TSTP Solution File: SEV119^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV119^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 19:21:36 EDT 2023
% Result : Theorem 41.01s 41.24s
% Output : Proof 41.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SEV119^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.16 % Command : do_cvc5 %s %d
% 0.17/0.38 % Computer : n007.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Thu Aug 24 02:30:25 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.24/0.47 %----Proving TH0
% 0.24/0.48 %------------------------------------------------------------------------------
% 0.24/0.48 % File : SEV119^5 : TPTP v8.1.2. Released v4.0.0.
% 0.24/0.48 % Domain : Set Theory (Relations)
% 0.24/0.48 % Problem : TPS problem THM252
% 0.24/0.48 % Version : Especial.
% 0.24/0.48 % English :
% 0.24/0.48
% 0.24/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.24/0.48 % Source : [Bro09]
% 0.24/0.48 % Names : tps_0371 [Bro09]
% 0.24/0.48 % : THM252 [TPS]
% 0.24/0.48 % : THM252C [TPS]
% 0.24/0.48
% 0.24/0.48 % Status : Theorem
% 0.24/0.48 % Rating : 0.38 v8.1.0, 0.36 v7.5.0, 0.43 v7.4.0, 0.56 v7.3.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.40 v6.2.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.60 v4.1.0, 0.67 v4.0.0
% 0.24/0.48 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.24/0.48 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.24/0.48 % Maximal formula atoms : 1 ( 1 avg)
% 0.24/0.48 % Number of connectives : 42 ( 0 ~; 2 |; 4 &; 28 @)
% 0.24/0.48 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.24/0.48 % Maximal formula depth : 4 ( 4 avg)
% 0.24/0.48 % Number of types : 2 ( 1 usr)
% 0.24/0.48 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.24/0.48 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.24/0.48 % Number of variables : 19 ( 4 ^; 15 !; 0 ?; 19 :)
% 0.24/0.48 % SPC : TH0_THM_EQU_NAR
% 0.24/0.48
% 0.24/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.24/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.24/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.24/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.24/0.48 % : Polymorphic definitions expanded.
% 0.24/0.48 %------------------------------------------------------------------------------
% 0.24/0.48 thf(a_type,type,
% 0.24/0.48 a: $tType ).
% 0.24/0.48
% 0.24/0.48 thf(cTHM252_pme,conjecture,
% 0.24/0.48 ! [PROP: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o] :
% 0.24/0.48 ( ( ^ [Xx: a,Xy: a] :
% 0.24/0.48 ! [Xp: a > a > $o] :
% 0.24/0.48 ( ( ! [Xx0: a,Xy0: a] :
% 0.24/0.48 ( ( ( R @ Xx0 @ Xy0 )
% 0.24/0.48 | ( S @ Xx0 @ Xy0 ) )
% 0.24/0.48 => ( Xp @ Xx0 @ Xy0 ) )
% 0.24/0.48 & ( PROP @ Xp ) )
% 0.24/0.48 => ( Xp @ Xx @ Xy ) ) )
% 0.24/0.48 = ( ^ [Xx: a,Xy: a] :
% 0.24/0.48 ! [Xp: a > a > $o] :
% 0.24/0.48 ( ( ! [Xx0: a,Xy0: a] :
% 0.24/0.48 ( ( ! [Xp0: a > a > $o] :
% 0.24/0.48 ( ( ! [Xx1: a,Xy1: a] :
% 0.24/0.48 ( ( R @ Xx1 @ Xy1 )
% 0.24/0.48 => ( Xp0 @ Xx1 @ Xy1 ) )
% 0.24/0.48 & ( PROP @ Xp0 ) )
% 0.24/0.48 => ( Xp0 @ Xx0 @ Xy0 ) )
% 0.24/0.48 | ! [Xp0: a > a > $o] :
% 0.24/0.48 ( ( ! [Xx1: a,Xy1: a] :
% 0.24/0.48 ( ( S @ Xx1 @ Xy1 )
% 0.24/0.48 => ( Xp0 @ Xx1 @ Xy1 ) )
% 0.24/0.48 & ( PROP @ Xp0 ) )
% 0.24/0.48 => ( Xp0 @ Xx0 @ Xy0 ) ) )
% 0.24/0.48 => ( Xp @ Xx0 @ Xy0 ) )
% 0.24/0.48 & ( PROP @ Xp ) )
% 0.24/0.48 => ( Xp @ Xx @ Xy ) ) ) ) ).
% 0.24/0.48
% 0.24/0.48 %------------------------------------------------------------------------------
% 0.24/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RKuZFBKrL9/cvc5---1.0.5_17043.p...
