TSTP Solution File: LAT386+4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LAT386+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 06:04:38 EDT 2023
% Result : Theorem 12.45s 12.63s
% Output : Proof 12.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT386+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 : Thu Aug 24 07:30:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 12.45/12.63 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pEE0y2hqMV/cvc5---1.0.5_15363.p...
% 12.45/12.63 ------- get file name : TPTP file name is LAT386+4
% 12.45/12.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15363.smt2...
% 12.45/12.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.45/12.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.45/12.63 % SZS status Theorem for LAT386+4
% 12.45/12.63 % SZS output start Proof for LAT386+4
% 12.45/12.63 (
% 12.45/12.63 (let ((_let_1 (tptp.sdtlpdtrp0 tptp.xf tptp.xp))) (let ((_let_2 (tptp.aUpperBoundOfIn0 _let_1 tptp.xT tptp.xU))) (let ((_let_3 (tptp.aLowerBoundOfIn0 _let_1 tptp.xP tptp.xU))) (let ((_let_4 (not (and (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf tptp.xp) W0))) _let_3) (or (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xT) (tptp.sdtlseqdt0 W0 (tptp.sdtlpdtrp0 tptp.xf tptp.xp)))) _let_2))))) (let ((_let_5 (tptp.aInfimumOfIn0 tptp.xp tptp.xP tptp.xU))) (let ((_let_6 (tptp.aLowerBoundOfIn0 tptp.xp tptp.xP tptp.xU))) (let ((_let_7 (tptp.aElementOf0 tptp.xp tptp.xU))) (let ((_let_8 (and _let_7 _let_7 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xP) (tptp.sdtlseqdt0 tptp.xp W0))) _let_6 (forall ((W0 $$unsorted)) (=> (or (and (tptp.aElementOf0 W0 tptp.xU) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xP) (tptp.sdtlseqdt0 W0 W1)))) (tptp.aLowerBoundOfIn0 W0 tptp.xP tptp.xU)) (tptp.sdtlseqdt0 W0 tptp.xp))) _let_5))) (let ((_let_9 (= tptp.xP (tptp.cS1241 tptp.xU tptp.xf tptp.xT)))) (let ((_let_10 (tptp.aSet0 tptp.xP))) (let ((_let_11 (and _let_10 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W0 tptp.xP))) (let ((_let_2 (tptp.aUpperBoundOfIn0 W0 tptp.xT tptp.xU))) (let ((_let_3 (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf W0) W0))) (let ((_let_4 (tptp.aElementOf0 W0 tptp.xU))) (and (=> _let_1 (and _let_4 _let_3 (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xT) (tptp.sdtlseqdt0 W1 W0))) _let_2)) (=> (and _let_4 _let_3 (or (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 tptp.xT) (tptp.sdtlseqdt0 W1 W0))) _let_2)) _let_1))))))) _let_9))) (let ((_let_12 (tptp.aSubsetOf0 tptp.xT tptp.xS))) (let ((_let_13 (tptp.aSet0 tptp.xT))) (let ((_let_14 (and _let_13 (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 tptp.xT) (tptp.aElementOf0 W0 tptp.xS))) _let_12))) (let ((_let_15 (tptp.cS1142 tptp.xf))) (let ((_let_16 (= tptp.xS _let_15))) (let ((_let_17 (tptp.aSet0 tptp.xS))) (let ((_let_18 (and _let_17 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W0 tptp.xS))) (let ((_let_2 (tptp.aFixedPointOf0 W0 tptp.xf))) (let ((_let_3 (= (tptp.sdtlpdtrp0 tptp.xf W0) W0))) (let ((_let_4 (tptp.aElementOf0 W0 (tptp.szDzozmdt0 tptp.xf)))) (and (=> _let_1 (and _let_4 _let_3 _let_2)) (=> (or (and _let_4 _let_3) _let_2) _let_1))))))) _let_16))) (let ((_let_19 (tptp.isOn0 tptp.xf tptp.xU))) (let ((_let_20 (tptp.szRzazndt0 tptp.xf))) (let ((_let_21 (tptp.szDzozmdt0 tptp.xf))) (let ((_let_22 (tptp.isMonotone0 tptp.xf))) (let ((_let_23 (tptp.aFunction0 tptp.xf))) (let ((_let_24 (tptp.aCompleteLattice0 tptp.xU))) (let ((_let_25 (tptp.aSet0 tptp.xU))) (let ((_let_26 (and _let_25 (forall ((W0 $$unsorted)) (=> (or (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElementOf0 W1 tptp.xU)))) (tptp.aSubsetOf0 W0 tptp.xU)) (exists ((W1 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W1 tptp.xU))) (and _let_1 _let_1 (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W0) (tptp.sdtlseqdt0 W1 W2))) (tptp.aLowerBoundOfIn0 W1 W0 tptp.xU) (forall ((W2 $$unsorted)) (=> (or (and (tptp.aElementOf0 W2 tptp.xU) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W0) (tptp.sdtlseqdt0 W2 W3)))) (tptp.aLowerBoundOfIn0 W2 W0 tptp.xU)) (tptp.sdtlseqdt0 W2 W1))) (tptp.aInfimumOfIn0 W1 W0 tptp.xU) (exists ((W2 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W2 tptp.xU))) (and _let_1 _let_1 (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W0) (tptp.sdtlseqdt0 W3 W2))) (tptp.aUpperBoundOfIn0 W2 W0 tptp.xU) (forall ((W3 $$unsorted)) (=> (or (and (tptp.aElementOf0 W3 tptp.xU) (forall ((W4 $$unsorted)) (=> (tptp.aElementOf0 W4 W0) (tptp.sdtlseqdt0 W4 W3)))) (tptp.aUpperBoundOfIn0 W3 W0 tptp.xU)) (tptp.sdtlseqdt0 W2 W3))) (tptp.aSupremumOfIn0 W2 W0 tptp.xU))))))))) _let_24 _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 tptp.xf))) (=> (and (tptp.aElementOf0 W0 _let_1) (tptp.aElementOf0 W1 _let_1)) (=> (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf W0) (tptp.sdtlpdtrp0 tptp.xf W1)))))) _let_22 (= _let_21 _let_20) (= _let_20 tptp.xU) _let_19))) (let ((_let_27 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 (tptp.szDzozmdt0 W0)) (tptp.aElementOf0 (tptp.sdtlpdtrp0 W0 W1) (tptp.szRzazndt0 W0)))))))) (let ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1) (tptp.aElement0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))))) (let ((_let_29 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))))) (let ((_let_30 (tptp.cS1241 _let_20 tptp.xf tptp.xT))) (let ((_let_31 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240 _let_30))) (let ((_let_32 (tptp.sdtlseqdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240))) (let ((_let_33 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xT))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (and (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240 _let_20) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240) _let_35 (tptp.aUpperBoundOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240 tptp.xT _let_20)))) (let ((_let_37 (not _let_31))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (or _let_37 _let_32))) (let ((_let_40 (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.cS1241 (tptp.szRzazndt0 tptp.xf) tptp.xf tptp.xT))) (tptp.sdtlseqdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 W1))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (not _let_40))) (let ((_let_43 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_20))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (and _let_45 (not (tptp.aLowerBoundOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_30 _let_20))))) (let ((_let_47 (tptp.sdtlseqdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xp))) (let ((_let_48 (or _let_46 _let_47))) (let ((_let_49 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.szRzazndt0 tptp.xf))) (or (and (or (not (tptp.aElementOf0 W0 _let_1)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 (tptp.cS1241 (tptp.szRzazndt0 tptp.xf) tptp.xf tptp.xT))) (tptp.sdtlseqdt0 W0 W1))))) (not (tptp.aLowerBoundOfIn0 W0 (tptp.cS1241 _let_1 tptp.xf tptp.xT) _let_1))) (tptp.sdtlseqdt0 W0 tptp.xp)))))) (let ((_let_50 (4))) (let ((_let_51 (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_52 (ASSUME :args (_let_26)))) (let ((_let_53 (AND_ELIM (EQ_RESOLVE _let_52 _let_51) :args (7)))) (let ((_let_54 (1))) (let ((_let_55 (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_56 (ASSUME :args (_let_18)))) (let ((_let_57 (AND_ELIM (EQ_RESOLVE _let_56 _let_55) :args _let_54))) (let ((_let_58 (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_59 (ASSUME :args (_let_11)))) (let ((_let_60 (AND_INTRO (EQ_RESOLVE (AND_ELIM (EQ_RESOLVE _let_59 _let_58) :args _let_54) (MACRO_SR_EQ_INTRO (AND_INTRO _let_57 _let_53) :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) _let_57 _let_53))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_7 _let_7 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xP)) (tptp.sdtlseqdt0 tptp.xp W0))) _let_6 (forall ((W0 $$unsorted)) (or (and (or (not (tptp.aElementOf0 W0 tptp.xU)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xP)) (tptp.sdtlseqdt0 W0 W1))))) (not (tptp.aLowerBoundOfIn0 W0 tptp.xP tptp.xU))) (tptp.sdtlseqdt0 W0 tptp.xp))) _let_5) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_62 (_let_49))) (let ((_let_63 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_ENUM))) (let ((_let_64 (tptp.sdtlpdtrp0 tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49))) (let ((_let_65 (tptp.sdtlseqdt0 _let_64 _let_1))) (let ((_let_66 (not _let_47))) (let ((_let_67 (tptp.aElementOf0 tptp.xp _let_21))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_21))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_68 _let_66 _let_65))) (let ((_let_72 (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 tptp.xf))) (or (not (tptp.aElementOf0 W0 _let_1)) (not (tptp.aElementOf0 W1 _let_1)) (not (tptp.sdtlseqdt0 W0 W1)) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf W0) (tptp.sdtlpdtrp0 tptp.xf W1))))))) (let ((_let_73 (= _let_20 _let_21))) (let ((_let_74 (EQ_RESOLVE _let_52 (TRANS _let_51 (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_25 (forall ((W0 $$unsorted)) (or (and (or (not (tptp.aSet0 W0)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 W0)) (tptp.aElementOf0 W1 tptp.xU))))) (not (tptp.aSubsetOf0 W0 tptp.xU))) (and (not (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xU)) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElementOf0 W3 W0)) (tptp.sdtlseqdt0 W3 W2)))) (not (tptp.aUpperBoundOfIn0 W2 W0 tptp.xU)) (not (forall ((W3 $$unsorted)) (or (and (or (not (tptp.aElementOf0 W3 tptp.xU)) (not (forall ((W4 $$unsorted)) (or (not (tptp.aElementOf0 W4 W0)) (tptp.sdtlseqdt0 W4 W3))))) (not (tptp.aUpperBoundOfIn0 W3 W0 tptp.xU))) (tptp.sdtlseqdt0 W2 W3)))) (not (tptp.aSupremumOfIn0 W2 W0 tptp.xU))))) (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xU)) (not (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 W0)) (tptp.sdtlseqdt0 W1 W2)))) (not (tptp.aLowerBoundOfIn0 W1 W0 tptp.xU)) (not (forall ((W2 $$unsorted)) (or (and (or (not (tptp.aElementOf0 W2 tptp.xU)) (not (forall ((W3 $$unsorted)) (or (not (tptp.aElementOf0 W3 W0)) (tptp.sdtlseqdt0 W2 W3))))) (not (tptp.aLowerBoundOfIn0 W2 W0 tptp.xU))) (tptp.sdtlseqdt0 W2 W1)))) (not (tptp.aInfimumOfIn0 W1 W0 tptp.xU)))))))) _let_24 _let_23 _let_72 _let_22 _let_73 (= tptp.xU _let_20) _let_19) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_75 (AND_ELIM _let_74 :args _let_50))) (let ((_let_76 (_let_72))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_64))) (let ((_let_79 (tptp.sdtlseqdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_1))) (let ((_let_80 (not _let_65))) (let ((_let_81 (and _let_69 _let_78 (tptp.aFixedPointOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xf)))) (let ((_let_82 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 _let_15))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81))) (let ((_let_85 (forall ((BOUND_VARIABLE_1755 $$unsorted)) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1755 (tptp.cS1142 tptp.xf))) (and (tptp.aElementOf0 BOUND_VARIABLE_1755 (tptp.szDzozmdt0 tptp.xf)) (= BOUND_VARIABLE_1755 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1755)) (tptp.aFixedPointOf0 BOUND_VARIABLE_1755 tptp.xf)))))) (let ((_let_86 (AND_ELIM (EQ_RESOLVE _let_56 (TRANS _let_55 (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_17 _let_16 (forall ((BOUND_VARIABLE_1755 $$unsorted)) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1755 tptp.xS)) (and (tptp.aElementOf0 BOUND_VARIABLE_1755 (tptp.szDzozmdt0 tptp.xf)) (= BOUND_VARIABLE_1755 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1755)) (tptp.aFixedPointOf0 BOUND_VARIABLE_1755 tptp.xf)))) (forall ((BOUND_VARIABLE_1767 $$unsorted)) (or (and (or (not (tptp.aElementOf0 BOUND_VARIABLE_1767 (tptp.szDzozmdt0 tptp.xf))) (not (= BOUND_VARIABLE_1767 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1767)))) (not (tptp.aFixedPointOf0 