TSTP Solution File: SEV123^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV123^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 19:21:37 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV123^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n027.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 04:10:32 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 % File : SEV123^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.49 % Domain : Set Theory (Relations)
% 0.21/0.49 % Problem : TPS problem from SETS-OF-RELNS-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_1077 [Bro09]
% 0.21/0.49
% 0.21/0.49 % Status : Theorem
% 0.21/0.49 % Rating : 0.23 v8.1.0, 0.18 v7.5.0, 0.29 v7.4.0, 0.44 v7.2.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.20 v4.1.0, 0.33 v4.0.0
% 0.21/0.49 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.21/0.49 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.21/0.49 % Maximal formula atoms : 1 ( 1 avg)
% 0.21/0.49 % Number of connectives : 36 ( 0 ~; 0 |; 6 &; 23 @)
% 0.21/0.49 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.21/0.49 % Maximal formula depth : 17 ( 17 avg)
% 0.21/0.49 % Number of types : 2 ( 1 usr)
% 0.21/0.49 % Number of type conns : 18 ( 18 >; 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 : 18 ( 2 ^; 13 !; 3 ?; 18 :)
% 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(cTHM254_B_pme,conjecture,
% 0.21/0.49 ! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
% 0.21/0.49 ( ! [Xp: a > a > $o] :
% 0.21/0.49 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ? [R: a > a > $o] :
% 0.21/0.49 ( ? [Q: a > a > $o] :
% 0.21/0.49 ( ( S @ Q )
% 0.21/0.49 & ( R
% 0.21/0.49 = ( ^ [Xx1: a,Xy1: a] :
% 0.21/0.49 ! [Xp0: a > a > $o] :
% 0.21/0.49 ( ( ! [Xx2: a,Xy2: a] :
% 0.21/0.49 ( ( Q @ Xx2 @ Xy2 )
% 0.21/0.49 => ( Xp0 @ Xx2 @ Xy2 ) )
% 0.21/0.49 & ( PROP @ Xp0 ) )
% 0.21/0.49 => ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
% 0.21/0.49 & ( R @ Xx0 @ Xy0 ) )
% 0.21/0.49 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.49 & ( PROP @ Xp ) )
% 0.21/0.49 => ( Xp @ Xx @ Xy ) )
% 0.21/0.49 => ! [Xp: a > a > $o] :
% 0.21/0.49 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ? [R: a > a > $o] :
% 0.21/0.49 ( ( S @ R )
% 0.21/0.49 & ( R @ Xx0 @ Xy0 ) )
% 0.21/0.49 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.49 & ( PROP @ Xp ) )
% 0.21/0.49 => ( Xp @ Xx @ Xy ) ) ) ).
% 0.21/0.49
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nhLMKYHdKK/cvc5---1.0.5_10932.p...
% 0.21/0.49 (declare-sort $$unsorted 0)
% 0.21/0.49 (declare-sort tptp.a 0)
% 0.21/0.49 (assert (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (S (-> (-> tptp.a tptp.a Bool) Bool)) (Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (exists ((Q (-> tptp.a tptp.a Bool))) (and (@ S Q) (= R (lambda ((Xx1 tptp.a) (Xy1 tptp.a)) (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (=> (@ (@ Q Xx2) Xy2) (@ (@ Xp0 Xx2) Xy2))) (@ PROP Xp0)) (@ (@ Xp0 Xx1) Xy1))))))) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy))) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (@ S R) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy)))))))
% 0.21/0.49 (set-info :filename cvc5---1.0.5_10932)
% 0.21/0.49 (check-sat-assuming ( true ))
% 0.21/0.49 ------- get file name : TPTP file name is SEV123^5
% 0.21/0.49 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10932.smt2...
% 0.21/0.49 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SEV123^5
% 0.21/0.53 % SZS output start Proof for SEV123^5
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (S (-> (-> tptp.a tptp.a Bool) Bool)) (Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (exists ((Q (-> tptp.a tptp.a Bool))) (and (@ S Q) (= R (lambda ((Xx1 tptp.a) (Xy1 tptp.a)) (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (=> (@ (@ Q Xx2) Xy2) (@ (@ Xp0 Xx2) Xy2))) (@ PROP Xp0)) (@ (@ Xp0 Xx1) Xy1))))))) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy))) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (@ S R) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy)))))))) (let ((_let_2 (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_838 |u_(-> tptp.a tptp.a Bool)|)) (or (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0) Xy0) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_838)) (not (ho_3 (ho_2 BOUND_VARIABLE_838 Xx0) Xy0)))))) (let ((_let_3 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_4 (not _let_3))) (let ((_let_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_6 (not _let_5))) (let ((_let_7 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_8 (or _let_7 _let_6 _let_4))) (let ((_let_9 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_2))) (let ((_let_13 (forall ((BOUND_VARIABLE_851 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_856 |u_(-> tptp.a tptp.a Bool)|)) (or (ho_3 (ho_2 BOUND_VARIABLE_851 Xx0) Xy0) (not (forall ((BOUND_VARIABLE_859 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_856 Xx2) Xy2)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx2) Xy2)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_859)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx0) Xy0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_856))))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_851)) (ho_3 (ho_2 BOUND_VARIABLE_851 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_11 _let_9))) (let ((_let_16 (forall ((BOUND_VARIABLE_833 |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (BOUND_VARIABLE_842 |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_823 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((BOUND_VARIABLE_851 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_856 |u_(-> tptp.a tptp.a Bool)|)) (or (ho_3 (ho_2 BOUND_VARIABLE_851 Xx0) Xy0) (not (forall ((BOUND_VARIABLE_859 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_856 Xx2) Xy2)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx2) Xy2)))) (not (ho_4 