% 0.24/0.48 (declare-sort $$unsorted 0)
% 0.24/0.48 (declare-sort tptp.a 0)
% 0.24/0.48 (assert (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool))) (= (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (or (@ (@ R Xx0) Xy0) (@ (@ S Xx0) Xy0)) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy)))) (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (or (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (=> (@ (@ R Xx1) Xy1) (@ (@ Xp0 Xx1) Xy1))) (@ PROP Xp0)) (@ (@ Xp0 Xx0) Xy0))) (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (=> (@ (@ S Xx1) Xy1) (@ (@ Xp0 Xx1) Xy1))) (@ PROP Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy))))))))
% 0.24/0.48 (set-info :filename cvc5---1.0.5_17043)
% 0.24/0.48 (check-sat-assuming ( true ))
% 41.01/41.24 ------- get file name : TPTP file name is SEV119^5
% 41.01/41.24 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17043.smt2...
% 41.01/41.24 --- Run --ho-elim --full-saturate-quant at 10...
% 41.01/41.24 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 41.01/41.24 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 41.01/41.24 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 41.01/41.24 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 41.01/41.24 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 41.01/41.24 % SZS status Theorem for SEV119^5
% 41.01/41.24 % SZS output start Proof for SEV119^5
% 41.01/41.24 (
% 41.01/41.24 (let ((_let_1 (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool))) (= (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (or (@ (@ R Xx0) Xy0) (@ (@ S Xx0) Xy0)) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy)))) (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (or (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (=> (@ (@ R Xx1) Xy1) (@ (@ Xp0 Xx1) Xy1))) (@ PROP Xp0)) (@ (@ Xp0 Xx0) Xy0))) (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (=> (@ (@ S Xx1) Xy1) (@ (@ Xp0 Xx1) Xy1))) (@ PROP Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy))))))))) (let ((_let_2 (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_170 Xx1) Xy1))))) (let ((_let_3 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_170 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_4 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_170))) (let ((_let_8 (not _let_2))) (let ((_let_9 (or _let_8 (not _let_7) _let_3))) (let ((_let_10 (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (not _let_10))) (let ((_let_13 (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (and _let_14 _let_12))) (let ((_let_16 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_17 (or _let_15 _let_16))) (let ((_let_18 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 Xx0) Xy0))))) (let ((_let_19 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 k_7 k_8))) (let ((_let_20 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_18))) (let ((_let_23 (or _let_22 _let_21 _let_19))) (let ((_let_24 (forall ((Xp (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ Xp Xx0) Xy0)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp)) (@ (@ Xp k_7) k_8))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (lambdaF_5 k_7 k_8))) (let ((_let_27 (= _let_26 _let_24))) (let ((_let_28 (not _let_24))) (let ((_let_29 (forall ((Xx tptp.a) (Xy tptp.a)) (= (forall ((Xp (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ Xp Xx0) Xy0)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp)) (@ (@ Xp Xx) Xy))) (lambdaF_5 Xx Xy))))) (let ((_let_30 ((forall ((Xx tptp.a) (Xy tptp.a)) (= (lambdaF_5 Xx Xy) (@ (@ (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ Xp Xx0) Xy0)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp)) (@ (@ Xp Xx) Xy)))) Xx) Xy)))))) (let ((_let_31 (EQ_RESOLVE (MACRO_SR_PRED_INTRO :args _let_30) (REWRITE :args _let_30)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (k_7 k_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((lambdaF_5 Xx Xy)))) :args (_let_29)))) _let_31 :args (_let_27 false _let_29)))) (let ((_let_33 (lambdaF_6 k_7 k_8))) (let ((_let_34 (= _let_26 _let_33))) (let ((_let_35 (forall ((Xp (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) Xy0)) (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) Xy0))) (@ (@ Xp Xx0) Xy0)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp)) (@ (@ Xp k_7) k_8))))) (let ((_let_36 (= _let_33 _let_35))) (let ((_let_37 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 k_7 k_8))) (let ((_let_38 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_39 (not _let_38))) (let ((_let_40 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx0) Xy0))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_37))) (let ((_let_43 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) Xy0)) (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) Xy0))) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx0) Xy0))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_39 _let_37))) (let ((_let_46 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_47 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_48 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_49 (not _let_48))) (let ((_let_50 (and _let_49 (not _let_47)))) (let ((_let_51 (or _let_50 _let_46))) (let ((_let_52 (or _let_49 _let_46))) (let ((_let_53 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_54 (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_55 (not _let_54))) (let ((_let_56 (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Xp0)) (@ (@ Xp0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) 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:args _let_90) :args ((or _let_26 _let_28 _let_89))) _let_124 _let_32 :args (_let_28 true _let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_129 (REFL :args (_let_23)))) (let ((_let_130 (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67) _let_16))))) (let ((_let_131 (_let_18))) (let ((_let_132 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_133 (not _let_132))) (let ((_let_134 (and _let_133 _let_5))) (let ((_let_135 (or _let_134 _let_16))) (let ((_let_136 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx0) Xy0)) (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx0) Xy0))) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 Xx0) Xy0))))) (let ((_let_137 (not _let_135))) (let ((_let_138 (not _let_136))) (let ((_let_139 (or _let_138 _let_21 _let_19))) (let ((_let_140 (_let_138))) (let ((_let_141 (REFL :args _let_140))) (let ((_let_142 (_let_35))) (let ((_let_143 (CONG (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67) _let_4))) :args _let_85))) (let ((_let_144 (CONG (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67) _let_132))) :args _let_85))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_140)) :args _let_140) (CONG _let_141 (CONG (CONG (CONG _let_144 _let_143 :args _let_107) _let_130 :args _let_83) :args _let_85) :args _let_84))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_136))) (REFL :args (_let_137)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_19 _let_21 _let_138 (not _let_139)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 2)) _let_128 :args ((not _let_19) true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_83)) :args ((or _let_20 _let_23))) _let_128 :args (_let_20 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_142) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING)) :args _let_142) (CONG (REFL :args _let_142) (CONG _let_141 _let_126 _let_125 :args _let_83) :args _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_97) :args ((or (not _let_33) _let_35 _let_95))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_88) :args ((or _let_26 _let_33 _let_34))) _let_124 _let_87 :args (_let_33 true _let_26 true _let_34)) _let_94 :args (_let_35 false _let_33 false _let_36)) :args (_let_139 false _let_35)) :args (_let_138 true _let_19 false _let_20 false _let_139)) :args (_let_137 true _let_136)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 (not _let_17)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_135 1)) _let_145 :args ((not _let_16) true _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 QUANTIFIERS_INST_E_MATCHING ((not (= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 Xx0) Xy0) true))))) :args _let_131) (CONG (REFL :args _let_131) (CONG (REFL :args (_let_15)) _let_130 :args _let_83) :args _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_129 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) :args _let_83)) :args ((or _let_18 _let_23))) _let_128 :args (_let_18 true _let_23)) :args (_let_17 false _let_18)) :args (_let_15 true _let_16 false _let_17)))) (let ((_let_147 (not _let_15))) (let ((_let_148 (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_170 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67) _let_3))))) (let ((_let_149 (_let_12))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_149)) :args _let_149) (CONG (REFL :args _let_149) (CONG (CONG (REFL :args (_let_8)) (CONG (THEORY_PREPROCESS :args ((= (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_170) _let_7))) :args _let_85) _let_148 :args _let_83) :args _let_85) :args _let_84))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_10))) (REFL :args (_let_11)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 1)) :args ((or _let_12 _let_147))) _let_146 :args (_let_12 false _let_15)) :args (_let_11 true _let_10)))) (let ((_let_151 (not _let_6))) (let ((_let_152 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67))) (let ((_let_153 (or _let_133 _let_152))) (let ((_let_154 (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Xx1) Xy1)) (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_169 Xx1) Xy1))))) (let ((_let_155 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_169))) (let ((_let_156 (not _let_154))) (let ((_let_157 (or _let_156 (not _let_155) _let_152))) (let ((_let_158 (not _let_157))) (let ((_let_159 (THEORY_PREPROCESS :args ((= (@ (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67) _let_152))))) (let ((_let_160 (_let_14))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_160)) :args _let_160) (CONG (REFL :args _let_160) (CONG (CONG (REFL :args (_let_156)) (CONG (THEORY_PREPROCESS :args ((= (@ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_169) _let_155))) :args _let_85) _let_159 :args _let_83) :args _let_85) :args _let_84))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args (_let_158)) :args _let_83)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_15 0)) :args ((or _let_14 _let_147))) _let_146 :args (_let_14 false _let_15)) :args (_let_158 true _let_13)))) (let ((_let_162 (_let_154))) (let ((_let_163 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_67 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_164 (_let_134))) (let ((_let_165 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_165) :args _let_163) :args _let_165) (CONG (REFL :args _let_165) (CONG _let_143 _let_148 :args _let_83) :args _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_5 _let_3 _let_151))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_164) (CONG (REFL :args _let_164) (MACRO_SR_PRED_INTRO :args ((= (not _let_133) _let_132))) (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_83)) :args ((or _let_4 _let_132 _let_134))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_133 _let_152 (not _let_153)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_157 2)) _let_161 :args ((not _let_152) true _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_162) :args _let_163) :args _let_162) (CONG (REFL :args _let_162) (CONG _let_144 _let_159 :args _let_83) :args _let_84))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_157 0)) (CONG (REFL :args (_let_157)) (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_154))) :args _let_83)) :args ((or _let_154 _let_157))) _let_161 :args (_let_154 true _let_157)) :args (_let_153 false _let_154)) :args (_let_133 true _let_152 false _let_153)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_135 0)) _let_145 :args ((not _let_134) true _let_135)) :args (_let_4 true _let_132 true _let_134)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_9 2)) _let_150 :args ((not _let_3) true _let_9)) :args (_let_151 false _let_4 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_2))) :args _let_83)) :args ((or _let_2 _let_9))) _let_150 :args (_let_2 true _let_9)) :args (false true _let_6 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 41.01/41.25 )
% 41.01/41.25 % SZS output end Proof for SEV119^5
% 41.01/41.25 % cvc5---1.0.5 exiting
% 41.01/41.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------