TSTP Solution File: COL088-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 18:23:22 EDT 2023
% Result : Unsatisfiable 39.54s 39.77s
% Output : Proof 39.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : COL088-2 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sun Aug 27 04:24:41 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fzmy4spwcB/cvc5---1.0.5_6864.p...
% 0.22/0.54 ------- get file name : TPTP file name is COL088-2
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6864.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.36/10.59 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.38/15.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.45/20.68 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.49/25.70 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.53/30.74 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.59/35.79 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 39.54/39.77 % SZS status Unsatisfiable for COL088-2
% 39.54/39.77 % SZS output start Proof for COL088-2
% 39.54/39.77 (
% 39.54/39.77 (let ((_let_1 (tptp.rtrancl tptp.contract))) (let ((_let_2 (tptp.comb_app tptp.z tptp.r))) (let ((_let_3 (tptp.comb_app tptp.p tptp.r))) (let ((_let_4 (tptp.member (tptp.pair _let_3 _let_2) _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.comb_app tptp.y tptp.r))) (let ((_let_7 (tptp.member (tptp.pair _let_3 _let_6) _let_1))) (let ((_let_8 (tptp.member (tptp.pair tptp.y tptp.z) tptp.contract))) (let ((_let_9 (tptp.member tptp.r tptp.comb))) (let ((_let_10 (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member (tptp.pair P3 Q3) tptp.contract)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app Q3 R3) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app P3 R3) C) _let_1)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.member (tptp.pair A B) tptp.contract)) (tptp.member B tptp.comb))))) (let ((_let_12 (forall ((R $$unsorted)) (tptp.trans (tptp.rtrancl R))))) (let ((_let_13 (forall ((R $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.trans R)) (not (tptp.member (tptp.pair A B) R)) (not (tptp.member (tptp.pair B C) R)) (tptp.member (tptp.pair A C) R))))) (let ((_let_14 (forall ((A $$unsorted)) (or (not (tptp.member A tptp.comb)) (tptp.member (tptp.pair A A) (tptp.rtrancl tptp.contract)))))) (let ((_let_15 (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))))) (let ((_let_16 (tptp.member (tptp.pair _let_6 _let_2) _let_1))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_7))) (let ((_let_19 (tptp.trans _let_1))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_17 _let_4))) (let ((_let_22 (_let_13))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.member (tptp.pair _let_2 _let_2) _let_1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_9))) (let ((_let_28 (not _let_8))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_16))) (let ((_let_30 (_let_10))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.member _let_2 tptp.comb))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_25))) (let ((_let_35 (_let_14))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.member tptp.z tptp.comb))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_27 _let_32))) (let ((_let_40 (_let_15))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (or _let_28 _let_37))) (let ((_let_43 (_let_11))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (ASSUME :args (_let_8)))) (let ((_let_46 (ASSUME :args (_let_9)))) (let ((_let_47 (_let_12))) (let ((_let_48 (ASSUME :args _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 _let_3 _let_6 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_4 _let_18 _let_20 _let_17 _let_24))) (ASSUME :args (_let_5)) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.contract QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rtrancl R)))) :args _let_47)) _let_48 :args (_let_19 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_26 _let_16 (not _let_29)))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_25 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_27 _let_32 _let_38 (not _let_39)))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_28 _let_37 (not _let_42)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.y tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_43)) _let_44 :args (_let_42 false _let_11)) :args (_let_37 false _let_8 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.z tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.comb_app P Q)))) :args _let_40)) _let_41 :args (_let_39 false _let_15)) :args (_let_32 false _let_9 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member A tptp.comb) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_14)) :args (_let_25 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.y tptp.z tptp.r _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.pair P3 Q3) (tptp.pair (tptp.comb_app Q3 R3) C)))) :args _let_30)) _let_31 :args (_let_29 false _let_10)) :args (_let_16 false _let_9 false _let_8 false _let_25 false _let_29)) :args (_let_24 true _let_4 false _let_7 false _let_19 false _let_16)) _let_23 :args (false true _let_21 false _let_13)) :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 $$unsorted)) (or (not (tptp.ord U)) (not (tptp.ord V)) (tptp.ord (tptp.un U V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.pair U V) W)) (not (tptp.member (tptp.pair V X) Y)) (tptp.member (tptp.pair U X) (tptp.comp Y W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.pair U V) W)) (not (tptp.member V X)) (tptp.member U (tptp.vimage W X)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.pair U V) W)) (not (tptp.member U X)) (tptp.member V (tptp.image W X)))) (forall ((U $$unsorted) (V $$unsorted)) (not (= (tptp.qInr U) (tptp.qInl V)))) (forall ((U $$unsorted) (V $$unsorted)) (not (= (tptp.qInl U) (tptp.qInr V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.qInr U) (tptp.qInr V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.qInl U) (tptp.qInl V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.qsum V W))) (tptp.member (tptp.qsumE_sk1 U V W) V) (tptp.member (tptp.qsumE_sk2 U V W) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.qsum V W))) (tptp.member (tptp.qsumE_sk1 U V W) V) (= U (tptp.qInr (tptp.qsumE_sk2 U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.qsum V W))) (= U (tptp.qInl (tptp.qsumE_sk1 U V W))) (tptp.member (tptp.qsumE_sk2 U V W) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.qsum V W))) (= U (tptp.qInl (tptp.qsumE_sk1 U V W))) (= U (tptp.qInr (tptp.qsumE_sk2 U V W))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.qconverse V))) (= U (tptp.qPair (tptp.qconverseE_sk2 U V) (tptp.qconverseE_sk1 U V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.qconverse V))) (tptp.member (tptp.qPair (tptp.qconverseE_sk1 U V) (tptp.qconverseE_sk2 U V)) V))) (forall ((U $$unsorted) (V $$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 $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inr U) (tptp.inr V)) (tptp.radd W X Y Z))) (tptp.member U Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inr U) (tptp.inr V)) (tptp.radd W X Y Z))) (tptp.member V Y))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inr U) (tptp.inr V)) (tptp.radd W X Y Z))) (tptp.member (tptp.pair U V) Z))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inl U) (tptp.inl V)) (tptp.radd W X Y Z))) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inl U) (tptp.inl V)) (tptp.radd W X Y Z))) (tptp.member V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inl U) (tptp.inl V)) (tptp.radd W X Y Z))) (tptp.member (tptp.pair U V) X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inl U) (tptp.inr V)) (tptp.radd W X Y Z))) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.inl U) (tptp.inr V)) (tptp.radd W X Y Z))) (tptp.member V Y))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.le (tptp.succ U) V)) (tptp.lt U V))) (forall ((U $$unsorted)) (or (not (tptp.le tptp.eptset (tptp.succ U))) (tptp.ord U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) (tptp.memrel W))) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) (tptp.memrel W))) (tptp.member V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) (tptp.memrel W))) (tptp.member U V))) (forall ((U $$unsorted)) (or (not (tptp.le U tptp.eptset)) (= U tptp.eptset))) (forall ((U $$unsorted)) (or (not (tptp.le U U)) (tptp.ord U))) (forall ((U $$unsorted)) (or (not (tptp.ord (tptp.succ U))) (tptp.ord U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.comp V W))) (= U (tptp.pair (tptp.compE_sk1 U V W) (tptp.compE_sk3 U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.comp V W))) (tptp.member (tptp.pair (tptp.compE_sk1 U V W) (tptp.compE_sk2 U V W)) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.comp V W))) (tptp.member (tptp.pair (tptp.compE_sk2 U V W) (tptp.compE_sk3 U V W)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.id V))) (tptp.member (tptp.idE_sk1 U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.idE_sk1 U V))) (or (not (tptp.member U (tptp.id V))) (= U (tptp.pair _let_1 _let_1))))) (forall ((U $$unsorted) (V $$unsorted)) (not (= (tptp.inr U) (tptp.inl V)))) (forall ((U $$unsorted) (V $$unsorted)) (not (= (tptp.inl U) (tptp.inr V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.inr U) (tptp.inr V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.inl U) (tptp.inl V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.disjsum V W))) (tptp.member (tptp.sumE_sk1 U V W) V) (tptp.member (tptp.sumE_sk2 U V W) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.disjsum V W))) (tptp.member (tptp.sumE_sk1 U V W) V) (= U (tptp.inr (tptp.sumE_sk2 U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.disjsum V W))) (= U (tptp.inl (tptp.sumE_sk1 U V W))) (tptp.member (tptp.sumE_sk2 U V W) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.disjsum V W))) (= U (tptp.inl (tptp.sumE_sk1 U V W))) (= U (tptp.inr (tptp.sumE_sk2 U V W))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.vimage V W))) (tptp.member (tptp.pair U (tptp.vimageE_sk1 U V W)) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.vimage V W))) (tptp.member (tptp.vimageE_sk1 U V W) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.image V W))) (tptp.member (tptp.pair (tptp.imageE_sk1 U V W) U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.image V W))) (tptp.member (tptp.imageE_sk1 U V W) W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.field V))) (tptp.member (tptp.pair U (tptp.fieldE_sk1 U V)) V) (tptp.member (tptp.pair (tptp.fieldE_sk2 U V) U) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.range V))) (tptp.member (tptp.pair (tptp.rangeE_sk1 U V) U) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.domain V))) (tptp.member (tptp.pair U (tptp.domainE_sk1 U V)) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (tptp.member (tptp.cons_subsetE_sk1 U V W) (tptp.cons U V)) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.cons_subsetE_sk1 U V