TSTP Solution File: NUM585+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 10:45:21 EDT 2023
% Result : Theorem 46.63s 47.25s
% Output : Proof 46.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM585+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 12:20:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF
% 46.63/47.25 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5Dam9zHejs/cvc5---1.0.5_14179.p...
% 46.63/47.25 ------- get file name : TPTP file name is NUM585+3
% 46.63/47.25 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14179.smt2...
% 46.63/47.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 46.63/47.25 --- Run --no-e-matching --full-saturate-quant at 5...
% 46.63/47.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 46.63/47.25 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 46.63/47.25 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 46.63/47.25 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 46.63/47.25 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 46.63/47.25 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.63/47.25 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 46.63/47.25 % SZS status Theorem for NUM585+3
% 46.63/47.25 % SZS output start Proof for NUM585+3
% 46.63/47.25 (
% 46.63/47.25 (let ((_let_1 (not (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 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (and (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1)) (= (tptp.sdtlpdtrp0 _let_1 W2) W1)))))))) (or (forall ((W1 $$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)))))))))) (let ((_let_2 (tptp.szDzozmdt0 tptp.xC))) (let ((_let_3 (tptp.aFunction0 tptp.xC))) (let ((_let_4 (and _let_3 (= _let_2 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)))))))))))))))))))) (let ((_let_5 (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)))))))))))))) (let ((_let_6 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))) (let ((_let_7 (tptp.szDzozmdt0 tptp.xN))) (let ((_let_8 (and (tptp.aFunction0 tptp.xN) (= _let_7 tptp.szNzAzT0) (= _let_6 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 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (=> (tptp.aElementOf0 W1 (tptp.sdtlpdtrp0 tptp.xN (tptp.szszuzczcdt0 W0))) (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 _let_1 _let_4) (tptp.isCountable0 _let_1)))))))))))) (let ((_let_9 (tptp.szszuzczcdt0 tptp.xk))) (let ((_let_10 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= _let_9 tptp.xK)))) (let ((_let_11 (not (= tptp.xK tptp.sz00)))) (let ((_let_12 (tptp.szDzozmdt0 tptp.xc))) (let ((_let_13 (tptp.sdtlcdtrc0 tptp.xc _let_12))) (let ((_let_14 (tptp.aSubsetOf0 _let_13 tptp.xT))) (let ((_let_15 (tptp.aSet0 _let_13))) (let ((_let_16 (= _let_12 (tptp.slbdtsldtrb0 tptp.xS tptp.xK)))) (let ((_let_17 (tptp.aFunction0 tptp.xc))) (let ((_let_18 (and _let_17 (forall ((W0 $$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_16 _let_15 (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 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (tptp.aElementOf0 W0 tptp.xT))) _let_14))) (let ((_let_19 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))) (let ((_let_20 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.szmzizndt0 _let_20))) (let ((_let_22 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_21))) (let ((_let_23 (tptp.sdtlpdtrp0 tptp.xc _let_22))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.aElementOf0 _let_22 _let_12))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25))) (let ((_let_29 (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xc))) (not (= (tptp.sdtlpdtrp0 tptp.xc W1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.szDzozmdt0 tptp.xc))) (not (= W0 (tptp.sdtlpdtrp0 tptp.xc W1)))))))))) (let ((_let_34 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.sdtlcdtrc0 tptp.xc (tptp.szDzozmdt0 tptp.xc)))) (tptp.aElementOf0 W0 tptp.xT))))) (let ((_let_35 (1))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (2))) (let ((_let_38 (AND_INTRO (AND_ELIM _let_36 :args _let_37) (AND_ELIM _let_36 :args _let_35) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args _let_35) (SYMM (ASSUME :args (_let_19)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_18)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_38 :args ((and _let_17 _let_16 _let_15 _let_33 _let_34 _let_14 (forall ((BOUND_VARIABLE_2919 $$unsorted)) (or (not (tptp.aElementOf0 BOUND_VARIABLE_2919 (tptp.szDzozmdt0 tptp.xc))) (and (tptp.aSet0 BOUND_VARIABLE_2919) (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 BOUND_VARIABLE_2919)) (tptp.aElementOf0 W1 