TSTP Solution File: COL090-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL090-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 : Wed Aug 30 18:23:23 EDT 2023

% Result   : Unsatisfiable 34.50s 34.70s
% Output   : Proof 34.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL090-2 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Aug 27 04:14:57 EDT 2023
% 0.21/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hef13A5mgr/cvc5---1.0.5_32418.p...
% 0.21/0.52  ------- get file name : TPTP file name is COL090-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32418.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.39/10.57  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.41/15.61  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.47/20.65  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.38/25.68  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.53/30.72  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 34.50/34.70  % SZS status Unsatisfiable for COL090-2
% 34.50/34.70  % SZS output start Proof for COL090-2
% 34.50/34.70  (
% 34.50/34.70  (let ((_let_1 (tptp.comb_app tptp.combS tptp.combK))) (let ((_let_2 (tptp.member (tptp.pair (tptp.comb_app _let_1 tptp.combK) tptp.r) tptp.contract))) (let ((_let_3 (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combS R) tptp.contract))))) (let ((_let_4 (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combK R) tptp.contract))))) (let ((_let_5 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member (tptp.pair Q (tptp.ap_contractE_sk3q P Q R)) tptp.contract))))) (let ((_let_6 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member (tptp.pair P (tptp.ap_contractE_sk2q P Q R)) tptp.contract))))) (let ((_let_7 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= P (tptp.comb_app (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p P Q R)) (tptp.ap_contractE_sk1q P Q R))))))) (let ((_let_8 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (= P (tptp.comb_app tptp.combK R)))))) (let ((_let_9 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.contract)) (tptp.ap_contractE_c1 P Q R) (tptp.ap_contractE_c2 P Q R) (tptp.ap_contractE_c3 P Q R) (tptp.ap_contractE_c4 P Q R))))) (let ((_let_10 (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= P1 P2))))) (let ((_let_11 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combS (tptp.comb_app P Q)))))) (let ((_let_12 (not (= tptp.combK tptp.combS)))) (let ((_let_13 (tptp.ap_contractE_sk2q _let_1 tptp.combK tptp.r))) (let ((_let_14 (= tptp.combS (tptp.comb_app tptp.combK _let_13)))) (let ((_let_15 (_let_11))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (tptp.ap_contractE_c1 tptp.combS tptp.combK _let_13))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_14))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 ((not (= (tptp.ap_contractE_c1 P Q R) false))))) (let ((_let_23 (tptp.ap_contractE_c4 tptp.combS tptp.combK _let_13))) (let ((_let_24 (tptp.ap_contractE_c3 tptp.combS tptp.combK _let_13))) (let ((_let_25 (tptp.ap_contractE_c2 tptp.combS tptp.combK _let_13))) (let ((_let_26 (tptp.member (tptp.pair _let_1 _let_13) tptp.contract))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_17 _let_25 _let_24 _let_23))) (let ((_let_29 (_let_9))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 ((not (= (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.contract) false))))) (let ((_let_32 (tptp.ap_contractE_sk3q tptp.combS tptp.combK _let_13))) (let ((_let_33 (tptp.member (tptp.pair tptp.combK _let_32) tptp.contract))) (let ((_let_34 (not _let_23))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_5))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.ap_contractE_c4 P Q R) false))))) (let ((_let_39 (_let_4))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (tptp.ap_contractE_sk2q tptp.combS tptp.combK _let_13))) (let ((_let_42 (tptp.member (tptp.pair tptp.combS _let_41) tptp.contract))) (let ((_let_43 (not _let_24))) (let ((_let_44 (or _let_43 _let_42))) (let ((_let_45 (_let_6))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.ap_contractE_c3 P Q R) false))))) (let ((_let_48 (_let_3))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.ap_contractE_sk1q tptp.combS tptp.combK _let_13))) (let ((_let_51 (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p tptp.combS tptp.combK _let_13)))) (let ((_let_52 (= tptp.combS (tptp.comb_app _let_51 _let_50)))) (let ((_let_53 (not _let_25))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((not (= (tptp.ap_contractE_c2 P Q R) false))))) (let ((_let_58 (tptp.ap_contractE_c3 _let_1 tptp.combK tptp.r))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_26))) (let ((_let_61 (tptp.ap_contractE_c4 _let_1 tptp.combK tptp.r))) (let ((_let_62 (tptp.ap_contractE_c2 _let_1 tptp.combK tptp.r))) (let ((_let_63 (tptp.ap_contractE_c1 _let_1 tptp.combK tptp.r))) (let ((_let_64 (not _let_2))) (let ((_let_65 (or _let_64 _let_63 _let_62 _let_58 _let_61))) (let ((_let_66 (tptp.ap_contractE_sk3q _let_1 tptp.combK tptp.r))) (let ((_let_67 (tptp.member (tptp.pair tptp.combK _let_66) tptp.contract))) (let ((_let_68 (not _let_61))) (let ((_let_69 (or _let_68 _let_67))) (let ((_let_70 (tptp.ap_contractE_sk1q _let_1 tptp.combK tptp.r))) (let ((_let_71 (tptp.ap_contractE_sk1p _let_1 tptp.combK tptp.r))) (let ((_let_72 (tptp.comb_app tptp.combS _let_71))) (let ((_let_73 (= _let_1 (tptp.comb_app _let_72 _let_70)))) (let ((_let_74 (not _let_62))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (= tptp.combS _let_72))) (let ((_let_77 (not _let_73))) (let ((_let_78 (or _let_77 _let_76))) (let ((_let_79 (_let_10))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (= _let_1 (tptp.comb_app tptp.combK tptp.r)))) (let ((_let_82 (not _let_63))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (= tptp.combS tptp.combK))) (let ((_let_85 (not _let_81))) (let ((_let_86 (or _let_85 _let_84))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.combK _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_14 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_17 _let_25 _let_24 _let_23 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_26 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_63 _let_62 _let_58 _let_61 (not _let_65)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_84 _let_85 (not _let_86)))) (SYMM (ASSUME :args (_let_12))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.combS tptp.combK tptp.combK tptp.r QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_79)) _let_80 :args (_let_86 false _let_10)) :args (_let_85 true _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_1 tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_83 false _let_8)) :args (_let_82 true _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_76 (not _let_78)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.combS _let_71 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) _let_16 :args ((not _let_76) false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.combS tptp.combK _let_72 _let_70 QUANTIFIERS_INST_CBQI_PROP)) :args _let_79)) _let_80 :args (_let_78 false _let_10)) :args (_let_77 true _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_1 tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_75 false _let_7)) :args (_let_74 true _let_73 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_67 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_66 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair tptp.combK R) tptp.contract) false))))) :args _let_39)) _let_40 :args ((not _let_67) false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_1 tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_69 false _let_5)) :args (_let_68 true _let_67 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_1 tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_65 false _let_9)) :args (_let_58 false _let_2 true _let_63 true _let_62 true _let_61 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_1 tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_60 false _let_6)) :args (_let_26 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_51 _let_50 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) _let_16 :args ((not _let_52) false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.combS tptp.combK _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_54 false _let_7)) :args (_let_53 true _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_42 (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_41 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_48)) _let_49 :args ((not _let_42) false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.combS tptp.combK _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45)) _let_46 :args (_let_44 false _let_6)) :args (_let_43 true _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) _let_40 :args ((not _let_33) false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.combS tptp.combK _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_5)) :args (_let_34 true _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.combS tptp.combK _let_13 QUANTIFIERS_INST_E_MATCHING _let_31)) :args _let_29)) _let_30 :args (_let_28 false _let_9)) :args (_let_17 false _let_26 true _let_25 true _let_24 true _let_23 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.combS tptp.combK _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_22)) :args _let_20)) _let_21 :args (_let_19 false _let_8)) :args (_let_14 false _let_17 false _let_19)) _let_16 :args (false false _let_14 false _let_11)) :args ((forall ((U $$unsorted) (V $$unsorted)) (tptp.member U (tptp.cons U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member U (tptp.cons W V)))) (forall ((U $$unsorted)) (or (not (tptp.member U tptp.nat)) (tptp.member (tptp.succ U) tptp.nat))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= (tptp.inr U) (tptp.inr V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= (tptp.inl U) (tptp.inl V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member (tptp.inl U) (tptp.disjsum V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member (tptp.inr U) (tptp.disjsum W V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member U V)) (not (tptp.member W (tptp.cons U X))) (tptp.member (tptp.cons_subsetI_sk1 U X V) X) (tptp.member W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member U V)) (not (tptp.member (tptp.cons_subsetI_sk1 U W V) V)) (not (tptp.member X (tptp.cons U W))) (tptp.member X V))) (forall ((A $$unsorted) (C $$unsorted) (B $$unsorted)) (or (not (tptp.member A C)) (not (tptp.subset B C)) (tptp.subset (tptp.cons A B) C))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) W)) (tptp.member (tptp.pair V U) (tptp.converse W)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (= (tptp.cons U tptp.eptset) (tptp.cons V tptp.eptset)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U V)) (tptp.member U (tptp.succ V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (tptp.member U (tptp.succ V)))) (forall ((U $$unsorted)) (tptp.member U (tptp.cons U tptp.eptset))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member U (tptp.cons W V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (tptp.member U (tptp.cons V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member U W) (tptp.member U (tptp.diff V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (not (tptp.member U W)) (tptp.member U (tptp.int V W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member U (tptp.un W V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member U (tptp.un V W)))) (forall ((U $$unsorted) (V $$unsorted)) (or (tptp.member (tptp.powI_sk1 U V) U) (tptp.member U (tptp.pow V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member (tptp.powI_sk1 U V) V)) (tptp.member U (tptp.pow V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member (tptp.interI_sk1 W V) V) (tptp.member W (tptp.inter V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.interI_sk1 U V))) (not (tptp.member W V)) (tptp.member U (tptp.inter V)))) (forall ((U $$unsorted)) (or (tptp.member (tptp.card_Union_sk1 U) U) (tptp.card (tptp.union U)))) (forall ((U $$unsorted)) (or (not (tptp.card (tptp.card_Union_sk1 U))) (tptp.card (tptp.union U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.fin V))) (or (not (tptp.member U _let_1)) (tptp.member (tptp.int U W) _let_1)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.fin V))) (or (not (tptp.member U _let_1)) (tptp.member (tptp.int W U) _let_1)))) (forall ((U $$unsorted)) (or (tptp.member (tptp.order_Inter_sk1 U) U) (tptp.ord (tptp.inter U)))) (forall ((U $$unsorted)) (or (not (tptp.ord (tptp.order_Inter_sk1 U))) (tptp.ord (tptp.inter U)))) (forall ((U $$unsorted)) (or (tptp.member (tptp.order_Union_sk1 U) U) (tptp.ord (tptp.union U)))) (forall ((U $$unsorted)) (or (not (tptp.ord (tptp.order_Union_sk1 U))) (tptp.ord (tptp.union U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ord U)) (not (tptp.ord V)) 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$$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.qPair U V) (tptp.qconverse W))) (tptp.member (tptp.qPair V U) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.qPair U V) (tptp.qPair W X))) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.qPair U V) (tptp.qPair W X))) (= V X))) (forall ((U $$unsorted)) (or (not (tptp.member (tptp.succ U) tptp.nat)) (tptp.member U tptp.nat))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.pair U V) (tptp.pair W X)) (tptp.rmult Y Z X1 X2))) (tptp.rmultE_c1 U V W X Y Z X1 X2) (tptp.rmultE_c2 U V W X Y Z X1 X2))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c1 U V W X Y Z X1 X2)) (tptp.member (tptp.pair U W) Z))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c1 U V W X Y Z X1 X2)) (tptp.member U Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c1 U V W X Y Z X1 X2)) (tptp.member W Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c1 U V W X Y Z X1 X2)) (tptp.member V X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c1 U V W X Y Z X1 X2)) (tptp.member X X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c2 U V W X Y Z X1 X2)) (tptp.member (tptp.pair V X) X2))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c2 U V W X Y Z X1 X2)) (tptp.member W Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c2 U V W X Y Z X1 X2)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c2 U V W X Y Z X1 X2)) (tptp.member V X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.rmultE_c2 U V W X Y Z X1 X2)) (tptp.member X X1))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (not (tptp.member (tptp.pair (tptp.inr U) (tptp.inl V)) (tptp.radd W X Y Z)))) (forall ((U $$unsorted) (V 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(tptp.subset A B)) (not (tptp.member C A)) (tptp.member C B))) (forall ((C $$unsorted) (A $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair C A) R)) (tptp.member A (tptp.field R)))) (forall ((A $$unsorted) (B $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair A B) R)) (tptp.member A (tptp.field R)))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.pair A B) tptp.eptset))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.pair A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (not (= (tptp.pair A B) B))) (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.member (tptp.subsetI_sk1 A B) A) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.member (tptp.subsetI_sk1 A B) B)) (tptp.subset A B))) (forall ((A $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset B C)) (tptp.subset A C))) (forall ((X $$unsorted) (A $$unsorted)) (or (not (tptp.member X tptp.eptset)) (tptp.member X A))) (forall ((A $$unsorted)) (tptp.subset tptp.eptset A)) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset B A)) (= A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.subset B A))) _let_12 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))) _let_11 _let_10 (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= Q1 Q2))) (forall ((P1 $$unsorted) (P2 $$unsorted) (Q1 $$unsorted) (Q2 $$unsorted)) (or (not (= P1 P2)) (not (= Q1 Q2)) (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member P tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member Q tptp.comb))) (tptp.member tptp.combK tptp.comb) (tptp.member tptp.combS tptp.comb) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.comb_app P Q) tptp.comb))) (forall ((A $$unsorted)) (or (not (tptp.member A tptp.comb)) (tptp.member (tptp.pair A A) (tptp.rtrancl tptp.contract)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK P) Q) P) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (not (tptp.member R tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) (tptp.comb_app (tptp.comb_app P R) (tptp.comb_app Q R))) tptp.contract))) _let_9 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member R tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member Q tptp.comb))) _let_8 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1p P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1q P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= R (tptp.comb_app (tptp.comb_app (tptp.ap_contractE_sk1p P Q R) Q) (tptp.comb_app (tptp.ap_contractE_sk1q P Q R) Q))))) _let_7 _let_6 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (= R (tptp.comb_app (tptp.ap_contractE_sk2q P Q R) Q)))) _let_5 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member P tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (= R (tptp.comb_app P (tptp.ap_contractE_sk3q P Q R))))) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 34.50/34.70  )
% 34.50/34.71  % SZS output end Proof for COL090-2
% 34.50/34.71  % cvc5---1.0.5 exiting
% 34.50/34.71  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------