TSTP Solution File: SWC192+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC192+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 20:23:55 EDT 2023
% Result : Theorem 33.89s 34.12s
% Output : Proof 33.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC192+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 15:34:43 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 33.89/34.12 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NmDSD9yvUA/cvc5---1.0.5_15528.p...
% 33.89/34.12 ------- get file name : TPTP file name is SWC192+1
% 33.89/34.12 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15528.smt2...
% 33.89/34.12 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 33.89/34.12 --- Run --no-e-matching --full-saturate-quant at 5...
% 33.89/34.12 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 33.89/34.12 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 33.89/34.12 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 33.89/34.12 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.89/34.12 % SZS status Theorem for SWC192+1
% 33.89/34.12 % SZS output start Proof for SWC192+1
% 33.89/34.12 (
% 33.89/34.12 (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)) (=> (tptp.ssList X) (or (not (= V X)) (not (= U W)) (forall ((Y $$unsorted)) (=> (tptp.ssItem Y) (forall ((Z $$unsorted)) (=> (tptp.ssItem Z) (forall ((X1 $$unsorted)) (=> (tptp.ssList X1) (forall ((X2 $$unsorted)) (=> (tptp.ssList X2) (or (not (= (tptp.app (tptp.app (tptp.app X1 (tptp.cons Y tptp.nil)) (tptp.cons Z tptp.nil)) X2) U)) (= Y Z)))))))))) (and (forall ((X3 $$unsorted)) (=> (tptp.ssItem X3) (or (not (= (tptp.cons X3 tptp.nil) W)) (not (tptp.memberP X X3))))) (or (not (= tptp.nil X)) (not (= tptp.nil W)))))))))))))))) (let ((_let_2 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app U tptp.nil) U))))) (let ((_let_3 (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))))))))) (let ((_let_4 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (= (tptp.app (tptp.app U V) W) (tptp.app U (tptp.app V W))))))))))) (let ((_let_5 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.cons V U) (tptp.app (tptp.cons V tptp.nil) U)))))))) (let ((_let_6 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.equalelemsP (tptp.cons U tptp.nil)))))) (let ((_let_7 (forall ((U $$unsorted)) (=> (tptp.ssItem U) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))))) (let ((_let_8 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.app tptp.nil U) U))))) (let ((_let_9 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (= (tptp.cons W (tptp.app V U)) (tptp.app (tptp.cons W V) U)))))))))) (let ((_let_10 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (tptp.ssList (tptp.app U V)))))))) (let ((_let_11 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (= (tptp.hd (tptp.cons V U)) V))))))) (let ((_let_12 (forall ((U $$unsorted)) (=> (tptp.ssList U) (=> (not (= tptp.nil U)) (tptp.ssItem (tptp.hd U))))))) (let ((_let_13 (forall ((U $$unsorted)) (=> (tptp.ssList U) (or (= tptp.nil U) (exists ((V $$unsorted)) (and (tptp.ssList V) (exists ((W $$unsorted)) (and (tptp.ssItem W) (= (tptp.cons W V) U)))))))))) (let ((_let_14 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (not (= (tptp.cons V U) U)))))))) (let ((_let_15 (tptp.ssList tptp.nil))) (let ((_let_16 (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (tptp.ssList (tptp.cons V U)))))))) (let ((_let_17 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.equalelemsP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (=> (= (tptp.app X (tptp.cons V (tptp.cons W Y))) U) (= V W))))))))))))))) (let ((_let_18 (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.duplicatefreeP U) (forall ((V $$unsorted)) (=> (tptp.ssItem V) (forall ((W $$unsorted)) (=> (tptp.ssItem W) (forall ((X $$unsorted)) (=> (tptp.ssList X) (forall ((Y $$unsorted)) (=> (tptp.ssList Y) (forall ((Z $$unsorted)) (=> (tptp.ssList Z) (=> (= (tptp.app (tptp.app X (tptp.cons V Y)) (tptp.cons W Z)) U) (not (= V W)))))))))))))))))) (let ((_let_19 (tptp.app tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19))) (let ((_let_21 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.nil))) (let ((_let_22 (tptp.app _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.nil))) (let ((_let_24 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_23))) (let ((_let_25 (tptp.app _let_24 _let_21))) (let ((_let_26 (tptp.app _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (= _let_26 (tptp.app _let_24 _let_22)))) (let ((_let_28 (= _let_22 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_19)))) (let ((_let_29 