%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP018_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 03:15:49 EDT 2023

% Result   : Theorem 0.22s 0.58s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : ITP018_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 16:12:49 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.58  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yaSfcgZxUe/cvc5---1.0.5_24604.p...
% 0.22/0.58  ------- get file name : TPTP file name is ITP018_1
% 0.22/0.58  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24604.smt2...
% 0.22/0.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.58  % SZS status Theorem for ITP018_1
% 0.22/0.58  % SZS output start Proof for ITP018_1
% 0.22/0.58  (
% 0.22/0.58  (let ((_let_1 (forall ((A_27t tptp.d) (A_27w tptp.d)) (let ((_let_1 (tptp.s (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod A_27t A_27w)) tptp.c_2Ebool_2Ethe__value_2E0))) (let ((_let_2 (tptp.tyop_2Ebinary__ieee_2Efloat A_27t A_27w))) (= (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 _let_1)))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s _let_2 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 (tptp.s _let_2 (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 _let_1))))))))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0))) (let ((_let_4 (forall ((A_27t tptp.d) (A_27w tptp.d)) (let ((_let_1 (tptp.s (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod A_27t A_27w)) tptp.c_2Ebool_2Ethe__value_2E0))) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 _let_1))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s (tptp.tyop_2Ebinary__ieee_2Efloat A_27t A_27w) (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 _let_1)))))))))) (let ((_let_5 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebinary__ieee_2Efloat A_27a A_27b))) (let ((_let_2 (tptp.s _let_1 V0x_2E0))) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s _let_1 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 _let_2))))) (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 _let_2)))))))))) (let ((_let_6 (tptp.s (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) tptp.c_2Ebool_2Ethe__value_2E0))) (let ((_let_7 (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 _let_6))) (let ((_let_8 (tptp.tyop_2Ebinary__ieee_2Efloat SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.s _let_8 _let_7))) (let ((_let_10 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s _let_8 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 _let_9))))))) (let ((_let_11 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 _let_6))))) (let ((_let_12 (= (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 _let_11) _let_10))) (let ((_let_13 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 _let_9))))) (let ((_let_14 (= _let_10 (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 _let_13)))) (let ((_let_15 (= _let_11 _let_13))) (let ((_let_16 (not _let_12))) (let ((_let_17 (_let_2))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_4))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (and _let_14 _let_15))) (let ((_let_24 (_let_14 _let_15))) (let ((_let_25 (ASSUME :args (_let_14)))) (let ((_let_26 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_23)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_26) (SCOPE (TRANS (CONG (SYMM (SYMM _let_26)) :args (APPLY_UF tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1)) (SYMM _let_25)) :args _let_24)) :args _let_24)) :args (true _let_23)) :args ((or _let_12 (not _let_14) (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.tyop_2Epair_2Eprod A_27t A_27w)))) :args _let_21)) _let_22 :args (_let_15 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 (tptp.s (tptp.tyop_2Ebinary__ieee_2Efloat A_27a A_27b) V0x_2E0))))) :args _let_19)) _let_20 :args (_let_14 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_18) :args _let_17)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_16)) :args (or))) _let_18 :args (_let_16 true _let_1)) :args (false false _let_15 false _let_14 true _let_12)) :args ((forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (=> (forall ((V2x_2E0 tptp.u)) (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 tptp.mono_2Etyop_2Emin_2Ebool) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (=> (= (tptp.p V0_2E0) (tptp.p V1_2E0)) (= V0_2E0 V1_2E0))) _let_3 (not (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (or (= V0t_2E0 tptp.mono_2Ec_2Ebool_2ET_2E0) (= V0t_2E0 tptp.mono_2Ec_2Ebool_2EF_2E0))) (forall ((A_27a tptp.d) (V0x_2E0 tptp.u)) (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 tptp.d) (A_27b tptp.d) (V0x_2E0 tptp.u) (V1y_2E0 tptp.u)) (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 tptp.d) (A_27b tptp.d) (A_27c tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u) (V2x_2E0 tptp.u)) (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 tptp.mono_2Etyop_2Emin_2Ebool) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 V0_2E0 V1_2E0)) (and (tptp.p V0_2E0) (tptp.p V1_2E0)))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 V0_2E0 V1_2E0)) (or (tptp.p V0_2E0) (tptp.p V1_2E0)))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 V0_2E0)) (not (tptp.p V0_2E0)))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 V0_2E0 V1_2E0)) (=> (tptp.p V0_2E0) (tptp.p V1_2E0)))) (forall ((A_27a tptp.d) (V0_2E0 tptp.u) (V1_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V1_2E0))) (let ((_let_2 (tptp.s A_27a V0_2E0))) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 _let_2 _let_1)))) (= _let_2 _let_1))))) (forall ((A_27a tptp.d) (V0f_2E0 tptp.u)) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (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 tptp.u)) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (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 tptp.d) (V0f_2E0 tptp.u)) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (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 