TSTP Solution File: SEV127^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV127^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 19:21:38 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV127^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.19/0.35 % Computer : n014.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Thu Aug 24 03:24:49 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.54 %------------------------------------------------------------------------------
% 0.21/0.54 % File : SEV127^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.54 % Domain : Set Theory (Relations)
% 0.21/0.54 % Problem : TPS problem from SETS-OF-RELNS-THMS
% 0.21/0.54 % Version : Especial.
% 0.21/0.54 % English :
% 0.21/0.54
% 0.21/0.54 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.54 % Source : [Bro09]
% 0.21/0.54 % Names : tps_1092 [Bro09]
% 0.21/0.54
% 0.21/0.54 % Status : Theorem
% 0.21/0.54 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.1.0, 0.33 v4.0.0
% 0.21/0.54 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.21/0.54 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.21/0.54 % Maximal formula atoms : 0 ( 0 avg)
% 0.21/0.54 % Number of connectives : 43 ( 0 ~; 2 |; 4 &; 28 @)
% 0.21/0.54 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.21/0.54 % Maximal formula depth : 22 ( 22 avg)
% 0.21/0.54 % Number of types : 2 ( 1 usr)
% 0.21/0.54 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.21/0.54 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.21/0.54 % Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% 0.21/0.54 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.54
% 0.21/0.54 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.54 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.54 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.54 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.54 %------------------------------------------------------------------------------
% 0.21/0.54 thf(a_type,type,
% 0.21/0.54 a: $tType ).
% 0.21/0.54
% 0.21/0.54 thf(cTHM252A_pme,conjecture,
% 0.21/0.54 ! [P: ( a > a > $o ) > $o,R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
% 0.21/0.54 ( ! [Xp: a > a > $o] :
% 0.21/0.54 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.54 ( ( ! [Xp0: a > a > $o] :
% 0.21/0.54 ( ( ! [Xx1: a,Xy1: a] :
% 0.21/0.54 ( ( R @ Xx1 @ Xy1 )
% 0.21/0.54 => ( Xp0 @ Xx1 @ Xy1 ) )
% 0.21/0.54 & ( P @ Xp0 ) )
% 0.21/0.54 => ( Xp0 @ Xx0 @ Xy0 ) )
% 0.21/0.54 | ! [Xp0: a > a > $o] :
% 0.21/0.54 ( ( ! [Xx1: a,Xy1: a] :
% 0.21/0.54 ( ( S @ Xx1 @ Xy1 )
% 0.21/0.54 => ( Xp0 @ Xx1 @ Xy1 ) )
% 0.21/0.54 & ( P @ Xp0 ) )
% 0.21/0.54 => ( Xp0 @ Xx0 @ Xy0 ) ) )
% 0.21/0.54 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.54 & ( P @ Xp ) )
% 0.21/0.54 => ( Xp @ Xx @ Xy ) )
% 0.21/0.54 => ! [Xp: a > a > $o] :
% 0.21/0.54 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.54 ( ( ( R @ Xx0 @ Xy0 )
% 0.21/0.54 | ( S @ Xx0 @ Xy0 ) )
% 0.21/0.54 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.54 & ( P @ Xp ) )
% 0.21/0.54 => ( Xp @ Xx @ Xy ) ) ) ).
% 0.21/0.54
% 0.21/0.54 %------------------------------------------------------------------------------
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.n0KmRkdcEk/cvc5---1.0.5_28415.p...
% 0.21/0.54 (declare-sort $$unsorted 0)
% 0.21/0.54 (declare-sort tptp.a 0)
% 0.21/0.54 (assert (not (forall ((P (-> (-> tptp.a tptp.a Bool) Bool)) (R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool)) (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))) (@ P 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))) (@ P Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (@ (@ Xp Xx0) Xy0))) (@ P Xp)) (@ (@ Xp Xx) Xy))) (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))) (@ P Xp)) (@ (@ Xp Xx) Xy)))))))
% 0.21/0.54 (set-info :filename cvc5---1.0.5_28415)
% 0.21/0.54 (check-sat-assuming ( true ))
% 0.21/0.54 ------- get file name : TPTP file name is SEV127^5
% 0.21/0.54 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28415.smt2...
