TSTP Solution File: PUZ038-1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ038-1 : TPTP v8.1.2. Released v2.4.0.
% 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 13:13:04 EDT 2023

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : PUZ038-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit   : 300
% 0.17/0.35  % WCLimit    : 300
% 0.17/0.35  % DateTime   : Sat Aug 26 22:30:47 EDT 2023
% 0.17/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.TWLbfX9kNb/cvc5---1.0.5_29629.p...
% 0.21/0.51  ------- get file name : TPTP file name is PUZ038-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29629.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Unsatisfiable for PUZ038-1
% 0.21/0.58  % SZS output start Proof for PUZ038-1
% 0.21/0.59  (
% 0.21/0.59  (let ((_let_1 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E1 $$unsorted) (E2 $$unsorted)) (not (tptp.state B V1 V2 (tptp.v3 (tptp.s (tptp.s (tptp.s tptp.o))) tptp.o) V4 H S1 S2 S3 S4 E1 E2))))) (let ((_let_2 (tptp.s tptp.o))) (let ((_let_3 (tptp.s _let_2))) (let ((_let_4 (tptp.s _let_3))) (let ((_let_5 (tptp.s _let_4))) (let ((_let_6 (tptp.e2 _let_5 _let_4))) (let ((_let_7 (tptp.s4 _let_5 _let_3))) (let ((_let_8 (tptp.s3 _let_5 _let_2))) (let ((_let_9 (tptp.s2 _let_4 _let_3))) (let ((_let_10 (tptp.s1 _let_4 _let_2))) (let ((_let_11 (tptp.h _let_3 _let_2))) (let ((_let_12 (tptp.v4 _let_3 _let_4))) (let ((_let_13 (tptp.v2 tptp.o _let_4))) (let ((_let_14 (tptp.v1 tptp.o tptp.o))) (let ((_let_15 (tptp.bb tptp.o _let_2))) (let ((_let_16 (tptp.state _let_15 _let_14 _let_13 (tptp.v3 _let_3 tptp.o) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (tptp.e1 _let_5 tptp.o) _let_6))) (let ((_let_17 (forall ((B $$unsorted) (V1 $$unsorted) (V2 $$unsorted) (X $$unsorted) (Y $$unsorted) (V4 $$unsorted) (H $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (S3 $$unsorted) (S4 $$unsorted) (E2 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s _let_1) Y) E2)) (tptp.state B V1 V2 (tptp.v3 _let_1 Y) V4 H S1 S2 S3 S4 (tptp.e1 X Y) E2)))))) (let ((_let_18 (tptp.e1 _let_3 tptp.o))) (let ((_let_19 (tptp.v3 _let_4 tptp.o))) (let ((_let_20 (tptp.state _let_15 _let_14 _let_13 _let_19 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_18 _let_6))) (let ((_let_21 (_let_1))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_16))) (let ((_let_24 (or _let_23 _let_20))) (let ((_let_25 (_let_17))) (let ((_let_26 (ASSUME :args _let_25))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_18 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.state B V1 V2 _let_19 V4 H S1 S2 S3 S4 E1 E2) false))))) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_20 (not _let_24)))) (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_15 _let_14 _let_13 _let_3 tptp.o _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 (tptp.s (tptp.s X)) Y) E2) false))))) :args _let_25)) _let_26 :args (_let_24 false _let_17)) :args (_let_20 false _let_16 false _let_24)) _let_22 :args (false false _let_20 false _let_1)) :args ((forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X _let_1) S3 S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 (tptp.s2 X Y) S3 S4 (tptp.e1 X _let_1) E2)))) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 X _let_1) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X _let_1) S4 (tptp.e1 X Y) E2)))) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 _let_1 Y) S4 (tptp.e1 X Y) E2)) (tptp.state B V1 V2 V3 V4 H S1 S2 (tptp.s3 X Y) S4 (tptp.e1 _let_1 Y) E2)))) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B (tptp.v1 X _let_1) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B (tptp.v1 X Y) V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 (tptp.v3 X _let_1) V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B V1 V2 (tptp.v3 X Y) V4 H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) _let_17 (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (or (not (tptp.state B V1 V2 V3 (tptp.v4 X _let_1) H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 _let_2 Y))) (tptp.state B V1 V2 V3 (tptp.v4 X Y) H S1 S2 S3 S4 (tptp.e1 X _let_1) (tptp.e2 _let_2 _let_1)))))) (forall ((B $$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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (or (not (tptp.state B V1 V2 V3 V4 (tptp.h X Y) S1 S2 S3 S4 (tptp.e1 X (tptp.s _let_1)) E2)) (tptp.state B V1 V2 V3 V4 (tptp.h X _let_1) S1 S2 S3 S4 (tptp.e1 X Y) E2)))) (forall ((B $$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))))))) (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 $$unsorted)) (let ((_let_1 (tptp.s Y))) (let ((_let_2 (tptp.s X))) (let ((_let_3 (tptp.s _let_2))) (or (not (tptp.state (tptp.bb _let_2 Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 X Y) (tptp.e2 X _let_1))) (tptp.state (tptp.bb X Y) V1 V2 V3 V4 H S1 S2 S3 S4 (tptp.e1 _let_3 Y) (tptp.e2 _let_3 _let_1))))))) (forall ((B $$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_16 _let_1)))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for PUZ038-1
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------