TSTP Solution File: PUZ039-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 1.10s 1.30s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:25:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dnY3pcjP1X/cvc5---1.0.5_26703.p...
% 0.20/0.50 ------- get file name : TPTP file name is PUZ039-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26703.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.10/1.30 % SZS status Unsatisfiable for PUZ039-1
% 1.10/1.30 % SZS output start Proof for PUZ039-1
% 1.10/1.31 (
% 1.10/1.31 (let ((_let_1 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E1 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s tptp.o)))) (not (tptp.state B V1 V2 V3 (tptp.v4 _let_1 _let_1) H S1 S2 S3 S4 E1 E2)))))) (let ((_let_2 (tptp.s tptp.o))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.e1 _let_5 tptp.o))) (let ((_let_7 (tptp.s4 _let_5 _let_3))) (let ((_let_8 (tptp.s3 _let_5 _let_2))) (let ((_let_9 (tptp.s2 _let_4 _let_3))) (let ((_let_10 (tptp.s1 _let_4 _let_2))) (let ((_let_11 (tptp.h _let_3 _let_2))) (let ((_let_12 (tptp.v4 _let_3 _let_4))) (let ((_let_13 (tptp.v3 _let_3 tptp.o))) (let ((_let_14 (tptp.v2 tptp.o _let_4))) (let ((_let_15 (tptp.v1 tptp.o tptp.o))) (let ((_let_16 (tptp.bb tptp.o _let_2))) (let ((_let_17 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (tptp.e2 _let_5 _let_4)))) (let ((_let_18 (forall ((B $$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 $$unsorted)) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W))) (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 Q W) (tptp.e2 X Y)))))) (let ((_let_19 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2)))))) (let ((_let_20 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (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 ((_let_21 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$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)))))) (let ((_let_22 (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)))))) (let ((_let_23 (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)))))) (let ((_let_24 (tptp.e2 _let_4 _let_4))) (let ((_let_25 (tptp.e1 _let_3 _let_4))) (let ((_let_26 (tptp.s4 _let_5 _let_4))) (let ((_let_27 (tptp.s2 _let_5 _let_3))) (let ((_let_28 (tptp.h _let_3 tptp.o))) (let ((_let_29 (tptp.v4 _let_3 _let_3))) (let ((_let_30 (tptp.v3 _let_4 tptp.o))) (let ((_let_31 (tptp.state _let_16 _let_15 _let_14 _let_30 _let_29 _let_28 _let_10 _let_27 _let_8 _let_26 _let_25 _let_24))) (let ((_let_32 (_let_1))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.e2 _let_4 _let_3))) (let ((_let_35 (tptp.state _let_16 _let_15 _let_14 _let_30 _let_12 _let_28 _let_10 _let_27 _let_8 _let_26 (tptp.e1 _let_3 _let_3) _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_31))) (let ((_let_38 (_let_20))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.state _let_16 _let_15 _let_14 _let_30 _let_12 _let_11 _let_10 _let_27 _let_8 _let_26 (tptp.e1 _let_3 tptp.o) _let_34))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_35))) (let ((_let_43 (_let_19))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_27 _let_8 _let_26 _let_6 _let_34))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_40))) (let ((_let_48 (_let_21))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (tptp.e2 _let_5 tptp.o))) (let ((_let_51 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_27 _let_8 _let_26 (tptp.e1 _let_4 _let_3) _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_45))) (let ((_let_54 (_let_18))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 ((not (= (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W)) false))))) (let ((_let_57 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_26 (tptp.e1 _let_5 _let_3) _let_50))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_51))) (let ((_let_60 (_let_23))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (tptp.e1 _let_5 _let_4) _let_50))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_57))) (let ((_let_65 (_let_22))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (not _let_17))) (let ((_let_68 (or _let_67 _let_62))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_16 _let_15 _let_14 _let_30 _let_28 _let_10 _let_27 _let_8 _let_26 _let_25 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.state B V1 V2 V3 _let_29 H S1 S2 S3 S4 E1 E2) false))))) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_35 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_40 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_45 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_51 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_57 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_62 (not _let_68)))) (ASSUME :args (_let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_5 tptp.o _let_5 _let_4 QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_54)) _let_55 :args (_let_68 false _let_18)) :args (_let_62 false _let_17 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_5 _let_3 _let_50 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X (tptp.s Y)) E2) false))))) :args _let_65)) _let_66 :args (_let_64 false _let_22)) :args (_let_57 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_4 _let_3 _let_8 _let_26 _let_50 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 (tptp.s X) Y) E2) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_23)) :args (_let_51 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_27 _let_8 _let_26 _let_4 _let_3 _let_5 tptp.o QUANTIFIERS_INST_E_MATCHING _let_56)) :args _let_54)) _let_55 :args (_let_53 false _let_18)) :args (_let_45 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_16 _let_15 _let_14 _let_3 tptp.o _let_12 _let_11 _let_10 _let_27 _let_8 _let_26 _let_34 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s (tptp.s X)) Y) E2) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_21)) :args (_let_40 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_16 _let_15 _let_14 _let_30 _let_12 _let_3 tptp.o _let_10 _let_27 _let_8 _let_26 _let_34 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 V4 (tptp.h X (tptp.s Y)) S1 S2 S3 S4 (tptp.e1 X Y) E2) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_19)) :args (_let_35 false _let_40 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_16 _let_15 _let_14 _let_30 _let_3 _let_3 _let_28 _let_10 _let_27 _let_8 _let_26 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 V3 (tptp.v4 X (tptp.s Y)) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 (tptp.s X) Y)) false))))) :args _let_38)) _let_39 :args (_let_37 false _let_20)) :args (_let_31 false _let_35 false _let_37)) _let_33 :args (false false _let_31 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)))) (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)))) (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)))) _let_23 (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)))) (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)))) (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)))) _let_22 (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)))))) (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)))) (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)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B V1 V2 (tptp.v3 X _let_2) V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))) (forall ((B $$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)))))) _let_21 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$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 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2))) (tptp.state B V1 V2 V3 (tptp.v4 X _let_2) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)))))) _let_20 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2)) (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2)))) _let_19 (forall ((B $$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))))))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s X))) (or (not (tptp.state (tptp.bb X _let_1) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_3 Y))) (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_3 _let_2))))))) (forall ((X $$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_18 _let_17 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.10/1.31 )
% 1.10/1.31 % SZS output end Proof for PUZ039-1
% 1.10/1.31 % cvc5---1.0.5 exiting
% 1.10/1.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------