TSTP Solution File: SWW478+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 : Fri Sep 1 00:21:19 EDT 2023
% Result : Theorem 0.22s 0.67s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% 0.15/0.16 % Command : do_cvc5 %s %d
% 0.17/0.37 % Computer : n027.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun Aug 27 22:09:21 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.22/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.67 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kp78KNa95m/cvc5---1.0.5_7902.p...
% 0.22/0.67 ------- get file name : TPTP file name is SWW478+1
% 0.22/0.67 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7902.smt2...
% 0.22/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.67 % SZS status Theorem for SWW478+1
% 0.22/0.67 % SZS output start Proof for SWW478+1
% 0.22/0.67 (
% 0.22/0.67 (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha))) (let ((_let_2 (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.ea) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.some_val tptp.v))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val tptp.e_a) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.h_a) tptp.l_a))) (tptp.red tptp.p))))) (let ((_let_3 (not _let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_3)) (ASSUME :args (_let_2)) :args (false false _let_2)) :args ((forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.assigned B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3 $$unsorted)) (tptp.is_bool (tptp.widen_2090681816t_char B_1_1 B_2_1 B_3))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.wf_pro755087577t_char B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted) (B_3 $$unsorted) (B_4 $$unsorted) (B_5 $$unsorted)) (tptp.is_bool (tptp.wTrt B_1_1 B_2_1 B_3 B_4 B_5))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (=> (tptp.is_bool B_2_1) (tptp.is_bool (tptp.hAPP_bool_bool B_1_1 B_2_1)))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1001225811y_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f1033709212l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_f61040418l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P1708370145l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P159683425l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.hAPP_P282169671l_bool B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member840932460on_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member763590124on_val B_1_1 B_2_1))) (forall ((B_1_1 $$unsorted) (B_2_1 $$unsorted)) (tptp.is_bool (tptp.member773094996on_val B_1_1 B_2_1))) (= (tptp.hAPP_l207779698on_val tptp.l_a tptp.v_1) (tptp.some_val tptp.v_2)) _let_2 (forall ((F $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up1149430426on_val F X_1 (tptp.hAPP_l207779698on_val F X_1)) F)) (forall ((F $$unsorted) (X_1 $$unsorted)) (= (tptp.fun_up424764369ion_ty F X_1 (tptp.hAPP_l512744617ion_ty F X_1)) F)) (tptp.hBOOL (tptp.wf_pro755087577t_char tptp.wf_J_mdecl tptp.p)) (forall ((M $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.some_val Y_1))) (let ((_let_2 (= X_1 A_10))) (= (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val M A_10 (tptp.some_val B_1)) X_1) _let_1) (or (and _let_2 (= B_1 Y_1)) (and (not _let_2) (= (tptp.hAPP_l207779698on_val M X_1) _let_1))))))) (forall ((M $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (let ((_let_1 (tptp.some_ty Y_1))) (let ((_let_2 (= X_1 A_10))) (= (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty M A_10 (tptp.some_ty B_1)) X_1) _let_1) (or (and _let_2 (= B_1 Y_1)) (and (not _let_2) (= (tptp.hAPP_l512744617ion_ty M X_1) _let_1))))))) (forall ((T $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.some_val X_1))) (=> (= (tptp.hAPP_l207779698on_val T K) _let_1) (= (tptp.fun_up1149430426on_val T K _let_1) T)))) (forall ((T $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.some_ty X_1))) (=> (= (tptp.hAPP_l512744617ion_ty T K) _let_1) (= (tptp.fun_up424764369ion_ty T K _let_1) T)))) (forall ((M $$unsorted) (A_10 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.fun_up1149430426on_val M A_10 (tptp.some_val X_1)) (tptp.fun_up1149430426on_val N A_10 (tptp.some_val Y_1))) (= X_1 Y_1))) (forall ((M $$unsorted) (A_10 $$unsorted) (X_1 $$unsorted) (N $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.fun_up424764369ion_ty M A_10 (tptp.some_ty X_1)) (tptp.fun_up424764369ion_ty N A_10 (tptp.some_ty Y_1))) (= X_1 Y_1))) (forall ((Ta $$unsorted) (Ea $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1234865140_sconf tptp.p Ea) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val tptp.ha) (tptp.fun_up1149430426on_val tptp.la tptp.v_1 (tptp.some_val tptp.v))))) (=> (tptp.hBOOL (tptp.wTrt tptp.p tptp.ha Ea tptp.ea Ta)) (exists ((T_5 $$unsorted)) (and (tptp.hBOOL (tptp.wTrt tptp.p tptp.h_a Ea tptp.e_a T_5)) (tptp.hBOOL (tptp.widen_2090681816t_char tptp.p T_5 Ta))))))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_1) D_1)))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_1)))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (not (= Y_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val