TSTP Solution File: PUZ040-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ040-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 13:13:05 EDT 2023
% Result : Unsatisfiable 6.80s 7.10s
% Output : Proof 6.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ040-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Sat Aug 26 23:26:57 EDT 2023
% 0.15/0.33 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.46 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3f2eqlZe5U/cvc5---1.0.5_30414.p...
% 0.19/0.48 ------- get file name : TPTP file name is PUZ040-1
% 0.19/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30414.smt2...
% 0.19/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.80/7.10 % SZS status Unsatisfiable for PUZ040-1
% 6.80/7.10 % SZS output start Proof for PUZ040-1
% 6.84/7.11 (
% 6.84/7.11 (let ((_let_1 (forall ((V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E1 $$unsorted) (E2 $$unsorted)) (not (tptp.state (tptp.bb tptp.o tptp.o) V1 V2 V3 V4 H S1 S2 S3 S4 E1 E2))))) (let ((_let_2 (tptp.s tptp.o))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.e2 _let_5 _let_4))) (let ((_let_7 (tptp.s4 _let_5 _let_3))) (let ((_let_8 (tptp.s2 _let_4 _let_3))) (let ((_let_9 (tptp.s1 _let_4 _let_2))) (let ((_let_10 (tptp.h _let_3 _let_2))) (let ((_let_11 (tptp.v4 _let_3 _let_4))) (let ((_let_12 (tptp.v3 _let_3 tptp.o))) (let ((_let_13 (tptp.v2 tptp.o _let_4))) (let ((_let_14 (tptp.v1 tptp.o tptp.o))) (let ((_let_15 (tptp.bb tptp.o _let_2))) (let ((_let_16 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (tptp.s3 _let_5 _let_2) _let_7 (tptp.e1 _let_5 tptp.o) _let_6))) (let ((_let_17 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (X $$unsorted) (Y $$unsorted) (Q $$unsorted) (W $$unsorted)) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W))) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 Q W) (tptp.e2 X Y)))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s X))) (or (not (tptp.state (tptp.bb X _let_1) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_3 Y))) (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_3 _let_2))))))))) (let ((_let_19 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2)) (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2)))))) (let ((_let_20 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2)))))) (let ((_let_21 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B V1 V2 (tptp.v3 X _let_2) V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))))) (let ((_let_22 (forall ((B $$unsorted) (X $$unsorted) (Y $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B (tptp.v1 _let_1 Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)))))) (let ((_let_23 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (X $$unsorted) (Y $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X _let_1) S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 X _let_1) E2)))))) (let ((_let_24 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (X $$unsorted) (Y $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 _let_1 Y) E2)) (tptp.state B V1 V2 V3 V4 H (tptp.s1 _let_1 Y) S2 S3 S4 (tptp.e1 X Y) E2)))))) (let ((_let_25 (tptp.e2 _let_2 _let_3))) (let ((_let_26 (tptp.e1 tptp.o _let_3))) (let ((_let_27 (tptp.s3 _let_5 tptp.o))) (let ((_let_28 (tptp.s1 _let_5 _let_2))) (let ((_let_29 (tptp.h _let_3 _let_3))) (let ((_let_30 (tptp.v4 _let_4 _let_4))) (let ((_let_31 (tptp.v3 _let_3 _let_2))) (let ((_let_32 (tptp.v1 _let_3 tptp.o))) (let ((_let_33 (tptp.bb tptp.o tptp.o))) (let ((_let_34 (tptp.state _let_33 _let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_26 _let_25))) (let ((_let_35 (_let_1))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.e1 tptp.o tptp.o))) (let ((_let_38 (tptp.state _let_15 _let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_37 (tptp.e2 _let_2 tptp.o)))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_34))) (let ((_let_41 (_let_18))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.e2 tptp.o tptp.o))) (let ((_let_44 (tptp.state _let_15 _let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_2 tptp.o) _let_43))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_38))) (let ((_let_47 (_let_17))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((not (= (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W)) false))))) (let ((_let_50 (tptp.v1 _let_2 tptp.o))) (let ((_let_51 (tptp.state _let_15 _let_50 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_4 tptp.o) _let_43))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_44))) (let ((_let_54 (_let_22))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((not (= (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s (tptp.s X)) Y) E2) false))))) (let ((_let_57 (tptp.e2 _let_4 tptp.o))) (let ((_let_58 (tptp.state _let_15 _let_50 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_37 _let_57))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_51))) (let ((_let_61 (tptp.state _let_15 _let_14 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_3 tptp.o) _let_57))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_58))) (let ((_let_64 (tptp.e2 _let_4 _let_2))) (let ((_let_65 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_3 _let_2) _let_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_61))) (let ((_let_68 (_let_21))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (tptp.s Y))) (let ((_let_71 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_30 _let_10 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_3 _let_4) _let_64))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_65))) (let ((_let_74 (_let_19))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_5 _let_4) _let_64))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_71))) (let ((_let_79 (_let_20))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_28 _let_8 _let_27 _let_7 (tptp.e1 _let_4 _let_2) _let_6))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_76))) (let ((_let_84 (tptp.state _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_27 _let_7 (tptp.e1 _let_5 _let_2) _let_6))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_81))) (let ((_let_87 (_let_24))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (not _let_16))) (let ((_let_90 (or _let_89 _let_84))) (let ((_let_91 (_let_23))) (let ((_let_92 (ASSUME :args _let_91))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_26 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.state _let_33 V1 V2 V3 V4 H S1 S2 S3 S4 E1 E2) false))))) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_34 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_38 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_44 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_51 (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_58 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_61 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_65 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_71 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_76 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_85 _let_81 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_89 _let_84 (not _let_90)))) (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_5 tptp.o _let_7 _let_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X (tptp.s Y)) S4 (tptp.e1 X Y) E2) false))))) :args _let_91)) _let_92 :args (_let_90 false _let_23)) :args (_let_84 false _let_16 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_4 _let_2 _let_8 _let_27 _let_7 _let_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 (tptp.s X) Y) E2) false))))) :args _let_87)) _let_88 :args (_let_86 false _let_24)) :args (_let_81 false _let_84 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_28 _let_8 _let_27 _let_7 _let_4 _let_2 _let_5 _let_4 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_83 false _let_17)) :args (_let_76 false _let_81 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_15 _let_14 _let_13 _let_12 _let_3 _let_4 _let_10 _let_28 _let_8 _let_27 _let_7 _let_64 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s (tptp.s X)) Y) E2) false))))) :args _let_79)) _let_80 :args (_let_78 false _let_20)) :args (_let_71 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_15 _let_14 _let_13 _let_12 _let_30 _let_3 _let_2 _let_28 _let_8 _let_27 _let_7 _let_64 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s (tptp.s Y))) E2) false))))) :args _let_74)) _let_75 :args (_let_73 false _let_19)) :args (_let_65 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_15 _let_14 _let_13 _let_3 tptp.o _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_70) (tptp.e2 (tptp.s X) _let_70)) false))))) :args _let_68)) _let_69 :args (_let_67 false _let_21)) :args (_let_61 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_15 tptp.o tptp.o _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_57 QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_54)) _let_55 :args (_let_63 false _let_22)) :args (_let_58 false _let_61 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_15 _let_50 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 tptp.o tptp.o _let_4 tptp.o QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_60 false _let_17)) :args (_let_51 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_15 _let_2 tptp.o _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_43 QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_54)) _let_55 :args (_let_53 false _let_22)) :args (_let_44 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_15 _let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 _let_2 tptp.o tptp.o tptp.o QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_46 false _let_17)) :args (_let_38 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.o tptp.o _let_32 _let_13 _let_31 _let_30 _let_29 _let_28 _let_8 _let_27 _let_7 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state (tptp.bb X (tptp.s Y)) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 (tptp.s X) Y)) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_18)) :args (_let_34 false _let_38 false _let_40)) _let_36 :args (false false _let_34 false _let_1)) :args ((forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (X $$unsorted) (Y $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 X _let_1) E2)) (tptp.state B V1 V2 V3 V4 H (tptp.s1 X _let_1) S2 S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (X $$unsorted) (Y $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H (tptp.s1 X _let_1) S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 X _let_1) E2)))) _let_24 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (X $$unsorted) (Y $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H (tptp.s1 _let_1 Y) S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 _let_1 Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (X $$unsorted) (Y $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 X _let_1) E2)) (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X _let_1) S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (X $$unsorted) (Y $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X _let_1) S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 X _let_1) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (X $$unsorted) (Y $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 _let_1 Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 _let_1 Y) S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (X $$unsorted) (Y $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 _let_1 Y) S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 _let_1 Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (X $$unsorted) (Y $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 X _let_1) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X _let_1) S4 (tptp.e1 X Y) E2)))) _let_23 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (X $$unsorted) (Y $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 _let_1 Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 _let_1 Y) S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (X $$unsorted) (Y $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 _let_1 Y) S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 _let_1 Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (X $$unsorted) (Y $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X _let_1) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X _let_1) (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (X $$unsorted) (Y $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X _let_1) (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X _let_1) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (X $$unsorted) (Y $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 _let_1 Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 _let_1 Y) (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (X $$unsorted) (Y $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 _let_1 Y) (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 _let_1 Y) E2)))) (forall ((B $$unsorted) (X $$unsorted) (Y $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B (tptp.v1 X _let_2) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))) (forall ((B $$unsorted) (X $$unsorted) (Y $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B (tptp.v1 X _let_1) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) _let_22 (forall ((B $$unsorted) (X $$unsorted) (Y $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B (tptp.v1 _let_1 Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (X $$unsorted) (Y $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B V1 (tptp.v2 X _let_2) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))) (forall ((B $$unsorted) (V1 $$unsorted) (X $$unsorted) (Y $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 (tptp.v2 X _let_1) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) (forall ((B $$unsorted) (V1 $$unsorted) (X $$unsorted) (Y $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B V1 (tptp.v2 _let_1 Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (X $$unsorted) (Y $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 (tptp.v2 _let_1 Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)))) _let_21 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 (tptp.v3 X _let_1) V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B V1 V2 V3 (tptp.v4 X _let_2) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X _let_1) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) _let_20 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)))) _let_19 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 _let_2 Y) (tptp.e2 _let_2 _let_1))) (tptp.state B V1 V2 V3 V4 (tptp.h _let_2 Y) S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1)))))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h _let_2 Y) S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1))) (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 _let_2 Y) (tptp.e2 _let_2 _let_1)))))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (let ((_let_3 (tptp.s _let_2))) (or (not (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_3) (tptp.e2 _let_1 _let_3))) (tptp.state (tptp.bb X _let_2) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y))))))) _let_18 (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (let ((_let_3 (tptp.s _let_2))) (or (not (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 _let_3 Y) (tptp.e2 _let_3 _let_1))) (tptp.state (tptp.bb _let_2 Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1))))))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (let ((_let_3 (tptp.s _let_2))) (or (not (tptp.state (tptp.bb _let_2 Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1))) (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 _let_3 Y) (tptp.e2 _let_3 _let_1))))))) _let_17 _let_16 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.84/7.11 )
% 6.84/7.11 % SZS output end Proof for PUZ040-1
% 6.84/7.11 % cvc5---1.0.5 exiting
% 6.84/7.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------