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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM730^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 : Wed Jun  3 08:40:30 AM UTC 2026

% Result   : Theorem 0.38s 0.57s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM730^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n019.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 12:06:19 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TH0
% 0.38/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start Proof
% 0.38/0.57  (
% 0.38/0.57  (declare-sort tptp.frac 0)
% 0.38/0.57  (declare-sort tptp.nat 0)
% 0.38/0.57  (declare-const tptp.c1x (-> tptp.frac tptp.nat))
% 0.38/0.57  (declare-const tptp.c2y (-> tptp.frac tptp.nat))
% 0.38/0.57  (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat))
% 0.38/0.57  (declare-const tptp.c1y (-> tptp.frac tptp.nat))
% 0.38/0.57  (declare-const tptp.c2x (-> tptp.frac tptp.nat))
% 0.38/0.57  (declare-const tptp.orec3 (-> Bool Bool Bool Bool))
% 0.38/0.57  (declare-const tptp.x tptp.frac)
% 0.38/0.57  (declare-const tptp.more (-> tptp.nat tptp.nat Bool))
% 0.38/0.57  (declare-const tptp.y tptp.frac)
% 0.38/0.57  (declare-const tptp.less (-> tptp.nat tptp.nat Bool))
% 0.38/0.57  (define @t1 () (@var "Xy" tptp.nat))
% 0.38/0.57  (define @t2 () (@var "Xx" tptp.nat))
% 0.38/0.57  (define @t3 () (_ (_ tptp.less @t2) @t1))
% 0.38/0.57  (define @t4 () (_ (_ tptp.more @t2) @t1))
% 0.38/0.57  (define @t5 () (= @t2 @t1))
% 0.38/0.57  (define @t6 () (_ tptp.orec3 @t5))
% 0.38/0.57  (define @t7 () (_ (_ @t6 @t4) @t3))
% 0.38/0.57  (define @t8 () (@list @t2 @t1))
% 0.38/0.57  (define @t9 () (forall @t8 @t7))
% 0.38/0.57  (define @t10 () (_ tptp.c2x tptp.x))
% 0.38/0.57  (define @t11 () (_ tptp.c1y tptp.y))
% 0.38/0.57  (define @t12 () (_ (_ tptp.ts @t11) @t10))
% 0.38/0.57  (define @t13 () (_ tptp.c2y tptp.y))
% 0.38/0.57  (define @t14 () (_ tptp.c1x tptp.x))
% 0.38/0.57  (define @t15 () (_ (_ tptp.ts @t14) @t13))
% 0.38/0.57  (define @t16 () (_ (_ tptp.less @t15) @t12))
% 0.38/0.57  (define @t17 () (_ (_ tptp.more @t15) @t12))
% 0.38/0.57  (define @t18 () (not (_ (_ (_ tptp.orec3 (= @t15 @t12)) @t17) @t16)))
% 0.38/0.57  (define @t19 () (@purify @t16))
% 0.38/0.57  (define @t20 () (@purify @t17))
% 0.38/0.57  (define @t21 () (= @t12 @t15))
% 0.38/0.57  (define @t22 () (@purify @t21))
% 0.38/0.57  (define @t23 () (tptp.orec3 @t22 @t20 @t19))
% 0.38/0.57  (define @t24 () (_ (_ (_ tptp.orec3 @t22) @t20) @t19))
% 0.38/0.57  (define @t25 () (= @t16 @t19))
% 0.38/0.57  (define @t26 () (= @t17 @t20))
% 0.38/0.57  (define @t27 () (= @t21 @t22))
% 0.38/0.57  (define @t28 () (tptp.less @t2 @t1))
% 0.38/0.57  (define @t29 () (tptp.more @t2 @t1))
% 0.38/0.57  (define @t30 () (tptp.orec3 @t5 @t29 @t28))
% 0.38/0.57  (define @t31 () (tptp.c2x tptp.x))
% 0.38/0.57  (define @t32 () (tptp.c1y tptp.y))
% 0.38/0.57  (define @t33 () (tptp.ts @t32 @t31))
% 0.38/0.57  (define @t34 () (tptp.c2y tptp.y))
% 0.38/0.57  (define @t35 () (tptp.c1x tptp.x))
% 0.38/0.57  (define @t36 () (tptp.ts @t35 @t34))
% 0.38/0.57  (define @t37 () (tptp.less @t36 @t33))
% 0.38/0.57  (define @t38 () (@purify @t37))
% 0.38/0.57  (define @t39 () (tptp.more @t36 @t33))
% 0.38/0.57  (define @t40 () (@purify @t39))
% 0.38/0.57  (define @t41 () (= @t33 @t36))
% 0.38/0.57  (define @t42 () (@purify @t41))
% 0.38/0.57  (define @t43 () (tptp.orec3 @t41 @t39 @t37))
% 0.38/0.57  (define @t44 () (forall @t8 @t30))
% 0.38/0.57  (define @t45 () (tptp.orec3 (= @t36 @t33) @t39 @t37))
% 0.38/0.57  (define @t46 () (tptp.orec3 @t42 @t40 @t38))
% 0.38/0.57  (define @t47 () (not @t22))
% 0.38/0.57  (define @t48 () (not @t20))
% 0.38/0.57  (define @t49 () (not @t19))
% 0.38/0.57  (define @t50 () (not @t46))
% 0.38/0.57  (define @t51 () (not @t42))
% 0.38/0.57  (define @t52 () (not @t40))
% 0.38/0.57  (define @t53 () (not @t38))
% 0.38/0.57  (define @t54 () (not @t23))
% 0.38/0.57  (define @t55 () (not @t54))
% 0.38/0.57  (define @t56 () (= true false))
% 0.38/0.57  (define @t57 () (and @t54 @t22 @t42 @t20 @t40 @t19 @t38 @t46))
% 0.38/0.57  (define @t58 () (not @t53))
% 0.38/0.57  (define @t59 () (not @t49))
% 0.38/0.57  (define @t60 () (and @t54 @t22 @t42 @t20 @t40 @t49 @t53 @t46))
% 0.38/0.57  (define @t61 () (not @t52))
% 0.38/0.57  (define @t62 () (not @t48))
% 0.38/0.57  (define @t63 () (and @t54 @t22 @t42 @t48 @t52 @t19 @t38 @t46))
% 0.38/0.57  (define @t64 () (and @t54 @t22 @t42 @t48 @t52 @t49 @t53 @t46))
% 0.38/0.57  (define @t65 () (@list true))
% 0.38/0.57  (define @t66 () (not @t51))
% 0.38/0.57  (define @t67 () (not @t47))
% 0.38/0.57  (define @t68 () (and @t54 @t47 @t51 @t20 @t40 @t19 @t38 @t46))
% 0.38/0.57  (define @t69 () (and @t54 @t47 @t51 @t20 @t40 @t49 @t53 @t46))
% 0.38/0.57  (define @t70 () (and @t54 @t47 @t51 @t48 @t52 @t19 @t38 @t46))
% 0.38/0.57  (define @t71 () (and @t54 @t47 @t51 @t48 @t52 @t49 @t53 @t46))
% 0.38/0.57  (assume @p1 @t9)
% 0.38/0.57  (assume @p2 @t18)
% 0.38/0.57  (assume @p3 true)
% 0.38/0.57  (step @p4 :rule refl :args (@t23))
% 0.38/0.57  (step @p5 :rule refl :args (@t24))
% 0.38/0.57  (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t24 @t23)))
% 0.38/0.57  (step @p7 :rule symm :premises (@p6))
% 0.38/0.57  (step @p8 :rule eq_resolve :premises (@p5 @p7))
% 0.38/0.57  (step @p9 :rule eq-refl :args (@t16))
% 0.38/0.57  (step @p10 :rule skolem_intro :args (@t19))
% 0.38/0.57  (step @p11 :rule refl :args (@t16))
% 0.38/0.57  (step @p12 :rule cong :premises (@p11 @p10) :args (@t25))
% 0.38/0.57  (step @p13 :rule trans :premises (@p12 @p9))
% 0.38/0.57  (step @p14 :rule true_elim :premises (@p13))
% 0.38/0.57  (step @p15 :rule eq-refl :args (@t17))
% 0.38/0.57  (step @p16 :rule skolem_intro :args (@t20))
% 0.38/0.57  (step @p17 :rule refl :args (@t17))
% 0.38/0.57  (step @p18 :rule cong :premises (@p17 @p16) :args (@t26))
% 0.38/0.57  (step @p19 :rule trans :premises (@p18 @p15))
% 0.38/0.57  (step @p20 :rule true_elim :premises (@p19))
% 0.38/0.57  (step @p21 :rule eq-refl :args (@t21))
% 0.38/0.57  (step @p22 :rule skolem_intro :args (@t22))
