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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV387^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:55:53 AM UTC 2026

% Result   : Theorem 0.41s 0.57s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV387^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n003.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 18:31:14 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TH0
% 0.41/0.57  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.41/0.57  % SZS status Theorem
% 0.41/0.57  % SZS output start Proof
% 0.41/0.57  (
% 0.41/0.57  (declare-sort tptp.a 0)
% 0.41/0.57  (define @t1 () (@var "Xz" tptp.a))
% 0.41/0.57  (define @t2 () (@var "T" (-> tptp.a Bool)))
% 0.41/0.57  (define @t3 () (_ @t2 @t1))
% 0.41/0.57  (define @t4 () (@var "S" (-> tptp.a Bool)))
% 0.41/0.57  (define @t5 () (_ @t4 @t1))
% 0.41/0.57  (define @t6 () (and @t5 @t3))
% 0.41/0.57  (define @t7 () (not @t6))
% 0.41/0.57  (define @t8 () (@var "U" (-> tptp.a Bool)))
% 0.41/0.57  (define @t9 () (_ @t8 @t1))
% 0.41/0.57  (define @t10 () (and @t5 @t9 @t7))
% 0.41/0.57  (define @t11 () (and @t5 @t9))
% 0.41/0.57  (define @t12 () (not @t11))
% 0.41/0.57  (define @t13 () (and @t5 @t3 @t12))
% 0.41/0.57  (define @t14 () (or @t13 @t10))
% 0.41/0.57  (define @t15 () (@list @t1))
% 0.41/0.57  (define @t16 () (lambda @t15 @t14))
% 0.41/0.57  (define @t17 () (@var "Xx" tptp.a))
% 0.41/0.57  (define @t18 () (_ @t2 @t17))
% 0.41/0.57  (define @t19 () (not @t18))
% 0.41/0.57  (define @t20 () (_ @t8 @t17))
% 0.41/0.57  (define @t21 () (and @t20 @t19))
% 0.41/0.57  (define @t22 () (not @t20))
% 0.41/0.57  (define @t23 () (and @t18 @t22))
% 0.41/0.57  (define @t24 () (or @t23 @t21))
% 0.41/0.57  (define @t25 () (_ @t4 @t17))
% 0.41/0.57  (define @t26 () (and @t25 @t24))
% 0.41/0.57  (define @t27 () (@list @t17))
% 0.41/0.57  (define @t28 () (lambda @t27 @t26))
% 0.41/0.57  (define @t29 () (= @t28 @t16))
% 0.41/0.57  (define @t30 () (@list @t4 @t2 @t8))
% 0.41/0.57  (define @t31 () (forall @t30 @t29))
% 0.41/0.57  (define @t32 () (not @t31))
% 0.41/0.57  (define @t33 () (@const 0 tptp.a))
% 0.41/0.57  (define @t34 () (_ @t2 @t1))
% 0.41/0.57  (define @t35 () (_ @t4 @t1))
% 0.41/0.57  (define @t36 () (_ @t8 @t1))
% 0.41/0.57  (define @t37 () (_ @t2 @t17))
% 0.41/0.57  (define @t38 () (_ @t8 @t17))
% 0.41/0.57  (define @t39 () (_ @t4 @t17))
% 0.41/0.57  (define @t40 () (forall @t30 (= (lambda @t27 (and @t39 (or (and @t37 (not @t38)) (and @t38 (not @t37))))) (lambda @t15 (or (and @t35 @t34 (not (and @t35 @t36))) (and @t35 @t36 (not (and @t35 @t34))))))))
% 0.41/0.57  (define @t41 () (@quantifiers_skolemize @t40 1))
% 0.41/0.57  (define @t42 () (_ @t41 @t33))
% 0.41/0.57  (define @t43 () (not @t42))
% 0.41/0.57  (define @t44 () (@quantifiers_skolemize @t40 2))
% 0.41/0.57  (define @t45 () (_ @t44 @t33))
% 0.41/0.57  (define @t46 () (and @t45 @t43))
% 0.41/0.57  (define @t47 () (not @t46))
% 0.41/0.57  (define @t48 () (@quantifiers_skolemize @t40 0))
% 0.41/0.57  (define @t49 () (_ @t48 @t33))
% 0.41/0.57  (define @t50 () (and @t49 @t42))
