TSTP Solution File: NUM741^1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM741^1 : TPTP v8.1.2. Released v3.7.0.
% 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 10:47:25 EDT 2023
% Result : Theorem 9.81s 10.06s
% Output : Proof 9.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM741^1 : TPTP v8.1.2. Released v3.7.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n005.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 14:20:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 % File : NUM741^1 : TPTP v8.1.2. Released v3.7.0.
% 0.20/0.49 % Domain : Number Theory
% 0.20/0.49 % Problem : Landau theorem 50
% 0.20/0.49 % Version : Especial.
% 0.20/0.49 % English : less (ts (num x) (den z)) (ts (num z) (den x))
% 0.20/0.49
% 0.20/0.49 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.20/0.49 % : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.20/0.49 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.49 % Source : [Bro09]
% 0.20/0.49 % Names : satz50 [Lan30]
% 0.20/0.49
% 0.20/0.49 % Status : Theorem
% 0.20/0.49 % : Without extensionality : Theorem
% 0.20/0.49 % Rating : 0.31 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.56 v7.3.0, 0.67 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.71 v6.0.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.80 v5.0.0, 1.00 v3.7.0
% 0.20/0.49 % Syntax : Number of formulae : 16 ( 5 unt; 9 typ; 0 def)
% 0.20/0.49 % Number of atoms : 10 ( 2 equ; 0 cnn)
% 0.20/0.49 % Maximal formula atoms : 3 ( 1 avg)
% 0.20/0.49 % Number of connectives : 63 ( 0 ~; 0 |; 0 &; 60 @)
% 0.20/0.49 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.49 % Maximal formula depth : 11 ( 6 avg)
% 0.20/0.49 % Number of types : 3 ( 2 usr)
% 0.20/0.49 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.20/0.49 % Number of symbols : 8 ( 7 usr; 3 con; 0-2 aty)
% 0.20/0.49 % Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% 0.20/0.49 % SPC : TH0_THM_EQU_NAR
% 0.20/0.49
% 0.20/0.49 % Comments :
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 thf(frac_type,type,
% 0.20/0.49 frac: $tType ).
% 0.20/0.49
% 0.20/0.49 thf(x,type,
% 0.20/0.49 x: frac ).
% 0.20/0.49
% 0.20/0.49 thf(y,type,
% 0.20/0.49 y: frac ).
% 0.20/0.49
% 0.20/0.49 thf(z,type,
% 0.20/0.49 z: frac ).
% 0.20/0.49
% 0.20/0.49 thf(nat_type,type,
% 0.20/0.49 nat: $tType ).
% 0.20/0.49
% 0.20/0.49 thf(less,type,
% 0.20/0.49 less: nat > nat > $o ).
% 0.20/0.49
% 0.20/0.49 thf(ts,type,
% 0.20/0.49 ts: nat > nat > nat ).
% 0.20/0.49
% 0.20/0.49 thf(num,type,
% 0.20/0.49 num: frac > nat ).
% 0.20/0.49
% 0.20/0.49 thf(den,type,
% 0.20/0.49 den: frac > nat ).
% 0.20/0.49
% 0.20/0.49 thf(l,axiom,
% 0.20/0.49 less @ ( ts @ ( num @ x ) @ ( den @ y ) ) @ ( ts @ ( num @ y ) @ ( den @ x ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(k,axiom,
% 0.20/0.49 less @ ( ts @ ( num @ y ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ y ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(satz33c,axiom,
% 0.20/0.49 ! [Xx: nat,Xy: nat,Xz: nat] :
% 0.20/0.49 ( ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xz ) )
% 0.20/0.49 => ( less @ Xx @ Xy ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(satz34a,axiom,
% 0.20/0.49 ! [Xx: nat,Xy: nat,Xz: nat,Xu: nat] :
% 0.20/0.49 ( ( less @ Xx @ Xy )
% 0.20/0.49 => ( ( less @ Xz @ Xu )
% 0.20/0.49 => ( less @ ( ts @ Xx @ Xz ) @ ( ts @ Xy @ Xu ) ) ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(satz29,axiom,
% 0.20/0.49 ! [Xx: nat,Xy: nat] :
% 0.20/0.49 ( ( ts @ Xx @ Xy )
% 0.20/0.49 = ( ts @ Xy @ Xx ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(satz31,axiom,
% 0.20/0.49 ! [Xx: nat,Xy: nat,Xz: nat] :
% 0.20/0.49 ( ( ts @ ( ts @ Xx @ Xy ) @ Xz )
% 0.20/0.49 = ( ts @ Xx @ ( ts @ Xy @ Xz ) ) ) ).