% 0.38/0.57  (step @p23 :rule refl :args (@t21))
% 0.38/0.57  (step @p24 :rule cong :premises (@p23 @p22) :args (@t27))
% 0.38/0.57  (step @p25 :rule trans :premises (@p24 @p21))
% 0.38/0.57  (step @p26 :rule true_elim :premises (@p25))
% 0.38/0.57  (step @p27 :rule refl :args (tptp.orec3))
% 0.38/0.57  (step @p28 :rule ho_cong :premises (@p27 @p26))
% 0.38/0.57  (step @p29 :rule ho_cong :premises (@p28 @p20))
% 0.38/0.57  (step @p30 :rule ho_cong :premises (@p29 @p14))
% 0.38/0.57  (step @p31 :rule trans :premises (@p30 @p8))
% 0.38/0.57  (step @p32 :rule cong :premises (@p31) :args ((not (_ (_ (_ tptp.orec3 @t21) @t17) @t16))))
% 0.38/0.57  (step @p33 :rule eq-symm :args (@t15 @t12))
% 0.38/0.57  (step @p34 :rule ho_cong :premises (@p27 @p33))
% 0.38/0.57  (step @p35 :rule ho_cong :premises (@p34 @p17))
% 0.38/0.57  (step @p36 :rule ho_cong :premises (@p35 @p11))
% 0.38/0.57  (step @p37 :rule cong :premises (@p36) :args (@t18))
% 0.38/0.57  (step @p38 :rule trans :premises (@p37 @p32))
% 0.38/0.57  (step @p39 :rule eq_resolve :premises (@p2 @p38))
% 0.38/0.57  (step @p40 :rule refl :args ((tptp.orec3 @t5 @t4 @t3)))
% 0.38/0.57  (step @p41 :rule refl :args (@t28))
% 0.38/0.57  (step @p42 :rule refl :args (@t29))
% 0.38/0.57  (step @p43 :rule refl :args (@t5))
% 0.38/0.57  (step @p44 :rule cong :premises (@p43 @p42 @p41) :args (@t30))
% 0.38/0.57  (step @p45 :rule trans :premises (@p44 @p40))
% 0.38/0.57  (step @p46 :rule refl :args (@t6))
% 0.38/0.57  (step @p47 :rule ho_cong :premises (@p46 @p42))
% 0.38/0.57  (step @p48 :rule ho_cong :premises (@p47 @p41))
% 0.38/0.57  (step @p49 :rule cong :premises (@p48 @p45) :args ((= (_ (_ @t6 @t29) @t28) @t30)))
% 0.38/0.57  (step @p50 :rule symm :premises (@p49))
% 0.38/0.57  (step @p51 :rule refl :args (@t7))
% 0.38/0.57  (step @p52 :rule eq_resolve :premises (@p51 @p50))
% 0.38/0.57  (step @p53 :rule refl :args (@t3))
% 0.38/0.57  (step @p54 :rule cong :premises (@p53 @p41) :args ((= @t3 @t28)))
% 0.38/0.57  (step @p55 :rule symm :premises (@p54))
% 0.38/0.57  (step @p56 :rule eq_resolve :premises (@p53 @p55))
% 0.38/0.57  (step @p57 :rule refl :args (@t4))
% 0.38/0.57  (step @p58 :rule cong :premises (@p57 @p42) :args ((= @t4 @t29)))
% 0.38/0.57  (step @p59 :rule symm :premises (@p58))
% 0.38/0.57  (step @p60 :rule eq_resolve :premises (@p57 @p59))
% 0.38/0.57  (step @p61 :rule ho_cong :premises (@p46 @p60))
% 0.38/0.57  (step @p62 :rule ho_cong :premises (@p61 @p56))
% 0.38/0.57  (step @p63 :rule trans :premises (@p62 @p52))
% 0.38/0.57  (step @p64 :rule cong :premises (@p63) :args (@t9))
% 0.38/0.57  (step @p65 :rule eq_resolve :premises (@p1 @p64))
% 0.38/0.57  (step @p66 :rule eq-refl :args (@t37))
% 0.38/0.57  (step @p67 :rule skolem_intro :args (@t38))
% 0.38/0.57  (step @p68 :rule refl :args (@t37))
% 0.38/0.57  (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t37 @t38)))
% 0.38/0.57  (step @p70 :rule trans :premises (@p69 @p66))
% 0.38/0.57  (step @p71 :rule true_elim :premises (@p70))
% 0.38/0.57  (step @p72 :rule eq-refl :args (@t39))
% 0.38/0.57  (step @p73 :rule skolem_intro :args (@t40))
% 0.38/0.57  (step @p74 :rule refl :args (@t39))
% 0.38/0.57  (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t39 @t40)))
% 0.38/0.57  (step @p76 :rule trans :premises (@p75 @p72))
% 0.38/0.57  (step @p77 :rule true_elim :premises (@p76))
% 0.38/0.57  (step @p78 :rule eq-refl :args (@t41))
% 0.38/0.57  (step @p79 :rule skolem_intro :args (@t42))
% 0.38/0.57  (step @p80 :rule refl :args (@t41))
% 0.38/0.57  (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t41 @t42)))
% 0.38/0.57  (step @p82 :rule trans :premises (@p81 @p78))
% 0.38/0.57  (step @p83 :rule true_elim :premises (@p82))
% 0.38/0.57  (step @p84 :rule cong :premises (@p83 @p77 @p71) :args (@t43))
% 0.38/0.57  (step @p85 :rule refl :args (@t44))
% 0.38/0.57  (step @p86 :rule cong :premises (@p85 @p84) :args ((=> @t44 @t43)))
% 0.38/0.57  (step @p87 :rule eq-symm :args (@t36 @t33))
% 0.38/0.57  (step @p88 :rule cong :premises (@p87 @p74 @p68) :args (@t45))
% 0.38/0.57  (step @p89 :rule cong :premises (@p85 @p88) :args ((=> @t44 @t45)))
% 0.38/0.57  (assume-push @p689 @t44)
% 0.38/0.57  (step @p91 :rule instantiate :premises (@p65) :args ((@list @t36 @t33)))
% 0.38/0.57  (step-pop @p690 :rule scope :premises (@p91))
% 0.38/0.57  (step @p92 :rule process_scope :premises (@p690) :args (@t45))
% 0.38/0.57  (step @p94 :rule eq_resolve :premises (@p92 @p89))
% 0.38/0.57  (step @p95 :rule eq_resolve :premises (@p94 @p86))
% 0.38/0.57  (step @p96 :rule implies_elim :premises (@p95))
% 0.38/0.57  (step @p97 :rule chain_m_resolution :premises (@p96 @p65) :args (@t46 (@list false) (@list @t44)))
% 0.38/0.57  (step @p98 :rule eq-symm :args (@t41 @t22))
% 0.38/0.57  (step @p99 :rule refl :args (@t22))
% 0.38/0.57  (step @p100 :rule refl :args ((tptp.ts @t14 @t13)))
% 0.38/0.57  (step @p101 :rule refl :args (@t34))
% 0.38/0.57  (step @p102 :rule refl :args (@t35))
% 0.38/0.57  (step @p103 :rule cong :premises (@p102 @p101) :args (@t36))
% 0.38/0.57  (step @p104 :rule trans :premises (@p103 @p100))
% 0.38/0.57  (step @p105 :rule refl :args (tptp.ts))
% 0.38/0.57  (step @p106 :rule ho_cong :premises (@p105 @p102))
% 0.38/0.57  (step @p107 :rule ho_cong :premises (@p106 @p101))
% 0.38/0.57  (step @p108 :rule cong :premises (@p107 @p104) :args ((= (_ (_ tptp.ts @t35) @t34) @t36)))
% 0.38/0.57  (step @p109 :rule symm :premises (@p108))
% 0.38/0.57  (step @p110 :rule refl :args (@t15))
% 0.38/0.57  (step @p111 :rule eq_resolve :premises (@p110 @p109))
% 0.38/0.57  (step @p112 :rule refl :args (@t13))
% 0.38/0.57  (step @p113 :rule cong :premises (@p112 @p101) :args ((= @t13 @t34)))
% 0.38/0.57  (step @p114 :rule symm :premises (@p113))
% 0.38/0.57  (step @p115 :rule eq_resolve :premises (@p112 @p114))
% 0.38/0.57  (step @p116 :rule refl :args (@t14))
% 0.38/0.57  (step @p117 :rule cong :premises (@p116 @p102) :args ((= @t14 @t35)))
% 0.38/0.57  (step @p118 :rule symm :premises (@p117))
% 0.38/0.57  (step @p119 :rule eq_resolve :premises (@p116 @p118))