BOUND_VARIABLE_833 BOUND_VARIABLE_859)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx0) Xy0)))) (not (ho_4 BOUND_VARIABLE_842 BOUND_VARIABLE_856))))) (not (ho_4 BOUND_VARIABLE_833 BOUND_VARIABLE_851)) (ho_3 (ho_2 BOUND_VARIABLE_851 Xx) Xy)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_838 |u_(-> tptp.a tptp.a Bool)|)) (or (ho_3 (ho_2 BOUND_VARIABLE_823 Xx0) Xy0) (not (ho_4 BOUND_VARIABLE_842 BOUND_VARIABLE_838)) (not (ho_3 (ho_2 BOUND_VARIABLE_838 Xx0) Xy0))))) (not (ho_4 BOUND_VARIABLE_833 BOUND_VARIABLE_823)) (ho_3 (ho_2 BOUND_VARIABLE_823 Xx) Xy))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (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_19 (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_20 (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_21 (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_22 (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_23 (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_24 (not _let_16))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (S (-> (-> tptp.a tptp.a Bool) Bool)) (Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_804 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xp (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_737 (-> tptp.a tptp.a Bool))) (or (@ (@ Xp Xx0) Xy0) (not (forall ((Xp0 (-> tptp.a tptp.a Bool))) (or (not (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (@ (@ BOUND_VARIABLE_737 Xx2) Xy2)) (@ (@ Xp0 Xx2) Xy2)))) (not (@ PROP Xp0)) (@ (@ Xp0 Xx0) Xy0)))) (not (@ S BOUND_VARIABLE_737))))) (not (@ PROP Xp)) (@ (@ Xp Xx) Xy)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_777 (-> tptp.a tptp.a Bool))) (or (@ (@ BOUND_VARIABLE_804 Xx0) Xy0) (not (@ S BOUND_VARIABLE_777)) (not (@ (@ BOUND_VARIABLE_777 Xx0) Xy0))))) (not (@ PROP BOUND_VARIABLE_804)) (@ (@ BOUND_VARIABLE_804 Xx) Xy)))) _let_24))))))) (let ((_let_26 (or))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_24))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_16))) (REFL :args (_let_17)) :args _let_26)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_25 (PREPROCESS :args ((and _let_23 _let_22 _let_21 _let_20 _let_19 _let_18)))) :args ((and _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18))) :args (0)) :args (_let_17 true _let_16)))) (let ((_let_28 (REFL :args (_let_15)))) (let ((_let_29 (not _let_8))) (let ((_let_30 (or _let_4 _let_7))) (let ((_let_31 (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 Xx2) Xy2)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx2) Xy2))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_34 (not _let_31))) (let ((_let_35 (or _let_34 _let_11 _let_33))) (let ((_let_36 (forall ((BOUND_VARIABLE_859 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 Xx2) Xy2)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx2) Xy2)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_859)) (ho_3 (ho_2 BOUND_VARIABLE_859 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_33 _let_37 _let_6))) (let ((_let_39 (forall ((Xx0 tptp.a) (Xy0 tptp.a) (BOUND_VARIABLE_856 |u_(-> tptp.a tptp.a Bool)|)) (or (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0) Xy0) (not (forall ((BOUND_VARIABLE_859 |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (or (not (ho_3 (ho_2 BOUND_VARIABLE_856 Xx2) Xy2)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx2) Xy2)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_859)) (ho_3 (ho_2 BOUND_VARIABLE_859 Xx0) Xy0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 BOUND_VARIABLE_856)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (or _let_41 _let_11 _let_9))) (let ((_let_43 (_let_13))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 2)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_26)) :args ((or _let_10 _let_15))) _let_27 :args (_let_10 true _let_15)))) (let ((_let_45 (_let_41))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_11 _let_9 _let_41 (not _let_42)))) _let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_15 3)) _let_27 :args ((not _let_9) true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_851) false))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_26)) :args ((or _let_13 _let_15))) _let_27 :args (_let_13 true _let_15)) :args (_let_42 false _let_13)) :args (_let_41 false _let_10 true _let_9 false _let_42)) :args (_let_40 true _let_39)))) (let ((_let_47 (REFL :args (_let_38)))) (let ((_let_48 (_let_36))) (let ((_let_49 (_let_34))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_31))) (REFL :args (_let_32)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_11 _let_33 _let_34 (not _let_35)))) _let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 0)) _let_46 :args ((not _let_33) true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 BOUND_VARIABLE_859) false))))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_26)) :args ((or _let_36 _let_38))) _let_46 :args (_let_36 true _let_38)) :args (_let_35 false _let_36)) :args (_let_34 false _let_10 true _let_33 false _let_35)) :args (_let_32 true _let_31)))) (let ((_let_51 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_6 _let_4 _let_7 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 2)) (CONG _let_47 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_26)) :args ((or _let_5 _let_38))) _let_46 :args (_let_5 true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG (REFL :args (_let_30)) (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_26)) :args ((or _let_3 _let_30))) _let_50 :args (_let_3 true _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 1)) _let_50 :args ((not _let_7) true _let_30)) :args (_let_29 false _let_5 false _let_3 true _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_2))) :args _let_26)) :args ((or _let_2 _let_15))) _let_27 :args (_let_2 true _let_15)) :args (false true _let_8 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SEV123^5
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------