%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.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 03:14:39 EDT 2023

% Result   : Theorem 30.52s 30.91s
% Output   : Proof 30.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : ITP011_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun Aug 27 16:00:06 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  %----Proving TF0_NAR, FOF, or CNF
% 30.52/30.91  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JNAwW03i7D/cvc5---1.0.5_13418.p...
% 30.52/30.91  ------- get file name : TPTP file name is ITP011_1
% 30.52/30.91  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13418.smt2...
% 30.52/30.91  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 30.52/30.91  --- Run --no-e-matching --full-saturate-quant at 5...
% 30.52/30.91  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 30.52/30.91  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 30.52/30.91  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.52/30.91  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 30.52/30.91  % SZS status Theorem for ITP011_1
% 30.52/30.91  % SZS output start Proof for ITP011_1
% 30.52/30.91  (
% 30.52/30.91  (let ((_let_1 (not (forall ((A_27a tptp.d) (V0y_2E0 tptp.u) (V1x_2E0 tptp.u) (V2R_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V0y_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 (tptp.tyop_2Emin_2Efun A_27a _let_3) V2R_2E0))) (let ((_let_5 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_6 (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) (let ((_let_7 (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_2)))) (let ((_let_8 (tptp.s _let_5 tptp.c_2Eoption_2ENONE_2E0))) (and (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_4 _let_8 _let_8))) tptp.mono_2Ec_2Ebool_2ET_2E0) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_4 _let_7 _let_8))) tptp.mono_2Ec_2Ebool_2EF_2E0) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_4 _let_8 _let_6))) tptp.mono_2Ec_2Ebool_2EF_2E0) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_4 _let_7 _let_6))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 _let_4 _let_2)) _let_1))))))))))))))))) (let ((_let_2 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0R_2E0 tptp.u) (V1x_2E0 tptp.u) (V2y_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_2 (tptp.s _let_1 V2y_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_4 (tptp.s _let_3 V1x_2E0))) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool)) V0R_2E0) _let_4 _let_2)))) (or (and (= _let_4 (tptp.s _let_3 tptp.c_2Eoption_2ENONE_2E0)) (= _let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0))) (exists ((V3x0_2E0 tptp.u) (V4y0_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27b V4y0_2E0))) (let ((_let_2 (tptp.s A_27a V3x0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_5 (tptp.tyop_2Eoption_2Eoption A_27a))) (and (= (tptp.s _let_5 V1x_2E0) (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_2))) (= (tptp.s _let_4 V2y_2E0) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _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) V0R_2E0) _let_2)) _let_1)))))))))))))))))))) (let ((_let_3 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u) (V1e_2E0 tptp.u) (V2e_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0))) (and (forall ((V3x_2E0 tptp.u) (V4y_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V4y_2E0))) (let ((_let_2 (tptp.s A_27a V3x_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption A_27a))) (= (= (tptp.s _let_3 (tptp.c_2Eoption_2ESOME_2E1 _let_2)) (tptp.s _let_3 (tptp.c_2Eoption_2ESOME_2E1 _let_1))) (= _let_2 _let_1)))))) (forall ((V5x_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V5x_2E0))) (= (tptp.s A_27a (tptp.c_2Eoption_2ETHE_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) _let_1))) (forall ((V6x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (not (= (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0) (tptp.s _let_1 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s A_27a V6x_2E0))))))) (forall ((V7x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (not (= (tptp.s _let_1 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s A_27a V7x_2E0))) (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0))))) (forall ((V8x_2E0 tptp.u)) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) (tptp.c_2Eoption_2ESOME_2E1 (tptp.s A_27a V8x_2E0)))))) tptp.mono_2Ec_2Ebool_2ET_2E0)) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 _let_2))) tptp.mono_2Ec_2Ebool_2EF_2E0) (forall ((V9x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V9x_2E0))) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 _let_2)))) (= _let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0)))))) (forall ((V10x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V10x_2E0))) (= (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 _let_2))))) (= _let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0)))))) (forall ((V11x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V11x_2E0))) (=> (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 _let_2)))) (= (tptp.s _let_1 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s A_27a (tptp.c_2Eoption_2ETHE_2E1 _let_2)))) _let_2))))) (forall ((V12x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V12x_2E0))) (= (tptp.s _let_1 (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_1) tptp.c_2Eoption_2ESOME_2E0))) _let_2)))) (forall ((V13x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V13x_2E0))) (= (tptp.s _let_1 (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_2 _let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_1) tptp.c_2Eoption_2ESOME_2E0))) _let_2)))) (forall ((V14x_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27b V2e_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) V14x_2E0))) (=> (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 _let_2)))) (= (tptp.s A_27b (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_2 _let_1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V0f_2E0))) _let_1))))) (forall ((V15x_2E0 tptp.u)) (let ((_let_1 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) V15x_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V0f_2E0))) (=> (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 _let_1)))) (= (tptp.s A_27b (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_1 (tptp.s A_27b V2e_2E0) _let_2)) (tptp.s A_27b (tptp.app_2E2 _let_2 (tptp.s A_27a (tptp.c_2Eoption_2ETHE_2E1 _let_1))))))))) (forall ((V16x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V16x_2E0))) (=> (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 _let_2)))) (= (tptp.s _let_1 (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_2 (tptp.s _let_1 V1e_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_1) tptp.c_2Eoption_2ESOME_2E0))) _let_2))))) (forall ((V17v_2E0 tptp.u) (V18f_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27b V17v_2E0))) (= (tptp.s A_27b (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) tptp.c_2Eoption_2ENONE_2E0) _let_1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V18f_2E0))) _let_1))) (forall ((V19x_2E0 tptp.u) (V20v_2E0 tptp.u) (V21f_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V19x_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V21f_2E0))) (= (tptp.s A_27b (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) (tptp.c_2Eoption_2ESOME_2E1 _let_1)) (tptp.s A_27b V20v_2E0) _let_2)) (tptp.s A_27b (tptp.app_2E2 _let_2 _let_1)))))) (forall ((V22f_2E0 tptp.u) (V23x_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a V23x_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V22f_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption A_27b))) (= (tptp.s _let_3 (tptp.c_2Eoption_2EOPTION__MAP_2E2 _let_2 (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) (tptp.s _let_3 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s A_27b (tptp.app_2E2 _let_2 _let_1))))))))) (forall ((V24f_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27b))) (= (tptp.s _let_1 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a A_27b) V24f_2E0) (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) tptp.c_2Eoption_2ENONE_2E0))) (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0)))) (= (tptp.s _let_1 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption _let_1) tptp.c_2Eoption_2ENONE_2E0))) _let_2) (forall ((V25x_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 V25x_2E0))) (= (tptp.s _let_1 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption _let_1) (tptp.c_2Eoption_2ESOME_2E1 _let_2)))) _let_2)))))))))) (let ((_let_4 (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0))) (let ((_let_5 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_6 (not _let_5))) (let ((_let_7 (not _let_4))) (let ((_let_8 (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X2_2E0))) (let ((_let_3 (tptp.s _let_1 X1_2E0))) (let ((_let_4 (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool)))) (let ((_let_5 (tptp.s _let_4 X0_2E0))) (let ((_let_6 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_7 (tptp.tyop_2Emin_2Efun _let_1 _let_6))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_5 _let_3 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_6 (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_4 _let_7) tptp.c_2Eoption_2EOPTREL_2E0) _let_5)) _let_3)) _let_2)))))))))))))) (let ((_let_9 (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))))) (let ((_let_10 (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 ((_let_11 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_12 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_13 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.tyop_2Emin_2Ebool))) (let ((_let_14 (tptp.s (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_15 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_13 (tptp.app_2E2 _let_14 _let_12)) _let_11))))) (let ((_let_16 (= tptp.mono_2Ec_2Ebool_2ET_2E0 _let_15))) (let ((_let_17 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_18 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_19 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_13 (tptp.app_2E2 _let_14 _let_18)) _let_17))))) (let ((_let_20 (= tptp.mono_2Ec_2Ebool_2ET_2E0 _let_19))) (let ((_let_21 (= _let_12 _let_18))) (let ((_let_22 (= _let_11 _let_17))) (let ((_let_23 (tptp.s (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.c_2Eoption_2ENONE_2E0))) (let ((_let_24 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.tyop_2Emin_2Ebool)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_23 _let_23))))) (let ((_let_25 (= tptp.mono_2Ec_2Ebool_2ET_2E0 _let_24))) (let ((_let_26 (tptp.c_2Eoption_2ESOME_2E1 _let_11))) (let ((_let_27 (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_28 (tptp.s _let_27 _let_26))) (let ((_let_29 (tptp.c_2Eoption_2ESOME_2E1 _let_12))) (let ((_let_30 (tptp.s _let_27 _let_29))) (let ((_let_31 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_14 _let_30 _let_28))))) (let ((_let_32 (= _let_31 _let_15))) (let ((_let_33 (= tptp.mono_2Ec_2Ebool_2ET_2E0 _let_31))) (let ((_let_34 (= tptp.mono_2Ec_2Ebool_2EF_2E0 _let_31))) (let ((_let_35 (or _let_33 _let_34))) (let ((_let_36 (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_37 (tptp.s _let_36 tptp.c_2Eoption_2ENONE_2E0))) (let ((_let_38 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_39 (tptp.s _let_36 _let_38))) (let ((_let_40 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.tyop_2Emin_2Ebool))) (let ((_let_41 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_40))) (let ((_let_42 (tptp.s _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_43 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_42 _let_39 _let_37))))) (let ((_let_44 (tptp.p _let_43))) (let ((_let_45 (= tptp.mono_2Ec_2Ebool_2EF_2E0 _let_43))) (let ((_let_46 (tptp.p _let_31))) (let ((_let_47 (forall ((V3x0_2E0 tptp.u) (V4y0_2E0 tptp.u)) (let ((_let_1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 V4y0_2E0))) (let ((_let_2 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 V3x0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (or (not (= (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _let_2)))) (not (= (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) (not (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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) _let_2)) _let_1))))))))))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.s _let_27 tptp.c_2Eoption_2ENONE_2E0))) (let ((_let_50 (= _let_30 _let_49))) (let ((_let_51 (and _let_50 (= _let_28 _let_49)))) (let ((_let_52 (or _let_51 _let_48))) (let ((_let_53 (= _let_46 _let_52))) (let ((_let_54 (tptp.p _let_15))) (let ((_let_55 (not _let_16))) (let ((_let_56 (= tptp.mono_2Ec_2Ebool_2EF_2E0 _let_24))) (let ((_let_57 (or _let_25 _let_56))) (let ((_let_58 (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (or (= tptp.mono_2Ec_2Ebool_2ET_2E0 V0t_2E0) (= tptp.mono_2Ec_2Ebool_2EF_2E0 V0t_2E0))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (_let_58))) (let ((_let_61 (tptp.p _let_24))) (let ((_let_62 (not _let_56))) (let ((_let_63 (ASSUME :args (_let_6)))) (let ((_let_64 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0R_2E0 tptp.u) (V1x_2E0 tptp.u) (V2y_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_2 (tptp.s _let_1 V2y_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_4 (tptp.s _let_3 V1x_2E0))) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool)) V0R_2E0) _let_4 _let_2)))) (or (and (= _let_4 (tptp.s _let_3 tptp.c_2Eoption_2ENONE_2E0)) (= _let_2 (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0))) (not (forall ((V3x0_2E0 tptp.u) (V4y0_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27b V4y0_2E0))) (let ((_let_2 (tptp.s A_27a V3x0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_5 (tptp.tyop_2Eoption_2Eoption A_27a))) (or (not (= (tptp.s _let_5 V1x_2E0) (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_2)))) (not (= (tptp.s _let_4 V2y_2E0) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) (not (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) V0R_2E0) _let_2)) _let_1)))))))))))))))))))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 (or))) (let ((_let_68 (APPLY_UF tptp.p))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_25 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (ASSUME :args (_let_61)))) (CONG (SYMM (ASSUME :args (_let_56))) :args _let_68) (FALSE_INTRO _let_63))) :args (_let_6 _let_56 _let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args (_let_62)) (REFL :args ((not _let_61))) :args _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.c_2Eoption_2ENONE_2E0 tptp.c_2Eoption_2ENONE_2E0 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66))) _let_65 :args (_let_61 false _let_64)) _let_63 :args (_let_62 false _let_61 true _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_60)) _let_59 :args (_let_57 false _let_58)) :args (_let_25 true _let_56 false _let_57)))) (let ((_let_70 (forall ((BOUND_VARIABLE_2516 tptp.d) (BOUND_VARIABLE_2518 tptp.u) (BOUND_VARIABLE_2520 tptp.u) (BOUND_VARIABLE_2522 tptp.u)) (let ((_let_1 (tptp.s BOUND_VARIABLE_2516 BOUND_VARIABLE_2518))) (let ((_let_2 (tptp.s BOUND_VARIABLE_2516 BOUND_VARIABLE_2520))) (let ((_let_3 (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2516 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2516 _let_3) BOUND_VARIABLE_2522))) (let ((_let_5 (tptp.tyop_2Eoption_2Eoption BOUND_VARIABLE_2516))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_4 (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_2)) (tptp.s _let_5 (tptp.c_2Eoption_2ESOME_2E1 _let_1))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_3 (tptp.app_2E2 _let_4 _let_2)) _let_1)))))))))))) (let ((_let_71 (not _let_32))) (let ((_let_72 (forall ((BOUND_VARIABLE_2494 tptp.d) (BOUND_VARIABLE_2496 tptp.u) (BOUND_VARIABLE_2500 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption BOUND_VARIABLE_2494))) (= tptp.mono_2Ec_2Ebool_2EF_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2494 (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2494 tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_2500) (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0) (tptp.s _let_1 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s BOUND_VARIABLE_2494 BOUND_VARIABLE_2496))))))))))) (let ((_let_73 (forall ((BOUND_VARIABLE_2472 tptp.d) (BOUND_VARIABLE_2476 tptp.u) (BOUND_VARIABLE_2478 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption BOUND_VARIABLE_2472))) (= tptp.mono_2Ec_2Ebool_2EF_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2472 (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2472 tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_2478) (tptp.s _let_1 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s BOUND_VARIABLE_2472 BOUND_VARIABLE_2476))) (tptp.s _let_1 tptp.c_2Eoption_2ENONE_2E0))))))))) (let ((_let_74 (forall ((BOUND_VARIABLE_2453 tptp.d) (BOUND_VARIABLE_2459 tptp.u)) (let ((_let_1 (tptp.s (tptp.tyop_2Eoption_2Eoption BOUND_VARIABLE_2453) tptp.c_2Eoption_2ENONE_2E0))) (= tptp.mono_2Ec_2Ebool_2ET_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2453 (tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2453 tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_2459) _let_1 _let_1)))))))) (let ((_let_75 (not _let_70))) (let ((_let_76 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_77 (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_78 (tptp.s _let_77 _let_76))) (let ((_let_79 (tptp.s _let_77 tptp.c_2Eoption_2ENONE_2E0))) (let ((_let_80 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.tyop_2Emin_2Ebool))) (let ((_let_81 (tptp.s (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_80) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_82 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_81 _let_79 _let_78))))) (let ((_let_83 (= tptp.mono_2Ec_2Ebool_2EF_2E0 _let_82))) (let ((_let_84 (= tptp.mono_2Ec_2Ebool_2ET_2E0 _let_82))) (let ((_let_85 (or _let_84 _let_83))) (let ((_let_86 (tptp.p _let_82))) (let ((_let_87 (not _let_84))) (let ((_let_88 (ASSUME :args (_let_4)))) (let ((_let_89 (forall ((V3x0_2E0 tptp.u) (V4y0_2E0 tptp.u)) (let ((_let_1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 V4y0_2E0))) (let ((_let_2 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 V3x0_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.tyop_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (or (not (= (tptp.s _let_4 tptp.c_2Eoption_2ENONE_2E0) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _let_2)))) (not (= (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (tptp.s _let_4 (tptp.c_2Eoption_2ESOME_2E1 _let_1)))) (not (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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) _let_2)) _let_1))))))))))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (= _let_79 _let_78))) (let ((_let_92 (or _let_91 _let_90))) (let ((_let_93 (= _let_86 _let_92))) (let ((_let_94 (not _let_86))) (let ((_let_95 ((tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool)) V0R_2E0) (tptp.s (tptp.tyop_2Eoption_2Eoption A_27a) V1x_2E0) (tptp.s (tptp.tyop_2Eoption_2Eoption A_27b) V2y_2E0)))))))) (let ((_let_96 (not _let_92))) (let ((_let_97 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_98 (tptp.s SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_99 (= 