% 0.20/0.49
% 0.20/0.49 thf(satz50,conjecture,
% 0.20/0.49 less @ ( ts @ ( num @ x ) @ ( den @ z ) ) @ ( ts @ ( num @ z ) @ ( den @ x ) ) ).
% 0.20/0.49
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xOhXsMHbu3/cvc5---1.0.5_7957.p...
% 0.20/0.49 (declare-sort $$unsorted 0)
% 0.20/0.49 (declare-sort tptp.frac 0)
% 0.20/0.49 (declare-fun tptp.x () tptp.frac)
% 0.20/0.49 (declare-fun tptp.y () tptp.frac)
% 0.20/0.49 (declare-fun tptp.z () tptp.frac)
% 0.20/0.49 (declare-sort tptp.nat 0)
% 0.20/0.49 (declare-fun tptp.less (tptp.nat tptp.nat) Bool)
% 0.20/0.49 (declare-fun tptp.ts (tptp.nat tptp.nat) tptp.nat)
% 0.20/0.49 (declare-fun tptp.num (tptp.frac) tptp.nat)
% 0.20/0.49 (declare-fun tptp.den (tptp.frac) tptp.nat)
% 0.20/0.49 (assert (@ (@ tptp.less (@ (@ tptp.ts (@ tptp.num tptp.x)) (@ tptp.den tptp.y))) (@ (@ tptp.ts (@ tptp.num tptp.y)) (@ tptp.den tptp.x))))
% 0.20/0.49 (assert (@ (@ tptp.less (@ (@ tptp.ts (@ tptp.num tptp.y)) (@ tptp.den tptp.z))) (@ (@ tptp.ts (@ tptp.num tptp.z)) (@ tptp.den tptp.y))))
% 0.20/0.49 (assert (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (=> (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xz)) (@ (@ tptp.less Xx) Xy))))
% 0.20/0.49 (assert (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat) (Xu tptp.nat)) (=> (@ (@ tptp.less Xx) Xy) (=> (@ (@ tptp.less Xz) Xu) (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xu))))))
% 0.20/0.49 (assert (forall ((Xx tptp.nat) (Xy tptp.nat)) (= (@ (@ tptp.ts Xx) Xy) (@ (@ tptp.ts Xy) Xx))))
% 0.20/0.49 (assert (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (let ((_let_1 (@ tptp.ts Xx))) (= (@ (@ tptp.ts (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ tptp.ts Xy) Xz))))))
% 9.81/10.06 (assert (not (@ (@ tptp.less (@ (@ tptp.ts (@ tptp.num tptp.x)) (@ tptp.den tptp.z))) (@ (@ tptp.ts (@ tptp.num tptp.z)) (@ tptp.den tptp.x)))))
% 9.81/10.06 (set-info :filename cvc5---1.0.5_7957)
% 9.81/10.06 (check-sat-assuming ( true ))
% 9.81/10.06 ------- get file name : TPTP file name is NUM741^1
% 9.81/10.06 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7957.smt2...
% 9.81/10.06 --- Run --ho-elim --full-saturate-quant at 10...
