%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC396-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 20:25:19 EDT 2023

% Result   : Unsatisfiable 20.67s 21.24s
% Output   : Proof 20.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWC396-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 17:29:17 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eGmSGJVuiY/cvc5---1.0.5_13377.p...
% 0.19/0.50  ------- get file name : TPTP file name is SWC396-1
% 0.19/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13377.smt2...
% 0.19/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.58/10.83  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.58/15.88  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.65/20.92  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.67/21.24  % SZS status Unsatisfiable for SWC396-1
% 20.67/21.24  % SZS output start Proof for SWC396-1
% 20.67/21.25  (
% 20.67/21.25  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (not (tptp.neq tptp.nil tptp.sk3)))) (or (not (tptp.neq tptp.sk4 tptp.nil)) (not (tptp.ssList A)) (= tptp.sk4 A) (not (tptp.ssList B)) (not (tptp.ssList C)) (not (= (tptp.tl tptp.sk3) B)) (not (= (tptp.app B C) A)) (not (tptp.ssItem D)) (not (= (tptp.cons D tptp.nil) C)) (not (= (tptp.hd tptp.sk3) D)) _let_1 _let_1))))) (let ((_let_2 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_3 (not _let_2))) (let ((_let_4 (= tptp.nil tptp.sk4))) (let ((_let_5 (not _let_4))) (let ((_let_6 (= tptp.nil tptp.sk3))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (not (tptp.memberP tptp.sk2 tptp.sk5)))) (let ((_let_9 (tptp.memberP tptp.sk1 tptp.sk5))) (let ((_let_10 (tptp.ssItem tptp.sk5))) (let ((_let_11 (= tptp.sk1 tptp.sk3))) (let ((_let_12 (= tptp.sk2 tptp.sk4))) (let ((_let_13 (tptp.ssList tptp.sk4))) (let ((_let_14 (tptp.ssList tptp.sk3))) (let ((_let_15 (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))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))))) (let ((_let_17 (forall ((U $$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))))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_22 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))) (let ((_let_25 (tptp.ssList tptp.nil))) (let ((_let_26 (tptp.memberP tptp.sk3 tptp.sk5))) (let ((_let_27 (tptp.tl tptp.sk3))) (let ((_let_28 (tptp.hd tptp.sk3))) (let ((_let_29 (tptp.cons _let_28 _let_27))) (let ((_let_30 (= tptp.sk3 _let_29))) (let ((_let_31 (tptp.memberP _let_29 tptp.sk5))) (let ((_let_32 (AND_INTRO (ASSUME :args (_let_11)) (ASSUME :args (_let_12))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_14))) (let ((_let_35 (or _let_34 _let_30 _let_6))) (let ((_let_36 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (ASSUME :args (_let_14)))) (let ((_let_39 (tptp.memberP tptp.nil tptp.sk5))) (let ((_let_40 (not _let_6))) (let ((_let_41 (not _let_10))) (let ((_let_42 (not _let_39))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (_let_24))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (ASSUME :args (_let_10)))) (let ((_let_47 (not _let_26))) (let ((_let_48 (or))) (let ((_let_49 (REFL :args (_let_47)))) (let ((_let_50 (TRUE_INTRO _let_33))) (let ((_let_51 (APPLY_UF tptp.memberP))) (let ((_let_52 (REFL :args (tptp.sk5)))) (let ((_let_53 (ASSUME :args (_let_6)))) (let ((_let_54 (ASSUME :args (_let_42)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_33 _let_53 _let_54) :args (_let_6 _let_26 _let_42)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_54)) (CONG (SYMM (SYMM _let_53)) _let_52 :args _let_51) _let_50)) :args (_let_26 _let_6 _let_42)) :args ((not (and _let_6 _let_26 _let_42)) SB_LITERAL))) (CONG (REFL :args (_let_40)) _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_39))) :args _let_48)) :args ((or _let_47 _let_40 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_41 _let_42 (not _let_43)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.sk5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_44)) _let_45 :args (_let_43 false _let_24)) :args (_let_42 false _let_10 false _let_43)) _let_33 :args (_let_40 true _let_39 false _let_26)))) (let ((_let_56 (= tptp.sk5 _let_28))) (let ((_let_57 (tptp.memberP _let_27 tptp.sk5))) (let ((_let_58 (tptp.ssItem _let_28))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.ssList _let_27))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_31))) (let ((_let_63 (or _let_62 _let_61 _let_59 _let_41 _let_57 _let_56))) (let ((_let_64 (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) (= U