TSTP Solution File: SWC161-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC161-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 20:23:41 EDT 2023
% Result : Unsatisfiable 80.21s 80.40s
% Output : Proof 80.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC161-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.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 18:22:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KdKgNYUFyi/cvc5---1.0.5_20088.p...
% 0.22/0.53 ------- get file name : TPTP file name is SWC161-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20088.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.60/10.77 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.57/15.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.68/20.83 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.57/25.89 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.87/31.04 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.93/36.10 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.98/41.21 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.18/46.41 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.32/51.49 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.32/56.51 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.39/61.59 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.52/66.73 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.66/76.85 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 80.21/80.40 % SZS status Unsatisfiable for SWC161-1
% 80.21/80.40 % SZS output start Proof for SWC161-1
% 80.21/80.42 (
% 80.21/80.42 (let ((_let_1 (tptp.leq tptp.sk7 tptp.sk8))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.leq tptp.sk8 tptp.sk7))) (let ((_let_4 (tptp.cons tptp.sk8 tptp.nil))) (let ((_let_5 (tptp.cons tptp.sk7 tptp.nil))) (let ((_let_6 (tptp.app tptp.sk9 _let_5))) (let ((_let_7 (tptp.app _let_6 tptp.sk10))) (let ((_let_8 (tptp.app (tptp.app _let_7 _let_4) tptp.sk11))) (let ((_let_9 (= _let_8 tptp.sk1))) (let ((_let_10 (tptp.ssList tptp.sk11))) (let ((_let_11 (tptp.ssList tptp.sk10))) (let ((_let_12 (tptp.ssList tptp.sk9))) (let ((_let_13 (tptp.ssItem tptp.sk8))) (let ((_let_14 (tptp.ssItem tptp.sk7))) (let ((_let_15 (tptp.strictorderedP tptp.sk3))) (let ((_let_16 (= (tptp.app (tptp.app tptp.sk5 tptp.sk3) tptp.sk6) tptp.sk4))) (let ((_let_17 (= tptp.sk1 tptp.sk3))) (let ((_let_18 (= tptp.sk2 tptp.sk4))) (let ((_let_19 (tptp.ssList tptp.sk1))) (let ((_let_20 (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))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))) (let ((_let_22 (forall ((U $$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_23 (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))))) (let ((_let_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))) (let ((_let_29 (tptp.ssList tptp.nil))) (let ((_let_30 (tptp.lt tptp.sk7 tptp.sk7))) (let ((_let_31 (tptp.lt tptp.sk7 tptp.sk8))) (let ((_let_32 (= tptp.sk7 tptp.sk8))) (let ((_let_33 (not _let_14))) (let ((_let_34 (not _let_30))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_28))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (ASSUME :args (_let_14)))) (let ((_let_39 (tptp.app (tptp.app tptp.sk9 (tptp.cons tptp.sk7 tptp.sk10)) (tptp.cons tptp.sk8 tptp.sk11)))) (let ((_let_40 (tptp.ssList _let_39))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.strictorderedP _let_39))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_13))) (let ((_let_45 (not _let_12))) (let ((_let_46 (not _let_11))) (let ((_let_47 (not _let_10))) (let ((_let_48 (or _let_47 _let_46 _let_45 _let_44 _let_33 _let_43 _let_41 _let_31))) (let ((_let_49 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP _let_1)) (not (tptp.ssList _let_1)) (tptp.lt V X)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.app tptp.nil tptp.sk10))) (let ((_let_52 (tptp.app _let_5 tptp.sk10))) (let ((_let_53 (= _let_52 (tptp.cons tptp.sk7 _let_51)))) (let ((_let_54 (tptp.app tptp.nil tptp.sk11))) (let ((_let_55 (tptp.app _let_4 tptp.sk11))) (let ((_let_56 (= _let_55 (tptp.cons tptp.sk8 _let_54)))) (let ((_let_57 (= _let_8 (tptp.app _let_7 _let_55)))) (let ((_let_58 (= _let_7 (tptp.app tptp.sk9 _let_52)))) (let ((_let_59 (= tptp.sk11 _let_54))) (let ((_let_60 (= tptp.sk10 _let_51))) (let ((_let_61 (= tptp.sk9 (tptp.app tptp.nil tptp.sk9)))) (let ((_let_62 (tptp.ssList _let_8))) (let ((_let_63 (not _let_29))) (let ((_let_64 (or _let_33 _let_63 _let_46 _let_53))) (let ((_let_65 (_let_21))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((tptp.app (tptp.cons U V) W)))) (let ((_let_68 (ASSUME :args (_let_11)))) (let ((_let_69 (ASSUME :args (_let_29)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_33 _let_46 _let_53 (not _let_64)))) _let_69 _let_38 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk7 tptp.nil tptp.sk10 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65))) _let_66 :args (_let_64 false _let_21)) :args (_let_53 false _let_29 false _let_14 false _let_11 false _let_64)))) (let ((_let_71 (or _let_44 _let_63 _let_47 _let_56))) (let ((_let_72 (ASSUME :args (_let_10)))) (let ((_let_73 (ASSUME :args (_let_13)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_63 _let_44 _let_47 _let_56 (not _let_71)))) _let_69 _let_73 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.sk8 tptp.nil tptp.sk11 