TSTP Solution File: SWC211-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC211-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:24:02 EDT 2023
% Result : Unsatisfiable 76.70s 76.91s
% Output : Proof 76.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SWC211-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 16:31:04 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kOQpzByK9N/cvc5---1.0.5_8476.p...
% 0.19/0.52 ------- get file name : TPTP file name is SWC211-1
% 0.19/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8476.smt2...
% 0.19/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.50/10.72 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.58/15.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.38/20.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/25.80 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.63/30.84 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.57/35.88 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.63/40.91 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.74/45.95 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.76/50.98 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.81/56.04 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.86/61.07 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.85/66.14 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.93/76.18 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.70/76.91 % SZS status Unsatisfiable for SWC211-1
% 76.70/76.91 % SZS output start Proof for SWC211-1
% 76.70/76.92 (
% 76.70/76.92 (let ((_let_1 (= tptp.nil tptp.sk4))) (let ((_let_2 (not _let_1))) (let ((_let_3 (= tptp.nil tptp.sk3))) (let ((_let_4 (not (tptp.neq tptp.sk1 tptp.nil)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (= (tptp.app B _let_1) tptp.sk3) (not (= (tptp.app _let_1 B) tptp.sk4))))))) (let ((_let_6 (tptp.neq tptp.sk2 tptp.nil))) (let ((_let_7 (= tptp.sk1 tptp.sk3))) (let ((_let_8 (= tptp.sk2 tptp.sk4))) (let ((_let_9 (tptp.ssList tptp.sk4))) (let ((_let_10 (tptp.ssList tptp.sk3))) (let ((_let_11 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))) (let ((_let_15 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_22 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_23 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_24 (tptp.ssList tptp.nil))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_26 (tptp.neq tptp.sk3 tptp.nil))) (let ((_let_27 (not _let_10))) (let ((_let_28 (not _let_24))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_3))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (AND_INTRO (ASSUME :args (_let_7)) (ASSUME :args (_let_8))))) (let ((_let_33 (ASSUME :args (_let_24)))) (let ((_let_34 (tptp.skaf82 tptp.sk4))) (let ((_let_35 (tptp.skaf83 tptp.sk4))) (let ((_let_36 (tptp.cons _let_35 _let_34))) (let ((_let_37 (= tptp.sk4 _let_36))) (let ((_let_38 (not _let_3))) (let ((_let_39 (not _let_9))) (let ((_let_40 (or _let_39 _let_37 _let_1))) (let ((_let_41 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (ASSUME :args (_let_9)))) (let ((_let_44 (tptp.neq tptp.sk4 tptp.sk4))) (let ((_let_45 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_46 (not _let_44))) (let ((_let_47 (or _let_46 _let_39))) (let ((_let_48 (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (ASSUME :args (_let_1)))) (let ((_let_53 (ASSUME :args (_let_46)))) (let ((_let_54 (tptp.cons _let_35 tptp.nil))) (let ((_let_55 (tptp.app _let_54 _let_34))) (let ((_let_56 (= _let_36 _let_55))) (let ((_let_57 (= tptp.sk4 _let_55))) (let ((_let_58 (tptp.app tptp.sk4 tptp.nil))) (let ((_let_59 (= tptp.sk4 _let_58))) (let ((_let_60 (= tptp.nil _let_36))) (let ((_let_61 (= tptp.nil _let_58))) (let ((_let_62 (= _let_35 (tptp.hd _let_36)))) (let ((_let_63 (tptp.ssList _let_54))) (let ((_let_64 (tptp.cons (tptp.hd tptp.sk4) tptp.nil))) (let ((_let_65 (tptp.ssList _let_64))) (let ((_let_66 (tptp.ssItem _let_35))) (let ((_let_67 (tptp.ssList _let_34))) (let ((_let_68 (not _let_57))) (let ((_let_69 (tptp.app _let_34 _let_54))) (let ((_let_70 (= tptp.sk3 _let_69))) (let ((_let_71 (not _let_67))) (let ((_let_72 (not _let_66))) (let ((_let_73 (or _let_72 _let_71 _let_70 _let_68))) (let ((_let_74 (= _let_64 (tptp.app tptp.nil _let_64)))) (let ((_let_75 (not _let_65))) (let ((_let_76 (or _let_75 _let_74))) (let ((_let_77 (= tptp.nil _let_69))) (let ((_let_78 (= tptp.nil _let_34))) (let ((_let_79 (not _let_63))) (let ((_let_80 (not _let_77))) (let ((_let_81 (or _let_80 _let_79 _let_71 _let_78))) (let ((_let_82 (= tptp.sk4 (tptp.app tptp.nil tptp.sk4)))) (let ((_let_83 (= _let_54 (tptp.app _let_54 tptp.nil)))) (let ((_let_84 (= (tptp.app (tptp.app tptp.nil _let_54) _let_34) (tptp.app tptp.nil _let_55)))) (let ((_let_85 (not _let_37))) (let ((_let_86 (or _let_72 _let_71 _let_56))) (let ((_let_87 (_let_12))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.cons U V)))) (let ((_let_90 (_let_22))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf82 U)))) :args _let_90)) _let_91 :args (_let_67 false _let_22)))) (let ((_let_93 (_let_23))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf83 U)))) :args _let_93)) _let_94 :args (_let_66 false _let_23)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_72 _let_71 _let_56 (not _let_86)))) _let_95 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_35 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87))) _let_88 :args (_let_86 false _let_12)) :args (_let_56 false _let_66 false _let_67 false _let_86)))) (let ((_let_97 (and _let_37 _let_56))) (let ((_let_98 (ASSUME :args (_let_56)))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (ASSUME :args (_let_37)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (or _let_39 _let_59))) (let ((_let_104 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_39 _let_59 (not _let_103)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_59 false _let_9 false _let_103)))) (let ((_let_107 (not _let_60))) (let ((_let_108 (or _let_107 _let_72 _let_71))) (let ((_let_109 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (not _let_59))) (let ((_let_112 (and _let_59 _let_37 _let_107))) (let ((_let_113 (ASSUME :args (_let_107)))) (let ((_let_114 (ASSUME :args (_let_59)))) (let ((_let_115 (REFL :args (tptp.nil)))) (let ((_let_116 (or _let_72 _let_71 _let_62))) (let ((_let_117 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_72 _let_71 _let_62 (not _let_116)))) _let_95 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_35 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_117))) _let_118 :args (_let_116 false _let_117)) :args (_let_62 false _let_66 false _let_67 false _let_116)))) (let ((_let_120 (or _let_72 _let_28 _let_63))) (let ((_let_121 (_let_19))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_28 _let_72 _let_63 (not _let_120)))) _let_33 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_35 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_121)) _let_122 :args (_let_120 false _let_19)) :args (_let_63 false _let_24 false _let_66 false _let_120)))) (let ((_let_124 (not _let_62))) (let ((_let_125 (and _let_37 _let_62 _let_63))) (let ((_let_126 (ASSUME :args (_let_63)))) (let ((_let_127 (APPLY_UF tptp.cons))) (let ((_let_128 (ASSUME :args (_let_62)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (APPLY_UF tptp.hd))) (let ((_let_131 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (= tptp.sk3 (tptp.app B _let_1)) (not (= tptp.sk4 (tptp.app _let_1 B)))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_134 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_135 (_let_133))) (let ((_let_136 ((not (= (tptp.ssList U) false))))) (let ((_let_137 (and _let_3 _let_70))) (let ((_let_138 (ASSUME :args (_let_70)))) (let ((_let_139 (SYMM (SYMM _let_138)))) (let ((_let_140 (ASSUME :args (_let_3)))) (let ((_let_141 (SYMM (SYMM _let_140)))) (let ((_let_142 (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_143 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (or _let_39 _let_82))) (let ((_let_145 (or _let_72 _let_28 _let_83))) (let ((_let_146 (or _let_71 _let_79 _let_28 _let_84))) (let ((_let_147 (_let_11))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 (and _let_3 _let_59 _let_82 _let_37 _let_62 _let_56 _let_78 _let_74 _let_83 _let_84 _let_70))) (let ((_let_150 (ASSUME :args (_let_82)))) (let ((_let_151 (APPLY_UF tptp.app))) (let ((_let_152 (ASSUME :args (_let_84)))) (let ((_let_153 (ASSUME :args (_let_78)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (CONG (TRANS (CONG _let_100 :args _let_130) _let_129) _let_115 :args _let_127))) (let ((_let_156 (CONG _let_115 _let_155 :args _let_151))) (let ((_let_157 (ASSUME :args (_let_74)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_83)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.nil tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_25))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_3 _let_28 _let_26 _let_27 _let_31))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_150 _let_100 _let_98 _let_152 _let_128 _let_157 _let_153 _let_159 _let_138 _let_140) (SCOPE (TRANS _let_141 _let_139 (CONG _let_154 (REFL :args (_let_54)) :args _let_151) (SYMM _let_156) _let_158 _let_155 (SYMM (SYMM _let_159)) (CONG (TRANS (SYMM _let_155) (SYMM _let_158) _let_156) (SYMM _let_154) :args _let_151) (SYMM (SYMM _let_152)) (CONG _let_115 _let_99 :args _let_151) (CONG _let_115 _let_101 :args _let_151) (SYMM _let_150) (SYMM (SYMM _let_114))) :args (_let_59 _let_82 _let_37 _let_56 _let_84 _let_62 _let_74 _let_78 _let_83 _let_70 _let_3))) :args (_let_3 _let_59 _let_82 _let_37 _let_62 _let_56 _let_78 _let_74 _let_83 _let_84 _let_70))) :args (true _let_149)) :args ((or _let_38 _let_111 (not _let_82) _let_85 _let_61 _let_124 (not _let_56) (not _let_78) (not _let_74) (not _let_83) (not _let_84) (not _let_70)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_146)) :args ((or _let_28 _let_71 _let_79 _let_84 (not _let_146)))) _let_33 _let_92 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_34 _let_54 tptp.nil QUANTIFIERS_INST_E_MATCHING ((tptp.app W (tptp.app V U))))) :args _let_147)) _let_148 :args (_let_146 false _let_11)) :args (_let_84 false _let_24 false _let_67 false _let_63 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_28 _let_72 _let_83 (not _let_145)))) _let_33 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_35 