% 0.38/0.57  (step @p120 :rule refl :args (tptp.ts))
% 0.38/0.57  (step @p121 :rule ho_cong :premises (@p120 @p119))
% 0.38/0.57  (step @p122 :rule ho_cong :premises (@p121 @p115))
% 0.38/0.57  (step @p123 :rule trans :premises (@p122 @p111))
% 0.38/0.57  (step @p124 :rule refl :args ((tptp.ts @t11 @t10)))
% 0.38/0.57  (step @p125 :rule refl :args (@t31))
% 0.38/0.57  (step @p126 :rule refl :args (@t32))
% 0.38/0.57  (step @p127 :rule cong :premises (@p126 @p125) :args (@t33))
% 0.38/0.57  (step @p128 :rule trans :premises (@p127 @p124))
% 0.38/0.57  (step @p129 :rule ho_cong :premises (@p105 @p126))
% 0.38/0.57  (step @p130 :rule ho_cong :premises (@p129 @p125))
% 0.38/0.57  (step @p131 :rule cong :premises (@p130 @p128) :args ((= (_ (_ tptp.ts @t32) @t31) @t33)))
% 0.38/0.57  (step @p132 :rule symm :premises (@p131))
% 0.38/0.57  (step @p133 :rule refl :args (@t12))
% 0.38/0.57  (step @p134 :rule eq_resolve :premises (@p133 @p132))
% 0.38/0.57  (step @p135 :rule refl :args (@t10))
% 0.38/0.57  (step @p136 :rule cong :premises (@p135 @p125) :args ((= @t10 @t31)))
% 0.38/0.57  (step @p137 :rule symm :premises (@p136))
% 0.38/0.57  (step @p138 :rule eq_resolve :premises (@p135 @p137))
% 0.38/0.57  (step @p139 :rule refl :args (@t11))
% 0.38/0.57  (step @p140 :rule cong :premises (@p139 @p126) :args ((= @t11 @t32)))
% 0.38/0.57  (step @p141 :rule symm :premises (@p140))
% 0.38/0.57  (step @p142 :rule eq_resolve :premises (@p139 @p141))
% 0.38/0.57  (step @p143 :rule ho_cong :premises (@p120 @p142))
% 0.38/0.57  (step @p144 :rule ho_cong :premises (@p143 @p138))
% 0.38/0.57  (step @p145 :rule trans :premises (@p144 @p134))
% 0.38/0.57  (step @p146 :rule cong :premises (@p145 @p123) :args (@t21))
% 0.38/0.57  (step @p147 :rule cong :premises (@p146 @p99) :args (@t27))
% 0.38/0.57  (step @p148 :rule trans :premises (@p147 @p98))
% 0.38/0.57  (step @p149 :rule eq-symm :args (@t22 @t21))
% 0.38/0.57  (step @p150 :rule trans :premises (@p149 @p148))
% 0.38/0.57  (step @p151 :rule eq_resolve :premises (@p22 @p150))
% 0.38/0.57  (step @p152 :rule equiv_elim1 :premises (@p151))
% 0.38/0.57  (step @p153 :rule reordering :premises (@p152) :args ((or @t41 @t47)))
% 0.38/0.57  (step @p154 :rule equiv_elim1 :premises (@p83))
% 0.38/0.57  (step @p155 :rule eq-symm :args (@t39 @t20))
% 0.38/0.57  (step @p156 :rule refl :args (@t20))
% 0.38/0.57  (step @p157 :rule refl :args ((tptp.more @t15 @t12)))
% 0.38/0.57  (step @p158 :rule cong :premises (@p104 @p128) :args (@t39))
% 0.38/0.57  (step @p159 :rule trans :premises (@p158 @p157))
% 0.38/0.57  (step @p160 :rule refl :args (tptp.more))
% 0.38/0.57  (step @p161 :rule ho_cong :premises (@p160 @p104))
% 0.38/0.57  (step @p162 :rule ho_cong :premises (@p161 @p128))
% 0.38/0.57  (step @p163 :rule cong :premises (@p162 @p159) :args ((= (_ (_ tptp.more @t36) @t33) @t39)))
% 0.38/0.57  (step @p164 :rule symm :premises (@p163))
% 0.38/0.57  (step @p165 :rule refl :args (@t17))
% 0.38/0.57  (step @p166 :rule eq_resolve :premises (@p165 @p164))
% 0.38/0.57  (step @p167 :rule refl :args (tptp.more))
% 0.38/0.57  (step @p168 :rule ho_cong :premises (@p167 @p123))
% 0.38/0.57  (step @p169 :rule ho_cong :premises (@p168 @p145))
% 0.38/0.57  (step @p170 :rule trans :premises (@p169 @p166))
% 0.38/0.57  (step @p171 :rule cong :premises (@p170 @p156) :args (@t26))
% 0.38/0.57  (step @p172 :rule trans :premises (@p171 @p155))
% 0.38/0.57  (step @p173 :rule eq-symm :args (@t20 @t17))
% 0.38/0.57  (step @p174 :rule trans :premises (@p173 @p172))
% 0.38/0.57  (step @p175 :rule eq_resolve :premises (@p16 @p174))
% 0.38/0.57  (step @p176 :rule equiv_elim1 :premises (@p175))
% 0.38/0.57  (step @p177 :rule reordering :premises (@p176) :args ((or @t39 @t48)))
% 0.38/0.57  (step @p178 :rule equiv_elim1 :premises (@p77))
% 0.38/0.57  (step @p179 :rule eq-symm :args (@t37 @t19))
% 0.38/0.57  (step @p180 :rule refl :args (@t19))
% 0.38/0.57  (step @p181 :rule refl :args ((tptp.less @t15 @t12)))
% 0.38/0.57  (step @p182 :rule cong :premises (@p104 @p128) :args (@t37))
% 0.38/0.57  (step @p183 :rule trans :premises (@p182 @p181))
% 0.38/0.57  (step @p184 :rule refl :args (tptp.less))
% 0.38/0.57  (step @p185 :rule ho_cong :premises (@p184 @p104))
% 0.38/0.57  (step @p186 :rule ho_cong :premises (@p185 @p128))
% 0.38/0.57  (step @p187 :rule cong :premises (@p186 @p183) :args ((= (_ (_ tptp.less @t36) @t33) @t37)))
% 0.38/0.57  (step @p188 :rule symm :premises (@p187))
% 0.38/0.57  (step @p189 :rule refl :args (@t16))
% 0.38/0.57  (step @p190 :rule eq_resolve :premises (@p189 @p188))
% 0.38/0.57  (step @p191 :rule refl :args (tptp.less))
% 0.38/0.57  (step @p192 :rule ho_cong :premises (@p191 @p123))
% 0.38/0.57  (step @p193 :rule ho_cong :premises (@p192 @p145))
% 0.38/0.57  (step @p194 :rule trans :premises (@p193 @p190))
% 0.38/0.57  (step @p195 :rule cong :premises (@p194 @p180) :args (@t25))
% 0.38/0.57  (step @p196 :rule trans :premises (@p195 @p179))
% 0.38/0.57  (step @p197 :rule eq-symm :args (@t19 @t16))
% 0.38/0.57  (step @p198 :rule trans :premises (@p197 @p196))
% 0.38/0.57  (step @p199 :rule eq_resolve :premises (@p10 @p198))
% 0.38/0.57  (step @p200 :rule equiv_elim1 :premises (@p199))
% 0.38/0.57  (step @p201 :rule reordering :premises (@p200) :args ((or @t37 @t49)))
% 0.38/0.57  (step @p202 :rule equiv_elim1 :premises (@p71))
% 0.38/0.57  (step @p203 :rule refl :args (@t50))
% 0.38/0.57  (step @p204 :rule refl :args (@t51))
% 0.38/0.57  (step @p205 :rule refl :args (@t52))
% 0.38/0.57  (step @p206 :rule refl :args (@t53))
% 0.38/0.57  (step @p207 :rule bool-double-not-elim :args (@t23))
% 0.38/0.57  (step @p208 :rule refl :args (@t47))
% 0.38/0.57  (step @p209 :rule refl :args (@t48))
% 0.38/0.57  (step @p210 :rule refl :args (@t49))
% 0.38/0.57  (step @p211 :rule nary_cong :premises (@p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203) :args ((or @t49 @t48 @t47 @t55 @t53 @t52 @t51 @t50)))
% 0.38/0.57  (assume-push @p691 @t54)
% 0.38/0.57  (assume-push @p692 @t22)
% 0.38/0.57  (assume-push @p693 @t42)
