TSTP Solution File: SWV403+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV403+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 21:51:00 EDT 2023
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV403+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.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 : Tue Aug 29 04:01:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KdBReZYz40/cvc5---1.0.5_15045.p...
% 0.20/0.54 ------- get file name : TPTP file name is SWV403+1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15045.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54 % SZS status Theorem for SWV403+1
% 0.20/0.54 % SZS output start Proof for SWV403+1
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (not (forall ((U $$unsorted)) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.pair_in_list U V W) (tptp.strictly_less_than W X)) (tptp.pair_in_list (tptp.update_slb U X) V X))) (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (tptp.insert_slb U (tptp.pair X2 X3)))) (=> (and (tptp.pair_in_list _let_1 Y Z) (tptp.strictly_less_than Z X1)) (tptp.pair_in_list (tptp.update_slb _let_1 X1) Y X1))))))))) (let ((_let_2 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (tptp.less_than W X) (= (tptp.update_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.update_slb U W) _let_1))))))) (let ((_let_3 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (tptp.strictly_less_than X W) (= (tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.insert_slb (tptp.update_slb U W) (tptp.pair V W))))))) (let ((_let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y) (or (tptp.pair_in_list U W Y) (and (= V W) (= X Y))))))) (let ((_let_5 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.strictly_less_than U V) (and (tptp.less_than U V) (not (tptp.less_than V U))))))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.less_than U V) (tptp.less_than V U))))) (let ((_let_7 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_14 (tptp.pair_in_list _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (= _let_14 _let_11))) (let ((_let_16 (_let_4))) (let ((_let_17 (ASSUME :args _let_16))) (let ((_let_18 ((tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y)))) (let ((_let_19 (tptp.update_slb _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (tptp.pair_in_list _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (not _let_14))) (let ((_let_24 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V W)) (not (tptp.strictly_less_than W X)) (tptp.pair_in_list (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) V X))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_22 _let_20))) (let ((_let_27 (forall ((U $$unsorted) (BOUND_VARIABLE_851 $$unsorted) (BOUND_VARIABLE_849 $$unsorted) (BOUND_VARIABLE_847 $$unsorted) (BOUND_VARIABLE_845 $$unsorted) (BOUND_VARIABLE_843 $$unsorted)) (let ((_let_1 (tptp.insert_slb U (tptp.pair BOUND_VARIABLE_849 BOUND_VARIABLE_851)))) (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.pair_in_list U V W)) (not (tptp.strictly_less_than W X)) (tptp.pair_in_list (tptp.update_slb U X) V X)))) (not (tptp.pair_in_list _let_1 BOUND_VARIABLE_843 BOUND_VARIABLE_845)) (not (tptp.strictly_less_than BOUND_VARIABLE_845 BOUND_VARIABLE_847)) (tptp.pair_in_list (tptp.update_slb _let_1 BOUND_VARIABLE_847) BOUND_VARIABLE_843 BOUND_VARIABLE_847)))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (REFL :args (_let_26)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_15)) :args ((or _let_23 _let_11 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_14))) :args _let_30)) :args ((or _let_14 _let_26))) _let_32 :args (_let_14 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_18)) :args _let_16)) _let_17 :args (_let_15 false _let_4)) :args (_let_11 false _let_14 false _let_15)))) (let ((_let_35 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_36 (tptp.pair_in_list _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (not _let_10))) (let ((_let_38 (or _let_37 _let_22 _let_36))) (let ((_let_39 (_let_24))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V W) false)) (not (= (tptp.strictly_less_than W X) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_30)) :args ((or _let_24 _let_26))) _let_32 :args (_let_24 true _let_26)) :args (_let_38 false _let_24)))) (let ((_let_41 (or _let_36 _let_8))) (let ((_let_42 (not _let_36))) (let ((_let_43 (tptp.insert_slb _let_35 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_44 (tptp.pair_in_list _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_45 (= _let_44 _let_41))) (let ((_let_46 (not _let_41))) (let ((_let_47 (= _let_19 _let_43))) (let ((_let_48 (not _let_44))) (let ((_let_49 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_47))) (let ((_let_52 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.strictly_less_than X W)) (= (tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.insert_slb (tptp.update_slb U W) (tptp.pair V W))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_57 (and _let_56 _let_55))) (let ((_let_58 (= _let_49 _let_57))) (let ((_let_59 (_let_5))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.strictly_less_than U V)))) (let ((_let_62 (or _let_54 _let_56))) (let ((_let_63 (_let_6))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.insert_slb _let_35 _let_12))) (let ((_let_66 (= _let_19 _let_65))) (let ((_let_67 (or _let_55 _let_66))) (let ((_let_68 (tptp.pair_in_list _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_69 (or _let_36 (and _let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_70 (= _let_68 _let_69))) (let ((_let_71 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_72 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (or (not (tptp.less_than W X)) (= (tptp.update_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.update_slb U W) _let_1))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (not _let_20))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 3)) _let_32 :args (_let_74 true _let_26)))) (let ((_let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_20))))) (let ((_let_77 (and _let_74 _let_66))) (let ((_let_78 (_let_74 _let_66))) (let ((_let_79 (ASSUME :args (_let_74)))) (let ((_let_80 (FALSE_INTRO _let_79))) (let ((_let_81 (APPLY_UF tptp.pair_in_list))) (let ((_let_82 