TSTP Solution File: SEV136^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV136^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 19:21:40 EDT 2023
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV136^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 03:09:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.46 %----Proving TH0
% 0.18/0.51 %------------------------------------------------------------------------------
% 0.18/0.51 % File : SEV136^5 : TPTP v8.1.2. Released v4.0.0.
% 0.18/0.51 % Domain : Set Theory (Relations)
% 0.18/0.51 % Problem : TPS problem THM203
% 0.18/0.51 % Version : Especial.
% 0.18/0.51 % English : B&B-P's defn of TRCL is the minimal transitive reflexive
% 0.18/0.51 % relation containing r.
% 0.18/0.51
% 0.18/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.51 % Source : [Bro09]
% 0.18/0.51 % Names : tps_0426 [Bro09]
% 0.18/0.51 % : THM203 [TPS]
% 0.18/0.51
% 0.18/0.51 % Status : Theorem
% 0.18/0.51 % 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 v4.0.1, 0.33 v4.0.0
% 0.18/0.51 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.18/0.51 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.18/0.51 % Maximal formula atoms : 0 ( 0 avg)
% 0.18/0.51 % Number of connectives : 37 ( 0 ~; 0 |; 4 &; 26 @)
% 0.18/0.51 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 0.18/0.51 % Maximal formula depth : 15 ( 15 avg)
% 0.18/0.51 % Number of types : 2 ( 1 usr)
% 0.18/0.51 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.18/0.51 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.51 % Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% 0.18/0.51 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.51
% 0.18/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.51 % : Polymorphic definitions expanded.
% 0.18/0.51 %------------------------------------------------------------------------------
% 0.18/0.51 thf(a_type,type,
% 0.18/0.51 a: $tType ).
% 0.18/0.51
% 0.18/0.51 thf(cTHM203_pme,conjecture,
% 0.18/0.51 ! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
% 0.18/0.51 ( ( ! [Xx: a] : ( T @ Xr @ Xx @ Xx )
% 0.18/0.51 & ! [Xx: a,Xy: a,Xz: a] :
% 0.18/0.51 ( ( ( T @ Xr @ Xx @ Xy )
% 0.18/0.51 & ( T @ Xr @ Xy @ Xz ) )
% 0.18/0.51 => ( T @ Xr @ Xx @ Xz ) )
% 0.18/0.51 & ! [Xx: a,Xy: a] :
% 0.18/0.51 ( ( Xr @ Xx @ Xy )
% 0.18/0.51 => ( T @ Xr @ Xx @ Xy ) ) )
% 0.18/0.51 => ! [Xx: a,Xy: a] :
% 0.18/0.51 ( ! [Xx0: a > $o] :
% 0.18/0.51 ( ! [Xy0: a,Xz: a] :
% 0.18/0.51 ( ( ( Xr @ Xy0 @ Xz )
% 0.18/0.51 & ( Xx0 @ Xy0 ) )
% 0.18/0.51 => ( Xx0 @ Xz ) )
% 0.18/0.51 => ( ( Xx0 @ Xx )
% 0.18/0.51 => ( Xx0 @ Xy ) ) )
% 0.18/0.51 => ( T @ Xr @ Xx @ Xy ) ) ) ).
% 0.18/0.51
% 0.18/0.51 %------------------------------------------------------------------------------
% 0.18/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0DHUouC6q2/cvc5---1.0.5_23071.p...
% 0.18/0.51 (declare-sort $$unsorted 0)
% 0.18/0.51 (declare-sort tptp.a 0)
% 0.18/0.51 (assert (not (forall ((Xr (-> tptp.a tptp.a Bool)) (T (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (@ (@ (@ T Xr) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ T Xr))) (let ((_let_2 (@ _let_1 Xx))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xr Xx) Xy) (@ (@ (@ T Xr) Xx) Xy)))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xx0 (-> tptp.a Bool))) (=> (forall ((Xy0 tptp.a) (Xz tptp.a)) (=> (and (@ (@ Xr Xy0) Xz) (@ Xx0 Xy0)) (@ Xx0 Xz))) (=> (@ Xx0 Xx) (@ Xx0 Xy)))) (@ (@ (@ T Xr) Xx) Xy)))))))
% 0.18/0.51 (set-info :filename cvc5---1.0.5_23071)
% 0.18/0.51 (check-sat-assuming ( true ))
% 0.18/0.51 ------- get file name : TPTP file name is SEV136^5
% 0.18/0.51 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23071.smt2...
