TSTP Solution File: NUM760^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM760^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 10:47:43 EDT 2023
% Result : Theorem 0.19s 0.71s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM760^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 09:08:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TH0
% 0.19/0.48 %------------------------------------------------------------------------------
% 0.19/0.48 % File : NUM760^1 : TPTP v8.1.2. Released v3.7.0.
% 0.19/0.48 % Domain : Number Theory
% 0.19/0.48 % Problem : Landau theorem 64
% 0.19/0.48 % Version : Especial.
% 0.19/0.48 % English : moref (pf x z) (pf y u)
% 0.19/0.48
% 0.19/0.48 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.19/0.48 % : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.19/0.48 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.48 % Source : [Bro09]
% 0.19/0.48 % Names : satz64 [Lan30]
% 0.19/0.48
% 0.19/0.48 % Status : Theorem
% 0.19/0.48 % : Without extensionality : Theorem
% 0.19/0.48 % Rating : 0.18 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.33 v6.2.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v5.2.0, 0.25 v5.1.0, 0.50 v5.0.0, 0.25 v4.1.0, 0.33 v4.0.0, 0.67 v3.7.0
% 0.19/0.48 % Syntax : Number of formulae : 18 ( 4 unt; 9 typ; 0 def)
% 0.19/0.48 % Number of atoms : 17 ( 0 equ; 0 cnn)
% 0.19/0.48 % Maximal formula atoms : 4 ( 1 avg)
% 0.19/0.48 % Number of connectives : 54 ( 0 ~; 0 |; 0 &; 46 @)
% 0.19/0.48 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.19/0.48 % Maximal formula depth : 10 ( 6 avg)
% 0.19/0.48 % Number of types : 2 ( 1 usr)
% 0.19/0.48 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.19/0.48 % Number of symbols : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.48 % Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% 0.19/0.48 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.48
% 0.19/0.48 % Comments :
% 0.19/0.48 %------------------------------------------------------------------------------
% 0.19/0.48 thf(frac_type,type,
% 0.19/0.48 frac: $tType ).
% 0.19/0.48
% 0.19/0.48 thf(x,type,
% 0.19/0.48 x: frac ).
% 0.19/0.48
% 0.19/0.48 thf(y,type,
% 0.19/0.48 y: frac ).
% 0.19/0.48
% 0.19/0.48 thf(z,type,
% 0.19/0.48 z: frac ).
% 0.19/0.48
% 0.19/0.48 thf(u,type,
% 0.19/0.48 u: frac ).
% 0.19/0.48
% 0.19/0.48 thf(moref,type,
% 0.19/0.48 moref: frac > frac > $o ).
% 0.19/0.48
% 0.19/0.48 thf(m,axiom,
% 0.19/0.48 moref @ x @ y ).
% 0.19/0.48
% 0.19/0.48 thf(n,axiom,
% 0.19/0.48 moref @ z @ u ).
% 0.19/0.48
% 0.19/0.48 thf(pf,type,
% 0.19/0.48 pf: frac > frac > frac ).
% 0.19/0.48
% 0.19/0.48 thf(lessf,type,
% 0.19/0.48 lessf: frac > frac > $o ).
% 0.19/0.48
% 0.19/0.48 thf(satz43,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac] :
% 0.19/0.48 ( ( lessf @ Xx @ Xy )
% 0.19/0.48 => ( moref @ Xy @ Xx ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(satz50,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac,Xz: frac] :
% 0.19/0.48 ( ( lessf @ Xx @ Xy )
% 0.19/0.48 => ( ( lessf @ Xy @ Xz )
% 0.19/0.48 => ( lessf @ Xx @ Xz ) ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(satz42,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac] :
% 0.19/0.48 ( ( moref @ Xx @ Xy )
% 0.19/0.48 => ( lessf @ Xy @ Xx ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(eq,type,
% 0.19/0.48 eq: frac > frac > $o ).
% 0.19/0.48
% 0.19/0.48 thf(satz44,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac,Xz: frac,Xu: frac] :
% 0.19/0.48 ( ( moref @ Xx @ Xy )
% 0.19/0.48 => ( ( eq @ Xx @ Xz )
% 0.19/0.48 => ( ( eq @ Xy @ Xu )
% 0.19/0.48 => ( moref @ Xz @ Xu ) ) ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(satz61,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac,Xz: frac] :
% 0.19/0.48 ( ( moref @ Xx @ Xy )
% 0.19/0.48 => ( moref @ ( pf @ Xx @ Xz ) @ ( pf @ Xy @ Xz ) ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(satz58,axiom,
% 0.19/0.48 ! [Xx: frac,Xy: frac] : ( eq @ ( pf @ Xx @ Xy ) @ ( pf @ Xy @ Xx ) ) ).