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_83 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_84 (ASSUME :args (_let_66)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_30)) :args ((or _let_21 _let_26))) _let_32 :args (_let_21 true _let_26)))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_22 _let_37 _let_36 (not _let_38)))))) (let ((_let_87 (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_9 (not _let_11)))))) (let ((_let_88 (not _let_9))) (let ((_let_89 (not _let_71))) (let ((_let_90 (and (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_89))) (let ((_let_91 (= _let_21 _let_90))) (let ((_let_92 (not _let_7))) (let ((_let_93 (ASSUME :args (_let_54)))) (let ((_let_94 (ASSUME :args (_let_7)))) (let ((_let_95 (ASSUME :args (_let_89)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_93 _let_94 _let_95) :args (_let_89 _let_7 _let_54)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_95)) (CONG _let_82 (SYMM _let_94) :args (APPLY_UF tptp.less_than)) (TRUE_INTRO _let_93))) :args (_let_54 _let_7 _let_89)) :args ((not (and _let_89 _let_7 _let_54)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_71))) (REFL :args (_let_92)) (REFL :args (_let_55)) :args _let_30)) :args ((or _let_71 _let_55 _let_92))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 1)) :args ((or _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or _let_22 _let_90 (not _let_91)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_91 false _let_5)) :args (_let_90 false _let_21 false _let_91)) :args (_let_89 false _let_90)) (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_88))) _let_87 _let_34 _let_86 _let_40 _let_85 (REORDERING (CNF_OR_NEG :args (_let_69 0)) :args ((or _let_42 _let_69))) (REORDERING (CNF_EQUIV_POS2 :args (_let_70)) :args ((or _let_68 (not _let_69) (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_18)) :args _let_16)) _let_17 :args (_let_70 false _let_4)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_84) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_84) _let_83 _let_82 :args _let_81) _let_80)) :args _let_78)) :args _let_78)) :args (true _let_77)) (CONG _let_76 (REFL :args ((not _let_66))) (REFL :args ((not _let_68))) :args _let_30)) _let_75 (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_55 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args (_let_72))) _let_73 :args (_let_67 false _let_72)) :args (_let_55 true _let_71 false _let_7 false _let_9 false _let_11 true _let_10 false _let_38 false _let_21 true _let_36 true _let_69 false _let_70 true _let_68 true _let_20 false _let_66 false _let_67)))) (let ((_let_97 (not _let_56))) (let ((_let_98 (_let_57))) (let ((_let_99 (and _let_74 _let_47))) (let ((_let_100 (_let_74 _let_47))) (let ((_let_101 (ASSUME :args (_let_47)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_45)) :args ((or _let_44 _let_46 (not _let_45)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_99)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_101) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_101) _let_83 _let_82 :args _let_81) _let_80)) :args _let_100)) :args _let_100)) :args (true _let_99)) (CONG _let_76 (REFL :args ((not _let_47))) (REFL :args (_let_48)) :args _let_30)) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_47 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_58)) :args ((or _let_49 (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_98) (CONG (REFL :args _let_98) (REFL :args (_let_97)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_30)) :args ((or _let_54 _let_57 _let_97))) _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_54 _let_56 (not _let_62)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_than U V) true))))) :args _let_63)) _let_64 :args (_let_62 false _let_6)) :args (_let_56 true _let_54 false _let_62)) :args (_let_57 true _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_58 false _let_5)) :args (_let_49 false _let_57 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.update_slb (tptp.insert_slb U (tptp.pair V X)) W)))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_47 false _let_49 false _let_51)) :args (_let_48 true _let_20 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_18)) :args _let_16))) _let_17 :args (_let_45 false _let_4)) :args (_let_46 true _let_44 false _let_45)))) (let ((_let_103 (not _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_88))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_41 1)) :args ((or _let_103 _let_41))) _let_102 :args (_let_103 true _let_41)) :args (_let_88 true _let_8)) (MACRO_RESOLUTION_TRUST _let_86 _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_41 0)) :args ((or _let_42 _let_41))) _let_102 :args (_let_42 true _let_41)) _let_40 :args (_let_37 false _let_21 true _let_36 false _let_38)) _let_34 :args (false true _let_9 true _let_10 false _let_11)) :args ((forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.less_than U V) (tptp.less_than V W)) (tptp.less_than U W))) _let_6 (forall ((U $$unsorted)) (tptp.less_than U U)) _let_5 (forall ((U $$unsorted)) (tptp.less_than tptp.bottom U)) (not (tptp.isnonempty_slb tptp.create_slb)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (tptp.isnonempty_slb (tptp.insert_slb U (tptp.pair V W)))) (forall ((U $$unsorted)) (not (tptp.contains_slb tptp.create_slb U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (= (tptp.contains_slb (tptp.insert_slb U (tptp.pair V X)) W) (or (tptp.contains_slb U W) (= V W)))) (forall ((U $$unsorted) (V $$unsorted)) (not (tptp.pair_in_list tptp.create_slb U V))) _let_4 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.remove_slb (tptp.insert_slb U (tptp.pair V W)) V) U)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.pair V X))) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.remove_slb (tptp.insert_slb U _let_1) W) (tptp.insert_slb (tptp.remove_slb U W) _let_1))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V W)) V) W)) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (not (= V W)) (tptp.contains_slb U W)) (= (tptp.lookup_slb (tptp.insert_slb U (tptp.pair V X)) W) (tptp.lookup_slb U W)))) (forall ((U $$unsorted)) (= (tptp.update_slb tptp.create_slb U) tptp.create_slb)) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SWV403+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------