% 0.18/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.18/0.51 % SZS status Theorem for SEV136^5
% 0.18/0.51 % SZS output start Proof for SEV136^5
% 0.18/0.51 (
% 0.18/0.51 (let ((_let_1 (not (forall ((Xr (-> tptp.a tptp.a Bool)) (T (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (@ (@ (@ T Xr) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ T Xr))) (let ((_let_2 (@ _let_1 Xx))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xr Xx) Xy) (@ (@ (@ T Xr) Xx) Xy)))) (forall ((Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xx0 (-> tptp.a Bool))) (=> (forall ((Xy0 tptp.a) (Xz tptp.a)) (=> (and (@ (@ Xr Xy0) Xz) (@ Xx0 Xy0)) (@ Xx0 Xz))) (=> (@ Xx0 Xx) (@ Xx0 Xy)))) (@ (@ (@ T Xr) Xx) Xy)))))))) (let ((_let_2 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_2 (ho_2 _let_1 Xx))) (or (not (ho_4 _let_2 Xy)) (not (ho_4 (ho_2 _let_1 Xy) Xz)) (ho_4 _let_2 Xz))))))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_5 (ho_4 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_6 (ho_4 (ho_2 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_7 (not _let_6))) (let ((_let_8 (ho_4 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7 _let_5))) (let ((_let_11 (ho_4 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_12 (forall ((BOUND_VARIABLE_706 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xy0 tptp.a) (Xz tptp.a)) (or (not (ho_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy0) Xz)) (not (ho_4 BOUND_VARIABLE_706 Xy0)) (ho_4 BOUND_VARIABLE_706 Xz)))) (not (ho_4 BOUND_VARIABLE_706 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (ho_4 BOUND_VARIABLE_706 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx) Xy)) (ho_4 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Xx) Xy))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_2))) (let ((_let_17 (forall ((Xx tptp.a)) (ho_4 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Xx) Xx)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_15 _let_13 _let_11))) (let ((_let_20 (forall ((BOUND_VARIABLE_692 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_698 |u_(-> _u_(-> tptp.a tptp.a Bool)_ tptp.a tptp.a Bool)|) (BOUND_VARIABLE_674 tptp.a) (BOUND_VARIABLE_672 tptp.a)) (or (not (forall ((Xx tptp.a)) (ho_4 (ho_2 (ho_3 BOUND_VARIABLE_698 BOUND_VARIABLE_692) Xx) Xx))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_3 BOUND_VARIABLE_698 BOUND_VARIABLE_692))) (let ((_let_2 (ho_2 _let_1 Xx))) (or (not (ho_4 _let_2 Xy)) (not (ho_4 (ho_2 _let_1 Xy) Xz)) (ho_4 _let_2 Xz)))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_4 (ho_2 BOUND_VARIABLE_692 Xx) Xy)) (ho_4 (ho_2 (ho_3 BOUND_VARIABLE_698 BOUND_VARIABLE_692) Xx) Xy)))) (not (forall ((BOUND_VARIABLE_706 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xy0 tptp.a) (Xz tptp.a)) (or (not (ho_4 (ho_2 BOUND_VARIABLE_692 Xy0) Xz)) (not (ho_4 BOUND_VARIABLE_706 Xy0)) (ho_4 BOUND_VARIABLE_706 Xz)))) (not (ho_4 BOUND_VARIABLE_706 BOUND_VARIABLE_672)) (ho_4 BOUND_VARIABLE_706 BOUND_VARIABLE_674)))) (ho_4 (ho_2 (ho_3 BOUND_VARIABLE_698 BOUND_VARIABLE_692) BOUND_VARIABLE_672) BOUND_VARIABLE_674))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_23 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_24 (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_25 (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_26 (forall ((u |u_(-> _u_(-> tptp.a tptp.a Bool)_ tptp.a tptp.a Bool)|) (e |u_(-> tptp.a tptp.a Bool)|) (i |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a Bool)_ tptp.a tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a tptp.a Bool)|)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_27 (forall ((x |u_(-> _u_(-> tptp.a tptp.a Bool)_ tptp.a tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a tptp.a Bool)_ tptp.a tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_28 (not _let_20))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xr (-> tptp.a tptp.a Bool)) (T (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool)) (BOUND_VARIABLE_674 tptp.a) (BOUND_VARIABLE_672 tptp.a)) (or (not (forall ((Xx tptp.a)) (@ (@ (@ T Xr) Xx) Xx))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ T Xr))) (let ((_let_2 (@ _let_1 Xx))) (or (not (@ _let_2 Xy)) (not (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz)))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xr Xx) Xy)) (@ (@ (@ T Xr) Xx) Xy)))) (not (forall ((Xx0 (-> tptp.a Bool))) (or (not (forall ((Xy0 tptp.a) (Xz tptp.a)) (or (not (@ (@ Xr Xy0) Xz)) (not (@ Xx0 Xy0)) (@ Xx0 Xz)))) (not (@ Xx0 BOUND_VARIABLE_672)) (@ Xx0 BOUND_VARIABLE_674)))) (@ (@ (@ T Xr) BOUND_VARIABLE_672) BOUND_VARIABLE_674)))) _let_28))))))) (let ((_let_30 (or))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_20))) (REFL :args (_let_21)) :args _let_30)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_29 (PREPROCESS :args ((and _let_27 _let_26 _let_25 _let_24 _let_23 _let_22)))) :args ((and _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22))) :args (0)) :args (_let_21 true _let_20)))) (let ((_let_32 (REFL :args (_let_19)))) (let ((_let_33 (not _let_10))) (let ((_let_34 (ho_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_6))) (let ((_let_37 (_let_14))) (let ((_let_38 (or _let_35 _let_9 _let_5))) (let ((_let_39 (forall ((Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (or (not (ho_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy0) Xz)) (not (ho_4 _let_1 Xy0)) (ho_4 _let_1 Xz)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (ho_4 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_39))) (let ((_let_44 (or _let_43 _let_42 _let_11))) (let ((_let_45 (_let_12))) (let ((_let_46 (_let_17))) (let ((_let_47 (_let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_39))) (REFL :args (_let_40)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_11 _let_43 _let_42 (not _let_44)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_19 4)) _let_31 :args ((not _let_11) true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_2 _let_3 Xx)))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_30)) :args ((or _let_17 _let_19))) _let_31 :args (_let_17 true _let_19)) :args (_let_41 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_4 BOUND_VARIABLE_706 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) true))))) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 3)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_30)) :args ((or _let_12 _let_19))) _let_31 :args (_let_12 true _let_19)) :args (_let_44 false _let_12)) :args (_let_43 true _let_11 false _let_41 false _let_44)) :args (_let_40 true _let_39)))) (let ((_let_49 (REFL :args (_let_38)))) (let ((_let_50 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_5 _let_7 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_30)) :args ((or _let_8 _let_38))) _let_48 :args (_let_8 true _let_38)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 2)) _let_48 :args ((not _let_5) true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_6 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_38 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_30)) :args ((or _let_34 _let_38))) _let_48 :args (_let_34 true _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx) Xy) false))))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_30)) :args ((or _let_14 _let_19))) _let_31 :args (_let_14 true _let_19)) :args (_let_36 false _let_14)) :args (_let_6 false _let_34 false _let_36)) :args (_let_33 false _let_8 true _let_5 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_2))) :args _let_30)) :args ((or _let_2 _let_19))) _let_31 :args (_let_2 true _let_19)) :args (false true _let_10 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.51 )
% 0.18/0.51 % SZS output end Proof for SEV136^5
% 0.18/0.52 % cvc5---1.0.5 exiting
% 0.18/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------