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65))) _let_66 :args (_let_71 false _let_21)) :args (_let_56 false _let_29 false _let_13 false _let_10 false _let_71)))) (let ((_let_75 (tptp.ssList _let_7))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.ssList _let_4))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_47 _let_78 _let_76 _let_57))) (let ((_let_80 (_let_22))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.app (tptp.app W V) U)))) (let ((_let_83 (tptp.ssList _let_6))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_46 _let_84 _let_75))) (let ((_let_86 (_let_26))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.app V U)))) (let ((_let_89 (tptp.ssList _let_5))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_45 _let_83))) (let ((_let_92 (or _let_33 _let_63 _let_89))) (let ((_let_93 (_let_25))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.cons U V)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_63 _let_33 _let_89 (not _let_92)))) _let_69 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_92 false _let_25)) :args (_let_89 false _let_29 false _let_14 false _let_92)))) (let ((_let_97 (ASSUME :args (_let_12)))) (let ((_let_98 (or _let_44 _let_63 _let_77))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_47 _let_78 _let_76 _let_57 (not _let_79)))) _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_63 _let_44 _let_77 (not _let_98)))) _let_69 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sk8 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_98 false _let_25)) :args (_let_77 false _let_29 false _let_13 false _let_98)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_46 _let_84 _let_75 (not _let_85)))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_45 _let_90 _let_83 (not _let_91)))) _let_97 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_5 tptp.sk9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)) _let_87 :args (_let_91 false _let_26)) :args (_let_83 false _let_12 false _let_89 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk10 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)) _let_87 :args (_let_85 false _let_26)) :args (_let_75 false _let_11 false _let_83 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sk11 _let_4 _let_7 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_79 false _let_22)) :args (_let_57 false _let_10 false _let_77 false _let_75 false _let_79)))) (let ((_let_100 (or _let_46 _let_90 _let_45 _let_58))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_45 _let_46 _let_90 _let_58 (not _let_100)))) _let_97 _let_68 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sk10 _let_5 tptp.sk9 QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_80)) _let_81 :args (_let_100 false _let_22)) :args (_let_58 false _let_12 false _let_11 false _let_89 false _let_100)))) (let ((_let_102 (or _let_47 _let_59))) (let ((_let_103 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((not (= (tptp.ssList U) false))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_47 _let_59 (not _let_102)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_102 false _let_103)) :args (_let_59 false _let_10 false _let_102)))) (let ((_let_108 (or _let_46 _let_60))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_46 _let_60 (not _let_108)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_108 false _let_103)) :args (_let_60 false _let_11 false _let_108)))) (let ((_let_110 (or _let_45 _let_61))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_45 _let_61 (not _let_110)))) _let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_110 false _let_103)) :args (_let_61 false _let_12 false _let_110)))) (let ((_let_112 (ASSUME :args (_let_18)))) (let ((_let_113 (ASSUME :args (_let_17)))) (let ((_let_114 (SYMM (ASSUME :args (_let_16))))) (let ((_let_115 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_9))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_114 _let_113 _let_112) :args ((= tptp.sk1 _let_8) SB_DEFAULT SBA_FIXPOINT))) _let_114 _let_113 _let_112))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO _let_115 :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (and _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_53))) (let ((_let_118 (ASSUME :args (_let_57)))) (let ((_let_119 (APPLY_UF tptp.app))) (let ((_let_120 (ASSUME :args (_let_56)))) (let ((_let_121 (APPLY_UF tptp.cons))) (let ((_let_122 (ASSUME :args (_let_59)))) (let ((_let_123 (ASSUME :args (_let_58)))) (let ((_let_124 (ASSUME :args (_let_61)))) (let ((_let_125 (ASSUME :args (_let_53)))) (let ((_let_126 (ASSUME :args (_let_60)))) (let ((_let_127 (REFL :args (tptp.sk7)))) (let ((_let_128 (TRANS (CONG (TRANS (CONG _let_124 (TRANS (CONG _let_127 (SYMM (SYMM _let_126)) :args _let_121) (SYMM _let_125)) :args _let_119) (CONG (SYMM _let_124) (REFL :args (_let_52)) :args _let_119) (SYMM _let_123)) (TRANS (CONG (REFL :args (tptp.sk8)) (SYMM (SYMM _let_122)) :args _let_121) (SYMM _let_120)) :args _let_119) (SYMM _let_118)))) (let ((_let_129 (tptp.strictorderedP _let_8))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO _let_115 :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (and _let_129 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_53))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_33 _let_44 _let_45 _let_46 _let_47 _let_31 _let_43 _let_41 (not _let_48)))) _let_38 _let_73 _let_97 _let_68 _let_72 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_131)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_118 _let_123 _let_124 _let_125 _let_126 _let_120 _let_122) (SCOPE (TRUE_ELIM (TRANS (CONG _let_128 :args (APPLY_UF tptp.strictorderedP)) (TRUE_INTRO _let_130))) :args (_let_129 _let_57 _let_58 _let_61 _let_53 _let_60 _let_56 _let_59))) :args (_let_129 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_53))) :args (true _let_131)) _let_130 _let_111 _let_109 _let_107 _let_101 _let_99 _let_74 _let_70 :args (_let_42 false _let_129 false _let_61 false _let_60 false _let_59 false _let_58 false _let_57 false _let_56 false _let_53)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_118 _let_123 _let_124 _let_125 _let_126 _let_120 _let_122) (SCOPE (TRUE_ELIM (TRANS (CONG _let_128 :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_116))) :args (_let_62 _let_57 _let_58 _let_61 _let_53 _let_60 _let_56 _let_59))) :args (_let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_53))) :args (true _let_117)) _let_116 _let_111 _let_109 _let_107 _let_101 _let_99 _let_74 _let_70 :args (_let_40 false _let_62 false _let_61 false _let_60 false _let_59 false _let_58 false _let_57 false _let_56 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.sk9 tptp.sk7 tptp.sk10 tptp.sk8 tptp.sk11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_31 false _let_14 false _let_13 false _let_12 false _let_11 false _let_10 false _let_42 false _let_40 false _let_48)))) (let ((_let_133 (not _let_3))) (let ((_let_134 (or _let_133 _let_2 _let_44 _let_33 _let_32))) (let ((_let_135 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= U V))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (not _let_31))) (let ((_let_138 (or _let_137 _let_44 _let_33 _let_1))) (let ((_let_139 (_let_24))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 (ASSUME :args (_let_34)))) (let ((_let_142 (ASSUME :args (_let_32)))) (let ((_let_143 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_141 _let_142 _let_143) :args (_let_32 _let_34 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_143)) (CONG _let_127 (SYMM _let_142) :args (APPLY_UF tptp.lt)) (FALSE_INTRO _let_141))) :args (_let_34 _let_32 _let_31)) :args ((not (and _let_32 _let_34 _let_31)) SB_LITERAL))) (CONG (REFL :args ((not _let_32))) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_137)) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_2 _let_33 _let_44 _let_133 _let_32 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_1 _let_33 _let_44 _let_137 (not _let_138)))) _let_38 _let_73 _let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.sk7 tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq U V) true))))) :args _let_139)) _let_140 :args (_let_138 false _let_24)) :args (_let_1 false _let_14 false _let_13 false _let_31 false _let_138)) _let_38 _let_73 (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.sk8 tptp.sk7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_135)))) _let_136 :args (_let_134 false _let_135)) :args (_let_32 false _let_1 false _let_14 false _let_13 false _let_3 false _let_134)) _let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_33 _let_34 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_28)) :args (_let_34 false _let_14 false _let_35)) :args (false false _let_32 false _let_31 true _let_30)) :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_29 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (not (= tptp.skac3 tptp.skac2)) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) _let_28 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) _let_27 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) _let_26 _let_25 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))) (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) _let_24 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not 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((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) _let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) _let_22 (forall ((U $$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))) _let_21 (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))) _let_20 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) _let_19 (tptp.ssList tptp.sk2) (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_18 _let_17 (tptp.ssList tptp.sk5) (tptp.ssList tptp.sk6) _let_16 _let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= (tptp.app B (tptp.cons A tptp.nil)) tptp.sk5)) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= (tptp.app (tptp.cons C tptp.nil) D) tptp.sk3)) (not (tptp.lt A C)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= (tptp.app (tptp.cons A tptp.nil) B) tptp.sk6)) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= (tptp.app D (tptp.cons C tptp.nil)) tptp.sk3)) (not (tptp.lt C A)))) _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_3 (or (tptp.ssItem tptp.sk12) _let_2) (or (tptp.memberP tptp.sk10 tptp.sk12) _let_2) (or (not (tptp.leq tptp.sk7 tptp.sk12)) (not (tptp.leq tptp.sk12 tptp.sk8)) _let_2) (or (= tptp.nil tptp.sk4) (not (= tptp.nil tptp.sk3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 80.21/80.42 )
% 80.21/80.43 % SZS output end Proof for SWC161-1
% 80.21/80.44 % cvc5---1.0.5 exiting
% 80.21/80.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------