TSTP Solution File: NLP266_4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 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 09:41:04 EDT 2023
% Result : Theorem 20.90s 21.17s
% Output : Proof 20.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP266_4 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n026.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 13:14:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 20.90/21.17 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jk27O5Cj7T/cvc5---1.0.5_24326.p...
% 20.90/21.17 ------- get file name : TPTP file name is NLP266_4
% 20.90/21.17 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24326.smt2...
% 20.90/21.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.90/21.17 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.90/21.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.90/21.17 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.90/21.17 % SZS status Theorem for NLP266_4
% 20.90/21.17 % SZS output start Proof for NLP266_4
% 20.90/21.17 (
% 20.90/21.17 (let ((_let_1 (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((I $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W I) (exists ((B $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W B) (exists ((A $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W A) (exists ((S $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W S) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (and (tptp.userid W0 tptp.u I) (tptp.entry_box W0 B) (tptp.number W0 B tptp.one)))) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (forall ((S2 $$unsorted)) (=> (|tptp.'$ki_exists_in_world_$i'| W0 S2) (=> (tptp.do W0 S A S2) (tptp.in W0 I B S2))))))))))))))))))) (let ((_let_2 (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((S $$unsorted)) (=> (|tptp.'$ki_exists_in_world_$i'| W S) (forall ((I $$unsorted)) (=> (|tptp.'$ki_exists_in_world_$i'| W I) (forall ((B $$unsorted)) (=> (|tptp.'$ki_exists_in_world_$i'| W B) (=> (and (tptp.string W I) (tptp.entry_box W B)) (exists ((A $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W A) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (forall ((S2 $$unsorted)) (=> (|tptp.'$ki_exists_in_world_$i'| W0 S2) (=> (tptp.do W0 S A S2) (tptp.in W0 I B S2))))))))))))))))))) (let ((_let_3 (exists ((B $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| B) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (and (tptp.entry_box W B) (tptp.number W B tptp.one)))))))) (let ((_let_4 (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((I $$unsorted)) (and (|tptp.'$ki_exists_in_world_$i'| W I) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (and (tptp.userid W0 tptp.u I) (tptp.string W0 I)))))))))) (let ((_let_5 (forall ((W |tptp.'$ki_world'|) (X $$unsorted)) (|tptp.'$ki_exists_in_world_$i'| W X)))) (let ((_let_6 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|) (U |tptp.'$ki_world'|)) (=> (and (|tptp.'$ki_accessible'| W V) (|tptp.'$ki_accessible'| V U)) (|tptp.'$ki_accessible'| W U))))) (let ((_let_7 (forall ((W |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| W W)))) (let ((_let_8 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|) (U |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W V)) (not (|tptp.'$ki_accessible'| V U)) (|tptp.'$ki_accessible'| W U))))) (let ((_let_9 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_10 (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_11 (not _let_10))) (let ((_let_12 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_18 (tptp.do SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_19 (not _let_18))) (let ((_let_20 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_9))) (let ((_let_23 (or _let_22 _let_21 _let_19 _let_17))) (let ((_let_24 (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_791 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_791)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 BOUND_VARIABLE_791)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_791))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) _let_25))) (let ((_let_27 (forall ((A $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| A)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_791 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_791)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 A BOUND_VARIABLE_791)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_791)))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (not _let_27))) (let ((_let_30 (tptp.entry_box |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (not _let_30))) (let ((_let_32 (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.string |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_35 (not _let_34))) (let ((_let_36 (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_37 (not _let_36))) (let ((_let_38 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_33 _let_37 _let_35 _let_33 _let_31 _let_29))) (let ((_let_41 (forall ((W |tptp.'$ki_world'|) (BOUND_VARIABLE_891 $$unsorted) (BOUND_VARIABLE_889 $$unsorted) (BOUND_VARIABLE_887 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_887)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_891)) (not (tptp.string W BOUND_VARIABLE_891)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_889)) (not (tptp.entry_box W BOUND_VARIABLE_889)) (not (forall ((A $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| W A)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_791 $$unsorted)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_791)) (not (tptp.do W0 BOUND_VARIABLE_887 A BOUND_VARIABLE_791)) (tptp.in W0 BOUND_VARIABLE_891 BOUND_VARIABLE_889 BOUND_VARIABLE_791))))))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (and (tptp.userid |tptp.'