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_87))) _let_88 :args (_let_145 false _let_12)) :args (_let_83 false _let_24 false _let_66 false _let_145)) _let_96 _let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_39 _let_82 (not _let_144)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_144 false _let_133)) :args (_let_82 false _let_9 false _let_144)) _let_106 (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_71 _let_78 _let_79 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_34 _let_54 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_142))) _let_143 :args (_let_81 false _let_142)) _let_123 _let_92 (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_138 _let_140) (SCOPE (TRANS _let_141 _let_139) :args (_let_70 _let_3))) :args (_let_3 _let_70))) :args (true _let_137)) (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_75 _let_74 (not _let_76)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_136)) :args _let_135)) _let_134 :args (_let_76 false _let_133)) (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_71 _let_70 _let_68 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_35 _let_34 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.cons A tptp.nil) B)))) :args (_let_131))) _let_132 :args (_let_73 false _let_131)) _let_92 _let_95 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_128 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (TRANS (CONG _let_102 :args _let_130) _let_129) _let_115 :args _let_127) :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_126))) :args (_let_63 _let_62 _let_37))) :args (_let_37 _let_62 _let_63))) :args (true _let_125)) :args ((or _let_85 _let_65 _let_124 _let_79))) _let_123 _let_119 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_112)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_100 _let_114) (SCOPE (FALSE_ELIM (TRANS (CONG _let_115 (SYMM (TRANS _let_101 _let_114)) :args (=)) (FALSE_INTRO _let_113))) :args (_let_107 _let_37 _let_59))) :args (_let_59 _let_37 _let_107))) :args (true _let_112)) (CONG (REFL :args (_let_111)) (REFL :args (_let_85)) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_60))) (REFL :args ((not _let_61))) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_72 _let_71 _let_107 (not _let_108)))) _let_95 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_35 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_66 false _let_67 false _let_108)) _let_106 (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_100) (SCOPE (TRANS _let_102 (SYMM _let_99)) :args (_let_56 _let_37))) :args (_let_37 _let_56))) :args (true _let_97)) _let_96 :args ((or _let_38 _let_85) false _let_84 false _let_83 false _let_56 false _let_62 false _let_82 false _let_59 false _let_78 false _let_81 false _let_63 false _let_67 false _let_77 false _let_74 false _let_76 false _let_70 false _let_73 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 true _let_61 true _let_60 false _let_59 false _let_57 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_1 _let_39 _let_37 (not _let_40)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_50 _let_52 _let_53) :args (_let_1 _let_45 _let_46)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_53)) (CONG (REFL :args (tptp.sk4)) (SYMM _let_52) :args (APPLY_UF tptp.neq)) (TRUE_INTRO _let_50))) :args (_let_45 _let_1 _let_46)) :args ((not (and _let_1 _let_45 _let_46)) SB_LITERAL))) (CONG (REFL :args (_let_2)) (REFL :args ((not _let_45))) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_44))) :args _let_51)) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_39 _let_46 (not _let_47)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList V) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_46 false _let_9 false _let_47)) :args (_let_2 false _let_45 true _let_44)) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_37 true _let_1 false _let_9 false _let_40)) :args (_let_38 false _let_37)) _let_33 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_32 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_10)) :args (_let_31 true _let_3 false _let_24 true _let_26 false _let_10)) _let_30 :args (false true _let_29 false _let_25)) :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_24 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) _let_23 _let_22 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) _let_21 _let_20 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) _let_19 (forall ((U $$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))) _let_18 _let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_16 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not 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(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))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) _let_11 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (tptp.ssList tptp.sk1) (tptp.ssList tptp.sk2) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (or _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 76.70/76.92 )
% 76.70/76.92 % SZS output end Proof for SWC211-1
% 76.70/76.92 % cvc5---1.0.5 exiting
% 76.70/76.93 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------