TSTP Solution File: NUM757^1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM757^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 10:47:41 EDT 2023
% Result : Theorem 0.23s 0.57s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM757^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.16 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 16:37:40 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.52 %----Proving TH0
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 % File : NUM757^1 : TPTP v8.1.2. Released v3.7.0.
% 0.23/0.54 % Domain : Number Theory
% 0.23/0.54 % Problem : Landau theorem 63c
% 0.23/0.54 % Version : Especial.
% 0.23/0.54 % English : lessf x y
% 0.23/0.54
% 0.23/0.54 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.23/0.54 % : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.23/0.54 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.23/0.54 % Source : [Bro09]
% 0.23/0.54 % Names : satz63c [Lan30]
% 0.23/0.54 % : satz73c [Lan30]
% 0.23/0.54
% 0.23/0.54 % Status : Theorem
% 0.23/0.54 % : Without extensionality : Theorem
% 0.23/0.54 % Rating : 0.09 v8.1.0, 0.00 v6.1.0, 0.17 v5.5.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.1, 0.33 v4.0.0, 0.00 v3.7.0
% 0.23/0.54 % Syntax : Number of formulae : 15 ( 2 unt; 8 typ; 0 def)
% 0.23/0.54 % Number of atoms : 15 ( 0 equ; 0 cnn)
% 0.23/0.54 % Maximal formula atoms : 6 ( 2 avg)
% 0.23/0.54 % Number of connectives : 63 ( 11 ~; 0 |; 0 &; 42 @)
% 0.23/0.54 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.23/0.54 % Maximal formula depth : 13 ( 7 avg)
% 0.23/0.54 % Number of types : 2 ( 1 usr)
% 0.23/0.54 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.23/0.54 % Number of symbols : 7 ( 7 usr; 3 con; 0-2 aty)
% 0.23/0.54 % Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% 0.23/0.54 % SPC : TH0_THM_NEQ_NAR
% 0.23/0.54
% 0.23/0.54 % Comments :
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 thf(frac_type,type,
% 0.23/0.54 frac: $tType ).
% 0.23/0.54
% 0.23/0.54 thf(x,type,
% 0.23/0.54 x: frac ).
% 0.23/0.54
% 0.23/0.54 thf(y,type,
% 0.23/0.54 y: frac ).
% 0.23/0.54
% 0.23/0.54 thf(z,type,
% 0.23/0.54 z: frac ).
% 0.23/0.54
% 0.23/0.54 thf(lessf,type,
% 0.23/0.54 lessf: frac > frac > $o ).
% 0.23/0.54
% 0.23/0.54 thf(pf,type,
% 0.23/0.54 pf: frac > frac > frac ).
% 0.23/0.54
% 0.23/0.54 thf(l,axiom,
% 0.23/0.54 lessf @ ( pf @ x @ z ) @ ( pf @ y @ z ) ).
% 0.23/0.54
% 0.23/0.54 thf(et,axiom,
% 0.23/0.54 ! [Xa: $o] :
% 0.23/0.54 ( ~ ~ Xa
% 0.23/0.54 => Xa ) ).
% 0.23/0.54
% 0.23/0.54 thf(moref,type,
% 0.23/0.54 moref: frac > frac > $o ).
% 0.23/0.54
% 0.23/0.54 thf(eq,type,
% 0.23/0.54 eq: frac > frac > $o ).
% 0.23/0.54
% 0.23/0.54 thf(satz41b,axiom,
% 0.23/0.54 ! [Xx: frac,Xy: frac] :
% 0.23/0.54 ~ ( ( ( eq @ Xx @ Xy )
% 0.23/0.54 => ~ ( moref @ Xx @ Xy ) )
% 0.23/0.54 => ~ ~ ( ( ( moref @ Xx @ Xy )
% 0.23/0.54 => ~ ( lessf @ Xx @ Xy ) )
% 0.23/0.54 => ~ ( ( lessf @ Xx @ Xy )
% 0.23/0.54 => ~ ( eq @ Xx @ Xy ) ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(satz62a,axiom,
% 0.23/0.54 ! [Xx: frac,Xy: frac,Xz: frac] :
% 0.23/0.54 ( ( moref @ Xx @ Xy )
% 0.23/0.54 => ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(satz62b,axiom,
% 0.23/0.54 ! [Xx: frac,Xy: frac,Xz: frac] :
% 0.23/0.54 ( ( eq @ Xx @ Xy )
% 0.23/0.54 => ( eq @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(satz41a,axiom,
% 0.23/0.54 ! [Xx: frac,Xy: frac] :
% 0.23/0.54 ( ~ ( eq @ Xx @ Xy )
% 0.23/0.54 => ( ~ ( moref @ Xx @ Xy )
% 0.23/0.54 => ( lessf @ Xx @ Xy ) ) ) ).
