TSTP Solution File: SYO671-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 04:16:55 EDT 2023

% Result   : Unsatisfiable 0.76s 1.02s
% Output   : Proof 0.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 06:30:51 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JW2Ji84Uw1/cvc5---1.0.5_26810.p...
% 0.20/0.53  ------- get file name : TPTP file name is SYO671-1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26810.smt2...
% 0.20/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.76/1.02  % SZS status Unsatisfiable for SYO671-1
% 0.76/1.02  % SZS output start Proof for SYO671-1
% 0.76/1.03  (
% 0.76/1.03  (let ((_let_1 (forall ((B_28 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f (tptp.suc (tptp.suc B_28))))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_28) _let_1))))))) (let ((_let_2 (forall ((B_35 $$unsorted)) (let ((_let_1 (tptp.f B_35))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| _let_1 |tptp.'0'|)))))) (let ((_let_3 (forall ((B_28 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f (tptp.suc B_28)))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_28) _let_1))))))) (let ((_let_4 (tptp.f tptp.z))) (let ((_let_5 (|tptp.'LE'| _let_4 |tptp.'0'|))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((B_35 $$unsorted)) (let ((_let_1 (tptp.f (tptp.suc B_35)))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| (tptp.f B_35) |tptp.'0'|)))))) (let ((_let_8 (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_30))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_30))) (let ((_let_4 (tptp.suc B_29))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_29))) (let ((_let_7 (tptp.suc A_2))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f A_2))) (let ((_let_10 (tptp.s |tptp.'0'|))) (or (not (|tptp.'E'| _let_10 _let_3)) (not (|tptp.'E'| _let_10 _let_2)) (not (|tptp.'E'| _let_10 _let_8)) (not (tptp.iLEQ _let_7 _let_4)) (not (|tptp.'E'| _let_10 _let_6)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_10 _let_5)) (not (|tptp.'E'| _let_10 _let_9)) (|tptp.'E'| _let_9 _let_8) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))))) (let ((_let_9 (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.suc A_3))) (let ((_let_2 (tptp.f A_3))) (let ((_let_3 (tptp.f _let_1))) (or (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| _let_2 _let_3)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (tptp.iLEQ _let_1 _let_1)))))))) (let ((_let_10 (forall ((B_16 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.f B_16))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| _let_2 _let_1))))))) (let ((_let_11 (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f A_1))) (let ((_let_3 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_4 (tptp.f _let_1))) (or (not (|tptp.'E'| _let_3 (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| _let_3 _let_4)) (not (|tptp.'E'| _let_2 _let_4)) (not (|tptp.'E'| _let_3 _let_2)) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_12 (forall ((B_35 $$unsorted)) (let ((_let_1 (tptp.f (tptp.suc (tptp.suc B_35))))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| (tptp.f B_35) |tptp.'0'|)))))) (let ((_let_13 (forall ((A_2 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_2))) (let ((_let_4 (tptp.s |tptp.'0'|))) (or (not (|tptp.'E'| _let_4 _let_3)) (not (|tptp.'E'| _let_4 _let_2)) (|tptp.'E'| _let_3 _let_2) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_14 (forall ((A_3 $$unsorted)) (let ((_let_1 (tptp.suc A_3))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_3))) (or (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (|tptp.'E'| _let_3 _let_2) (tptp.iLEQ _let_1 _let_1)))))))) (let ((_let_15 (forall ((A_2 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f A_2))) (let ((_let_3 (tptp.s |tptp.'0'|))) (let ((_let_4 (tptp.f _let_1))) (or (not (|tptp.'E'| _let_3 (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| _let_3 _let_4)) (not (|tptp.'E'| _let_2 _let_4)) (not (|tptp.'E'| _let_3 _let_2)) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_16 (forall ((B_36 $$unsorted) (B_37 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.suc B_37))) (let ((_let_2 (tptp.suc B_36))) (let ((_let_3 (tptp.suc A_3))) (let ((_let_4 (tptp.f _let_1))) (let ((_let_5 (tptp.f B_37))) (let ((_let_6 (tptp.f _let_3))) (let ((_let_7 (tptp.f A_3))) (let ((_let_8 (tptp.f _let_2))) (let ((_let_9 (tptp.f B_36))) (or (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_2)))) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_7)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_3)))) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_4)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| _let_5 _let_4)) (not (tptp.iLEQ _let_3 _let_2)) (not (tptp.iLEQ _let_2 _let_1))))))))))))))) (let ((_let_17 (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_18))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_18))) (let ((_let_4 (tptp.suc B_17))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_17))) (let ((_let_7 (tptp.suc A_1))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f A_1))) (let ((_let_10 (tptp.s (tptp.s |tptp.'0'|)))) (or (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_10 _let_5)) (not (|tptp.'E'| _let_10 _let_6)) (not (|tptp.'E'| _let_10 _let_8)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_10 _let_3)) (not (tptp.iLEQ _let_7 _let_4)) (not (|tptp.'E'| _let_10 _let_2)) (|tptp.'E'| _let_9 _let_8) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))))) (let ((_let_18 (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_30))) (let ((_let_2 (tptp.s |tptp.'0'|))) (let ((_let_3 (tptp.f A_2))) (let ((_let_4 (tptp.f _let_1))) (let ((_let_5 (tptp.f B_30))) (let ((_let_6 (tptp.suc A_2))) (let ((_let_7 (tptp.f _let_6))) (let ((_let_8 (tptp.suc B_29))) (let ((_let_9 (tptp.f _let_8))) (let ((_let_10 (tptp.f B_29))) (or (not (|tptp.'E'| _let_2 _let_5)) (not (|tptp.'E'| _let_2 _let_4)) (not (|tptp.'E'| _let_2 _let_7)) (not (tptp.iLEQ _let_6 _let_8)) (not (|tptp.'E'| _let_2 _let_10)) (not (tptp.iLEQ _let_8 _let_1)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_8)))) (not (|tptp.'E'| _let_2 _let_9)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_6)))) (not (|tptp.'E'| _let_3 _let_7)) (not (|tptp.'E'| _let_5 _let_4)) (not (|tptp.'E'| _let_2 _let_3)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_1)))))))))))))))))) (let ((_let_19 (forall ((A $$unsorted)) (|tptp.'LE'| (tptp.f A) (tptp.s (tptp.s (tptp.s |tptp.'0'|))))))) (let ((_let_20 (forall ((B_28 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f B_28))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| _let_2 _let_1))))))) (let ((_let_21 (forall ((B_36 $$unsorted) (A_3 $$unsorted) (B_37 $$unsorted)) (let ((_let_1 (tptp.suc B_37))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_37))) (let ((_let_4 (tptp.suc B_36))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_36))) (let ((_let_7 (tptp.suc A_3))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f A_3))) (or (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (tptp.iLEQ _let_7 _let_4)) (not (tptp.iLEQ _let_4 _let_1)) (|tptp.'E'| _let_9 _let_8) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2)))))))))))))) (let ((_let_22 (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_17))) (let ((_let_2 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_3 (tptp.suc B_18))) (let ((_let_4 (tptp.f _let_3))) (let ((_let_5 (tptp.suc A_1))) (let ((_let_6 (tptp.f _let_1))) (let ((_let_7 (tptp.f B_17))) (let ((_let_8 (tptp.f _let_5))) (let ((_let_9 (tptp.f A_1))) (let ((_let_10 (tptp.f B_18))) (or (not (|tptp.'E'| _let_2 _let_9)) (not (|tptp.'E'| _let_2 _let_6)) (not (|tptp.'E'| _let_2 _let_7)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_3)))) (not (|tptp.'E'| _let_2 _let_8)) (not (tptp.iLEQ _let_1 _let_3)) (not (|tptp.'E'| _let_2 _let_10)) (not (|tptp.'E'| _let_10 _let_4)) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| _let_7 _let_6)) (not (tptp.iLEQ _let_5 _let_1)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_5)))) (not (|tptp.'E'| _let_2 _let_4)) (not (|tptp.'E'| _let_2 (tptp.f (tptp.suc _let_1)))))))))))))))))) (let ((_let_23 (forall ((B_16 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.f (tptp.suc (tptp.suc B_16))))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_16) _let_1))))))) (let ((_let_24 (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_1))) (let ((_let_4 (tptp.s (tptp.s |tptp.'0'|)))) (or (not (|tptp.'E'| _let_4 _let_3)) (not (|tptp.'E'| _let_4 _let_2)) (|tptp.'E'| _let_3 _let_2) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_25 (forall ((B_16 $$unsorted)) (let ((_let_1 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_2 (tptp.f (tptp.suc B_16)))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_16) _let_1))))))) (let ((_let_26 (tptp.suc tptp.z))) (let ((_let_27 (tptp.f _let_26))) (let ((_let_28 (tptp.s |tptp.'0'|))) (let ((_let_29 (tptp.s _let_28))) (let ((_let_30 (|tptp.'E'| _let_29 _let_27))) (let ((_let_31 (|tptp.'E'| _let_29 _let_4))) (let ((_let_32 (|tptp.'E'| _let_4 _let_27))) (let ((_let_33 (|tptp.'LE'| _let_4 _let_29))) (let ((_let_34 (tptp.s _let_29))) (let ((_let_35 (|tptp.'LE'| _let_27 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_30 _let_33))) (let ((_let_38 (_let_25))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((tptp.suc B_16)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_25)))) (let ((_let_42 (_let_19))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.f A)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_35 false _let_19)))) (let ((_let_46 (tptp.suc _let_26))) (let ((_let_47 (tptp.f _let_46))) (let ((_let_48 (|tptp.'E'| _let_28 _let_47))) (let ((_let_49 (not _let_33))) (let ((_let_50 (|tptp.'LE'| _let_47 _let_29))) (let ((_let_51 (|tptp.'E'| _let_29 _let_47))) (let ((_let_52 (|tptp.'LE'| _let_47 _let_34))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_50))) (let ((_let_55 (_let_10))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((tptp.f B_16)))) (let ((_let_58 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)))) (let ((_let_59 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST _let_59 _let_43 :args (_let_52 false _let_19)))) (let ((_let_61 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_51 _let_53 _let_50 (not _let_54)))))) (let ((_let_62 (tptp.suc _let_46))) (let ((_let_63 (tptp.f _let_62))) (let ((_let_64 (|tptp.'LE'| _let_63 _let_34))) (let ((_let_65 (|tptp.'E'| _let_29 _let_63))) (let ((_let_66 (not _let_64))) (let ((_let_67 (or _let_66 _let_65 _let_50))) (let ((_let_68 (tptp.suc _let_62))) (let ((_let_69 (tptp.f _let_68))) (let ((_let_70 (|tptp.'LE'| _let_69 _let_34))) (let ((_let_71 (|tptp.'E'| _let_29 _let_69))) (let ((_let_72 (not _let_70))) (let ((_let_73 (or _let_72 _let_71 _let_50))) (let ((_let_74 (not _let_51))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_64 false _let_19)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_70 false _let_19)))) (let ((_let_77 (_let_23))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((tptp.suc (tptp.suc B_16))))) (let ((_let_80 (tptp.iLEQ _let_62 _let_62))) (let ((_let_81 (|tptp.'E'| _let_47 _let_63))) (let ((_let_82 (not _let_65))) (let ((_let_83 (not _let_80))) (let ((_let_84 (or _let_74 _let_82 _let_74 _let_82 _let_83 _let_74 _let_83 _let_82 _let_81 _let_81 _let_81))) (let ((_let_85 (not _let_71))) (let ((_let_86 (not _let_81))) (let ((_let_87 (or _let_74 _let_82 _let_74 _let_85 _let_82 _let_83 _let_74 _let_86 _let_86 _let_86 _let_83 _let_85 _let_82 _let_85))) (let ((_let_88 (or _let_74 _let_82 _let_81 _let_80))) (let ((_let_89 (or _let_85 _let_82 _let_86 _let_74 _let_80))) (let ((_let_90 (_let_24))) (let ((_let_91 (ASSUME :args _let_90))) (let 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_let_77)))) (let ((_let_274 (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_33 _let_51 _let_53 (not _let_269)))))) (let ((_let_275 (|tptp.'E'| _let_28 _let_4))) (let ((_let_276 (or _let_49 _let_275 _let_117))) (let ((_let_277 (not _let_275))) (let ((_let_278 (or _let_277 _let_255 _let_32 _let_125))) (let ((_let_279 (MACRO_RESOLUTION_TRUST _let_166 _let_165 _let_162 _let_161 :args ((or _let_130 _let_129 _let_128 _let_127) false _let_132 true _let_125 false _let_131)))) (let ((_let_280 (or _let_179 _let_255 _let_127 _let_277 _let_125))) (let ((_let_281 (MACRO_RESOLUTION_TRUST _let_271 _let_39 :args (_let_268 false _let_25)))) (let ((_let_282 (MACRO_RESOLUTION_TRUST _let_273 _let_78 :args (_let_269 false _let_23)))) (let ((_let_283 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_133)))) (let ((_let_284 (MACRO_RESOLUTION_TRUST _let_283 _let_134 :args (_let_267 false _let_3)))) (let ((_let_285 (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_117 _let_251 _let_249 (not _let_267)))))) (let ((_let_286 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_168)) _let_169 :args (_let_276 false _let_20)))) (let ((_let_287 (REORDERING (CNF_OR_POS :args (_let_276)) :args ((or _let_49 _let_275 _let_117 (not _let_276)))))) (let ((_let_288 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_247 :args (tptp.z QUANTIFIERS_INST_E_MATCHING _let_248)) :args _let_246)) _let_247 :args (_let_280 false _let_15)))) (let ((_let_289 (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_277 _let_125 _let_127 _let_255 _let_179 (not _let_280)))))) (let ((_let_290 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_239 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_238)) _let_239 :args (_let_278 false _let_13)))) (let ((_let_291 (REORDERING (CNF_OR_POS :args (_let_278)) :args ((or _let_277 _let_125 _let_32 _let_255 (not _let_278)))))) (let ((_let_292 (or _let_277 _let_255 _let_255 _let_126 _let_277 _let_126 _let_255 _let_277 _let_32 _let_32 _let_32))) (let ((_let_293 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_292))) :args ((or _let_277 _let_126 _let_32 _let_255 (not _let_292)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (tptp.z tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING (_let_237 _let_236))) :args _let_232)) _let_233 :args (_let_292 false _let_8)) _let_287 _let_286 _let_285 _let_284 _let_146 _let_145 _let_138 _let_157 _let_156 :args ((or _let_49 _let_129 _let_126 _let_32 _let_251) false _let_292 false _let_275 false _let_276 false _let_249 false _let_267 true _let_117 false _let_124 true _let_5 true _let_122 false _let_148)))) (let ((_let_294 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_149)) _let_150 :args (_let_270 