%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL668+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 07:03:00 EDT 2023

% Result   : Theorem 13.10s 13.30s
% Output   : Proof 13.10s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.26  % Problem    : LCL668+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.27  % Command    : do_cvc5 %s %d
% 0.26/0.48  % Computer : n026.cluster.edu
% 0.26/0.48  % Model    : x86_64 x86_64
% 0.26/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.48  % Memory   : 8042.1875MB
% 0.26/0.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.26/0.48  % CPULimit   : 300
% 0.26/0.48  % WCLimit    : 300
% 0.26/0.48  % DateTime   : Fri Aug 25 01:53:47 EDT 2023
% 0.26/0.48  % CPUTime    : 
% 0.33/0.75  %----Proving TF0_NAR, FOF, or CNF
% 13.10/13.30  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.QbKENUPZkF/cvc5---1.0.5_23702.p...
% 13.10/13.30  ------- get file name : TPTP file name is LCL668+1.010
% 13.10/13.30  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23702.smt2...
% 13.10/13.30  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 13.10/13.30  --- Run --no-e-matching --full-saturate-quant at 5...
% 13.10/13.30  % SZS status Theorem for LCL668+1.010
% 13.10/13.30  % SZS output start Proof for LCL668+1.010
% 13.10/13.30  (
% 13.10/13.30  (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (and (not (tptp.p104 X)) (not (tptp.p102 X)) (not (tptp.p100 X)) (not (tptp.p98 X)) (not (tptp.p96 X)) (not (tptp.p94 X)) (not (tptp.p92 X)) (not (tptp.p90 X)) (not (tptp.p88 X)) (not (tptp.p86 X)) (not (tptp.p84 X)) (not (tptp.p82 X)) (not (tptp.p80 X)) (not (tptp.p78 X)) (not (tptp.p76 X)) (not (tptp.p74 X)) (not (tptp.p72 X)) (not (tptp.p70 X)) (not (tptp.p68 X)) (not (tptp.p66 X)) (not (tptp.p64 X)) (not (tptp.p62 X)) (not (tptp.p60 X)) (not (tptp.p58 X)) (not (tptp.p56 X)) (not (tptp.p54 X)) (not (tptp.p52 X)) (not (tptp.p50 X)) (not (tptp.p48 X)) (not (tptp.p46 X)) (not (tptp.p44 X)) (not (tptp.p42 X)) (not (tptp.p40 X)) (not (tptp.p38 X)) (not (tptp.p36 X)) (not (tptp.p34 X)) (not (tptp.p32 X)) (not (tptp.p30 X)) (not (tptp.p28 X)) (not (tptp.p26 X)) (not (tptp.p24 X)) (not (tptp.p22 X)) (not (tptp.p20 X)) (not (tptp.p18 X)) (not (tptp.p16 X)) (not (tptp.p14 X)) (not (tptp.p12 X)) (not (tptp.p10 X)) (not (tptp.p8 X)) (not (tptp.p6 X)) (not (tptp.p4 X)) (not (tptp.p2 X))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p53 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p51 X))) (let ((_let_2 (tptp.p1 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p52 X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p50 X))) (let ((_let_2 (tptp.p51 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p51 Y))) (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (not (or (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (let ((_let_1 (tptp.p49 X))) (let ((_let_2 (tptp.p50 X))) (or (not (tptp.r1 Y X)) (not (or (and (not _let_1) (not _let_2)) (and _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p50 X))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (forall ((Y 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_104 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_88 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_76 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_84 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_106 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_91 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_96 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)) (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (and (tptp.p52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))))) (let ((_let_414 (forall ((X $$unsorted) (BOUND_VARIABLE_280722 $$unsorted) (BOUND_VARIABLE_280720 $$unsorted) (BOUND_VARIABLE_280718 $$unsorted) (BOUND_VARIABLE_280716 $$unsorted) (BOUND_VARIABLE_280714 $$unsorted) (BOUND_VARIABLE_280712 $$unsorted) (BOUND_VARIABLE_280710 $$unsorted) (BOUND_VARIABLE_280708 $$unsorted) (BOUND_VARIABLE_280706 $$unsorted) (BOUND_VARIABLE_280704 $$unsorted) (BOUND_VARIABLE_280702 $$unsorted) (BOUND_VARIABLE_280700 $$unsorted) (BOUND_VARIABLE_280698 $$unsorted) (BOUND_VARIABLE_280696 $$unsorted) (BOUND_VARIABLE_280694 $$unsorted) (BOUND_VARIABLE_280692 $$unsorted) (BOUND_VARIABLE_280690 $$unsorted) (BOUND_VARIABLE_280688 $$unsorted) (BOUND_VARIABLE_280686 $$unsorted) (BOUND_VARIABLE_280684 $$unsorted) (BOUND_VARIABLE_280682 $$unsorted) (BOUND_VARIABLE_280680 $$unsorted) (BOUND_VARIABLE_280678 $$unsorted) (BOUND_VARIABLE_280676 $$unsorted) (BOUND_VARIABLE_280674 $$unsorted) (BOUND_VARIABLE_280672 $$unsorted) (BOUND_VARIABLE_280670 $$unsorted) (BOUND_VARIABLE_280668 $$unsorted) (BOUND_VARIABLE_280666 $$unsorted) (BOUND_VARIABLE_280664 $$unsorted) (BOUND_VARIABLE_280662 $$unsorted) (BOUND_VARIABLE_280660 $$unsorted) (BOUND_VARIABLE_280658 $$unsorted) (BOUND_VARIABLE_280356 $$unsorted) (BOUND_VARIABLE_280354 $$unsorted) (BOUND_VARIABLE_280352 $$unsorted) (BOUND_VARIABLE_280350 $$unsorted) (BOUND_VARIABLE_280348 $$unsorted) (BOUND_VARIABLE_280346 $$unsorted) (BOUND_VARIABLE_280344 $$unsorted) (BOUND_VARIABLE_280342 $$unsorted) (BOUND_VARIABLE_280340 $$unsorted) (BOUND_VARIABLE_280338 $$unsorted) (BOUND_VARIABLE_280336 $$unsorted) (BOUND_VARIABLE_280334 $$unsorted) (BOUND_VARIABLE_280332 $$unsorted) (BOUND_VARIABLE_280330 $$unsorted) (BOUND_VARIABLE_280328 $$unsorted) (BOUND_VARIABLE_280326 $$unsorted) (BOUND_VARIABLE_280300 $$unsorted) (BOUND_VARIABLE_280302 $$unsorted) (BOUND_VARIABLE_280304 $$unsorted) (BOUND_VARIABLE_280306 $$unsorted) (BOUND_VARIABLE_280308 $$unsorted) (BOUND_VARIABLE_280310 $$unsorted) (BOUND_VARIABLE_280312 $$unsorted) (BOUND_VARIABLE_280314 $$unsorted) (BOUND_VARIABLE_280316 $$unsorted) (BOUND_VARIABLE_280318 $$unsorted) (BOUND_VARIABLE_280320 $$unsorted) (BOUND_VARIABLE_280322 $$unsorted) (BOUND_VARIABLE_280324 $$unsorted) (BOUND_VARIABLE_280358 $$unsorted) (BOUND_VARIABLE_280362 $$unsorted) (BOUND_VARIABLE_280364 $$unsorted) (BOUND_VARIABLE_280632 $$unsorted) (BOUND_VARIABLE_280378 $$unsorted) (BOUND_VARIABLE_280360 $$unsorted) (BOUND_VARIABLE_280614 $$unsorted) (BOUND_VARIABLE_280634 $$unsorted) (BOUND_VARIABLE_280380 $$unsorted) (BOUND_VARIABLE_280636 $$unsorted) (BOUND_VARIABLE_280382 $$unsorted) (BOUND_VARIABLE_280638 $$unsorted) (BOUND_VARIABLE_280384 $$unsorted) (BOUND_VARIABLE_280366 $$unsorted) (BOUND_VARIABLE_280620 $$unsorted) (BOUND_VARIABLE_280640 $$unsorted) (BOUND_VARIABLE_280386 $$unsorted) (BOUND_VARIABLE_280368 $$unsorted) (BOUND_VARIABLE_280622 $$unsorted) (BOUND_VARIABLE_280642 $$unsorted) (BOUND_VARIABLE_280388 $$unsorted) (BOUND_VARIABLE_280370 $$unsorted) (BOUND_VARIABLE_280624 $$unsorted) (BOUND_VARIABLE_280644 $$unsorted) (BOUND_VARIABLE_280390 $$unsorted) (BOUND_VARIABLE_280372 $$unsorted) (BOUND_VARIABLE_280626 $$unsorted) (BOUND_VARIABLE_280646 $$unsorted) (BOUND_VARIABLE_280392 $$unsorted) (BOUND_VARIABLE_280374 $$unsorted) (BOUND_VARIABLE_280628 $$unsorted) (BOUND_VARIABLE_280648 $$unsorted) (BOUND_VARIABLE_280394 $$unsorted) (BOUND_VARIABLE_280376 $$unsorted) (BOUND_VARIABLE_280630 $$unsorted) (BOUND_VARIABLE_280650 $$unsorted) (BOUND_VARIABLE_280396 $$unsorted) (BOUND_VARIABLE_280652 $$unsorted) (BOUND_VARIABLE_280398 $$unsorted) (BOUND_VARIABLE_280654 $$unsorted) (BOUND_VARIABLE_280400 $$unsorted) (BOUND_VARIABLE_280656 $$unsorted) (BOUND_VARIABLE_280402 $$unsorted)) (or (not (forall ((Y $$unsorted) (BOUND_VARIABLE_268282 $$unsorted) (BOUND_VARIABLE_268280 $$unsorted) (BOUND_VARIABLE_268278 $$unsorted) (BOUND_VARIABLE_268276 $$unsorted) (BOUND_VARIABLE_268274 $$unsorted) (BOUND_VARIABLE_268272 $$unsorted) (BOUND_VARIABLE_268270 $$unsorted) (BOUND_VARIABLE_268268 $$unsorted) (BOUND_VARIABLE_268266 $$unsorted) (BOUND_VARIABLE_268264 $$unsorted) (BOUND_VARIABLE_268262 $$unsorted) (BOUND_VARIABLE_268260 $$unsorted) (BOUND_VARIABLE_268258 $$unsorted) (BOUND_VARIABLE_268256 $$unsorted) (BOUND_VARIABLE_268254 $$unsorted) (BOUND_VARIABLE_268252 $$unsorted) (BOUND_VARIABLE_268250 $$unsorted) (BOUND_VARIABLE_268248 $$unsorted) (BOUND_VARIABLE_268246 $$unsorted) (BOUND_VARIABLE_268244 $$unsorted) (BOUND_VARIABLE_268242 $$unsorted) (BOUND_VARIABLE_268240 $$unsorted) (BOUND_VARIABLE_268238 $$unsorted) (BOUND_VARIABLE_268236 $$unsorted) (BOUND_VARIABLE_268234 $$unsorted) (BOUND_VARIABLE_268232 $$unsorted) (BOUND_VARIABLE_268230 $$unsorted) (BOUND_VARIABLE_268228 $$unsorted) (BOUND_VARIABLE_268226 $$unsorted) (BOUND_VARIABLE_268224 $$unsorted) 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_419)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_413 0)) (CONG (REFL :args (_let_413)) (MACRO_SR_PRED_INTRO :args ((= (not _let_412) _let_411))) :args _let_417)) :args ((or _let_411 _let_413))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_416) :args (_let_418))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_418) _let_414))) (REFL :args (_let_415)) :args _let_417)) _let_416 :args (_let_415 true _let_414)) :args 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true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 13.10/13.31  )
% 13.10/13.31  % SZS output end Proof for LCL668+1.010
% 13.10/13.31  % cvc5---1.0.5 exiting
% 13.10/13.31  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------