TSTP Solution File: NLP266_23 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 09:41:03 EDT 2023

% Result   : Theorem 20.95s 21.24s
% Output   : Proof 20.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Thu Aug 24 12:06:32 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 20.95/21.24  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qeq1r0AEcz/cvc5---1.0.5_12695.p...
% 20.95/21.24  ------- get file name : TPTP file name is NLP266_23
% 20.95/21.24  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12695.smt2...
% 20.95/21.24  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.95/21.24  --- Run --no-e-matching --full-saturate-quant at 5...
% 20.95/21.24  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.95/21.24  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.95/21.24  % SZS status Theorem for NLP266_23
% 20.95/21.24  % SZS output start Proof for NLP266_23
% 20.95/21.24  (
% 20.95/21.24  (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 $$unsorted)) (|tptp.'$ki_exists_in_world_$i'| W X)))) (let ((_let_6 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| W V)))) (let ((_let_7 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_8 (_let_5))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_916 $$unsorted)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_916)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 BOUND_VARIABLE_916)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_916))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_7))) (let ((_let_15 (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (and (tptp.userid W0 tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) (tptp.entry_box W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.number W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_13 _let_16 _let_14 _let_13 _let_11))) (let ((_let_20 (forall ((I $$unsorted) (BOUND_VARIABLE_1011 $$unsorted) (BOUND_VARIABLE_1009 $$unsorted) (BOUND_VARIABLE_1007 $$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_1007)) (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_1007) (tptp.number W0 BOUND_VARIABLE_1007 tptp.one))))) (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1011)) (not (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1009)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_916 $$unsorted)) (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_916)) (not (tptp.do W0 BOUND_VARIABLE_1009 BOUND_VARIABLE_1011 BOUND_VARIABLE_916)) (tptp.in W0 I BOUND_VARIABLE_1007 BOUND_VARIABLE_916)))))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_21))) (let ((_let_23 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((I $$unsorted) (BOUND_VARIABLE_1011 $$unsorted) (BOUND_VARIABLE_1009 $$unsorted) (BOUND_VARIABLE_1007 $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| W I)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1007)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (and (tptp.userid W0 tptp.u I) (tptp.entry_box W0 BOUND_VARIABLE_1007) (tptp.number W0 BOUND_VARIABLE_1007 tptp.one))))) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1011)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_1009)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_916 $$unsorted)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_916)) (not (tptp.do W0 BOUND_VARIABLE_1009 BOUND_VARIABLE_1011 BOUND_VARIABLE_916)) (tptp.in W0 I BOUND_VARIABLE_1007 BOUND_VARIABLE_916))))))))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (_let_20))) (let ((_let_29 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_30 (tptp.do SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_31 (not _let_30))) (let ((_let_32 (|tptp.'$ki_exists_in_world_$i'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) _let_33 _let_31 _let_29))) (let ((_let_35 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_33 _let_31 _let_29))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_39 (_let_6))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_775 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_775)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 BOUND_VARIABLE_775)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_775))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) _let_42))) (let ((_let_44 (forall ((A $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| A)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_775 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_775)) (not (tptp.do W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 A BOUND_VARIABLE_775)) (tptp.in W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_775)))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (not _let_44))) (let ((_let_47 (tptp.entry_box |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (not _let_47))) (let ((_let_49 (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.string |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_52 (not _let_51))) (let ((_let_53 (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_54 (not _let_53))) (let ((_let_55 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_50 _let_54 _let_52 _let_50 _let_48 _let_46))) (let ((_let_58 (forall ((W |tptp.'$ki_world'|) (BOUND_VARIABLE_875 $$unsorted) (BOUND_VARIABLE_873 $$unsorted) (BOUND_VARIABLE_871 $$unsorted)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_871)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_875)) (not (tptp.string W BOUND_VARIABLE_875)) (not (|tptp.'$ki_exists_in_world_$i'| W BOUND_VARIABLE_873)) (not (tptp.entry_box W BOUND_VARIABLE_873)) (not (forall ((A $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| W A)) (not (forall ((W0 |tptp.'$ki_world'|) (BOUND_VARIABLE_775 $$unsorted)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (|tptp.'$ki_exists_in_world_$i'| W0 BOUND_VARIABLE_775)) (not (tptp.do W0 BOUND_VARIABLE_871 A BOUND_VARIABLE_775)) (tptp.in W0 BOUND_VARIABLE_875 BOUND_VARIABLE_873 BOUND_VARIABLE_775))))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (and (tptp.userid |tptp.'$ki_local_world'| tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) _let_51))) (let ((_let_61 (or _let_56 _let_60))) (let ((_let_62 (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_16) (tptp.string W0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_54 _let_63))) (let ((_let_65 (forall ((I $$unsorted)) (or (not (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| I)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W0)) (and (tptp.userid W0 tptp.u I) (tptp.string W0 I))))))))) (let ((_let_66 (not _let_64))) (let ((_let_67 (not _let_65))) (let ((_let_68 (or _let_56 _let_67))) (let ((_let_69 (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((I $$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_70 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (|tptp.'$ki_local_world'| QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (|tptp.'$ki_local_world'| |tptp.'