tptp.u)) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (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 ((V0_2E0 tptp.u)) (let ((_let_1 (tptp.s tptp.tyop_2Emin_2Ebool V0_2E0))) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool _let_1))) _let_1))) (forall ((V0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 V0_2E0))) (= (tptp.s _let_1 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))) (forall ((V0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (tptp.s _let_1 V0_2E0))) (= (tptp.s _let_1 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 _let_2))) _let_2)))) (forall ((V0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (tptp.s _let_1 V0_2E0))) (= (tptp.s _let_1 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 _let_2))) _let_2)))) (forall ((V0_2E0 tptp.u)) (let ((_let_1 (tptp.s tptp.tyop_2Erealax_2Ereal V0_2E0))) (= (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.j_mono_2Etyop_2Erealax_2Ereal _let_1))) _let_1))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool V0_2E0))) V0_2E0)) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0_2E0))) V0_2E0)) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0_2E0))) V0_2E0)) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0_2E0))) V0_2E0)) (forall ((V0_2E0 tptp.mono_2Etyop_2Erealax_2Ereal)) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal V0_2E0))) V0_2E0)) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (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 ((X0_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (X1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (and (tptp.p X0_2E0) (tptp.p X1_2E0)) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 X0_2E0) X1_2E0)))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (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.j_mono_2Etyop_2Emin_2Ebool (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 ((X0_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (X1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (=> (tptp.p X0_2E0) (tptp.p X1_2E0)) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 X0_2E0) X1_2E0)))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (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 ((X0_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (X1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (or (tptp.p X0_2E0) (tptp.p X1_2E0)) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 X0_2E0) X1_2E0)))) (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebinary__ieee_2Efloat A_27a A_27b))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s _let_1 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 _let_2)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_1) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0) _let_2)))))) (forall ((A_27t tptp.d) (A_27w tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebinary__ieee_2Efloat A_27t A_27w))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s _let_1 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 _let_2)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_1) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0) _let_2)))))) (forall ((A_27t tptp.d) (A_27w tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod A_27t A_27w)))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (let ((_let_3 (tptp.tyop_2Ebinary__ieee_2Efloat A_27t A_27w))) (= (tptp.s _let_3 (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 _let_2)) (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_3) tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E0) _let_2))))))) (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebinary__ieee_2Efloat A_27a A_27b))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 _let_2))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0) _let_2))))))) (forall ((A_27t tptp.d) (A_27w tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebinary__ieee_2Efloat A_27t A_27w))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 _let_2))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0) _let_2))))))) (forall ((X0_2E0 tptp.mono_2Etyop_2Erealax_2Ereal)) (= (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 X0_2E0) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal tptp.mono_2Ec_2Erealax_2Ereal__neg_2E0 X0_2E0))) (forall ((A_27t tptp.d) (A_27w tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod A_27t A_27w)))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 _let_2))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Eulp_2E0) _let_2))))))) (forall ((X0_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (not (tptp.p X0_2E0)) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 X0_2E0)))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool V0_2E0 V1_2E0))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0_2E0)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool V1_2E0)))))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) (V1_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool))) (= (tptp.s _let_1 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0_2E0 V1_2E0))) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool _let_1) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0_2E0)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool V1_2E0))))))) (forall ((V0_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) (V1_2E0 tptp.mono_2Etyop_2Erealax_2Ereal)) (= (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal V0_2E0 V1_2E0))) (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal) (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0_2E0)) (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal V1_2E0)))))) _let_5 _let_4 _let_3 (forall ((A_27a tptp.d) (V0x_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V0x_2E0))) (= (= _let_1 _let_1) (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)))) _let_2 true)))))))))))))))))))))))))))))
% 0.22/0.58  )
% 0.22/0.58  % SZS output end Proof for ITP018_1
% 0.22/0.58  % cvc5---1.0.5 exiting
% 0.22/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------