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_29))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 (tptp.hd _let_29)))) (let ((_let_32 (tptp.hd SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_33 (= _let_26 (tptp.app _let_24 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.cons _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)))))) (let ((_let_34 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_20))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (= tptp.nil _let_26))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or (not (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_40))) (let ((_let_42 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.nil))) (let ((_let_43 (= _let_26 _let_42))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 (not (tptp.memberP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_48 (and _let_47 _let_41))) (let ((_let_49 (not (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_50 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (not _let_50))) (let ((_let_52 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_53 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.ssList _let_26))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_54 _let_52 _let_51 _let_35 _let_49 _let_48))) (let ((_let_60 (forall ((BOUND_VARIABLE_5497 $$unsorted) (BOUND_VARIABLE_5495 $$unsorted) (BOUND_VARIABLE_5476 $$unsorted) (BOUND_VARIABLE_5474 $$unsorted) (BOUND_VARIABLE_5472 $$unsorted) (BOUND_VARIABLE_5470 $$unsorted)) (let ((_let_1 (tptp.app (tptp.app (tptp.app BOUND_VARIABLE_5472 (tptp.cons BOUND_VARIABLE_5470 tptp.nil)) (tptp.cons BOUND_VARIABLE_5476 tptp.nil)) BOUND_VARIABLE_5474))) (or (not (tptp.ssList _let_1)) (not (tptp.ssItem BOUND_VARIABLE_5470)) (not (tptp.ssItem BOUND_VARIABLE_5476)) (= BOUND_VARIABLE_5470 BOUND_VARIABLE_5476) (not (tptp.ssList BOUND_VARIABLE_5472)) (not (tptp.ssList BOUND_VARIABLE_5474)) (not (tptp.ssList BOUND_VARIABLE_5495)) (and (or (not (tptp.ssItem BOUND_VARIABLE_5497)) (not (= _let_1 (tptp.cons BOUND_VARIABLE_5497 tptp.nil))) (not (tptp.memberP BOUND_VARIABLE_5495 BOUND_VARIABLE_5497))) (or (not (= tptp.nil BOUND_VARIABLE_5495)) (not (= tptp.nil _let_1))))))))) (let ((_let_61 (not _let_59))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (or))) (let ((_let_64 (not _let_60))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_62) :args (_let_64)) (REWRITE :args ((=> _let_64 (not (or _let_58 _let_56 _let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) _let_51 _let_35 _let_49 _let_48))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_60))) (REFL :args (_let_61)) :args _let_63)) _let_62 :args (_let_61 true _let_60)))) (let ((_let_66 (REFL :args (_let_59)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 5)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_63)) :args ((or _let_34 _let_59))) _let_65 :args (_let_34 true _let_59)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_20 (not _let_36)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_20 false _let_34 false _let_36)))) (let ((_let_69 (tptp.ssList _let_21))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.ssList _let_24))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_35 _let_27))) (let ((_let_74 (forall ((U $$unsorted) (BOUND_VARIABLE_4853 $$unsorted) (BOUND_VARIABLE_4851 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_4851)) (not (tptp.ssList BOUND_VARIABLE_4853)) (= (tptp.app (tptp.app U BOUND_VARIABLE_4851) BOUND_VARIABLE_4853) (tptp.app U (tptp.app BOUND_VARIABLE_4851 BOUND_VARIABLE_4853))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 ((tptp.app (tptp.app U BOUND_VARIABLE_4851) BOUND_VARIABLE_4853)))) (let ((_let_78 (tptp.ssList _let_23))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_51 _let_79 _let_71))) (let ((_let_81 (forall ((U $$unsorted) (BOUND_VARIABLE_3579 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3579)) (tptp.ssList (tptp.app U BOUND_VARIABLE_3579)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (not _let_15))) (let ((_let_85 (or _let_84 _let_56 _let_78))) (let ((_let_86 (forall ((U $$unsorted) (BOUND_VARIABLE_3321 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssItem BOUND_VARIABLE_3321)) (tptp.ssList (tptp.cons BOUND_VARIABLE_3321 U)))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 1)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_63)) :args ((or _let_55 _let_59))) _let_65 :args (_let_55 true _let_59)))) (let ((_let_90 (ASSUME :args (_let_15)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_84 _let_56 _let_78 (not _let_85)))) _let_90 _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_78 false _let_15 