% 0.38/0.57  (assume-push @p694 @t20)
% 0.38/0.57  (assume-push @p695 @t40)
% 0.38/0.57  (assume-push @p696 @t19)
% 0.38/0.57  (assume-push @p697 @t38)
% 0.38/0.57  (assume-push @p698 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p222 :rule true_intro :premises (@p696))
% 0.38/0.57  (step @p223 :rule symm :premises (@p222))
% 0.38/0.57  (step @p224 :rule true_intro :premises (@p697))
% 0.38/0.57  (step @p225 :rule trans :premises (@p224 @p223))
% 0.38/0.57  (step @p226 :rule true_intro :premises (@p694))
% 0.38/0.57  (step @p227 :rule symm :premises (@p226))
% 0.38/0.57  (step @p228 :rule true_intro :premises (@p695))
% 0.38/0.57  (step @p229 :rule trans :premises (@p228 @p227))
% 0.38/0.57  (step @p230 :rule true_intro :premises (@p692))
% 0.38/0.57  (step @p231 :rule symm :premises (@p230))
% 0.38/0.57  (step @p232 :rule true_intro :premises (@p693))
% 0.38/0.57  (step @p233 :rule trans :premises (@p232 @p231))
% 0.38/0.57  (step @p234 :rule cong :premises (@p233 @p229 @p225) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p237 :rule trans :premises (@p236 @p234 @p221))
% 0.38/0.57  (step @p238 false :rule eq_resolve :premises (@p237 @p220))
% 0.38/0.57  (step-pop @p699 :rule scope :premises (@p238))
% 0.38/0.57  (step-pop @p700 :rule scope :premises (@p699))
% 0.38/0.57  (step-pop @p701 :rule scope :premises (@p700))
% 0.38/0.57  (step-pop @p702 :rule scope :premises (@p701))
% 0.38/0.57  (step-pop @p703 :rule scope :premises (@p702))
% 0.38/0.57  (step-pop @p704 :rule scope :premises (@p703))
% 0.38/0.57  (step-pop @p705 :rule scope :premises (@p704))
% 0.38/0.57  (step-pop @p706 :rule scope :premises (@p705))
% 0.38/0.57  (step @p239 :rule process_scope :premises (@p706) :args (false))
% 0.38/0.57  (assume-push @p707 @t19)
% 0.38/0.57  (assume-push @p708 @t20)
% 0.38/0.57  (assume-push @p709 @t22)
% 0.38/0.57  (assume-push @p710 @t54)
% 0.38/0.57  (assume-push @p711 @t38)
% 0.38/0.57  (assume-push @p712 @t40)
% 0.38/0.57  (assume-push @p713 @t42)
% 0.38/0.57  (assume-push @p714 @t46)
% 0.38/0.57  (step @p256 :rule and_intro :premises (@p39 @p709 @p713 @p708 @p712 @p707 @p711 @p97))
% 0.38/0.57  (step-pop @p715 :rule scope :premises (@p256))
% 0.38/0.57  (step-pop @p716 :rule scope :premises (@p715))
% 0.38/0.57  (step-pop @p717 :rule scope :premises (@p716))
% 0.38/0.57  (step-pop @p718 :rule scope :premises (@p717))
% 0.38/0.57  (step-pop @p719 :rule scope :premises (@p718))
% 0.38/0.57  (step-pop @p720 :rule scope :premises (@p719))
% 0.38/0.57  (step-pop @p721 :rule scope :premises (@p720))
% 0.38/0.57  (step-pop @p722 :rule scope :premises (@p721))
% 0.38/0.57  (step @p257 :rule process_scope :premises (@p722) :args (@t57))
% 0.38/0.57  (step @p266 :rule implies_elim :premises (@p257))
% 0.38/0.57  (step @p267 :rule resolution :premises (@p266 @p239) :args (true @t57))
% 0.38/0.57  (step @p268 :rule not_and :premises (@p267))
% 0.38/0.57  (step @p269 :rule eq_resolve :premises (@p268 @p211))
% 0.38/0.57  (step @p270 :rule reordering :premises (@p269) :args ((or @t23 @t49 @t48 @t47 @t50 @t53 @t52 @t51)))
% 0.38/0.57  (step @p271 :rule chain_m_resolution :premises (@p270 @p97 @p39 @p202 @p201 @p154 @p153 @p178 @p177) :args ((or @t49 @t48 @t47) (@list false true false false false false false false) (@list @t46 @t23 @t38 @t37 @t42 @t41 @t40 @t39)))
% 0.38/0.57  (step @p272 :rule equiv_elim2 :premises (@p199))
% 0.38/0.57  (step @p273 :rule equiv_elim2 :premises (@p71))
% 0.38/0.57  (step @p274 :rule bool-double-not-elim :args (@t38))
% 0.38/0.57  (step @p275 :rule bool-double-not-elim :args (@t19))
% 0.38/0.57  (step @p276 :rule nary_cong :premises (@p209 @p208 @p207 @p275 @p205 @p204 @p203 @p274) :args ((or @t48 @t47 @t55 @t59 @t52 @t51 @t50 @t58)))
% 0.38/0.57  (assume-push @p723 @t54)
% 0.38/0.57  (assume-push @p724 @t22)
% 0.38/0.57  (assume-push @p725 @t42)
% 0.38/0.57  (assume-push @p726 @t20)
% 0.38/0.57  (assume-push @p727 @t40)
% 0.38/0.57  (assume-push @p728 @t49)
% 0.38/0.57  (assume-push @p729 @t53)
% 0.38/0.57  (assume-push @p730 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p285 :rule false_intro :premises (@p728))
% 0.38/0.57  (step @p286 :rule symm :premises (@p285))
% 0.38/0.57  (step @p287 :rule false_intro :premises (@p729))
% 0.38/0.57  (step @p288 :rule trans :premises (@p287 @p286))
% 0.38/0.57  (step @p289 :rule true_intro :premises (@p726))
% 0.38/0.57  (step @p290 :rule symm :premises (@p289))
% 0.38/0.57  (step @p291 :rule true_intro :premises (@p727))
% 0.38/0.57  (step @p292 :rule trans :premises (@p291 @p290))
% 0.38/0.57  (step @p293 :rule true_intro :premises (@p724))
% 0.38/0.57  (step @p294 :rule symm :premises (@p293))
% 0.38/0.57  (step @p295 :rule true_intro :premises (@p725))
% 0.38/0.57  (step @p296 :rule trans :premises (@p295 @p294))
% 0.38/0.57  (step @p297 :rule cong :premises (@p296 @p292 @p288) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p298 :rule trans :premises (@p236 @p297 @p221))
% 0.38/0.57  (step @p299 false :rule eq_resolve :premises (@p298 @p220))
% 0.38/0.57  (step-pop @p731 :rule scope :premises (@p299))
% 0.38/0.57  (step-pop @p732 :rule scope :premises (@p731))
% 0.38/0.57  (step-pop @p733 :rule scope :premises (@p732))
% 0.38/0.57  (step-pop @p734 :rule scope :premises (@p733))
% 0.38/0.57  (step-pop @p735 :rule scope :premises (@p734))
% 0.38/0.57  (step-pop @p736 :rule scope :premises (@p735))
% 0.38/0.57  (step-pop @p737 :rule scope :premises (@p736))
% 0.38/0.57  (step-pop @p738 :rule scope :premises (@p737))
% 0.38/0.57  (step @p300 :rule process_scope :premises (@p738) :args (false))
% 0.38/0.57  (assume-push @p739 @t20)
% 0.38/0.57  (assume-push @p740 @t22)
% 0.38/0.57  (assume-push @p741 @t54)
% 0.38/0.57  (assume-push @p742 @t49)
% 0.38/0.57  (assume-push @p743 @t40)
% 0.38/0.57  (assume-push @p744 @t42)
% 0.38/0.57  (assume-push @p745 @t46)
% 0.38/0.57  (assume-push @p746 @t53)
% 0.38/0.57  (step @p317 :rule and_intro :premises (@p39 @p740 @p744 @p739 @p743 @p742 @p746 @p97))
% 0.38/0.57  (step-pop @p747 :rule scope :premises (@p317))