% 0.23/0.54
% 0.23/0.54 thf(satz63c,conjecture,
% 0.23/0.54 lessf @ x @ y ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cVgTzZtgL7/cvc5---1.0.5_12217.p...
% 0.23/0.54 (declare-sort $$unsorted 0)
% 0.23/0.54 (declare-sort tptp.frac 0)
% 0.23/0.54 (declare-fun tptp.x () tptp.frac)
% 0.23/0.54 (declare-fun tptp.y () tptp.frac)
% 0.23/0.54 (declare-fun tptp.z () tptp.frac)
% 0.23/0.54 (declare-fun tptp.lessf (tptp.frac tptp.frac) Bool)
% 0.23/0.54 (declare-fun tptp.pf (tptp.frac tptp.frac) tptp.frac)
% 0.23/0.54 (assert (@ (@ tptp.lessf (@ (@ tptp.pf tptp.x) tptp.z)) (@ (@ tptp.pf tptp.y) tptp.z)))
% 0.23/0.54 (assert (forall ((Xa Bool)) (=> (not (not Xa)) Xa)))
% 0.23/0.54 (declare-fun tptp.moref (tptp.frac tptp.frac) Bool)
% 0.23/0.54 (declare-fun tptp.eq (tptp.frac tptp.frac) Bool)
% 0.23/0.54 (assert (forall ((Xx tptp.frac) (Xy tptp.frac)) (let ((_let_1 (@ (@ tptp.eq Xx) Xy))) (let ((_let_2 (@ (@ tptp.lessf Xx) Xy))) (let ((_let_3 (@ (@ tptp.moref Xx) Xy))) (not (=> (=> _let_1 (not _let_3)) (not (not (=> (=> _let_3 (not _let_2)) (not (=> _let_2 (not _let_1)))))))))))))
% 0.23/0.54 (assert (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (@ (@ tptp.moref (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))))
% 0.23/0.54 (assert (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (=> (@ (@ tptp.eq Xx) Xy) (@ (@ tptp.eq (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))))
% 0.23/0.54 (assert (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (not (@ (@ tptp.eq Xx) Xy)) (=> (not (@ (@ tptp.moref Xx) Xy)) (@ (@ tptp.lessf Xx) Xy)))))
% 0.23/0.57 (assert (not (@ (@ tptp.lessf tptp.x) tptp.y)))
% 0.23/0.57 (set-info :filename cvc5---1.0.5_12217)
% 0.23/0.57 (check-sat-assuming ( true ))
% 0.23/0.57 ------- get file name : TPTP file name is NUM757^1
% 0.23/0.57 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12217.smt2...
% 0.23/0.57 --- Run --ho-elim --full-saturate-quant at 10...