% 0.21/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SEV127^5
% 0.21/0.54 % SZS output start Proof for SEV127^5
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (forall ((P (-> (-> tptp.a tptp.a Bool) Bool)) (R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool)) (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))) (@ P 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))) (@ P Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (@ (@ Xp Xx0) Xy0))) (@ P Xp)) (@ (@ Xp Xx) Xy))) (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))) (@ P Xp)) (@ (@ Xp Xx) Xy)))))))) (let ((_let_2 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_3 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23))) (let ((_let_4 (not _let_3))) (let ((_let_5 (and (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) _let_4))) (let ((_let_6 (or _let_5 _let_2))) (let ((_let_7 (or _let_4 _let_2))) (let ((_let_8 (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx1) Xy1)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx1) Xy1))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_11 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_8))) (let ((_let_14 (or _let_13 _let_12 _let_10))) (let ((_let_15 (forall ((BOUND_VARIABLE_773 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_773)) (ho_3 (ho_2 BOUND_VARIABLE_773 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((BOUND_VARIABLE_790 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_790)) (ho_3 (ho_2 BOUND_VARIABLE_790 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))))) (let ((_let_18 (not _let_17))) (let ((_let_19 (and _let_18 _let_16))) (let ((_let_20 (or _let_19 _let_10))) (let ((_let_21 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_790 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_790)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx0) Xy0)))) (not (forall ((BOUND_VARIABLE_773 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_773)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx0) Xy0))))) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0) Xy0))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_24 (not _let_21))) (let ((_let_25 (or _let_24 _let_12 _let_23))) (let ((_let_26 (forall ((BOUND_VARIABLE_766 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_790 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_790)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx0) Xy0)))) (not (forall ((BOUND_VARIABLE_773 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx1) Xy1)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_773)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx0) Xy0))))) (ho_3 (ho_2 BOUND_VARIABLE_766 Xx0) Xy0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_766)) (ho_3 (ho_2 BOUND_VARIABLE_766 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_27 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx0) Xy0)) (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0) Xy0))) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0) Xy0))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (or _let_29 _let_28 _let_12 _let_23))) (let ((_let_31 (forall ((BOUND_VARIABLE_747 |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (BOUND_VARIABLE_758 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_754 |u_(-> tptp.a tptp.a Bool)|) (Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_737 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((BOUND_VARIABLE_766 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_790 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_758 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx1) Xy1)))) (not (ho_4 BOUND_VARIABLE_747 BOUND_VARIABLE_790)) (ho_3 (ho_2 BOUND_VARIABLE_790 Xx0) Xy0)))) (not (forall ((BOUND_VARIABLE_773 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_754 Xx1) Xy1)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx1) Xy1)))) (not (ho_4 BOUND_VARIABLE_747 BOUND_VARIABLE_773)) (ho_3 (ho_2 BOUND_VARIABLE_773 Xx0) Xy0))))) (ho_3 (ho_2 BOUND_VARIABLE_766 Xx0) Xy0)))) (not (ho_4 BOUND_VARIABLE_747 BOUND_VARIABLE_766)) (ho_3 (ho_2 BOUND_VARIABLE_766 Xx) Xy)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (ho_3 (ho_2 BOUND_VARIABLE_758 Xx0) Xy0)) (not (ho_3 (ho_2 BOUND_VARIABLE_754 Xx0) Xy0))) (ho_3 (ho_2 BOUND_VARIABLE_737 Xx0) Xy0)))) (not (ho_4 BOUND_VARIABLE_747 BOUND_VARIABLE_737)) (ho_3 (ho_2 BOUND_VARIABLE_737 Xx) Xy))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_34 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_35 (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_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_36 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_37 (forall ((u |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.a tptp.a Bool)|)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_38 (forall ((x |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_39 (not _let_31))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((P (-> (-> tptp.a