TSTP Solution File: SWC346-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 20:24:55 EDT 2023
% Result : Unsatisfiable 0.46s 0.68s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC346-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n016.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 : Mon Aug 28 16:15:59 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.lJqeWUfvdw/cvc5---1.0.5_18275.p...
% 0.21/0.55 ------- get file name : TPTP file name is SWC346-1
% 0.21/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18275.smt2...
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.68 % SZS status Unsatisfiable for SWC346-1
% 0.46/0.68 % SZS output start Proof for SWC346-1
% 0.46/0.68 (
% 0.46/0.68 (let ((_let_1 (tptp.strictorderedP tptp.sk1))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.segmentP tptp.sk2 tptp.sk1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (or _let_4 _let_2))) (let ((_let_6 (= tptp.nil tptp.sk3))) (let ((_let_7 (tptp.app (tptp.app tptp.sk6 tptp.sk3) tptp.sk7))) (let ((_let_8 (= _let_7 tptp.sk4))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_11 (= _let_10 tptp.sk3))) (let ((_let_12 (or _let_11 _let_6))) (let ((_let_13 (tptp.ssList tptp.sk7))) (let ((_let_14 (or _let_13 _let_6))) (let ((_let_15 (tptp.ssList tptp.sk6))) (let ((_let_16 (or _let_15 _let_6))) (let ((_let_17 (= tptp.nil tptp.sk4))) (let ((_let_18 (or _let_11 _let_17))) (let ((_let_19 (tptp.ssItem tptp.sk5))) (let ((_let_20 (or _let_19 _let_6))) (let ((_let_21 (or _let_19 _let_17))) (let ((_let_22 (= tptp.sk1 tptp.sk3))) (let ((_let_23 (= tptp.sk2 tptp.sk4))) (let ((_let_24 (tptp.ssList tptp.sk3))) (let ((_let_25 (tptp.ssList tptp.sk2))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))) (let ((_let_29 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))) (let ((_let_30 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))) (let ((_let_31 (tptp.ssList tptp.nil))) (let ((_let_32 (tptp.strictorderedP tptp.nil))) (let ((_let_33 (= tptp.sk4 _let_7))) (let ((_let_34 (tptp.segmentP _let_7 tptp.sk3))) (let ((_let_35 (ASSUME :args (_let_23)))) (let ((_let_36 (ASSUME :args (_let_22)))) (let ((_let_37 (tptp.segmentP tptp.nil tptp.nil))) (let ((_let_38 (= tptp.sk3 _let_10))) (let ((_let_39 (tptp.memberP tptp.nil tptp.sk5))) (let ((_let_40 (tptp.memberP _let_10 tptp.sk5))) (let ((_let_41 (not _let_6))) (let ((_let_42 (ASSUME :args (_let_32)))) (let ((_let_43 (not _let_22))) (let ((_let_44 (not _let_32))) (let ((_let_45 (or))) (let ((_let_46 (REFL :args (_let_41)))) (let ((_let_47 (REFL :args (_let_43)))) (let ((_let_48 (APPLY_UF tptp.strictorderedP))) (let ((_let_49 (ASSUME :args (_let_6)))) (let ((_let_50 (SYMM _let_49))) (let ((_let_51 (SYMM _let_36))) (let ((_let_52 (SYMM _let_51))) (let ((_let_53 (TRANS _let_52 _let_50))) (let ((_let_54 (ASSUME :args (_let_2)))) (let ((_let_55 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_49 _let_36 _let_54) :args (_let_32 _let_22 _let_6 _let_2)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_54)) (CONG _let_53 :args _let_48) (TRUE_INTRO _let_42))) :args (_let_32 _let_6 _let_22 _let_2)) :args ((not (and _let_32 _let_22 _let_6 _let_2)) SB_LITERAL))) (CONG (REFL :args (_let_44)) _let_47 _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) :args _let_45)) :args ((or _let_1 _let_44 _let_43 _let_41))))) (let ((_let_56 (ASSUME :args (_let_5)))) (let ((_let_57 (ASSUME :args (_let_31)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) _let_57 :args (_let_37 false _let_31)))) (let ((_let_59 (not _let_23))) (let ((_let_60 (and _let_23 _let_22 _let_17 _let_6 _let_37))) (let ((_let_61 (ASSUME :args (_let_37)))) (let ((_let_62 (APPLY_UF tptp.segmentP))) (let ((_let_63 (ASSUME :args (_let_17)))) (let ((_let_64 (SYMM _let_35))) (let ((_let_65 