TSTP Solution File: PUZ039-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ039-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 13:13:04 EDT 2023
% Result : Unsatisfiable 1.67s 1.94s
% Output : Proof 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : PUZ039-10 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n005.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 : Sat Aug 26 22:28:38 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.R6zv21AZCK/cvc5---1.0.5_5578.p...
% 0.21/0.52 ------- get file name : TPTP file name is PUZ039-10
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5578.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.67/1.94 % SZS status Unsatisfiable for PUZ039-10
% 1.67/1.94 % SZS output start Proof for PUZ039-10
% 1.67/1.95 (
% 1.67/1.95 (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 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s tptp.o)))) (not (= (tptp.state B V1 V2 V3 (tptp.v4 _let_1 _let_1) H S1 S2 S3 S4 E1 E2) tptp.true)))))) (let ((_let_2 (tptp.s tptp.o))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.e1 _let_5 tptp.o))) (let ((_let_7 (tptp.s4 _let_5 _let_3))) (let ((_let_8 (tptp.s3 _let_5 _let_2))) (let ((_let_9 (tptp.s2 _let_4 _let_3))) (let ((_let_10 (tptp.s1 _let_4 _let_2))) (let ((_let_11 (tptp.h _let_3 _let_2))) (let ((_let_12 (tptp.v4 _let_3 _let_4))) (let ((_let_13 (tptp.v3 _let_3 tptp.o))) (let ((_let_14 (tptp.v2 tptp.o _let_4))) (let ((_let_15 (tptp.v1 tptp.o tptp.o))) (let ((_let_16 (tptp.bb tptp.o _let_2))) (let ((_let_17 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (tptp.e2 _let_5 _let_4)))) (let ((_let_18 (= _let_17 tptp.true))) (let ((_let_19 (forall ((B $$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 $$unsorted)) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W)) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 Q W) (tptp.e2 X Y)) tptp.true) tptp.true)))) (let ((_let_20 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2) tptp.true) tptp.true))))) (let ((_let_21 (forall ((B $$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))) (= (tptp.ifeq (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.true (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)) tptp.true) tptp.true)))))) (let ((_let_22 (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))) (= (tptp.ifeq (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))))) (let ((_let_23 (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X _let_1) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X _let_1) (tptp.e1 X Y) E2) tptp.true) tptp.true))))) (let ((_let_24 (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 _let_1 Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 _let_1 Y) S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_26 (= tptp.true _let_17))) (let ((_let_27 (tptp.e2 _let_5 tptp.o))) (let ((_let_28 (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_27))) (let ((_let_29 (= tptp.true (tptp.ifeq _let_17 tptp.true _let_28 tptp.true)))) (let ((_let_30 (= _let_28 (tptp.ifeq tptp.true tptp.true _let_28 tptp.true)))) (let ((_let_31 (tptp.s4 _let_5 _let_4))) (let ((_let_32 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_31 (tptp.e1 _let_5 _let_3) _let_27))) (let ((_let_33 (= tptp.true (tptp.ifeq _let_28 tptp.true _let_32 tptp.true)))) (let ((_let_34 (= _let_32 (tptp.ifeq tptp.true tptp.true _let_32 tptp.true)))) (let ((_let_35 (tptp.s2 _let_5 _let_3))) (let ((_let_36 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_35 _let_8 _let_31 (tptp.e1 _let_4 _let_3) _let_27))) (let ((_let_37 (= tptp.true (tptp.ifeq _let_32 tptp.true _let_36 tptp.true)))) (let ((_let_38 (= _let_36 (tptp.ifeq tptp.true tptp.true _let_36 tptp.true)))) (let ((_let_39 (tptp.e2 _let_4 _let_3))) (let ((_let_40 (tptp.state _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_35 _let_8 _let_31 _let_6 _let_39))) (let ((_let_41 (= tptp.true (tptp.ifeq _let_36 tptp.true _let_40 tptp.true)))) (let ((_let_42 (= _let_40 (tptp.ifeq tptp.true tptp.true _let_40 tptp.true)))) (let ((_let_43 (tptp.v3 _let_4 tptp.o))) (let ((_let_44 (tptp.state _let_16 _let_15 _let_14 _let_43 _let_12 _let_11 _let_10 _let_35 _let_8 _let_31 (tptp.e1 _let_3 tptp.o) _let_39))) (let ((_let_45 (= tptp.true (tptp.ifeq _let_40 tptp.true _let_44 tptp.true)))) (let ((_let_46 (= _let_44 (tptp.ifeq tptp.true tptp.true _let_44 tptp.true)))) (let ((_let_47 (tptp.h _let_3 tptp.o))) (let ((_let_48 (tptp.state _let_16 _let_15 _let_14 _let_43 _let_12 _let_47 _let_10 _let_35 _let_8 _let_31 (tptp.e1 _let_3 _let_3) _let_39))) (let ((_let_49 (= tptp.true (tptp.ifeq _let_44 tptp.true _let_48 tptp.true)))) (let ((_let_50 (= _let_48 (tptp.ifeq tptp.true tptp.true _let_48 tptp.true)))) (let ((_let_51 (tptp.e2 _let_4 _let_4))) (let ((_let_52 (tptp.e1 _let_3 _let_4))) (let ((_let_53 (tptp.v4 _let_3 _let_3))) (let ((_let_54 (tptp.state _let_16 _let_15 _let_14 _let_43 _let_53 _let_47 _let_10 _let_35 _let_8 _let_31 _let_52 _let_51))) (let ((_let_55 (= tptp.true (tptp.ifeq _let_48 tptp.true _let_54 tptp.true)))) (let ((_let_56 (= _let_54 (tptp.ifeq tptp.true tptp.true _let_54 tptp.true)))) (let ((_let_57 (= tptp.true _let_54))) (let ((_let_58 (SYMM (ASSUME :args (_let_18))))) (let ((_let_59 (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 $$unsorted)) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W)) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 Q W) (tptp.e2 X Y)) tptp.true))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((tptp.state B V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 Q W))))) (let ((_let_63 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.ifeq A A B C)))) (let ((_let_67 (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))) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X _let_1) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X _let_1) (tptp.e1 X Y) E2) tptp.true)))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (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))) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 _let_1 Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 _let_1 Y) S3 S4 (tptp.e1 X Y) E2) tptp.true)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (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))) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (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))) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2) tptp.true)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (= tptp.true (tptp.ifeq (tptp.state B V1 V2 V3 (tptp.v4 X _let_1) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y)) tptp.true (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)) tptp.true))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (forall ((B $$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.true (tptp.state B V1 V2 V3 (tptp.v4 _let_1 _let_1) H S1 S2 S3 S4 E1 E2))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (and _let_26 _let_29 _let_30 _let_33 _let_34 _let_37 _let_38 _let_41 _let_42 _let_45 _let_46 _let_49 _let_50 _let_55 _let_56))) (let ((_let_80 (ASSUME :args (_let_56)))) (let ((_let_81 (APPLY_UF tptp.ifeq))) (let ((_let_82 (REFL :args (tptp.true)))) (let ((_let_83 (SYMM _let_58))) (let ((_let_84 (ASSUME :args (_let_49)))) (let ((_let_85 (ASSUME :args (_let_46)))) (let ((_let_86 (ASSUME :args (_let_41)))) (let ((_let_87 (ASSUME :args (_let_38)))) (let ((_let_88 (ASSUME :args (_let_33)))) (let ((_let_89 (ASSUME :args (_let_30)))) (let ((_let_90 (ASSUME :args (_let_29)))) (let ((_let_91 (ASSUME :args (_let_34)))) (let ((_let_92 (ASSUME :args (_let_37)))) (let ((_let_93 (ASSUME :args (_let_42)))) (let ((_let_94 (ASSUME :args (_let_45)))) (let ((_let_95 (ASSUME :args (_let_50)))) (let ((_let_96 (ASSUME :args (_let_55)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_96 _let_93 _let_90 _let_89 _let_92 _let_88 _let_80 _let_58 _let_85 _let_91 _let_94 _let_87 _let_86 _let_95 _let_84) (SCOPE (TRANS (SYMM (SYMM _let_96)) (CONG (TRANS (TRANS (SYMM (SYMM _let_95)) (CONG (TRANS _let_58 (TRANS _let_83 (SYMM (SYMM _let_94)) (CONG (TRANS (TRANS (SYMM (SYMM _let_93)) (CONG (TRANS _let_58 (TRANS _let_83 (SYMM (SYMM _let_92)) (CONG (TRANS (TRANS (SYMM (SYMM _let_91)) (CONG (TRANS _let_58 (TRANS _let_83 (SYMM (SYMM _let_90)) (CONG _let_83 _let_82 (REFL :args (_let_28)) _let_82 :args _let_81) (SYMM _let_89))) _let_82 (REFL :args (_let_32)) _let_82 :args _let_81) (SYMM _let_88) _let_58) _let_83) _let_82 (REFL :args (_let_36)) _let_82 :args _let_81) (SYMM _let_87))) _let_82 (REFL :args (_let_40)) _let_82 :args _let_81) (SYMM _let_86) _let_58) _let_83) _let_82 (REFL :args (_let_44)) _let_82 :args _let_81) (SYMM _let_85))) _let_82 (REFL :args (_let_48)) _let_82 :args _let_81) (SYMM _let_84) _let_58) _let_83) _let_82 (REFL :args (_let_54)) _let_82 :args _let_81) (SYMM _let_80)) :args (_let_55 _let_42 _let_29 _let_30 _let_37 _let_33 _let_56 _let_26 _let_46 _let_34 _let_45 _let_38 _let_41 _let_50 _let_49))) :args (_let_26 _let_29 _let_30 _let_33 _let_34 _let_37 _let_38 _let_41 _let_42 _let_45 _let_46 _let_49 _let_50 _let_55 _let_56))) :args (true _let_79)) :args ((or (not _let_26) (not _let_29) (not _let_30) (not _let_33) (not _let_34) (not _let_37) (not _let_38) (not _let_41) (not _let_42) (not _let_45) (not _let_46) (not _let_49) (not _let_50) (not _let_55) _let_57 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_16 _let_15 _let_14 _let_43 _let_47 _let_10 _let_35 _let_8 _let_31 _let_52 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.state B V1 V2 V3 _let_53 H S1 S2 S3 S4 E1 E2)))) :args (_let_77))) _let_78 :args ((not _let_57) false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_54 