% 0.19/0.48
% 0.19/0.48 thf(satz64,conjecture,
% 0.19/0.48 moref @ ( pf @ x @ z ) @ ( pf @ y @ u ) ).
% 0.19/0.48
% 0.19/0.48 %------------------------------------------------------------------------------
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lDQIRfHWkW/cvc5---1.0.5_12906.p...
% 0.19/0.48 (declare-sort $$unsorted 0)
% 0.19/0.48 (declare-sort tptp.frac 0)
% 0.19/0.48 (declare-fun tptp.x () tptp.frac)
% 0.19/0.48 (declare-fun tptp.y () tptp.frac)
% 0.19/0.48 (declare-fun tptp.z () tptp.frac)
% 0.19/0.48 (declare-fun tptp.u () tptp.frac)
% 0.19/0.48 (declare-fun tptp.moref (tptp.frac tptp.frac) Bool)
% 0.19/0.48 (assert (@ (@ tptp.moref tptp.x) tptp.y))
% 0.19/0.48 (assert (@ (@ tptp.moref tptp.z) tptp.u))
% 0.19/0.48 (declare-fun tptp.pf (tptp.frac tptp.frac) tptp.frac)
% 0.19/0.48 (declare-fun tptp.lessf (tptp.frac tptp.frac) Bool)
% 0.19/0.48 (assert (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (@ (@ tptp.lessf Xx) Xy) (@ (@ tptp.moref Xy) Xx))))
% 0.19/0.48 (assert (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (let ((_let_1 (@ tptp.lessf Xx))) (=> (@ _let_1 Xy) (=> (@ (@ tptp.lessf Xy) Xz) (@ _let_1 Xz))))))
% 0.19/0.48 (assert (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (@ (@ tptp.lessf Xy) Xx))))
% 0.19/0.48 (declare-fun tptp.eq (tptp.frac tptp.frac) Bool)
% 0.19/0.48 (assert (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac) (Xu tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (=> (@ (@ tptp.eq Xx) Xz) (=> (@ (@ tptp.eq Xy) Xu) (@ (@ tptp.moref Xz) Xu))))))
% 0.19/0.71 (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)))))
% 0.19/0.71 (assert (forall ((Xx tptp.frac) (Xy tptp.frac)) (@ (@ tptp.eq (@ (@ tptp.pf Xx) Xy)) (@ (@ tptp.pf Xy) Xx))))
% 0.19/0.71 (assert (not (@ (@ tptp.moref (@ (@ tptp.pf tptp.x) tptp.z)) (@ (@ tptp.pf tptp.y) tptp.u))))
% 0.19/0.71 (set-info :filename cvc5---1.0.5_12906)
% 0.19/0.71 (check-sat-assuming ( true ))
% 0.19/0.71 ------- get file name : TPTP file name is NUM760^1
% 0.19/0.71 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12906.smt2...
