TSTP Solution File: SEV046^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV046^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 19:21:25 EDT 2023
% Result : Theorem 0.48s 0.65s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEV046^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n023.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu Aug 24 03:54:42 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.24/0.52 %----Proving TH0
% 0.24/0.54 %------------------------------------------------------------------------------
% 0.24/0.54 % File : SEV046^5 : TPTP v8.1.2. Released v4.0.0.
% 0.24/0.54 % Domain : Set Theory (Relations)
% 0.24/0.54 % Problem : TPS problem from PERS-THMS
% 0.24/0.54 % Version : Especial.
% 0.24/0.54 % English :
% 0.24/0.54
% 0.24/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.24/0.54 % Source : [Bro09]
% 0.24/0.54 % Names : tps_1181 [Bro09]
% 0.24/0.54
% 0.24/0.54 % Status : Theorem
% 0.24/0.54 % Rating : 0.15 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v4.1.0, 0.33 v4.0.1, 1.00 v4.0.0
% 0.24/0.54 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.24/0.54 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.24/0.54 % Maximal formula atoms : 1 ( 1 avg)
% 0.24/0.54 % Number of connectives : 88 ( 0 ~; 0 |; 8 &; 66 @)
% 0.24/0.54 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.24/0.54 % Maximal formula depth : 18 ( 18 avg)
% 0.24/0.54 % Number of types : 3 ( 2 usr)
% 0.24/0.54 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.24/0.54 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.24/0.54 % Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% 0.24/0.54 % SPC : TH0_THM_EQU_NAR
% 0.24/0.54
% 0.24/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.24/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.24/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.24/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.24/0.54 %------------------------------------------------------------------------------
% 0.24/0.54 thf(a_type,type,
% 0.24/0.54 a: $tType ).
% 0.24/0.54
% 0.24/0.54 thf(b_type,type,
% 0.24/0.54 b: $tType ).
% 0.24/0.54
% 0.24/0.54 thf(cTHM507_pme,conjecture,
% 0.24/0.54 ! [Xp: a > a > $o,Xp2: a > b > b > $o] :
% 0.24/0.54 ( ( ! [Xx: a,Xy: a] :
% 0.24/0.54 ( ( Xp @ Xx @ Xy )
% 0.24/0.54 => ( Xp @ Xy @ Xx ) )
% 0.24/0.54 & ! [Xx: a,Xy: a,Xz: a] :
% 0.24/0.54 ( ( ( Xp @ Xx @ Xy )
% 0.24/0.54 & ( Xp @ Xy @ Xz ) )
% 0.24/0.54 => ( Xp @ Xx @ Xz ) )
% 0.24/0.54 & ! [Xx: a] :
% 0.24/0.54 ( ( Xp @ Xx @ Xx )
% 0.24/0.54 => ( ! [Xx0: b,Xy: b] :
% 0.24/0.54 ( ( Xp2 @ Xx @ Xx0 @ Xy )
% 0.24/0.54 => ( Xp2 @ Xx @ Xy @ Xx0 ) )
% 0.24/0.54 & ! [Xx0: b,Xy: b,Xz: b] :
% 0.24/0.54 ( ( ( Xp2 @ Xx @ Xx0 @ Xy )
% 0.24/0.54 & ( Xp2 @ Xx @ Xy @ Xz ) )
% 0.24/0.54 => ( Xp2 @ Xx @ Xx0 @ Xz ) ) ) )
% 0.24/0.54 & ! [Xx: a,Xy: a] :
% 0.24/0.54 ( ( Xp @ Xx @ Xy )
% 0.24/0.54 => ( ( Xp2 @ Xx )
% 0.24/0.54 = ( Xp2 @ Xy ) ) ) )
% 0.24/0.54 => ( ! [Xx: a > b,Xy: a > b] :
% 0.24/0.54 ( ! [Xx0: a,Xy0: a] :
% 0.24/0.54 ( ( Xp @ Xx0 @ Xy0 )
% 0.24/0.54 => ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 0.24/0.54 => ! [Xx0: a,Xy0: a] :
% 0.24/0.54 ( ( Xp @ Xx0 @ Xy0 )
% 0.24/0.54 => ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
% 0.24/0.54 & ! [Xx: a > b,Xy: a > b,Xz: a > b] :
% 0.24/0.54 ( ( ! [Xx0: a,Xy0: a] :
% 0.24/0.54 ( ( Xp @ Xx0 @ Xy0 )
% 0.24/0.54 => ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 0.24/0.54 & ! [Xx0: a,Xy0: a] :
% 0.24/0.54 ( ( Xp @ Xx0 @ Xy0 )
% 0.24/0.54 => ( Xp2 @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
% 0.24/0.54 => ! [Xx0: a,Xy0: a] :
% 0.24/0.54 ( ( Xp @ Xx0 @ Xy0 )
% 0.24/0.54 => ( Xp2 @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) ) ) ) ).
