TSTP Solution File: SWC171-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC171-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 20:23:45 EDT 2023
% Result : Unsatisfiable 48.34s 48.57s
% Output : Proof 48.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC171-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 15:00:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WFGZxsCuI4/cvc5---1.0.5_21686.p...
% 0.21/0.53 ------- get file name : TPTP file name is SWC171-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21686.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.73 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.47/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.79/25.98 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.81/31.09 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.91/36.13 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.81/41.20 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.17/46.39 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 48.34/48.57 % SZS status Unsatisfiable for SWC171-1
% 48.34/48.57 % SZS output start Proof for SWC171-1
% 48.34/48.59 (
% 48.34/48.59 (let ((_let_1 (= tptp.nil tptp.sk3))) (let ((_let_2 (tptp.memberP tptp.sk4 tptp.sk9))) (let ((_let_3 (tptp.cons tptp.sk9 tptp.nil))) (let ((_let_4 (= _let_3 tptp.sk3))) (let ((_let_5 (or _let_4 _let_1))) (let ((_let_6 (= tptp.nil tptp.sk4))) (let ((_let_7 (tptp.ssItem tptp.sk9))) (let ((_let_8 (or _let_7 _let_1))) (let ((_let_9 (tptp.neq tptp.sk5 tptp.sk6))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.cons tptp.sk6 tptp.nil))) (let ((_let_12 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_13 (tptp.app tptp.sk7 _let_12))) (let ((_let_14 (tptp.app _let_13 _let_11))) (let ((_let_15 (tptp.app _let_14 tptp.sk8))) (let ((_let_16 (= _let_15 tptp.sk1))) (let ((_let_17 (tptp.ssList tptp.sk8))) (let ((_let_18 (tptp.ssList tptp.sk7))) (let ((_let_19 (tptp.ssItem tptp.sk6))) (let ((_let_20 (tptp.ssItem tptp.sk5))) (let ((_let_21 (= tptp.sk1 tptp.sk3))) (let ((_let_22 (= tptp.sk2 tptp.sk4))) (let ((_let_23 (tptp.ssList tptp.sk1))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))))) (let ((_let_25 (forall ((U $$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))))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))))) (let ((_let_27 (forall ((U $$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))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) (let ((_let_31 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_32 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_33 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_34 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_35 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))))) (let ((_let_36 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))))) (let ((_let_37 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_38 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_39 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))) (let ((_let_40 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_41 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_42 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_43 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_44 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_45 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_46 (tptp.ssList tptp.nil))) (let ((_let_47 (= tptp.sk5 tptp.sk6))) (let ((_let_48 (= tptp.nil (tptp.tl _let_11)))) (let ((_let_49 (tptp.hd _let_14))) (let ((_let_50 (tptp.hd _let_13))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (tptp.frontsegP _let_15 _let_14))) (let ((_let_53 (= (tptp.hd _let_15) _let_49))) (let ((_let_54 (= _let_15 _let_3))) (let ((_let_55 (= tptp.sk9 (tptp.hd _let_3)))) (let ((_let_56 (= _let_11 (tptp.app tptp.nil _let_11)))) (let ((_let_57 (= _let_13 (tptp.cons _let_50 (tptp.tl _let_13))))) (let ((_let_58 (tptp.frontsegP _let_13 _let_14))) (let ((_let_59 (= tptp.nil tptp.sk7))) (let ((_let_60 (not _let_20))) (let ((_let_61 (not _let_19))) (let ((_let_62 (or _let_61 _let_60 _let_9 _let_47))) (let ((_let_63 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= U V))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (ASSUME :args (_let_19)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_9 _let_60 _let_61 _let_47 (not _let_62)))) (ASSUME :args (_let_10)) (ASSUME :args (_let_20)) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.sk6 tptp.sk5 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_63)))) _let_64 :args (_let_62 false _let_63)) :args (_let_47 true _let_9 false _let_20 false _let_19 false _let_62)))) (let ((_let_67 (not _let_46))) (let ((_let_68 (or _let_61 _let_67 _let_48))) (let ((_let_69 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (ASSUME :args (_let_46)))) (let ((_let_72 (= tptp.nil _let_13))) (let ((_let_73 (tptp.ssList _let_13))) (let ((_let_74 (not _let_73))) (let ((_let_75 (tptp.ssList _let_11))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_72 _let_51))) (let ((_let_78 (_let_30))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.app V U)))) (let ((_let_81 (= tptp.nil _let_12))) (let ((_let_82 (not _let_18))) (let ((_let_83 (tptp.ssList _let_12))) (let ((_let_84 (not _let_83))) (let ((_let_85 (not _let_72))) (let ((_let_86 (or _let_85 _let_84 _let_82 _let_81))) (let ((_let_87 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_87))) (let ((_let_90 ((tptp.app U V)))) (let ((_let_91 (= tptp.nil _let_11))) (let ((_let_92 (not _let_81))) (let ((_let_93 (not _let_91))) (let ((_let_94 (or _let_93 _let_61 _let_67))) (let ((_let_95 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_67 _let_61 _let_93 (not _let_94)))) _let_71 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_93 false _let_46 false _let_19 false _let_94)))) (let ((_let_98 (or))) (let ((_let_99 (not _let_47))) (let ((_let_100 (REFL :args (_let_99)))) (let ((_let_101 (and _let_47 _let_93))) (let ((_let_102 (= _let_12 _let_11))) (let ((_let_103 (ASSUME :args (_let_93)))) (let ((_let_104 (=))) (let ((_let_105 (REFL :args (tptp.nil)))) (let ((_let_106 (_let_47))) (let ((_let_107 (APPLY_UF tptp.cons))) (let ((_let_108 (ASSUME :args _let_106))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (CONG (SYMM _let_109) _let_105 :args _let_107))) (let ((_let_111 (or _let_61 _let_67 _let_75))) (let ((_let_112 (_let_40))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_67 _let_61 _let_75 (not _let_111)))) _let_71 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_112)) _let_113 :args (_let_111 false _let_40)) :args (_let_75 false _let_46 false _let_19 false _let_111)))) (let ((_let_115 (and _let_47 _let_75))) (let ((_let_116 (ASSUME :args (_let_75)))) (let ((_let_117 (APPLY_UF tptp.ssList))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_110 :args _let_117) (TRUE_INTRO _let_116))) :args (_let_75 _let_47))) :args (_let_47 _let_75))) :args (true _let_115)) :args ((or _let_99 _let_83 _let_76))) _let_66 _let_114 :args (_let_83 false _let_47 false _let_75)))) (let ((_let_119 (ASSUME :args (_let_18)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_82 _let_84 _let_85 _let_81 (not _let_86)))) _let_119 _let_118 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 (MODUS_PONENS _let_108 (SCOPE _let_110 :args _let_106))) (SCOPE (FALSE_ELIM (TRANS (CONG _let_105 (SYMM (SYMM (ASSUME :args (_let_102)))) :args _let_104) (FALSE_INTRO _let_103))) :args (_let_93 _let_102))) :args (_let_47 _let_93))) :args (true _let_101)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_93) _let_91))) (REFL :args (_let_92)) :args _let_98)) _let_66 _let_97 :args (_let_92 false _let_47 true _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.sk7 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_86 false _let_87)) :args (_let_85 false _let_18 false _let_83 true _let_81 false _let_86)))) (let ((_let_121 (or _let_84 _let_82 _let_73))) (let ((_let_122 (_let_41))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 ((tptp.app V U)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_82 _let_84 _let_73 (not _let_121)))) _let_119 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_12 tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_122)) _let_123 :args (_let_121 false _let_41)) :args (_let_73 false _let_18 false _let_83 false _let_121)))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_74 _let_72 _let_51 (not _let_77)))) _let_114 _let_125 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_11 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78))) _let_79 :args (_let_77 false _let_30)) :args (_let_51 false _let_75 false _let_73 true _let_72 false _let_77)))) (let ((_let_127 (tptp.ssList _let_15))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.ssList _let_14))) (let ((_let_130 (not _let_129))) (let ((_let_131 (not _let_17))) (let ((_let_132 (or _let_131 _let_130 _let_128 _let_52))) (let ((_let_133 (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.app U V))) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList _let_1)) (tptp.frontsegP _let_1 U)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (_let_133))) (let ((_let_136 ((tptp.app U V)))) (let ((_let_137 (or _let_76 _let_74 _let_129))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_76 _let_74 _let_129 (not _let_137)))) _let_114 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_11 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_122)) _let_123 :args (_let_137 false _let_41)) :args (_let_129 false _let_75 false _let_73 false _let_137)))) (let ((_let_139 (ASSUME :args (_let_17)))) (let ((_let_140 (ASSUME :args (_let_22)))) (let ((_let_141 (ASSUME :args (_let_21)))) (let ((_let_142 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_16))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_141 _let_140) :args ((= tptp.sk1 _let_15) SB_DEFAULT SBA_FIXPOINT))) _let_141 _let_140))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO _let_142 :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_128 _let_131 _let_130 _let_52 (not _let_132)))) _let_143 _let_139 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_14 tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_132 false _let_133)) :args (_let_52 false _let_127 false _let_17 false _let_129 false _let_132)))) (let ((_let_145 (= tptp.nil _let_14))) (let ((_let_146 (or _let_131 _let_130 _let_145 _let_53))) (let ((_let_147 (not _let_145))) (let ((_let_148 (or _let_147 _let_76 _let_74 _let_91))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_76 _let_74 _let_91 _let_147 (not _let_148)))) _let_114 _let_125 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_13 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_89)) _let_88 :args (_let_148 false _let_87)) :args (_let_147 false _let_75 false _let_73 true _let_91 false _let_148)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_131 _let_145 _let_130 _let_53 (not _let_146)))) _let_139 _let_149 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.sk8 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_146 false _let_30)) :args (_let_53 false _let_17 true _let_145 false _let_129 false _let_146)))) (let ((_let_151 (= tptp.nil _let_15))) (let ((_let_152 (not _let_151))) (let ((_let_153 (or _let_152 _let_131 _let_130 _let_145))) (let ((_let_154 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_131 _let_152 _let_145 _let_130 (not _let_153)))) _let_139 _let_149 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_14 tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app U V)))) :args (_let_154))) _let_155 :args (_let_153 false _let_154)) :args (_let_152 false _let_17 true _let_145 false _let_129 false _let_153)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_142 :args ((or (= tptp.sk3 _let_3) _let_1) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_151 _let_54))) _let_156 :args (_let_54 true _let_151)))) (let ((_let_158 (not _let_7))) (let ((_let_159 (or _let_158 _let_67 _let_55))) (let ((_let_160 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((tptp.cons U V)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_67 _let_158 _let_55 (not _let_159)))) _let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_142 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) _let_156 :args (_let_7 true _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.sk9 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_159 false _let_160)) :args (_let_55 false _let_46 false _let_7 false _let_159)))) (let ((_let_165 (or _let_76 _let_56))) (let ((_let_166 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_167 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_168 (or _let_74 _let_57 _let_72))) (let ((_let_169 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.hd U) (tptp.tl U))) (= tptp.nil U))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (= _let_13 _let_14))) (let ((_let_172 (not _let_58))) (let ((_let_173 (tptp.frontsegP _let_14 _let_13))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_172 _let_130 _let_74 _let_171))) (let ((_let_176 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (_let_176))) (let ((_let_179 ((not (= (tptp.frontsegP U V) false))))) (let ((_let_180 (tptp.app tptp.sk7 _let_11))) (let ((_let_181 (= _let_14 _let_180))) (let ((_let_182 (not _let_171))) (let ((_let_183 (= tptp.sk7 _let_13))) (let ((_let_184 (not _let_181))) (let ((_let_185 (or _let_184 _let_74 _let_76 _let_82 _let_183))) (let ((_let_186 (_let_25))) (let ((_let_187 (ASSUME :args _let_186))) (let ((_let_188 (tptp.app tptp.sk7 tptp.nil))) (let ((_let_189 (= _let_188 _let_180))) (let ((_let_190 (= tptp.sk7 _let_188))) (let ((_let_191 (not _let_183))) (let ((_let_192 (not _let_189))) (let ((_let_193 (or _let_192 _let_67 _let_82 _let_76 _let_91))) (let ((_let_194 (_let_26))) (let ((_let_195 (ASSUME :args _let_194))) (let ((_let_196 (or _let_82 _let_190))) (let ((_let_197 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (not _let_190))) (let ((_let_200 (and _let_47 _let_190 _let_192))) (let ((_let_201 (ASSUME :args (_let_192)))) (let ((_let_202 (APPLY_UF tptp.app))) (let ((_let_203 (REFL :args (tptp.sk7)))) (let ((_let_204 (CONG _let_203 _let_110 :args _let_202))) (let ((_let_205 (ASSUME :args (_let_190)))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_200)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_201 _let_205 _let_108) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_205)) _let_204 :args _let_104) (FALSE_INTRO _let_201))) :args (_let_192 _let_190 _let_47))) :args (_let_47 _let_190 _let_192))) :args (true _let_200)) (CONG _let_100 (REFL :args (_let_199)) (MACRO_SR_PRED_INTRO :args ((= (not _let_192) _let_189))) (REFL :args (_let_191)) :args _let_98)) :args ((or _let_99 _let_199 _let_191 _let_189))) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_82 _let_190 (not _let_196)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_197))) _let_198 :args (_let_196 false _let_197)) :args (_let_190 false _let_18 false _let_196)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_67 _let_82 _let_76 _let_91 _let_192 (not _let_193)))) _let_71 _let_119 _let_114 _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_195 :args (tptp.sk7 tptp.nil _let_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_194)) _let_195 :args (_let_193 false _let_26)) :args (_let_192 false _let_46 false _let_18 false _let_75 true _let_91 false _let_193)) :args (_let_191 false _let_47 false _let_190 true _let_189)))) (let ((_let_207 (and _let_47 _let_184))) (let ((_let_208 (ASSUME :args (_let_184)))) (let ((_let_209 (REFL :args (_let_14)))) (let ((_let_210 (or _let_76 _let_74 _let_130 _let_173))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_76 _let_74 _let_130 _let_173 (not _let_210)))) _let_114 _let_125 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_13 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_210 false _let_133)) :args (_let_173 false _let_75 false _let_73 false _let_129 false _let_210)))) (let ((_let_212 (tptp.skaf82 tptp.sk7))) (let ((_let_213 (tptp.skaf83 tptp.sk7))) (let ((_let_214 (tptp.cons _let_213 _let_212))) (let ((_let_215 (= tptp.sk7 _let_214))) (let ((_let_216 (or _let_82 _let_215 _let_59))) (let ((_let_217 (= (tptp.hd tptp.sk7) _let_50))) (let ((_let_218 (or _let_84 _let_82 _let_59 _let_217))) (let ((_let_219 (= _let_213 (tptp.hd _let_214)))) (let ((_let_220 (= _let_214 (tptp.app (tptp.cons _let_213 tptp.nil) _let_212)))) (let ((_let_221 (tptp.frontsegP tptp.sk7 _let_13))) (let ((_let_222 (tptp.frontsegP (tptp.app _let_15 _let_212) _let_180))) (let ((_let_223 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (let ((_let_224 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_225 (tptp.ssList _let_212))) (let ((_let_226 (not _let_225))) (let ((_let_227 (tptp.ssItem _let_213))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_226 _let_219))) (let ((_let_230 (_let_44))) (let ((_let_231 (ASSUME :args _let_230))) (let ((_let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_231 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf82 U)))) :args _let_230)) _let_231 :args (_let_225 false _let_44)))) (let ((_let_233 (_let_45))) (let ((_let_234 (ASSUME :args _let_233))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_234 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf83 U)))) :args _let_233)) _let_234 :args (_let_227 false _let_45)))) (let ((_let_236 (or _let_228 _let_226 _let_220))) (let ((_let_237 (_let_31))) (let ((_let_238 (ASSUME :args _let_237))) (let ((_let_239 (not _let_221))) (let ((_let_240 (tptp.frontsegP _let_13 tptp.sk7))) (let ((_let_241 (not _let_240))) (let ((_let_242 (or _let_241 _let_239 _let_74 _let_82 _let_183))) (let ((_let_243 (or _let_84 _let_82 _let_74 _let_240))) (let ((_let_244 (tptp.ssList _let_180))) (let ((_let_245 (not _let_244))) (let ((_let_246 (tptp.frontsegP _let_15 _let_180))) (let ((_let_247 (not _let_246))) (let ((_let_248 (or _let_247 _let_226 _let_245 _let_128 _let_222))) (let ((_let_249 (_let_28))) (let ((_let_250 (ASSUME :args _let_249))) (let ((_let_251 (tptp.frontsegP _let_15 _let_13))) (let ((_let_252 (not _let_52))) (let ((_let_253 (or _let_252 _let_174 _let_74 _let_130 _let_128 _let_251))) (let ((_let_254 (_let_24))) (let ((_let_255 (ASSUME :args _let_254))) (let ((_let_256 (and _let_47 _let_251))) (let ((_let_257 (ASSUME :args (_let_251)))) (let ((_let_258 (APPLY_UF tptp.frontsegP))) (let ((_let_259 (CONG _let_203 (CONG _let_109 _let_105 :args _let_107) :args _let_202))) (let ((_let_260 (and _let_47 _let_73))) (let ((_let_261 (ASSUME :args (_let_73)))) (let ((_let_262 (not _let_222))) (let ((_let_263 (not _let_220))) (let ((_let_264 (not _let_219))) (let ((_let_265 (not _let_53))) (let ((_let_266 (not _let_51))) (let ((_let_267 (not _let_217))) (let ((_let_268 (not _let_215))) (let ((_let_269 (not _let_55))) (let ((_let_270 (not _let_54))) (let ((_let_271 (REFL :args (_let_265)))) (let ((_let_272 (REFL :args (_let_266)))) (let ((_let_273 (REFL :args (_let_269)))) (let ((_let_274 (REFL :args (_let_270)))) (let ((_let_275 (ASSUME :args (_let_239)))) (let ((_let_276 (ASSUME :args (_let_215)))) (let ((_let_277 (ASSUME :args (_let_220)))) (let ((_let_278 (ASSUME :args (_let_219)))) (let ((_let_279 (SYMM _let_278))) (let ((_let_280 (APPLY_UF tptp.hd))) (let ((_let_281 (CONG _let_276 :args _let_280))) (let ((_let_282 (TRANS _let_281 _let_279))) (let ((_let_283 (ASSUME :args (_let_217)))) (let ((_let_284 (ASSUME :args (_let_51)))) (let ((_let_285 (ASSUME :args (_let_53)))) (let ((_let_286 (SYMM _let_285))) (let ((_let_287 (ASSUME :args (_let_54)))) (let ((_let_288 (ASSUME :args (_let_55)))) (let ((_let_289 (TRANS (SYMM (SYMM _let_288)) (CONG (SYMM _let_287) :args _let_280)))) (let ((_let_290 (ASSUME :args (_let_222)))) (let ((_let_291 (not _let_57))) (let ((_let_292 (not _let_56))) (let ((_let_293 (not _let_48))) (let ((_let_294 (not _let_59))) (let ((_let_295 (ASSUME :args (_let_172)))) (let ((_let_296 (ASSUME :args (_let_57)))) (let ((_let_297 (APPLY_UF tptp.tl))) (let ((_let_298 (CONG _let_259 :args _let_297))) (let ((_let_299 (CONG _let_259 :args _let_280))) (let ((_let_300 (ASSUME :args (_let_59)))) (let ((_let_301 (ASSUME :args (_let_56)))) (let ((_let_302 (ASSUME :args (_let_48)))) (let ((_let_303 (ASSUME :args (_let_52)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_295 _let_108 _let_296 _let_284 _let_285 _let_287 _let_288 _let_300 _let_301 _let_302 _let_303) :args (_let_54 _let_47 _let_59 _let_48 _let_55 _let_51 _let_53 _let_52 _let_56 _let_57 _let_172)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_303)) (CONG (TRANS (TRANS _let_287 (CONG (TRANS _let_289 (SYMM (TRANS _let_299 _let_284 _let_286))) (TRANS (SYMM (SYMM _let_302)) (CONG (TRANS (SYMM (SYMM _let_301)) (CONG (SYMM (SYMM _let_300)) (REFL :args (_let_11)) :args _let_202) _let_259) :args _let_297) (SYMM _let_298)) :args _let_107) (CONG _let_299 _let_298 :args _let_107) (SYMM _let_296) (SYMM _let_259)) _let_259) _let_209 :args _let_258) (FALSE_INTRO _let_295))) :args (_let_172 _let_47 _let_57 _let_51 _let_53 _let_54 _let_55 _let_59 _let_56 _let_48 _let_52)) :args ((not (and _let_54 _let_47 _let_59 _let_48 _let_55 _let_51 _let_53 _let_52 _let_56 _let_57 _let_172)) SB_LITERAL))) (CONG _let_274 _let_100 (REFL :args (_let_294)) (REFL :args (_let_293)) _let_273 _let_272 _let_271 (REFL :args (_let_252)) (REFL :args (_let_292)) (REFL :args (_let_291)) (MACRO_SR_PRED_INTRO :args ((= (not _let_172) _let_58))) :args _let_98)) :args ((or _let_270 _let_99 _let_294 _let_293 _let_269 _let_266 _let_265 _let_252 _let_58 _let_292 _let_291))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_275 _let_276 _let_277 _let_278 _let_283 _let_284 _let_285 _let_287 _let_288 _let_108 _let_290) :args (_let_54 _let_47 _let_55 _let_215 _let_217 _let_51 _let_53 _let_219 _let_220 _let_239 _let_222)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_290)) (CONG (TRANS (CONG (TRANS (TRANS _let_287 (CONG (TRANS _let_289 (TRANS (SYMM _let_286) (SYMM _let_284) (SYMM _let_283) _let_281 _let_279) (SYMM _let_282)) _let_105 :args _let_107)) (CONG _let_282 _let_105 :args _let_107)) (REFL :args (_let_212)) :args _let_202) (SYMM _let_277) (SYMM _let_276)) _let_259 :args _let_258) (FALSE_INTRO _let_275))) :args (_let_239 _let_215 _let_220 _let_219 _let_217 _let_51 _let_53 _let_54 _let_55 _let_47 _let_222)) :args ((not (and _let_54 _let_47 _let_55 _let_215 _let_217 _let_51 _let_53 _let_219 _let_220 _let_239 _let_222)) SB_LITERAL))) (CONG _let_274 _let_100 _let_273 (REFL :args (_let_268)) (REFL :args (_let_267)) _let_272 _let_271 (REFL :args (_let_264)) (REFL :args (_let_263)) (MACRO_SR_PRED_INTRO :args ((= (not _let_239) _let_221))) (REFL :args (_let_262)) :args _let_98)) :args ((or _let_270 _let_99 _let_269 _let_268 _let_267 _let_266 _let_265 _let_221 _let_264 _let_263 _let_262))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_128 _let_245 _let_226 _let_247 _let_222 (not _let_248)))) _let_143 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_260)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_261 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_259 :args _let_117) (TRUE_INTRO _let_261))) :args (_let_73 _let_47))) :args (_let_47 _let_73))) :args (true _let_260)) _let_66 _let_125 :args (_let_244 false _let_47 false _let_73)) _let_232 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_256)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_257 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_15)) _let_259 :args _let_258) (TRUE_INTRO _let_257))) :args (_let_251 _let_47))) :args (_let_47 _let_251))) :args (true _let_256)) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_128 _let_74 _let_130 _let_174 _let_252 _let_251 (not _let_253)))) _let_143 _let_125 _let_138 _let_211 _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_255 :args (_let_15 _let_14 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.frontsegP U V) false)) (not (= (tptp.frontsegP V W) false))))) :args _let_254)) _let_255 :args (_let_253 false _let_24)) :args (_let_251 false _let_127 false _let_73 false _let_129 false _let_173 false _let_52 false _let_253)) :args (_let_246 false _let_47 false _let_251)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_250 :args (_let_15 _let_180 _let_212 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_249)) _let_250 :args (_let_248 false _let_28)) :args (_let_222 false _let_127 false _let_244 false _let_225 false _let_246 false _let_248)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_242)) :args ((or _let_82 _let_74 _let_183 _let_241 _let_239 (not _let_242)))) _let_119 _let_125 _let_206 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_243)) :args ((or _let_82 _let_84 _let_74 _let_240 (not _let_243)))) _let_119 _let_118 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.sk7 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_243 false _let_133)) :args (_let_240 false _let_18 false _let_83 false _let_73 false _let_243)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_13 tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_179)) :args _let_178))) _let_177 :args (_let_242 false _let_176)) :args (_let_239 false _let_18 false _let_73 true _let_183 false _let_240 false _let_242)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_236)) :args ((or _let_228 _let_226 _let_220 (not _let_236)))) _let_235 _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_238 :args (_let_213 _let_212 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_237))) _let_238 :args (_let_236 false _let_31)) :args (_let_220 false _let_227 false _let_225 false _let_236)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_228 _let_226 _let_219 (not _let_229)))) _let_235 _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (_let_213 _let_212 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_229 false _let_160)) :args (_let_219 false _let_227 false _let_225 false _let_229)) _let_164 _let_157 _let_150 _let_126 _let_66 (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_82 _let_59 _let_84 _let_217 (not _let_218)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_12 tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78))) _let_79 :args (_let_218 false _let_30)) _let_119 (REORDERING (CNF_OR_POS :args (_let_216)) :args ((or _let_82 _let_59 _let_215 (not _let_216)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_223))) _let_224 :args (_let_216 false _let_223)) _let_119 :args (_let_59 false _let_222 true _let_221 false _let_220 false _let_219 false _let_55 false _let_54 false _let_53 false _let_51 false _let_47 false _let_217 false _let_83 false _let_218 false _let_18 false _let_215 false _let_216 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_74 _let_130 _let_174 _let_172 _let_171 (not _let_175)))) _let_125 _let_138 _let_211 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_207)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_108) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_209 _let_204 :args _let_104) (FALSE_INTRO _let_208)) :args ((= _let_171 false)))) :args (_let_184 _let_47))) :args (_let_47 _let_184))) :args (true _let_207)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_184) _let_181))) (REFL :args (_let_182)) :args _let_98)) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_82 _let_76 _let_74 _let_183 _let_184 (not _let_185)))) _let_119 _let_114 _let_125 _let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_13 _let_11 tptp.sk7 QUANTIFIERS_INST_E_MATCHING ((tptp.app U V) (tptp.app W V)))) :args _let_186))) _let_187 :args (_let_185 false _let_25)) :args (_let_184 false _let_18 false _let_75 false _let_73 true _let_183 false _let_185)) :args (_let_182 false _let_47 true _let_181)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_177 :args (_let_14 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_179)) :args _let_178))) _let_177 :args (_let_175 false _let_176)) :args (_let_172 false _let_73 false _let_129 false _let_173 true _let_171 false _let_175)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_74 _let_72 _let_57 (not _let_168)))) _let_125 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.hd U)))) :args (_let_169))) _let_170 :args (_let_168 false _let_169)) :args (_let_57 false _let_73 true _let_72 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_165)) :args ((or _let_76 _let_56 (not _let_165)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_166))) _let_167 :args (_let_165 false _let_166)) :args (_let_56 false _let_75 false _let_165)) _let_164 _let_157 _let_150 _let_144 _let_126 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_61 _let_48 (not _let_68)))) _let_71 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_48 false _let_46 false _let_19 false _let_68)) _let_66 :args (false false _let_59 true _let_58 false _let_57 false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_51 false _let_48 false _let_47)) :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_46 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) _let_45 _let_44 (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))) _let_43 _let_42 (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))) _let_41 _let_40 (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 $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) _let_39 _let_38 _let_37 (forall ((U $$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))) _let_36 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) _let_35 (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))) _let_34 (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_33 _let_32 _let_31 (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))) _let_30 (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))) _let_29 (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 $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) _let_28 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) _let_27 (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) _let_26 _let_25 (forall ((U $$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 $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) _let_24 (forall ((U $$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_23 (tptp.ssList tptp.sk2) (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_10 (or _let_7 _let_6) _let_8 (or _let_4 _let_6) (or _let_2 _let_6) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk9 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk9 A)) (= tptp.nil tptp.sk4))) _let_5 (or _let_2 _let_1) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk9 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk9 A)) (= tptp.nil tptp.sk3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 48.34/48.59 )
% 48.34/48.59 % SZS output end Proof for SWC171-1
% 48.34/48.59 % cvc5---1.0.5 exiting
% 48.34/48.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------