% 0.38/0.57  (step-pop @p748 :rule scope :premises (@p747))
% 0.38/0.57  (step-pop @p749 :rule scope :premises (@p748))
% 0.38/0.57  (step-pop @p750 :rule scope :premises (@p749))
% 0.38/0.57  (step-pop @p751 :rule scope :premises (@p750))
% 0.38/0.57  (step-pop @p752 :rule scope :premises (@p751))
% 0.38/0.57  (step-pop @p753 :rule scope :premises (@p752))
% 0.38/0.57  (step-pop @p754 :rule scope :premises (@p753))
% 0.38/0.57  (step @p318 :rule process_scope :premises (@p754) :args (@t60))
% 0.38/0.57  (step @p327 :rule implies_elim :premises (@p318))
% 0.38/0.57  (step @p328 :rule resolution :premises (@p327 @p300) :args (true @t60))
% 0.38/0.57  (step @p329 :rule not_and :premises (@p328))
% 0.38/0.57  (step @p330 :rule eq_resolve :premises (@p329 @p276))
% 0.38/0.57  (step @p331 :rule reordering :premises (@p330) :args ((or @t19 @t23 @t48 @t47 @t38 @t50 @t52 @t51)))
% 0.38/0.57  (step @p332 :rule chain_m_resolution :premises (@p331 @p97 @p39 @p273 @p272 @p271 @p178 @p177 @p154 @p153) :args ((or @t48 @t47) (@list false true true true true false false false false) (@list @t46 @t23 @t38 @t37 @t19 @t40 @t39 @t42 @t41)))
% 0.38/0.57  (step @p333 :rule equiv_elim2 :premises (@p175))
% 0.38/0.57  (step @p334 :rule equiv_elim2 :premises (@p77))
% 0.38/0.57  (step @p335 :rule bool-double-not-elim :args (@t40))
% 0.38/0.57  (step @p336 :rule bool-double-not-elim :args (@t20))
% 0.38/0.57  (step @p337 :rule nary_cong :premises (@p210 @p208 @p207 @p336 @p206 @p204 @p203 @p335) :args ((or @t49 @t47 @t55 @t62 @t53 @t51 @t50 @t61)))
% 0.38/0.57  (assume-push @p755 @t54)
% 0.38/0.57  (assume-push @p756 @t22)
% 0.38/0.57  (assume-push @p757 @t42)
% 0.38/0.57  (assume-push @p758 @t48)
% 0.38/0.57  (assume-push @p759 @t52)
% 0.38/0.57  (assume-push @p760 @t19)
% 0.38/0.57  (assume-push @p761 @t38)
% 0.38/0.57  (assume-push @p762 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p346 :rule true_intro :premises (@p760))
% 0.38/0.57  (step @p347 :rule symm :premises (@p346))
% 0.38/0.57  (step @p348 :rule true_intro :premises (@p761))
% 0.38/0.57  (step @p349 :rule trans :premises (@p348 @p347))
% 0.38/0.57  (step @p350 :rule false_intro :premises (@p758))
% 0.38/0.57  (step @p351 :rule symm :premises (@p350))
% 0.38/0.57  (step @p352 :rule false_intro :premises (@p759))
% 0.38/0.57  (step @p353 :rule trans :premises (@p352 @p351))
% 0.38/0.57  (step @p354 :rule true_intro :premises (@p756))
% 0.38/0.57  (step @p355 :rule symm :premises (@p354))
% 0.38/0.57  (step @p356 :rule true_intro :premises (@p757))
% 0.38/0.57  (step @p357 :rule trans :premises (@p356 @p355))
% 0.38/0.57  (step @p358 :rule cong :premises (@p357 @p353 @p349) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p359 :rule trans :premises (@p236 @p358 @p221))
% 0.38/0.57  (step @p360 false :rule eq_resolve :premises (@p359 @p220))
% 0.38/0.57  (step-pop @p763 :rule scope :premises (@p360))
% 0.38/0.57  (step-pop @p764 :rule scope :premises (@p763))
% 0.38/0.57  (step-pop @p765 :rule scope :premises (@p764))
% 0.38/0.57  (step-pop @p766 :rule scope :premises (@p765))
% 0.38/0.57  (step-pop @p767 :rule scope :premises (@p766))
% 0.38/0.57  (step-pop @p768 :rule scope :premises (@p767))
% 0.38/0.57  (step-pop @p769 :rule scope :premises (@p768))
% 0.38/0.57  (step-pop @p770 :rule scope :premises (@p769))
% 0.38/0.57  (step @p361 :rule process_scope :premises (@p770) :args (false))
% 0.38/0.57  (assume-push @p771 @t19)
% 0.38/0.57  (assume-push @p772 @t22)
% 0.38/0.57  (assume-push @p773 @t54)
% 0.38/0.57  (assume-push @p774 @t48)
% 0.38/0.57  (assume-push @p775 @t38)
% 0.38/0.57  (assume-push @p776 @t42)
% 0.38/0.57  (assume-push @p777 @t46)
% 0.38/0.57  (assume-push @p778 @t52)
% 0.38/0.57  (step @p378 :rule and_intro :premises (@p39 @p772 @p776 @p774 @p778 @p771 @p775 @p97))
% 0.38/0.57  (step-pop @p779 :rule scope :premises (@p378))
% 0.38/0.57  (step-pop @p780 :rule scope :premises (@p779))
% 0.38/0.57  (step-pop @p781 :rule scope :premises (@p780))
% 0.38/0.57  (step-pop @p782 :rule scope :premises (@p781))
% 0.38/0.57  (step-pop @p783 :rule scope :premises (@p782))
% 0.38/0.57  (step-pop @p784 :rule scope :premises (@p783))
% 0.38/0.57  (step-pop @p785 :rule scope :premises (@p784))
% 0.38/0.57  (step-pop @p786 :rule scope :premises (@p785))
% 0.38/0.57  (step @p379 :rule process_scope :premises (@p786) :args (@t63))
% 0.38/0.57  (step @p388 :rule implies_elim :premises (@p379))
% 0.38/0.57  (step @p389 :rule resolution :premises (@p388 @p361) :args (true @t63))
% 0.38/0.57  (step @p390 :rule not_and :premises (@p389))
% 0.38/0.57  (step @p391 :rule eq_resolve :premises (@p390 @p337))
% 0.38/0.57  (step @p392 :rule reordering :premises (@p391) :args ((or @t20 @t23 @t49 @t47 @t40 @t50 @t53 @t51)))
% 0.38/0.57  (step @p393 :rule chain_m_resolution :premises (@p392 @p97 @p39 @p202 @p201 @p154 @p153 @p334 @p333 @p332) :args ((or @t49 @t47) (@list false true false false false false true true true) (@list @t46 @t23 @t38 @t37 @t42 @t41 @t40 @t39 @t20)))
% 0.38/0.57  (step @p394 :rule nary_cong :premises (@p208 @p207 @p275 @p336 @p204 @p203 @p274 @p335) :args ((or @t47 @t55 @t59 @t62 @t51 @t50 @t58 @t61)))
% 0.38/0.57  (assume-push @p787 @t54)
% 0.38/0.57  (assume-push @p788 @t22)
% 0.38/0.57  (assume-push @p789 @t42)
% 0.38/0.57  (assume-push @p790 @t48)
% 0.38/0.57  (assume-push @p791 @t52)
% 0.38/0.57  (assume-push @p792 @t49)
% 0.38/0.57  (assume-push @p793 @t53)
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% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p403 :rule false_intro :premises (@p792))
% 0.38/0.57  (step @p404 :rule symm :premises (@p403))
% 0.38/0.57  (step @p405 :rule false_intro :premises (@p793))
% 0.38/0.57  (step @p406 :rule trans :premises (@p405 @p404))
% 0.38/0.57  (step @p407 :rule false_intro :premises (@p790))
% 0.38/0.57  (step @p408 :rule symm :premises (@p407))
% 0.38/0.57  (step @p409 :rule false_intro :premises (@p791))
% 0.38/0.57  (step @p410 :rule trans :premises (@p409 @p408))
% 0.38/0.57  (step @p411 :rule true_intro :premises (@p788))