% 0.41/0.57  (define @t51 () (not @t49))
% 0.41/0.57  (define @t52 () (not @t50))
% 0.41/0.57  (define @t53 () (and @t49 @t45 @t52))
% 0.41/0.57  (define @t54 () (not @t53))
% 0.41/0.57  (define @t55 () (not @t45))
% 0.41/0.57  (define @t56 () (and @t42 @t55))
% 0.41/0.57  (define @t57 () (and @t49 @t45))
% 0.41/0.57  (define @t58 () (not @t57))
% 0.41/0.57  (define @t59 () (or @t56 @t46))
% 0.41/0.57  (define @t60 () (and @t49 @t42 @t58))
% 0.41/0.57  (define @t61 () (and @t49 @t59))
% 0.41/0.57  (define @t62 () (or @t60 @t53))
% 0.41/0.57  (define @t63 () (_ @t41 @t17))
% 0.41/0.57  (define @t64 () (_ @t44 @t17))
% 0.41/0.57  (define @t65 () (lambda @t27 (and (_ @t48 @t17) (or (and @t63 (not @t64)) (and @t64 (not @t63))))))
% 0.41/0.57  (define @t66 () (@purify @t65))
% 0.41/0.57  (define @t67 () (_ @t41 @t1))
% 0.41/0.57  (define @t68 () (_ @t48 @t1))
% 0.41/0.57  (define @t69 () (_ @t44 @t1))
% 0.41/0.57  (define @t70 () (lambda @t15 (or (and @t68 @t67 (not (and @t68 @t69))) (and @t68 @t69 (not (and @t68 @t67))))))
% 0.41/0.57  (define @t71 () (@purify @t70))
% 0.41/0.57  (define @t72 () (= @t71 @t66))
% 0.41/0.57  (define @t73 () (not @t72))
% 0.41/0.57  (define @t74 () (not @t40))
% 0.41/0.57  (define @t75 () (= @t65 @t70))
% 0.41/0.57  (define @t76 () (not @t75))
% 0.41/0.57  (define @t77 () (@list true))
% 0.41/0.57  (define @t78 () (= (_ @t65 @t33) @t61))
% 0.41/0.57  (define @t79 () (_ @t66 @t33))
% 0.41/0.57  (define @t80 () (= (_ @t70 @t33) @t62))
% 0.41/0.57  (define @t81 () (_ @t71 @t33))
% 0.41/0.57  (define @t82 () (= @t81 @t79))
% 0.41/0.57  (define @t83 () (not @t82))
% 0.41/0.57  (define @t84 () (or @t72 @t83))
% 0.41/0.57  (define @t85 () (= @t61 @t62))
% 0.41/0.57  (define @t86 () (not @t56))
% 0.41/0.57  (define @t87 () (not @t60))
% 0.41/0.57  (define @t88 () (not @t61))
% 0.41/0.57  (define @t89 () (@list @t49))
% 0.41/0.57  (assume @p1 @t32)
% 0.41/0.57  (assume @p2 true)
% 0.41/0.57  (step @p3 :rule cnf_and_pos :args (@t46 1))
% 0.41/0.57  (step @p4 :rule reordering :premises (@p3) :args ((or @t43 @t47)))
% 0.41/0.57  (step @p5 :rule cnf_and_neg :args (@t50))
% 0.41/0.57  (step @p6 :rule reordering :premises (@p5) :args ((or @t43 @t50 @t51)))
% 0.41/0.57  (step @p7 :rule cnf_and_pos :args (@t53 2))
% 0.41/0.57  (step @p8 :rule reordering :premises (@p7) :args ((or @t52 @t54)))
% 0.41/0.57  (step @p9 :rule bool-double-not-elim :args (@t45))
% 0.41/0.57  (step @p10 :rule refl :args (@t43))
% 0.41/0.57  (step @p11 :rule refl :args (@t56))
% 0.41/0.57  (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args ((or @t56 @t43 (not @t55))))
% 0.41/0.57  (step @p13 :rule cnf_and_neg :args (@t56))
% 0.41/0.57  (step @p14 :rule eq_resolve :premises (@p13 @p12))
% 0.41/0.57  (step @p15 :rule reordering :premises (@p14) :args ((or @t45 @t56 @t43)))
% 0.41/0.57  (step @p16 :rule cnf_and_pos :args (@t57 1))
% 0.41/0.57  (step @p17 :rule reordering :premises (@p16) :args ((or @t45 @t58)))
% 0.41/0.57  (step @p18 :rule cnf_or_neg :args (@t59 0))
% 0.41/0.57  (step @p19 :rule bool-double-not-elim :args (@t57))
