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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL727^5 : TPTP v9.3.1. 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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:23:42 AM UTC 2026

% Result   : Theorem 0.52s 0.89s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL727^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep  4 19:41:54 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.13/0.43  %----Proving TH0
% 0.52/0.89  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.52/0.89  % SZS status Theorem
% 0.52/0.89  % SZS output start Proof
% 0.52/0.89  (
% 0.52/0.89  (declare-sort tptp.a 0)
% 0.52/0.89  (define @t1 () (@var "X" (-> tptp.a Bool)))
% 0.52/0.89  (define @t2 () (@var "Xf" (-> (-> tptp.a Bool) tptp.a)))
% 0.52/0.89  (define @t3 () (_ @t2 @t1))
% 0.52/0.89  (define @t4 () (_ @t1 @t3))
% 0.52/0.89  (define @t5 () (@var "Xs" (-> (-> tptp.a Bool) Bool)))
% 0.52/0.89  (define @t6 () (_ @t5 @t1))
% 0.52/0.89  (define @t7 () (@list @t1))
% 0.52/0.89  (define @t8 () (forall @t7 (=> @t6 @t4)))
% 0.52/0.89  (define @t9 () (@list @t2))
% 0.52/0.89  (define @t10 () (exists @t9 @t8))
% 0.52/0.89  (define @t11 () (@var "Xt" tptp.a))
% 0.52/0.89  (define @t12 () (_ @t1 @t11))
% 0.52/0.89  (define @t13 () (@list @t11))
% 0.52/0.89  (define @t14 () (exists @t13 @t12))
% 0.52/0.89  (define @t15 () (=> @t6 @t14))
% 0.52/0.89  (define @t16 () (forall @t7 @t15))
% 0.52/0.89  (define @t17 () (=> @t16 @t10))
% 0.52/0.89  (define @t18 () (@list @t5))
% 0.52/0.89  (define @t19 () (forall @t18 @t17))
% 0.52/0.89  (define @t20 () (@var "Xx" (-> tptp.a Bool)))
% 0.52/0.89  (define @t21 () (@var "Xg" (-> (-> tptp.a Bool) tptp.a)))
% 0.52/0.89  (define @t22 () (_ @t21 @t20))
% 0.52/0.89  (define @t23 () (@var "Xr" (-> (-> tptp.a Bool) tptp.a Bool)))
% 0.52/0.89  (define @t24 () (_ @t23 @t20))
% 0.52/0.89  (define @t25 () (_ @t24 @t22))
% 0.52/0.89  (define @t26 () (@var "Xy" tptp.a))
% 0.52/0.89  (define @t27 () (_ @t24 @t26))
% 0.52/0.89  (define @t28 () (@list @t26))
% 0.52/0.89  (define @t29 () (exists @t28 @t27))
% 0.52/0.89  (define @t30 () (=> @t29 @t25))
% 0.52/0.89  (define @t31 () (@list @t20))
% 0.52/0.89  (define @t32 () (forall @t31 @t30))
% 0.52/0.89  (define @t33 () (@list @t21))
% 0.52/0.89  (define @t34 () (exists @t33 @t32))
% 0.52/0.89  (define @t35 () (forall (@list @t23) @t34))
% 0.52/0.89  (define @t36 () (=> @t35 @t19))
% 0.52/0.89  (define @t37 () (not @t36))
% 0.52/0.89  (define @t38 () (_ @t1 @t11))
% 0.52/0.89  (define @t39 () (not (forall @t13 (not @t38))))
% 0.52/0.89  (define @t40 () (_ @t5 @t1))
% 0.52/0.89  (define @t41 () (not @t40))