% 0.38/0.57  (step @p412 :rule symm :premises (@p411))
% 0.38/0.57  (step @p413 :rule true_intro :premises (@p789))
% 0.38/0.57  (step @p414 :rule trans :premises (@p413 @p412))
% 0.38/0.57  (step @p415 :rule cong :premises (@p414 @p410 @p406) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p416 :rule trans :premises (@p236 @p415 @p221))
% 0.38/0.57  (step @p417 false :rule eq_resolve :premises (@p416 @p220))
% 0.38/0.57  (step-pop @p795 :rule scope :premises (@p417))
% 0.38/0.57  (step-pop @p796 :rule scope :premises (@p795))
% 0.38/0.57  (step-pop @p797 :rule scope :premises (@p796))
% 0.38/0.57  (step-pop @p798 :rule scope :premises (@p797))
% 0.38/0.57  (step-pop @p799 :rule scope :premises (@p798))
% 0.38/0.57  (step-pop @p800 :rule scope :premises (@p799))
% 0.38/0.57  (step-pop @p801 :rule scope :premises (@p800))
% 0.38/0.57  (step-pop @p802 :rule scope :premises (@p801))
% 0.38/0.57  (step @p418 :rule process_scope :premises (@p802) :args (false))
% 0.38/0.57  (assume-push @p803 @t22)
% 0.38/0.57  (assume-push @p804 @t54)
% 0.38/0.57  (assume-push @p805 @t49)
% 0.38/0.57  (assume-push @p806 @t48)
% 0.38/0.57  (assume-push @p807 @t42)
% 0.38/0.57  (assume-push @p808 @t46)
% 0.38/0.57  (assume-push @p809 @t53)
% 0.38/0.57  (assume-push @p810 @t52)
% 0.38/0.57  (step @p435 :rule and_intro :premises (@p39 @p803 @p807 @p806 @p810 @p805 @p809 @p97))
% 0.38/0.57  (step-pop @p811 :rule scope :premises (@p435))
% 0.38/0.57  (step-pop @p812 :rule scope :premises (@p811))
% 0.38/0.57  (step-pop @p813 :rule scope :premises (@p812))
% 0.38/0.57  (step-pop @p814 :rule scope :premises (@p813))
% 0.38/0.57  (step-pop @p815 :rule scope :premises (@p814))
% 0.38/0.57  (step-pop @p816 :rule scope :premises (@p815))
% 0.38/0.57  (step-pop @p817 :rule scope :premises (@p816))
% 0.38/0.57  (step-pop @p818 :rule scope :premises (@p817))
% 0.38/0.57  (step @p436 :rule process_scope :premises (@p818) :args (@t64))
% 0.38/0.57  (step @p445 :rule implies_elim :premises (@p436))
% 0.38/0.57  (step @p446 :rule resolution :premises (@p445 @p418) :args (true @t64))
% 0.38/0.57  (step @p447 :rule not_and :premises (@p446))
% 0.38/0.57  (step @p448 :rule eq_resolve :premises (@p447 @p394))
% 0.38/0.57  (step @p449 :rule reordering :premises (@p448) :args ((or @t19 @t20 @t23 @t47 @t38 @t40 @t50 @t51)))
% 0.38/0.57  (step @p450 :rule chain_m_resolution :premises (@p449 @p97 @p39 @p273 @p272 @p393 @p334 @p333 @p332 @p154 @p153) :args (@t47 (@list false true true true true true true true false false) (@list @t46 @t23 @t38 @t37 @t19 @t40 @t39 @t20 @t42 @t41)))
% 0.38/0.57  (step @p451 :rule equiv_elim2 :premises (@p151))
% 0.38/0.57  (step @p452 :rule chain_m_resolution :premises (@p451 @p450) :args ((not @t41) @t65 (@list @t22)))
% 0.38/0.57  (step @p453 :rule equiv_elim2 :premises (@p83))
% 0.38/0.57  (step @p454 :rule chain_m_resolution :premises (@p453 @p452) :args (@t51 @t65 (@list @t41)))
% 0.38/0.57  (step @p455 :rule bool-double-not-elim :args (@t42))
% 0.38/0.57  (step @p456 :rule bool-double-not-elim :args (@t22))
% 0.38/0.57  (step @p457 :rule nary_cong :premises (@p210 @p209 @p207 @p456 @p206 @p205 @p203 @p455) :args ((or @t49 @t48 @t55 @t67 @t53 @t52 @t50 @t66)))
% 0.38/0.57  (assume-push @p819 @t54)
% 0.38/0.57  (assume-push @p820 @t47)
% 0.38/0.57  (assume-push @p821 @t51)
% 0.38/0.57  (assume-push @p822 @t20)
% 0.38/0.57  (assume-push @p823 @t40)
% 0.38/0.57  (assume-push @p824 @t19)
% 0.38/0.57  (assume-push @p825 @t38)
% 0.38/0.57  (assume-push @p826 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p466 :rule true_intro :premises (@p824))
% 0.38/0.57  (step @p467 :rule symm :premises (@p466))
% 0.38/0.57  (step @p468 :rule true_intro :premises (@p825))
% 0.38/0.57  (step @p469 :rule trans :premises (@p468 @p467))
% 0.38/0.57  (step @p470 :rule true_intro :premises (@p822))
% 0.38/0.57  (step @p471 :rule symm :premises (@p470))
% 0.38/0.57  (step @p472 :rule true_intro :premises (@p823))
% 0.38/0.57  (step @p473 :rule trans :premises (@p472 @p471))
% 0.38/0.57  (step @p474 :rule false_intro :premises (@p820))
% 0.38/0.57  (step @p475 :rule symm :premises (@p474))
% 0.38/0.57  (step @p476 :rule false_intro :premises (@p821))
% 0.38/0.57  (step @p477 :rule trans :premises (@p476 @p475))
% 0.38/0.57  (step @p478 :rule cong :premises (@p477 @p473 @p469) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p479 :rule trans :premises (@p236 @p478 @p221))
% 0.38/0.57  (step @p480 false :rule eq_resolve :premises (@p479 @p220))
% 0.38/0.57  (step-pop @p827 :rule scope :premises (@p480))
% 0.38/0.57  (step-pop @p828 :rule scope :premises (@p827))
% 0.38/0.57  (step-pop @p829 :rule scope :premises (@p828))
% 0.38/0.57  (step-pop @p830 :rule scope :premises (@p829))
% 0.38/0.57  (step-pop @p831 :rule scope :premises (@p830))
% 0.38/0.57  (step-pop @p832 :rule scope :premises (@p831))
% 0.38/0.57  (step-pop @p833 :rule scope :premises (@p832))
% 0.38/0.57  (step-pop @p834 :rule scope :premises (@p833))
% 0.38/0.57  (step @p481 :rule process_scope :premises (@p834) :args (false))
% 0.38/0.57  (assume-push @p835 @t19)
% 0.38/0.57  (assume-push @p836 @t20)
% 0.38/0.57  (assume-push @p837 @t54)
% 0.38/0.57  (assume-push @p838 @t47)
% 0.38/0.57  (assume-push @p839 @t38)
% 0.38/0.57  (assume-push @p840 @t40)
% 0.38/0.57  (assume-push @p841 @t46)
% 0.38/0.57  (assume-push @p842 @t51)
% 0.38/0.57  (step @p498 :rule and_intro :premises (@p39 @p838 @p842 @p836 @p840 @p835 @p839 @p97))
% 0.38/0.57  (step-pop @p843 :rule scope :premises (@p498))
% 0.38/0.57  (step-pop @p844 :rule scope :premises (@p843))
% 0.38/0.57  (step-pop @p845 :rule scope :premises (@p844))
% 0.38/0.57  (step-pop @p846 :rule scope :premises (@p845))
% 0.38/0.57  (step-pop @p847 :rule scope :premises (@p846))
% 0.38/0.57  (step-pop @p848 :rule scope :premises (@p847))
% 0.38/0.57  (step-pop @p849 :rule scope :premises (@p848))
% 0.38/0.57  (step-pop @p850 :rule scope :premises (@p849))
% 0.38/0.57  (step @p499 :rule process_scope :premises (@p850) :args (@t68))
% 0.38/0.57  (step @p508 :rule implies_elim :premises (@p499))