% 0.41/0.57  (step @p20 :rule refl :args (@t51))
% 0.41/0.57  (step @p21 :rule refl :args (@t60))
% 0.41/0.57  (step @p22 :rule nary_cong :premises (@p21 @p20 @p10 @p19) :args ((or @t60 @t51 @t43 (not @t58))))
% 0.41/0.57  (step @p23 :rule cnf_and_neg :args (@t60))
% 0.41/0.57  (step @p24 :rule eq_resolve :premises (@p23 @p22))
% 0.41/0.57  (step @p25 :rule reordering :premises (@p24) :args ((or @t43 @t57 @t60 @t51)))
% 0.41/0.57  (step @p26 :rule cnf_and_neg :args (@t61))
% 0.41/0.57  (step @p27 :rule cnf_or_neg :args (@t62 0))
% 0.41/0.57  (step @p28 :rule refl :args (@t34))
% 0.41/0.57  (step @p29 :rule refl :args (@t3))
% 0.41/0.57  (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t34)))
% 0.41/0.57  (step @p31 :rule symm :premises (@p30))
% 0.41/0.57  (step @p32 :rule eq_resolve :premises (@p29 @p31))
% 0.41/0.57  (step @p33 :rule refl :args (@t35))
% 0.41/0.57  (step @p34 :rule refl :args (@t5))
% 0.41/0.57  (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t5 @t35)))
% 0.41/0.57  (step @p36 :rule symm :premises (@p35))
% 0.41/0.57  (step @p37 :rule eq_resolve :premises (@p34 @p36))
% 0.41/0.57  (step @p38 :rule nary_cong :premises (@p37 @p32) :args (@t6))
% 0.41/0.57  (step @p39 :rule cong :premises (@p38) :args (@t7))
% 0.41/0.57  (step @p40 :rule refl :args (@t36))
% 0.41/0.57  (step @p41 :rule refl :args (@t9))
% 0.41/0.57  (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t9 @t36)))
% 0.41/0.57  (step @p43 :rule symm :premises (@p42))
% 0.41/0.57  (step @p44 :rule eq_resolve :premises (@p41 @p43))
% 0.41/0.57  (step @p45 :rule nary_cong :premises (@p37 @p44 @p39) :args (@t10))
% 0.41/0.57  (step @p46 :rule nary_cong :premises (@p37 @p44) :args (@t11))
% 0.41/0.57  (step @p47 :rule cong :premises (@p46) :args (@t12))
% 0.41/0.57  (step @p48 :rule nary_cong :premises (@p37 @p32 @p47) :args (@t13))
% 0.41/0.57  (step @p49 :rule nary_cong :premises (@p48 @p45) :args (@t14))
% 0.41/0.57  (step @p50 :rule cong :premises (@p49) :args (@t16))
% 0.41/0.57  (step @p51 :rule refl :args (@t37))
% 0.41/0.57  (step @p52 :rule refl :args (@t18))
% 0.41/0.57  (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t18 @t37)))
% 0.41/0.57  (step @p54 :rule symm :premises (@p53))
% 0.41/0.57  (step @p55 :rule eq_resolve :premises (@p52 @p54))
% 0.41/0.57  (step @p56 :rule cong :premises (@p55) :args (@t19))
% 0.41/0.57  (step @p57 :rule refl :args (@t38))
% 0.41/0.57  (step @p58 :rule refl :args (@t20))
% 0.41/0.57  (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t20 @t38)))
% 0.41/0.57  (step @p60 :rule symm :premises (@p59))
% 0.41/0.57  (step @p61 :rule eq_resolve :premises (@p58 @p60))
% 0.41/0.57  (step @p62 :rule nary_cong :premises (@p61 @p56) :args (@t21))
% 0.41/0.57  (step @p63 :rule cong :premises (@p61) :args (@t22))
% 0.41/0.57  (step @p64 :rule nary_cong :premises (@p55 @p63) :args (@t23))
% 0.41/0.57  (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t24))
% 0.41/0.57  (step @p66 :rule refl :args (@t39))
% 0.41/0.57  (step @p67 :rule refl :args (@t25))
% 0.41/0.57  (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t25 @t39)))