% 0.23/0.57 % SZS status Theorem for NUM757^1
% 0.23/0.57 % SZS output start Proof for NUM757^1
% 0.23/0.57 (
% 0.23/0.57 (let ((_let_1 (not (@ (@ tptp.lessf tptp.x) tptp.y)))) (let ((_let_2 (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (not (@ (@ tptp.eq Xx) Xy)) (=> (not (@ (@ tptp.moref Xx) Xy)) (@ (@ tptp.lessf Xx) Xy)))))) (let ((_let_3 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (=> (@ (@ tptp.eq Xx) Xy) (@ (@ tptp.eq (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))))) (let ((_let_4 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (@ (@ tptp.moref (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))))) (let ((_let_5 (forall ((Xx tptp.frac) (Xy tptp.frac)) (let ((_let_1 (@ (@ tptp.eq Xx) Xy))) (let ((_let_2 (@ (@ tptp.lessf Xx) Xy))) (let ((_let_3 (@ (@ tptp.moref Xx) Xy))) (not (=> (=> _let_1 (not _let_3)) (not (not (=> (=> _let_3 (not _let_2)) (not (=> _let_2 (not _let_1)))))))))))))) (let ((_let_6 (@ (@ tptp.lessf (@ (@ tptp.pf tptp.x) tptp.z)) (@ (@ tptp.pf tptp.y) tptp.z)))) (let ((_let_7 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (or (not (ho_7 (ho_6 k_9 Xx) Xy)) (ho_7 (ho_6 k_9 (ho_4 (ho_3 k_2 Xx) Xz)) (ho_4 (ho_3 k_2 Xy) Xz)))))) (let ((_let_8 (ho_4 (ho_3 k_2 tptp.y) tptp.z))) (let ((_let_9 (ho_4 (ho_3 k_2 tptp.x) tptp.z))) (let ((_let_10 (ho_7 (ho_6 k_9 _let_9) _let_8))) (let ((_let_11 (ho_7 (ho_6 k_9 tptp.x) tptp.y))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (or (not (@ (@ tptp.moref Xx) Xy)) (@ (@ tptp.moref (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))) _let_7))))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (ho_7 (ho_6 k_5 tptp.x) tptp.y))) (let ((_let_17 (ho_7 (ho_6 k_8 tptp.x) tptp.y))) (let ((_let_18 (or _let_17 _let_11 _let_16))) (let ((_let_19 (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (ho_7 (ho_6 k_8 Xx) Xy) (ho_7 (ho_6 k_9 Xx) Xy) (ho_7 (ho_6 k_5 Xx) Xy))))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (@ (@ tptp.eq Xx) Xy) (@ (@ tptp.moref Xx) Xy) (@ (@ tptp.lessf Xx) Xy))) _let_19))))))) (let ((_let_21 (ho_7 (ho_6 k_8 _let_9) _let_8))) (let ((_let_22 (not _let_17))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (or (not (ho_7 (ho_6 k_8 Xx) Xy)) (ho_7 (ho_6 k_8 (ho_4 (ho_3 k_2 Xx) Xz)) (ho_4 (ho_3 k_2 Xy) Xz)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (or (not (@ (@ tptp.eq Xx) Xy)) (@ (@ tptp.eq (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))) _let_24))))))) (let ((_let_26 (tptp.x tptp.y tptp.z QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_27 (not _let_21))) (let ((_let_28 (ho_7 (ho_6 k_5 _let_9) _let_8))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27))) (let ((_let_31 (forall ((BOUND_VARIABLE_703 tptp.frac) (BOUND_VARIABLE_705 tptp.frac)) (or (not (ho_7 (ho_6 k_5 BOUND_VARIABLE_703) BOUND_VARIABLE_705)) (not (ho_7 (ho_6 k_8 BOUND_VARIABLE_703) BOUND_VARIABLE_705)))))) (let ((_let_32 (forall ((BOUND_VARIABLE_690 tptp.frac) (BOUND_VARIABLE_692 tptp.frac)) (or (not (ho_7 (ho_6 k_9 BOUND_VARIABLE_690) BOUND_VARIABLE_692)) (not (ho_7 (ho_6 k_5 BOUND_VARIABLE_690) BOUND_VARIABLE_692)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (and (forall ((BOUND_VARIABLE_677 tptp.frac) (BOUND_VARIABLE_679 tptp.frac)) (or (not (@ (@ tptp.eq BOUND_VARIABLE_677) BOUND_VARIABLE_679)) (not (@ (@ tptp.moref BOUND_VARIABLE_677) BOUND_VARIABLE_679)))) (forall ((BOUND_VARIABLE_690 tptp.frac) (BOUND_VARIABLE_692 tptp.frac)) (or (not (@ (@ tptp.moref BOUND_VARIABLE_690) BOUND_VARIABLE_692)) (not (@ (@ tptp.lessf BOUND_VARIABLE_690) BOUND_VARIABLE_692)))) (forall ((BOUND_VARIABLE_703 tptp.frac) (BOUND_VARIABLE_705 tptp.frac)) (or (not (@ (@ tptp.lessf BOUND_VARIABLE_703) BOUND_VARIABLE_705)) (not (@ (@ tptp.eq BOUND_VARIABLE_703) BOUND_VARIABLE_705))))) (and (forall ((BOUND_VARIABLE_677 tptp.frac) (BOUND_VARIABLE_679 tptp.frac)) (or (not (ho_7 (ho_6 k_8 BOUND_VARIABLE_677) BOUND_VARIABLE_679)) (not (ho_7 (ho_6 k_9 BOUND_VARIABLE_677) BOUND_VARIABLE_679)))) _let_32 _let_31)))))))) (let ((_let_34 (_let_31))) (let ((_let_35 (forall ((u |u_(-> tptp.frac tptp.frac)|) (e tptp.frac) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac tptp.frac)|)) (not (forall ((ii tptp.frac)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_36 (forall ((x |u_(-> tptp.frac tptp.frac)|) (y |u_(-> tptp.frac tptp.frac)|)) (or (not (forall ((z tptp.frac)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_37 (forall ((u |u_(-> tptp.frac tptp.frac tptp.frac)|) (e |u_(-> tptp.frac tptp.frac)|) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac tptp.frac tptp.frac)|)) (not (forall ((ii tptp.frac)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_38 (forall ((x |u_(-> tptp.frac tptp.frac tptp.frac)|) (y |u_(-> tptp.frac tptp.frac tptp.frac)|)) (or (not (forall ((z tptp.frac)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_39 (forall ((u |u_(-> tptp.frac Bool)|) (e Bool) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac Bool)|)) (not (forall ((ii tptp.frac)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_40 (forall ((x |u_(-> tptp.frac Bool)|) (y |u_(-> tptp.frac Bool)|)) (or (not (forall ((z tptp.frac)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_41 (forall ((u |u_(-> tptp.frac tptp.frac Bool)|) (e |u_(-> tptp.frac Bool)|) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac tptp.frac Bool)|)) (not (forall ((ii tptp.frac)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_42 (forall ((x |u_(-> tptp.frac tptp.frac Bool)|) (y |u_(-> tptp.frac tptp.frac Bool)|)) (or (not (forall ((z tptp.frac)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_43 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_6)) (PREPROCESS :args ((= _let_6 _let_28)))) (PREPROCESS :args ((and _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35)))) :args ((and _let_28 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 _let_35))) :args (0)))) (let ((_let_44 (not _let_10))) (let ((_let_45 (or _let_44 _let_29))) (let ((_let_46 (_let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args _let_26) :args (_let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_10 _let_12 _let_15))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_29 _let_44 (not _let_45)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_7 (ho_6 k_5 BOUND_VARIABLE_690) BOUND_VARIABLE_692) false))))) :args _let_46)) (AND_ELIM _let_33 :args (1)) :args (_let_45 false _let_32)) :args (_let_44 false _let_28 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_16 _let_17 _let_11 (not _let_18)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_16))))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_27 (not _let_30)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (_let_9 _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_7 (ho_6 k_5 BOUND_VARIABLE_703) BOUND_VARIABLE_705) false))))) :args _let_34)) (AND_ELIM _let_33 :args (2)) :args (_let_30 false _let_31)) :args (_let_27 false _let_28 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args _let_26) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_22 true _let_21 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.x tptp.y QUANTIFIERS_INST_E_MATCHING ((not (= (ho_7 (ho_6 k_5 Xx) Xy) true))))) :args (_let_19))) _let_20 :args (_let_18 false _let_19)) :args (_let_11 true _let_16 true _let_17 false _let_18)) :args (_let_15 true _let_10 false _let_11)) _let_14 :args (false true _let_13 false _let_7)) :args (_let_6 (forall ((Xa Bool)) (=> (not (not Xa)) Xa)) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.58 )
% 0.23/0.58 % SZS output end Proof for NUM757^1
% 0.23/0.58 % cvc5---1.0.5 exiting
% 0.23/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------