C_1) D_1)))))))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1234865140_sconf tptp.p tptp.e) (tptp.hAPP_f1727192346on_val _let_1 tptp.la))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_9) B_2)) (not (=> (= A_10 A_9) (not (= B_1 B_2)))))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_9) B_2)) (not (=> (= A_10 A_9) (not (= B_1 B_2)))))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_9) B_2)) (not (=> (= A_10 A_9) (not (= B_1 B_2)))))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_9) B_2)) (and (= A_10 A_9) (= B_1 B_2)))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_9) B_2)) (and (= A_10 A_9) (= B_1 B_2)))) (forall ((A_10 $$unsorted) (B_1 $$unsorted) (A_9 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_9) B_2)) (and (= A_10 A_9) (= B_1 B_2)))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (forall ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (forall ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)))))) (forall ((Pa $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (forall ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_10 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F A_10 B_1) X))) (let ((_let_2 (= X A_10))) (and (=> _let_2 (= _let_1 B_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F X))))))) (forall ((F $$unsorted) (B_1 $$unsorted) (A_10 $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F A_10 B_1) X))) (let ((_let_2 (= X A_10))) (and (=> _let_2 (= _let_1 B_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F X))))))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.hAPP_l207779698on_val F X_1) Y_1) (= (tptp.fun_up1149430426on_val F X_1 Y_1) F))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (= (tptp.hAPP_l512744617ion_ty F X_1) Y_1) (= (tptp.fun_up424764369ion_ty F X_1 Y_1) F))) (forall ((F $$unsorted) (Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F X_1 Y_1) Z) (tptp.hAPP_l207779698on_val F Z)))) (forall ((F $$unsorted) (Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (=> (not (= Z X_1)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F X_1 Y_1) Z) (tptp.hAPP_l512744617ion_ty F Z)))) (forall ((M $$unsorted) (B_1 $$unsorted) (D $$unsorted) (A_10 $$unsorted) (C $$unsorted)) (=> (not (= A_10 C)) (= (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M A_10 B_1) C D) (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val M C D) A_10 B_1)))) (forall ((M $$unsorted) (B_1 $$unsorted) (D $$unsorted) (A_10 $$unsorted) (C $$unsorted)) (=> (not (= A_10 C)) (= (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M A_10 B_1) C D) (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty M C D) A_10 B_1)))) (forall ((F $$unsorted) (Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F X_1 Y_1) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l207779698on_val F Z))))))) (forall ((F $$unsorted) (Y_1 $$unsorted) (Z $$unsorted) (X_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F X_1 Y_1) Z))) (let ((_let_2 (= Z X_1))) (and (=> _let_2 (= _let_1 Y_1)) (=> (not _let_2) (= _let_1 (tptp.hAPP_l512744617ion_ty F Z))))))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val F X_1 Y_1) X_1) Y_1)) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty F X_1 Y_1) X_1) Y_1)) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up1149430426on_val (tptp.fun_up1149430426on_val F X_1 Y_1) X_1 Z) (tptp.fun_up1149430426on_val F X_1 Z))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.fun_up424764369ion_ty (tptp.fun_up424764369ion_ty F X_1 Y_1) X_1 Z) (tptp.fun_up424764369ion_ty F X_1 Z))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.fun_up1149430426on_val F X_1 Y_1) F) (= (tptp.hAPP_l207779698on_val F X_1) Y_1))) (forall ((F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.fun_up424764369ion_ty F X_1 Y_1) F) (= (tptp.hAPP_l512744617ion_ty F X_1) Y_1))) (forall ((P_3 $$unsorted) (T_4 $$unsorted)) (tptp.hBOOL (tptp.widen_2090681816t_char P_3 T_4 T_4))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hconf_97414254t_char Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 Hb)) (tptp.hBOOL (tptp.hAPP_f61040418l_bool _let_1 H_b))))))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.lconf_496643946t_char Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb) Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b) L_b))) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 Hb) Lb) Ea)) (tptp.hBOOL (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool (tptp.hAPP_f1213370163y_bool _let_1 H_b) L_b) Ea))))))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (not (= Y_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) C_1))))))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (not (= Y_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B) C_1))))))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val B) C_1))))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X_1)))) (forall ((X_1 $$unsorted) (Pa $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted) (C_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val B) C_1))))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X_1)))) (forall ((Ea $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.typeSa1234865140_sconf Pa Ea))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_1)) (tptp.red Pa))) (=> (tptp.hBOOL (tptp.wTrt Pa (tptp.hp S) Ea Eb Ta)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 S_1))))))) (forall ((S_3 $$unsorted) (R_1 $$unsorted)) (= (forall ((X $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Xa))) (= (tptp.hBOOL (tptp.member840932460on_val _let_1 R_1)) (tptp.hBOOL (tptp.member840932460on_val _let_1 S_3))))) (= R_1 S_3))) (forall ((S_3 $$unsorted) (R_1 $$unsorted)) (= (forall ((X $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Xa))) (= (tptp.hBOOL (tptp.member763590124on_val _let_1 R_1)) (tptp.hBOOL (tptp.member763590124on_val _let_1 S_3))))) (= R_1 S_3))) (forall ((S_3 $$unsorted) (R_1 $$unsorted)) (= (forall ((X $$unsorted) (Xa $$unsorted)) (let ((_let_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Xa))) (= (tptp.hBOOL (tptp.member773094996on_val _let_1 R_1)) (tptp.hBOOL (tptp.member773094996on_val _let_1 S_3))))) (= R_1 S_3))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted)) (not (= Y_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)))))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted)) (not (= Y_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)))))) (forall ((Y_1 $$unsorted)) (not (forall ((A_15 $$unsorted) (B $$unsorted)) (not (= Y_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)))))) (forall ((T_3 $$unsorted) (P_2 $$unsorted) (S_2 $$unsorted) (U_1 $$unsorted)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char P_2 S_2 U_1)) (=> (tptp.hBOOL (tptp.widen_2090681816t_char P_2 U_1 T_3)) (tptp.hBOOL (tptp.widen_2090681816t_char P_2 S_2 T_3))))) (tptp.hBOOL (tptp.wTrt tptp.p tptp.ha tptp.e (tptp.block_list_char tptp.v_1 tptp.t_1 (tptp.seq_list_char (tptp.lAss_list_char tptp.v_1 (tptp.val_list_char tptp.v)) tptp.ea)) tptp.t)) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa X1))) (exists ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool Pa (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa X1))) (exists ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool Pa (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)))))) (forall ((Pa $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa X1))) (exists ((A_15 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool Pa (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)))))) (forall ((P_1 $$unsorted)) (not (forall ((X $$unsorted) (Y $$unsorted)) (not (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y)))))) (forall ((P_1 $$unsorted)) (not (forall ((X $$unsorted) (Y $$unsorted)) (not (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y)))))) (forall ((P_1 $$unsorted)) (not (forall ((X $$unsorted) (Y $$unsorted)) (not (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y)))))) (forall ((C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc2128769400l_bool C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C A_10) B_1)))) (forall ((Pa $$unsorted) (Ea $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.typeSa1234865140_sconf Pa Ea) S)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.cOMBS_570216337l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val tptp.cOMBB_383678192on_val) (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val tptp.fconj) (tptp.hconf_97414254t_char Pa))) (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val tptp.cOMBC_832625297y_bool) (tptp.lconf_496643946t_char Pa))) Ea))) S)))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F1 A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1))))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F1 A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1))))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1))))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1))))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F A_10) B_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F A_10) B_1)))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F A_10) B_1)))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F A_10) B_1)))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 Q_2)))))) (forall ((C $$unsorted) (P_1 $$unsorted) (Q_2 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C))) (=> (= P_1 Q_2) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 P_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 Q_2)))))) (= tptp.produc399384568l_bool tptp.produc1815960045l_bool) (= tptp.produc1988544340l_bool tptp.produc1911463199l_bool) (= tptp.produc2128769400l_bool tptp.produc1958875245l_bool) (forall ((F $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P789556885on_val (tptp.hAPP_f1520199827on_val tptp.produc1174947465on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f653692369l_bool (tptp.hAPP_f516738477l_bool tptp.cOMBB_819439237t_char (tptp.hAPP_f1825030711l_bool tptp.cOMBB_877741809on_val _let_1)) G)) P_1))))) (forall ((F $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F))) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool _let_1 (tptp.hAPP_P1760219823on_val (tptp.hAPP_f394183983on_val