tptp.xS))) (tptp.aSubsetOf0 BOUND_VARIABLE_2919 tptp.xS) (= tptp.xK (tptp.sbrdtbr0 BOUND_VARIABLE_2919))))) (forall ((BOUND_VARIABLE_2935 $$unsorted)) (or (and (or (not (tptp.aSet0 BOUND_VARIABLE_2935)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 BOUND_VARIABLE_2935)) (tptp.aElementOf0 W1 tptp.xS))))) (not (tptp.aSubsetOf0 BOUND_VARIABLE_2935 tptp.xS))) (not (= tptp.xK (tptp.sbrdtbr0 BOUND_VARIABLE_2935))) (tptp.aElementOf0 BOUND_VARIABLE_2935 (tptp.szDzozmdt0 tptp.xc))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_40 (_let_33))) (let ((_let_41 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xT))) (let ((_let_42 (not _let_31))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (_let_34))) (let ((_let_45 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (tptp.szDzozmdt0 _let_45))) (let ((_let_47 (tptp.sdtlcdtrc0 _let_45 _let_46))) (let ((_let_48 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_41))) (let ((_let_51 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (tptp.aElementOf0 W1 tptp.xT)))))) (let ((_let_52 (not _let_50))) (let ((_let_53 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (= (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1))) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1))) (not (= W1 (tptp.sdtlpdtrp0 _let_1 W2)))))))))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 (not (tptp.aSet0 _let_47)) _let_54 _let_51 (tptp.aSubsetOf0 _let_47 tptp.xT)))) (let ((_let_58 (not _let_51))) (let ((_let_59 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (let ((_let_2 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (or (not (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xN))) (not (tptp.aSet0 _let_2)) (not (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (= (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1))) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (or (not (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1))) (not (= W1 (tptp.sdtlpdtrp0 _let_1 W2))))))))))) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (or (not (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (tptp.aElementOf0 W1 tptp.xT)))) (tptp.aSubsetOf0 _let_2 tptp.xT))))))) (let ((_let_60 (not _let_57))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_38 :args ((not (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (let ((_let_2 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (not (tptp.aSet0 _let_2)) (not (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (= (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1))) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (or (not (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1))) (not (= W1 (tptp.sdtlpdtrp0 _let_1 W2))))))))))) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC W0))) (or (not (tptp.aElementOf0 W1 (tptp.sdtlcdtrc0 _let_1 (tptp.szDzozmdt0 _let_1)))) (tptp.aElementOf0 W1 tptp.xT)))) (tptp.aSubsetOf0 _let_2 tptp.xT)))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_62 (or))) (let ((_let_63 (not _let_59))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_61) :args (_let_63))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_59))) (REFL :args (_let_60)) :args _let_62)) _let_61 :args (_let_60 true _let_59)))) (let ((_let_65 (_let_58))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_51))) (REFL :args (_let_52)) :args _let_62)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 3)) _let_64 :args (_let_58 true _let_57)) :args (_let_52 true _let_51)))) (let ((_let_67 (not _let_32))) (let ((_let_68 (_let_29))) (let ((_let_69 (tptp.sdtlpdtrp0 _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_70 (= _let_69 _let_23))) (let ((_let_71 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69))) (let ((_let_72 (tptp.aElementOf0 _let_21 _let_20))) (let ((_let_73 (and _let_72 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (= W2 _let_1)))))) _let_70))) (let ((_let_74 (tptp.sdtmndt0 _let_20 _let_21))) (let ((_let_75 (tptp.slbdtsldtrb0 _let_74 tptp.xk))) (let ((_let_76 (not (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_75)))) (let ((_let_77 (= tptp.xk (tptp.sbrdtbr0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.aSubsetOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_74))) (let ((_let_80 (not _let_79))) (let ((_let_81 (and (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) _let_80))) (let ((_let_82 (or _let_81 _let_78))) (let ((_let_83 (tptp.aSet0 _let_74))) (let ((_let_84 (and _let_72 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) _let_83 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= W2 _let_2))))))) _let_82 _let_76))) (let ((_let_85 (tptp.aSet0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_73))) (let ((_let_88 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (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))) (or (not (tptp.aSet0 W1)) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_4) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (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 (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 W1)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) (not (tptp.aSubsetOf0 W1 _let_4))) (not (= tptp.xk (tptp.sbrdtbr0 W1)))) (not (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_4 tptp.xk)))) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 W1) (= W2 _let_1)))))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) W1) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 W1 _let_2)))))))))))) (let ((_let_89 (forall ((BOUND_VARIABLE_3363 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 BOUND_VARIABLE_3363 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (and (tptp.aSet0 BOUND_VARIABLE_3363) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3363)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 BOUND_VARIABLE_3363 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))) (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3363)))))))) (let ((_let_90 (and (tptp.aFunction0 _let_45) _let_72 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W1 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W1)))) _let_83 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W1) (tptp.aElementOf0 W1 _let_1) (not (= W1 _let_2))))))) (= _let_46 _let_75) _let_88 _let_89 (forall ((BOUND_VARIABLE_3379 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (and (or (not (tptp.aSet0 BOUND_VARIABLE_3379)) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3379)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))))) (not (tptp.aSubsetOf0 BOUND_VARIABLE_3379 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))) (not (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3379))) (tptp.aElementOf0 BOUND_VARIABLE_3379 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))))) (let ((_let_91 (or _let_56 _let_90))) (let ((_let_92 (forall ((W0 $$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))) (or (not (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xN))) (and (tptp.aFunction0 _let_4) (tptp.aElementOf0 _let_2 _let_1) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W1 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W1)))) (tptp.aSet0 _let_3) (forall ((W1 $$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 (= _let_2 W1))))))) (= (tptp.szDzozmdt0 _let_4) (tptp.slbdtsldtrb0 _let_3 tptp.xk)) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.aElementOf0 _let_2 _let_1))) (let ((_let_4 (tptp.sdtmndt0 _let_1 _let_2))) (or (not (tptp.aSet0 W1)) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_4) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= _let_2 W2))))))) (or (and (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 W1)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) (not (tptp.aSubsetOf0 W1 _let_4))) (not (= tptp.xk (tptp.sbrdtbr0 W1)))) (not (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_4 tptp.xk)))) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (forall ((W2 $$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) (= _let_1 W2)))))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W1) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 W1 _let_2)))))))))) (forall ((BOUND_VARIABLE_3363 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 BOUND_VARIABLE_3363 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC W0)))) (and (tptp.aSet0 BOUND_VARIABLE_3363) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3363)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 BOUND_VARIABLE_3363 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))) (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3363)))))) (forall ((BOUND_VARIABLE_3379 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (and (or (not (tptp.aSet0 BOUND_VARIABLE_3379)) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3379)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))))) (not (tptp.aSubsetOf0 BOUND_VARIABLE_3379 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))) (not (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3379))) (tptp.aElementOf0 BOUND_VARIABLE_3379 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC W0))))))))))))))) (let ((_let_93 (_let_92))) (let ((_let_94 (REFL :args (_let_57)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG _let_94 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_62)) :args ((or _let_55 _let_57))) _let_64 :args (_let_55 true _let_57)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_56 _let_90 (not _let_91)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W0 _let_7) false))))) :args _let_93))) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_38 :args ((and _let_3 (= tptp.szNzAzT0 _let_2) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (let ((_let_3 (tptp.sdtmndt0 _let_1 _let_2))) (let ((_let_4 (tptp.sdtlpdtrp0 tptp.xC W0))) (or (not (tptp.aElementOf0 W0 tptp.szNzAzT0)) (and (tptp.aFunction0 _let_4) (tptp.aElementOf0 _let_2 _let_1) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W1 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W1)))) (tptp.aSet0 _let_3) (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W1 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W1) (tptp.aElementOf0 W1 _let_1) (not (= _let_2 W1))))))) (= (tptp.szDzozmdt0 _let_4) (tptp.slbdtsldtrb0 _let_3 tptp.xk)) (forall ((W1 $$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))) (or (not (tptp.aSet0 W1)) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_4) (forall ((W2 $$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 (= _let_2 W2))))))) (or (and (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 W1)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) (not (tptp.aSubsetOf0 W1 _let_4))) (not (= tptp.xk (tptp.sbrdtbr0 W1)))) (not (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_4 tptp.xk)))) (and _let_3 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN W0)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 W1) (= _let_1 W2)))))) (= (tptp.sdtlpdtrp0 (tptp.sdtlpdtrp0 tptp.xC W0) W1) (tptp.sdtlpdtrp0 tptp.xc (tptp.sdtpldt0 W1 _let_2)))))))))) (forall ((BOUND_VARIABLE_3363 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 BOUND_VARIABLE_3363 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC W0)))) (and (tptp.aSet0 BOUND_VARIABLE_3363) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3363)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) (tptp.aSubsetOf0 BOUND_VARIABLE_3363 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))) (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3363)))))) (forall ((BOUND_VARIABLE_3379 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (and (or (not (tptp.aSet0 BOUND_VARIABLE_3379)) (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN W0))) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_3379)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))))) (not (tptp.aSubsetOf0 BOUND_VARIABLE_3379 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))) (not (= tptp.xk (tptp.sbrdtbr0 BOUND_VARIABLE_3379))) (tptp.aElementOf0 BOUND_VARIABLE_3379 (tptp.szDzozmdt0 (tptp.sdtlpdtrp0 tptp.xC W0)))))))))))))) SB_DEFAULT SBA_FIXPOINT)))) :args _let_37) :args (_let_91 false _let_92)) :args (_let_90 false _let_55 false _let_91)))) (let ((_let_97 (not _let_90))) (let ((_let_98 (_let_88))) (let ((_let_99 (not _let_84))) (let ((_let_100 (not _let_82))) (let ((_let_101 (not _let_81))) (let ((_let_102 (and _let_85 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1)))))) _let_79 _let_77))) (let ((_let_103 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_46))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_102))) (let ((_let_106 (_let_89))) (let ((_let_107 (not _let_71))) (let ((_let_108 (or _let_104 _let_107))) (let ((_let_109 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xC SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 (tptp.szDzozmdt0 _let_1))) (not (= (tptp.sdtlpdtrp0 _let_1 W2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))) (let ((_let_110 (not _let_108))) (let ((_let_111 (not _let_109))) (let ((_let_112 (= _let_48 _let_111))) (let ((_let_113 (_let_53))) (let ((_let_114 (_let_111))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114) (REWRITE :args ((=> _let_111 (not (or _let_104 (not (= _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_109))) (REFL :args (_let_110)) :args _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_112)) :args ((or _let_49 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_50 0)) (CONG (REFL :args (_let_50)) (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) :args _let_62)) :args ((or _let_48 _let_50))) _let_66 :args (_let_48 true _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aElementOf0 W1 _let_47)))) :args _let_113))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 2)) (CONG _let_94 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_62)) :args ((or _let_53 _let_57))) _let_64 :args (_let_53 true _let_57)) :args (_let_112 false _let_53)) :args (_let_111 false _let_48 false _let_112)) :args (_let_110 true _let_109)))) (let ((_let_116 (REFL :args (_let_108)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_102 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_108 0)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_103))) :args _let_62)) :args ((or _let_103 _let_108))) _let_115 :args (_let_103 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 BOUND_VARIABLE_3363 _let_46) false))))) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 7)) :args ((or _let_89 _let_97))) _let_96 :args (_let_89 false _let_90)) :args (_let_105 false _let_89)) :args (_let_102 false _let_103 false _let_105)))) (let ((_let_118 (not _let_102))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 2)) :args ((or _let_79 _let_118))) _let_117 :args (_let_79 false _let_102)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 3)) :args ((or _let_77 _let_118))) _let_117 :args (_let_77 false _let_102)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_85 _let_118))) _let_117 :args (_let_85 false _let_102)))) (let ((_let_122 (and _let_71 _let_70))) (let ((_let_123 (ASSUME :args (_let_70)))) (let ((_let_124 (ASSUME :args (_let_71)))) (let ((_let_125 (tptp.slbdtsldtrb0 _let_6 _let_9))) (let ((_let_126 (tptp.aElementOf0 _let_22 _let_125))) (let ((_let_127 (= _let_12 _let_125))) (let ((_let_128 (and _let_72 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_22) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (= W2 _let_1)))))) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)))) (tptp.aSubsetOf0 _let_22 _let_6) (= _let_9 (tptp.sbrdtbr0 _let_22)) _let_126))) (let ((_let_129 (and (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) _let_80))) (let ((_let_130 (or _let_129 _let_78))) (let ((_let_131 (and _let_72 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) _let_83 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.szmzizndt0 _let_1))) (= (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 _let_2)) (and (tptp.aElement0 W2) (tptp.aElementOf0 W2 _let_1) (not (= W2 _let_2))))))) _let_130 _let_76))) (let ((_let_132 (or _let_86 _let_131 _let_128))) (let ((_let_133 (forall ((W1 $$unsorted)) (let ((_let_1 (tptp.szszuzczcdt0 tptp.xk))) (let ((_let_2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))) (let ((_let_3 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_4 (tptp.szmzizndt0 _let_3))) (let ((_let_5 (tptp.sdtpldt0 W1 _let_4))) (let ((_let_6 (tptp.aElementOf0 _let_4 _let_3))) (let ((_let_7 (tptp.sdtmndt0 _let_3 _let_4))) (or (not (tptp.aSet0 W1)) (and _let_6 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_7) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (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 (not (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 W1)) (tptp.aElementOf0 W2 (tptp.sdtmndt0 _let_1 (tptp.szmzizndt0 _let_1))))))) (not (tptp.aSubsetOf0 W1 _let_7))) (not (= tptp.xk (tptp.sbrdtbr0 W1)))) (not (tptp.aElementOf0 W1 (tptp.slbdtsldtrb0 _let_7 tptp.xk)))) (and _let_6 (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.aElementOf0 W2 _let_1)) (tptp.sdtlseqdt0 (tptp.szmzizndt0 _let_1) W2)))) (tptp.aSet0 _let_5) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (= (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 _let_1)) (and (tptp.aElement0 W2) (or (tptp.aElementOf0 W2 W1) (= W2 _let_1)))))) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.sdtpldt0 W1 (tptp.szmzizndt0 (tptp.sdtlpdtrp0 tptp.xN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (tptp.aElementOf0 W2 (tptp.sdtlpdtrp0 tptp.xN tptp.sz00)))) 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$$unsorted)) (=> (tptp.aElementOf0 W0 tptp.szNzAzT0) (tptp.sdtlseqdt0 W0 (tptp.szszuzczcdt0 W0)))) (forall ((W0 $$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)))))) (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_19 (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 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xS) (tptp.aElementOf0 W0 tptp.szNzAzT0))) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)) _let_18 (forall ((W0 $$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_11 _let_11 _let_10 _let_8 (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))))) (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)))))))))) _let_5 _let_4 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 46.63/47.26 )
% 46.63/47.26 % SZS output end Proof for NUM585+3
% 46.63/47.26 % cvc5---1.0.5 exiting
% 46.63/47.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------