TSTP Solution File: SWC014-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC014-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 20:22:36 EDT 2023
% Result : Unsatisfiable 0.46s 0.71s
% Output : Proof 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SWC014-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.16 % Command : do_cvc5 %s %d
% 0.17/0.37 % Computer : n013.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon Aug 28 17:06:47 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jKHqcO08qs/cvc5---1.0.5_5047.p...
% 0.23/0.55 ------- get file name : TPTP file name is SWC014-1
% 0.23/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5047.smt2...
% 0.23/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.71 % SZS status Unsatisfiable for SWC014-1
% 0.46/0.71 % SZS output start Proof for SWC014-1
% 0.46/0.72 (
% 0.46/0.72 (let ((_let_1 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_4 (tptp.app _let_3 tptp.sk6))) (let ((_let_5 (= _let_4 tptp.sk4))) (let ((_let_6 (or _let_5 _let_2))) (let ((_let_7 (= _let_3 tptp.sk3))) (let ((_let_8 (or _let_7 _let_2))) (let ((_let_9 (tptp.ssList tptp.sk6))) (let ((_let_10 (or _let_9 _let_2))) (let ((_let_11 (tptp.ssItem tptp.sk5))) (let ((_let_12 (or _let_11 _let_2))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (not (= tptp.sk2 A)) (not (tptp.ssList B)) (not (= (tptp.tl tptp.sk2) B)) (not (= (tptp.app tptp.sk1 B) A)) (not (tptp.neq tptp.nil tptp.sk2)) (not (tptp.neq tptp.sk4 tptp.nil)))))) (let ((_let_14 (tptp.neq tptp.sk2 tptp.nil))) (let ((_let_15 (or _let_14 _let_14))) (let ((_let_16 (= tptp.sk1 tptp.sk3))) (let ((_let_17 (= tptp.sk2 tptp.sk4))) (let ((_let_18 (tptp.ssList tptp.sk2))) (let ((_let_19 (tptp.ssList tptp.sk1))) (let ((_let_20 (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)))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_26 (tptp.ssList tptp.nil))) (let ((_let_27 (tptp.tl tptp.sk2))) (let ((_let_28 (= tptp.sk2 (tptp.app tptp.sk1 _let_27)))) (let ((_let_29 (tptp.ssList _let_27))) (let ((_let_30 (tptp.neq tptp.nil tptp.sk2))) (let ((_let_31 (ASSUME :args (_let_18)))) (let ((_let_32 (tptp.tl _let_3))) (let ((_let_33 (= (tptp.tl _let_4) (tptp.app _let_32 tptp.sk6)))) (let ((_let_34 (= tptp.nil _let_32))) (let ((_let_35 (= tptp.sk6 (tptp.app tptp.nil tptp.sk6)))) (let ((_let_36 (= tptp.sk4 _let_4))) (let ((_let_37 (= tptp.sk3 _let_3))) (let ((_let_38 (= tptp.nil _let_3))) (let ((_let_39 (tptp.ssList _let_3))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_9))) (let ((_let_42 (or _let_41 _let_40 _let_38 _let_33))) (let ((_let_43 (_let_20))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (ASSUME :args (_let_17)))) (let ((_let_47 (not _let_17))) (let ((_let_48 (and _let_17 _let_14))) (let ((_let_49 (REFL :args (tptp.nil)))) (let ((_let_50 (SYMM _let_46))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_46) (SCOPE (TRUE_ELIM (TRANS (CONG _let_50 _let_49 :args (APPLY_UF tptp.neq)) (TRUE_INTRO _let_45))) :args (_let_14 _let_17))) :args (_let_17 _let_14))) :args (true _let_48)) :args ((or _let_1 _let_47 (not _let_14)))) _let_46 _let_45 :args (_let_1 false _let_17 false _let_14)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_37))) _let_51 :args (_let_37 false _let_1)))) (let ((_let_53 (ASSUME :args (_let_16)))) (let ((_let_54 (ASSUME :args (_let_19)))) (let ((_let_55 (and _let_19 _let_16 _let_37))) (let ((_let_56 (_let_19 _let_16 _let_37))) (let ((_let_57 (APPLY_UF tptp.ssList))) (let ((_let_58 (ASSUME :args (_let_37)))) (let ((_let_59 (TRANS (SYMM _let_58) (SYMM _let_53)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_53 _let_58) (SCOPE (TRUE_ELIM (TRANS (CONG _let_59 :args _let_57) (TRUE_INTRO _let_54))) :args _let_56)) :args _let_56)) :args (true _let_55)) _let_54 _let_53 _let_52 :args (_let_39 false _let_19 false _let_16 false _let_37)))) (let ((_let_61 (not _let_26))) (let ((_let_62 (not _let_11))) (let ((_let_63 (not _let_38))) (let ((_let_64 (or _let_63 _let_62 _let_61))) (let ((_let_65 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_12)) :args ((or _let_2 _let_11))) _let_51 :args (_let_11 false _let_1)))) (let ((_let_68 (ASSUME :args (_let_26)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_61 _let_62 _let_63 (not _let_64)))) _let_68 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_63 false _let_26 false _let_11 false _let_64)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_10)) :args ((or _let_2 _let_9))) _let_51 :args (_let_9 false _let_1)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 _let_40 _let_33 (not _let_42)))) _let_70 _let_69 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.sk6 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.tl (tptp.app V U))))) :args _let_43)) _let_44 :args (_let_42 false _let_20)) :args (_let_33 false _let_9 true _let_38 false _let_39 false _let_42)))) (let ((_let_72 (or _let_62 _let_61 _let_34))) (let ((_let_73 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_61 _let_62 _let_34 (not _let_72)))) _let_68 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_34 false _let_26 false _let_11 false _let_72)))) (let ((_let_76 (or _let_41 _let_35))) (let ((_let_77 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_41 _let_35 (not _let_76)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_35 false _let_9 false _let_76)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_36))) _let_51 :args (_let_36 false _let_1)))) (let ((_let_81 (not _let_33))) (let ((_let_82 (not _let_34))) (let ((_let_83 (not _let_35))) (let ((_let_84 (not _let_36))) (let ((_let_85 (and _let_17 _let_16 _let_37 _let_36 _let_35 _let_34 _let_33))) (let ((_let_86 (APPLY_UF tptp.app))) (let ((_let_87 (APPLY_UF tptp.tl))) (let ((_let_88 (ASSUME :args (_let_36)))) (let ((_let_89 (SYMM (SYMM _let_88)))) (let ((_let_90 (ASSUME :args (_let_33)))) (let ((_let_91 (SYMM (SYMM _let_90)))) (let ((_let_92 (REFL :args (tptp.sk6)))) (let ((_let_93 (ASSUME :args (_let_34)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (ASSUME :args (_let_35)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (and _let_17 _let_9 _let_36 _let_35 _let_34 _let_33))) (let ((_let_98 (ASSUME :args (_let_9)))) (let ((_let_99 (TRANS (SYMM _let_50) _let_89))) (let ((_let_100 (= tptp.nil tptp.sk2))) (let ((_let_101 (not _let_18))) (let ((_let_102 (or _let_101 _let_61 _let_30 _let_100))) (let ((_let_103 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (= tptp.nil _let_4))) (let ((_let_106 (not _let_100))) (let ((_let_107 (not _let_105))) (let ((_let_108 (or _let_107 _let_41 _let_40 _let_38))) (let ((_let_109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (and _let_17 _let_36 _let_107))) (let ((_let_112 (ASSUME :args (_let_107)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 (not _let_30) _let_101 (not _let_29) (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_30 _let_61 _let_101 _let_100 (not _let_102)))) _let_68 _let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_88 _let_46) (SCOPE (FALSE_ELIM (TRANS (CONG _let_49 _let_99 :args (=)) (FALSE_INTRO _let_112))) :args (_let_107 _let_36 _let_17))) :args (_let_17 _let_36 _let_107))) :args (true _let_111)) (CONG (REFL :args (_let_47)) (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_105))) (REFL :args (_let_106)) :args (or))) _let_46 _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_41 _let_38 _let_40 _let_107 (not _let_108)))) _let_70 _let_69 _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_3 tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app U V)))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_9 true _let_38 false _let_39 false _let_108)) :args (_let_106 false _let_17 false _let_36 true _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk2 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.neq V U) true))))) :args (_let_103)))) _let_104 :args (_let_102 false _let_103)) :args (_let_30 false _let_26 false _let_18 true _let_100 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_95 _let_93 _let_90 _let_88 _let_46) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_99 :args _let_87) _let_91 (CONG _let_94 _let_92 :args _let_86) _let_96) :args _let_57) (TRUE_INTRO _let_98))) :args (_let_9 _let_35 _let_34 _let_33 _let_36 _let_17))) :args (_let_17 _let_9 _let_36 _let_35 _let_34 _let_33))) :args (true _let_97)) :args ((or _let_29 _let_47 _let_41 _let_84 _let_83 _let_82 _let_81))) _let_46 _let_70 _let_80 _let_79 _let_75 _let_71 :args (_let_29 false _let_17 false _let_9 false _let_36 false _let_35 false _let_34 false _let_33)) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_85)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_58 _let_46 _let_88 _let_90 _let_93 _let_95) (SCOPE (TRANS _let_46 _let_89 (CONG _let_59 (TRANS (SYMM _let_96) (CONG (SYMM _let_94) _let_92 :args _let_86) (SYMM _let_91) (CONG (TRANS (SYMM _let_89) _let_50) :args _let_87)) :args _let_86)) :args (_let_16 _let_37 _let_17 _let_36 _let_33 _let_34 _let_35))) :args (_let_17 _let_16 _let_37 _let_36 _let_35 _let_34 _let_33))) :args (true _let_85)) :args ((or _let_28 _let_47 (not _let_16) (not _let_37) _let_84 _let_83 _let_82 _let_81))) _let_46 _let_53 _let_52 _let_80 _let_79 _let_75 _let_71 :args (_let_28 false _let_17 false _let_16 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33)) _let_31 :args (false false _let_30 false _let_29 false _let_1 false _let_28 false _let_18)) :args ((tptp.equalelemsP tptp.nil) (tptp.duplicatefreeP tptp.nil) (tptp.strictorderedP tptp.nil) (tptp.totalorderedP tptp.nil) (tptp.strictorderP tptp.nil) (tptp.totalorderP tptp.nil) (tptp.cyclefreeP tptp.nil) _let_26 (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 $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (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)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (forall ((U $$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))) _let_25 (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))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (forall ((U $$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 $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) _let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) _let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_22 (forall ((U $$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)))) _let_21 (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))) _let_20 (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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) _let_19 _let_18 (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_17 _let_16 _let_15 (or _let_14 _let_2) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (not (= tptp.sk2 A)) (not (tptp.ssList B)) (not (= (tptp.tl tptp.sk2) B)) (not (= (tptp.app tptp.sk1 B) A)) (not (tptp.neq tptp.nil tptp.sk2)) (tptp.neq tptp.sk2 tptp.nil))) (or _let_11 _let_14) (or _let_9 _let_14) (or _let_7 _let_14) (or _let_5 _let_14) _let_13 _let_12 _let_10 _let_8 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.72 )
% 0.54/0.73 % SZS output end Proof for SWC014-1
% 0.54/0.73 % cvc5---1.0.5 exiting
% 0.54/0.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------