$ki_local_world'| tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) _let_34))) (let ((_let_44 (or _let_39 _let_43))) (let ((_let_45 (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (and (tptp.userid W0 tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.string W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_37 _let_46))) (let ((_let_48 (forall ((I $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| I)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (and (tptp.userid W0 tptp.u I) (tptp.string W0 I))))))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (not _let_48))) (let ((_let_51 (or _let_39 _let_50))) (let ((_let_52 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((I $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| W I)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (and (tptp.userid W0 tptp.u I) (tptp.string W0 I)))))))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (|tptp.'$ki_local_world'| QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (|tptp.'$ki_local_world'| QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args _let_57) :args _let_55)) _let_56 :args (_let_38 false _let_7)))) (let ((_let_59 (or))) (let ((_let_60 (_let_50))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_48))) (REFL :args (_let_49)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_39 _let_50 (not _let_51)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args _let_54) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_50 false _let_38 false _let_51)) :args (_let_49 true _let_48)))) (let ((_let_62 (REFL :args (_let_47)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_59)) :args ((or _let_45 _let_47))) _let_61 :args (_let_45 true _let_47)))) (let ((_let_64 (_let_45))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (and _let_30 (tptp.number |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_67 (or _let_39 _let_66))) (let ((_let_68 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (and (tptp.entry_box W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.number W SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_33 _let_69))) (let ((_let_71 (forall ((B $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| B)) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (and (tptp.entry_box W B) (tptp.number W B tptp.one))))))))) (let ((_let_72 (not _let_70))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (not _let_71))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_73) :args (_let_74))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_71))) (REFL :args (_let_72)) :args _let_59)) _let_73 :args (_let_72 true _let_71)))) (let ((_let_76 (REFL :args (_let_70)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_59)) :args ((or _let_68 _let_70))) _let_75 :args (_let_68 true _let_70)))) (let ((_let_78 (_let_68))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (_let_29))) (let ((_let_81 (_let_24))) (let ((_let_82 (or _let_11 _let_21 _let_19 _let_17))) (let ((_let_83 (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_932 $$unsorted)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_932)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 BOUND_VARIABLE_932)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_932))))) (let ((_let_84 (not _let_82))) (let ((_let_85 (not _let_83))) (let ((_let_86 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_87 (not _let_86))) (let ((_let_88 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_89 (not _let_88))) (let ((_let_90 (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (and (tptp.userid W0 tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) (tptp.entry_box W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.number W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))))) (let ((_let_91 (not _let_90))) (let ((_let_92 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_87 _let_91 _let_89 _let_87 _let_85))) (let ((_let_95 (forall ((I $$unsorted) (BOUND_VARIABLE_1027 $$unsorted) (BOUND_VARIABLE_1025 $$unsorted) (BOUND_VARIABLE_1023 $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 I)) (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1023)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (and (tptp.userid W0 tptp.u I) (tptp.entry_box W0 BOUND_VARIABLE_1023) (tptp.number W0 BOUND_VARIABLE_1023 tptp.one))))) (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1027)) (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1025)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_932 $$unsorted)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_932)) (not (tptp.do W0 BOUND_VARIABLE_1025 BOUND_VARIABLE_1027 BOUND_VARIABLE_932)) (tptp.in W0 I BOUND_VARIABLE_1023 BOUND_VARIABLE_932)))))))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_13 _let_96))) (let ((_let_98 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((I $$unsorted) (BOUND_VARIABLE_1027 $$unsorted) (BOUND_VARIABLE_1025 $$unsorted) (BOUND_VARIABLE_1023 $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| W I)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1023)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (and (tptp.userid W0 tptp.u I) (tptp.entry_box W0 BOUND_VARIABLE_1023) (tptp.number W0 BOUND_VARIABLE_1023 tptp.one))))) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1027)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1025)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_932 $$unsorted)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_932)) (not (tptp.do W0 BOUND_VARIABLE_1025 BOUND_VARIABLE_1027 BOUND_VARIABLE_932)) (tptp.in W0 I BOUND_VARIABLE_1023 BOUND_VARIABLE_932))))))))))) (let ((_let_99 (not _let_97))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (not _let_98))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_100) :args (_let_101))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_98))) (REFL :args (_let_99)) :args _let_59)) _let_100 :args (_let_99 true _let_98)))) (let ((_let_103 (REFL :args (_let_97)))) (let ((_let_104 (_let_95))) (let ((_let_105 (_let_5))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (tptp.number SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_108 (tptp.entry_box SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (tptp.userid SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_110 (and _let_109 _let_108 _let_107))) (let ((_let_111 (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110))) (let ((_let_114 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_115 (or _let_13 _let_112 _let_114))) (let ((_let_116 (and _let_109 (tptp.string SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)))) (let ((_let_117 (not _let_114))) (let ((_let_118 (or _let_117 _let_116))) (let ((_let_119 (and _let_108 _let_107))) (let ((_let_120 (or _let_117 _let_119))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_97 0)) (CONG _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_59)) :args ((or _let_12 _let_97))) _let_102 :args (_let_12 true _let_97)))) (let ((_let_122 (_let_8))) (let ((_let_123 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_124 (not _let_119))) (let ((_let_125 (_let_91))) (let ((_let_126 (_let_85))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_126)) :args _let_126)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_83))) (REFL :args (_let_84)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_94))) :args ((or _let_87 _let_93 _let_91 _let_89 _let_85 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_86 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_92 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_125)) :args _let_125)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_90))) (REFL :args ((not _let_113))) :args _let_59)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_110)) (REORDERING (CNF_AND_POS :args (_let_119 1)) :args ((or _let_107 _let_124))) (REORDERING (CNF_AND_POS :args (_let_119 0)) :args ((or _let_108 _let_124))) (REORDERING (CNF_AND_POS :args (_let_116 0)) :args ((or _let_109 (not _let_116)))) (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_117 _let_119 (not _let_120)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_123) :args _let_78)) _let_77 :args (_let_120 false _let_68)) (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_116 (not _let_118)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_123) :args _let_64)) _let_63 :args (_let_118 false _let_45)) (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_13 _let_112 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) _let_15 :args (_let_115 false _let_8)) _let_121 (CNF_OR_NEG :args (_let_113 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 0)) (CONG (REFL :args (_let_113)) (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_59)) :args ((or _let_111 _let_113))) :args (_let_113 false _let_107 false _let_108 false _let_109 false _let_119 false _let_120 false _let_116 false _let_118 false _let_114 false _let_115 false _let_12 true _let_110 false _let_111)) :args (_let_90 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_106 :args (_let_88 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_104) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_97 1)) (CONG _let_103 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_59)) :args ((or _let_95 _let_97))) _let_102 :args (_let_95 true _let_97)) :args (_let_94 false _let_95)) :args (_let_85 false _let_86 false _let_92 false _let_90 false _let_88 false _let_94)) :args (_let_84 true _let_83)))) (let ((_let_128 (REFL :args (_let_82)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 _let_9 _let_16))) _let_121 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_82 0)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_59)) :args ((or _let_10 _let_82))) _let_127 :args (_let_10 true _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_19 _let_17 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_82 1)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_59)) :args ((or _let_20 _let_82))) _let_127 :args (_let_20 true _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_82 2)) (CONG _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_59)) :args ((or _let_18 _let_82))) _let_127 :args (_let_18 true _let_82)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_82 3)) _let_127 :args ((not _let_17) true _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_81) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_59)) :args ((or _let_24 _let_26))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_27))) (REFL :args (_let_28)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_40))) :args ((or _let_33 _let_39 _let_31 _let_37 _let_35 _let_29 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_70 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_59)) :args ((or _let_32 _let_70))) _let_75 :args (_let_32 true _let_70)) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_66 0)) :args ((or _let_30 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_39 _let_66 (not _let_67)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args _let_54) :args _let_78)) _let_77 :args (_let_67 false _let_68)) :args (_let_66 false _let_38 false _let_67)) :args (_let_30 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_59)) :args ((or _let_36 _let_47))) _let_61 :args (_let_36 true _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_34 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_39 _let_43 (not _let_44)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args _let_57) :args _let_64)) _let_63 :args (_let_44 false _let_45)) :args (_let_43 false _let_38 false _let_44)) :args (_let_34 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_29 false _let_32 false _let_38 false _let_30 false _let_36 false _let_34 false _let_40)) :args (_let_28 true _let_27)) :args (_let_24 true _let_26)) :args (_let_23 false _let_24)) :args (_let_22 false _let_20 false _let_18 true _let_17 false _let_23)) :args (_let_16 false _let_12 false _let_10 true _let_9)) _let_15 :args (false true _let_14 false _let_8)) :args (_let_7 _let_6 _let_5 (forall ((W |tptp.'$ki_world'|)) (exists ((X $$unsorted)) (|tptp.'$ki_exists_in_world_$i'| W X))) _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.90/21.17 )
% 20.90/21.17 % SZS output end Proof for NLP266_4
% 20.90/21.17 % cvc5---1.0.5 exiting
% 20.90/21.18 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------