%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 03:14:30 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : ITP010_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 11:15:46 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.TFERdSvD0z/cvc5---1.0.5_22848.p...
% 0.22/0.55  ------- get file name : TPTP file name is ITP010_1
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22848.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for ITP010_1
% 0.22/0.55  % SZS output start Proof for ITP010_1
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (not (forall ((A_27a tptp.d) (A_27b tptp.d) (V0s_2E0 tptp.u) (V1t_2E0 tptp.u)) (let ((_let_1 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0) (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0)))))))) (= _let_1 _let_1)))))) (let ((_let_2 (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0))) (let ((_let_3 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_4 (not _let_3))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :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_2 _let_4 (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.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 ((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)) (let ((_let_1 (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (tptp.s _let_1 X1_2E0))) (let ((_let_3 (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 X0_2E0))) (let ((_let_5 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_4 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_5 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_3 _let_5) tptp.c_2Ecardinal_2Ecardleq_2E0) _let_4)) _let_2)))))))))) (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (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.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (tptp.s _let_3 X0_2E0))) (let ((_let_5 (tptp.tyop_2Emin_2Efun _let_1 tptp.tyop_2Emin_2Ebool))) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_4 _let_2))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s _let_5 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun _let_3 _let_5) tptp.c_2Ecardinal_2Ecardleq_2E0) _let_4)) _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))))))) _let_2 (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)) (= (forall ((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 (= (=> _let_3 _let_1) _let_1) (= (=> _let_1 _let_3) _let_3) (= (=> _let_2 _let_1) _let_3) (= (=> _let_1 _let_1) _let_3) (= (=> _let_1 _let_2) (not _let_1))))))) (and (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (= (not (not _let_1)) _let_1))) (= (not _let_2) _let_3) (= _let_4 _let_2)) (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))))) (forall ((A_27a tptp.d) (A_27b tptp.d) (V0s_2E0 tptp.u) (V1t_2E0 tptp.u)) (let ((_let_1 (tptp.s (tptp.tyop_2Emin_2Efun A_27a tptp.tyop_2Emin_2Ebool) V0s_2E0))) (let ((_let_2 (tptp.s (tptp.tyop_2Emin_2Efun A_27b tptp.tyop_2Emin_2Ebool) V1t_2E0))) (or (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_1 _let_2)))) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 _let_2 _let_1)))))))) (forall ((V0t_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0t_2E0))) (= (not (not _let_1)) _let_1))) (forall ((V0A_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V0A_2E0))) (=> _let_1 (=> (not _let_1) (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))))) (forall ((V0B_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1A_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_2 (tptp.p V0B_2E0))) (let ((_let_3 (tptp.p V1A_2E0))) (= (=> (not (or _let_3 _let_2)) _let_1) (=> (=> _let_3 _let_1) (=> (not _let_2) _let_1))))))) (forall ((V0B_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1A_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_2 (tptp.p V0B_2E0))) (let ((_let_3 (tptp.p V1A_2E0))) (= (=> (not (or (not _let_3) _let_2)) _let_1) (=> _let_3 (=> (not _let_2) _let_1))))))) (forall ((V0A_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) (let ((_let_2 (tptp.p V0A_2E0))) (=> (=> (not _let_2) _let_1) (=> (=> _let_2 _let_1) _let_1))))) (forall ((V0r_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1q_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V2p_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V2p_2E0))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p V1q_2E0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p V0r_2E0))) (let ((_let_6 (not _let_5))) (= (= _let_1 (= V1q_2E0 V0r_2E0)) (and (or _let_1 _let_3 _let_5) (or _let_1 _let_6 _let_4) (or _let_3 _let_6 _let_2) (or _let_5 _let_4 _let_2)))))))))) (forall ((V0q_2E0 tptp.mono_2Etyop_2Emin_2Ebool) (V1p_2E0 tptp.mono_2Etyop_2Emin_2Ebool)) (let ((_let_1 (tptp.p V1p_2E0))) (let ((_let_2 (tptp.p V0q_2E0))) (let ((_let_3 (not _let_2))) (= (= _let_1 _let_3) (and (or _let_1 _let_2) (or _let_3 (not _let_1)))))))) _let_1 true)))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for ITP010_1
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------