TSTP Solution File: LCL672+1.001 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 07:03:02 EDT 2023

% Result   : Theorem 3.63s 3.85s
% Output   : Proof 3.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 07:27:51 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 3.63/3.85  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qcPjVWTOd4/cvc5---1.0.5_30633.p...
% 3.63/3.85  ------- get file name : TPTP file name is LCL672+1.001
% 3.63/3.85  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30633.smt2...
% 3.63/3.85  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.63/3.85  % SZS status Theorem for LCL672+1.001
% 3.63/3.85  % SZS output start Proof for LCL672+1.001
% 3.63/3.85  (
% 3.63/3.85  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)))))))) (tptp.p1 Y)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X)))))))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) false)))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y)))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_9 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((Y $$unsorted) (BOUND_VARIABLE_890 $$unsorted) (BOUND_VARIABLE_888 $$unsorted) (BOUND_VARIABLE_886 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_886)) (not (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_890)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_890 X)) (tptp.p1 X)))) (not (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_888)) (tptp.p1 BOUND_VARIABLE_888))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_8))) (let ((_let_14 (and _let_13 _let_12 _let_10))) (let ((_let_15 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_19 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_20 (not _let_19))) (let ((_let_21 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Y)) (tptp.p1 Y))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or (and (not _let_3) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_843 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_843)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_843 Y)) (not (tptp.p1 Y)))))))) _let_28) _let_14 (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_925 $$unsorted) (BOUND_VARIABLE_915 $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (tptp.r1 Y BOUND_VARIABLE_915)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_915 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (tptp.r1 Y BOUND_VARIABLE_925)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_925 Y)) (tptp.p1 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p1 Y))))) _let_6 _let_4 _let_26 _let_24 _let_22 _let_20 _let_18 _let_17 _let_15))) (let ((_let_30 (forall ((X $$unsorted) (BOUND_VARIABLE_999 $$unsorted) (BOUND_VARIABLE_984 $$unsorted) (BOUND_VARIABLE_982 $$unsorted) (BOUND_VARIABLE_980 $$unsorted) (BOUND_VARIABLE_974 $$unsorted)) (or (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_843 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.p1 Y)) (not (tptp.r1 Y BOUND_VARIABLE_843)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_843 Y)) (not (tptp.p1 Y)))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_890 $$unsorted) (BOUND_VARIABLE_888 $$unsorted) (BOUND_VARIABLE_886 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_886)) (not (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_890)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_890 X)) (tptp.p1 X)))) (not (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_888)) (tptp.p1 BOUND_VARIABLE_888)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_925 $$unsorted) (BOUND_VARIABLE_915 $$unsorted)) (or (not (tptp.r1 X Y)) (not (tptp.r1 Y BOUND_VARIABLE_915)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_915 Y)) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X))))))) (not (tptp.r1 Y BOUND_VARIABLE_925)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_925 Y)) (tptp.p1 Y))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (and (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (forall ((X $$unsorted)) (not (tptp.r1 Y X))))))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p1 Y))))) (not (tptp.r1 X BOUND_VARIABLE_974)) (tptp.p2 BOUND_VARIABLE_974) (not (tptp.r1 X BOUND_VARIABLE_980)) (not (tptp.r1 BOUND_VARIABLE_980 BOUND_VARIABLE_984)) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 BOUND_VARIABLE_984 Y)) (tptp.p1 Y)))) (not (tptp.r1 BOUND_VARIABLE_980 BOUND_VARIABLE_982)) (tptp.p1 BOUND_VARIABLE_982) (not (tptp.r1 X BOUND_VARIABLE_999)) (tptp.p1 BOUND_VARIABLE_999))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (or))) (let ((_let_34 (not _let_30))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) (REFL :args (_let_31)) :args _let_33)) _let_32 :args (_let_31 true _let_30)))) (let ((_let_36 (or _let_17 _let_15))) (let ((_let_37 (not _let_36))) (let ((_let_38 (REFL :args (_let_29)))) (let ((_let_39 (_let_27))) (let ((_let_40 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 X)) (tptp.p1 X))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_26 _let_24 _let_41 _let_20 _let_18))) (let ((_let_45 (not _let_44))) (let ((_let_46 (_let_2))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (_let_11))) (let ((_let_49 (_let_14))) (let ((_let_50 (not _let_7))) (let ((_let_51 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p2 Y) true))))) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_50))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 4)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_33)) :args ((or _let_5 _let_29))) _let_35 :args (_let_5 true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 5)) _let_35 :args ((not _let_4) true _let_29)) :args (_let_50 false _let_5 true _let_4)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_3 (= Y Y)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_49) (CONG (REFL :args _let_49) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_33)) :args ((or _let_8 _let_11 _let_9 _let_14))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r1 Y BOUND_VARIABLE_886) false)) (not (= (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_890) false)) (not (= (tptp.r1 BOUND_VARIABLE_886 BOUND_VARIABLE_888) false))))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_26 _let_24 _let_20 _let_18 _let_43 _let_41 _let_45))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 6)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_33)) :args ((or _let_25 _let_29))) _let_35 :args (_let_25 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 7)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_33)) :args ((or _let_23 _let_29))) _let_35 :args (_let_23 true _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 9)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_33)) :args ((or _let_19 _let_29))) _let_35 :args (_let_19 true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 10)) _let_35 :args ((not _let_18) true _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 X X) true))))) :args _let_46)) _let_47 :args (_let_42 false _let_2)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_21 (= Y X)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 8)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_33)) :args ((or _let_21 _let_29))) _let_35 :args (_let_21 true _let_29)) :args (_let_40 false _let_21)) :args (_let_45 false _let_25 false _let_23 false _let_19 true _let_18 false _let_42 false _let_40)) :args (_let_12 true _let_44)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_27 (= Y Y)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_17 _let_15 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 11)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_33)) :args ((or _let_16 _let_29))) _let_35 :args (_let_16 true _let_29)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 12)) _let_35 :args ((not _let_15) true _let_29)) :args (_let_37 false _let_16 true _let_15)) :args (_let_28 true _let_36)) :args (_let_10 true _let_27)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 1)) _let_35 :args ((not _let_14) true _let_29)) :args (_let_8 true _let_11 true _let_9 true _let_14)) :args (_let_3 false _let_8)) :args (false true _let_7 false _let_3)) :args (_let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.r1 X Y) (tptp.r1 Y Z)) (tptp.r1 X Z))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.67/3.87  )
% 3.67/3.87  % SZS output end Proof for LCL672+1.001
% 3.67/3.87  % cvc5---1.0.5 exiting
% 3.67/3.87  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------