false _let_55 false _let_85)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 4)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_63)) :args ((or _let_50 _let_59))) _let_65 :args (_let_50 true _let_59)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_51 _let_79 _let_71 (not _let_80)))) _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) :args (_let_71 false _let_50 false _let_78 false _let_80)))) (let ((_let_94 (or _let_84 _let_54 _let_69))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_59 2)) (CONG _let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_63)) :args ((or _let_53 _let_59))) _let_65 :args (_let_53 true _let_59)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_84 _let_54 _let_69 (not _let_94)))) _let_90 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_87 :args (_let_94 false _let_86)) :args (_let_69 false _let_15 false _let_53 false _let_94)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_35 _let_70 _let_72 _let_27 (not _let_73)))) _let_67 _let_96 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_21 QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_27 false _let_34 false _let_69 false _let_71 false _let_73)))) (let ((_let_98 (or _let_35 _let_84 _let_54 _let_28))) (let ((_let_99 (forall ((U $$unsorted) (BOUND_VARIABLE_3621 $$unsorted) (BOUND_VARIABLE_3619 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList BOUND_VARIABLE_3619)) (not (tptp.ssItem BOUND_VARIABLE_3621)) (= (tptp.cons BOUND_VARIABLE_3621 (tptp.app BOUND_VARIABLE_3619 U)) (tptp.app (tptp.cons BOUND_VARIABLE_3621 BOUND_VARIABLE_3619) U)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_84 _let_54 _let_35 _let_28 (not _let_98)))) _let_90 _let_95 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.nil QUANTIFIERS_INST_CBQI_PROP)) :args (_let_99)))) _let_100 :args (_let_98 false _let_99)) :args (_let_28 false _let_15 false _let_53 false _let_34 false _let_98)))) (let ((_let_102 (not _let_30))) (let ((_let_103 (tptp.ssItem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.ssList SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104 _let_102))) (let ((_let_108 (forall ((V $$unsorted) (BOUND_VARIABLE_3468 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssItem BOUND_VARIABLE_3468)) (not (= (tptp.cons BOUND_VARIABLE_3468 V) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_109 (not _let_107))) (let ((_let_110 (not _let_108))) (let ((_let_111 (= tptp.nil SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_112 (or _let_35 _let_111 _let_110))) (let ((_let_113 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= tptp.nil U) (not (forall ((V $$unsorted) (BOUND_VARIABLE_3468 $$unsorted)) (or (not (tptp.ssList V)) (not (tptp.ssItem BOUND_VARIABLE_3468)) (not (= U (tptp.cons BOUND_VARIABLE_3468 V)))))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (tptp.cons SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_21))) (let ((_let_116 (= _let_26 (tptp.app SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_115)))) (let ((_let_117 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(tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.frontsegP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (and (tptp.rearsegP U V) (tptp.rearsegP V W)) (tptp.rearsegP U W)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.rearsegP U V) (tptp.rearsegP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$unsorted)) (=> (tptp.ssList V) (forall ((W $$unsorted)) (=> (tptp.ssList W) (=> (tptp.rearsegP U V) (tptp.rearsegP (tptp.app W U) V)))))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (= (tptp.rearsegP tptp.nil U) (= tptp.nil U)))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (forall ((V $$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 $$unsorted)) (=> (tptp.ssList V) (=> (and (tptp.segmentP U V) (tptp.segmentP V U)) (= U V)))))) (forall ((U $$unsorted)) (=> (tptp.ssList U) (tptp.segmentP U U))) (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)))))))))) (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 $$unsorted)) (let ((_let_1 (= tptp.nil V))) (=> (tptp.ssList V) (= (tptp.strictorderedP (tptp.cons U V)) (or _let_1 (and (not _let_1) (tptp.strictorderedP V) (tptp.lt U (tptp.hd V)))))))))) _let_7 (tptp.duplicatefreeP tptp.nil) _let_6 (tptp.equalelemsP tptp.nil) (forall ((U $$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)))))))) _let_5 _let_4 _let_3 _let_2 (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 33.89/34.13 )
% 33.89/34.13 % SZS output end Proof for SWC192+1
% 33.89/34.13 % cvc5---1.0.5 exiting
% 33.89/34.13 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------