W))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (tptp.cons _let_28 tptp.nil))) (let ((_let_67 (tptp.app _let_27 _let_66))) (let ((_let_68 (= tptp.sk4 _let_67))) (let ((_let_69 (tptp.app _let_27 (tptp.cons tptp.sk5 tptp.nil)))) (let ((_let_70 (tptp.ssList _let_69))) (let ((_let_71 (tptp.memberP tptp.sk4 tptp.sk5))) (let ((_let_72 (tptp.memberP _let_69 tptp.sk5))) (let ((_let_73 (not _let_70))) (let ((_let_74 (not _let_25))) (let ((_let_75 (or _let_74 _let_61 _let_41 _let_73 _let_72))) (let ((_let_76 (not _let_56))) (let ((_let_77 (ASSUME :args (_let_13)))) (let ((_let_78 (tptp.ssList _let_66))) (let ((_let_79 (tptp.ssList _let_67))) (let ((_let_80 (tptp.neq tptp.nil tptp.sk3))) (let ((_let_81 (or _let_34 _let_58 _let_6))) (let ((_let_82 (_let_22))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (tptp.sk3 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_6 _let_58 _let_34 (not _let_81)))) _let_55 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args _let_84) :args _let_82)) _let_83 :args (_let_81 false _let_22)) :args (_let_58 true _let_6 false _let_14 false _let_81)))) (let ((_let_86 (or _let_59 _let_74 _let_78))) (let ((_let_87 (_let_20))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (ASSUME :args (_let_25)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_74 _let_78 _let_59 (not _let_86)))) _let_89 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_28 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args _let_87)) _let_88 :args (_let_86 false _let_20)) :args (_let_78 false _let_25 false _let_58 false _let_86)))) (let ((_let_91 (not _let_78))) (let ((_let_92 (or _let_91 _let_61 _let_79))) (let ((_let_93 (_let_21))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (or _let_34 _let_60 _let_6))) (let ((_let_96 (_let_23))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_6 _let_60 _let_34 (not _let_95)))) _let_55 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_84) :args _let_96)) _let_97 :args (_let_95 false _let_23)) :args (_let_60 true _let_6 false _let_14 false _let_95)))) (let ((_let_99 (or _let_34 _let_74 _let_80 _let_6))) (let ((_let_100 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (not _let_13))) (let ((_let_104 (or _let_74 _let_103 _let_2 _let_4))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_3 (not _let_80) _let_61 (not _let_79) _let_68 _let_91 _let_59))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_4 _let_2 _let_74 _let_103 (not _let_104)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_7)) _let_55 :args (_let_5 true _let_6)) _let_89 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.nil tptp.sk4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102)) _let_101 :args (_let_104 false _let_100)) :args (_let_2 true _let_4 false _let_25 false _let_13 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_6 _let_80 _let_74 _let_34 (not _let_99)))) _let_55 _let_89 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.sk3 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102))) _let_101 :args (_let_99 false _let_100)) :args (_let_80 true _let_6 false _let_25 false _let_14 false _let_99)) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_61 _let_79 _let_91 (not _let_92)))) _let_98 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_66 _let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_94 :args (_let_92 false _let_21)) :args (_let_79 false _let_60 false _let_78 false _let_92)) _let_90 _let_85 :args (_let_68 false _let_2 false _let_80 false _let_60 false _let_79 false _let_78 false _let_58)))) (let ((_let_106 (and _let_13 _let_68 _let_56))) (let ((_let_107 (_let_13 _let_68 _let_56))) (let ((_let_108 (ASSUME :args (_let_68)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (ASSUME :args (_let_56)))) (let ((_let_111 (TRANS (CONG (REFL :args (_let_27)) (CONG (SYMM (SYMM _let_110)) (REFL :args (tptp.nil)) :args (APPLY_UF tptp.cons)) :args (APPLY_UF tptp.app)) _let_109))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (not _let_72))) (let ((_let_114 (not _let_68))) (let ((_let_115 (not _let_71))) (let ((_let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_71))))) (let ((_let_117 (REFL :args (_let_114)))) (let ((_let_118 (and _let_68 _let_115 _let_56))) (let ((_let_119 (FALSE_INTRO _let_112))) (let ((_let_120 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.app U (tptp.cons V W)))) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList _let_1)) (tptp.memberP _let_1 V)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (tptp.memberP _let_67 tptp.sk5))) (let ((_let_123 (not _let_57))) (let ((_let_124 (or _let_123 _let_91 _let_61 _let_41 _let_122))) (let ((_let_125 (_let_17))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (not _let_122))) (let ((_let_128 (and _let_68 _let_115))) (let ((_let_129 (ASSUME :args (_let_62)))) (let ((_let_130 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_129 _let_130 _let_33) :args (_let_26 _let_30 _let_62)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_50) (CONG (SYMM (SYMM _let_130)) _let_52 :args _let_51) (FALSE_INTRO _let_129))) :args (_let_62 _let_30 _let_26)) :args ((not (and _let_26 _let_30 _let_62)) SB_LITERAL))) (CONG _let_49 (REFL :args ((not _let_30))) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_31))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_61 _let_59 _let_41 _let_57 _let_56 _let_62 (not _let_63)))) _let_98 _let_85 _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_61 _let_91 _let_41 _let_123 _let_122 (not _let_124)))) _let_98 _let_90 _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_108) (SCOPE (FALSE_ELIM (TRANS (CONG _let_109 _let_52 :args _let_51) _let_119)) :args (_let_115 _let_68))) :args (_let_68 _let_115))) :args (true _let_128)) (CONG _let_117 _let_116 (REFL :args (_let_127)) :args _let_48)) :args ((or _let_71 _let_114 _let_127))) _let_112 _let_105 :args (_let_127 true _let_71 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_27 tptp.sk5 _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_125)) _let_126 :args (_let_124 false _let_17)) :args (_let_123 false _let_60 false _let_78 false _let_10 true _let_122 false _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_61 _let_41 _let_73 _let_72 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_27 tptp.sk5 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_120))) _let_121 :args (_let_75 false _let_120)) _let_98 _let_46 _let_89 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_108 _let_110) (SCOPE (FALSE_ELIM (TRANS (CONG _let_111 _let_52 :args _let_51) _let_119)) :args (_let_115 _let_68 _let_56))) :args (_let_68 _let_115 _let_56))) :args (true _let_118)) (CONG _let_117 _let_116 (REFL :args (_let_76)) (REFL :args (_let_113)) :args _let_48)) :args ((or _let_71 _let_114 _let_76 _let_113))) _let_105 _let_112 (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_108 _let_110) (SCOPE (TRUE_ELIM (TRANS (CONG _let_111 :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_77))) :args _let_107)) :args _let_107)) :args (true _let_106)) _let_105 _let_77 :args (_let_76 false _let_75 false _let_60 false _let_10 false _let_25 true _let_72 false _let_68 true _let_71 false _let_70 false _let_68 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_28 _let_27 tptp.sk5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_64)))) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_60 false _let_58 false _let_10 true _let_57 true _let_56 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_6 _let_34 _let_30 (not _let_35)))) _let_55 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_36))) _let_37 :args (_let_35 false _let_36)) :args (_let_30 true _let_6 false _let_14 false _let_35)) _let_33 :args (false true _let_31 false _let_30 false _let_26)) :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_25 (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 $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) _let_24 (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) _let_23 _let_22 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) _let_21 _let_20 (forall ((U $$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)))) _let_19 (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 $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) _let_18 (forall ((U $$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))) (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))) _let_17 (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 $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) _let_16 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) _let_15 (forall ((U $$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) (tptp.ssList tptp.sk2) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (or _let_3 (tptp.neq tptp.sk3 tptp.nil)) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 20.67/21.25  )
% 20.67/21.26  % SZS output end Proof for SWC396-1
% 20.67/21.26  % cvc5---1.0.5 exiting
% 20.67/21.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------