TRUE_INTRO _let_109))) :args (_let_106 _let_100 _let_110)) :args ((not (and _let_106 _let_110 _let_100)) SB_LITERAL))) (CONG (REFL :args ((not _let_106))) (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_107))) (REFL :args (_let_108)) :args _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_89 _let_112 _let_110 (not _let_113)))) _let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_116 1)) :args ((or _let_111 _let_121))) _let_120 :args (_let_111 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_1 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_110 false _let_38 false _let_111 false _let_113)) _let_109 :args (_let_108 true _let_107 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_98) :args (_let_104)))) _let_105 :args (_let_103 false _let_104)) :args (_let_99 false _let_101 true _let_100 false _let_103)) :args (_let_93 false _let_99)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_89 _let_94 _let_87 (not _let_95)))) _let_126 _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_98) :args (_let_96))) _let_97 :args (_let_95 false _let_96)) :args (_let_87 false _let_38 false _let_93 false _let_95)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_88 _let_86 (not _let_90)))) _let_126 _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_1 _let_2 _let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_91)))) _let_92 :args (_let_90 false _let_91)) :args (_let_86 false _let_38 false _let_87 false _let_90)))) (let ((_let_133 (not _let_86))) (let ((_let_134 (_let_84))) (let ((_let_135 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_136 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 tptp.xQ))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_82))) (let ((_let_139 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (or (not (tptp.aElementOf0 W2 tptp.xQ)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))))) (let ((_let_140 (tptp.aSet0 tptp.xQ))) (let ((_let_141 (and _let_140 _let_139))) (let ((_let_142 (tptp.aSubsetOf0 tptp.xQ _let_5))) (let ((_let_143 (= _let_142 _let_141))) (let ((_let_144 (not _let_85))) (let ((_let_145 (or _let_144 _let_143))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 0)) :args ((or _let_85 _let_133))) _let_132 :args (_let_85 false _let_86)))) (let ((_let_147 (and _let_142 (= tptp.xk (tptp.sbrdtbr0 tptp.xQ))))) (let ((_let_148 (= _let_7 _let_147))) (let ((_let_149 (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))) (let ((_let_2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))) (= (tptp.aElementOf0 W3 (tptp.slbdtsldtrb0 _let_2 tptp.xk)) (and (tptp.aSubsetOf0 W3 _let_2) (= (tptp.sbrdtbr0 W3) tptp.xk)))))))) (let ((_let_150 (and (tptp.aSet0 _let_6) _let_149))) (let ((_let_151 (tptp.aElementOf0 tptp.xk _let_12))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_144 _let_152 _let_150))) (let ((_let_154 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_2474 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xN))) (= (= (tptp.slbdtsldtrb0 W0 W1) BOUND_VARIABLE_2474) (and (tptp.aSet0 BOUND_VARIABLE_2474) (forall ((W3 $$unsorted)) (= (and (tptp.aSubsetOf0 W3 W0) (= W1 (tptp.sbrdtbr0 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_2474))))))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_20)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_2474 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (= (tptp.slbdtsldtrb0 W0 W1) BOUND_VARIABLE_2474) (and (tptp.aSet0 BOUND_VARIABLE_2474) (forall ((W3 $$unsorted)) (= (and (tptp.aSubsetOf0 W3 W0) (= W1 (tptp.sbrdtbr0 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_2474))))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_156 (_let_149))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_143)) :args ((or (not _let_142) _let_141 (not _let_143)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_147 0)) :args ((or _let_142 (not _let_147)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_148)) :args ((or (not _let_7) _let_147 (not _let_148)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_156) :args (tptp.xQ QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W3 _let_6)))) :args _let_156))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_150 1)) :args ((or _let_149 (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_152 _let_144 _let_150 (not _let_153)))) (EQ_RESOLVE _let_58 (TRANS _let_57 (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_15 (= tptp.xK _let_14)) SB_DEFAULT SBA_FIXPOINT)))) _let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_5 tptp.xk _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_154)))) _let_155 :args (_let_153 false _let_154)) :args (_let_150 false _let_151 false _let_85 false _let_153)) :args (_let_149 false _let_150)) :args (_let_148 false _let_149)) :args (_let_147 false _let_7 false _let_148)) :args (_let_142 false _let_147)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_144 _let_143 (not _let_145)))) _let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_5 tptp.xQ QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_47)) _let_46 :args (_let_145 false _let_45)) :args (_let_143 false _let_85 false _let_145)) :args (_let_141 false _let_142 false _let_143)))) (let ((_let_158 (not _let_141))) (let ((_let_159 (_let_139))) (let ((_let_160 (or _let_136 _let_78))) (let ((_let_161 (and _let_80 _let_160))) (let ((_let_162 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 _let_3))) (let ((_let_163 (= _let_162 _let_161))) (let ((_let_164 (forall ((W3 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi)))) (= (tptp.aElementOf0 W3 (tptp.sdtpldt0 tptp.xQ _let_1)) (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 tptp.xQ) (= W3 _let_1)))))))) (let ((_let_165 (tptp.aSet0 _let_3))) (let ((_let_166 (and _let_165 _let_164))) (let ((_let_167 (not _let_140))) (let ((_let_168 (or _let_167 _let_88 _let_166))) (let ((_let_169 (forall ((W0 $$unsorted) (W1 $$unsorted) (BOUND_VARIABLE_1872 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElement0 W1)) (= (= (tptp.sdtpldt0 W0 W1) BOUND_VARIABLE_1872) (and (tptp.aSet0 BOUND_VARIABLE_1872) (forall ((W3 $$unsorted)) (= (and (tptp.aElement0 W3) (or (tptp.aElementOf0 W3 W0) (= W1 W3))) (tptp.aElementOf0 W3 BOUND_VARIABLE_1872))))))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_88 _let_167 _let_166 (not _let_168)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_141 0)) :args ((or _let_140 _let_158))) _let_157 :args (_let_140 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.xQ _let_2 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_169)))) _let_170 :args (_let_168 false _let_169)) :args (_let_166 false _let_87 false _let_140 false _let_168)))) (let ((_let_172 (not _let_166))) (let ((_let_173 (_let_164))) (let ((_let_174 (not _let_162))) (let ((_let_175 (or _let_174 _let_34))) (let ((_let_176 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtpldt0 tptp.xQ (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN tptp.xi))))) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)))))) (let ((_let_177 (not _let_175))) (let ((_let_178 (and _let_165 _let_176))) (let ((_let_179 (not _let_176))) (let ((_let_180 (tptp.aSubsetOf0 _let_3 _let_11))) (let ((_let_181 (= _let_180 _let_178))) (let ((_let_182 (not _let_178))) (let ((_let_183 (or _let_43 _let_181))) (let ((_let_184 (_let_179))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_184)) :args _let_184)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_176))) (REFL :args (_let_177)) :args _let_127)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_181)) :args ((or _let_180 _let_182 (not _let_181)))) (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_60 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_43 _let_181 (not _let_183)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_11 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_183 false _let_45)) :args (_let_181 false _let_42 false _let_183)) :args (_let_182 true _let_180 false _let_181)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 0)) :args ((or _let_165 _let_172))) _let_171 :args (_let_165 false _let_166)) :args (_let_179 true _let_178 false _let_165)) :args (_let_177 true _let_176)))) (let ((_let_186 (tptp.aElementOf0 _let_2 _let_11))) (let ((_let_187 (not _let_34))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_175 1)) _let_185 :args (_let_187 true _let_175)))) (let ((_let_189 (or _let_94 _let_186))) (let ((_let_190 (_let_33))) (let ((_let_191 (ASSUME :args _let_190))) (let ((_let_192 (ASSUME :args (_let_186)))) (let ((_let_193 (ASSUME :args (_let_78)))) (let ((_let_194 (ASSUME :args (_let_187)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args _let_135) :args _let_190)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_34 _let_36 _let_77))) _let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_35 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_83)) :args ((or (not _let_82) _let_81 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_82 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_136 _let_78 (not _let_160)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_192 _let_193 _let_194) :args (_let_187 _let_186 _let_78)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_194)) (CONG (SYMM _let_193) (REFL :args (_let_11)) :args (APPLY_UF tptp.aElementOf0)) (TRUE_INTRO _let_192))) :args (_let_186 _let_78 _let_187)) :args ((not (and _let_187 _let_186 _let_78)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_187) _let_34))) (REFL :args ((not _let_186))) (REFL :args (_let_79)) :args _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_94 _let_186 (not _let_189)))) _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_190)) _let_76 :args (_let_189 