% 0.38/0.57  (step @p509 :rule resolution :premises (@p508 @p481) :args (true @t68))
% 0.38/0.57  (step @p510 :rule not_and :premises (@p509))
% 0.38/0.57  (step @p511 :rule eq_resolve :premises (@p510 @p457))
% 0.38/0.57  (step @p512 :rule reordering :premises (@p511) :args ((or @t22 @t23 @t49 @t48 @t42 @t50 @t53 @t52)))
% 0.38/0.57  (step @p513 :rule chain_m_resolution :premises (@p512 @p454 @p450 @p97 @p39 @p202 @p201 @p178 @p177) :args ((or @t49 @t48) (@list true true false true false false false false) (@list @t42 @t22 @t46 @t23 @t38 @t37 @t40 @t39)))
% 0.38/0.57  (step @p514 :rule nary_cong :premises (@p209 @p207 @p275 @p456 @p205 @p203 @p274 @p455) :args ((or @t48 @t55 @t59 @t67 @t52 @t50 @t58 @t66)))
% 0.38/0.57  (assume-push @p851 @t54)
% 0.38/0.57  (assume-push @p852 @t47)
% 0.38/0.57  (assume-push @p853 @t51)
% 0.38/0.57  (assume-push @p854 @t20)
% 0.38/0.57  (assume-push @p855 @t40)
% 0.38/0.57  (assume-push @p856 @t49)
% 0.38/0.57  (assume-push @p857 @t53)
% 0.38/0.57  (assume-push @p858 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p523 :rule false_intro :premises (@p856))
% 0.38/0.57  (step @p524 :rule symm :premises (@p523))
% 0.38/0.57  (step @p525 :rule false_intro :premises (@p857))
% 0.38/0.57  (step @p526 :rule trans :premises (@p525 @p524))
% 0.38/0.57  (step @p527 :rule true_intro :premises (@p854))
% 0.38/0.57  (step @p528 :rule symm :premises (@p527))
% 0.38/0.57  (step @p529 :rule true_intro :premises (@p855))
% 0.38/0.57  (step @p530 :rule trans :premises (@p529 @p528))
% 0.38/0.57  (step @p531 :rule false_intro :premises (@p852))
% 0.38/0.57  (step @p532 :rule symm :premises (@p531))
% 0.38/0.57  (step @p533 :rule false_intro :premises (@p853))
% 0.38/0.57  (step @p534 :rule trans :premises (@p533 @p532))
% 0.38/0.57  (step @p535 :rule cong :premises (@p534 @p530 @p526) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p536 :rule trans :premises (@p236 @p535 @p221))
% 0.38/0.57  (step @p537 false :rule eq_resolve :premises (@p536 @p220))
% 0.38/0.57  (step-pop @p859 :rule scope :premises (@p537))
% 0.38/0.57  (step-pop @p860 :rule scope :premises (@p859))
% 0.38/0.57  (step-pop @p861 :rule scope :premises (@p860))
% 0.38/0.57  (step-pop @p862 :rule scope :premises (@p861))
% 0.38/0.57  (step-pop @p863 :rule scope :premises (@p862))
% 0.38/0.57  (step-pop @p864 :rule scope :premises (@p863))
% 0.38/0.57  (step-pop @p865 :rule scope :premises (@p864))
% 0.38/0.57  (step-pop @p866 :rule scope :premises (@p865))
% 0.38/0.57  (step @p538 :rule process_scope :premises (@p866) :args (false))
% 0.38/0.57  (assume-push @p867 @t20)
% 0.38/0.57  (assume-push @p868 @t54)
% 0.38/0.57  (assume-push @p869 @t49)
% 0.38/0.57  (assume-push @p870 @t47)
% 0.38/0.57  (assume-push @p871 @t40)
% 0.38/0.57  (assume-push @p872 @t46)
% 0.38/0.57  (assume-push @p873 @t53)
% 0.38/0.57  (assume-push @p874 @t51)
% 0.38/0.57  (step @p555 :rule and_intro :premises (@p39 @p870 @p874 @p867 @p871 @p869 @p873 @p97))
% 0.38/0.57  (step-pop @p875 :rule scope :premises (@p555))
% 0.38/0.57  (step-pop @p876 :rule scope :premises (@p875))
% 0.38/0.57  (step-pop @p877 :rule scope :premises (@p876))
% 0.38/0.57  (step-pop @p878 :rule scope :premises (@p877))
% 0.38/0.57  (step-pop @p879 :rule scope :premises (@p878))
% 0.38/0.57  (step-pop @p880 :rule scope :premises (@p879))
% 0.38/0.57  (step-pop @p881 :rule scope :premises (@p880))
% 0.38/0.57  (step-pop @p882 :rule scope :premises (@p881))
% 0.38/0.57  (step @p556 :rule process_scope :premises (@p882) :args (@t69))
% 0.38/0.57  (step @p565 :rule implies_elim :premises (@p556))
% 0.38/0.57  (step @p566 :rule resolution :premises (@p565 @p538) :args (true @t69))
% 0.38/0.57  (step @p567 :rule not_and :premises (@p566))
% 0.38/0.57  (step @p568 :rule eq_resolve :premises (@p567 @p514))
% 0.38/0.57  (step @p569 :rule reordering :premises (@p568) :args ((or @t19 @t22 @t23 @t48 @t38 @t42 @t50 @t52)))
% 0.38/0.57  (step @p570 :rule chain_m_resolution :premises (@p569 @p454 @p450 @p97 @p39 @p273 @p272 @p513 @p178 @p177) :args (@t48 (@list true true false true true true true false false) (@list @t42 @t22 @t46 @t23 @t38 @t37 @t19 @t40 @t39)))
% 0.38/0.57  (step @p571 :rule chain_m_resolution :premises (@p333 @p570) :args ((not @t39) @t65 (@list @t20)))
% 0.38/0.57  (step @p572 :rule chain_m_resolution :premises (@p334 @p571) :args (@t52 @t65 (@list @t39)))
% 0.38/0.57  (step @p573 :rule nary_cong :premises (@p210 @p207 @p336 @p456 @p206 @p203 @p335 @p455) :args ((or @t49 @t55 @t62 @t67 @t53 @t50 @t61 @t66)))
% 0.38/0.57  (assume-push @p883 @t54)
% 0.38/0.57  (assume-push @p884 @t47)
% 0.38/0.57  (assume-push @p885 @t51)
% 0.38/0.57  (assume-push @p886 @t48)
% 0.38/0.57  (assume-push @p887 @t52)
% 0.38/0.57  (assume-push @p888 @t19)
% 0.38/0.57  (assume-push @p889 @t38)
% 0.38/0.57  (assume-push @p890 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p582 :rule true_intro :premises (@p888))
% 0.38/0.57  (step @p583 :rule symm :premises (@p582))
% 0.38/0.57  (step @p584 :rule true_intro :premises (@p889))
% 0.38/0.57  (step @p585 :rule trans :premises (@p584 @p583))
% 0.38/0.57  (step @p586 :rule false_intro :premises (@p886))
% 0.38/0.57  (step @p587 :rule symm :premises (@p586))
% 0.38/0.57  (step @p588 :rule false_intro :premises (@p887))
% 0.38/0.57  (step @p589 :rule trans :premises (@p588 @p587))
% 0.38/0.57  (step @p590 :rule false_intro :premises (@p884))
% 0.38/0.57  (step @p591 :rule symm :premises (@p590))
% 0.38/0.57  (step @p592 :rule false_intro :premises (@p885))
% 0.38/0.57  (step @p593 :rule trans :premises (@p592 @p591))
% 0.38/0.57  (step @p594 :rule cong :premises (@p593 @p589 @p585) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p595 :rule trans :premises (@p236 @p594 @p221))
% 0.38/0.57  (step @p596 false :rule eq_resolve :premises (@p595 @p220))
% 0.38/0.57  (step-pop @p891 :rule scope :premises (@p596))
% 0.38/0.57  (step-pop @p892 :rule scope :premises (@p891))
% 0.38/0.57  (step-pop @p893 :rule scope :premises (@p892))
% 0.38/0.57  (step-pop @p894 :rule scope :premises (@p893))