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_63 _let_35 _let_49 _let_36) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_64) (SYMM _let_63)) _let_53 :args _let_62) (TRUE_INTRO _let_61))) :args (_let_37 _let_17 _let_23 _let_6 _let_22))) :args (_let_23 _let_22 _let_17 _let_6 _let_37))) :args (true _let_60)) :args ((or _let_3 (not _let_37) _let_59 _let_43 (not _let_17) _let_41))))) (let ((_let_66 (not _let_19))) (let ((_let_67 (not _let_39))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (_let_29))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (MACRO_RESOLUTION_TRUST _let_65 _let_36 _let_35 _let_58 _let_56 _let_55 _let_36 _let_42 (ASSUME :args (_let_20)) (ASSUME :args (_let_21)) :args (_let_19 false _let_22 false _let_23 false _let_37 true _let_3 false _let_1 false _let_22 false _let_32 false _let_6 false _let_17)))) (let ((_let_72 (not _let_31))) (let ((_let_73 (or _let_72 _let_66 _let_40))) (let ((_let_74 (forall ((V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons V W) V))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (not _let_38))) (let ((_let_77 (ASSUME :args (_let_67)))) (let ((_let_78 (ASSUME :args (_let_38)))) (let ((_let_79 (SYMM _let_78))) (let ((_let_80 (ASSUME :args (_let_40)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_77 _let_49 _let_78 _let_80) :args (_let_6 _let_38 _let_67 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_80)) (CONG (TRANS _let_79 _let_50) (REFL :args (tptp.sk5)) :args (APPLY_UF tptp.memberP)) (FALSE_INTRO _let_77))) :args (_let_67 _let_6 _let_38 _let_40)) :args ((not (and _let_6 _let_38 _let_67 _let_40)) SB_LITERAL))) (CONG _let_46 (REFL :args (_let_76)) (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_39))) (REFL :args ((not _let_40))) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_66 _let_40 (not _let_73)))) _let_57 _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons V W)))) :args (_let_74))) _let_75 :args (_let_73 false _let_74)) :args (_let_40 false _let_31 false _let_19 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_66 _let_67 (not _let_68)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_69)) _let_70 :args (_let_68 false _let_29)) :args (_let_67 false _let_19 false _let_68)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_17 _let_38))) _let_65 _let_36 _let_35 _let_58 _let_56 _let_55 _let_36 _let_42 :args (_let_41 false _let_40 true _let_39 false _let_38 true _let_17 false _let_22 false _let_23 false _let_37 true _let_3 false _let_1 false _let_22 false _let_32)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_6 _let_33))) _let_81 :args (_let_33 true _let_6)))) (let ((_let_83 (tptp.strictorderedP _let_10))) (let ((_let_84 (or _let_66 _let_83))) (let ((_let_85 (_let_30))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (and _let_22 _let_38 _let_83))) (let ((_let_88 (ASSUME :args (_let_83)))) (let ((_let_89 (tptp.ssList _let_7))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_24))) (let ((_let_92 (not _let_15))) (let ((_let_93 (not _let_13))) (let ((_let_94 (or _let_93 _let_92 _let_91 _let_90 _let_34))) (let ((_let_95 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.app (tptp.app U V) W))) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList _let_1)) (tptp.segmentP _let_1 V)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (ASSUME :args (_let_25)))) (let ((_let_98 (and _let_25 _let_23 _let_33))) (let ((_let_99 (_let_25 _let_23 _let_33))) (let ((_let_100 (ASSUME :args (_let_33)))) (let ((_let_101 (TRANS (SYMM _let_100) _let_64))) (let ((_let_102 (not _let_34))) (let ((_let_103 (not _let_33))) (let ((_let_104 (and _let_23 _let_22 _let_4 _let_33))) (let ((_let_105 (ASSUME :args (_let_4)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_35 _let_100 _let_36) (SCOPE (FALSE_ELIM (TRANS (CONG _let_101 _let_51 :args _let_62) (FALSE_INTRO _let_105))) :args (_let_4 _let_23 _let_33 _let_22))) :args (_let_23 _let_22 _let_4 _let_33))) :args (true _let_104)) (CONG (REFL :args (_let_59)) _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args (_let_103)) (REFL :args (_let_102)) :args _let_45)) :args ((or _let_3 _let_59 _let_43 _let_103 _let_102))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_91 _let_92 _let_93 _let_90 _let_34 (not _let_94)))) (ASSUME :args (_let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_16)) :args ((or _let_6 _let_15))) _let_81 :args (_let_15 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_14)) :args ((or _let_6 _let_13))) _let_81 :args (_let_13 true _let_6)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_97 _let_35 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG _let_101 :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_97))) :args _let_99)) :args _let_99)) :args (true _let_98)) _let_97 _let_35 _let_82 :args (_let_89 false _let_25 false _let_23 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk6 tptp.sk3 tptp.sk7 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app U V) W)))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_34 false _let_24 false _let_15 false _let_13 false _let_89 false _let_94)) (MACRO_RESOLUTION_TRUST _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_78 _let_36) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_52 (SYMM _let_79)) :args _let_48) (TRUE_INTRO _let_88))) :args (_let_83 _let_38 _let_22))) :args (_let_22 _let_38 _let_83))) :args (true _let_87)) :args ((or _let_1 _let_43 _let_76 (not _let_83)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_6 _let_38))) _let_81 :args (_let_38 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_66 _let_83 (not _let_84)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_85)) _let_86 :args (_let_84 false _let_30)) :args (_let_83 false _let_19 false _let_84)) :args (_let_1 false _let_22 false _let_38 false _let_83)) :args (_let_4 false _let_1)) _let_82 _let_36 _let_35 :args (false false _let_34 true _let_3 false _let_33 false _let_22 false _let_23)) :args ((tptp.equalelemsP tptp.nil) (tptp.duplicatefreeP tptp.nil) _let_32 (tptp.totalorderedP tptp.nil) (tptp.strictorderP tptp.nil) (tptp.totalorderP tptp.nil) (tptp.cyclefreeP tptp.nil) _let_31 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (not (= tptp.skac3 tptp.skac2)) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) _let_30 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) _let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) _let_28 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))) (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) _let_27 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) _let_26 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (tptp.ssList tptp.sk1) _let_25 _let_24 (tptp.ssList tptp.sk4) _let_23 _let_22 _let_21 _let_20 (or _let_15 _let_17) (or _let_13 _let_17) _let_18 (or _let_8 _let_17) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.memberP tptp.sk6 A)) (not (tptp.lt tptp.sk5 A)) (= tptp.nil tptp.sk4))) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.memberP tptp.sk7 A)) (not (tptp.lt A tptp.sk5)) (= tptp.nil tptp.sk4))) _let_16 _let_14 _let_12 _let_9 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.memberP tptp.sk6 A)) (not (tptp.lt tptp.sk5 A)) (= tptp.nil tptp.sk3))) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.memberP tptp.sk7 A)) (not (tptp.lt A tptp.sk5)) (= tptp.nil tptp.sk3))) _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.68 )
% 0.46/0.69 % SZS output end Proof for SWC346-1
% 0.46/0.69 % cvc5---1.0.5 exiting
% 0.46/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------