TSTP Solution File: SEV003^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV003^5 : 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 19:21:16 EDT 2023
% Result : Theorem 1.37s 1.58s
% Output : Proof 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV003^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 03:45:51 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 % File : SEV003^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.49 % Domain : Set Theory (Relations)
% 0.21/0.49 % Problem : TPS problem from LATTICES-THMS
% 0.21/0.49 % Version : Especial.
% 0.21/0.49 % English :
% 0.21/0.49
% 0.21/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.49 % Source : [Bro09]
% 0.21/0.49 % Names : tps_1225 [Bro09]
% 0.21/0.49
% 0.21/0.49 % Status : Theorem
% 0.21/0.49 % Rating : 0.77 v8.1.0, 0.82 v7.5.0, 0.86 v7.4.0, 0.78 v7.2.0, 0.75 v7.0.0, 0.71 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 1.00 v4.0.0
% 0.21/0.49 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.21/0.49 % Number of atoms : 39 ( 39 equ; 0 cnn)
% 0.21/0.49 % Maximal formula atoms : 39 ( 39 avg)
% 0.21/0.49 % Number of connectives : 137 ( 11 ~; 0 |; 36 &; 88 @)
% 0.21/0.49 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.21/0.49 % Maximal formula depth : 39 ( 39 avg)
% 0.21/0.49 % Number of types : 1 ( 1 usr)
% 0.21/0.49 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.21/0.49 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.21/0.49 % Number of variables : 26 ( 0 ^; 21 !; 5 ?; 26 :)
% 0.21/0.49 % SPC : TH0_THM_EQU_NAR
% 0.21/0.49
% 0.21/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 thf(a_type,type,
% 0.21/0.49 a: $tType ).
% 0.21/0.49
% 0.21/0.49 thf(cPENTAGON_THM2C_pme,conjecture,
% 0.21/0.49 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.21/0.49 ( ( ! [Xx: a] :
% 0.21/0.49 ( ( JOIN @ Xx @ Xx )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ! [Xx: a] :
% 0.21/0.49 ( ( MEET @ Xx @ Xx )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.49 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.21/0.49 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.21/0.49 & ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.49 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.21/0.49 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( JOIN @ Xx @ Xy )
% 0.21/0.49 = ( JOIN @ Xy @ Xx ) )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( MEET @ Xx @ Xy )
% 0.21/0.49 = ( MEET @ Xy @ Xx ) )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.21/0.49 = Xy ) )
% 0.21/0.49 => ( ~ ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.49 ( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
% 0.21/0.49 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
% 0.21/0.49 => ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
% 0.21/0.49 ( ( Xa != Xb )
% 0.21/0.49 & ( Xa != Xc )
% 0.21/0.49 & ( Xa != Xx )
% 0.21/0.49 & ( Xa != Xy )
% 0.21/0.49 & ( Xb != Xc )
% 0.21/0.49 & ( Xb != Xx )
% 0.21/0.49 & ( Xb != Xy )
% 0.21/0.49 & ( Xc != Xx )
% 0.21/0.49 & ( Xc != Xy )
% 0.21/0.49 & ( Xx != Xy )
% 0.21/0.49 & ( ( MEET @ Xx @ Xy )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xx @ Xy )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xx @ Xa )
% 0.21/0.49 = Xa )
% 0.21/0.49 & ( ( JOIN @ Xx @ Xa )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xx @ Xb )
% 0.21/0.49 = Xb )
% 0.21/0.49 & ( ( JOIN @ Xx @ Xb )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xx @ Xc )
% 0.21/0.49 = Xc )
% 0.21/0.49 & ( ( JOIN @ Xx @ Xc )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xa @ Xb )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xa @ Xb )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xa @ Xc )
% 0.21/0.49 = Xa )
% 0.21/0.49 & ( ( JOIN @ Xa @ Xc )
% 0.21/0.49 = Xc )
% 0.21/0.49 & ( ( MEET @ Xa @ Xy )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xa @ Xy )
% 0.21/0.49 = Xa )
% 0.21/0.49 & ( ( MEET @ Xb @ Xc )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xb @ Xc )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ( ( MEET @ Xb @ Xy )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xb @ Xy )
% 0.21/0.49 = Xb )
% 0.21/0.49 & ( ( MEET @ Xc @ Xy )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ( ( JOIN @ Xc @ Xy )
% 1.37/1.58 = Xc ) ) ) ) ).
% 1.37/1.58
% 1.37/1.58 %------------------------------------------------------------------------------
% 1.37/1.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ng1iifJHTe/cvc5---1.0.5_13980.p...
