TSTP Solution File: SWC052+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC052+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 20:22:53 EDT 2023
% Result : Theorem 25.64s 26.05s
% Output : Proof 25.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC052+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 15:25:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.50 %----Proving TF0_NAR, FOF, or CNF
% 25.64/26.05 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BjtNaEwdGk/cvc5---1.0.5_29635.p...
% 25.64/26.05 ------- get file name : TPTP file name is SWC052+1
% 25.64/26.05 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29635.smt2...
% 25.64/26.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.64/26.05 --- Run --no-e-matching --full-saturate-quant at 5...
% 25.64/26.05 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.64/26.05 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.64/26.05 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.64/26.05 % SZS status Theorem for SWC052+1
% 25.64/26.05 % SZS output start Proof for SWC052+1
% 25.64/26.05 (
% 25.64/26.05 (let ((_let_1 (not (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (or (not (tptp.ssList X)) (not (= V X)) (not (= U W)) (and (not (= tptp.nil W)) (= tptp.nil X)) (and (forall ((Y $$unsorted)) (or (not (tptp.ssList Y)) (not (tptp.neq Y tptp.nil)) (not (tptp.frontsegP X Y)) (not (tptp.frontsegP W Y)))) (tptp.neq X tptp.nil)) (and (or (not (= tptp.nil V)) (= tptp.nil U)) (or (not (tptp.neq V tptp.nil)) (exists ((Z $$unsorted)) (and (tptp.ssList Z) (tptp.neq Z tptp.nil) (tptp.segmentP V Z) (tptp.segmentP U Z)))))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (=> (tptp.segmentP U V) (tptp.segmentP (tptp.app (tptp.app W U) X) V)))))))))))) (let ((_let_3 (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U U))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_5 (tptp.ssList tptp.nil))) (let ((_let_6 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.neq U V) (not (= U V))))))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (tptp.frontsegP U V) (exists ((W $$unsorted)) (and (tptp.ssList W) (= (tptp.app V W) U)))))))))) (let ((_let_8 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_11 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_12 (tptp.segmentP (tptp.app _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_13 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_9))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.frontsegP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.frontsegP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.nil))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_14 _let_23 _let_21 _let_19))) (let ((_let_25 (tptp.neq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.nil))) (let ((_let_26 (and _let_24 _let_25))) (let ((_let_27 (not _let_24))) (let ((_let_28 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_30 (not _let_29))) (let ((_let_31 (and _let_30 _let_28))) (let ((_let_32 (forall ((Z $$unsorted)) (or (not (tptp.ssList Z)) (not (tptp.neq Z tptp.nil)) (not (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Z)) (not (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z)))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_25))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (not _let_28))) (let ((_let_37 (or _let_36 _let_29))) (let ((_let_38 (and _let_37 _let_35))) (let ((_let_39 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_38 _let_31 _let_26))) (let ((_let_44 (forall ((U $$unsorted) (BOUND_VARIABLE_5373 $$unsorted) (BOUND_VARIABLE_5371 $$unsorted)) (let ((_let_1 (tptp.neq BOUND_VARIABLE_5371 tptp.nil))) (let ((_let_2 (= tptp.nil BOUND_VARIABLE_5371))) (let ((_let_3 (= tptp.nil U))) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_5371)) (and (or (not _let_2) _let_3) (or (not _let_1) (not (forall ((Z $$unsorted)) (or (not (tptp.ssList Z)) (not (tptp.neq Z tptp.nil)) (not (tptp.segmentP BOUND_VARIABLE_5371 Z)) (not (tptp.segmentP U Z))))))) (and (not _let_3) _let_2) (and (or (not (tptp.ssList BOUND_VARIABLE_5373)) (not (tptp.neq BOUND_VARIABLE_5373 tptp.nil)) (not (tptp.frontsegP BOUND_VARIABLE_5371 BOUND_VARIABLE_5373)) (not (tptp.frontsegP U BOUND_VARIABLE_5373))) _let_1)))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (not _let_44))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_46) :args (_let_48))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_44))) (REFL :args (_let_45)) :args _let_47)) _let_46 :args (_let_45 true _let_44)))) (let ((_let_50 (tptp.neq tptp.nil tptp.nil))) (let ((_let_51 (REFL :args (_let_36)))) (let ((_let_52 (_let_31))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 2)) _let_49 :args ((not _let_38) true _let_43)))) (let ((_let_54 (CNF_AND_NEG :args (_let_38)))) (let ((_let_55 (REFL :args (_let_35)))) (let ((_let_56 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_25))) :args _let_47)) :args ((or _let_25 _let_35))))) (let ((_let_57 (not _let_50))) (let ((_let_58 (not _let_5))) (let ((_let_59 (or _let_58 _let_58 _let_57))) (let ((_let_60 (forall ((U $$unsorted) (BOUND_VARIABLE_3286 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3286)) (= (tptp.neq U BOUND_VARIABLE_3286) (not (= U BOUND_VARIABLE_3286))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (ASSUME :args (_let_5)))) (let ((_let_63 (and _let_28 _let_57))) (let ((_let_64 (ASSUME :args (_let_57)))) (let ((_let_65 (ASSUME :args (_let_28)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST _let_54 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 0)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_28))) :args _let_47)) :args ((or _let_28 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_65) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_65) (REFL :args (tptp.nil)) :args (APPLY_UF tptp.neq)) (FALSE_INTRO _let_64))) :args (_let_57 _let_28))) :args (_let_28 _let_57))) :args (true _let_63)) (CONG _let_51 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_50))) (REFL :args (_let_34)) :args _let_47)) :args ((or _let_36 _let_34 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_59))) :args ((or _let_58 _let_57 (not _let_59)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.nil tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_60)))) _let_61 :args (_let_59 false _let_60)) :args (_let_57 false _let_5 false _let_59)) _let_56 _let_54 _let_53 (CNF_OR_NEG :args (_let_37 1)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_52) (CONG (REFL :args _let_52) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) _let_51 :args _let_47)) :args ((or _let_36 _let_29 _let_31))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 3)) _let_49 :args ((not _let_31) true _let_43)) :args (_let_36 true _let_50 false _let_25 true _let_35 true _let_38 false _let_37 false _let_29 true _let_31)) :args (_let_37 true _let_28)) :args ((not _let_35) true _let_38 false _let_37)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_26)) :args ((or _let_34 _let_26 _let_27))) (MACRO_RESOLUTION_TRUST _let_56 _let_66 :args (_let_25 true _let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_43 4)) _let_49 :args ((not _let_26) true _let_43)) :args (_let_27 false _let_25 true _let_26)))) (let ((_let_68 (REFL :args (_let_24)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_47)) :args ((or _let_13 _let_24))) _let_67 :args (_let_13 true _let_24)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_9 (not _let_15)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_9 false _let_13 false _let_15)))) (let ((_let_71 (not _let_10))) (let ((_let_72 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 W))))))) (let ((_let_76 (not _let_74))) (let ((_let_77 (not _let_75))) (let ((_let_78 (= _let_18 _let_77))) (let ((_let_79 (or _let_42 _let_14 _let_78))) (let ((_let_80 (forall ((U $$unsorted) (BOUND_VARIABLE_2237 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_2237)) (= (tptp.frontsegP U BOUND_VARIABLE_2237) (not (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= U (tptp.app BOUND_VARIABLE_2237 W))))))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 ((tptp.frontsegP U BOUND_VARIABLE_2237)))) (let ((_let_84 (REFL :args (_let_43)))) (let ((_let_85 (_let_77))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_75))) (REFL :args (_let_76)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_78)) :args ((or _let_19 _let_77 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 3)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_47)) :args ((or _let_18 _let_24))) _let_67 :args (_let_18 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_42 _let_14 _let_78 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_47)) :args ((or _let_41 _let_43))) _let_49 :args (_let_41 true _let_43)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_78 false _let_41 false _let_13 false _let_79)) :args (_let_77 false _let_18 false _let_78)) :args (_let_76 true _let_75)))) (let ((_let_87 (REFL :args (_let_74)))) (let ((_let_88 (not _let_11))) (let ((_let_89 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_14 _let_23 _let_90 _let_88))) (let ((_let_92 (_let_32))) (let ((_let_93 (tptp.segmentP (tptp.app _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_94 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_95 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.segmentP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_14 _let_14 _let_98 _let_58 _let_96 _let_93))) (let ((_let_100 (forall ((U $$unsorted) (BOUND_VARIABLE_4460 $$unsorted) (BOUND_VARIABLE_4458 $$unsorted) (BOUND_VARIABLE_4456 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4456)) (not (tptp.segmentP U BOUND_VARIABLE_4456)) (not (tptp.ssList BOUND_VARIABLE_4460)) (not (tptp.ssList BOUND_VARIABLE_4458)) (tptp.segmentP (tptp.app (tptp.app BOUND_VARIABLE_4460 U) BOUND_VARIABLE_4458) BOUND_VARIABLE_4456))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (not _let_94))) (let ((_let_104 (or _let_96 _let_103))) (let ((_let_105 (forall ((W $$unsorted)) (or (not (tptp.ssList W)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 W))))))) (let ((_let_106 (not _let_104))) (let ((_let_107 (not _let_105))) (let ((_let_108 (= _let_20 _let_107))) (let ((_let_109 (or _let_40 _let_14 _let_108))) (let ((_let_110 (_let_107))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_105))) (REFL :args (_let_106)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_21 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_47)) :args ((or _let_20 _let_24))) _let_67 :args (_let_20 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_40 _let_14 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_47)) :args ((or _let_39 _let_43))) _let_49 :args (_let_39 true _let_43)) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_83)) :args _let_82)) _let_81 :args (_let_109 false _let_80)) :args (_let_108 false _let_39 false _let_13 false _let_109)) :args (_let_107 false _let_20 false _let_108)) :args (_let_106 true _let_105)))) (let ((_let_112 (REFL :args (_let_104)))) (let ((_let_113 (or _let_14 _let_97))) (let ((_let_114 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_14 _let_97 (not _let_113)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= 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(forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.segmentP U V) (tptp.segmentP V W)) (tptp.segmentP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.segmentP U V) (tptp.segmentP V U)) (= U V)))))) _let_3 _let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.segmentP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (tptp.cyclefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.totalorderP (tptp.cons U tptp.nil)))) (tptp.totalorderP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.strictorderP (tptp.cons U tptp.nil)))) (tptp.strictorderP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (tptp.totalorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.totalorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.totalorderedP V) (tptp.leq U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (tptp.strictorderedP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.strictorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.strictorderedP V) (tptp.lt U (tptp.hd V)))))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (tptp.duplicatefreeP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (tptp.equalelemsP tptp.nil) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssItem V) (= (tptp.hd U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (exists ((V $$unsorted)) (and (tptp.ssList V) (= (tptp.tl U) V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (not (= tptp.nil V)) (not (= tptp.nil U)) (= (tptp.hd V) (tptp.hd U)) (= (tptp.tl V) (tptp.tl U))) (= V U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app W V) (tptp.app U V)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (= (tptp.app V W) (tptp.app V U)) (= W U)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (= (= tptp.nil (tptp.app U V)) (and (= tptp.nil V) (= tptp.nil U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.hd (tptp.app U V)) (tptp.hd U))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (not (= tptp.nil U)) (= (tptp.tl (tptp.app U V)) (tptp.app (tptp.tl U) V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (and (tptp.geq U V) (tptp.geq V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.geq U V) (tptp.geq V W)) (tptp.geq U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.geq U U))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (not (tptp.lt U U)))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.leq U V) (tptp.lt V W)) (tptp.lt U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.leq U V) (or (= U V) (tptp.lt U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.lt U V) (and (not (= U V)) (tptp.leq U V))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (=> (tptp.gt U V) (not (tptp.gt V U))))))) (forall ((U $$unsorted)) (=> (tptp.ssItem U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (=> (and (tptp.gt U V) (tptp.gt V W)) (tptp.gt U W)))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.64/26.05 )
% 25.64/26.05 % SZS output end Proof for SWC052+1
% 25.64/26.05 % cvc5---1.0.5 exiting
% 25.64/26.06 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------