% 0.41/0.57  (step @p69 :rule symm :premises (@p68))
% 0.41/0.57  (step @p70 :rule eq_resolve :premises (@p67 @p69))
% 0.41/0.57  (step @p71 :rule nary_cong :premises (@p70 @p65) :args (@t26))
% 0.41/0.57  (step @p72 :rule cong :premises (@p71) :args (@t28))
% 0.41/0.57  (step @p73 :rule cong :premises (@p72 @p50) :args (@t29))
% 0.41/0.57  (step @p74 :rule cong :premises (@p73) :args (@t31))
% 0.41/0.57  (step @p75 :rule cong :premises (@p74) :args (@t32))
% 0.41/0.57  (step @p76 :rule eq_resolve :premises (@p1 @p75))
% 0.41/0.57  (step @p77 :rule refl :args (@t73))
% 0.41/0.57  (step @p78 :rule bool-double-not-elim :args (@t40))
% 0.41/0.57  (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t74) @t73)))
% 0.41/0.57  (step @p80 :rule eq-symm :args (@t66 @t71))
% 0.41/0.57  (step @p81 :rule eq-refl :args (@t70))
% 0.41/0.57  (step @p82 :rule skolem_intro :args (@t71))
% 0.41/0.57  (step @p83 :rule refl :args (@t70))
% 0.41/0.57  (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t70 @t71)))
% 0.41/0.57  (step @p85 :rule trans :premises (@p84 @p81))
% 0.41/0.57  (step @p86 :rule true_elim :premises (@p85))
% 0.41/0.57  (step @p87 :rule eq-refl :args (@t65))
% 0.41/0.57  (step @p88 :rule skolem_intro :args (@t66))
% 0.41/0.57  (step @p89 :rule refl :args (@t65))
% 0.41/0.57  (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t65 @t66)))
% 0.41/0.57  (step @p91 :rule trans :premises (@p90 @p87))
% 0.41/0.57  (step @p92 :rule true_elim :premises (@p91))
% 0.41/0.57  (step @p93 :rule cong :premises (@p92 @p86) :args (@t75))
% 0.41/0.57  (step @p94 :rule trans :premises (@p93 @p80))
% 0.41/0.57  (step @p95 :rule cong :premises (@p94) :args (@t76))
% 0.41/0.57  (step @p96 :rule refl :args (@t74))
% 0.41/0.57  (step @p97 :rule cong :premises (@p96 @p95) :args ((=> @t74 @t76)))
% 0.41/0.57  (assume-push @p189 @t74)
% 0.41/0.57  (step @p99 :rule skolemize :premises (@p76))
% 0.41/0.57  (step-pop @p190 :rule scope :premises (@p99))
% 0.41/0.57  (step @p100 :rule process_scope :premises (@p190) :args (@t76))
% 0.41/0.57  (step @p102 :rule eq_resolve :premises (@p100 @p97))
% 0.41/0.57  (step @p103 :rule implies_elim :premises (@p102))
% 0.41/0.57  (step @p104 :rule eq_resolve :premises (@p103 @p79))
% 0.41/0.57  (step @p105 :rule chain_m_resolution :premises (@p104 @p76) :args (@t73 @t77 (@list @t40)))
% 0.41/0.57  (step @p106 :rule eq-symm :args (@t62 @t61))
% 0.41/0.57  (step @p107 :rule eq-refl :args (@t61))
% 0.41/0.57  (step @p108 :rule refl :args (@t61))
% 0.41/0.57  (step @p109 :rule beta-reduce :args (@t78))
% 0.41/0.57  (step @p110 :rule cong :premises (@p109 @p108) :args (@t78))
% 0.41/0.57  (step @p111 :rule trans :premises (@p110 @p107))
% 0.41/0.57  (step @p112 :rule refl :args (@t33))
% 0.41/0.57  (step @p113 :rule ho_cong :premises (@p88 @p112))
% 0.41/0.57  (step @p114 :rule cong :premises (@p113 @p108) :args ((= @t79 @t61)))
% 0.41/0.57  (step @p115 :rule trans :premises (@p114 @p111))
% 0.41/0.57  (step @p116 :rule true_elim :premises (@p115))
% 0.41/0.57  (step @p117 :rule eq-refl :args (@t62))