% 9.81/10.06 % SZS status Theorem for NUM741^1
% 9.81/10.06 % SZS output start Proof for NUM741^1
% 9.81/10.06 (
% 9.81/10.06 (let ((_let_1 (@ tptp.den tptp.x))) (let ((_let_2 (@ tptp.ts (@ tptp.num tptp.z)))) (let ((_let_3 (@ tptp.den tptp.z))) (let ((_let_4 (@ tptp.ts (@ tptp.num tptp.x)))) (let ((_let_5 (not (@ (@ tptp.less (@ _let_4 _let_3)) (@ _let_2 _let_1))))) (let ((_let_6 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (let ((_let_1 (@ tptp.ts Xx))) (= (@ (@ tptp.ts (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ tptp.ts Xy) Xz))))))) (let ((_let_7 (forall ((Xx tptp.nat) (Xy tptp.nat)) (= (@ (@ tptp.ts Xx) Xy) (@ (@ tptp.ts Xy) Xx))))) (let ((_let_8 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat) (Xu tptp.nat)) (=> (@ (@ tptp.less Xx) Xy) (=> (@ (@ tptp.less Xz) Xu) (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xu))))))) (let ((_let_9 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (=> (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xz)) (@ (@ tptp.less Xx) Xy))))) (let ((_let_10 (@ tptp.den tptp.y))) (let ((_let_11 (@ tptp.ts (@ tptp.num tptp.y)))) (let ((_let_12 (@ (@ tptp.less (@ _let_11 _let_3)) (@ _let_2 _let_10)))) (let ((_let_13 (@ (@ tptp.less (@ _let_4 _let_10)) (@ _let_11 _let_1)))) (let ((_let_14 (ho_3 k_4 tptp.z))) (let ((_let_15 (ho_3 k_2 tptp.y))) (let ((_let_16 (ho_6 k_5 _let_15))) (let ((_let_17 (ho_7 _let_16 _let_14))) (let ((_let_18 (ho_6 k_5 _let_14))) (let ((_let_19 (ho_7 _let_18 _let_15))) (let ((_let_20 (= _let_19 _let_17))) (let ((_let_21 (ho_3 k_4 tptp.y))) (let ((_let_22 (ho_3 k_2 tptp.z))) (let ((_let_23 (ho_6 k_5 _let_22))) (let ((_let_24 (ho_7 _let_23 _let_21))) (let ((_let_25 (ho_6 k_5 _let_21))) (let ((_let_26 (ho_7 _let_25 _let_22))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (ho_3 k_2 tptp.x))) (let ((_let_29 (ho_6 k_5 _let_28))) (let ((_let_30 (ho_7 _let_29 _let_14))) (let ((_let_31 (ho_7 _let_18 _let_28))) (let ((_let_32 (= _let_31 _let_30))) (let ((_let_33 (ho_3 k_4 tptp.x))) (let ((_let_34 (ho_7 _let_23 _let_33))) (let ((_let_35 (ho_6 k_5 _let_33))) (let ((_let_36 (ho_7 _let_35 _let_22))) (let ((_let_37 (= _let_36 _let_34))) (let ((_let_38 (ho_7 _let_16 _let_21))) (let ((_let_39 (ho_7 _let_25 _let_15))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (ho_6 k_5 _let_19))) (let ((_let_42 (ho_7 _let_41 _let_21))) (let ((_let_43 (= _let_42 (ho_7 _let_25 _let_19)))) (let ((_let_44 (ho_7 _let_18 _let_38))) (let ((_let_45 (= (ho_7 (ho_6 k_5 _let_38) _let_14) _let_44))) (let ((_let_46 (= (ho_7 _let_25 _let_17) (ho_7 (ho_6 k_5 _let_39) _let_14)))) (let ((_let_47 (ho_7 (ho_6 k_5 _let_42) _let_28))) (let ((_let_48 (ho_7 _let_25 _let_28))) (let ((_let_49 (ho_7 _let_41 _let_48))) (let ((_let_50 (= _let_49 _let_47))) (let ((_let_51 (ho_7 _let_35 _let_15))) (let ((_let_52 (ho_6 k_5 _let_26))) (let ((_let_53 (ho_10 (ho_9 k_8 (ho_7 _let_52 _let_51)) _let_49))) (let ((_let_54 (= (ho_7 _let_25 _let_34) (ho_7 _let_52 _let_33)))) (let ((_let_55 (ho_6 k_5 _let_24))) (let ((_let_56 (= (ho_7 _let_55 _let_51) (ho_7 (ho_6 k_5 (ho_7 _let_55 _let_33)) _let_15)))) (let ((_let_57 (ho_6 k_5 _let_36))) (let ((_let_58 (= (ho_7 _let_25 _let_36) (ho_7 _let_57 _let_21)))) (let ((_let_59 (ho_6 k_5 _let_34))) (let ((_let_60 (= (ho_7 _let_59 _let_39) (ho_7 (ho_6 k_5 (ho_7 _let_59 _let_21)) _let_15)))) (let ((_let_61 (= _let_47 (ho_7 _let_29 _let_42)))) (let ((_let_62 (ho_10 (ho_9 k_8 (ho_7 _let_57 _let_38)) (ho_7 (ho_6 k_5 _let_31) _let_38)))) (let ((_let_63 (= (ho_7 _let_29 _let_44) (ho_7 (ho_6 k_5 _let_30) _let_38)))) (let ((_let_64 (forall ((Xx tptp.nat) (Xy tptp.nat)) (= (ho_7 (ho_6 k_5 Xy) Xx) (ho_7 (ho_6 k_5 Xx) Xy))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_7)) (PREPROCESS :args ((= _let_7 _let_64)))))) (let ((_let_66 (_let_64))) (let ((_let_67 (ho_6 k_5 Xy))) (let ((_let_68 ((ho_7 _let_67 Xx)))) (let ((_let_69 ((ho_6 k_5 Xx) _let_67))) (let ((_let_70 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (let ((_let_1 (ho_6 k_5 Xx))) (= (ho_7 _let_1 (ho_7 (ho_6 k_5 Xy) Xz)) (ho_7 (ho_6 k_5 (ho_7 _let_1 Xy)) Xz)))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_6)) (PREPROCESS :args ((= _let_6 _let_70)))))) (let ((_let_72 (_let_70))) (let ((_let_73 (ho_10 (ho_9 k_8 _let_51) _let_48))) (let ((_let_74 (not _let_73))) (let ((_let_75 (ho_10 (ho_9 k_8 _let_26) _let_19))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_74 _let_53))) (let ((_let_78 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat) (Xu tptp.nat)) (or (not (ho_10 (ho_9 k_8 Xx) Xy)) (not (ho_10 (ho_9 k_8 Xz) Xu)) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 Xx) Xz)) (ho_7 (ho_6 k_5 Xy) Xu)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_8)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat) (Xu tptp.nat)) (or (not (@ (@ tptp.less Xx) Xy)) (not (@ (@ tptp.less Xz) Xu)) (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xu)))) _let_78))))))) (let ((_let_80 (forall ((u |u_(-> tptp.frac tptp.nat)|) (e tptp.nat) (i tptp.frac)) (not (forall ((v |u_(-> tptp.frac tptp.nat)|)) (not (forall ((ii tptp.frac)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_81 (forall ((x |u_(-> tptp.frac tptp.nat)|) (y |u_(-> tptp.frac tptp.nat)|)) (or (not (forall ((z tptp.frac)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_82 (forall ((u |u_(-> tptp.nat tptp.nat)|) (e tptp.nat) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_83 (forall ((x |u_(-> tptp.nat tptp.nat)|) (y |u_(-> tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_84 (forall ((u |u_(-> tptp.nat tptp.nat tptp.nat)|) (e |u_(-> tptp.nat tptp.nat)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat tptp.nat)|)) (not (forall ((ii tptp.nat)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_85 (forall ((x |u_(-> tptp.nat tptp.nat tptp.nat)|) (y |u_(-> tptp.nat tptp.nat tptp.nat)|)) (or (not (forall ((z tptp.nat)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_86 (forall ((u |u_(-> tptp.nat Bool)|) (e Bool) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_87 (forall ((x |u_(-> tptp.nat Bool)|) (y |u_(-> tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_88 (forall ((u |u_(-> tptp.nat tptp.nat Bool)|) (e |u_(-> tptp.nat Bool)|) (i tptp.nat)) (not (forall ((v |u_(-> tptp.nat tptp.nat Bool)|)) (not (forall ((ii tptp.nat)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_89 (forall ((x |u_(-> tptp.nat tptp.nat Bool)|) (y |u_(-> tptp.nat tptp.nat Bool)|)) (or (not (forall ((z tptp.nat)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_90 (ho_10 (ho_9 k_8 _let_36) _let_31))) (let ((_let_91 (not _let_62))) (let ((_let_92 (or _let_91 _let_90))) (let ((_let_93 (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (or (not (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 Xx) Xz)) (ho_7 (ho_6 k_5 Xy) Xz))) (ho_10 (ho_9 k_8 Xx) Xy))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (forall ((Xx tptp.nat) (Xy tptp.nat) (Xz tptp.nat)) (or (not (@ (@ tptp.less (@ (@ tptp.ts Xx) Xz)) (@ (@ tptp.ts Xy) Xz))) (@ (@ tptp.less Xx) Xy))) _let_93))))))) (let ((_let_95 (ASSUME :args (_let_53)))) (let ((_let_96 (ASSUME :args (_let_50)))) (let ((_let_97 (ASSUME :args (_let_61)))) (let ((_let_98 (APPLY_UF ho_7))) (let ((_let_99 (ASSUME :args (_let_43)))) (let ((_let_100 (REFL :args (_let_29)))) (let ((_let_101 (ASSUME :args (_let_20)))) (let ((_let_102 (REFL :args (_let_25)))) (let ((_let_103 (ASSUME :args (_let_46)))) (let ((_let_104 (APPLY_UF ho_6))) (let ((_let_105 (ASSUME :args (_let_40)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (REFL :args (k_5)))) (let ((_let_108 (ASSUME :args (_let_45)))) (let ((_let_109 (ASSUME :args (_let_63)))) (let ((_let_110 (ASSUME :args (_let_32)))) (let ((_let_111 (ASSUME :args (_let_27)))) (let ((_let_112 (CONG _let_107 (SYMM _let_111) :args _let_104))) (let ((_let_113 (ASSUME :args (_let_56)))) (let ((_let_114 (ASSUME :args (_let_54)))) (let ((_let_115 (ASSUME :args (_let_37)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (ASSUME :args (_let_58)))) (let ((_let_118 (CONG _let_107 _let_116 :args _let_104))) (let ((_let_119 (ASSUME :args (_let_60)))) (let ((_let_120 (ASSUME :args (_let_91)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 _let_111 _let_113 _let_114 _let_115 _let_117 _let_119 _let_105 _let_96 _let_97 _let_99 _let_101 _let_103 _let_108 _let_109 _let_110 _let_120) :args (_let_20 _let_27 _let_32 _let_37 _let_40 _let_43 _let_45 _let_46 _let_50 _let_53 _let_54 _let_56 _let_58 _let_60 _let_61 _let_91 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_120)) (CONG (CONG (REFL :args (k_8)) (TRANS (CONG (SYMM _let_118) _let_106 :args 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((not (and _let_20 _let_27 _let_32 _let_37 _let_40 _let_43 _let_45 _let_46 _let_50 _let_53 _let_54 _let_56 _let_58 _let_60 _let_61 _let_91 _let_63)) SB_LITERAL))) (CONG (REFL :args ((not _let_20))) (REFL :args ((not _let_27))) (REFL :args ((not _let_32))) (REFL :args ((not _let_37))) (REFL :args ((not _let_40))) (REFL :args ((not _let_43))) (REFL :args ((not _let_45))) (REFL :args ((not _let_46))) (REFL :args ((not _let_50))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_56))) (REFL :args ((not _let_58))) (REFL :args ((not _let_60))) (REFL :args ((not _let_61))) (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_62))) (REFL :args ((not _let_63))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_28 _let_14 _let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_71 :args (_let_63 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_90 _let_91 (not _let_92)))) (EQ_RESOLVE (ASSUME :args (_let_5)) (PREPROCESS :args ((= _let_5 (not _let_90))))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_36 _let_31 _let_38 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_91 true _let_90 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_28 _let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_66)) _let_65 :args (_let_61 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_34 _let_21 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_71 :args (_let_60 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_36 _let_21 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_58 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_24 _let_33 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_71 :args (_let_56 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_21 _let_22 _let_33 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_71 :args (_let_54 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_74 _let_76 _let_53 (not _let_77)))) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_13)) (PREPROCESS :args ((= _let_13 _let_73)))) (PREPROCESS :args ((and _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80)))) :args ((and _let_73 _let_89 _let_88 _let_87 _let_86 _let_85 _let_84 _let_83 _let_82 _let_81 _let_80))) :args (0)) (EQ_RESOLVE (ASSUME :args (_let_12)) (PREPROCESS :args ((= _let_12 _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_26 _let_19 _let_51 _let_48 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_53 false _let_73 false _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_19 _let_21 _let_28 QUANTIFIERS_INST_E_MATCHING ((ho_7 (ho_6 k_5 Xx) (ho_7 (ho_6 k_5 Xy) Xz))))) :args _let_72)) _let_71 :args (_let_50 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (_let_21 _let_15 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_72)) _let_71 :args (_let_46 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_14 _let_38 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_65 :args (_let_45 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_21 _let_19 QUANTIFIERS_INST_E_MATCHING _let_69)) :args _let_66)) _let_65 :args (_let_43 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_15 _let_21 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_40 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_22 _let_33 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_37 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_28 _let_14 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_32 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_22 _let_21 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_27 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_15 _let_14 QUANTIFIERS_INST_E_MATCHING _let_68)) :args _let_66)) _let_65 :args (_let_20 false _let_64)) :args (false false _let_63 true _let_62 false _let_61 false _let_60 false _let_58 false _let_56 false _let_54 false _let_53 false _let_50 false _let_46 false _let_45 false _let_43 false _let_40 false _let_37 false _let_32 false _let_27 false _let_20)) :args (_let_13 _let_12 _let_9 _let_8 _let_7 _let_6 _let_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 9.81/10.07 )
% 9.81/10.07 % SZS output end Proof for NUM741^1
% 9.81/10.07 % cvc5---1.0.5 exiting
% 9.81/10.07 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------