W) W)) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member U V)) (tptp.member (tptp.cons_subsetE_sk1 W V X) (tptp.cons W V)) (tptp.member U X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.cons_subsetE_sk1 U V W) W)) (not (tptp.member X V)) (tptp.member X W))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset (tptp.cons A B) C)) (tptp.member A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset (tptp.cons A B) C)) (tptp.subset B C))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.converse V))) (= U (tptp.pair (tptp.converseE_sk2 U V) (tptp.converseE_sk1 U V))))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.converse V))) (tptp.member (tptp.pair (tptp.converseE_sk1 U V) (tptp.converseE_sk2 U V)) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.pair U V) (tptp.converse W))) (tptp.member (tptp.pair V U) W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.pair U V) (tptp.pair W X))) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.pair U V) (tptp.pair W X))) (= V X))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.eptset) (tptp.cons V tptp.eptset))) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.succ U) (tptp.succ V))) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.succ V))) (= U V) (tptp.member U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.cons V tptp.eptset))) (= U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.cons V W))) (= U V) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.diff V W))) (tptp.member U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.diff V W))) (not (tptp.member U W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.int V W))) (tptp.member U V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.int V W))) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.un V W))) (tptp.member U V) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.pow V))) (not (tptp.member W U)) (tptp.member W V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.union V))) (tptp.member U (tptp.unionE_sk1 U V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.member U (tptp.union V))) (tptp.member (tptp.unionE_sk1 U V) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U tptp.eptset)) (not (tptp.member V U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U (tptp.inter V))) (not (tptp.member W V)) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member U V)) (tptp.member (tptp.subsetD_sk1 V W U) V) (tptp.member U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.member (tptp.subsetD_sk1 U V W) V)) (not (tptp.member W U)) (tptp.member W V))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (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 $$unsorted)) (or (not (= A B)) (tptp.subset B A))) (not (= tptp.combK tptp.combS)) (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combS (tptp.comb_app P Q)))) (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= P1 P2))) (forall ((P1 $$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 $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member Q tptp.comb))) (tptp.member tptp.combK tptp.comb) (tptp.member tptp.combS tptp.comb) _let_15 _let_14 (forall ((P $$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))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.contract)) (tptp.ap_contractE_c1 P Q R) (tptp.ap_contractE_c2 P Q R) (tptp.ap_contractE_c3 P Q R) (tptp.ap_contractE_c4 P Q R))) (forall ((P $$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 $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (= P (tptp.comb_app tptp.combK R)))) (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))))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= P (tptp.comb_app (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p P Q R)) (tptp.ap_contractE_sk1q P Q R))))) (forall ((P $$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))) (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)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member (tptp.pair Q (tptp.ap_contractE_sk3q P Q R)) tptp.contract))) (forall ((P $$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 $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (= R (tptp.comb_app P (tptp.ap_contractE_sk3q P Q R))))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combK R) tptp.contract))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combS R) tptp.contract))) _let_13 _let_12 _let_11 (forall ((B $$unsorted) (Q3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member B tptp.comb)) (not (tptp.member Q3 tptp.comb)) (not (tptp.member (tptp.pair B C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK B) Q3) C) _let_1)))) (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member P3 tptp.comb)) (not (tptp.member Q3 tptp.comb)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app P3 R3) (tptp.comb_app Q3 R3)) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P3) Q3) R3) C) _let_1)))) _let_10 (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member (tptp.pair P3 Q3) tptp.contract)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app R3 Q3) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app R3 P3) C) _let_1)))) _let_9 (tptp.member tptp.p tptp.comb) (tptp.member (tptp.pair tptp.p tptp.y) _let_1) _let_8 _let_7 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))
% 39.54/39.77 )
% 39.54/39.78 % SZS output end Proof for COL088-2
% 39.54/39.78 % cvc5---1.0.5 exiting
% 39.63/39.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------