BOUND_VARIABLE_1767 tptp.xf))) (tptp.aElementOf0 BOUND_VARIABLE_1767 tptp.xS)))) SB_DEFAULT SBA_FIXPOINT)))) :args _let_54))) (let ((_let_87 (_let_85))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (or _let_34 _let_82))) (let ((_let_90 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xT)) (tptp.aElementOf0 W0 (tptp.cS1142 tptp.xf)))))) (let ((_let_91 (_let_90))) (let ((_let_92 (or _let_34 _let_79))) (let ((_let_93 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xT)) (tptp.sdtlseqdt0 W0 (tptp.sdtlpdtrp0 tptp.xf tptp.xp)))))) (let ((_let_94 (not _let_92))) (let ((_let_95 (or _let_93 (tptp.aUpperBoundOfIn0 _let_1 tptp.xT _let_20)))) (let ((_let_96 (not _let_93))) (let ((_let_97 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.cS1241 (tptp.szRzazndt0 tptp.xf) tptp.xf tptp.xT))) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf tptp.xp) W0))))) (let ((_let_98 (or _let_97 (tptp.aLowerBoundOfIn0 _let_1 _let_30 _let_20)))) (let ((_let_99 (tptp.sdtlseqdt0 _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_100 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_30))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_99))) (let ((_let_103 (tptp.aSet0 _let_30))) (let ((_let_104 (tptp.aElement0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_105 (not _let_103))) (let ((_let_106 (or _let_105 _let_101 _let_104))) (let ((_let_107 (tptp.sdtlpdtrp0 tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_108 (tptp.sdtlseqdt0 _let_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_110 (and _let_109 _let_108 (or (not (tptp.aElementOf0 tptp.xf tptp.xT)) (tptp.sdtlseqdt0 tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.aUpperBoundOfIn0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xT _let_20)))) (let ((_let_111 (or _let_101 _let_110))) (let ((_let_112 (tptp.sdtlseqdt0 tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_113 (or _let_101 _let_112))) (let ((_let_114 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_115 (tptp.aElementOf0 _let_107 _let_20))) (let ((_let_116 (not _let_114))) (let ((_let_117 (not _let_23))) (let ((_let_118 (or _let_117 _let_116 _let_115))) (let ((_let_119 (tptp.sdtlseqdt0 _let_1 _let_107))) (let ((_let_120 (not _let_112))) (let ((_let_121 (or _let_68 _let_116 _let_120 _let_119))) (let ((_let_122 (tptp.aSet0 _let_20))) (let ((_let_123 (tptp.aElement0 _let_107))) (let ((_let_124 (not _let_115))) (let ((_let_125 (not _let_122))) (let ((_let_126 (or _let_125 _let_124 _let_123))) (let ((_let_127 (tptp.aElement0 _let_1))) (let ((_let_128 (not _let_108))) (let ((_let_129 (not _let_119))) (let ((_let_130 (not _let_104))) (let ((_let_131 (not _let_123))) (let ((_let_132 (not _let_127))) (let ((_let_133 (or _let_132 _let_131 _let_130 _let_129 _let_128 _let_99))) (let ((_let_134 (or))) (let ((_let_135 (0))) (let ((_let_136 (EQ_RESOLVE _let_59 (TRANS _let_58 (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_10 _let_9 (forall ((BOUND_VARIABLE_1817 $$unsorted) (BOUND_VARIABLE_1851 $$unsorted)) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1817 tptp.xP)) (and (tptp.aElementOf0 BOUND_VARIABLE_1817 tptp.xU) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1817) BOUND_VARIABLE_1817) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1851 tptp.xT)) (tptp.sdtlseqdt0 BOUND_VARIABLE_1851 BOUND_VARIABLE_1817)) (tptp.aUpperBoundOfIn0 BOUND_VARIABLE_1817 tptp.xT tptp.xU)))) (forall ((BOUND_VARIABLE_1832 $$unsorted)) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1832 tptp.xU)) (not (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1832) BOUND_VARIABLE_1832)) (and (not (forall ((W1 $$unsorted)) (or (not (tptp.aElementOf0 W1 tptp.xT)) (tptp.sdtlseqdt0 W1 BOUND_VARIABLE_1832)))) (not (tptp.aUpperBoundOfIn0 BOUND_VARIABLE_1832 tptp.xT tptp.xU))) (tptp.aElementOf0 BOUND_VARIABLE_1832 tptp.xP)))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_137 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1143 $$unsorted)) (or (not (tptp.aSet0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1143 W0)) (tptp.aElement0 BOUND_VARIABLE_1143))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 (forall ((BOUND_VARIABLE_1817 $$unsorted) (BOUND_VARIABLE_1851 $$unsorted)) (let ((_let_1 (tptp.szRzazndt0 tptp.xf))) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1817 (tptp.cS1241 _let_1 tptp.xf tptp.xT))) (and (tptp.aElementOf0 BOUND_VARIABLE_1817 _let_1) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf BOUND_VARIABLE_1817) BOUND_VARIABLE_1817) (or (not (tptp.aElementOf0 BOUND_VARIABLE_1851 tptp.xT)) (tptp.sdtlseqdt0 BOUND_VARIABLE_1851 BOUND_VARIABLE_1817)) (tptp.aUpperBoundOfIn0 BOUND_VARIABLE_1817 tptp.xT _let_1))))))) (let ((_let_141 (AND_ELIM _let_136 :args _let_54))) (let ((_let_142 (_let_140))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 (tptp.cS1241 (tptp.szRzazndt0 tptp.xf) tptp.xf tptp.xT))) (tptp.sdtlseqdt0 tptp.xp W0))))) (let ((_let_145 (_let_144))) (let ((_let_146 (not _let_110))) (let ((_let_147 (AND_ELIM _let_74 :args (6)))) (let ((_let_148 (and _let_73 _let_109))) (let ((_let_149 (ASSUME :args (_let_109)))) (let ((_let_150 (APPLY_UF tptp.aElementOf0))) (let ((_let_151 (ASSUME :args (_let_73)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (AND_ELIM _let_74 :args (3)))) (let ((_let_154 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1589 $$unsorted)) (or (not (tptp.aFunction0 W0)) (not (tptp.aElementOf0 BOUND_VARIABLE_1589 (tptp.szDzozmdt0 W0))) (tptp.aElementOf0 (tptp.sdtlpdtrp0 W0 BOUND_VARIABLE_1589) (tptp.szRzazndt0 W0)))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (_let_154))) (let ((_let_157 (tptp.aElementOf0 tptp.xp _let_20))) (let ((_let_158 (and _let_73 _let_157))) (let ((_let_159 (ASSUME :args (_let_157)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (tptp.xp)) _let_152 :args _let_150) (TRUE_INTRO _let_159))) :args (_let_157 _let_73))) :args (_let_73 _let_157))) :args (true _let_158)) _let_147 (AND_ELIM _let_61 :args _let_135) :args (_let_67 false _let_73 false _let_157)))) (let ((_let_161 (AND_ELIM _let_74 :args _let_135))) (let ((_let_162 (tptp.aElementOf0 _let_1 _let_20))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_125 _let_163 _let_127))) (let ((_let_165 (or _let_117 _let_68 _let_162))) (let ((_let_166 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aElement0 W0)) (not (tptp.aElement0 W1)) (not (tptp.aElement0 W2)) (not (tptp.sdtlseqdt0 W0 W1)) (not (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (not _let_97))) (let ((_let_169 (_let_168))) (let ((_let_170 (_let_96))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_170)) :args _let_170)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_93))) (REFL :args (_let_94)) :args _let_134)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_95 0)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((not (and (or (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xP)) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 tptp.xf tptp.xp) W0))) _let_3) (or _let_93 _let_2))) SB_DEFAULT SBA_FIXPOINT))))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_98 0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_169)) :args _let_169)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_168) _let_97))) (REFL :args ((not _let_102))) :args _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_99 _let_132 _let_130 _let_128 _let_129 _let_131 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_1 _let_107 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_166))) _let_167 :args (_let_133 false _let_166)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_125 _let_127 _let_163 (not _let_164)))) _let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_117 _let_68 _let_162 (not _let_165)))) _let_153 _let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.xf tptp.xp QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_155 :args (_let_165 false _let_154)) :args (_let_162 