%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP011+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 03:14:40 EDT 2023

% Result   : Theorem 33.46s 33.64s
% Output   : Proof 33.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : ITP011+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 11:17:39 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 33.46/33.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BEEJMQfcT3/cvc5---1.0.5_12702.p...
% 33.46/33.64  ------- get file name : TPTP file name is ITP011+2
% 33.46/33.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12702.smt2...
% 33.46/33.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 33.46/33.64  --- Run --no-e-matching --full-saturate-quant at 5...
% 33.46/33.64  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 33.46/33.64  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 33.46/33.64  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 33.46/33.64  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.46/33.64  % SZS status Theorem for ITP011+2
% 33.46/33.64  % SZS output start Proof for ITP011+2
% 33.46/33.64  (
% 33.46/33.64  (let ((_let_1 (not (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((V0R $$unsorted)) (=> (tptp.mem V0R (tptp.arr A_27a (tptp.arr A_27a tptp.bool))) (forall ((V1x $$unsorted)) (=> (tptp.mem V1x A_27a) (forall ((V2y $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ESOME A_27a))) (let ((_let_2 (tptp.ap _let_1 V2y))) (let ((_let_3 (tptp.ap (tptp.c_2Eoption_2EOPTREL A_27a A_27a) V0R))) (let ((_let_4 (tptp.ap _let_3 (tptp.ap _let_1 V1x)))) (let ((_let_5 (tptp.c_2Eoption_2ENONE A_27a))) (let ((_let_6 (tptp.ap _let_3 _let_5))) (=> (tptp.mem V2y A_27a) (and (= (tptp.p (tptp.ap _let_6 _let_5)) true) (= (tptp.p (tptp.ap _let_4 _let_5)) false) (= (tptp.p (tptp.ap _let_6 _let_2)) false) (= (tptp.p (tptp.ap _let_4 _let_2)) (tptp.p (tptp.ap (tptp.ap V0R V1x) V2y))))))))))))))))))))) (let ((_let_2 (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((A_27b $$unsorted)) (=> (tptp.ne A_27b) (forall ((V0R $$unsorted)) (=> (tptp.mem V0R (tptp.arr A_27a (tptp.arr A_27b tptp.bool))) (forall ((V1x $$unsorted)) (=> (tptp.mem V1x (tptp.ty_2Eoption_2Eoption A_27a)) (forall ((V2y $$unsorted)) (=> (tptp.mem V2y (tptp.ty_2Eoption_2Eoption A_27b)) (= (tptp.p (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2EOPTREL A_27a A_27b) V0R) V1x) V2y)) (or (and (= V1x (tptp.c_2Eoption_2ENONE A_27a)) (= V2y (tptp.c_2Eoption_2ENONE A_27b))) (exists ((V3x0 $$unsorted)) (and (tptp.mem V3x0 A_27a) (exists ((V4y0 $$unsorted)) (and (tptp.mem V4y0 A_27b) (= V1x (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V3x0)) (= V2y (tptp.ap (tptp.c_2Eoption_2ESOME A_27b) V4y0)) (tptp.p (tptp.ap (tptp.ap V0R V3x0) V4y0)))))))))))))))))))) (let ((_let_3 (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((A_27b $$unsorted)) (=> (tptp.ne A_27b) (forall ((V0e $$unsorted)) (=> (tptp.mem V0e A_27b) (forall ((V1f $$unsorted)) (=> (tptp.mem V1f (tptp.arr A_27a A_27b)) (forall ((V2e $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ENONE A_27a))) (let ((_let_2 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.mem V2e _let_2) (and (forall ((V3x $$unsorted)) (=> (tptp.mem V3x A_27a) (forall ((V4y $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ESOME A_27a))) (=> (tptp.mem V4y A_27a) (= (= (tptp.ap _let_1 V3x) (tptp.ap _let_1 V4y)) (= V3x V4y))))))) (forall ((V5x $$unsorted)) (=> (tptp.mem V5x A_27a) (= (tptp.ap (tptp.c_2Eoption_2ETHE A_27a) (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V5x)) V5x))) (forall ((V6x $$unsorted)) (=> (tptp.mem V6x A_27a) (not (= (tptp.c_2Eoption_2ENONE A_27a) (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V6x))))) (forall ((V7x $$unsorted)) (=> (tptp.mem V7x A_27a) (not (= (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V7x) (tptp.c_2Eoption_2ENONE A_27a))))) (forall ((V8x $$unsorted)) (=> (tptp.mem V8x A_27a) (= (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V8x))) true))) (= (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) _let_1)) false) (forall ((V9x $$unsorted)) (=> (tptp.mem V9x (tptp.ty_2Eoption_2Eoption A_27a)) (= (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__NONE A_27a) V9x)) (= V9x (tptp.c_2Eoption_2ENONE A_27a))))) (forall ((V10x $$unsorted)) (=> (tptp.mem V10x (tptp.ty_2Eoption_2Eoption A_27a)) (= (not (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) V10x))) (= V10x (tptp.c_2Eoption_2ENONE A_27a))))) (forall ((V11x $$unsorted)) (=> (tptp.mem V11x (tptp.ty_2Eoption_2Eoption A_27a)) (=> (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) V11x)) (= (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) (tptp.ap (tptp.c_2Eoption_2ETHE A_27a) V11x)) V11x)))) (forall ((V12x $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.mem V12x _let_1) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a _let_1) V12x) (tptp.c_2Eoption_2ENONE A_27a)) (tptp.c_2Eoption_2ESOME A_27a)) V12x)))) (forall ((V13x $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.mem V13x _let_1) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a _let_1) V13x) V13x) (tptp.c_2Eoption_2ESOME A_27a)) V13x)))) (forall ((V14x $$unsorted)) (=> (tptp.mem V14x (tptp.ty_2Eoption_2Eoption A_27a)) (=> (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__NONE A_27a) V14x)) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a A_27b) V14x) V0e) V1f) V0e)))) (forall ((V15x $$unsorted)) (=> (tptp.mem V15x (tptp.ty_2Eoption_2Eoption A_27a)) (=> (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) V15x)) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a A_27b) V15x) V0e) V1f) (tptp.ap V1f (tptp.ap (tptp.c_2Eoption_2ETHE A_27a) V15x)))))) (forall ((V16x $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.mem V16x _let_1) (=> (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__SOME A_27a) V16x)) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a _let_1) V16x) V2e) (tptp.c_2Eoption_2ESOME A_27a)) V16x))))) (forall ((V17v $$unsorted)) (=> (tptp.mem V17v A_27b) (forall ((V18f $$unsorted)) (=> (tptp.mem V18f (tptp.arr A_27a A_27b)) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a A_27b) (tptp.c_2Eoption_2ENONE A_27a)) V17v) V18f) V17v))))) (forall ((V19x $$unsorted)) (=> (tptp.mem V19x A_27a) (forall ((V20v $$unsorted)) (=> (tptp.mem V20v A_27b) (forall ((V21f $$unsorted)) (=> (tptp.mem V21f (tptp.arr A_27a A_27b)) (= (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2Eoption__CASE A_27a A_27b) (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V19x)) V20v) V21f) (tptp.ap V21f V19x)))))))) (forall ((V22f $$unsorted)) (=> (tptp.mem V22f (tptp.arr A_27a A_27b)) (forall ((V23x $$unsorted)) (=> (tptp.mem V23x A_27a) (= (tptp.ap (tptp.ap (tptp.c_2Eoption_2EOPTION__MAP A_27a A_27b) V22f) (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V23x)) (tptp.ap (tptp.c_2Eoption_2ESOME A_27b) (tptp.ap V22f V23x))))))) (forall ((V24f $$unsorted)) (=> (tptp.mem V24f (tptp.arr A_27a A_27b)) (= (tptp.ap (tptp.ap (tptp.c_2Eoption_2EOPTION__MAP A_27a A_27b) V24f) (tptp.c_2Eoption_2ENONE A_27a)) (tptp.c_2Eoption_2ENONE A_27b)))) (= (tptp.ap (tptp.c_2Eoption_2EOPTION__JOIN A_27a) (tptp.c_2Eoption_2ENONE _let_2)) _let_1) (forall ((V25x $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.mem V25x _let_1) (= (tptp.ap (tptp.c_2Eoption_2EOPTION__JOIN A_27a) (tptp.ap (tptp.c_2Eoption_2ESOME _let_1) V25x)) V25x))))))))))))))))))) (let ((_let_4 (tptp.arr tptp.bool tptp.bool))) (let ((_let_5 (tptp.arr tptp.bool _let_4))) (let ((_let_6 (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2ENONE A_27a) (tptp.ty_2Eoption_2Eoption A_27a)))))) (let ((_let_7 (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2ESOME A_27a) (tptp.arr A_27a (tptp.ty_2Eoption_2Eoption A_27a))))))) (let ((_let_8 (tptp.mem tptp.c_2Ebool_2EF tptp.bool))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.mem (tptp.ap F X) B))))))) (let ((_let_10 (tptp.ne tptp.bool))) (let ((_let_11 (forall ((V3x0 $$unsorted) (BOUND_VARIABLE_3299 $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ESOME SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.mem V3x0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (= (tptp.ap _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.ap _let_1 V3x0))) (not (tptp.mem BOUND_VARIABLE_3299 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (= (tptp.ap _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.ap _let_1 BOUND_VARIABLE_3299))) (not (tptp.p (tptp.ap (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 V3x0) BOUND_VARIABLE_3299)))))))) (let ((_let_12 (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (tptp.p (tptp.ap _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14))) (let ((_let_20 (not _let_11))) (let ((_let_21 (tptp.c_2Eoption_2ESOME SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (tptp.c_2Eoption_2ENONE SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (= _let_23 _let_25))) (let ((_let_27 (and _let_26 _let_24))) (let ((_let_28 (or _let_27 _let_20))) (let ((_let_29 (tptp.ap (tptp.c_2Eoption_2EOPTREL SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_30 (tptp.ap _let_29 _let_25))) (let ((_let_31 (tptp.p (tptp.ap _let_30 _let_22)))) (let ((_let_32 (= _let_31 _let_28))) (let ((_let_33 (not _let_28))) (let ((_let_34 (tptp.ty_2Eoption_2Eoption SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (tptp.mem _let_22 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.mem _let_25 _let_34))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool))) (let ((_let_40 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.ne SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_43 _let_41 _let_38 _let_36 _let_32))) (let ((_let_45 (forall ((A_27a $$unsorted) (BOUND_VARIABLE_3457 $$unsorted) (BOUND_VARIABLE_3455 $$unsorted) (BOUND_VARIABLE_3453 $$unsorted) (BOUND_VARIABLE_3451 $$unsorted)) (or (not (tptp.ne A_27a)) (not (tptp.ne BOUND_VARIABLE_3451)) (not (tptp.mem BOUND_VARIABLE_3457 (tptp.arr A_27a (tptp.arr BOUND_VARIABLE_3451 tptp.bool)))) (not (tptp.mem BOUND_VARIABLE_3453 (tptp.ty_2Eoption_2Eoption A_27a))) (not (tptp.mem BOUND_VARIABLE_3455 (tptp.ty_2Eoption_2Eoption BOUND_VARIABLE_3451))) (= (tptp.p (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2EOPTREL A_27a BOUND_VARIABLE_3451) BOUND_VARIABLE_3457) BOUND_VARIABLE_3453) BOUND_VARIABLE_3455)) (or (and (= (tptp.c_2Eoption_2ENONE A_27a) BOUND_VARIABLE_3453) (= BOUND_VARIABLE_3455 (tptp.c_2Eoption_2ENONE BOUND_VARIABLE_3451))) (not (forall ((V3x0 $$unsorted) (BOUND_VARIABLE_3299 $$unsorted)) (or (not (tptp.mem V3x0 A_27a)) (not (= (tptp.ap (tptp.c_2Eoption_2ESOME A_27a) V3x0) BOUND_VARIABLE_3453)) (not (tptp.mem BOUND_VARIABLE_3299 BOUND_VARIABLE_3451)) (not (= BOUND_VARIABLE_3455 (tptp.ap (tptp.c_2Eoption_2ESOME BOUND_VARIABLE_3451) BOUND_VARIABLE_3299))) (not (tptp.p (tptp.ap (tptp.ap BOUND_VARIABLE_3457 V3x0) BOUND_VARIABLE_3299)))))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 ((tptp.p (tptp.ap (tptp.ap (tptp.ap (tptp.c_2Eoption_2EOPTREL A_27a BOUND_VARIABLE_3451) BOUND_VARIABLE_3457) BOUND_VARIABLE_3453) BOUND_VARIABLE_3455))))) (let ((_let_49 (tptp.mem _let_21 (tptp.arr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34)))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_16 _let_35))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (F $$unsorted) (BOUND_VARIABLE_1467 $$unsorted)) (or (not (tptp.mem F (tptp.arr A B))) (not (tptp.mem BOUND_VARIABLE_1467 A)) (tptp.mem (tptp.ap F BOUND_VARIABLE_1467) B))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (or _let_43 _let_49))) (let ((_let_56 (forall ((A_27a $$unsorted)) (or (not (tptp.ne A_27a)) (tptp.mem (tptp.c_2Eoption_2ESOME A_27a) (tptp.arr A_27a (tptp.ty_2Eoption_2Eoption A_27a))))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (= _let_31 _let_13))) (let ((_let_59 (tptp.ap _let_29 _let_23))) (let ((_let_60 (tptp.p (tptp.ap _let_59 _let_22)))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.p (tptp.ap _let_30 _let_23)))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.p (tptp.ap _let_59 _let_23)))) (let ((_let_65 (and _let_64 _let_63 _let_61 _let_58))) (let ((_let_66 (or _let_43 _let_41 _let_18 _let_16 _let_65))) (let ((_let_67 (forall ((A_27a $$unsorted) (BOUND_VARIABLE_3590 $$unsorted) (BOUND_VARIABLE_3588 $$unsorted) (BOUND_VARIABLE_3586 $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ESOME A_27a))) (let ((_let_2 (tptp.ap _let_1 BOUND_VARIABLE_3588))) (let ((_let_3 (tptp.ap (tptp.c_2Eoption_2EOPTREL A_27a A_27a) BOUND_VARIABLE_3586))) (let ((_let_4 (tptp.ap _let_3 (tptp.ap _let_1 BOUND_VARIABLE_3590)))) (let ((_let_5 (tptp.c_2Eoption_2ENONE A_27a))) (let ((_let_6 (tptp.ap _let_3 _let_5))) (or (not (tptp.ne A_27a)) (not (tptp.mem BOUND_VARIABLE_3586 (tptp.arr A_27a (tptp.arr A_27a tptp.bool)))) (not (tptp.mem BOUND_VARIABLE_3590 A_27a)) (not (tptp.mem BOUND_VARIABLE_3588 A_27a)) (and (tptp.p (tptp.ap 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_43 _let_49 (not _let_55)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ne A_27a) false))))) :args (_let_56))) _let_57 :args (_let_55 false _let_56)) :args (_let_49 false _let_42 false _let_55)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 3)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_70)) :args ((or _let_15 _let_66))) _let_72 :args (_let_15 true _let_66)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_16 _let_35 _let_50 (not _let_51)))) _let_76 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_35 false _let_15 false _let_49 false _let_51)))) (let ((_let_78 (or _let_50 _let_18 _let_37))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 2)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_70)) :args ((or _let_17 _let_66))) _let_72 :args (_let_17 true _let_66)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_18 _let_37 _let_50 (not _let_78)))) _let_79 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_34 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_54)) _let_53 :args (_let_78 false _let_52)) :args (_let_37 false _let_17 false _let_49 false _let_78)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_70)) :args ((or _let_40 _let_66))) _let_72 :args (_let_40 true _let_66)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_44))) :args ((or _let_43 _let_41 _let_38 _let_36 _let_32 (not _let_44)))) _let_74 _let_81 _let_80 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_47))) _let_46 :args (_let_44 false _let_45)) :args (_let_32 false _let_42 false _let_40 false _let_37 false _let_35 false _let_44)))) (let ((_let_83 (tptp.p (tptp.ap (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_84 (not _let_83))) (let ((_let_85 (= _let_22 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (= _let_25 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 _let_88 _let_86 _let_84))) (let ((_let_94 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_95 (= _let_89 _let_94))) (let ((_let_96 (or _let_18 _let_92 _let_95))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_98 (= _let_85 _let_97))) (let ((_let_99 (or _let_16 _let_88 _let_98))) (let ((_let_100 (not _let_31))) (let ((_let_101 (not _let_32))) (let ((_let_102 (_let_32))) (let ((_let_103 (not _let_58))) (let ((_let_104 (tptp.mem _let_23 _let_34))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_43 _let_43 _let_41 _let_105 _let_105 _let_64))) (let ((_let_107 (or _let_43 _let_104))) (let ((_let_108 (forall ((A_27a $$unsorted)) (or (not (tptp.ne A_27a)) (tptp.mem (tptp.c_2Eoption_2ENONE A_27a) (tptp.ty_2Eoption_2Eoption A_27a)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_43 _let_104 (not _let_107)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ne A_27a) false))))) :args (_let_108))) _let_109 :args (_let_107 false _let_108)) :args (_let_104 false _let_42 false _let_107)))) (let ((_let_111 (forall ((V3x0 $$unsorted) (BOUND_VARIABLE_3299 $$unsorted)) (let ((_let_1 (tptp.c_2Eoption_2ESOME SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.mem V3x0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (= (tptp.c_2Eoption_2ENONE SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.ap _let_1 V3x0))) (not (tptp.mem BOUND_VARIABLE_3299 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (= (tptp.ap _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.ap _let_1 BOUND_VARIABLE_3299))) (not (tptp.p (tptp.ap (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 V3x0) BOUND_VARIABLE_3299)))))))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_24 _let_112))) (let ((_let_114 (= _let_60 _let_113))) (let ((_let_115 (or _let_43 _let_43 _let_41 _let_105 _let_36 _let_114))) (let ((_let_116 (not _let_113))) (let ((_let_117 (= _let_23 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_118 (not _let_117))) (let ((_let_119 (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_120 (not _let_119))) (let ((_let_121 (or _let_120 _let_118 (not (tptp.mem SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (= _let_22 (tptp.ap _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (not (tptp.p (tptp.ap (tptp.ap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))))) (let ((_let_122 (or _let_120 _let_118))) (let ((_let_123 (REFL :args (_let_121)))) (let ((_let_124 (tptp.c_2Eoption_2EOPTION__JOIN SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_125 (not (tptp.mem tptp.bool _let_34)))) (let ((_let_126 (or _let_125 (= tptp.bool (tptp.ap _let_124 (tptp.ap (tptp.c_2Eoption_2ESOME _let_34) tptp.bool)))))) (let ((_let_127 (= _let_23 (tptp.ap _let_124 (tptp.c_2Eoption_2ENONE _let_34))))) (let ((_let_128 (tptp.ap (tptp.c_2Eoption_2EOPTION__MAP SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool) tptp.bool))) (let ((_let_129 (not (tptp.mem tptp.bool _let_39)))) (let ((_let_130 (or _let_129 (= (tptp.c_2Eoption_2ENONE tptp.bool) (tptp.ap _let_128 _let_23))))) (let ((_let_131 (tptp.ap tptp.bool tptp.bool))) (let ((_let_132 (tptp.ap _let_21 tptp.bool))) (let 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((_let_144 (tptp.c_2Eoption_2ETHE SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_145 (tptp.ap _let_144 tptp.bool))) (let ((_let_146 (tptp.ap (tptp.ap (tptp.ap _let_135 tptp.bool) tptp.c_2Ebool_2EF) _let_12))) (let ((_let_147 (or _let_125 _let_142 (= _let_146 (tptp.ap _let_12 _let_145))))) (let ((_let_148 (tptp.p (tptp.ap (tptp.c_2Eoption_2EIS__NONE SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.bool)))) (let ((_let_149 (or _let_125 (not _let_148) (= tptp.c_2Ebool_2EF _let_146)))) (let ((_let_150 (or _let_125 (= tptp.bool (tptp.ap (tptp.ap _let_139 tptp.bool) _let_21))))) (let ((_let_151 (or _let_125 _let_140))) (let ((_let_152 (or _let_125 _let_142 (= tptp.bool (tptp.ap _let_21 _let_145))))) (let ((_let_153 (= tptp.bool _let_23))) (let ((_let_154 (or _let_125 (= _let_142 _let_153)))) (let ((_let_155 (or _let_125 (= _let_148 _let_153)))) (let ((_let_156 (not (tptp.p (tptp.ap _let_141 _let_23))))) (let ((_let_157 (or _let_133 (tptp.p (tptp.ap _let_141 _let_132))))) (let ((_let_158 (or _let_133 (not (= _let_23 _let_132))))) (let ((_let_159 (or _let_133 (= tptp.bool (tptp.ap _let_144 _let_132))))) (let ((_let_160 (and _let_159 _let_122 _let_158 _let_157 _let_156 _let_155 _let_154 _let_152 _let_151 _let_150 _let_149 _let_147 _let_143 _let_138 _let_137 _let_134 _let_130 _let_127 _let_126))) (let ((_let_161 (tptp.mem _let_12 _let_39))) (let ((_let_162 (not _let_161))) (let ((_let_163 (not _let_8))) (let ((_let_164 (not _let_10))) (let ((_let_165 (or _let_43 _let_164 _let_163 _let_162 _let_105 _let_160))) (let ((_let_166 (forall ((A_27a $$unsorted) (BOUND_VARIABLE_3106 $$unsorted) (BOUND_VARIABLE_3104 $$unsorted) (BOUND_VARIABLE_3102 $$unsorted) (BOUND_VARIABLE_3100 $$unsorted) (BOUND_VARIABLE_3098 $$unsorted) (BOUND_VARIABLE_3096 $$unsorted) (BOUND_VARIABLE_3094 $$unsorted) (BOUND_VARIABLE_3092 $$unsorted) (BOUND_VARIABLE_3090 $$unsorted) (BOUND_VARIABLE_3088 $$unsorted) (BOUND_VARIABLE_3086 $$unsorted) (BOUND_VARIABLE_3084 $$unsorted) (BOUND_VARIABLE_3082 $$unsorted) (BOUND_VARIABLE_3080 $$unsorted) (BOUND_VARIABLE_3054 $$unsorted) (BOUND_VARIABLE_3056 $$unsorted) (BOUND_VARIABLE_3058 $$unsorted) (BOUND_VARIABLE_3060 $$unsorted) (BOUND_VARIABLE_3062 $$unsorted) (BOUND_VARIABLE_3064 $$unsorted) (BOUND_VARIABLE_3066 $$unsorted) (BOUND_VARIABLE_3068 $$unsorted) (BOUND_VARIABLE_3070 $$unsorted) (BOUND_VARIABLE_3072 $$unsorted) (BOUND_VARIABLE_3074 $$unsorted) (BOUND_VARIABLE_3076 $$unsorted) (BOUND_VARIABLE_3078 $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (let ((_let_2 (tptp.c_2Eoption_2EOPTION__JOIN A_27a))) (let ((_let_3 (tptp.c_2Eoption_2ENONE A_27a))) (let ((_let_4 (tptp.c_2Eoption_2EOPTION__MAP A_27a BOUND_VARIABLE_3054))) (let ((_let_5 (tptp.arr A_27a BOUND_VARIABLE_3054))) (let ((_let_6 (tptp.c_2Eoption_2ESOME A_27a))) (let ((_let_7 (tptp.c_2Eoption_2Eoption__CASE A_27a BOUND_VARIABLE_3054))) (let ((_let_8 (tptp.c_2Eoption_2Eoption__CASE A_27a _let_1))) (let ((_let_9 (tptp.c_2Eoption_2EIS__SOME A_27a))) (let ((_let_10 (tptp.c_2Eoption_2ETHE A_27a))) (let ((_let_11 (tptp.c_2Eoption_2EIS__NONE A_27a))) (or (not (tptp.ne A_27a)) (not (tptp.ne BOUND_VARIABLE_3054)) (not (tptp.mem BOUND_VARIABLE_3082 BOUND_VARIABLE_3054)) (not (tptp.mem BOUND_VARIABLE_3080 _let_5)) (not (tptp.mem BOUND_VARIABLE_3056 _let_1)) (and (or (not (tptp.mem BOUND_VARIABLE_3092 A_27a)) (not (tptp.mem BOUND_VARIABLE_3090 A_27a)) (= (= (tptp.ap _let_6 BOUND_VARIABLE_3092) (tptp.ap _let_6 BOUND_VARIABLE_3090)) (= BOUND_VARIABLE_3090 BOUND_VARIABLE_3092))) (or (not (tptp.mem BOUND_VARIABLE_3086 A_27a)) (= BOUND_VARIABLE_3086 (tptp.ap _let_10 (tptp.ap _let_6 BOUND_VARIABLE_3086)))) (or (not (tptp.mem BOUND_VARIABLE_3084 A_27a)) (not (= _let_3 (tptp.ap _let_6 BOUND_VARIABLE_3084)))) (or (not (tptp.mem BOUND_VARIABLE_3060 A_27a)) (not (= _let_3 (tptp.ap _let_6 BOUND_VARIABLE_3060)))) (or (not (tptp.mem BOUND_VARIABLE_3062 A_27a)) (tptp.p (tptp.ap _let_9 (tptp.ap _let_6 BOUND_VARIABLE_3062)))) (not (tptp.p (tptp.ap _let_9 _let_3))) (or (not (tptp.mem BOUND_VARIABLE_3064 _let_1)) (= (tptp.p (tptp.ap _let_11 BOUND_VARIABLE_3064)) (= _let_3 BOUND_VARIABLE_3064))) (or (not (tptp.mem BOUND_VARIABLE_3068 _let_1)) (= (not (tptp.p (tptp.ap _let_9 BOUND_VARIABLE_3068))) (= _let_3 BOUND_VARIABLE_3068))) (or (not (tptp.mem BOUND_VARIABLE_3070 _let_1)) (not (tptp.p (tptp.ap _let_9 BOUND_VARIABLE_3070))) (= BOUND_VARIABLE_3070 (tptp.ap _let_6 (tptp.ap _let_10 BOUND_VARIABLE_3070)))) (or (not (tptp.mem BOUND_VARIABLE_3078 _let_1)) (= BOUND_VARIABLE_3078 (tptp.ap (tptp.ap (tptp.ap _let_8 BOUND_VARIABLE_3078) _let_3) _let_6))) (or (not (tptp.mem BOUND_VARIABLE_3066 _let_1)) (= BOUND_VARIABLE_3066 (tptp.ap (tptp.ap (tptp.ap _let_8 BOUND_VARIABLE_3066) BOUND_VARIABLE_3066) _let_6))) (or (not (tptp.mem BOUND_VARIABLE_3072 _let_1)) (not (tptp.p (tptp.ap _let_11 BOUND_VARIABLE_3072))) (= BOUND_VARIABLE_3082 (tptp.ap (tptp.ap (tptp.ap _let_7 BOUND_VARIABLE_3072) BOUND_VARIABLE_3082) BOUND_VARIABLE_3080))) (or (not (tptp.mem BOUND_VARIABLE_3088 _let_1)) (not (tptp.p (tptp.ap _let_9 BOUND_VARIABLE_3088))) (= (tptp.ap (tptp.ap (tptp.ap _let_7 BOUND_VARIABLE_3088) BOUND_VARIABLE_3082) BOUND_VARIABLE_3080) (tptp.ap BOUND_VARIABLE_3080 (tptp.ap _let_10 BOUND_VARIABLE_3088)))) (or (not (tptp.mem BOUND_VARIABLE_3094 _let_1)) (not (tptp.p (tptp.ap _let_9 BOUND_VARIABLE_3094))) (= BOUND_VARIABLE_3094 (tptp.ap (tptp.ap (tptp.ap _let_8 BOUND_VARIABLE_3094) BOUND_VARIABLE_3056) _let_6))) (or (not (tptp.mem BOUND_VARIABLE_3098 BOUND_VARIABLE_3054)) (not (tptp.mem BOUND_VARIABLE_3076 _let_5)) (= BOUND_VARIABLE_3098 (tptp.ap (tptp.ap (tptp.ap _let_7 _let_3) BOUND_VARIABLE_3098) BOUND_VARIABLE_3076))) (or (not (tptp.mem BOUND_VARIABLE_3100 A_27a)) (not (tptp.mem BOUND_VARIABLE_3102 BOUND_VARIABLE_3054)) (not (tptp.mem BOUND_VARIABLE_3058 _let_5)) (= (tptp.ap (tptp.ap (tptp.ap _let_7 (tptp.ap _let_6 BOUND_VARIABLE_3100)) BOUND_VARIABLE_3102) BOUND_VARIABLE_3058) (tptp.ap BOUND_VARIABLE_3058 BOUND_VARIABLE_3100))) (or (not 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.mem F (tptp.arr A B)) false)) (not (= (tptp.mem BOUND_VARIABLE_1467 A) false))))) :args _let_54)) _let_53 :args (_let_169 false _let_52)) :args (_let_161 false _let_40 false _let_17 false _let_169)))) (let ((_let_171 (ASSUME :args (_let_8)))) (let ((_let_172 (ASSUME :args (_let_10)))) (let ((_let_173 (_let_112))) (let ((_let_174 (not _let_24))) (let ((_let_175 (or _let_16 _let_174))) (let ((_let_176 (or _let_125 _let_142 (= tptp.bool (tptp.ap (tptp.ap _let_139 _let_22) _let_21))))) (let ((_let_177 (and _let_159 _let_175 _let_158 _let_157 _let_156 _let_155 _let_154 _let_152 _let_151 _let_150 _let_149 _let_147 _let_176 _let_138 _let_137 _let_134 _let_130 _let_127 _let_126))) (let ((_let_178 (or _let_43 _let_164 _let_163 _let_162 _let_36 _let_177))) (let 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_let_11))))) (let ((_let_207 (_let_20))) (let ((_let_208 (REFL :args (_let_93)))) (let ((_let_209 (and _let_96 _let_159 _let_158 _let_158 _let_157 _let_156 _let_155 _let_154 _let_152 _let_151 _let_150 _let_149 _let_147 _let_143 _let_138 _let_137 _let_134 _let_130 _let_127 _let_126))) (let ((_let_210 (or _let_43 _let_164 _let_163 _let_162 _let_105 _let_209))) (let ((_let_211 (and _let_99 _let_159 _let_158 _let_158 _let_157 _let_156 _let_155 _let_154 _let_152 _let_151 _let_150 _let_149 _let_147 _let_143 _let_138 _let_137 _let_134 _let_130 _let_127 _let_126))) (let ((_let_212 (or _let_43 _let_164 _let_163 _let_162 _let_105 _let_211))) (let ((_let_213 (ASSUME :args (_let_83)))) (let ((_let_214 (APPLY_UF tptp.ap))) (let ((_let_215 (ASSUME :args (_let_97)))) (let ((_let_216 (ASSUME :args (_let_94)))) (let ((_let_217 (ASSUME :args (_let_14)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_213 _let_216 _let_215 _let_217) :args (_let_14 _let_83 _let_94 _let_97)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_217)) (CONG (CONG (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (SYMM (SYMM _let_216)) :args _let_214) (SYMM (SYMM _let_215)) :args _let_214) :args (APPLY_UF tptp.p)) (TRUE_INTRO _let_213))) :args (_let_83 _let_94 _let_97 _let_14)) :args ((not (and _let_14 _let_83 _let_94 _let_97)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args (_let_84)) (REFL :args ((not _let_94))) (REFL :args ((not _let_97))) :args _let_70)) (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or _let_86 _let_97 (not _let_98)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or _let_90 _let_94 (not _let_95)))) (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_16 _let_88 _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_211 0)) :args ((or _let_99 (not _let_211)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_212)) :args ((or _let_164 _let_163 _let_43 _let_105 _let_162 _let_211 (not _let_212)))) _let_172 _let_171 _let_74 _let_110 _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_167 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 tptp.bool tptp.bool tptp.bool tptp.c_2Ebool_2EF _let_12 tptp.bool _let_23 tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool QUANTIFIERS_INST_CBQI_PROP)) :args _let_168))) _let_167 :args (_let_212 false _let_166)) :args (_let_211 false _let_10 false _let_8 false _let_42 false _let_104 false _let_161 false _let_212)) :args (_let_99 false _let_211)) _let_76 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_18 _let_92 _let_95 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_209 0)) :args ((or _let_96 (not _let_209)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_210)) :args ((or _let_164 _let_163 _let_43 _let_105 _let_162 _let_209 (not _let_210)))) _let_172 _let_171 _let_74 _let_110 _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_167 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.bool tptp.bool tptp.bool tptp.c_2Ebool_2EF _let_12 tptp.bool _let_23 tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool tptp.bool QUANTIFIERS_INST_CBQI_PROP)) :args _let_168))) _let_167 :args (_let_210 false _let_166)) :args (_let_209 false _let_10 false _let_8 false _let_42 false _let_104 false _let_161 false _let_210)) :args (_let_96 false _let_209)) _let_79 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 4)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_83))) :args _let_70)) :args ((or _let_83 _let_93))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 3)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) :args _let_70)) :args ((or _let_85 _let_93))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 2)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_87))) :args _let_70)) :args ((or _let_87 _let_93))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 1)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_70)) :args ((or _let_89 _let_93))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 0)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_70)) :args ((or _let_91 _let_93))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_207)) :args _let_207)) (CONG _let_206 (REFL :args ((not _let_93))) :args _let_70)) (REORDERING (CNF_OR_POS :args _let_205) :args ((or _let_27 _let_20 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_26 _let_204))) _let_199 :args (_let_204 true _let_26)) (CNF_EQUIV_NEG2 :args _let_203) _let_202 (REORDERING (CNF_EQUIV_POS1 :args _let_102) :args ((or _let_100 _let_28 _let_101))) _let_82 :args (_let_100 false _let_97 false _let_94 false _let_98 false _let_99 false _let_15 false _let_95 false _let_96 false _let_17 false _let_83 false _let_85 false _let_87 false _let_89 false _let_91 true _let_93 true _let_11 true _let_27 true _let_13 true _let_58 false _let_28 false _let_32)))) (let ((_let_219 (not _let_19))) (let ((_let_220 (_let_11))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_220) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_220))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_16 _let_14 _let_219))) _let_79 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_203) :args ((or _let_31 _let_13 _let_58))) _let_218 _let_202 :args (_let_13 true _let_31 true _let_58)) :args (_let_219 false _let_17 false _let_15 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG (REFL :args _let_205) _let_206 :args _let_70)) :args ((or _let_11 _let_28))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_102) :args ((or _let_31 _let_33 _let_101))) _let_218 _let_82 :args (_let_33 true _let_31 false _let_32)) :args (_let_11 true _let_28)) :args (false true _let_19 false _let_11)) :args (_let_10 (tptp.ne tptp.ind) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((B $$unsorted)) (=> (tptp.ne B) (tptp.ne (tptp.arr A B)))))) _let_9 (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (=> (= (tptp.p Q) (tptp.p R)) (= Q R)))))) (forall ((A $$unsorted) (B $$unsorted) (F $$unsorted)) (=> (tptp.mem F (tptp.arr A B)) (forall ((G $$unsorted)) (=> (tptp.mem G (tptp.arr A B)) (=> (forall ((X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap F X) (tptp.ap G X)))) (= F G)))))) (forall ((A $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.k A Y) X) Y))) (forall ((A $$unsorted) (X $$unsorted)) (=> (tptp.mem X A) (= (tptp.ap (tptp.i A) X) X))) (forall ((A0 $$unsorted)) (=> (tptp.ne A0) (tptp.ne (tptp.ty_2Eoption_2Eoption A0)))) (forall ((A_27a $$unsorted)) (let ((_let_1 (tptp.ty_2Eoption_2Eoption A_27a))) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2EOPTION__JOIN A_27a) (tptp.arr (tptp.ty_2Eoption_2Eoption _let_1) _let_1))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((A_27b $$unsorted)) (=> (tptp.ne A_27b) (tptp.mem (tptp.c_2Eoption_2EOPTION__MAP A_27a A_27b) (tptp.arr (tptp.arr A_27a A_27b) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) (tptp.ty_2Eoption_2Eoption