%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP004+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 03:13:57 EDT 2023

% Result   : Theorem 0.20s 0.58s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP004+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 12:59:28 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Uxxt0O31HU/cvc5---1.0.5_8712.p...
% 0.20/0.58  ------- get file name : TPTP file name is ITP004+1
% 0.20/0.58  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8712.smt2...
% 0.20/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.58  % SZS status Theorem for ITP004+1
% 0.20/0.58  % SZS output start Proof for ITP004+1
% 0.20/0.58  (
% 0.20/0.58  (let ((_let_1 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 V0s_2E0))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 (tptp.s _let_1 (tptp.c_2Epred__set_2EREST_2E1 _let_2)) _let_2)))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 V0s_2E0))) (= (tptp.s _let_1 (tptp.c_2Epred__set_2EREST_2E1 _let_2)) (tptp.s _let_1 (tptp.c_2Epred__set_2EDELETE_2E2 _let_2 (tptp.s A_27a (tptp.c_2Epred__set_2ECHOICE_2E1 _let_2)))))))))) (let ((_let_4 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted) (V1x_2E0 $$unsorted) (V2y_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2y_2E0))) (let ((_let_2 (tptp.s A_27a V1x_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 V0s_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 (tptp.s _let_3 (tptp.c_2Epred__set_2EDELETE_2E2 _let_4 _let_1))))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 _let_4))) (not (= _let_2 _let_1))))))))))) (let ((_let_5 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 (tptp.s _let_1 V0s_2E0) (tptp.s _let_1 V1t_2E0)))) (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s A_27a V2x_2E0))) (=> (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 (tptp.s _let_1 V0s_2E0)))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 (tptp.s _let_1 V1t_2E0))))))))))))) (let ((_let_6 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tyop_2Emin_2Ebool))) (let ((_let_7 (tptp.s _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.c_2Epred__set_2ECHOICE_2E1 _let_7))) (let ((_let_9 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_10 (tptp.s _let_6 (tptp.c_2Epred__set_2EDELETE_2E2 _let_7 _let_9)))) (let ((_let_11 (tptp.c_2Epred__set_2EREST_2E1 _let_7))) (let ((_let_12 (tptp.s _let_6 _let_11))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_15 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_14 _let_12))))) (let ((_let_16 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_14 _let_10))))) (let ((_let_17 (_let_3))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_14 _let_7))))) (let ((_let_20 (not _let_15))) (let ((_let_21 (or _let_20 _let_19))) (let ((_let_22 (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 V2x_2E0))) (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_3 (tptp.s _let_1 (tptp.c_2Epred__set_2EREST_2E1 _let_2)))))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_3 _let_2)))))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 _let_12 _let_7))))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (not _let_22))) (let ((_let_27 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted) (V1t_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 (tptp.s _let_1 V0s_2E0) (tptp.s _let_1 V1t_2E0)))) (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s A_27a V2x_2E0))) (or (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 (tptp.s _let_1 V0s_2E0))))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_2 (tptp.s _let_1 V1t_2E0))))))))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_30 (not _let_24))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (or))) (let ((_let_34 (_let_26))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_25)) :args ((or _let_24 _let_26 (not _let_25)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_30)) :args _let_33)) _let_32 :args (_let_30 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Epred__set_2ESUBSET_2E2 (tptp.s _let_29 V0s_2E0) (tptp.s _let_29 V1t_2E0))))) :args (_let_27))) _let_28 :args (_let_25 false _let_27)) :args (_let_26 true _let_24 false _let_25)) :args (_let_23 true _let_22)))) (let ((_let_36 (and _let_19 (not (= _let_9 _let_14))))) (let ((_let_37 (= _let_16 _let_36))) (let ((_let_38 (not _let_16))) (let ((_let_39 (forall ((A_27a $$unsorted) (V0s_2E0 $$unsorted) (V1x_2E0 $$unsorted) (V2y_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V1x_2E0))) (let ((_let_2 (tptp.s A_27a V2y_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 V0s_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_1 (tptp.s _let_3 (tptp.c_2Epred__set_2EDELETE_2E2 _let_4 _let_2))))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_1 _let_4))) (not (= _let_2 _let_1))))))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_42 (not _let_36))) (let ((_let_43 (ASSUME :args (_let_38)))) (let ((_let_44 (ASSUME :args (_let_13)))) (let ((_let_45 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_44 _let_45) :args (_let_13 _let_15 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_45)) (CONG (CONG (REFL :args (tptp.tyop_2Emin_2Ebool)) (CONG (REFL :args (_let_14)) (SYMM (SYMM _let_44)) :args (APPLY_UF tptp.c_2Ebool_2EIN_2E2)) :args (APPLY_UF tptp.s)) :args (APPLY_UF tptp.p)) (FALSE_INTRO _let_43))) :args (_let_38 _let_13 _let_15)) :args ((not (and _let_13 _let_15 _let_38)) SB_LITERAL))) (CONG (REFL :args ((not _let_13))) (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_16))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_37)) :args ((or _let_36 _let_38 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_19 _let_42))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_35 :args ((not _let_19) true _let_21)) :args (_let_42 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_8 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Ebool_2EIN_2E2 (tptp.s A_27a V1x_2E0) (tptp.s _let_41 (tptp.c_2Epred__set_2EDELETE_2E2 (tptp.s _let_41 V0s_2E0) (tptp.s A_27a V2y_2E0))))))) :args (_let_39))) _let_40 :args (_let_37 false _let_39)) :args (_let_38 true _let_36 false _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_15))) :args _let_33)) :args ((or _let_15 _let_21))) _let_35 :args (_let_15 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Epred__set_2EREST_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0))))) :args _let_17)) _let_18 :args (_let_13 false _let_3)) :args (false true _let_16 false _let_15 false _let_13)) :args ((forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (=> (forall ((V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (= (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V0f_2E0) _let_1)) (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_2 V1g_2E0) _let_1)))))) (= (tptp.s _let_1 V0f_2E0) (tptp.s _let_1 V1g_2E0))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (=> (= (tptp.p _let_2) (tptp.p _let_1)) (= _let_2 _let_1))))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))) (forall ((V0t_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0t_2E0))) (or (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) (= _let_1 (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0))))) (forall ((A_27a $$unsorted) (V0x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27a) tptp.combin_i_2E0) _let_1)) _let_1))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (V0x_2E0 $$unsorted) (V1y_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27b A_27a))) (= (tptp.s A_27a (tptp.app_2E2 (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_2) tptp.combin_k_2E0) _let_1)) (tptp.s A_27b V1y_2E0))) _let_1)))) (forall ((A_27a $$unsorted) (A_27b $$unsorted) (A_27c $$unsorted) (V0f_2E0 $$unsorted) (V1g_2E0 $$unsorted) (V2x_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V2x_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (let ((_let_3 (tptp.s _let_2 V1g_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun A_27b A_27c))) (let ((_let_5 (tptp.tyop_2Emin_2Efun A_27a _let_4))) (let ((_let_6 (tptp.s _let_5 V0f_2E0))) (let ((_let_7 (tptp.tyop_2Emin_2Efun A_27a A_27c))) (let ((_let_8 (tptp.tyop_2Emin_2Efun _let_2 _let_7))) (= (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s _let_8 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_5 _let_8) tptp.combin_s_2E0) _let_6)) _let_3)) _let_1)) (tptp.s A_27c (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 _let_6 _let_1)) (tptp.s A_27b (tptp.app_2E2 _let_3 _let_1)))))))))))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 _let_2 _let_1))) (and (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 _let_2 _let_1))) (or (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((V0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 _let_1))) (not (tptp.p _let_1))))) (forall ((V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 _let_2 _let_1))) (=> (tptp.p _let_2) (tptp.p _let_1)))))) (forall ((A_27a $$unsorted) (V0_2E0 $$unsorted) (V1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a V1_2E0))) (let ((_let_2 (tptp.s A_27a V0_2E0))) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 _let_2 _let_1))) (= _let_2 _let_1))))) (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (forall ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))) (forall ((A_27a $$unsorted) (V0f_2E0 $$unsorted)) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0)))) (exists ((V1x_2E0 $$unsorted)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0f_2E0) (tptp.s A_27a V1x_2E0))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (and (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_2F_5C_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (or (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Ebool_2E_5C_2F_2E0) _let_2)) _let_1)))))))) (forall ((X0_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (= (not (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_7E_2E0) _let_1)))))) (forall ((X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool X1_2E0))) (let ((_let_2 (tptp.s tptp.tyop_2Emin_2Ebool X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (=> (tptp.p _let_2) (tptp.p _let_1)) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_3) tptp.c_2Emin_2E_3D_3D_3E_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a X1_2E0))) (let ((_let_2 (tptp.s A_27a X0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (= (= _let_2 _let_1) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_3) tptp.c_2Emin_2E_3D_2E0) _let_2)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_21_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool) tptp.c_2Ebool_2E_3F_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s _let_1 (tptp.c_2Epred__set_2EREST_2E1 _let_2)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_1) tptp.c_2Epred__set_2EREST_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s A_27a (tptp.c_2Epred__set_2ECHOICE_2E1 _let_2)) (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 A_27a) tptp.c_2Epred__set_2ECHOICE_2E0) _let_2)))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.s A_27a X1_2E0))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (tptp.s _let_2 X0_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun A_27a _let_2))) (= (tptp.s _let_2 (tptp.c_2Epred__set_2EDELETE_2E2 _let_3 _let_1)) (tptp.s _let_2 (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_2 _let_4) tptp.c_2Epred__set_2EDELETE_2E0) _let_3)) _let_1)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.s A_27a X0_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2EIN_2E2 _let_3 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_4) tptp.c_2Ebool_2EIN_2E0) _let_3)) _let_2)))))))) (forall ((A_27a $$unsorted) (X0_2E0 $$unsorted) (X1_2E0 $$unsorted)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.s _let_1 X0_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Epred__set_2ESUBSET_2E2 _let_3 _let_2)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_4 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_4) tptp.c_2Epred__set_2ESUBSET_2E0) _let_3)) _let_2)))))))) _let_5 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58  )
% 0.20/0.58  % SZS output end Proof for ITP004+1
% 0.20/0.58  % cvc5---1.0.5 exiting
% 0.20/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------