false _let_14)))) (let ((_let_295 (REORDERING (CNF_OR_POS :args (_let_270)) :args ((or _let_130 _let_129 _let_254 _let_253 (not _let_270)))))) (let ((_let_296 (or _let_36 _let_30 _let_250))) (let ((_let_297 (or _let_66 _let_65 _let_250))) (let ((_let_298 (not _let_30))) (let ((_let_299 (or _let_298 _let_74 _let_298 _let_74 _let_259 _let_298 _let_259 _let_74 _let_254 _let_254 _let_254))) (let ((_let_300 (or _let_298 _let_74 _let_298 _let_82 _let_74 _let_259 _let_298 _let_257 _let_257 _let_257 _let_259 _let_82 _let_74 _let_82))) (let ((_let_301 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_296 false _let_10)))) (let ((_let_302 (REORDERING (CNF_OR_POS :args (_let_296)) :args ((or _let_30 _let_36 _let_250 (not _let_296)))))) (let ((_let_303 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_26 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_77)) _let_78 :args (_let_297 false _let_23)))) (let ((_let_304 (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_250 _let_65 _let_66 (not _let_297)))))) (let ((_let_305 (or _let_82 _let_74 _let_257 _let_298 _let_253))) (let ((_let_306 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_26 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_305 false _let_11)))) (let ((_let_307 (REORDERING (CNF_OR_POS :args (_let_305)) :args ((or _let_298 _let_74 _let_253 _let_257 _let_82 (not _let_305)))))) (let ((_let_308 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_26 _let_26 _let_26 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_96)) _let_97 :args (_let_299 false _let_17)))) (let ((_let_309 (REORDERING (FACTORING (CNF_OR_POS :args (_let_299))) :args ((or _let_298 _let_74 _let_254 _let_259 (not _let_299)))))) (let ((_let_310 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_26 _let_26 _let_26 QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_102)) _let_103 :args (_let_300 false _let_22)))) (let ((_let_311 (REORDERING (FACTORING (CNF_OR_POS :args (_let_300))) :args ((or _let_298 _let_74 _let_259 _let_257 _let_82 (not _let_300)))))) (let ((_let_312 (or _let_298 _let_74 _let_254 _let_253))) (let ((_let_313 (MACRO_RESOLUTION_TRUST _let_307 _let_306 (REORDERING (CNF_OR_POS :args (_let_312)) :args ((or _let_298 _let_74 _let_254 _let_253 (not _let_312)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_312 false _let_24)) (MACRO_RESOLUTION_TRUST _let_311 _let_310 _let_309 _let_308 :args ((or _let_298 _let_74 _let_259 _let_82) false _let_300 false _let_254 false _let_299)) _let_304 _let_303 _let_75 _let_272 _let_60 _let_281 _let_302 _let_45 _let_301 :args (_let_250 false _let_305 false _let_254 false _let_312 true _let_253 false _let_65 false _let_297 false _let_64 false _let_51 false _let_52 false _let_268 false _let_30 false _let_35 false _let_296)))) (let ((_let_314 (or _let_277 _let_255 _let_255 _let_126 _let_277 _let_126 _let_127 _let_179 _let_255 _let_179 _let_127 _let_127 _let_277 _let_179))) (let ((_let_315 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_146 _let_145 _let_138 (MACRO_RESOLUTION_TRUST _let_291 _let_290 _let_293 _let_313 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_314))) :args ((or _let_277 _let_126 _let_127 _let_255 _let_179 (not _let_314)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (tptp.z tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING _let_262)) :args _let_241)) _let_242 :args (_let_314 false _let_18)) _let_289 _let_288 :args ((or _let_277 _let_127 _let_255 _let_179) false _let_314 false _let_125 false _let_280)) _let_287 _let_286 _let_285 _let_313 _let_283 _let_134 :args ((or _let_49 _let_117 _let_129 _let_179) false _let_278 true _let_125 false _let_250 true _let_32 false _let_275 false _let_276 false _let_249 false _let_250 false _let_267 false _let_3)) (MACRO_RESOLUTION_TRUST _let_279 _let_158 :args ((or _let_130 _let_129 _let_128) false _let_32)) _let_142 _let_141 _let_138 (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_115 _let_177 _let_175 (not _let_178)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_26 QUANTIFIERS_INST_E_MATCHING _let_225)) :args _let_136)) _let_137 :args (_let_178 false _let_1)) _let_206 (MACRO_RESOLUTION_TRUST _let_142 _let_141 _let_138 (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_115 _let_251 _let_249 (not _let_252)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_170)) :args _let_168)) _let_169 :args (_let_252 false _let_20)) _let_313 (MACRO_RESOLUTION_TRUST _let_279 _let_158 _let_146 _let_145 _let_138 _let_285 _let_284 (MACRO_RESOLUTION_TRUST _let_311 _let_310 _let_309 _let_308 (MACRO_RESOLUTION_TRUST _let_307 _let_306 _let_295 _let_294 :args ((or _let_130 _let_129 _let_298 _let_74 _let_253 _let_82) false _let_305 false _let_254 false _let_270)) _let_304 _let_303 _let_75 _let_302 _let_45 _let_301 :args ((or _let_130 _let_129 _let_74 _let_250) false _let_300 false _let_254 false _let_299 false _let_253 false _let_65 false _let_297 false _let_64 false _let_30 false _let_35 false _let_296)) (MACRO_RESOLUTION_TRUST _let_265 _let_264 _let_295 _let_294 _let_263 _let_285 _let_284 _let_146 _let_145 _let_138 _let_279 _let_293 (MACRO_RESOLUTION_TRUST _let_291 _let_290 _let_287 _let_286 _let_285 _let_284 _let_146 _let_145 _let_138 _let_153 _let_152 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_274 _let_282 _let_60 _let_272 _let_60 _let_281 :args ((or _let_117 _let_51 _let_125 _let_127 _let_179) false _let_280 false _let_275 false _let_276 false _let_249 false _let_267 false _let_33 false _let_269 false _let_52 false _let_250 false _let_52 false _let_268)) _let_146 _let_145 _let_138 _let_167 _let_279 _let_61 _let_58 _let_56 _let_59 _let_43 :args ((or _let_130 _let_129 _let_51 _let_125 _let_127) true _let_117 false _let_124 true _let_5 false _let_48 true _let_122 false _let_50 false _let_54 false _let_10 false _let_52 false _let_19)) _let_272 _let_271 _let_39 _let_274 _let_59 _let_43 _let_273 _let_78 :args ((or _let_130 _let_129 _let_51 _let_125) false _let_278 false _let_275 false _let_276 false _let_249 false _let_267 true _let_117 false _let_124 true _let_5 true _let_122 false _let_147 true _let_32 false _let_250 false _let_268 false _let_25 false _let_33 false _let_52 false _let_19 false _let_269 false _let_23)) _let_274 _let_273 _let_78 _let_272 _let_271 _let_39 _let_59 _let_43 :args ((or _let_130 _let_129 _let_51 _let_179 _let_227) false _let_258 false _let_254 false _let_270 true _let_253 false _let_249 false _let_267 true _let_117 false _let_124 true _let_5 true 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (_let_46 _let_46 _let_46 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iLEQ _let_245 _let_244) false)) (not (= (|tptp.'E'| (tptp.f A_2) (tptp.f _let_243)) false))))) :args _let_241)) _let_242 :args (_let_228 false _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_179 _let_227 _let_80 _let_81 (not _let_231)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_239 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_238)) _let_239 :args (_let_231 false _let_13)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_230))) :args ((or _let_179 _let_227 _let_83 _let_81 (not _let_230)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_233 :args (_let_46 _let_46 _let_46 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.iLEQ _let_234 _let_237) false)) _let_236))) :args _let_232)) _let_233 :args (_let_230 false _let_8)) :args ((or _let_179 _let_227 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(INSTANTIATE _let_97 :args (_let_46 _let_46 _let_46 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_96)) _let_97 :args (_let_84 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_74 _let_82 _let_85 _let_80 _let_86 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_46 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_89 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_74 _let_82 _let_80 _let_81 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_88 false _let_24)) :args ((or _let_74 _let_82 _let_85 _let_80) false _let_89 false _let_81 false _let_88)) :args ((or _let_74 _let_82 _let_85) false _let_87 false _let_81 false _let_84 false _let_80)) (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_50 _let_71 _let_72 (not 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((_let_319 (or _let_318 _let_31 _let_33))) (let ((_let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_319 false _let_10)))) (let ((_let_321 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_42)) _let_43 :args (_let_317 false _let_19)))) (let ((_let_322 (REORDERING (CNF_OR_POS :args (_let_319)) :args ((or _let_33 _let_318 _let_31 (not _let_319)))))) (let ((_let_323 (not _let_31))) (let ((_let_324 (or _let_74 _let_298 _let_127 _let_323 _let_125))) (let ((_let_325 (or _let_323 _let_298 _let_323 _let_74 _let_298 _let_126 _let_323 _let_127 _let_127 _let_127 _let_126 _let_74 _let_298 _let_74))) (let ((_let_326 (or _let_323 _let_298 _let_32 _let_125))) (let ((_let_327 (or _let_323 _let_298 _let_323 _let_298 _let_126 _let_323 _let_126 _let_298 _let_32 _let_32 _let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_327))) :args ((or _let_323 _let_298 _let_126 _let_32 (not _let_327)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.z tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_96)) _let_97 :args (_let_327 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_326)) :args ((or _let_323 _let_298 _let_125 _let_32 (not _let_326)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_90)) _let_91 :args (_let_326 false _let_24)) :args ((or _let_323 _let_298 _let_32) false _let_327 false _let_125 false _let_326)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_324)) :args ((or _let_323 _let_298 _let_74 _let_125 _let_127 (not _let_324)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.z QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_93)) _let_94 :args (_let_324 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_325))) :args ((or _let_323 _let_298 _let_74 _let_126 _let_127 (not _let_325)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.z tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING (_let_204 _let_205 _let_224))) :args _let_102)) _let_103 :args (_let_325 false _let_22)) _let_274 _let_282 _let_60 _let_316 _let_41 _let_45 _let_322 _let_321 _let_320 :args ((or _let_33 _let_126 _let_127) false _let_325 false _let_51 false _let_269 false _let_52 false _let_30 false _let_37 false _let_35 false _let_31 false _let_317 false _let_319)) _let_274 _let_282 _let_60 _let_316 _let_41 _let_45 _let_322 _let_321 _let_320 :args ((or _let_33 _let_127) false _let_324 true _let_125 false _let_51 false _let_269 false _let_52 false _let_30 false _let_37 false _let_35 false _let_31 false _let_317 false _let_319)) _let_315 :args (_let_127 true _let_33)) (MACRO_RESOLUTION_TRUST _let_322 _let_315 _let_321 _let_320 :args (_let_31 true _let_33 false _let_317 false _let_319)) (MACRO_RESOLUTION_TRUST _let_316 _let_315 _let_45 _let_41 :args (_let_30 true _let_33 false _let_35 false _let_37)) :args (false true _let_32 false _let_31 false _let_30)) :args ((forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_30))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_30))) (let ((_let_4 (tptp.suc B_29))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_29))) (let ((_let_7 (tptp.f A_2))) (let ((_let_8 (tptp.s |tptp.'0'|))) (let ((_let_9 (tptp.suc A_2))) (let ((_let_10 (tptp.f _let_9))) (or (not (|tptp.'E'| _let_8 _let_3)) (not (|tptp.'E'| _let_8 _let_2)) (not (|tptp.'E'| _let_8 _let_10)) (not (tptp.iLEQ _let_9 _let_4)) (not (|tptp.'E'| _let_8 _let_6)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_8 _let_5)) (not (|tptp.'E'| _let_8 (tptp.f (tptp.suc _let_9)))) (not (|tptp.'E'| _let_7 _let_10)) (not (|tptp.'E'| _let_8 _let_7)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_18))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_18))) (let ((_let_4 (tptp.suc A_1))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_1))) (let ((_let_7 (tptp.suc B_17))) (let ((_let_8 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_9 (tptp.f _let_7))) (let ((_let_10 (tptp.f B_17))) (or (not (|tptp.'E'| _let_8 _let_6)) (not (|tptp.'E'| _let_8 _let_9)) (not (|tptp.'E'| _let_8 _let_10)) (not (|tptp.'E'| _let_8 _let_5)) (not (tptp.iLEQ _let_7 _let_1)) (not (|tptp.'E'| _let_8 _let_3)) (not (|tptp.'E'| _let_10 _let_9)) (not (tptp.iLEQ _let_4 _let_7)) (not (|tptp.'E'| _let_8 _let_2)) (not (|tptp.'E'| _let_8 (tptp.f (tptp.suc _let_7)))) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_17))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_17))) (let ((_let_4 (tptp.suc A_1))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_1))) (let ((_let_7 (tptp.suc B_18))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_10 (tptp.f B_18))) (or (not (|tptp.'E'| _let_9 _let_6)) (not (|tptp.'E'| _let_9 _let_2)) (not (|tptp.'E'| _let_9 _let_3)) (not (|tptp.'E'| _let_9 (tptp.f (tptp.suc _let_7)))) (not (|tptp.'E'| _let_9 _let_5)) (not (tptp.iLEQ _let_1 _let_7)) (not (|tptp.'E'| _let_9 _let_10)) (not (|tptp.'E'| _let_10 _let_8)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_9 _let_8)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_25 _let_24 _let_23 (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_18))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_18))) (let ((_let_4 (tptp.suc B_17))) (let ((_let_5 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_6 (tptp.suc A_1))) (let ((_let_7 (tptp.f _let_4))) (let ((_let_8 (tptp.f B_17))) (let ((_let_9 (tptp.f _let_6))) (let ((_let_10 (tptp.f A_1))) (or (not (|tptp.'E'| _let_5 _let_10)) (not (|tptp.'E'| _let_5 _let_7)) (not (|tptp.'E'| _let_5 _let_8)) (not (|tptp.'E'| _let_5 _let_9)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_5 _let_3)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_8 _let_7)) (not (tptp.iLEQ _let_6 _let_4)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_6)))) (not (|tptp.'E'| _let_5 _let_2)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_4)))) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_1))) (let ((_let_4 (tptp.suc B_17))) (let ((_let_5 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_6 (tptp.suc B_18))) (let ((_let_7 (tptp.f _let_6))) (let ((_let_8 (tptp.f _let_4))) (let ((_let_9 (tptp.f B_17))) (let ((_let_10 (tptp.f B_18))) (or (not (|tptp.'E'| _let_5 _let_3)) (not (|tptp.'E'| _let_5 _let_8)) (not (|tptp.'E'| _let_5 _let_9)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_6)))) (not (|tptp.'E'| _let_5 _let_2)) (not (tptp.iLEQ _let_4 _let_6)) (not (|tptp.'E'| _let_5 _let_10)) (not (|tptp.'E'| _let_10 _let_7)) (not (|tptp.'E'| _let_9 _let_8)) (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| _let_5 _let_7)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_4)))) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_29))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_29))) (let ((_let_4 (tptp.suc A_2))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_2))) (let ((_let_7 (tptp.suc B_30))) (let ((_let_8 (tptp.s |tptp.'0'|))) (let ((_let_9 (tptp.f _let_7))) (let ((_let_10 (tptp.f B_30))) (or (not (|tptp.'E'| _let_8 _let_10)) (not (|tptp.'E'| _let_8 _let_9)) (not (|tptp.'E'| _let_8 _let_5)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_8 _let_3)) (not (tptp.iLEQ _let_1 _let_7)) (not (|tptp.'E'| _let_8 _let_2)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_8 _let_6)) (not (|tptp.'E'| _let_8 (tptp.f (tptp.suc _let_7)))) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_30))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_30))) (let ((_let_4 (tptp.suc A_2))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_2))) (let ((_let_7 (tptp.s |tptp.'0'|))) (let ((_let_8 (tptp.suc B_29))) (let ((_let_9 (tptp.f _let_8))) (let ((_let_10 (tptp.f B_29))) (or (not (|tptp.'E'| _let_7 _let_3)) (not (|tptp.'E'| _let_7 _let_2)) (not (|tptp.'E'| _let_7 _let_5)) (not (tptp.iLEQ _let_4 _let_8)) (not (|tptp.'E'| _let_7 _let_10)) (not (tptp.iLEQ _let_8 _let_1)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_8)))) (not (|tptp.'E'| _let_7 _let_9)) (not (|tptp.'E'| _let_7 _let_6)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_17))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_17))) (let ((_let_4 (tptp.suc B_18))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_7 (tptp.suc A_1))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f A_1))) (let ((_let_10 (tptp.f B_18))) (or (not (|tptp.'E'| _let_6 _let_9)) (not (|tptp.'E'| _let_6 _let_2)) (not (|tptp.'E'| _let_6 _let_3)) (not (|tptp.'E'| _let_6 (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| _let_6 _let_8)) (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| _let_6 _let_10)) (not (|tptp.'E'| _let_10 _let_5)) (not (|tptp.'E'| _let_9 _let_8)) (not (tptp.iLEQ _let_7 _let_1)) (not (|tptp.'E'| _let_6 (tptp.f (tptp.suc _let_7)))) (not (|tptp.'E'| _let_6 _let_5)) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_13 (forall ((B_36 $$unsorted) (A_3 $$unsorted) (B_37 $$unsorted)) (let ((_let_1 (tptp.suc B_37))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_37))) (let ((_let_4 (tptp.suc A_3))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_3))) (let ((_let_7 (tptp.suc B_36))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f B_36))) (or (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_7)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (tptp.iLEQ _let_4 _let_7)) (not (tptp.iLEQ _let_7 _let_1)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2)))))))))))) _let_12 _let_11 (forall ((B_36 $$unsorted) (B_37 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.suc B_36))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_36))) (let ((_let_4 (tptp.suc A_3))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_3))) (let ((_let_7 (tptp.suc B_37))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f B_37))) (or (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_7)))) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| _let_9 _let_8)) (not (tptp.iLEQ _let_4 _let_1)) (not (tptp.iLEQ _let_1 _let_7)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2)))))))))))) (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_2))) (let ((_let_4 (tptp.suc B_30))) (let ((_let_5 (tptp.s |tptp.'0'|))) (let ((_let_6 (tptp.f _let_4))) (let ((_let_7 (tptp.f B_30))) (let ((_let_8 (tptp.suc B_29))) (let ((_let_9 (tptp.f _let_8))) (let ((_let_10 (tptp.f B_29))) (or (not (|tptp.'E'| _let_5 _let_7)) (not (|tptp.'E'| _let_5 _let_6)) (not (|tptp.'E'| _let_5 _let_2)) (not (tptp.iLEQ _let_1 _let_8)) (not (|tptp.'E'| _let_5 _let_10)) (not (tptp.iLEQ _let_8 _let_4)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_8)))) (not (|tptp.'E'| _let_5 _let_9)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_5 _let_3)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_4)))) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_10 _let_9 _let_8 _let_7 (forall ((B_36 $$unsorted) (A_3 $$unsorted) (B_37 $$unsorted)) (let ((_let_1 (tptp.suc B_37))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_37))) (let ((_let_4 (tptp.suc B_36))) (let ((_let_5 (tptp.suc A_3))) (let ((_let_6 (tptp.f _let_5))) (let ((_let_7 (tptp.f A_3))) (let ((_let_8 (tptp.f _let_4))) (let ((_let_9 (tptp.f B_36))) (or (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_7)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_5)))) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (tptp.iLEQ _let_5 _let_4)) (not (tptp.iLEQ _let_4 _let_1)) (|tptp.'E'| _let_3 _let_2)))))))))))) (forall ((B_36 $$unsorted) (A_3 $$unsorted) (B_37 $$unsorted)) (let ((_let_1 (tptp.suc B_37))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_37))) (let ((_let_4 (tptp.suc B_36))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_36))) (let ((_let_7 (tptp.suc A_3))) (let ((_let_8 (tptp.f _let_7))) (let ((_let_9 (tptp.f A_3))) (or (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_7)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (tptp.iLEQ _let_7 _let_4)) (not (tptp.iLEQ _let_4 _let_1)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2)))))))))))) (forall ((A_1 $$unsorted) (B_17 $$unsorted) (B_18 $$unsorted)) (let ((_let_1 (tptp.suc B_18))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_18))) (let ((_let_4 (tptp.suc B_17))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_17))) (let ((_let_7 (tptp.s (tptp.s |tptp.'0'|)))) (let ((_let_8 (tptp.suc A_1))) (let ((_let_9 (tptp.f _let_8))) (let ((_let_10 (tptp.f A_1))) (or (not (|tptp.'E'| _let_7 _let_10)) (not (|tptp.'E'| _let_7 _let_5)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_7 _let_9)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_7 _let_3)) (not (|tptp.'E'| _let_10 _let_9)) (not (tptp.iLEQ _let_8 _let_4)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_8)))) (not (|tptp.'E'| _let_7 _let_2)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_6 (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_30))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_30))) (let ((_let_4 (tptp.f A_2))) (let ((_let_5 (tptp.s |tptp.'0'|))) (let ((_let_6 (tptp.suc A_2))) (let ((_let_7 (tptp.f _let_6))) (let ((_let_8 (tptp.suc B_29))) (let ((_let_9 (tptp.f _let_8))) (let ((_let_10 (tptp.f B_29))) (or (not (|tptp.'E'| _let_5 _let_3)) (not (|tptp.'E'| _let_5 _let_2)) (not (|tptp.'E'| _let_5 _let_7)) (not (tptp.iLEQ _let_6 _let_8)) (not (|tptp.'E'| _let_5 _let_10)) (not (tptp.iLEQ _let_8 _let_1)) (not (|tptp.'E'| _let_10 _let_9)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_8)))) (not (|tptp.'E'| _let_5 _let_9)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_6)))) (not (|tptp.'E'| _let_4 _let_7)) (not (|tptp.'E'| _let_5 _let_4)) (|tptp.'E'| _let_3 _let_2))))))))))))) _let_3 (forall ((B_36 $$unsorted) (B_37 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.suc B_36))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_36))) (let ((_let_4 (tptp.suc B_37))) (let ((_let_5 (tptp.suc A_3))) (let ((_let_6 (tptp.f _let_4))) (let ((_let_7 (tptp.f B_37))) (let ((_let_8 (tptp.f _let_5))) (let ((_let_9 (tptp.f A_3))) (or (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_5)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_7)) (not (|tptp.'E'| _let_7 _let_6)) (not (tptp.iLEQ _let_5 _let_1)) (not (tptp.iLEQ _let_1 _let_4)) (|tptp.'E'| _let_3 _let_2)))))))))))) (forall ((B_30 $$unsorted) (A_2 $$unsorted) (B_29 $$unsorted)) (let ((_let_1 (tptp.suc B_29))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_29))) (let ((_let_4 (tptp.suc B_30))) (let ((_let_5 (tptp.s |tptp.'0'|))) (let ((_let_6 (tptp.f A_2))) (let ((_let_7 (tptp.f _let_4))) (let ((_let_8 (tptp.f B_30))) (let ((_let_9 (tptp.suc A_2))) (let ((_let_10 (tptp.f _let_9))) (or (not (|tptp.'E'| _let_5 _let_8)) (not (|tptp.'E'| _let_5 _let_7)) (not (|tptp.'E'| _let_5 _let_10)) (not (tptp.iLEQ _let_9 _let_1)) (not (|tptp.'E'| _let_5 _let_3)) (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| _let_5 _let_2)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_9)))) (not (|tptp.'E'| _let_6 _let_10)) (not (|tptp.'E'| _let_8 _let_7)) (not (|tptp.'E'| _let_5 _let_6)) (not (|tptp.'E'| _let_5 (tptp.f (tptp.suc _let_4)))) (|tptp.'E'| _let_3 _let_2))))))))))))) (forall ((B_36 $$unsorted) (B_37 $$unsorted) (A_3 $$unsorted)) (let ((_let_1 (tptp.suc A_3))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_3))) (let ((_let_4 (tptp.suc B_37))) (let ((_let_5 (tptp.suc B_36))) (let ((_let_6 (tptp.f _let_4))) (let ((_let_7 (tptp.f B_37))) (let ((_let_8 (tptp.f _let_5))) (let ((_let_9 (tptp.f B_36))) (or (not (|tptp.'E'| |tptp.'0'| _let_9)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_5)))) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| _let_9 _let_8)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| |tptp.'0'| _let_7)) (not (|tptp.'E'| _let_7 _let_6)) (not (tptp.iLEQ _let_1 _let_5)) (not (tptp.iLEQ _let_5 _let_4)) (|tptp.'E'| _let_3 _let_2)))))))))))) _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.76/1.04  )
% 0.76/1.04  % SZS output end Proof for SYO671-1
% 0.76/1.04  % cvc5---1.0.5 exiting
% 0.76/1.04  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------