TSTP Solution File: SEV011^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV011^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 19:21:18 EDT 2023
% Result : Theorem 12.89s 13.11s
% Output : Proof 12.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV011^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 04:00:16 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 12.89/13.11 %------------------------------------------------------------------------------
% 12.89/13.11 % File : SEV011^5 : TPTP v8.1.2. Released v4.0.0.
% 12.89/13.11 % Domain : Set Theory (Relations)
% 12.89/13.11 % Problem : TPS problem THM260-B
% 12.89/13.11 % Version : Especial.
% 12.89/13.11 % English : An equivalence relation defines a partition.
% 12.89/13.11
% 12.89/13.11 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 12.89/13.11 % Source : [Bro09]
% 12.89/13.11 % Names : tps_0541 [Bro09]
% 12.89/13.11 % : THM260-B [TPS]
% 12.89/13.11
% 12.89/13.11 % Status : Theorem
% 12.89/13.11 % Rating : 0.31 v8.1.0, 0.36 v7.5.0, 0.43 v7.4.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.62 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.40 v6.2.0, 0.57 v6.1.0, 0.43 v5.5.0, 0.67 v5.4.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0
% 12.89/13.11 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 12.89/13.11 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 12.89/13.11 % Maximal formula atoms : 1 ( 1 avg)
% 12.89/13.11 % Number of connectives : 36 ( 0 ~; 0 |; 6 &; 22 @)
% 12.89/13.11 % ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% 12.89/13.11 % Maximal formula depth : 16 ( 16 avg)
% 12.89/13.11 % Number of types : 2 ( 1 usr)
% 12.89/13.11 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 12.89/13.11 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 12.89/13.11 % Number of variables : 14 ( 0 ^; 13 !; 1 ?; 14 :)
% 12.89/13.11 % SPC : TH0_THM_EQU_NAR
% 12.89/13.11
% 12.89/13.11 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 12.89/13.11 % project in the Department of Mathematical Sciences at Carnegie
% 12.89/13.11 % Mellon University. Distributed under the Creative Commons copyleft
% 12.89/13.11 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 12.89/13.11 % : Polymorphic definitions expanded.
% 12.89/13.11 %------------------------------------------------------------------------------
% 12.89/13.11 thf(a_type,type,
% 12.89/13.11 a: $tType ).
% 12.89/13.11
% 12.89/13.11 thf(cTHM260_B_pme,conjecture,
% 12.89/13.11 ! [R: a > a > $o] :
% 12.89/13.11 ( ( ! [Xx: a] : ( R @ Xx @ Xx )
% 12.89/13.11 & ! [Xx: a,Xy: a] :
% 12.89/13.11 ( ( R @ Xx @ Xy )
% 12.89/13.11 => ( R @ Xy @ Xx ) )
% 12.89/13.11 & ! [Xx: a,Xy: a,Xz: a] :
% 12.89/13.11 ( ( ( R @ Xx @ Xy )
% 12.89/13.11 & ( R @ Xy @ Xz ) )
% 12.89/13.11 => ( R @ Xx @ Xz ) ) )
% 12.89/13.11 => ! [Xx: a] :
% 12.89/13.11 ? [Xp: a > $o] :
% 12.89/13.11 ( ! [Xx0: a] :
% 12.89/13.11 ( ( Xp @ Xx0 )
% 12.89/13.11 => ! [Xy: a] :
% 12.89/13.11 ( ( Xp @ Xy )
% 12.89/13.11 <=> ( R @ Xx0 @ Xy ) ) )
% 12.89/13.11 & ( Xp @ Xx )
% 12.89/13.11 & ! [Xq: a > $o] :
% 12.89/13.11 ( ( ! [Xx0: a] :
% 12.89/13.11 ( ( Xq @ Xx0 )
% 12.89/13.11 => ! [Xy: a] :
% 12.89/13.11 ( ( Xq @ Xy )
% 12.89/13.11 <=> ( R @ Xx0 @ Xy ) ) )
% 12.89/13.11 & ( Xq @ Xx ) )
% 12.89/13.11 => ( Xq = Xp ) ) ) ) ).
% 12.89/13.11
% 12.89/13.11 %------------------------------------------------------------------------------
% 12.89/13.11 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MyoBoAJyYt/cvc5---1.0.5_10831.p...
% 12.89/13.11 (declare-sort $$unsorted 0)
% 12.89/13.11 (declare-sort tptp.a 0)
% 12.89/13.11 (assert (not (forall ((R (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (@ (@ R Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ R Xx) Xy) (@ (@ R Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ R Xx))) (=> (and (@ _let_1 Xy) (@ (@ R Xy) Xz)) (@ _let_1 Xz))))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (forall ((Xx0 tptp.a)) (=> (@ Xp Xx0) (forall ((Xy tptp.a)) (= (@ Xp Xy) (@ (@ R Xx0) Xy))))) (@ Xp Xx) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a)) (=> (@ Xq Xx0) (forall ((Xy tptp.a)) (= (@ Xq Xy) (@ (@ R Xx0) Xy))))) (@ Xq Xx)) (= Xq Xp))))))))))
% 12.89/13.11 (set-info :filename cvc5---1.0.5_10831)
% 12.89/13.11 (check-sat-assuming ( true ))
% 12.89/13.11 ------- get file name : TPTP file name is SEV011^5
% 12.89/13.11 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10831.smt2...
