%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV401+1 : TPTP v8.1.2. Released v3.3.0.
% 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 21:51:00 EDT 2023

% Result   : Theorem 0.22s 0.57s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV401+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 03:45:35 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.57  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HjFaUTsJbU/cvc5---1.0.5_1623.p...
% 0.22/0.57  ------- get file name : TPTP file name is SWV401+1
% 0.22/0.57  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1623.smt2...
% 0.22/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.57  % SZS status Theorem for SWV401+1
% 0.22/0.57  % SZS output start Proof for SWV401+1
% 0.22/0.57  (
% 0.22/0.57  (let ((_let_1 (not (forall ((U $$unsorted)) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (=> (and (tptp.pair_in_list U V W) (tptp.less_than X W)) (tptp.pair_in_list (tptp.update_slb U X) V W))) (forall ((Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (let ((_let_1 (tptp.insert_slb U (tptp.pair X2 X3)))) (=> (and (tptp.pair_in_list _let_1 Y Z) (tptp.less_than X1 Z)) (tptp.pair_in_list (tptp.update_slb _let_1 X1) Y Z))))))))) (let ((_let_2 (forall ((U $$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 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.insert_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_9 (tptp.update_slb _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.pair_in_list _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.insert_slb _let_11 (tptp.pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_13 (= _let_9 _let_12))) (let ((_let_14 (tptp.pair_in_list _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.pair_in_list _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_18 (not _let_17))) (let ((_let_19 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V W)) (not (tptp.less_than X W)) (tptp.pair_in_list (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) V W))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_16 _let_10))) (let ((_let_22 (not _let_10))) (let ((_let_23 (forall ((U $$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.less_than X W)) (tptp.pair_in_list (tptp.update_slb U X) V W)))) (not (tptp.pair_in_list _let_1 BOUND_VARIABLE_843 BOUND_VARIABLE_845)) (not (tptp.less_than BOUND_VARIABLE_847 BOUND_VARIABLE_845)) (tptp.pair_in_list (tptp.update_slb _let_1 BOUND_VARIABLE_847) BOUND_VARIABLE_843 BOUND_VARIABLE_845)))))) (let ((_let_24 (not _let_21))) (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 (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)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 3)) _let_28 :args (_let_22 true _let_21)))) (let ((_let_30 (tptp.strictly_less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_13))) (let ((_let_33 (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_34 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.less_than SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (and _let_37 _let_36))) (let ((_let_39 (= _let_30 _let_38))) (let ((_let_40 (_let_5))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (or _let_35 _let_37))) (let ((_let_43 (_let_6))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.insert_slb _let_11 _let_7))) (let ((_let_46 (= _let_9 _let_45))) (let ((_let_47 (or _let_36 _let_46))) (let ((_let_48 (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_49 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (tptp.pair_in_list _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_51 (not _let_46))) (let ((_let_52 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_53 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (and _let_53 _let_52))) (let ((_let_55 (tptp.pair_in_list _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_56 (or _let_55 _let_54))) (let ((_let_57 (= _let_50 _let_56))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.pair_in_list (tptp.insert_slb U (tptp.pair V X)) W Y)))) (let ((_let_61 (tptp.pair_in_list SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_16 _let_55))) (let ((_let_64 (or _let_61 _let_54))) (let ((_let_65 (not _let_54))) (let ((_let_66 (REFL :args (_let_21)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_26)) :args ((or _let_15 _let_21))) _let_28 :args (_let_15 true _let_21)))) (let ((_let_68 (_let_19))) (let ((_let_69 (= _let_17 _let_64))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_61 _let_54 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_18 _let_64 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_26)) :args ((or _let_17 _let_21))) _let_28 :args (_let_17 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :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_60)) :args _let_58)) _let_59 :args (_let_69 false _let_4)) :args (_let_64 false _let_17 false _let_69)) (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_16 _let_62 _let_55 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :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 (tptp.update_slb SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) V W) true))))) :args _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_26)) :args ((or _let_19 _let_21))) _let_28 :args (_let_19 true _let_21)) :args (_let_63 false _let_19)) _let_67 (REORDERING (CNF_OR_NEG :args (_let_56 1)) :args ((or _let_65 _let_56))) (CNF_OR_NEG :args (_let_56 0)) :args (_let_56 false _let_64 true _let_61 false _let_63 false _let_15 true _let_54 true _let_55)))) (let ((_let_71 (not _let_56))) (let ((_let_72 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_10))))) (let ((_let_73 (ASSUME :args (_let_22)))) (let ((_let_74 (FALSE_INTRO _let_73))) (let ((_let_75 (APPLY_UF tptp.pair_in_list))) (let ((_let_76 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_77 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_36 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_50)))) (CONG (SYMM (ASSUME :args (_let_46))) _let_77 _let_76 :args _let_75) _let_74)) :args (_let_22 _let_46 _let_50))) (CONG _let_72 (REFL :args (_let_51)) (REFL :args ((not _let_50))) :args _let_26)) _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_57)) :args ((or _let_50 _let_71 (not _let_57)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_11 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_60)) :args _let_58)) _let_59 :args (_let_57 false _let_4)) :args (_let_50 false _let_56 false _let_57)) :args (_let_51 true _let_10 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :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_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_36 true _let_46 false _let_47)))) (let ((_let_79 (not _let_37))) (let ((_let_80 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))))) (let ((_let_81 (_let_38))) (let ((_let_82 (or _let_55 (and _let_53 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_83 (= _let_14 _let_82))) (let ((_let_84 (not _let_52))) (let ((_let_85 (ASSUME :args (_let_36)))) (let ((_let_86 (ASSUME :args (_let_52)))) (let ((_let_87 (ASSUME :args (_let_15)))) (let ((_let_88 (ASSUME :args (_let_14)))) (let ((_let_89 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_89 _let_73) :args (_let_22 _let_13 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_74) (CONG (SYMM (SYMM _let_89)) _let_77 _let_76 :args _let_75) (TRUE_INTRO _let_88))) :args (_let_14 _let_13 _let_22)) :args ((not (and _let_22 _let_13 _let_14)) SB_LITERAL))) (CONG _let_72 (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_83)) :args ((or _let_14 (not _let_82) (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_82 0)) :args ((or (not _let_55) _let_82))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_54 _let_55 _let_71))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 1)) :args ((or _let_52 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_85 _let_86 _let_87) :args (_let_15 _let_52 _let_36)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_87)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM _let_86) :args (APPLY_UF tptp.less_than)) (FALSE_INTRO _let_85))) :args (_let_36 _let_52 _let_15)) :args ((not (and _let_15 _let_52 _let_36)) SB_LITERAL))) (CONG (REFL :args (_let_16)) (REFL :args (_let_84)) _let_80 :args _let_26)) :args ((or _let_16 _let_35 _let_84))) _let_67 _let_78 :args (_let_84 false _let_15 true _let_35)) :args (_let_65 true _let_52)) _let_70 :args (_let_55 true _let_54 false _let_56)) :args (_let_82 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_60)) :args _let_58)) _let_59 :args (_let_83 false _let_4)) :args (_let_14 false _let_82 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_13 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_30 (not _let_38) (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_81) (CONG (REFL :args _let_81) (REFL :args (_let_79)) _let_80 :args _let_26)) :args ((or _let_35 _let_38 _let_79))) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_35 _let_37 (not _let_42)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :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_43)) _let_44 :args (_let_42 false _let_6)) :args (_let_37 true _let_35 false _let_42)) :args (_let_38 true _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strictly_less_than U V)))) :args _let_40)) _let_41 :args (_let_39 false _let_5)) :args (_let_30 false _let_38 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :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_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_13 false _let_30 false _let_32)) _let_29 :args (false false _let_14 false _let_13 true _let_10)) :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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.58  )
% 0.22/0.58  % SZS output end Proof for SWV401+1
% 0.22/0.58  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------