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(tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_187 (tptp.app_2E2 (tptp.s _let_188 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_41 _let_188) tptp.c_2Eoption_2EOPTREL_2E0) _let_42)) _let_39)) _let_37)))))) (let ((_let_190 (or _let_16 _let_186))) (let ((_let_191 (_let_8))) (let ((_let_192 (ASSUME :args _let_191))) (let ((_let_193 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_194 (ASSUME :args (_let_189)))) (let ((_let_195 (SYMM (SYMM _let_194)))) (let ((_let_196 (ASSUME :args (_let_186)))) (let ((_let_197 (and _let_4 _let_33))) (let ((_let_198 (_let_4 _let_33))) (let ((_let_199 (not _let_51))) (let ((_let_200 (_let_48))) (let ((_let_201 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_200)) :args _let_200)) (CONG _let_167 (REFL :args (_let_185)) :args _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args _let_168) :args ((or _let_51 _let_48 _let_165))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 0)) 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(_let_204))) (let ((_let_207 (ASSUME :args _let_206))) (let ((_let_208 (= _let_180 _let_22))) (let ((_let_209 (and _let_20 _let_21 _let_22))) (let ((_let_210 (APPLY_UF tptp.s))) (let ((_let_211 (APPLY_UF tptp.app_2E2))) (let ((_let_212 (ASSUME :args (_let_22)))) (let ((_let_213 (ASSUME :args (_let_21)))) (let ((_let_214 (ASSUME :args (_let_20)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_209)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_213 _let_212 _let_214) (SCOPE (TRANS (SYMM (SYMM _let_214)) (CONG (CONG (REFL :args (tptp.tyop_2Emin_2Ebool)) (CONG (CONG (REFL :args (_let_13)) (CONG (REFL :args (_let_14)) (SYMM _let_213) :args _let_211) :args _let_210) (SYMM _let_212) :args _let_211) :args _let_210) :args (APPLY_UF tptp.j_mono_2Etyop_2Emin_2Ebool))) :args (_let_21 _let_22 _let_20))) :args (_let_20 _let_21 _let_22))) :args (true _let_209)) :args ((or _let_16 (not _let_20) (not _let_21) (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_208)) :args ((or _let_181 _let_22 (not _let_208)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_184 1)) (CONG _let_202 (MACRO_SR_PRED_INTRO :args ((= (not _let_181) _let_180))) :args _let_67)) :args ((or _let_180 _let_184))) _let_201 :args (_let_180 true _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_206)) _let_205 :args (_let_208 false _let_204)) :args (_let_22 false _let_180 false _let_208)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_203)) :args ((or _let_183 _let_21 (not _let_203)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_184 0)) (CONG _let_202 (MACRO_SR_PRED_INTRO :args ((= (not _let_183) _let_182))) :args _let_67)) :args ((or _let_182 _let_184))) _let_201 :args (_let_182 true _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_206)) _let_205 :args (_let_203 false _let_204)) :args (_let_21 false _let_182 false _let_203)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_20 _let_175 (not _let_176)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_175)) :args ((or _let_7 _let_174 _let_179))) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_184 2)) (CONG _let_202 (MACRO_SR_PRED_INTRO :args ((= (not _let_174) _let_173))) :args _let_67)) :args ((or _let_173 _let_184))) _let_201 :args (_let_173 true _let_184)) :args (_let_179 false _let_4 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_178 :args (_let_19 tptp.mono_2Ec_2Ebool_2ET_2E0 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((_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.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 ((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 ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_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_2Eoption_2EIS__NONE_2E0) _let_2))))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_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_2Eoption_2EIS__SOME_2E0) _let_2))))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.tyop_2Eoption_2Eoption _let_1))) (let ((_let_3 (tptp.s _let_2 X0_2E0))) (= (tptp.s _let_1 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 _let_3)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_2 _let_1) tptp.c_2Eoption_2EOPTION__JOIN_2E0) _let_3))))))) (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (let ((_let_4 (tptp.s _let_3 X0_2E0))) (let ((_let_5 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_6 (tptp.tyop_2Emin_2Efun _let_1 _let_5))) (= (tptp.s _let_5 (tptp.c_2Eoption_2EOPTION__MAP_2E2 _let_4 _let_2)) (tptp.s _let_5 (tptp.app_2E2 (tptp.s _let_6 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_3 _let_6) tptp.c_2Eoption_2EOPTION__MAP_2E0) _let_4)) _let_2)))))))))) _let_8 (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_2 (tptp.s _let_1 X2_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_4 (tptp.s _let_3 X1_2E0))) (let ((_let_5 (tptp.tyop_2Emin_2Efun A_27a (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool)))) (let ((_let_6 (tptp.s _let_5 X0_2E0))) (let ((_let_7 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_8 (tptp.tyop_2Emin_2Efun _let_3 _let_7))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 _let_6 _let_4 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (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.c_2Eoption_2EOPTREL_2E0) _let_6)) _let_4)) _let_2))))))))))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27a X0_2E0))) (let ((_let_2 (tptp.tyop_2Eoption_2Eoption A_27a))) (= (tptp.s _let_2 (tptp.c_2Eoption_2ESOME_2E1 _let_1)) (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a _let_2) tptp.c_2Eoption_2ESOME_2E0) _let_1)))))) (forall ((A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.s A_27b X0_2E0))) (let ((_let_2 (tptp.tyop_2Eoption_2Eoption A_27b))) (= (tptp.s _let_2 (tptp.c_2Eoption_2ESOME_2E1 _let_1)) (tptp.s _let_2 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b _let_2) tptp.c_2Eoption_2ESOME_2E0) _let_1)))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (let ((_let_3 (tptp.tyop_2Eoption_2Eoption _let_1))) (= (tptp.s _let_3 (tptp.c_2Eoption_2ESOME_2E1 _let_2)) (tptp.s _let_3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_3) tptp.c_2Eoption_2ESOME_2E0) _let_2))))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.s _let_1 X0_2E0))) (= (tptp.s A_27a (tptp.c_2Eoption_2ETHE_2E1 _let_2)) (tptp.s A_27a (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 A_27a) tptp.c_2Eoption_2ETHE_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) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27a A_27b))) (let ((_let_2 (tptp.s _let_1 X2_2E0))) (let ((_let_3 (tptp.s A_27b X1_2E0))) (let ((_let_4 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_5 (tptp.s _let_4 X0_2E0))) (let ((_let_6 (tptp.tyop_2Emin_2Efun _let_1 A_27b))) (let ((_let_7 (tptp.tyop_2Emin_2Efun A_27b _let_6))) (= (tptp.s A_27b (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_5 _let_3 _let_2)) (tptp.s A_27b (tptp.app_2E2 (tptp.s _let_6 (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_4 _let_7) tptp.c_2Eoption_2Eoption__CASE_2E0) _let_5)) _let_3)) _let_2))))))))))) (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.tyop_2Emin_2Efun A_27a _let_1))) (let ((_let_3 (tptp.s _let_2 X2_2E0))) (let ((_let_4 (tptp.s _let_1 X1_2E0))) (let ((_let_5 (tptp.s _let_1 X0_2E0))) (let ((_let_6 (tptp.tyop_2Emin_2Efun _let_2 _let_1))) (let ((_let_7 (tptp.tyop_2Emin_2Efun _let_1 _let_6))) (= (tptp.s _let_1 (tptp.c_2Eoption_2Eoption__CASE_2E3 _let_5 _let_4 _let_3)) (tptp.s _let_1 (tptp.app_2E2 (tptp.s _let_6 (tptp.app_2E2 (tptp.s _let_7 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_1 _let_7) tptp.c_2Eoption_2Eoption__CASE_2E0) _let_5)) _let_4)) _let_3))))))))))) (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))))))) _let_4 (forall ((V0t1_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1t2_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t1_2E0))) (let ((_let_2 (tptp.p V1t2_2E0))) (=> (=> _let_1 _let_2) (=> (=> _let_2 _let_1) (= V0t1_2E0 V1t2_2E0)))))) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (=> (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0) (tptp.p V0t_2E0))) (forall ((A_27a tptp.d) (V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (= (exists ((V1x_2E0 tptp.u)) (tptp.p V0t_2E0)) (tptp.p V0t_2E0))) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (let ((_let_2 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_3 (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0))) (and (= (and _let_3 _let_1) _let_1) (= (and _let_1 _let_3) _let_1) (= (and _let_2 _let_1) _let_2) (= (and _let_1 _let_2) _let_2) (= (and _let_1 _let_1) _let_1)))))) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (let ((_let_2 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_3 (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0))) (and (= (or _let_3 _let_1) _let_3) (= (or _let_1 _let_3) _let_3) (= (or _let_2 _let_1) _let_1) (= (or _let_1 _let_2) _let_1) (= (or _let_1 _let_1) _let_1)))))) (and (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (= (not (not _let_1)) _let_1))) (= _let_7 _let_5) (= _let_6 _let_4)) (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)))) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (let ((_let_2 (not _let_1))) (and (= (= tptp.mono_2Ec_2Ebool_2ET_2E0 V0t_2E0) _let_1) (= (= V0t_2E0 tptp.mono_2Ec_2Ebool_2ET_2E0) _let_1) (= (= tptp.mono_2Ec_2Ebool_2EF_2E0 V0t_2E0) _let_2) (= (= V0t_2E0 tptp.mono_2Ec_2Ebool_2EF_2E0) _let_2))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.52/30.91  )
% 30.52/30.91  % SZS output end Proof for ITP011_1
% 30.52/30.91  % cvc5---1.0.5 exiting
% 30.52/30.91  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------