% 0.24/0.54
% 0.24/0.54 %------------------------------------------------------------------------------
% 0.24/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.R6nuCmTYNF/cvc5---1.0.5_32737.p...
% 0.24/0.54 (declare-sort $$unsorted 0)
% 0.24/0.54 (declare-sort tptp.a 0)
% 0.24/0.54 (declare-sort tptp.b 0)
% 0.24/0.54 (assert (not (forall ((Xp (-> tptp.a tptp.a Bool)) (Xp2 (-> tptp.a tptp.b tptp.b Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx tptp.a)) (=> (@ (@ Xp Xx) Xx) (and (forall ((Xx0 tptp.b) (Xy tptp.b)) (let ((_let_1 (@ Xp2 Xx))) (=> (@ (@ _let_1 Xx0) Xy) (@ (@ _let_1 Xy) Xx0)))) (forall ((Xx0 tptp.b) (Xy tptp.b) (Xz tptp.b)) (let ((_let_1 (@ Xp2 Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz)))))))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (= (@ Xp2 Xx) (@ Xp2 Xy))))) (and (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b))) (=> (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xy Xx0)) (@ Xx Xy0)))))) (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b)) (Xz (-> tptp.a tptp.b))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xy Xx0)) (@ Xz Xy0))))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xz Xy0)))))))))))
% 0.48/0.65 (set-info :filename cvc5---1.0.5_32737)
% 0.48/0.65 (check-sat-assuming ( true ))
% 0.48/0.65 ------- get file name : TPTP file name is SEV046^5
% 0.48/0.65 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32737.smt2...
% 0.48/0.65 --- Run --ho-elim --full-saturate-quant at 10...
% 0.48/0.65 % SZS status Theorem for SEV046^5
% 0.48/0.65 % SZS output start Proof for SEV046^5
% 0.48/0.65 (
% 0.48/0.65 (let ((_let_1 (not (forall ((Xp (-> tptp.a tptp.a Bool)) (Xp2 (-> tptp.a tptp.b tptp.b Bool))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx tptp.a)) (=> (@ (@ Xp Xx) Xx) (and (forall ((Xx0 tptp.b) (Xy tptp.b)) (let ((_let_1 (@ Xp2 Xx))) (=> (@ (@ _let_1 Xx0) Xy) (@ (@ _let_1 Xy) Xx0)))) (forall ((Xx0 tptp.b) (Xy tptp.b) (Xz tptp.b)) (let ((_let_1 (@ Xp2 Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz)))))))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (= (@ Xp2 Xx) (@ Xp2 Xy))))) (and (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b))) (=> (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xy Xx0)) (@ Xx Xy0)))))) (forall ((Xx (-> tptp.a tptp.b)) (Xy (-> tptp.a tptp.b)) (Xz (-> tptp.a tptp.b))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xy Xy0)))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xy Xx0)) (@ Xz Xy0))))) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xp Xx0) Xy0) (@ (@ (@ Xp2 Xx0) (@ Xx Xx0)) (@ Xz Xy0)))))))))))) (let ((_let_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_4 (= _let_3 _let_2))) (let ((_let_5 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_6 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_7 (ho_5 (ho_4 _let_2 _let_6) _let_5))) (let ((_let_8 (ho_4 _let_3 _let_6))) (let ((_let_9 (ho_5 _let_8 _let_5))) (let ((_let_10 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_11 (ho_7 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_4))) (let ((_let_14 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx) Xy)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xy) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)))))) (let ((_let_15 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_16 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_17 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_18 (ho_4 _let_17 _let_16))) (let ((_let_19 (ho_5 _let_18 _let_15))) (let ((_let_20 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_21 (ho_7 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_22 (not _let_21))) (let ((_let_23 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 Xy0)))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 Xy0)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_19))) (let ((_let_28 (ho_5 (ho_4 _let_3 _let_5) _let_6))) (let ((_let_29 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Xy0)))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_12 _let_28))) (let ((_let_32 (and _let_31 _let_27))) (let ((_let_33 (not _let_14))) (let ((_let_34 (forall ((Xx tptp.a) (BOUND_VARIABLE_759 tptp.b) (BOUND_VARIABLE_757 tptp.b) (BOUND_VARIABLE_755 tptp.b) (BOUND_VARIABLE_747 tptp.b) (BOUND_VARIABLE_745 tptp.b)) (let ((_let_1 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx))) (let ((_let_2 (ho_4 _let_1 BOUND_VARIABLE_755))) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx) Xx)) (and (or (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_745) BOUND_VARIABLE_747)) (ho_5 (ho_4 _let_1 BOUND_VARIABLE_747) BOUND_VARIABLE_745)) (or (not (ho_5 _let_2 BOUND_VARIABLE_757)) (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_757) BOUND_VARIABLE_759)) (ho_5 _let_2 BOUND_VARIABLE_759))))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx))) (or (not (ho_7 _let_1 Xy)) (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xy) Xz)) (ho_7 _let_1 Xz)))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx) Xy)) (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xy) Xx))))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_35 _let_33 _let_32))) (let ((_let_41 (forall ((BOUND_VARIABLE_936 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_923 |u_(-> tptp.a tptp.b tptp.b Bool)|) (BOUND_VARIABLE_920 |u_(-> tptp.a tptp.b)|) (BOUND_VARIABLE_885 tptp.a) (BOUND_VARIABLE_859 tptp.a) (BOUND_VARIABLE_883 tptp.a) (BOUND_VARIABLE_857 tptp.a) (BOUND_VARIABLE_916 |u_(-> tptp.a tptp.b)|) (BOUND_VARIABLE_971 |u_(-> tptp.a tptp.b)|) (BOUND_VARIABLE_946 |u_(-> tptp.a tptp.b)|) (BOUND_VARIABLE_969 |u_(-> tptp.a tptp.b)|)) (or (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx) Xy)) (ho_7 (ho_6 BOUND_VARIABLE_936 Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_6 BOUND_VARIABLE_936 Xx))) (or (not (ho_7 _let_1 Xy)) (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xy) Xz)) (ho_7 _let_1 Xz))))) (not (forall ((Xx tptp.a) (BOUND_VARIABLE_759 tptp.b) (BOUND_VARIABLE_757 tptp.b) (BOUND_VARIABLE_755 tptp.b) (BOUND_VARIABLE_747 tptp.b) (BOUND_VARIABLE_745 tptp.b)) (let ((_let_1 (ho_3 BOUND_VARIABLE_923 Xx))) (let ((_let_2 (ho_4 _let_1 BOUND_VARIABLE_755))) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx) Xx)) (and (or (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_745) BOUND_VARIABLE_747)) (ho_5 (ho_4 _let_1 BOUND_VARIABLE_747) BOUND_VARIABLE_745)) (or (not (ho_5 _let_2 BOUND_VARIABLE_757)) (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_757) BOUND_VARIABLE_759)) (ho_5 _let_2 BOUND_VARIABLE_759)))))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx) Xy)) (= (ho_3 BOUND_VARIABLE_923 Xy) (ho_3 BOUND_VARIABLE_923 Xx))))) (and (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_923 Xx0) (ho_2 BOUND_VARIABLE_969 Xx0)) (ho_2 BOUND_VARIABLE_971 Xy0))))) (not (ho_7 (ho_6 BOUND_VARIABLE_936 BOUND_VARIABLE_859) BOUND_VARIABLE_857)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_923 BOUND_VARIABLE_859) (ho_2 BOUND_VARIABLE_971 BOUND_VARIABLE_859)) (ho_2 BOUND_VARIABLE_969 BOUND_VARIABLE_857))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_923 Xx0) (ho_2 BOUND_VARIABLE_920 Xx0)) (ho_2 BOUND_VARIABLE_946 Xy0))))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_7 (ho_6 BOUND_VARIABLE_936 Xx0) Xy0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_923 Xx0) (ho_2 BOUND_VARIABLE_946 Xx0)) (ho_2 BOUND_VARIABLE_916 Xy0))))) (not (ho_7 (ho_6 BOUND_VARIABLE_936 BOUND_VARIABLE_885) BOUND_VARIABLE_883)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_923 BOUND_VARIABLE_885) (ho_2 BOUND_VARIABLE_920 BOUND_VARIABLE_885)) (ho_2 BOUND_VARIABLE_916 BOUND_VARIABLE_883)))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (forall ((u |u_(-> 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false _let_111 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 _let_6 _let_6 _let_6 _let_5 _let_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101)) _let_100 :args (_let_124 false _let_34)) :args (_let_121 false _let_122 false _let_124)) :args (_let_118 false _let_121)) :args (_let_117 true _let_28 false _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_7 (not _let_113)))) _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_114) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) Xy0) false))))) :args _let_114)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_57)) :args ((or _let_29 _let_31))) _let_108 :args (_let_29 true _let_31)) :args (_let_113 false _let_29)) :args (_let_7 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_4 (not _let_13)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING _let_62)) :args _let_61))) _let_60 :args (_let_13 false _let_14)) :args (_let_4 false _let_11 false _let_13)) :args (false true _let_9 false _let_7 false _let_4)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.48/0.65 )
% 0.48/0.65 % SZS output end Proof for SEV046^5
% 0.48/0.65 % cvc5---1.0.5 exiting
% 0.48/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------