A_27b)))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((A_27b $$unsorted)) (=> (tptp.ne A_27b) (tptp.mem (tptp.c_2Eoption_2Eoption__CASE A_27a A_27b) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) (tptp.arr A_27b (tptp.arr (tptp.arr A_27a A_27b) A_27b)))))))) (tptp.mem tptp.c_2Emin_2E_3D_3D_3E _let_5) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Emin_2E_3D_3D_3E Q) R)) (=> (tptp.p Q) (tptp.p R))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2EIS__NONE A_27a) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) tptp.bool)))) _let_8 (not (tptp.p tptp.c_2Ebool_2EF)) (tptp.mem tptp.c_2Ebool_2ET tptp.bool) (tptp.p tptp.c_2Ebool_2ET) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2EIS__SOME A_27a) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) tptp.bool)))) (tptp.mem tptp.c_2Ebool_2E_7E _let_4) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (= (tptp.p (tptp.ap tptp.c_2Ebool_2E_7E Q)) (not (tptp.p Q))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Eoption_2ETHE A_27a) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) A_27a)))) _let_7 (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Ebool_2E_3F A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool)))) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_3F A) Q)) (exists ((X $$unsorted)) (and (tptp.mem X A) (tptp.p (tptp.ap Q X))))))))) _let_6 (tptp.mem tptp.c_2Ebool_2E_2F_5C _let_5) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_2F_5C Q) R)) (and (tptp.p Q) (tptp.p R))))))) (tptp.mem tptp.c_2Ebool_2E_5C_2F _let_5) (forall ((Q $$unsorted)) (=> (tptp.mem Q tptp.bool) (forall ((R $$unsorted)) (=> (tptp.mem R tptp.bool) (= (tptp.p (tptp.ap (tptp.ap tptp.c_2Ebool_2E_5C_2F Q) R)) (or (tptp.p Q) (tptp.p R))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((A_27b $$unsorted)) (=> (tptp.ne A_27b) (tptp.mem (tptp.c_2Eoption_2EOPTREL A_27a A_27b) (tptp.arr (tptp.arr A_27a (tptp.arr A_27b tptp.bool)) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27a) (tptp.arr (tptp.ty_2Eoption_2Eoption A_27b) tptp.bool)))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Emin_2E_3D A_27a) (tptp.arr A_27a (tptp.arr A_27a tptp.bool))))) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((X $$unsorted)) (=> (tptp.mem X A) (forall ((Y $$unsorted)) (=> (tptp.mem Y A) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D A) X) Y)) (= X Y)))))))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (tptp.mem (tptp.c_2Ebool_2E_21 A_27a) (tptp.arr (tptp.arr A_27a tptp.bool) tptp.bool)))) (forall ((A $$unsorted)) (=> (tptp.ne A) (forall ((Q $$unsorted)) (=> (tptp.mem Q (tptp.arr A tptp.bool)) (= (tptp.p (tptp.ap (tptp.c_2Ebool_2E_21 A) Q)) (forall ((X $$unsorted)) (=> (tptp.mem X A) (tptp.p (tptp.ap Q X))))))))) true (forall ((V0t1 $$unsorted)) (=> (tptp.mem V0t1 tptp.bool) (forall ((V1t2 $$unsorted)) (let ((_let_1 (tptp.p V1t2))) (let ((_let_2 (tptp.p V0t1))) (=> (tptp.mem V1t2 tptp.bool) (=> (=> _let_2 _let_1) (=> (=> _let_1 _let_2) (= _let_2 _let_1))))))))) (forall ((V0t $$unsorted)) (=> (tptp.mem V0t tptp.bool) (=> false (tptp.p V0t)))) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((V0t $$unsorted)) (=> (tptp.mem V0t tptp.bool) (= (exists ((V1x $$unsorted)) (and (tptp.mem V1x A_27a) (tptp.p V0t))) (tptp.p V0t)))))) (forall ((V0t $$unsorted)) (let ((_let_1 (tptp.p V0t))) (=> (tptp.mem V0t tptp.bool) (and (= (and true _let_1) _let_1) (= (and _let_1 true) _let_1) (= (and false _let_1) false) (= (and _let_1 false) false) (= (and _let_1 _let_1) _let_1))))) (forall ((V0t $$unsorted)) (let ((_let_1 (tptp.p V0t))) (=> (tptp.mem V0t tptp.bool) (and (= (or true _let_1) true) (= (or _let_1 true) true) (= (or false _let_1) _let_1) (= (or _let_1 false) _let_1) (= (or _let_1 _let_1) _let_1))))) (and (forall ((V0t $$unsorted)) (let ((_let_1 (tptp.p V0t))) (=> (tptp.mem V0t tptp.bool) (= (not (not _let_1)) _let_1)))) (= (not true) false) (= (not false) true)) (forall ((A_27a $$unsorted)) (=> (tptp.ne A_27a) (forall ((V0x $$unsorted)) (=> (tptp.mem V0x A_27a) (= (= V0x V0x) true))))) (forall ((V0t $$unsorted)) (let ((_let_1 (tptp.p V0t))) (let ((_let_2 (not _let_1))) (=> (tptp.mem V0t tptp.bool) (and (= (= true _let_1) _let_1) (= (= _let_1 true) _let_1) (= (= false _let_1) _let_2) (= (= _let_1 false) _let_2)))))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 33.46/33.64  )
% 33.46/33.64  % SZS output end Proof for ITP011+2
% 33.50/33.64  % cvc5---1.0.5 exiting
% 33.50/33.64  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------