$ki_local_world'| QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_55 false _let_6)))) (let ((_let_73 (_let_67))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_65))) (REFL :args (_let_66)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_56 _let_67 (not _let_68)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_71) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 false _let_55 false _let_68)) :args (_let_66 true _let_65)))) (let ((_let_75 (REFL :args (_let_64)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_62))) :args _let_26)) :args ((or _let_62 _let_64))) _let_74 :args (_let_62 true _let_64)))) (let ((_let_77 (_let_62))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (and _let_47 (tptp.number |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_80 (or _let_56 _let_79))) (let ((_let_81 (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_82 (not _let_81))) (let ((_let_83 (or _let_50 _let_82))) (let ((_let_84 (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_85 (not _let_83))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (not _let_84))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_86) :args (_let_87))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_84))) (REFL :args (_let_85)) :args _let_26)) _let_86 :args (_let_85 true _let_84)))) (let ((_let_89 (REFL :args (_let_83)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_81))) :args _let_26)) :args ((or _let_81 _let_83))) _let_88 :args (_let_81 true _let_83)))) (let ((_let_91 (_let_81))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (_let_46))) (let ((_let_94 (_let_41))) (let ((_let_95 (_let_11))) (let ((_let_96 (tptp.number SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_97 (tptp.entry_box SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_98 (tptp.userid SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 tptp.u SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_99 (and _let_98 _let_97 _let_96))) (let ((_let_100 (or (not (|tptp.'$ki_accessible'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) _let_99))) (let ((_let_101 (and _let_97 _let_96))) (let ((_let_102 (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_102 false _let_6)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 (not _let_104)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_105) :args _let_91)) _let_90 :args (_let_104 false _let_81)) :args (_let_101 false _let_102 false _let_104)))) (let ((_let_108 (not _let_101))) (let ((_let_109 (and _let_98 (tptp.string SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_110 (or _let_103 _let_109))) (let ((_let_111 (_let_16))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_19))) :args ((or _let_13 _let_18 _let_16 _let_14 _let_11 (not _let_19)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_8)) _let_9 :args (_let_12 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_8)) _let_9 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) (REFL :args ((not _let_100))) :args _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_100 1)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_98 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_103 _let_109 (not _let_110)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_105) :args _let_77)) _let_76 :args (_let_110 false _let_62)) :args (_let_109 false _let_102 false _let_110)) :args (_let_98 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 0)) :args ((or _let_97 _let_108))) _let_107 :args (_let_97 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_101 1)) :args ((or _let_96 _let_108))) _let_107 :args (_let_96 false _let_101)) :args (_let_99 false _let_98 false _let_97 false _let_96)) :args (_let_100 false _let_99)) :args (_let_15 false _let_100)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_95)) :args _let_95)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) (REFL :args ((not _let_34))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_33 _let_31 _let_29 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_94) :args _let_38) :args _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG (REFL :args (_let_43)) (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_26)) :args ((or _let_41 _let_43))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_93)) :args _let_93)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_44))) (REFL :args (_let_45)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_57))) :args ((or _let_50 _let_56 _let_48 _let_54 _let_52 _let_46 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_83 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_26)) :args ((or _let_49 _let_83))) _let_88 :args (_let_49 true _let_83)) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 0)) :args ((or _let_47 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_56 _let_79 (not _let_80)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_71) :args _let_91)) _let_90 :args (_let_80 false _let_81)) :args (_let_79 false _let_55 false _let_80)) :args (_let_47 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_64 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_26)) :args ((or _let_53 _let_64))) _let_74 :args (_let_53 true _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_60 1)) :args ((or _let_51 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_56 _let_60 (not _let_61)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (|tptp.'$ki_local_world'| QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_76 :args (_let_61 false _let_62)) :args (_let_60 false _let_55 false _let_61)) :args (_let_51 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_58))) _let_59 :args (_let_57 false _let_58)) :args (_let_46 false _let_49 false _let_55 false _let_47 false _let_53 false _let_51 false _let_57)) :args (_let_45 true _let_44)) :args (_let_41 true _let_43)) :args (_let_37 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (|tptp.'$ki_local_world'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args (_let_35 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args _let_38) :args _let_8)) _let_9 :args (_let_32 false _let_5)) (CNF_OR_NEG :args (_let_34 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 2)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_26)) :args ((or _let_30 _let_34))) :args (_let_34 false _let_37 false _let_35 false _let_32 true _let_29 false _let_30)) :args (_let_10 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_26)) :args ((or _let_20 _let_22))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)) :args (_let_20 true _let_22)) :args (_let_19 false _let_20)) :args (_let_14 false _let_12 false _let_17 false _let_15 false _let_10 false _let_19)) _let_9 :args (false true _let_7 false _let_5)) :args (_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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.95/21.24  )
% 20.95/21.24  % SZS output end Proof for NLP266_23
% 20.95/21.24  % cvc5---1.0.5 exiting
% 20.95/21.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------