% 1.37/1.58 (declare-sort $$unsorted 0)
% 1.37/1.58 (declare-sort tptp.a 0)
% 1.37/1.58 (assert (not (forall ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.a)) (= (@ (@ JOIN Xx) Xx) Xx)) (forall ((Xx tptp.a)) (= (@ (@ MEET Xx) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy) Xy)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy) Xy))) (=> (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (let ((_let_2 (@ _let_1 Xz))) (= (@ _let_1 (@ (@ MEET Xy) _let_2)) (@ (@ MEET (@ _let_1 Xy)) _let_2)))))) (exists ((Xx tptp.a) (Xy tptp.a) (Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (let ((_let_1 (@ JOIN Xb))) (let ((_let_2 (@ MEET Xb))) (let ((_let_3 (@ JOIN Xa))) (let ((_let_4 (@ MEET Xa))) (let ((_let_5 (@ JOIN Xx))) (let ((_let_6 (@ MEET Xx))) (and (not (= Xa Xb)) (not (= Xa Xc)) (not (= Xa Xx)) (not (= Xa Xy)) (not (= Xb Xc)) (not (= Xb Xx)) (not (= Xb Xy)) (not (= Xc Xx)) (not (= Xc Xy)) (not (= Xx Xy)) (= (@ _let_6 Xy) Xy) (= (@ _let_5 Xy) Xx) (= (@ _let_6 Xa) Xa) (= (@ _let_5 Xa) Xx) (= (@ _let_6 Xb) Xb) (= (@ _let_5 Xb) Xx) (= (@ _let_6 Xc) Xc) (= (@ _let_5 Xc) Xx) (= (@ _let_4 Xb) Xy) (= (@ _let_3 Xb) Xx) (= (@ _let_4 Xc) Xa) (= (@ _let_3 Xc) Xc) (= (@ _let_4 Xy) Xy) (= (@ _let_3 Xy) Xa) (= (@ _let_2 Xc) Xy) (= (@ _let_1 Xc) Xx) (= (@ _let_2 Xy) Xy) (= (@ _let_1 Xy) Xb) (= (@ (@ MEET Xc) Xy) Xy) (= (@ (@ JOIN Xc) Xy) Xc))))))))))))))
% 1.37/1.58 (set-info :filename cvc5---1.0.5_13980)
% 1.37/1.58 (check-sat-assuming ( true ))
% 1.37/1.58 ------- get file name : TPTP file name is SEV003^5
% 1.37/1.58 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13980.smt2...
% 1.37/1.58 --- Run --ho-elim --full-saturate-quant at 10...
% 1.37/1.58 % SZS status Theorem for SEV003^5
% 1.37/1.58 % SZS output start Proof for SEV003^5
% 1.37/1.58 (
% 1.37/1.58 (let ((_let_1 (not (forall ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.a)) (= (@ (@ JOIN Xx) Xx) Xx)) (forall ((Xx tptp.a)) (= (@ (@ MEET Xx) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy) Xy)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy) Xy))) (=> (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (let ((_let_2 (@ _let_1 Xz))) (= (@ _let_1 (@ (@ MEET Xy) _let_2)) (@ (@ MEET (@ _let_1 Xy)) _let_2)))))) (exists ((Xx tptp.a) (Xy tptp.a) (Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (let ((_let_1 (@ JOIN Xb))) (let ((_let_2 (@ MEET Xb))) (let ((_let_3 (@ JOIN Xa))) (let ((_let_4 (@ MEET Xa))) (let ((_let_5 (@ JOIN Xx))) (let ((_let_6 (@ MEET Xx))) (and (not (= Xa Xb)) (not (= Xa Xc)) (not (= Xa Xx)) (not (= Xa Xy)) (not (= Xb Xc)) (not (= Xb Xx)) (not (= Xb Xy)) (not (= Xc Xx)) (not (= Xc Xy)) (not (= Xx Xy)) (= (@ _let_6 Xy) Xy) (= (@ _let_5 Xy) Xx) (= (@ _let_6 Xa) Xa) (= (@ _let_5 Xa) Xx) (= (@ _let_6 Xb) Xb) (= (@ _let_5 Xb) Xx) (= (@ _let_6 Xc) Xc) (= (@ _let_5 Xc) Xx) (= (@ _let_4 Xb) Xy) (= (@ _let_3 Xb) Xx) (= (@ _let_4 Xc) Xa) (= (@ _let_3 Xc) Xc) (= (@ _let_4 Xy) Xy) (= (@ _let_3 Xy) Xa) (= (@ _let_2 Xc) Xy) (= (@ _let_1 Xc) Xx) (= (@ _let_2 Xy) Xy) (= (@ _let_1 Xy) Xb) (= (@ (@ MEET Xc) Xy) Xy) (= (@ (@ JOIN Xc) Xy) Xc))))))))))))))) (let ((_let_2 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_3 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_4 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_3))) (let ((_let_5 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (ho_3 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_7 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (ho_3 _let_9 _let_7))) (let ((_let_11 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (ho_3 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (ho_3 _let_2 _let_10))) (let ((_let_14 (= _let_13 _let_12))) (let ((_let_15 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_16 (ho_3 _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_17 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_20 (ho_3 _let_19 _let_17))) (let ((_let_21 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_17))) (let ((_let_22 (ho_3 _let_21 _let_7))) (let ((_let_23 (= _let_22 _let_20))) (let ((_let_24 (ho_3 _let_11 _let_7))) (let ((_let_25 (= _let_7 _let_24))) (let ((_let_26 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_13))) (let ((_let_27 (ho_3 _let_26 _let_10))) (let ((_let_28 (= _let_10 _let_27))) (let ((_let_29 (ho_3 _let_2 _let_7))) (let ((_let_30 (= _let_29 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_31 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_32 (= (ho_3 _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (ho_3 _let_2 _let_6)))) (let ((_let_33 (ho_3 _let_31 _let_10))) (let ((_let_34 (= _let_24 _let_33))) (let ((_let_35 (ho_3 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_36 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_37 (ho_3 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (= _let_37 _let_35))) (let ((_let_39 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_40 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_41 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_42 (= (ho_3 _let_31 _let_12) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_33) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_43 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22))) (let ((_let_44 (ho_3 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_45 (ho_3 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_46 (= (ho_3 _let_21 _let_45) _let_44))) (let ((_let_47 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_48 (ho_3 _let_47 _let_13))) (let ((_let_49 (= _let_27 _let_48))) (let ((_let_50 (ho_3 _let_36 _let_22))) (let ((_let_51 (= _let_44 _let_50))) (let ((_let_52 (= _let_22 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_50) _let_22)))) (let ((_let_53 (ho_3 _let_9 _let_13))) (let ((_let_54 (ho_3 _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_55 (= _let_54 _let_53))) (let ((_let_56 (ho_3 _let_19 _let_13))) (let ((_let_57 (= _let_56 (ho_3 _let_26 _let_7)))) (let ((_let_58 (= _let_48 (ho_3 _let_9 _let_56)))) (let ((_let_59 (= _let_13 _let_54))) (let ((_let_60 (= _let_13 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 _let_31 _let_13)) _let_13)))) (let ((_let_61 (= _let_10 _let_20))) (let ((_let_62 (forall ((Xx tptp.a)) (= Xx (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xx))))) (let ((_let_63 (forall ((Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xa))) (let ((_let_2 (ho_3 _let_1 Xb))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xb))) (let ((_let_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xb))) (let ((_let_5 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xa))) (let ((_let_6 (ho_3 _let_5 Xb))) (let ((_let_7 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6))) (let ((_let_8 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (or (= Xa Xb) (= Xa Xc) (= Xa _let_6) (= Xa _let_2) (= Xb Xc) (= Xb _let_6) (= Xb _let_2) (= Xc _let_6) (= Xc _let_2) (= _let_6 _let_2) (not (= _let_2 (ho_3 _let_8 _let_2))) (not (= _let_6 (ho_3 _let_7 _let_2))) (not (= Xa (ho_3 _let_8 Xa))) (not (= _let_6 (ho_3 _let_7 Xa))) (not (= Xb (ho_3 _let_8 Xb))) (not (= _let_6 (ho_3 _let_7 Xb))) (not (= Xc (ho_3 _let_8 Xc))) (not (= _let_6 (ho_3 _let_7 Xc))) (not (= Xa (ho_3 _let_1 Xc))) (not (= Xc (ho_3 _let_5 Xc))) (not (= _let_2 (ho_3 _let_1 _let_2))) (not (= Xa (ho_3 _let_5 _let_2))) (not (= _let_2 (ho_3 _let_4 Xc))) (not (= _let_6 (ho_3 _let_3 Xc))) (not (= _let_2 (ho_3 _let_4 _let_2))) (not (= Xb (ho_3 _let_3 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_let_110)) _let_109 :args (_let_40 false _let_68)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_114 :args (_let_41 false _let_66)))) (let ((_let_131 ((ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy)) Xz)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_7 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_120)) _let_119 :args (_let_42 false _let_76)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_81 3)) (CONG _let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_90)) :args ((or _let_74 _let_81))) _let_91 :args (_let_74 true _let_81)))) (let ((_let_134 (_let_74))) (let ((_let_135 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx))) (let ((_let_136 ((ho_3 _let_135 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy) Xz))))) (let ((_let_137 (ASSUME :args _let_134))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_17 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_133 :args (_let_46 false _let_74)))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_10 _let_13 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_105)) _let_104 :args (_let_49 false _let_70)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_105)) _let_104 :args (_let_51 false _let_70)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) _let_109 :args (_let_52 false _let_68)))) (let ((_let_142 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_142) :args _let_105)) _let_104 :args (_let_55 false _let_70)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_13 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_105)) _let_104 :args (_let_57 false _let_70)))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_7 _let_13 QUANTIFIERS_INST_CBQI_PROP)) :args _let_134))) _let_133 :args (_let_58 false _let_74)))) (let ((_let_146 (ho_3 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_147 (= _let_10 _let_146))) (let ((_let_148 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_16))) (let ((_let_149 (= (ho_3 _let_15 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((_let_222 (ASSUME :args (_let_179)))) (let ((_let_223 (ASSUME :args (_let_181)))) (let ((_let_224 (ASSUME :args (_let_184)))) (let ((_let_225 (ASSUME :args (_let_147)))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_228 (ASSUME :args (_let_177)))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (CONG _let_219 _let_229 :args _let_199))) (let ((_let_231 (ASSUME :args (_let_182)))) (let ((_let_232 (ASSUME :args (_let_23)))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_196)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_200 _let_203 _let_205 _let_207 _let_212 _let_215 _let_222 _let_223 _let_224 _let_225 _let_228 _let_231 _let_232) (SCOPE (TRANS _let_234 (CONG (SYMM _let_230) (TRANS (CONG (SYMM _let_202) _let_227 :args _let_197) (SYMM _let_231)) :args _let_197) (CONG _let_230 _let_227 :args _let_197) 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((_let_637 (CONG _let_270 (TRANS _let_595 _let_636 _let_601) :args _let_197))) (let ((_let_638 (CONG _let_270 _let_594 :args _let_197))) (let ((_let_639 (TRANS _let_586 _let_589 _let_592 _let_638 _let_637 _let_277))) (let ((_let_640 (ASSUME :args (_let_627)))) (let ((_let_641 (ASSUME :args (_let_52)))) (let ((_let_642 (SYMM _let_641))) (let ((_let_643 (REFL :args (_let_22)))) (let ((_let_644 (ASSUME :args (_let_51)))) (let ((_let_645 (SYMM (SYMM _let_644)))) (let ((_let_646 (SYMM _let_267))) (let ((_let_647 (CONG (CONG _let_201 (TRANS _let_319 _let_317 (CONG _let_315 (TRANS _let_646 (CONG (CONG _let_219 _let_208 :args _let_199) _let_268 :args _let_197)) :args _let_197) _let_314 _let_645) :args _let_199) _let_643 :args _let_197))) (let ((_let_648 (ASSUME :args (_let_630)))) (let ((_let_649 (SYMM _let_281))) (let ((_let_650 (SYMM _let_284))) (let ((_let_651 (SYMM _let_650))) (let ((_let_652 (CONG (CONG _let_201 (TRANS _let_285 (CONG _let_292 _let_217 :args _let_197) _let_291 _let_288) 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_let_337 _let_55 _let_343))) (let ((_let_729 (and _let_4 _let_8 _let_14 _let_147 _let_25 _let_28 _let_30 _let_32 _let_34 _let_42 _let_153 _let_157 _let_49 _let_55 _let_57 _let_58 _let_60))) (let ((_let_730 (= (ho_3 _let_43 _let_53) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_13)))) (let ((_let_731 (and _let_4 _let_8 _let_14 _let_147 _let_23 _let_25 _let_329 _let_30 _let_32 _let_34 _let_42 _let_333 _let_55 _let_730 _let_57 _let_58 _let_60))) (let ((_let_732 (ASSUME :args (_let_730)))) (let ((_let_733 (_let_63))) (let ((_let_734 (= (ho_3 _let_15 _let_629) (ho_3 _let_148 _let_22)))) (let ((_let_735 (and _let_8 _let_18 _let_147 _let_23 _let_39 _let_41 _let_46 _let_157 _let_715 _let_160 _let_714 _let_51 _let_52 _let_734))) (let ((_let_736 (ASSUME :args (_let_734)))) (let ((_let_737 (and _let_4 _let_8 _let_14 _let_18 _let_147 _let_25 _let_30 _let_32 _let_34 _let_149 _let_42 _let_153 _let_157 _let_160 _let_164 _let_628 _let_166 _let_168 _let_57 _let_169 _let_170 _let_60))) (let ((_let_738 (and _let_4 _let_8 _let_14 _let_18 _let_147 _let_25 _let_30 _let_32 _let_34 _let_149 _let_42 _let_153 _let_157 _let_160 _let_164 _let_166 _let_168 _let_57 _let_169 _let_170 _let_60))) (let ((_let_739 (CONG _let_219 _let_625 :args _let_199))) (let ((_let_740 (not _let_391))) (let ((_let_741 (= _let_17 _let_22))) (let ((_let_742 (not _let_492))) (let ((_let_743 (ho_3 _let_349 _let_7))) (let ((_let_744 (= _let_7 _let_743))) (let ((_let_745 (= _let_743 (ho_3 _let_31 _let_22)))) (let ((_let_746 (not _let_741))) (let ((_let_747 (and _let_8 _let_744 _let_741 _let_745))) (let ((_let_748 (ASSUME :args (_let_741)))) (let ((_let_749 (ASSUME :args (_let_745)))) (let ((_let_750 (ASSUME :args (_let_744)))) (let ((_let_751 (and _let_23 _let_746))) (let ((_let_752 (ASSUME :args (_let_746)))) (let ((_let_753 (and _let_147 _let_23 _let_157 _let_160 _let_391))) (let ((_let_754 (ASSUME :args (_let_391)))) (let ((_let_755 (and _let_4 _let_8 _let_14 _let_18 _let_23 _let_25 _let_28 _let_30 _let_32 _let_34 _let_38 _let_39 _let_40 _let_41 _let_42 _let_46 _let_49 _let_61 _let_51 _let_52 _let_55 _let_57 _let_58 _let_60))) (let ((_let_756 (ASSUME :args (_let_61)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_755)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_276 _let_600 _let_321 _let_556 _let_508 _let_506 _let_205 _let_207 _let_212 _let_215 _let_594 _let_591 _let_588 _let_272 _let_756 _let_232 _let_641 _let_644 _let_313 _let_266 _let_285 _let_318 _let_502 _let_264) (SCOPE (TRANS (CONG _let_504 (TRANS _let_756 _let_233) :args _let_197) (CONG _let_503 _let_643 :args _let_197) _let_647 _let_642 _let_234 (SYMM _let_756) _let_586 _let_589 _let_592 _let_638 _let_637 _let_277) :args (_let_55 _let_60 _let_14 _let_42 _let_34 _let_25 _let_32 _let_8 _let_30 _let_4 _let_57 _let_58 _let_49 _let_28 _let_61 _let_23 _let_52 _let_51 _let_46 _let_41 _let_18 _let_39 _let_40 _let_38))) :args (_let_4 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_let_437 _let_439 _let_418 _let_272 _let_588 _let_591 _let_594 _let_215 _let_212 _let_207 _let_205 _let_506 _let_508 _let_556 _let_321 _let_600 _let_276) (SCOPE (TRANS _let_585 _let_603 _let_596 _let_593 _let_590 _let_587 _let_441 _let_438) :args (_let_341 _let_339 _let_329 _let_28 _let_49 _let_58 _let_57 _let_4 _let_30 _let_8 _let_32 _let_25 _let_34 _let_42 _let_14 _let_60 _let_55))) :args (_let_4 _let_8 _let_14 _let_25 _let_28 _let_329 _let_30 _let_32 _let_34 _let_339 _let_42 _let_341 _let_49 _let_55 _let_57 _let_58 _let_60))) :args (true _let_727)) :args ((or _let_403 _let_194 _let_193 _let_262 _let_480 _let_260 _let_190 _let_189 _let_477 _let_428 _let_552 _let_427 _let_570 _let_366 _let_250 _let_569 _let_568 _let_567))) _let_398 _let_96 _let_101 _let_102 _let_113 _let_118 _let_122 _let_123 _let_124 _let_423 _let_132 _let_424 _let_139 _let_143 _let_144 _let_145 _let_325 :args (_let_366 false _let_329 false _let_4 false _let_8 false _let_14 false _let_25 false _let_28 false _let_30 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(MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_718)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_225 _let_298 _let_719 _let_232 _let_723) (SCOPE (TRANS _let_304 _let_677 _let_724 _let_722 _let_720 (CONG _let_696 _let_643 :args _let_197)) :args (_let_160 _let_147 _let_157 _let_714 _let_23 _let_715))) :args (_let_147 _let_23 _let_157 _let_715 _let_160 _let_714))) :args (true _let_718)) _let_172 _let_108 _let_237 _let_717 _let_238 _let_716 :args (_let_361 false _let_147 false _let_23 false _let_157 false _let_715 false _let_160 false _let_714)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_713)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_225 _let_298 _let_407 _let_405) (SCOPE (TRANS (CONG (CONG _let_219 _let_493 :args _let_199) _let_275 :args _let_197) _let_408 (CONG _let_685 _let_643 :args _let_197)) :args (_let_160 _let_147 _let_157 _let_331 _let_327))) :args (_let_327 _let_147 _let_157 _let_160 _let_331))) :args (true 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:args (_let_160 _let_147 _let_157 _let_168 _let_18 _let_149 _let_4 _let_166 _let_153))) :args (_let_4 _let_18 _let_147 _let_149 _let_153 _let_157 _let_160 _let_166 _let_168))) :args (true _let_705)) :args ((or _let_194 _let_261 _let_192 _let_258 _let_255 _let_253 _let_252 _let_357 _let_249 _let_248))) _let_96 _let_103 _let_172 _let_173 _let_236 _let_237 _let_238 _let_241 _let_242 :args (_let_357 false _let_4 false _let_18 false _let_147 false _let_149 false _let_153 false _let_157 false _let_160 false _let_166 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_704)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_225 _let_298 _let_295 _let_293 _let_285 _let_215 _let_289 _let_283 _let_280) (SCOPE (TRANS _let_649 (CONG (TRANS (CONG _let_219 _let_698 :args _let_199) _let_685) _let_282 :args _let_197)) :args (_let_160 _let_147 _let_157 _let_153 _let_166 _let_18 _let_4 _let_149 _let_168 _let_170))) :args (_let_4 _let_18 _let_147 _let_149 _let_153 _let_157 _let_160 _let_166 _let_168 _let_170))) :args (true _let_704)) :args ((or _let_194 _let_261 _let_192 _let_258 _let_255 _let_253 _let_252 _let_356 _let_249 _let_248 _let_246))) _let_96 _let_103 _let_172 _let_173 _let_236 _let_237 _let_238 _let_241 _let_242 _let_245 :args (_let_356 false _let_4 false _let_18 false _let_147 false _let_149 false _let_153 false _let_157 false _let_160 false _let_166 false _let_168 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_695)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_225 _let_298 _let_295 _let_293 _let_285 _let_215 _let_289 _let_283 _let_699 _let_276 _let_700 _let_701) (SCOPE (TRANS _let_304 _let_677 (SYMM _let_679) _let_294 (SYMM _let_697) _let_284 _let_703 (CONG (SYMM _let_696) _let_702 :args _let_197) (SYMM (SYMM _let_699)) (CONG (TRANS (CONG _let_201 _let_698 :args _let_199) _let_696) (REFL :args (_let_54)) :args _let_197)) :args (_let_160 _let_147 _let_157 _let_153 _let_166 _let_18 _let_4 _let_149 _let_168 _let_687 _let_55 _let_689 _let_690))) :args (_let_4 _let_18 _let_147 _let_149 _let_153 _let_157 _let_160 _let_55 _let_166 _let_168 _let_690 _let_689 _let_687))) :args (true _let_695)) :args ((or _let_194 _let_261 _let_192 _let_258 _let_255 _let_253 _let_252 _let_355 _let_250 _let_249 _let_248 _let_694 _let_693 (not _let_687)))) _let_96 _let_103 _let_172 _let_173 _let_236 _let_237 _let_238 _let_143 _let_241 _let_242 _let_692 _let_691 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_17 _let_13 _let_54 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_120)) _let_119 :args (_let_687 false _let_76)) :args (_let_355 false _let_4 false _let_18 false _let_147 false _let_149 false _let_153 false _let_157 false _let_160 false _let_55 false _let_166 false _let_168 false _let_690 false _let_689 false _let_687)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_683)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_303 _let_225 _let_298 _let_276 _let_686 _let_418) (SCOPE (TRANS _let_276 (CONG (CONG _let_219 _let_419 :args _let_199) _let_282 :args _let_197) (SYMM _let_686) (CONG _let_685 _let_277 :args _let_197)) :args (_let_160 _let_147 _let_157 _let_55 _let_682 _let_329))) :args (_let_147 _let_329 _let_157 _let_160 _let_55 _let_682))) :args (true _let_683)) :args ((or _let_403 _let_192 _let_253 _let_252 _let_353 _let_250 (not _let_682)))) _let_398 _let_172 _let_237 _let_238 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_134)) _let_133 :args (_let_682 false _let_74)) :args (_let_353 false _let_329 false _let_147 false _let_157 false _let_160 false _let_55 false _let_682)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_670)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_671 _let_673 _let_675 _let_303 _let_225 _let_298 _let_306 _let_295 _let_293 _let_285 _let_215 _let_289 _let_283 _let_280) (SCOPE (TRANS _let_649 (CONG (TRANS (CONG _let_219 (TRANS _let_650 (CONG (CONG _let_201 (TRANS _let_681 _let_290 (CONG _let_292 _let_216 :args _let_197) _let_286) :args _let_199) _let_198 :args _let_197) _let_653 _let_679) :args _let_199) (SYMM _let_678)) _let_282 :args _let_197) (CONG _let_678 _let_282 :args _let_197) _let_307 (CONG _let_320 (TRANS _let_612 _let_611 _let_672) :args _let_197) (SYMM _let_676) (CONG (CONG _let_219 _let_674 :args _let_199) _let_227 :args _let_197) (SYMM _let_672)) :args (_let_351 _let_664 _let_663 _let_160 _let_147 _let_157 _let_169 _let_153 _let_166 _let_18 _let_4 _let_149 _let_168 _let_170))) :args (_let_4 _let_18 _let_147 _let_149 _let_153 _let_157 _let_664 _let_160 _let_351 _let_166 _let_168 _let_663 _let_169 _let_170))) :args (true _let_670)) :args ((or _let_194 _let_261 _let_192 _let_258 _let_255 _let_253 _let_669 _let_252 _let_346 _let_665 _let_249 _let_248 _let_668 _let_247 _let_246))) _let_96 _let_103 _let_172 _let_173 _let_236 _let_237 _let_667 _let_238 _let_613 _let_241 _let_242 _let_666 _let_244 _let_245 :args (_let_665 false _let_4 false _let_18 false _let_147 false _let_149 false _let_153 false _let_157 false _let_664 false _let_160 true _let_346 false _let_166 false _let_168 false _let_663 false _let_169 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_635)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_276 _let_600 _let_321 _let_556 _let_508 _let_506 _let_205 _let_207 _let_212 _let_215 _let_594 _let_591 _let_588 _let_272 _let_640 _let_641 _let_644 _let_313 _let_266 _let_285 _let_318 _let_648 _let_280 _let_283 _let_289 _let_293 _let_295 _let_225 _let_298 _let_303 _let_306 _let_309 _let_660) (SCOPE (TRANS _let_661 _let_659 (CONG (CONG _let_201 _let_321 :args _let_199) _let_643 :args _let_197) (SYMM _let_648) (CONG (REFL :args (_let_11)) (TRANS _let_647 _let_642) :args _let_197) (SYMM (SYMM _let_640)) (CONG (REFL :args (_let_349)) _let_639 :args _let_197)) :args (_let_55 _let_60 _let_14 _let_42 _let_34 _let_25 _let_32 _let_8 _let_30 _let_4 _let_57 _let_58 _let_49 _let_28 _let_627 _let_52 _let_51 _let_46 _let_41 _let_18 _let_39 _let_630 _let_170 _let_168 _let_149 _let_166 _let_153 _let_147 _let_157 _let_160 _let_169 _let_164 _let_628))) :args (_let_4 _let_8 _let_14 _let_18 _let_147 _let_25 _let_28 _let_30 _let_32 _let_34 _let_149 _let_39 _let_41 _let_42 _let_153 _let_46 _let_157 _let_49 _let_160 _let_51 _let_164 _let_630 _let_628 _let_52 _let_55 _let_166 _let_168 _let_57 _let_169 _let_627 _let_170 _let_58 _let_60))) :args (true _let_635)) :args ((or _let_194 _let_193 _let_262 _let_261 _let_192 _let_480 _let_260 _let_190 _let_189 _let_477 _let_258 _let_257 _let_256 _let_552 _let_255 _let_254 _let_253 _let_570 _let_252 _let_350 _let_634 _let_251 (not _let_630) _let_633 _let_632 _let_250 _let_249 _let_248 _let_569 _let_247 _let_246 _let_568 _let_567 (not _let_627)))) _let_96 _let_101 _let_102 _let_103 _let_172 _let_113 _let_118 _let_122 _let_123 _let_124 _let_173 _let_128 _let_130 _let_132 _let_236 _let_138 _let_237 _let_139 _let_238 _let_140 _let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22 QUANTIFIERS_INST_E_MATCHING _let_131)) :args _let_120)) _let_119 :args (_let_630 false _let_76)) _let_631 _let_141 _let_143 _let_241 _let_242 _let_144 _let_244 _let_245 _let_145 _let_325 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_22 _let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_98)) _let_97 :args (_let_627 false _let_72)) :args (_let_350 false _let_4 false _let_8 false _let_14 false _let_18 false _let_147 false _let_25 false _let_28 false _let_30 false _let_32 false _let_34 false _let_149 false _let_39 false _let_41 false _let_42 false _let_153 false _let_46 false _let_157 false _let_49 false _let_160 false _let_51 false _let_164 false _let_630 false _let_628 false _let_52 false _let_55 false _let_166 false _let_168 false _let_57 false _let_169 false _let_170 false _let_58 false _let_60 false _let_627)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION _let_605 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_604 _let_276) (SCOPE (FALSE_ELIM (TRANS (CONG _let_227 _let_585 :args _let_544) (FALSE_INTRO (ASSUME :args _let_571)))) :args (_let_566 _let_55))) :args _let_583)) :args _let_582) (CONG _let_490 _let_489 _let_488 _let_580 _let_486 _let_579 _let_485 _let_484 _let_483 _let_482 _let_578 _let_577 _let_576 _let_575 _let_574 _let_573 _let_572 (REFL :args (_let_626)) :args _let_90)) :args ((or _let_194 _let_429 _let_193 _let_262 _let_480 _let_260 _let_190 _let_189 _let_478 _let_477 _let_463 _let_552 _let_570 _let_626 _let_250 _let_569 _let_568 _let_567))) _let_96 _let_422 _let_101 _let_102 _let_113 _let_118 _let_122 _let_123 _let_466 _let_124 _let_525 _let_132 _let_139 _let_143 _let_144 _let_145 _let_325 :args (_let_626 false _let_4 false _let_337 false _let_8 false _let_14 false _let_25 false _let_28 false _let_30 false _let_32 false _let_458 false _let_34 true _let_463 false _let_42 false _let_49 false _let_55 false _let_57 false _let_58 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_619)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_620 _let_298 _let_225 _let_303) (SCOPE (FALSE_ELIM (TRANS (CONG _let_227 _let_625 :args _let_544) (FALSE_INTRO _let_620))) :args (_let_616 _let_157 _let_147 _let_160))) :args (_let_147 _let_616 _let_157 _let_160))) :args (true _let_619)) (CONG (REFL :args (_let_192)) (MACRO_SR_PRED_INTRO :args ((= (not _let_616) _let_614))) (REFL :args (_let_253)) (REFL :args (_let_252)) (REFL :args (_let_615)) :args _let_90)) :args ((or _let_614 _let_192 _let_253 _let_252 _let_615))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_617)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_264 _let_618 _let_285 _let_318) (SCOPE (TRANS _let_319 (CONG (TRANS _let_316 (CONG _let_219 (SYMM _let_618) :args _let_199)) _let_268 :args _let_197) _let_265) :args (_let_38 _let_614 _let_18 _let_39))) :args (_let_18 _let_614 _let_38 _let_39))) :args (true _let_617)) :args ((or _let_150 _let_261 _let_616 _let_259 _let_257))) _let_128 _let_235 _let_126 _let_103 :args (_let_616 false _let_39 true _let_150 false _let_38 false _let_18)) _let_172 _let_237 _let_238 :args (_let_615 true _let_614 false _let_147 false _let_157 false _let_160)) _let_324 _let_613 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_553)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_545 _let_285 _let_548 _let_212 _let_215 _let_515 _let_207 _let_554 _let_321 _let_556 _let_508 _let_506 _let_205) (SCOPE (TRANS _let_218 _let_213 (CONG _let_210 _let_207 :args _let_197) _let_206 _let_560 _let_557 _let_555 (CONG _let_513 (SYMM _let_554) :args _let_197) _let_534 _let_516 _let_550 _let_549 _let_547 _let_546) :args (_let_443 _let_18 _let_446 _let_30 _let_4 _let_445 _let_8 _let_345 _let_14 _let_42 _let_34 _let_25 _let_32))) :args (_let_4 _let_8 _let_14 _let_18 _let_25 _let_30 _let_32 _let_34 _let_345 _let_443 _let_445 _let_446 _let_42))) :args (true _let_553)) :args ((or _let_194 _let_193 _let_262 _let_261 _let_480 _let_190 _let_189 _let_477 _let_447 _let_539 _let_475 _let_538 _let_552 _let_448))) _let_551 _let_132 _let_452 _let_451 _let_449 _let_124 _let_123 _let_122 _let_113 _let_103 _let_102 _let_101 _let_96 :args (_let_448 true _let_447 false _let_42 false _let_446 false _let_445 false _let_443 false _let_34 false _let_32 false _let_30 false _let_25 false _let_18 false _let_14 false _let_8 false _let_4)) _let_187 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_430)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_232 _let_431 _let_276 _let_432 _let_435 _let_437 _let_439 _let_418) (SCOPE (TRANS _let_441 _let_438 (CONG _let_270 _let_234 :args _let_197) (CONG _let_270 (TRANS _let_233 _let_431) :args _let_197) (CONG _let_270 _let_276 :args _let_197) (SYMM _let_436) (CONG _let_434 _let_282 :args _let_197) _let_277 (SYMM _let_431) _let_234) :args (_let_23 _let_344 _let_55 _let_337 _let_343 _let_341 _let_339 _let_329))) :args (_let_337 _let_23 _let_329 _let_339 _let_341 _let_344 _let_55 _let_343))) :args (true _let_430)) :args ((or _let_403 _let_429 _let_191 _let_428 _let_61 _let_427 (not _let_344) _let_250 _let_426))) _let_425 _let_143 _let_424 _let_423 _let_398 _let_108 _let_422 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_404)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_232 _let_405 _let_407 _let_215 _let_212 _let_410 _let_413 _let_414 _let_415 _let_416 _let_418 _let_225) (SCOPE (TRANS _let_421 _let_420 _let_417 (CONG (CONG _let_219 _let_233 :args _let_199) (SYMM (SYMM _let_415)) :args _let_197) (SYMM _let_414) (CONG _let_315 (TRANS (CONG _let_220 _let_234 :args _let_197) (SYMM (SYMM _let_413)) (CONG (CONG _let_219 (TRANS (CONG (SYMM (CONG _let_219 (TRANS _let_412 _let_411) :args _let_199)) _let_275 :args _let_197) (SYMM _let_410)) :args _let_199) _let_409 :args _let_197) _let_233) :args _let_197) (SYMM _let_408) (CONG (CONG _let_219 _let_406 :args _let_199) _let_275 :args _let_197) _let_234) :args (_let_23 _let_327 _let_331 _let_4 _let_30 _let_330 _let_332 _let_334 _let_335 _let_333 _let_329 _let_147))) :args (_let_4 _let_327 _let_147 _let_23 _let_329 _let_30 _let_330 _let_331 _let_332 _let_333 _let_334 _let_335))) :args (true _let_404)) :args ((or _let_403 _let_194 _let_402 _let_192 _let_191 _let_190 (not _let_330) _let_61 (not _let_331) (not _let_332) _let_401 (not _let_334) (not _let_335)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_17 _let_7 _let_22 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_133 :args (_let_334 false _let_74)) _let_400 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_7 _let_7 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_134)) _let_133 :args (_let_332 false _let_74)) _let_399 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_114 :args (_let_330 false _let_66)) _let_122 _let_398 _let_108 _let_172 _let_397 _let_96 :args (_let_61 true _let_391 false _let_381 false _let_379 false _let_374 false _let_392 false _let_369 false _let_368 false _let_367 false _let_366 false _let_365 false _let_363 false _let_361 false _let_360 false _let_359 false _let_358 false _let_357 false _let_356 false _let_355 false _let_353 true _let_351 false _let_350 true _let_348 true _let_347 true _let_59 true _let_346 true _let_345 true _let_65 true _let_344 false _let_343 false _let_55 false _let_341 false _let_339 false _let_329 false _let_23 false _let_337 true _let_335 false _let_334 false _let_333 false _let_332 false _let_331 false _let_330 false _let_30 false _let_329 false _let_23 false _let_147 false _let_327 false _let_4)) _let_325 _let_324 _let_145 _let_144 _let_143 _let_141 _let_140 _let_139 _let_138 _let_132 _let_130 _let_129 _let_128 _let_126 _let_124 _let_123 _let_122 _let_118 _let_113 _let_108 _let_103 _let_102 _let_101 _let_96 :args (false false _let_61 false _let_60 true _let_59 false _let_58 false _let_57 false _let_55 false _let_52 false _let_51 false _let_49 false _let_46 false _let_42 false _let_41 false _let_40 false _let_39 false _let_38 false _let_34 false _let_32 false _let_30 false _let_28 false _let_25 false _let_23 false _let_18 false _let_14 false _let_8 false _let_4)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.37/1.58 )
% 1.37/1.58 % SZS output end Proof for SEV003^5
% 1.37/1.58 % cvc5---1.0.5 exiting
% 1.37/1.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------