tptp.produc1003071703on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f1241216909l_bool (tptp.hAPP_f1438732387l_bool tptp.cOMBB_635947099on_val (tptp.hAPP_f881985847l_bool tptp.cOMBB_1083177073on_val _let_1)) G)) P_1))))) (forall ((F $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F))) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool _let_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_f1309113673on_val tptp.produc901351817on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f850751421l_bool (tptp.hAPP_f399538905l_bool tptp.cOMBB_1466889536on_val (tptp.hAPP_f1233687287l_bool tptp.cOMBB_171276332on_val _let_1)) G)) P_1))))) (forall ((F $$unsorted) (G $$unsorted) (P_1 $$unsorted)) (let ((_let_1 (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F))) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool _let_1 (tptp.hAPP_P2024243179on_val (tptp.hAPP_f204556415on_val tptp.produc1148763895on_val G) P_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f927043595l_bool (tptp.hAPP_f1043869573l_bool tptp.cOMBB_1259202826on_val (tptp.hAPP_f2052660463l_bool tptp.cOMBB_1292453606on_val _let_1)) G)) P_1))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f546724245l_bool (tptp.hAPP_f917296015l_bool tptp.cOMBB_740252943t_char (tptp.hAPP_f1308714617l_bool tptp.cOMBB_338347573on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool Q_1) X))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f641257349l_bool (tptp.hAPP_f2032347769l_bool tptp.cOMBB_466903633on_val (tptp.hAPP_f1560238713l_bool tptp.cOMBB_672625589on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool Q_1) X))))) (forall ((Pa $$unsorted) (Q_1 $$unsorted) (X $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val (tptp.hAPP_b589554111l_bool tptp.fconj Pa))) Q_1)) X)) (and (tptp.hBOOL Pa) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool Q_1) X))))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F1) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F1 A_10) B_1)))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F1) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F1 A_10) B_1)))) (forall ((F1 $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F1) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F1 A_10) B_1)))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F A_10) B_1)))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F A_10) B_1)))) (forall ((F $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F A_10) B_1)))) (forall ((F $$unsorted)) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val F)) tptp.produc899768717on_val)) F)) (forall ((F $$unsorted)) (= (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool (tptp.hAPP_f1342895119l_bool (tptp.hAPP_f639265145l_bool tptp.cOMBB_364363975on_val (tptp.hAPP_f365540729l_bool tptp.cOMBB_1466662571on_val F)) tptp.produc1441475159on_val)) F)) (forall ((F $$unsorted)) (= (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool (tptp.hAPP_f439412817l_bool (tptp.hAPP_f1725502637l_bool tptp.cOMBB_1027621637t_char (tptp.hAPP_f10074679l_bool tptp.cOMBB_1759207793on_val F)) tptp.produc1259058957on_val)) F)) (forall ((Ta $$unsorted) (V_a $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.some_val Va))))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.some_val V_a)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb))) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1)))))))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1))) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S)) (tptp.red Pa))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C A_15) B)))) (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C A_15) B)))) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)) (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C A_15) B)))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C) P_1)))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool C) P_1)) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool C X) Y)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool C) P_1)) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool C X) Y)))))))) (forall ((C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool C) P_1)) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool C X) Y)))))))) (forall ((Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Eb $$unsorted) (T_a $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb (tptp.fun_up424764369ion_ty Ea Va_1 (tptp.some_ty Ta)) Eb T_a)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.block_list_char Va_1 Ta Eb) T_a)))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_P1134042693l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1826803705l_bool (tptp.hAPP_f444383845l_bool tptp.produc376702929l_bool C) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_P1953518277l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P678729081l_bool (tptp.hAPP_f1591648613l_bool tptp.produc20018513l_bool C) (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_10) B_1)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_e500528395l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_f468299289l_bool