tptp.a Bool) Bool)) (R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_718 (-> tptp.a tptp.a Bool))) (or (not (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 (@ (@ R Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ P Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (@ (@ S Xx1) Xy1)) (@ (@ Xp0 Xx1) Xy1)))) (not (@ P Xp0)) (@ (@ Xp0 Xx0) Xy0))))) (@ (@ Xp Xx0) Xy0)))) (not (@ P Xp)) (@ (@ Xp Xx) Xy)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (and (not (@ (@ R Xx0) Xy0)) (not (@ (@ S Xx0) Xy0))) (@ (@ BOUND_VARIABLE_718 Xx0) Xy0)))) (not (@ P BOUND_VARIABLE_718)) (@ (@ BOUND_VARIABLE_718 Xx) Xy)))) _let_39))))))) (let ((_let_41 (or))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_31))) (REFL :args (_let_32)) :args _let_41)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_40 (PREPROCESS :args ((and _let_38 _let_37 _let_36 _let_35 _let_34 _let_33)))) :args ((and _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33))) :args (0)) :args (_let_32 true _let_31)))) (let ((_let_43 (REFL :args (_let_30)))) (let ((_let_44 (_let_26))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_41)) :args ((or _let_11 _let_30))) _let_42 :args (_let_11 true _let_30)))) (let ((_let_46 (_let_24))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args (_let_22)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_12 _let_23 _let_24 (not _let_25)))) _let_45 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 3)) _let_42 :args ((not _let_23) true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_766) false))))) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_26))) :args _let_41)) :args ((or _let_26 _let_30))) _let_42 :args (_let_26 true _let_30)) :args (_let_25 false _let_26)) :args (_let_24 false _let_11 true _let_23 false _let_25)) :args (_let_22 true _let_21)))) (let ((_let_48 (forall ((Xx1 tptp.a) (Xy1 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Xx1) Xy1)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx1) Xy1))))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_12 _let_10))) (let ((_let_51 (not _let_50))) (let ((_let_52 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_53 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (and _let_54 (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_57 (or _let_56 _let_52))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_41)) :args ((or _let_27 _let_30))) _let_42 :args (_let_27 true _let_30)))) (let ((_let_59 (_let_27))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (_let_49))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 1)) _let_47 :args ((not _let_10) true _let_20)))) (let ((_let_63 (_let_17))) (let ((_let_64 (_let_19))) (let ((_let_65 (_let_15))) (let ((_let_66 (_let_13))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_8))) (REFL :args (_let_9)) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_12 _let_10 _let_13 (not _let_14)))) _let_45 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_773) false))))) :args _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_64) (CONG (REFL :args _let_64) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_41)) :args ((or _let_17 _let_15 _let_19))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_63) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_790) false))))) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_12 _let_10 _let_49 _let_51))) _let_45 _let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_48))) (REFL :args ((not _let_55))) :args _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_52 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_57 false _let_27)) (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_54 (not _let_56)))) (CNF_OR_NEG :args (_let_55 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_41)) :args ((or _let_53 _let_55))) :args (_let_55 false _let_57 true _let_56 true _let_52 false _let_53)) :args (_let_48 false _let_55)) :args (_let_51 false _let_11 true _let_10 false _let_48)) :args (_let_18 true _let_50)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 0)) _let_47 :args ((not _let_19) true _let_20)) :args (_let_15 true _let_17 true _let_19)) :args (_let_14 false _let_15)) :args (_let_13 false _let_11 true _let_10 false _let_14)) :args (_let_9 true _let_8)))) (let ((_let_68 (not _let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_2 _let_5 (not _let_6)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_6 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_5 1)) :args ((or _let_4 _let_68))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_7 0)) (CONG (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_41)) :args ((or _let_3 _let_7))) _let_67 :args (_let_3 true _let_7)) :args (_let_68 false _let_3)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_7 1)) _let_67 :args ((not _let_2) true _let_7)) :args (false false _let_6 true _let_5 true _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SEV127^5
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------