false _let_23 false _let_67 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_20 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_138 :args (_let_164 false _let_137)) :args (_let_127 false _let_122 false _let_162 false _let_164)) (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_124 _let_123 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_20 _let_107 QUANTIFIERS_INST_ENUM)) :args _let_139)) _let_138 :args (_let_126 false _let_137)) _let_161 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_68 _let_120 _let_116 _let_119 (not _let_121)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_76)) _let_75 :args (_let_121 false _let_72)) _let_160 (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_116 _let_115 (not _let_118)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_156)) _let_155 :args (_let_118 false _let_154)) _let_153 (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_149 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_152 :args _let_150) (TRUE_INTRO _let_149))) :args (_let_109 _let_73))) :args (_let_73 _let_109))) :args (true _let_148)) _let_147 (REORDERING (CNF_AND_POS :args (_let_110 1)) :args ((or _let_108 _let_146))) (REORDERING (CNF_AND_POS :args (_let_110 0)) :args ((or _let_109 _let_146))) (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_101 _let_112 (not _let_113)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_145) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_145)) (AND_ELIM _let_61 :args (2)) :args (_let_113 false _let_144)) (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_101 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xf QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_142)) _let_141 :args (_let_111 false _let_140)) (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_101 _let_104 (not _let_106)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_138 :args (_let_106 false _let_137)) (AND_ELIM _let_136 :args _let_135) (CNF_OR_NEG :args (_let_102 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 0)) (CONG (REFL :args (_let_102)) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_100))) :args _let_134)) :args ((or _let_100 _let_102))) :args (_let_102 false _let_133 false _let_127 false _let_123 false _let_126 false _let_122 false _let_119 false _let_121 false _let_67 false _let_115 false _let_118 false _let_23 false _let_114 false _let_73 false _let_108 false _let_109 false _let_112 false _let_113 false _let_110 false _let_111 false _let_104 false _let_106 false _let_103 true _let_99 false _let_100)) :args (_let_97 false _let_102)) :args (_let_98 false _let_97)) :args ((not _let_95) false _let_98)) :args (_let_96 true _let_95)) :args (_let_94 true _let_93)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_92 0)) (CONG (REFL :args (_let_92)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_134)) :args ((or _let_33 _let_92))) _let_171 :args (_let_33 true _let_92)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_34 _let_82 (not _let_89)))) _let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args _let_63) :args _let_91)) (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_14)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_60 :args ((and _let_13 (forall ((W0 $$unsorted)) (or (not (tptp.aElementOf0 W0 tptp.xT)) (tptp.aElementOf0 W0 tptp.xS))) _let_12) SB_DEFAULT SBA_FIXPOINT)))) :args _let_54) :args (_let_89 false _let_90)) :args (_let_82 false _let_33 false _let_89)))) (let ((_let_174 (not _let_79))) (let ((_let_175 (or _let_83 _let_43))) (let ((_let_176 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 (tptp.cS1142 tptp.xf))) (tptp.aElementOf0 W2 (tptp.szRzazndt0 tptp.xf)))))) (let ((_let_177 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_20))) (let ((_let_178 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_15))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_177))) (let ((_let_181 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 _let_21))) (let ((_let_182 (and _let_181 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 (tptp.sdtlpdtrp0 tptp.xf SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51)) (tptp.aFixedPointOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 tptp.xf)))) (let ((_let_183 (or _let_179 _let_182))) (let ((_let_184 (not _let_177))) (let ((_let_185 (and _let_73 _let_184))) (let ((_let_186 (ASSUME :args (_let_184)))) (let ((_let_187 (not _let_176))) (let ((_let_188 (_let_187))) (let ((_let_189 (_let_176))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_83 _let_43 (not _let_175)))) _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_189) :args _let_63) :args _let_189)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_188)) :args _let_188)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_187) _let_176))) (REFL :args ((not _let_180))) :args _let_134)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_185)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_186 _let_151) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51)) _let_152 :args _let_150) (FALSE_INTRO _let_186))) :args (_let_184 _let_73))) :args (_let_73 _let_184))) :args (true _let_185)) (CONG (REFL :args ((not _let_73))) (MACRO_SR_PRED_INTRO :args ((= (not _let_184) _let_177))) (REFL :args ((not _let_181))) :args _let_134)) _let_147 (REORDERING (CNF_AND_POS :args (_let_182 0)) :args ((or _let_181 (not _let_182)))) (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_179 _let_182 (not _let_183)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87)) _let_86 :args (_let_183 false _let_85)) (CNF_OR_NEG :args (_let_180 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_180 0)) (CONG (REFL :args (_let_180)) (MACRO_SR_PRED_INTRO :args ((= (not _let_179) _let_178))) :args _let_134)) :args ((or _let_178 _let_180))) :args (_let_180 false _let_73 false _let_181 false _let_182 false _let_183 true _let_177 false _let_178)) :args (_let_176 false _let_180)) :args (_let_175 false _let_176)) :args (_let_43 false _let_82 false _let_175)))) (let ((_let_191 (and _let_73 _let_43))) (let ((_let_192 (ASSUME :args (_let_43)))) (let ((_let_193 (_let_42))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_193)) :args _let_193)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_40))) (REFL :args (_let_41)) :args _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_42 (not _let_45)))) _let_190 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_46 0)) :args ((or _let_45 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_46 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_68 _let_66 _let_70 _let_65 (not _let_71)))) _let_160 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_191)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_192 _let_151) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) _let_152 :args _let_150) (TRUE_INTRO _let_192))) :args (_let_43 _let_73))) :args (_let_73 _let_43))) :args (true _let_191)) _let_147 _let_190 :args (_let_69 false _let_73 false _let_43)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_65)))) (CONG (SYMM (ASSUME :args (_let_78))) (REFL :args (_let_1)) :args (APPLY_UF tptp.sdtlseqdt0)) (FALSE_INTRO (ASSUME :args (_let_174))))) :args (_let_174 _let_78 _let_65))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_79))) (REFL :args ((not _let_78))) (REFL :args (_let_80)) :args _let_134)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_92 1)) _let_171 :args (_let_174 true _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_78 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_81 (not _let_84)))) _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_87)) _let_86 :args (_let_84 false _let_85)) :args (_let_81 false _let_82 false _let_84)) :args (_let_78 false _let_81)) :args (_let_80 true _let_79 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 tptp.xp QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_76)) _let_75 :args (_let_71 false _let_72)) :args (_let_66 false _let_67 false _let_69 true _let_65 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_62) :args _let_63) :args _let_62)) (AND_ELIM _let_61 :args _let_50) :args (_let_48 false _let_49)) :args (_let_46 true _let_47 false _let_48)) :args (_let_45 false _let_46)) :args (_let_42 false _let_43 false _let_45)) :args (_let_41 true _let_40)))) (let ((_let_195 (not _let_36))) (let ((_let_196 (not _let_35))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 2)) :args ((or _let_35 _let_195))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_196))) _let_172 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 1)) _let_194 :args ((not _let_32) true _let_39)) :args (_let_196 false _let_33 true _let_32)) :args (_let_195 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_240 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_142)) _let_141 :args (_let_38 false _let_140)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_31))) :args _let_134)) :args ((or _let_31 _let_39))) _let_194 :args (_let_31 true _let_39)) :args (false true _let_36 false _let_38 false _let_31)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) _let_29 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (= (tptp.isEmpty0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) true))) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aElement0 W0) (tptp.aElement0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) _let_28 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aLowerBoundOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (tptp.sdtlseqdt0 W2 W3)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aUpperBoundOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (forall ((W3 $$unsorted)) (=> (tptp.aElementOf0 W3 W1) (tptp.sdtlseqdt0 W3 W2)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aInfimumOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (tptp.aLowerBoundOfIn0 W2 W1 W0) (forall ((W3 $$unsorted)) (=> (tptp.aLowerBoundOfIn0 W3 W1 W0) (tptp.sdtlseqdt0 W3 W2)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted)) (= (tptp.aSupremumOfIn0 W2 W1 W0) (and (tptp.aElementOf0 W2 W0) (tptp.aUpperBoundOfIn0 W2 W1 W0) (forall ((W3 $$unsorted)) (=> (tptp.aUpperBoundOfIn0 W3 W1 W0) (tptp.sdtlseqdt0 W2 W3)))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aSupremumOfIn0 W2 W1 W0) (tptp.aSupremumOfIn0 W3 W1 W0)) (= W2 W3))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (forall ((W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aInfimumOfIn0 W2 W1 W0) (tptp.aInfimumOfIn0 W3 W1 W0)) (= W2 W3))))))) (forall ((W0 $$unsorted)) (= (tptp.aCompleteLattice0 W0) (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (exists ((W2 $$unsorted)) (and (tptp.aInfimumOfIn0 W2 W1 W0) (exists ((W3 $$unsorted)) (tptp.aSupremumOfIn0 W3 W1 W0))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (tptp.aSet0 (tptp.szDzozmdt0 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (tptp.aSet0 (tptp.szRzazndt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szRzazndt0 W0))) (=> (and (tptp.aFunction0 W0) (tptp.aSet0 W1)) (= (tptp.isOn0 W0 W1) (and (= (tptp.szDzozmdt0 W0) _let_1) (= _let_1 W1)))))) _let_27 (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (forall ((W1 $$unsorted)) (= (tptp.aFixedPointOf0 W1 W0) (and (tptp.aElementOf0 W1 (tptp.szDzozmdt0 W0)) (= (tptp.sdtlpdtrp0 W0 W1) W1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aFunction0 W0) (= (tptp.isMonotone0 W0) (forall ((W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.szDzozmdt0 W0))) (=> (and (tptp.aElementOf0 W1 _let_1) (tptp.aElementOf0 W2 _let_1)) (=> (tptp.sdtlseqdt0 W1 W2) (tptp.sdtlseqdt0 (tptp.sdtlpdtrp0 W0 W1) (tptp.sdtlpdtrp0 W0 W2))))))))) _let_26 _let_18 _let_14 _let_11 _let_8 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.45/12.64 )
% 12.45/12.64 % SZS output end Proof for LAT386+4
% 12.45/12.64 % cvc5---1.0.5 exiting
% 12.45/12.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------