tptp.produc2036005791l_bool C) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_e592495499l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1760682521l_bool tptp.produc1275132703l_bool C) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_10) B_1)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_f396019662l_bool (tptp.hAPP_f2135509569l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_f1276548047l_bool tptp.produc121041439l_bool C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1)))))) (forall ((Z $$unsorted) (C $$unsorted) (A_10 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_f2011777102l_bool (tptp.hAPP_f2144092865l_bool C A_10) B_1))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_f833559503l_bool tptp.produc334393759l_bool C) (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_10) B_1)))))) (forall ((E_2 $$unsorted) (T_2 $$unsorted) (Pa $$unsorted) (Hb $$unsorted) (Ea $$unsorted) (E_1 $$unsorted) (T_1 $$unsorted)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_1 T_1)) (=> (tptp.hBOOL (tptp.wTrt Pa Hb Ea E_2 T_2)) (tptp.hBOOL (tptp.wTrt Pa Hb Ea (tptp.seq_list_char E_1 E_2) T_2))))) (forall ((E_2 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_1)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char Eb E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char E_b E_2)) S_1)) _let_1))))) (forall ((Va_1 $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_1 $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) S_1)) _let_1)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 Eb)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 E_b)) S_1)) _let_1))))) (forall ((Va $$unsorted) (E_2 $$unsorted) (S $$unsorted) (Pa $$unsorted)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.seq_list_char (tptp.val_list_char Va) E_2)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_2) S)) (tptp.red Pa)))) (forall ((Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta _let_1)) S)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val _let_1) S)) (tptp.red Pa))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1826803705l_bool (tptp.hAPP_f444383845l_bool tptp.produc376702929l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y)) (not (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_P1134042693l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P678729081l_bool (tptp.hAPP_f1591648613l_bool tptp.produc20018513l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y)) (not (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_P1953518277l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_f468299289l_bool tptp.produc2036005791l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y)) (not (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_e500528395l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1760682521l_bool tptp.produc1275132703l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y)) (not (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_e592495499l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_f1276548047l_bool tptp.produc121041439l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y)) (not (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_f396019662l_bool (tptp.hAPP_f2135509569l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_f833559503l_bool tptp.produc334393759l_bool C) P_1))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y)) (not (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_f2011777102l_bool (tptp.hAPP_f2144092865l_bool C X) Y))))))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_P1134042693l_bool C A_15) B))))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1826803705l_bool (tptp.hAPP_f444383845l_bool tptp.produc376702929l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val A_15) B)) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_P1953518277l_bool C A_15) B))))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P678729081l_bool (tptp.hAPP_f1591648613l_bool tptp.produc20018513l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_e500528395l_bool C A_15) B))))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P595502227l_bool (tptp.hAPP_f468299289l_bool tptp.produc2036005791l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val A_15) B)) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_e592495499l_bool C A_15) B))))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1760682521l_bool tptp.produc1275132703l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_f396019662l_bool (tptp.hAPP_f2135509569l_bool C A_15) B))))) (tptp.hBOOL (tptp.member763590124on_val Z (tptp.hAPP_P1988153107l_bool (tptp.hAPP_f1276548047l_bool tptp.produc121041439l_bool C) P_1))))) (forall ((Z $$unsorted) (C $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_15 $$unsorted) (B $$unsorted)) (=> (= P_1 (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val A_15) B)) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_f2011777102l_bool (tptp.hAPP_f2144092865l_bool C A_15) B))))) (tptp.hBOOL (tptp.member840932460on_val Z (tptp.hAPP_P1638898323l_bool (tptp.hAPP_f833559503l_bool