% 0.41/0.57  (step @p118 :rule refl :args (@t62))
% 0.41/0.57  (step @p119 :rule beta-reduce :args (@t80))
% 0.41/0.57  (step @p120 :rule cong :premises (@p119 @p118) :args (@t80))
% 0.41/0.57  (step @p121 :rule trans :premises (@p120 @p117))
% 0.41/0.57  (step @p122 :rule ho_cong :premises (@p82 @p112))
% 0.41/0.57  (step @p123 :rule cong :premises (@p122 @p118) :args ((= @t81 @t62)))
% 0.41/0.57  (step @p124 :rule trans :premises (@p123 @p121))
% 0.41/0.57  (step @p125 :rule true_elim :premises (@p124))
% 0.41/0.57  (step @p126 :rule cong :premises (@p125 @p116) :args (@t82))
% 0.41/0.57  (step @p127 :rule trans :premises (@p126 @p106))
% 0.41/0.57  (step @p128 :rule cong :premises (@p127) :args (@t83))
% 0.41/0.57  (step @p129 :rule refl :args (@t72))
% 0.41/0.57  (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t84))
% 0.41/0.57  ; WARNING: add trust step for TRUST
% 0.41/0.57  ; trust TRUST THEORY_LEMMA
% 0.41/0.57  (step @p131 :rule trust :premises () :args (@t84))
% 0.41/0.57  (step @p132 :rule eq_resolve :premises (@p131 @p130))
% 0.41/0.57  (step @p133 :rule chain_m_resolution :premises (@p132 @p105) :args ((not @t85) @t77 (@list @t72)))
% 0.41/0.57  (step @p134 :rule cnf_equiv_neg2 :args (@t85))
% 0.41/0.57  (step @p135 :rule chain_m_resolution :premises (@p134 @p133 @p27 @p26 @p25 @p18 @p17 @p15) :args ((or @t45 @t43 @t51) (@list true false false false false true false) (@list @t85 @t62 @t61 @t60 @t59 @t57 @t56)))
% 0.41/0.57  (step @p136 :rule cnf_and_pos :args (@t56 1))
% 0.41/0.57  (step @p137 :rule reordering :premises (@p136) :args ((or @t55 @t86)))
% 0.41/0.57  (step @p138 :rule cnf_and_neg :args (@t57))
% 0.41/0.57  (step @p139 :rule reordering :premises (@p138) :args ((or @t55 @t57 @t51)))
% 0.41/0.57  (step @p140 :rule cnf_or_pos :args (@t59))
% 0.41/0.57  (step @p141 :rule reordering :premises (@p140) :args ((or @t56 @t46 (not @t59))))
% 0.41/0.57  (step @p142 :rule cnf_and_pos :args (@t60 2))
% 0.41/0.57  (step @p143 :rule reordering :premises (@p142) :args ((or @t58 @t87)))
% 0.41/0.57  (step @p144 :rule cnf_and_pos :args (@t61 1))
% 0.41/0.57  (step @p145 :rule reordering :premises (@p144) :args ((or @t59 @t88)))
% 0.41/0.57  (step @p146 :rule cnf_or_pos :args (@t62))
% 0.41/0.57  (step @p147 :rule reordering :premises (@p146) :args ((or @t60 @t53 (not @t62))))
% 0.41/0.57  (step @p148 :rule cnf_equiv_neg1 :args (@t85))
% 0.41/0.57  (step @p149 :rule reordering :premises (@p148) :args ((or @t61 @t62 @t85)))
% 0.41/0.57  (step @p150 :rule chain_m_resolution :premises (@p149 @p133 @p147 @p145 @p143 @p141 @p139 @p137 @p135 @p8 @p6 @p4) :args ((or @t43 @t51) (@list true true true true true false true false true false true) (@list @t85 @t62 @t61 @t60 @t59 @t57 @t56 @t45 @t53 @t50 @t46)))
% 0.41/0.57  (step @p151 :rule cnf_and_pos :args (@t56 0))
% 0.41/0.57  (step @p152 :rule reordering :premises (@p151) :args ((or @t42 @t86)))
% 0.41/0.57  (step @p153 :rule cnf_and_pos :args (@t60 1))
% 0.41/0.57  (step @p154 :rule reordering :premises (@p153) :args ((or @t42 @t87)))
% 0.41/0.57  (step @p155 :rule cnf_and_pos :args (@t50 1))