% 12.89/13.11 --- Run --ho-elim --full-saturate-quant at 10...
% 12.89/13.11 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 12.89/13.11 % SZS status Theorem for SEV011^5
% 12.89/13.11 % SZS output start Proof for SEV011^5
% 12.89/13.11 (
% 12.89/13.11 (let ((_let_1 (not (forall ((R (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (@ (@ R Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ R Xx) Xy) (@ (@ R Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ R Xx))) (=> (and (@ _let_1 Xy) (@ (@ R Xy) Xz)) (@ _let_1 Xz))))) (forall ((Xx tptp.a)) (exists ((Xp (-> tptp.a Bool))) (and (forall ((Xx0 tptp.a)) (=> (@ Xp Xx0) (forall ((Xy tptp.a)) (= (@ Xp Xy) (@ (@ R Xx0) Xy))))) (@ Xp Xx) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a)) (=> (@ Xq Xx0) (forall ((Xy tptp.a)) (= (@ Xq Xy) (@ (@ R Xx0) Xy))))) (@ Xq Xx)) (= Xq Xp))))))))))) (let ((_let_2 (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 Xx0)) (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_671) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 BOUND_VARIABLE_671)))))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (= (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6162) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6162)))) (let ((_let_5 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (= _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88))) (let ((_let_9 (not _let_2))) (let ((_let_10 (or _let_9 _let_6 _let_8))) (let ((_let_11 (forall ((BOUND_VARIABLE_727 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_727 Xx0)) (= (ho_2 BOUND_VARIABLE_727 BOUND_VARIABLE_671) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_671))))) (not (ho_2 BOUND_VARIABLE_727 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (= BOUND_VARIABLE_727 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (not _let_11))) (let ((_let_14 (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((Xx0 tptp.a) (BOUND_VARIABLE_660 tptp.a)) (let ((_let_1 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (not (ho_2 _let_1 Xx0)) (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_660) (ho_2 _let_1 BOUND_VARIABLE_660))))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (forall ((BOUND_VARIABLE_730 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_660 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_730 Xx0)) (= (ho_2 BOUND_VARIABLE_730 BOUND_VARIABLE_660) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_660))))) (not (ho_2 BOUND_VARIABLE_730 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((BOUND_VARIABLE_727 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_727 Xx0)) (= (ho_2 BOUND_VARIABLE_727 BOUND_VARIABLE_671) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_671))))) (not (ho_2 BOUND_VARIABLE_727 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (= BOUND_VARIABLE_727 BOUND_VARIABLE_730)))))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx))) (or (not (ho_2 _let_1 Xy)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xz)) (ho_2 _let_1 Xz)))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy)) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xx))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((Xx tptp.a)) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xx)))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_20))) (let ((_let_28 (forall ((BOUND_VARIABLE_735 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_710 tptp.a)) (or (not (forall ((Xx tptp.a)) (ho_2 (ho_3 BOUND_VARIABLE_735 Xx) Xx))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_735 Xx) Xy)) (ho_2 (ho_3 BOUND_VARIABLE_735 Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_3 BOUND_VARIABLE_735 Xx))) (or (not (ho_2 _let_1 Xy)) (not (ho_2 (ho_3 BOUND_VARIABLE_735 Xy) Xz)) (ho_2 _let_1 Xz))))) (not (forall ((BOUND_VARIABLE_730 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_660 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_730 Xx0)) (= (ho_2 (ho_3 BOUND_VARIABLE_735 Xx0) BOUND_VARIABLE_660) (ho_2 BOUND_VARIABLE_730 BOUND_VARIABLE_660))))) (not (ho_2 BOUND_VARIABLE_730 BOUND_VARIABLE_710)) (not (forall ((BOUND_VARIABLE_727 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_727 Xx0)) (= (ho_2 (ho_3 BOUND_VARIABLE_735 Xx0) BOUND_VARIABLE_671) (ho_2 BOUND_VARIABLE_727 BOUND_VARIABLE_671))))) (not (ho_2 BOUND_VARIABLE_727 BOUND_VARIABLE_710)) (= BOUND_VARIABLE_727 BOUND_VARIABLE_730))))))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_31 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_32 (forall ((u |u_(-> tptp.a tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_33 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_34 (not _let_28))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((R (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_710 tptp.a)) (or (not (forall ((Xx tptp.a)) (@ (@ R Xx) Xx))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ R Xx) Xy)) (@ (@ R Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ R Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ R Xy) Xz)) (@ _let_1 Xz))))) (not (forall ((Xp (-> tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_660 tptp.a)) (or (not (@ Xp Xx0)) (= (@ Xp BOUND_VARIABLE_660) (@ (@ R Xx0) BOUND_VARIABLE_660))))) (not (@ Xp BOUND_VARIABLE_710)) (not (forall ((Xq (-> tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (@ Xq Xx0)) (= (@ Xq BOUND_VARIABLE_671) (@ (@ R Xx0) BOUND_VARIABLE_671))))) (not (@ Xq BOUND_VARIABLE_710)) (= Xp Xq)))))))))) _let_34))))))) (let ((_let_36 (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_35 (PREPROCESS :args ((and _let_33 _let_32 _let_31 _let_30)))) :args ((and _let_34 _let_33 _let_32 _let_31 _let_30))))) (let ((_let_37 (or))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_35) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (or _let_26 _let_24 _let_22 (not (forall ((BOUND_VARIABLE_730 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_660 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_730 Xx0)) (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_660) (ho_2 BOUND_VARIABLE_730 BOUND_VARIABLE_660))))) (not (ho_2 BOUND_VARIABLE_730 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (forall ((BOUND_VARIABLE_727 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_727 Xx0)) (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_671) (ho_2 BOUND_VARIABLE_727 BOUND_VARIABLE_671))))) (not (ho_2 BOUND_VARIABLE_727 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (= BOUND_VARIABLE_727 BOUND_VARIABLE_730)))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_28))) (REFL :args (_let_29)) :args _let_37)) (AND_ELIM _let_36 :args (0)) :args (_let_29 true _let_28)))) (let ((_let_39 (REFL :args (_let_27)))) (let ((_let_40 (_let_19))) (let ((_let_41 (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_42 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_43 (ho_2 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35))) (let ((_let_44 (= _let_43 _let_41))) (let ((_let_45 (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (ho_2 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_49 (or _let_46 _let_48))) (let ((_let_50 (not _let_41))) (let ((_let_51 (not _let_48))) (let ((_let_52 (or _let_51 _let_50 _let_43))) (let ((_let_53 (not _let_43))) (let ((_let_54 (or _let_46 _let_53 _let_41))) (let ((_let_55 (_let_44))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 2)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_37)) :args ((or _let_21 _let_27))) _let_38 :args (_let_21 true _let_27)))) (let ((_let_57 (_let_21))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (_let_23))) (let ((_let_60 (_let_17))) (let ((_let_61 (_let_25))) (let ((_let_62 (_let_13))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62) (REWRITE :args ((=> _let_13 (not (or (not (forall ((Xx0 tptp.a) (BOUND_VARIABLE_671 tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 Xx0)) (= (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 BOUND_VARIABLE_671) (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) BOUND_VARIABLE_671))))) _let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 _let_3)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_11))) (REFL :args (_let_12)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_15 _let_13 _let_17 (not _let_18)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_37)) :args ((or _let_25 _let_27))) _let_38 :args (_let_25 true _let_27)) :args (_let_14 false _let_25)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args ((not _let_47))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_43 _let_50 _let_51 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_56 :args (_let_52 false _let_21)) (REORDERING (CNF_EQUIV_NEG1 :args _let_55) :args ((or _let_43 _let_41 _let_44))) (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_46 _let_48 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_37)) :args ((or _let_23 _let_27))) _let_38 :args (_let_23 true _let_27)) :args (_let_49 false _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_46 _let_41 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_56 :args (_let_54 false _let_21)) (CNF_EQUIV_NEG2 :args _let_55) :args ((or _let_46 _let_44 _let_53) false _let_54 true _let_41)) (CNF_OR_NEG :args (_let_47 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_37)) :args ((or _let_45 _let_47))) :args (_let_47 false _let_52 false _let_41 false _let_48 false _let_49 true _let_43 true _let_44 false _let_45)) :args (_let_16 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_37)) :args ((or _let_19 _let_27))) _let_38 :args (_let_19 true _let_27)) :args (_let_18 false _let_19)) :args (_let_13 false _let_14 false _let_16 false _let_18)) :args (_let_12 true _let_11)))) (let ((_let_64 (REFL :args (_let_10)))) (let ((_let_65 (not _let_7))) (let ((_let_66 (forall ((z tptp.a)) (= (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) z) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 z))))) (let ((_let_67 (not _let_4))) (let ((_let_68 (not _let_66))) (let ((_let_69 (or _let_68 _let_8))) (let ((_let_70 (_let_31))) (let ((_let_71 (_let_68))) (let ((_let_72 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_72) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6162 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_65))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_37)) :args ((or _let_5 _let_10))) _let_63 :args (_let_5 true _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_66))) (REFL :args (_let_67)) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_8 _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_10 2)) _let_63 :args ((not _let_8) true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_70) :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 QUANTIFIERS_INST_ENUM)) :args _let_70)) (AND_ELIM _let_36 :args (3)) :args (_let_69 false _let_31)) :args (_let_68 true _let_8 false _let_69)) :args (_let_67 true _let_66)) :args (_let_65 false _let_5 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_2))) :args _let_37)) :args ((or _let_2 _let_10))) _let_63 :args (_let_2 true _let_10)) :args (false true _let_7 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.89/13.11 )
% 12.89/13.11 % SZS output end Proof for SEV011^5
% 12.89/13.11 % cvc5---1.0.5 exiting
% 12.89/13.12 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------