tptp.produc334393759l_bool C) P_1))))) (forall ((Va_1 $$unsorted) (Va $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.lAss_list_char Va_1 (tptp.val_list_char Va))) (tptp.hAPP_f1727192346on_val _let_1 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.val_list_char tptp.unit)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.some_val Va))))) (tptp.red Pa))))) (forall ((G $$unsorted) (F $$unsorted)) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool F X) Y)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool G (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y))))) (= (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool F) G))) (forall ((G $$unsorted) (F $$unsorted)) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool F X) Y)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool G (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y))))) (= (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool F) G))) (forall ((G $$unsorted) (F $$unsorted)) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool F X) Y)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool G (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y))))) (= (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool F) G))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2121594859l_bool tptp.produc1958875245l_bool Pa) Z))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= Z (tptp.hAPP_f1727192346on_val (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1175813647l_bool Pa X) Y))))))))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P282169671l_bool (tptp.hAPP_f635218277l_bool tptp.produc1911463199l_bool Pa) Z))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= Z (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P1708370145l_bool (tptp.hAPP_P1116729363l_bool Pa X) Y))))))))) (forall ((Q_1 $$unsorted) (Pa $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1930574389l_bool tptp.produc1815960045l_bool Pa) Z))) (not (forall ((X $$unsorted) (Y $$unsorted)) (=> (= Z (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Y)) (not (tptp.hBOOL (tptp.hAPP_bool_bool Q_1 (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool Pa X) Y))))))))) (forall ((A_14 $$unsorted) (Ty_7 $$unsorted) (Exp_13 $$unsorted) (A_13 $$unsorted) (Exp_12 $$unsorted)) (not (= (tptp.block_list_char A_14 Ty_7 Exp_13) (tptp.lAss_list_char A_13 Exp_12)))) (forall ((A_12 $$unsorted) (Ty_6 $$unsorted) (Exp_11 $$unsorted) (Exp1_7 $$unsorted) (Exp2_7 $$unsorted)) (not (= (tptp.block_list_char A_12 Ty_6 Exp_11) (tptp.seq_list_char Exp1_7 Exp2_7)))) (forall ((Val_7 $$unsorted) (Val_6 $$unsorted)) (= (= (tptp.val_list_char Val_7) (tptp.val_list_char Val_6)) (= Val_7 Val_6))) (forall ((Exp1_6 $$unsorted) (Exp2_6 $$unsorted) (Exp1_5 $$unsorted) (Exp2_5 $$unsorted)) (= (= (tptp.seq_list_char Exp1_6 Exp2_6) (tptp.seq_list_char Exp1_5 Exp2_5)) (and (= Exp1_6 Exp1_5) (= Exp2_6 Exp2_5)))) (forall ((A_10 $$unsorted) (Exp_10 $$unsorted) (A_9 $$unsorted) (Exp_9 $$unsorted)) (= (= (tptp.lAss_list_char A_10 Exp_10) (tptp.lAss_list_char A_9 Exp_9)) (and (= A_10 A_9) (= Exp_10 Exp_9)))) (forall ((X_1 $$unsorted) (A_11 $$unsorted)) (= (tptp.hBOOL (tptp.member763590124on_val X_1 A_11)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool A_11 X_1)))) (forall ((X_1 $$unsorted) (A_11 $$unsorted)) (= (tptp.hBOOL (tptp.member840932460on_val X_1 A_11)) (tptp.hBOOL (tptp.hAPP_P1708370145l_bool A_11 X_1)))) (forall ((X_1 $$unsorted) (A_11 $$unsorted)) (= (tptp.hBOOL (tptp.member773094996on_val X_1 A_11)) (tptp.hBOOL (tptp.hAPP_P282169671l_bool A_11 X_1)))) (forall ((A_10 $$unsorted) (Ty_5 $$unsorted) (Exp_10 $$unsorted) (A_9 $$unsorted) (Ty_4 $$unsorted) (Exp_9 $$unsorted)) (= (= (tptp.block_list_char A_10 Ty_5 Exp_10) (tptp.block_list_char A_9 Ty_4 Exp_9)) (and (= A_10 A_9) (= Ty_5 Ty_4) (= Exp_10 Exp_9)))) (forall ((Val_5 $$unsorted) (Exp1_4 $$unsorted) (Exp2_4 $$unsorted)) (not (= (tptp.val_list_char Val_5) (tptp.seq_list_char Exp1_4 Exp2_4)))) (forall ((Val_4 $$unsorted) (A_8 $$unsorted) (Exp_8 $$unsorted)) (not (= (tptp.val_list_char Val_4) (tptp.lAss_list_char A_8 Exp_8)))) (forall ((Exp1_3 $$unsorted) (Exp2_3 $$unsorted) (Val_3 $$unsorted)) (not (= (tptp.seq_list_char Exp1_3 Exp2_3) (tptp.val_list_char Val_3)))) (forall ((A_7 $$unsorted) (Exp_7 $$unsorted) (Val_2 $$unsorted)) (not (= (tptp.lAss_list_char A_7 Exp_7) (tptp.val_list_char Val_2)))) (forall ((Val_1 $$unsorted) (A_6 $$unsorted) (Ty_3 $$unsorted) (Exp_6 $$unsorted)) (not (= (tptp.val_list_char Val_1) (tptp.block_list_char A_6 Ty_3 Exp_6)))) (forall ((A_5 $$unsorted) (Ty_2 $$unsorted) (Exp_5 $$unsorted) (Val $$unsorted)) (not (= (tptp.block_list_char A_5 Ty_2 Exp_5) (tptp.val_list_char Val)))) (forall ((Exp1_2 $$unsorted) (Exp2_2 $$unsorted) (A_4 $$unsorted) (Exp_4 $$unsorted)) (not (= (tptp.seq_list_char Exp1_2 Exp2_2) (tptp.lAss_list_char A_4 Exp_4)))) (forall ((A_3 $$unsorted) (Exp_3 $$unsorted) (Exp1_1 $$unsorted) (Exp2_1 $$unsorted)) (not (= (tptp.lAss_list_char A_3 Exp_3) (tptp.seq_list_char Exp1_1 Exp2_1)))) (forall ((Exp1 $$unsorted) (Exp2 $$unsorted) (A_2 $$unsorted) (Ty_1 $$unsorted) (Exp_2 $$unsorted)) (not (= (tptp.seq_list_char Exp1 Exp2) (tptp.block_list_char A_2 Ty_1 Exp_2)))) (forall ((A_1 $$unsorted) (Exp_1 $$unsorted) (A $$unsorted) (Ty $$unsorted) (Exp $$unsorted)) (not (= (tptp.lAss_list_char A_1 Exp_1) (tptp.block_list_char A Ty Exp)))) (forall ((Ta $$unsorted) (V_a $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (Va $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 (tptp.some_val Va)))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.some_val V_a)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) Eb)) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char V_a)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1)))))))))) (forall ((Ta $$unsorted) (Va $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted) (Pa $$unsorted)) (let ((_let_1 (tptp.red Pa))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_3 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Eb) (tptp.hAPP_f1727192346on_val _let_3 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val)))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val E_b) (tptp.hAPP_f1727192346on_val _let_2 L_b))) _let_1)) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta Eb)) (tptp.hAPP_f1727192346on_val _let_3 Lb))) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))) _let_1))))))))) (forall ((E_2 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char Eb E_2) S) (tptp.seq_list_char E_b E_2)) S_1)))) (forall ((Va_1 $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (S $$unsorted) (E_b $$unsorted) (S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb S) E_b) S_1)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.lAss_list_char Va_1 Eb) S) (tptp.lAss_list_char Va_1 E_b)) S_1)))) (forall ((Ta $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) tptp.none_val) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta E_b)) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((Pa $$unsorted) (Va $$unsorted) (E_2 $$unsorted) (S $$unsorted)) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.seq_list_char (tptp.val_list_char Va) E_2) S) E_2) S))) (forall ((T $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val T K (tptp.some_val X_1)) X) tptp.none_val)))) (forall ((T $$unsorted) (K $$unsorted) (X_1 $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty T K (tptp.some_ty X_1)) X) tptp.none_ty)))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (U $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta _let_1) S) _let_1) S)))) (forall ((X_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.fun_up1149430426on_val (tptp.cOMBK_1097134891t_char tptp.none_val) X_1 tptp.none_val) X) tptp.none_val)) (forall ((X_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.fun_up424764369ion_ty (tptp.cOMBK_1294242658t_char tptp.none_ty) X_1 tptp.none_ty) X) tptp.none_ty)) (forall ((Ta $$unsorted) (Va $$unsorted) (Pa $$unsorted) (Eb $$unsorted) (Hb $$unsorted) (Lb $$unsorted) (Va_1 $$unsorted) (E_b $$unsorted) (H_b $$unsorted) (L_b $$unsorted)) (let ((_let_1 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val H_b))) (let ((_let_2 (tptp.hAPP_f1849790461on_val tptp.produc899768717on_val Hb))) (=> (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa Eb (tptp.hAPP_f1727192346on_val _let_2 (tptp.fun_up1149430426on_val Lb Va_1 tptp.none_val))) E_b) (tptp.hAPP_f1727192346on_val _let_1 L_b))) (=> (= (tptp.hAPP_l207779698on_val L_b Va_1) (tptp.some_val Va)) (=> (not (tptp.hBOOL (tptp.assigned Va_1 Eb))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta Eb) (tptp.hAPP_f1727192346on_val _let_2 Lb)) (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) E_b))) (tptp.hAPP_f1727192346on_val _let_1 (tptp.fun_up1149430426on_val L_b Va_1 (tptp.hAPP_l207779698on_val Lb Va_1))))))))))) (forall ((Pa $$unsorted) (X $$unsorted) (Xa $$unsorted) (Xb $$unsorted) (Xc $$unsorted)) (= (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa X Xa) Xb) Xc)) (tptp.hBOOL (tptp.member773094996on_val (tptp.hAPP_P1886180715on_val (tptp.hAPP_P1870962205on_val tptp.produc1441475159on_val (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val X) Xa)) (tptp.hAPP_P604205461on_val (tptp.hAPP_e1659493427on_val tptp.produc1259058957on_val Xb) Xc)) (tptp.red Pa))))) (forall ((Pa $$unsorted) (Va_1 $$unsorted) (Ta $$unsorted) (Va $$unsorted) (U $$unsorted) (S $$unsorted)) (let ((_let_1 (tptp.val_list_char U))) (tptp.hBOOL (tptp.hAPP_P159683425l_bool (tptp.hAPP_e1833980889l_bool (tptp.redp Pa (tptp.block_list_char Va_1 Ta (tptp.seq_list_char (tptp.lAss_list_char Va_1 (tptp.val_list_char Va)) _let_1)) S) _let_1) S)))) (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL P))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj P) Q))) (tptp.hBOOL Q))) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_l512744617ion_ty (tptp.cOMBK_1294242658t_char P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP_l207779698on_val (tptp.cOMBK_1097134891t_char P) Q) P)) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1863694447l_bool tptp.cOMBB_383678192on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_f1033709212l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f603925568l_bool (tptp.hAPP_f181262431l_bool tptp.cOMBC_832625297y_bool P) Q) R) (tptp.hAPP_f1001225811y_bool (tptp.hAPP_f2060496320y_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1145256474l_bool (tptp.hAPP_f1452292669l_bool (tptp.hAPP_f1977633121l_bool tptp.cOMBB_1303934920on_val P) Q) R) (tptp.hAPP_b589554111l_bool P (tptp.hAPP_f61040418l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f2134824737l_bool (tptp.hAPP_f1308714617l_bool tptp.cOMBB_338347573on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P159683425l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f926562337l_bool (tptp.hAPP_f1560238713l_bool tptp.cOMBB_672625589on_val P) Q) R) (tptp.hAPP_bool_bool P (tptp.hAPP_P1708370145l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f550652027l_bool (tptp.hAPP_f838396643l_bool tptp.cOMBC_2027949654l_bool P) Q) R) (tptp.hAPP_f603925568l_bool (tptp.hAPP_f1617787571l_bool P R) Q))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f1008932791l_bool (tptp.hAPP_f2057883639l_bool tptp.cOMBB_1750801836on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_f1727192346on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f555424277l_bool (tptp.hAPP_f1734879897l_bool tptp.cOMBB_1522540928on_val P) Q) R) (tptp.hAPP_f1074020887l_bool P (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.cOMBS_570216337l_bool P Q) R) (tptp.hAPP_f1074020887l_bool (tptp.hAPP_f1492320500l_bool P R) (tptp.hAPP_f1175813647l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f318082871l_bool (tptp.hAPP_f1233687287l_bool tptp.cOMBB_171276332on_val P) Q) R) (tptp.hAPP_P1708370145l_bool P (tptp.hAPP_f1926378906on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1492320500l_bool (tptp.hAPP_f1523875321l_bool (tptp.hAPP_f592397849l_bool tptp.cOMBB_1718333400on_val P) Q) R) (tptp.hAPP_f1863694447l_bool P (tptp.hAPP_f1145256474l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1617787571l_bool (tptp.hAPP_f857351829l_bool (tptp.hAPP_f348318673l_bool tptp.cOMBB_1518282696on_val P) Q) R) (tptp.hAPP_f181262431l_bool P (tptp.hAPP_f1213370163y_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f1301559543l_bool (tptp.hAPP_f1825030711l_bool tptp.cOMBB_877741809on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_P1776198677on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P159683425l_bool (tptp.hAPP_f489055607l_bool (tptp.hAPP_f10074679l_bool tptp.cOMBB_1759207793on_val P) Q) R) (tptp.hAPP_P1708370145l_bool P (tptp.hAPP_P604205461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f1712766199l_bool (tptp.hAPP_f881985847l_bool tptp.cOMBB_1083177073on_val P) Q) R) (tptp.hAPP_P159683425l_bool P (tptp.hAPP_P789556885on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f546724245l_bool (tptp.hAPP_f917296015l_bool tptp.cOMBB_740252943t_char P) Q) R) (tptp.hAPP_f2134824737l_bool P (tptp.hAPP_e1833980889l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f1363667773l_bool (tptp.hAPP_f1050935001l_bool tptp.cOMBB_1153617344on_val P) Q) R) (tptp.hAPP_f1008932791l_bool P (tptp.hAPP_f1849790461on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f850751421l_bool (tptp.hAPP_f399538905l_bool tptp.cOMBB_1466889536on_val P) Q) R) (tptp.hAPP_f318082871l_bool P (tptp.hAPP_f1840640125on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1033709212l_bool (tptp.hAPP_f524589473l_bool (tptp.hAPP_f2052660463l_bool tptp.cOMBB_1292453606on_val P) Q) R) (tptp.hAPP_P282169671l_bool P (tptp.hAPP_f602593190on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f653692369l_bool (tptp.hAPP_f516738477l_bool tptp.cOMBB_819439237t_char P) Q) R) (tptp.hAPP_f1301559543l_bool P (tptp.hAPP_e108155315on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_e1833980889l_bool (tptp.hAPP_f439412817l_bool (tptp.hAPP_f1725502637l_bool tptp.cOMBB_1027621637t_char P) Q) R) (tptp.hAPP_f489055607l_bool P (tptp.hAPP_e1659493427on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1708370145l_bool (tptp.hAPP_f204771371l_bool (tptp.hAPP_f365540729l_bool tptp.cOMBB_1466662571on_val P) Q) R) (tptp.hAPP_P282169671l_bool P (tptp.hAPP_P1886180715on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f641257349l_bool (tptp.hAPP_f2032347769l_bool tptp.cOMBB_466903633on_val P) Q) R) (tptp.hAPP_f926562337l_bool P (tptp.hAPP_P1116729363l_bool Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_f1175813647l_bool (tptp.hAPP_f927043595l_bool (tptp.hAPP_f1043869573l_bool tptp.cOMBB_1259202826on_val P) Q) R) (tptp.hAPP_f524589473l_bool P (tptp.hAPP_f600512025on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1241216909l_bool (tptp.hAPP_f1438732387l_bool tptp.cOMBB_635947099on_val P) Q) R) (tptp.hAPP_f1712766199l_bool P (tptp.hAPP_P2083594489on_val Q R)))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP_P1116729363l_bool (tptp.hAPP_f1342895119l_bool (tptp.hAPP_f639265145l_bool tptp.cOMBB_364363975on_val P) Q) R) (tptp.hAPP_f204771371l_bool P (tptp.hAPP_P1870962205on_val Q R)))) _let_3 true))))))
% 0.22/0.67 )
% 0.22/0.67 % SZS output end Proof for SWW478+1
% 0.22/0.67 % cvc5---1.0.5 exiting
% 0.22/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------