TSTP Solution File: SWC413-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:25:26 EDT 2023
% Result : Unsatisfiable 1.11s 1.35s
% Output : Proof 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 18:20:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JuoVwSNBOc/cvc5---1.0.5_16394.p...
% 0.21/0.54 ------- get file name : TPTP file name is SWC413-1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16394.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.11/1.35 % SZS status Unsatisfiable for SWC413-1
% 1.11/1.35 % SZS output start Proof for SWC413-1
% 1.11/1.36 (
% 1.11/1.36 (let ((_let_1 (tptp.app (tptp.app (tptp.cons tptp.sk11 tptp.nil) (tptp.cons tptp.sk12 tptp.nil)) tptp.sk13))) (let ((_let_2 (= _let_1 tptp.sk2))) (let ((_let_3 (tptp.cons tptp.sk8 tptp.nil))) (let ((_let_4 (tptp.cons tptp.sk9 tptp.nil))) (let ((_let_5 (tptp.app (tptp.app _let_4 _let_3) tptp.sk10))) (let ((_let_6 (= _let_5 tptp.sk3))) (let ((_let_7 (or _let_6 _let_2))) (let ((_let_8 (tptp.app (tptp.app _let_3 _let_4) tptp.sk10))) (let ((_let_9 (= _let_8 tptp.sk4))) (let ((_let_10 (or _let_9 _let_2))) (let ((_let_11 (tptp.ssList tptp.sk10))) (let ((_let_12 (or _let_11 _let_2))) (let ((_let_13 (tptp.ssList tptp.sk13))) (let ((_let_14 (or _let_6 _let_13))) (let ((_let_15 (or _let_9 _let_13))) (let ((_let_16 (or _let_11 _let_13))) (let ((_let_17 (tptp.ssItem tptp.sk9))) (let ((_let_18 (or _let_17 _let_2))) (let ((_let_19 (or _let_17 _let_13))) (let ((_let_20 (tptp.ssItem tptp.sk12))) (let ((_let_21 (or _let_6 _let_20))) (let ((_let_22 (or _let_9 _let_20))) (let ((_let_23 (or _let_11 _let_20))) (let ((_let_24 (or _let_17 _let_20))) (let ((_let_25 (tptp.ssItem tptp.sk8))) (let ((_let_26 (or _let_25 _let_2))) (let ((_let_27 (or _let_25 _let_13))) (let ((_let_28 (or _let_25 _let_20))) (let ((_let_29 (tptp.ssItem tptp.sk11))) (let ((_let_30 (or _let_6 _let_29))) (let ((_let_31 (or _let_9 _let_29))) (let ((_let_32 (or _let_11 _let_29))) (let ((_let_33 (or _let_17 _let_29))) (let ((_let_34 (or _let_25 _let_29))) (let ((_let_35 (= (tptp.app (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk7) tptp.sk2))) (let ((_let_36 (tptp.ssList tptp.sk7))) (let ((_let_37 (tptp.ssItem tptp.sk6))) (let ((_let_38 (tptp.ssItem tptp.sk5))) (let ((_let_39 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (= (tptp.app (tptp.app (tptp.cons tptp.sk9 tptp.nil) (tptp.cons tptp.sk8 tptp.nil)) tptp.sk10) tptp.sk3) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (= (tptp.app (tptp.app (tptp.cons tptp.sk8 tptp.nil) (tptp.cons tptp.sk9 tptp.nil)) tptp.sk10) tptp.sk4) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssList tptp.sk10) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))))) (let ((_let_42 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssItem tptp.sk9) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssItem tptp.sk8) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app _let_1 _let_2) C) tptp.sk2)) (not (= (tptp.app (tptp.app _let_2 _let_1) C) tptp.sk1)) (= (tptp.app (tptp.app (tptp.cons tptp.sk11 tptp.nil) (tptp.cons tptp.sk12 tptp.nil)) tptp.sk13) tptp.sk2))))))) (let ((_let_45 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app _let_1 _let_2) C) tptp.sk2)) (not (= (tptp.app (tptp.app _let_2 _let_1) C) tptp.sk1)) (tptp.ssList tptp.sk13))))))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app _let_1 _let_2) C) tptp.sk2)) (not (= (tptp.app (tptp.app _let_2 _let_1) C) tptp.sk1)) (tptp.ssItem tptp.sk12))))))) (let ((_let_47 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app _let_1 _let_2) C) tptp.sk2)) (not (= (tptp.app (tptp.app _let_2 _let_1) C) tptp.sk1)) (tptp.ssItem tptp.sk11))))))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app _let_1 _let_2) C) tptp.sk2)) (not (= (tptp.app (tptp.app _let_2 _let_1) C) tptp.sk1)) (not (tptp.ssItem D)) (not (tptp.ssItem E)) (not (tptp.ssList F)) (not (= (tptp.app (tptp.app (tptp.cons D tptp.nil) (tptp.cons E tptp.nil)) F) tptp.sk4)))))))) (let ((_let_49 (= tptp.sk1 tptp.sk3))) (let ((_let_50 (= tptp.sk2 tptp.sk4))) (let ((_let_51 (= tptp.sk1 _let_5))) (let ((_let_52 (not _let_51))) (let ((_let_53 (= tptp.sk2 _let_8))) (let ((_let_54 (not _let_53))) (let ((_let_55 (not _let_11))) (let ((_let_56 (not _let_17))) (let ((_let_57 (not _let_25))) (let ((_let_58 (or _let_57 _let_56 _let_55 _let_54 _let_52))) (let ((_let_59 (not _let_20))) (let ((_let_60 (= tptp.sk4 _let_8))) (let ((_let_61 (= tptp.sk3 _let_5))) (let ((_let_62 (ASSUME :args (_let_50)))) (let ((_let_63 (and _let_50 _let_60))) (let ((_let_64 (ASSUME :args (_let_60)))) (let ((_let_65 (SYMM _let_62))) (let ((_let_66 (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_62) (SCOPE (TRANS (SYMM _let_65) (SYMM (SYMM _let_64))) :args (_let_60 _let_50))) :args (_let_50 _let_60))) :args (true _let_63)))) (let ((_let_67 (ASSUME :args (_let_49)))) (let ((_let_68 (and _let_49 _let_61))) (let ((_let_69 (ASSUME :args (_let_61)))) (let ((_let_70 (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_67) (SCOPE (TRANS (SYMM (SYMM _let_67)) (SYMM (SYMM _let_69))) :args (_let_61 _let_49))) :args (_let_49 _let_61))) :args (true _let_68)))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk2 (tptp.app (tptp.app _let_1 _let_2) C))) (not (= tptp.sk1 (tptp.app (tptp.app _let_2 _let_1) C))))))))) (let ((_let_72 (forall ((D $$unsorted) (E $$unsorted) (F $$unsorted)) (or (not (tptp.ssItem D)) (not (tptp.ssItem E)) (not (tptp.ssList F)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons D tptp.nil) (tptp.cons E tptp.nil)) F))))))) (let ((_let_73 (= tptp.sk4 _let_1))) (let ((_let_74 (not _let_73))) (let ((_let_75 (not _let_13))) (let ((_let_76 (not _let_29))) (let ((_let_77 (or _let_76 _let_59 _let_75 _let_74))) (let ((_let_78 (= tptp.sk2 _let_1))) (let ((_let_79 (_let_72))) (let ((_let_80 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_79) :args (tptp.sk11 tptp.sk12 tptp.sk13 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app (tptp.cons D tptp.nil) (tptp.cons E tptp.nil)) F)))) :args _let_79)))) (let ((_let_81 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_59 _let_75 _let_74 (not _let_77)))))) (let ((_let_82 (and _let_50 _let_78))) (let ((_let_83 (ASSUME :args (_let_78)))) (let ((_let_84 (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_83 _let_62) (SCOPE (TRANS _let_65 (SYMM (SYMM _let_83))) :args (_let_78 _let_50))) :args (_let_50 _let_78))) :args (true _let_82)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST _let_84 _let_62 _let_81 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_80 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_71 (= A A) (= B B) (= C C)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_71 (= A A) (= B B) (= C C)))) (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_76 _let_59) false _let_50 true _let_73 false _let_78 false _let_13 false _let_77 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk2 (tptp.app (tptp.app _let_1 _let_2) C))) (not (= tptp.sk1 (tptp.app (tptp.app _let_2 _let_1) C))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk2 (tptp.app (tptp.app _let_1 _let_2) C))) (not (= tptp.sk1 (tptp.app (tptp.app _let_2 _let_1) C))))))) false _let_72)))) (let ((_let_86 (_let_71))) (let ((_let_87 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (tptp.sk8 tptp.sk9 tptp.sk10 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C)))) :args _let_86)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 (MACRO_RESOLUTION_TRUST _let_85 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_71 (= A A) (= B B) (= C C)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_71 (= A A) (= B B) (= C C)))) :args (_let_71 false _let_20 false _let_29 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk2 (tptp.app (tptp.app _let_1 _let_2) C))) (not (= tptp.sk1 (tptp.app (tptp.app _let_2 _let_1) C))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cons A tptp.nil))) (let ((_let_2 (tptp.cons B tptp.nil))) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk2 (tptp.app (tptp.app _let_1 _let_2) C))) (not (= tptp.sk1 (tptp.app (tptp.app _let_2 _let_1) C))))))))) :args (_let_58 false _let_71)))) (let ((_let_89 (not _let_58))) (let ((_let_90 (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_56 _let_55 _let_54 _let_52 _let_89))))) (let ((_let_91 (MACRO_RESOLUTION_TRUST _let_90 _let_70 _let_67 _let_66 _let_62 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_61))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_60))) (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_89) false _let_51 false _let_49 false _let_53 false _let_50 false _let_61 false _let_60 false _let_11 false _let_17 false _let_25)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_90 _let_88 _let_70 _let_67 _let_66 _let_62 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_13 _let_61))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_13 _let_60))) (REORDERING (ASSUME :args (_let_16)) :args ((or _let_13 _let_11))) (REORDERING (ASSUME :args (_let_19)) :args ((or _let_13 _let_17))) _let_81 (MACRO_RESOLUTION_TRUST _let_84 _let_62 (MACRO_RESOLUTION_TRUST _let_91 _let_88 :args (_let_78 false _let_58)) :args (_let_73 false _let_50 false _let_78)) _let_80 (MACRO_RESOLUTION_TRUST _let_90 _let_70 _let_67 _let_66 _let_62 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_72 (= D A) (= E B) (= F C)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_72 (= D A) (= E B) (= F C)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_72 (= D A) (= E B) (= F C)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_72 (= D A) (= E B) (= F C)))) :args ((or _let_72 _let_57 _let_89) false _let_51 false _let_49 false _let_53 false _let_50 false _let_61 false _let_60 false _let_11 false _let_17 true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C))))))) _let_88 (MACRO_RESOLUTION_TRUST _let_80 _let_81 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_72 (= D A) (= E B) (= F C)))) (REORDERING (ASSUME :args (_let_27)) :args ((or _let_13 _let_25))) (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) _let_84 _let_62 _let_91 _let_87 _let_85 :args ((or _let_25 _let_76 _let_59) true _let_77 false _let_72 false _let_13 false (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= tptp.sk4 (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C))))) false _let_73 false _let_50 false _let_78 false _let_58 false _let_71)) :args ((or _let_76 _let_59) false _let_58 false _let_51 false _let_49 false _let_53 false _let_50 false _let_61 false _let_60 false _let_11 false _let_17 true _let_13 false _let_73 false _let_77 false _let_72 false _let_58 false _let_25)) (MACRO_RESOLUTION_TRUST _let_90 _let_88 _let_70 _let_67 _let_66 _let_62 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_29 _let_61))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_29 _let_60))) (REORDERING (ASSUME :args (_let_32)) :args ((or _let_29 _let_11))) (REORDERING (ASSUME :args (_let_33)) :args ((or _let_29 _let_17))) (REORDERING (ASSUME :args (_let_34)) :args ((or _let_29 _let_25))) :args (_let_29 false _let_58 false _let_51 false _let_49 false _let_53 false _let_50 false _let_61 false _let_60 false _let_11 false _let_17 false _let_25)) :args (_let_59 false _let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_90 (MACRO_RESOLUTION_TRUST _let_70 _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_20 _let_61))) _let_92 :args (_let_61 true _let_20)) :args (_let_51 false _let_49 false _let_61)) (MACRO_RESOLUTION_TRUST _let_66 _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_20 _let_60))) _let_92 :args (_let_60 true _let_20)) :args (_let_53 false _let_50 false _let_60)) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_28)) :args ((or _let_20 _let_25))) _let_92 :args (_let_25 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_23)) :args ((or _let_20 _let_11))) _let_92 :args (_let_11 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_24)) :args ((or _let_20 _let_17))) _let_92 :args (_let_17 true _let_20)) :args (false false _let_51 false _let_53 false _let_58 false _let_25 false _let_11 false _let_17)) :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) (tptp.ssList tptp.nil) (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (not (= tptp.skac3 tptp.skac2)) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$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.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))) (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (tptp.ssList tptp.sk1) (tptp.ssList tptp.sk2) (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssItem tptp.sk5) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssItem tptp.sk6) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.ssList tptp.sk7) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (= (tptp.app (tptp.app (tptp.cons tptp.sk5 tptp.nil) (tptp.cons tptp.sk6 tptp.nil)) tptp.sk7) tptp.sk2) (not (tptp.ssItem A)) (not (tptp.ssItem B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app (tptp.cons A tptp.nil) (tptp.cons B tptp.nil)) C) tptp.sk4)))) _let_43 _let_42 _let_41 _let_40 _let_39 (or _let_38 _let_29) (or _let_37 _let_29) (or _let_36 _let_29) (or _let_35 _let_29) (or _let_38 _let_20) (or _let_38 _let_13) (or _let_38 _let_2) (or _let_37 _let_20) (or _let_36 _let_20) (or _let_35 _let_20) (or _let_37 _let_13) (or _let_37 _let_2) (or _let_36 _let_13) (or _let_35 _let_13) (or _let_36 _let_2) (or _let_35 _let_2) _let_34 _let_33 _let_32 _let_31 _let_30 _let_28 _let_27 _let_26 _let_24 _let_23 _let_22 _let_21 _let_19 _let_18 _let_16 _let_15 _let_14 _let_12 _let_10 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.11/1.36 )
% 1.18/1.37 % SZS output end Proof for SWC413-1
% 1.18/1.37 % cvc5---1.0.5 exiting
% 1.18/1.37 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------