% 0.19/0.71 --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.71 % SZS status Theorem for NUM760^1
% 0.19/0.71 % SZS output start Proof for NUM760^1
% 0.19/0.71 (
% 0.19/0.71 (let ((_let_1 (not (@ (@ tptp.moref (@ (@ tptp.pf tptp.x) tptp.z)) (@ (@ tptp.pf tptp.y) tptp.u))))) (let ((_let_2 (forall ((Xx tptp.frac) (Xy tptp.frac)) (@ (@ tptp.eq (@ (@ tptp.pf Xx) Xy)) (@ (@ tptp.pf Xy) Xx))))) (let ((_let_3 (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_4 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac) (Xu tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (=> (@ (@ tptp.eq Xx) Xz) (=> (@ (@ tptp.eq Xy) Xu) (@ (@ tptp.moref Xz) Xu))))))) (let ((_let_5 (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (@ (@ tptp.moref Xx) Xy) (@ (@ tptp.lessf Xy) Xx))))) (let ((_let_6 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (let ((_let_1 (@ tptp.lessf Xx))) (=> (@ _let_1 Xy) (=> (@ (@ tptp.lessf Xy) Xz) (@ _let_1 Xz))))))) (let ((_let_7 (forall ((Xx tptp.frac) (Xy tptp.frac)) (=> (@ (@ tptp.lessf Xx) Xy) (@ (@ tptp.moref Xy) Xx))))) (let ((_let_8 (@ (@ tptp.moref tptp.z) tptp.u))) (let ((_let_9 (@ (@ tptp.moref tptp.x) tptp.y))) (let ((_let_10 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac) (Xu tptp.frac)) (or (not (ho_4 (ho_3 k_2 Xx) Xy)) (not (ho_4 (ho_3 k_6 Xx) Xz)) (not (ho_4 (ho_3 k_6 Xy) Xu)) (ho_4 (ho_3 k_2 Xz) Xu))))) (let ((_let_11 (ho_9 (ho_8 k_7 tptp.y) tptp.u))) (let ((_let_12 (ho_8 k_7 tptp.x))) (let ((_let_13 (ho_9 _let_12 tptp.z))) (let ((_let_14 (ho_4 (ho_3 k_2 _let_13) _let_11))) (let ((_let_15 (ho_8 k_7 tptp.u))) (let ((_let_16 (ho_9 _let_15 tptp.y))) (let ((_let_17 (ho_4 (ho_3 k_6 _let_16) _let_11))) (let ((_let_18 (not _let_17))) (let ((_let_19 (ho_9 (ho_8 k_7 tptp.z) tptp.x))) (let ((_let_20 (ho_4 (ho_3 k_6 _let_19) _let_13))) (let ((_let_21 (not _let_20))) (let ((_let_22 (ho_3 k_2 _let_19))) (let ((_let_23 (ho_4 _let_22 _let_16))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_21 _let_18 _let_14))) (let ((_let_26 (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) (Xu tptp.frac)) (or (not (@ (@ tptp.moref Xx) Xy)) (not (@ (@ tptp.eq Xx) Xz)) (not (@ (@ tptp.eq Xy) Xu)) (@ (@ tptp.moref Xz) Xu))) _let_10))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (ho_3 k_5 _let_16))) (let ((_let_29 (ho_4 _let_28 _let_19))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_23))) (let ((_let_32 (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (not (ho_4 (ho_3 k_5 Xx) Xy)) (ho_4 (ho_3 k_2 Xy) Xx))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_7)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (not (@ (@ tptp.lessf Xx) Xy)) (@ (@ tptp.moref Xy) Xx))) _let_32))))))) (let ((_let_34 (ho_9 _let_15 tptp.x))) (let ((_let_35 (ho_4 (ho_3 k_5 _let_34) _let_19))) (let ((_let_36 (not _let_35))) (let ((_let_37 (ho_4 _let_28 _let_34))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_29))) (let ((_let_40 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (let ((_let_1 (ho_3 k_5 Xx))) (or (not (ho_4 _let_1 Xy)) (not (ho_4 (ho_3 k_5 Xy) Xz)) (ho_4 _let_1 Xz)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (let ((_let_1 (@ tptp.lessf Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ tptp.lessf Xy) Xz)) (@ _let_1 Xz)))) _let_40))))))) (let ((_let_42 (ho_4 _let_22 _let_34))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_35))) (let ((_let_45 (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (not (ho_4 (ho_3 k_2 Xx) Xy)) (ho_4 (ho_3 k_5 Xy) Xx))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_5)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.frac) (Xy tptp.frac)) (or (not (@ (@ tptp.moref Xx) Xy)) (@ (@ tptp.lessf Xy) Xx))) _let_45))))))) (let ((_let_47 (_let_45))) (let ((_let_48 (ho_3 k_2 Xx))) (let ((_let_49 (ho_4 (ho_3 k_2 tptp.z) tptp.u))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_42))) (let ((_let_52 (forall ((Xx tptp.frac) (Xy tptp.frac) (Xz tptp.frac)) (or (not (ho_4 (ho_3 k_2 Xx) Xy)) (ho_4 (ho_3 k_2 (ho_9 (ho_8 k_7 Xx) Xz)) (ho_9 (ho_8 k_7 Xy) Xz)))))) (let ((_let_53 (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.moref Xx) Xy)) (@ (@ tptp.moref (@ (@ tptp.pf Xx) Xz)) (@ (@ tptp.pf Xy) Xz)))) _let_52))))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((ho_8 k_7 Xx) (ho_9 (ho_8 k_7 Xy) Xz)))) (let ((_let_56 (ho_4 (ho_3 k_2 _let_34) _let_16))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_37))) (let ((_let_59 (ho_4 (ho_3 k_6 _let_11) _let_16))) (let ((_let_60 (not _let_59))) (let ((_let_61 (ho_9 _let_12 tptp.u))) (let ((_let_62 (ho_4 (ho_3 k_6 _let_61) _let_34))) (let ((_let_63 (not _let_62))) (let ((_let_64 (ho_4 (ho_3 k_2 _let_61) _let_11))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_60 _let_56))) (let ((_let_67 (_let_10))) (let ((_let_68 (forall ((Xx tptp.frac) (Xy tptp.frac)) (ho_4 (ho_3 k_6 (ho_9 (ho_8 k_7 Xx) Xy)) (ho_9 (ho_8 k_7 Xy) Xx))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (PREPROCESS :args ((= _let_2 _let_68)))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((ho_9 (ho_8 k_7 Xx) Xy)))) (let ((_let_72 (ho_4 (ho_3 k_2 tptp.x) tptp.y))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_64))) (let ((_let_75 (forall ((u |u_(-> tptp.frac Bool)|) (e Bool) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac Bool)|)) (not (forall ((ii tptp.frac)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_76 (forall ((x |u_(-> tptp.frac Bool)|) (y |u_(-> tptp.frac Bool)|)) (or (not (forall ((z tptp.frac)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_77 (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_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_78 (forall ((x |u_(-> tptp.frac tptp.frac Bool)|) (y |u_(-> tptp.frac tptp.frac Bool)|)) (or (not (forall ((z tptp.frac)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_79 (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_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_80 (forall ((x |u_(-> tptp.frac tptp.frac)|) (y |u_(-> tptp.frac tptp.frac)|)) (or (not (forall ((z tptp.frac)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_81 (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_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_82 (forall ((x |u_(-> tptp.frac tptp.frac tptp.frac)|) (y |u_(-> tptp.frac tptp.frac tptp.frac)|)) (or (not (forall ((z tptp.frac)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_83 ((ho_9 (ho_8 k_7 Xy) Xx)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_19 _let_16 _let_13 _let_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_14 _let_18 _let_21 _let_24 _let_27))) (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 (not _let_14))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.u tptp.y QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_70)) _let_69 :args (_let_17 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.z tptp.x QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_70)) _let_69 :args (_let_20 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_23 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_29 _let_38 _let_36 (not _let_39)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_37 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_60 _let_65 _let_63 _let_56 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.y tptp.u QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_59 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_64 (not _let_74)))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_9)) (PREPROCESS :args ((= _let_9 _let_72)))) (PREPROCESS :args ((and _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75)))) :args ((and _let_72 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75))) :args (0)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.x tptp.y tptp.u QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_74 false _let_52)) :args (_let_64 false _let_72 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.x tptp.u QUANTIFIERS_INST_E_MATCHING _let_71)) :args _let_70)) _let_69 :args (_let_62 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_61 _let_11 _let_34 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_67)) _let_26 :args (_let_66 false _let_10)) :args (_let_56 false _let_59 false _let_64 false _let_62 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_34 _let_16 QUANTIFIERS_INST_E_MATCHING (_let_48 (ho_3 k_5 Xy)))) :args _let_47)) _let_46 :args (_let_58 false _let_45)) :args (_let_37 false _let_56 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_35 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_42 (not _let_51)))) (EQ_RESOLVE (ASSUME :args (_let_8)) (PREPROCESS :args ((= _let_8 _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.z tptp.u tptp.x QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_42 false _let_49 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_19 _let_34 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 _let_48 Xy) false))))) :args _let_47)) _let_46 :args (_let_44 false _let_45)) :args (_let_35 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_16 _let_34 _let_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_29 false _let_37 false _let_35 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_16 _let_19 QUANTIFIERS_INST_E_MATCHING ((ho_3 k_5 Xx) (ho_3 k_2 Xy)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_23 false _let_29 false _let_31)) :args (_let_27 true _let_14 false _let_17 false _let_20 false _let_23)) _let_26 :args (false true _let_25 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.71 )
% 0.19/0.71 % SZS output end Proof for NUM760^1
% 0.19/0.71 % cvc5---1.0.5 exiting
% 0.19/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------