% 0.38/0.57  (step-pop @p895 :rule scope :premises (@p894))
% 0.38/0.57  (step-pop @p896 :rule scope :premises (@p895))
% 0.38/0.57  (step-pop @p897 :rule scope :premises (@p896))
% 0.38/0.57  (step-pop @p898 :rule scope :premises (@p897))
% 0.38/0.57  (step @p597 :rule process_scope :premises (@p898) :args (false))
% 0.38/0.57  (assume-push @p899 @t19)
% 0.38/0.57  (assume-push @p900 @t54)
% 0.38/0.57  (assume-push @p901 @t48)
% 0.38/0.57  (assume-push @p902 @t47)
% 0.38/0.57  (assume-push @p903 @t38)
% 0.38/0.57  (assume-push @p904 @t46)
% 0.38/0.57  (assume-push @p905 @t52)
% 0.38/0.57  (assume-push @p906 @t51)
% 0.38/0.57  (step @p614 :rule and_intro :premises (@p39 @p902 @p906 @p901 @p905 @p899 @p903 @p97))
% 0.38/0.57  (step-pop @p907 :rule scope :premises (@p614))
% 0.38/0.57  (step-pop @p908 :rule scope :premises (@p907))
% 0.38/0.57  (step-pop @p909 :rule scope :premises (@p908))
% 0.38/0.57  (step-pop @p910 :rule scope :premises (@p909))
% 0.38/0.57  (step-pop @p911 :rule scope :premises (@p910))
% 0.38/0.57  (step-pop @p912 :rule scope :premises (@p911))
% 0.38/0.57  (step-pop @p913 :rule scope :premises (@p912))
% 0.38/0.57  (step-pop @p914 :rule scope :premises (@p913))
% 0.38/0.57  (step @p615 :rule process_scope :premises (@p914) :args (@t70))
% 0.38/0.57  (step @p624 :rule implies_elim :premises (@p615))
% 0.38/0.57  (step @p625 :rule resolution :premises (@p624 @p597) :args (true @t70))
% 0.38/0.57  (step @p626 :rule not_and :premises (@p625))
% 0.38/0.57  (step @p627 :rule eq_resolve :premises (@p626 @p573))
% 0.38/0.57  (step @p628 :rule reordering :premises (@p627) :args ((or @t20 @t22 @t23 @t49 @t40 @t42 @t50 @t53)))
% 0.38/0.57  (step @p629 :rule chain_m_resolution :premises (@p628 @p572 @p570 @p454 @p450 @p97 @p39 @p202 @p201) :args (@t49 (@list true true true true false true false false) (@list @t40 @t20 @t42 @t22 @t46 @t23 @t38 @t37)))
% 0.38/0.57  (step @p630 :rule chain_m_resolution :premises (@p272 @p629) :args ((not @t37) @t65 (@list @t19)))
% 0.38/0.57  (step @p631 :rule chain_m_resolution :premises (@p273 @p630) :args (@t53 @t65 (@list @t37)))
% 0.38/0.57  (step @p632 :rule nary_cong :premises (@p207 @p275 @p336 @p456 @p203 @p274 @p335 @p455) :args ((or @t55 @t59 @t62 @t67 @t50 @t58 @t61 @t66)))
% 0.38/0.57  (assume-push @p915 @t54)
% 0.38/0.57  (assume-push @p916 @t47)
% 0.38/0.57  (assume-push @p917 @t51)
% 0.38/0.57  (assume-push @p918 @t48)
% 0.38/0.57  (assume-push @p919 @t52)
% 0.38/0.57  (assume-push @p920 @t49)
% 0.38/0.57  (assume-push @p921 @t53)
% 0.38/0.57  (assume-push @p922 @t46)
% 0.38/0.57  (step @p220 :rule evaluate :args (@t56))
% 0.38/0.57  (step @p221 :rule false_intro :premises (@p39))
% 0.38/0.57  (step @p641 :rule false_intro :premises (@p920))
% 0.38/0.57  (step @p642 :rule symm :premises (@p641))
% 0.38/0.57  (step @p643 :rule false_intro :premises (@p921))
% 0.38/0.57  (step @p644 :rule trans :premises (@p643 @p642))
% 0.38/0.57  (step @p645 :rule false_intro :premises (@p918))
% 0.38/0.57  (step @p646 :rule symm :premises (@p645))
% 0.38/0.57  (step @p647 :rule false_intro :premises (@p919))
% 0.38/0.57  (step @p648 :rule trans :premises (@p647 @p646))
% 0.38/0.57  (step @p649 :rule false_intro :premises (@p916))
% 0.38/0.57  (step @p650 :rule symm :premises (@p649))
% 0.38/0.57  (step @p651 :rule false_intro :premises (@p917))
% 0.38/0.57  (step @p652 :rule trans :premises (@p651 @p650))
% 0.38/0.57  (step @p653 :rule cong :premises (@p652 @p648 @p644) :args (@t46))
% 0.38/0.57  (step @p235 :rule true_intro :premises (@p97))
% 0.38/0.57  (step @p236 :rule symm :premises (@p235))
% 0.38/0.57  (step @p654 :rule trans :premises (@p236 @p653 @p221))
% 0.38/0.57  (step @p655 false :rule eq_resolve :premises (@p654 @p220))
% 0.38/0.57  (step-pop @p923 :rule scope :premises (@p655))
% 0.38/0.57  (step-pop @p924 :rule scope :premises (@p923))
% 0.38/0.57  (step-pop @p925 :rule scope :premises (@p924))
% 0.38/0.57  (step-pop @p926 :rule scope :premises (@p925))
% 0.38/0.57  (step-pop @p927 :rule scope :premises (@p926))
% 0.38/0.57  (step-pop @p928 :rule scope :premises (@p927))
% 0.38/0.57  (step-pop @p929 :rule scope :premises (@p928))
% 0.38/0.57  (step-pop @p930 :rule scope :premises (@p929))
% 0.38/0.57  (step @p656 :rule process_scope :premises (@p930) :args (false))
% 0.38/0.57  (assume-push @p931 @t54)
% 0.38/0.57  (assume-push @p932 @t49)
% 0.38/0.57  (assume-push @p933 @t48)
% 0.38/0.57  (assume-push @p934 @t47)
% 0.38/0.57  (assume-push @p935 @t46)
% 0.38/0.57  (assume-push @p936 @t53)
% 0.38/0.57  (assume-push @p937 @t52)
% 0.38/0.57  (assume-push @p938 @t51)
% 0.38/0.57  (step @p673 :rule and_intro :premises (@p39 @p934 @p938 @p933 @p937 @p932 @p936 @p97))
% 0.38/0.57  (step-pop @p939 :rule scope :premises (@p673))
% 0.38/0.57  (step-pop @p940 :rule scope :premises (@p939))
% 0.38/0.57  (step-pop @p941 :rule scope :premises (@p940))
% 0.38/0.57  (step-pop @p942 :rule scope :premises (@p941))
% 0.38/0.57  (step-pop @p943 :rule scope :premises (@p942))
% 0.38/0.57  (step-pop @p944 :rule scope :premises (@p943))
% 0.38/0.57  (step-pop @p945 :rule scope :premises (@p944))
% 0.38/0.57  (step-pop @p946 :rule scope :premises (@p945))
% 0.38/0.57  (step @p674 :rule process_scope :premises (@p946) :args (@t71))
% 0.38/0.57  (step @p683 :rule implies_elim :premises (@p674))
% 0.38/0.57  (step @p684 :rule resolution :premises (@p683 @p656) :args (true @t71))
% 0.38/0.57  (step @p685 :rule not_and :premises (@p684))
% 0.38/0.57  (step @p686 :rule eq_resolve :premises (@p685 @p632))
% 0.38/0.57  (step @p687 :rule reordering :premises (@p686) :args ((or @t19 @t20 @t22 @t23 @t38 @t40 @t42 @t50)))
% 0.38/0.57  (step @p688 false :rule chain_m_resolution :premises (@p687 @p631 @p629 @p572 @p570 @p454 @p450 @p97 @p39) :args (false (@list true true true true true true false true) (@list @t38 @t19 @t40 @t20 @t42 @t22 @t46 @t23)))
% 0.38/0.57  )
% 0.38/0.57  % SZS output end Proof
% 0.38/0.57  % cvc5 exiting
%------------------------------------------------------------------------------