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_56 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_16 _let_15 _let_14 _let_43 _let_3 _let_3 _let_47 _let_10 _let_35 _let_8 _let_31 QUANTIFIERS_INST_E_MATCHING ((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))))) :args (_let_75))) _let_76 :args (_let_55 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_48 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_50 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_16 _let_15 _let_14 _let_43 _let_12 _let_3 tptp.o _let_10 _let_35 _let_8 _let_31 _let_39 QUANTIFIERS_INST_E_MATCHING ((tptp.state B V1 V2 V3 V4 (tptp.h X (tptp.s Y)) S1 S2 S3 S4 (tptp.e1 X Y) E2)))) :args (_let_73))) _let_74 :args (_let_49 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_44 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_46 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_16 _let_15 _let_14 _let_3 tptp.o _let_12 _let_11 _let_10 _let_35 _let_8 _let_31 _let_39 QUANTIFIERS_INST_E_MATCHING ((tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s (tptp.s X)) Y) E2)))) :args (_let_71))) _let_72 :args (_let_45 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_40 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_42 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_35 _let_8 _let_31 _let_4 _let_3 _let_5 tptp.o QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_61)) _let_60 :args (_let_41 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_36 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_38 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_4 _let_3 _let_8 _let_31 _let_27 QUANTIFIERS_INST_E_MATCHING ((tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 (tptp.s X) Y) E2)))) :args (_let_69))) _let_70 :args (_let_37 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_32 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_34 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_5 _let_3 _let_27 QUANTIFIERS_INST_E_MATCHING ((tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X (tptp.s Y)) E2)))) :args (_let_67))) _let_68 :args (_let_33 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.true _let_28 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_30 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :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_62)) :args _let_61)) _let_60 :args (_let_29 false _let_59)) _let_58 :args (false true _let_57 false _let_56 false _let_55 false _let_50 false _let_49 false _let_46 false _let_45 false _let_42 false _let_41 false _let_38 false _let_37 false _let_34 false _let_33 false _let_30 false _let_29 false _let_26)) :args (_let_25 (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 X _let_1) E2) tptp.true (tptp.state B V1 V2 V3 V4 H (tptp.s1 X _let_1) S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H (tptp.s1 X _let_1) S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 X _let_1) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 _let_1 Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H (tptp.s1 _let_1 Y) S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H (tptp.s1 _let_1 Y) S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H (tptp.s1 X Y) S2 S3 S4 (tptp.e1 _let_1 Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 X _let_1) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X _let_1) S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X _let_1) S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 X _let_1) E2) tptp.true) tptp.true))) _let_24 (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 _let_1 Y) S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 _let_1 Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 X _let_1) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X _let_1) S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X _let_1) S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 X _let_1) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 _let_1 Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 _let_1 Y) S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 _let_1 Y) S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 _let_1 Y) E2) tptp.true) tptp.true))) _let_23 (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X _let_1) (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 X _let_1) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 _let_1 Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 _let_1 Y) (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 _let_1 Y) (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 V4 H S1 S2 S3 (tptp.s4 X Y) (tptp.e1 _let_1 Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (X $$unsorted) (Y $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (= (tptp.ifeq (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2)) tptp.true (tptp.state B (tptp.v1 X _let_2) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)) tptp.true) tptp.true)))) (forall ((B $$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))) (= (tptp.ifeq (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.true (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)) tptp.true) tptp.true)))) (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))) (= (tptp.ifeq (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true (tptp.state B (tptp.v1 _let_1 Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B (tptp.v1 _let_1 Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (V1 $$unsorted) (X $$unsorted) (Y $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (= (tptp.ifeq (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2)) tptp.true (tptp.state B V1 (tptp.v2 X _let_2) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)) tptp.true) tptp.true)))) (forall ((B $$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))) (= (tptp.ifeq (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.true (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)) tptp.true) tptp.true)))) (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))) (= (tptp.ifeq (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true (tptp.state B V1 (tptp.v2 _let_1 Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (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))) (= (tptp.ifeq (tptp.state B V1 (tptp.v2 _let_1 Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 (tptp.v2 X Y) V3 V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (= (tptp.ifeq (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2)) tptp.true (tptp.state B V1 V2 (tptp.v3 X _let_2) V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)) tptp.true) tptp.true)))) (forall ((B $$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))) (= (tptp.ifeq (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.true (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)) tptp.true) tptp.true)))) _let_22 (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))) (= (tptp.ifeq (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s X))) (let ((_let_2 (tptp.s Y))) (= (tptp.ifeq (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_1 _let_2)) tptp.true (tptp.state B V1 V2 V3 (tptp.v4 X _let_2) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_1 Y)) tptp.true) tptp.true)))) _let_21 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (= (tptp.ifeq (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (X $$unsorted) (Y $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (= (tptp.ifeq (tptp.state B V1 V2 V3 (tptp.v4 _let_1 Y) H S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2) tptp.true) tptp.true))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s Y))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2) tptp.true (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2) tptp.true) tptp.true))) _let_20 (forall ((B $$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))) (= (tptp.ifeq (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.true (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.true) tptp.true)))) (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (X $$unsorted) (Y $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (= (tptp.ifeq (tptp.state B V1 V2 V3 V4 (tptp.h _let_2 Y) S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1)) tptp.true (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 _let_2 Y) (tptp.e2 _let_2 _let_1)) tptp.true) tptp.true)))) (forall ((X $$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))) (= (tptp.ifeq (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.true (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)) tptp.true) tptp.true))))) (forall ((X $$unsorted) (Y $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V3 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s _let_1))) (let ((_let_3 (tptp.s X))) (= (tptp.ifeq (tptp.state (tptp.bb X _let_1) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_3 Y)) tptp.true (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_2) (tptp.e2 _let_3 _let_2)) tptp.true) tptp.true))))) (forall ((X $$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))) (= (tptp.ifeq (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.true (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.true) tptp.true))))) (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))) (= (tptp.ifeq (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.true (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.true) tptp.true))))) _let_19 _let_18 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.67/1.95 )
% 1.67/1.95 % SZS output end Proof for PUZ039-10
% 1.67/1.95 % cvc5---1.0.5 exiting
% 1.67/1.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------