% 0.41/0.57  (step @p156 :rule reordering :premises (@p155) :args ((or @t42 @t52)))
% 0.41/0.57  (step @p157 :rule bool-double-not-elim :args (@t42))
% 0.41/0.57  (step @p158 :rule refl :args (@t55))
% 0.41/0.57  (step @p159 :rule refl :args (@t46))
% 0.41/0.57  (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or @t46 @t55 (not @t43))))
% 0.41/0.57  (step @p161 :rule cnf_and_neg :args (@t46))
% 0.41/0.57  (step @p162 :rule eq_resolve :premises (@p161 @p160))
% 0.41/0.57  (step @p163 :rule reordering :premises (@p162) :args ((or @t42 @t55 @t46)))
% 0.41/0.57  (step @p164 :rule bool-double-not-elim :args (@t50))
% 0.41/0.57  (step @p165 :rule refl :args (@t53))
% 0.41/0.57  (step @p166 :rule nary_cong :premises (@p165 @p20 @p158 @p164) :args ((or @t53 @t51 @t55 (not @t52))))
% 0.41/0.57  (step @p167 :rule cnf_and_neg :args (@t53))
% 0.41/0.57  (step @p168 :rule eq_resolve :premises (@p167 @p166))
% 0.41/0.57  (step @p169 :rule reordering :premises (@p168) :args ((or @t55 @t50 @t53 @t51)))
% 0.41/0.57  (step @p170 :rule cnf_or_neg :args (@t59 1))
% 0.41/0.57  (step @p171 :rule cnf_or_neg :args (@t62 1))
% 0.41/0.57  (step @p172 :rule chain_m_resolution :premises (@p134 @p133 @p26 @p171 @p170 @p169 @p163 @p156 @p150) :args ((or @t55 @t51) (@list true false false false false false true true) (@list @t85 @t61 @t62 @t59 @t53 @t46 @t50 @t42)))
% 0.41/0.57  (step @p173 :rule cnf_and_pos :args (@t46 0))
% 0.41/0.57  (step @p174 :rule reordering :premises (@p173) :args ((or @t45 @t47)))
% 0.41/0.57  (step @p175 :rule cnf_and_pos :args (@t53 1))
% 0.41/0.57  (step @p176 :rule reordering :premises (@p175) :args ((or @t45 @t54)))
% 0.41/0.57  (step @p177 :rule chain_m_resolution :premises (@p149 @p133 @p145 @p147 @p141 @p176 @p174 @p172 @p154 @p152 @p150) :args (@t51 (@list true true true true true true true true true true) (@list @t85 @t61 @t62 @t59 @t53 @t46 @t45 @t60 @t56 @t42)))
% 0.41/0.57  (step @p178 :rule cnf_and_pos :args (@t60 0))
% 0.41/0.57  (step @p179 :rule reordering :premises (@p178) :args ((or @t49 @t87)))
% 0.41/0.57  (step @p180 :rule chain_m_resolution :premises (@p179 @p177) :args (@t87 @t77 @t89))
% 0.41/0.57  (step @p181 :rule cnf_and_pos :args (@t53 0))
% 0.41/0.57  (step @p182 :rule reordering :premises (@p181) :args ((or @t49 @t54)))
% 0.41/0.57  (step @p183 :rule chain_m_resolution :premises (@p182 @p177) :args (@t54 @t77 @t89))
% 0.41/0.57  (step @p184 :rule cnf_and_pos :args (@t61 0))
% 0.41/0.57  (step @p185 :rule reordering :premises (@p184) :args ((or @t49 @t88)))
% 0.41/0.57  (step @p186 :rule chain_m_resolution :premises (@p185 @p177) :args (@t88 @t77 @t89))
% 0.41/0.57  (step @p187 :rule chain_m_resolution :premises (@p149 @p186 @p133) :args (@t62 (@list true true) (@list @t61 @t85)))
% 0.41/0.57  (step @p188 false :rule chain_m_resolution :premises (@p147 @p187 @p183 @p180) :args (false (@list false true true) (@list @t62 @t53 @t60)))
% 0.41/0.57  )
% 0.41/0.57  % SZS output end Proof
% 0.41/0.57  % cvc5 exiting
%------------------------------------------------------------------------------