false _let_33)) :args (_let_186 false _let_93 false _let_189)) _let_188 :args (_let_79 false _let_186 true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_161 1)) :args ((or _let_160 (not _let_161)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_163)) :args ((or _let_174 _let_161 (not _let_163)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_175 0)) (CONG (REFL :args (_let_175)) (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_162))) :args _let_127)) :args ((or _let_162 _let_175))) _let_185 :args (_let_162 true _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_173) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W3 _let_3)))) :args _let_173))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_166 1)) :args ((or _let_164 _let_172))) _let_171 :args (_let_164 false _let_166)) :args (_let_163 false _let_164)) :args (_let_161 false _let_162 false _let_163)) :args (_let_160 false _let_161)) :args (_let_136 true _let_78 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_159) :args _let_135) :args _let_159)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_141 1)) :args ((or _let_139 _let_158))) _let_157 :args (_let_139 false _let_141)) :args (_let_138 false _let_139)) :args (_let_82 false _let_136 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_134) :args _let_135) :args _let_134))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 1)) :args ((or _let_84 _let_133))) _let_132 :args (_let_84 false _let_86)) :args (_let_83 false _let_84)) :args (_let_81 false _let_82 false _let_83)) :args (_let_35 false _let_81)) :args (_let_77 true _let_34 false _let_35)) _let_76 :args (false true _let_37 false _let_33)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_32 (forall ((W0 $$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)))))) _let_31 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))) _let_30 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))) _let_29 (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)))) _let_28 _let_27 (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)))))) _let_26 _let_25 (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))) _let_24 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (not (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W0) tptp.sz00)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (= (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W0) (tptp.szszuzczcdt0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0) (tptp.aElementOf0 W2 tptp.szNzAzT0)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (or (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 W1) W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.iLess0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aElement0 (tptp.sbrdtbr0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (tptp.aElementOf0 (tptp.sbrdtbr0 W0) tptp.szNzAzT0) (tptp.isFinite0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (= (tptp.sbrdtbr0 W0) tptp.sz00) (= W0 tptp.slcrc0)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aElement0 W1) (=> (not (tptp.aElementOf0 W1 W0)) (= (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 $$unsorted)) (and (tptp.aSubsetOf0 W2 W0) (= (tptp.sbrdtbr0 W2) W1)))))) _let_23 (forall ((W0 $$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_22 (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 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (= (tptp.sbrdtbr0 (tptp.slbdtrb0 W0)) W0))) _let_20 (forall ((W0 $$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) _let_19 (and (tptp.aFunction0 tptp.xc) (= _let_18 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc _let_18) tptp.xT)) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (forall ((W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W1 tptp.szNzAzT0) (tptp.isCountable0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 W2))) (=> (and (tptp.aFunction0 W2) (= _let_1 (tptp.slbdtsldtrb0 W1 W0)) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 W2 _let_1) tptp.xT)) (=> (tptp.iLess0 W0 tptp.xK) (exists ((W3 $$unsorted)) (and (tptp.aElementOf0 W3 tptp.xT) (exists ((W4 $$unsorted)) (and (tptp.aSubsetOf0 W4 W1) (tptp.isCountable0 W4) (forall ((W5 $$unsorted)) (=> (tptp.aElementOf0 W5 (tptp.slbdtsldtrb0 W4 W0)) (= (tptp.sdtlpdtrp0 W2 W5) W3))))))))))))))) _let_17 _let_17 _let_16 _let_13 _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.aElementOf0 W1 tptp.szNzAzT0) (not (= W0 W1))) (not (= (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)) (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W1)))))) _let_8 _let_7 (= (tptp.sbrdtbr0 _let_3) tptp.xK) _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 194.36/194.65 )
% 194.36/194.65 % SZS output end Proof for NUM581+1
% 194.36/194.65 % cvc5---1.0.5 exiting
% 194.36/194.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------