% 0.52/0.89  (define @t42 () (forall @t7 (or @t41 @t39)))
% 0.52/0.89  (define @t43 () (_ @t2 @t1))
% 0.52/0.89  (define @t44 () (_ @t1 @t43))
% 0.52/0.89  (define @t45 () (forall @t7 (or @t41 @t44)))
% 0.52/0.89  (define @t46 () (not (forall @t9 (not @t45))))
% 0.52/0.89  (define @t47 () (not @t6))
% 0.52/0.89  (define @t48 () (or @t47 @t4))
% 0.52/0.89  (define @t49 () (or @t47 @t39))
% 0.52/0.89  (define @t50 () (not @t12))
% 0.52/0.89  (define @t51 () (forall @t13 @t50))
% 0.52/0.89  (define @t52 () (not @t51))
% 0.52/0.89  (define @t53 () (_ @t21 @t20))
% 0.52/0.89  (define @t54 () (_ @t23 @t20 @t53))
% 0.52/0.89  (define @t55 () (@var "BOUND_VARIABLE_7466" tptp.a))
% 0.52/0.89  (define @t56 () (not (_ @t23 @t20 @t55)))
% 0.52/0.89  (define @t57 () (or @t56 @t54))
% 0.52/0.89  (define @t58 () (forall (@list @t20 @t55) @t57))
% 0.52/0.89  (define @t59 () (@list @t55))
% 0.52/0.89  (define @t60 () (forall @t59 @t57))
% 0.52/0.89  (define @t61 () (forall @t59 @t56))
% 0.52/0.89  (define @t62 () (or @t61 @t54))
% 0.52/0.89  (define @t63 () (_ @t23 @t20 @t26))
% 0.52/0.89  (define @t64 () (forall @t28 (not @t63)))
% 0.52/0.89  (define @t65 () (or @t64 @t25))
% 0.52/0.89  (define @t66 () (not @t64))
% 0.52/0.89  (define @t67 () (not @t27))
% 0.52/0.89  (define @t68 () (forall @t28 @t67))
% 0.52/0.89  (define @t69 () (not @t68))
% 0.52/0.89  (define @t70 () (@quantifiers_skolemize (forall @t18 (or (not @t42) @t46)) 0))
% 0.52/0.89  (define @t71 () (not (_ @t70 @t1)))
% 0.52/0.89  (define @t72 () (forall @t7 (or @t71 @t39)))
% 0.52/0.89  (define @t73 () (forall @t9 (not (forall @t7 (or @t71 @t44)))))
% 0.52/0.89  (define @t74 () (not @t73))
% 0.52/0.89  (define @t75 () (not @t72))
% 0.52/0.89  (define @t76 () (or @t75 @t74))
% 0.52/0.89  (define @t77 () (@list true))
% 0.52/0.89  (define @t78 () (@list @t76))
% 0.52/0.89  (define @t79 () (@const 0 (-> (-> tptp.a Bool) tptp.a)))
% 0.52/0.89  (define @t80 () (_ @t79 @t1))
% 0.52/0.89  (define @t81 () (forall @t7 (or @t71 (_ @t1 @t80))))
% 0.52/0.89  (define @t82 () (@quantifiers_skolemize @t81 0))
% 0.52/0.89  (define @t83 () (@list @t82))
% 0.52/0.89  (define @t84 () (@var "BOUND_VARIABLE_51214" (-> tptp.a Bool)))
% 0.52/0.89  (define @t85 () (_ @t79 @t84))
% 0.52/0.89  (define @t86 () (@list @t84))
% 0.52/0.89  (define @t87 () (lambda @t86 @t85))
% 0.52/0.89  (define @t88 () (_ @t87 @t1))
% 0.52/0.89  (define @t89 () (_ @t1 @t88))
% 0.52/0.89  (define @t90 () (or @t71 @t89))
% 0.52/0.89  (define @t91 () (forall @t7 @t90))
% 0.52/0.89  (define @t92 () (not @t91))
% 0.52/0.89  (define @t93 () (_ @t70 @t82))
% 0.52/0.89  (define @t94 () (_ @t82 (_ @t79 @t82)))
% 0.52/0.89  (define @t95 () (not @t93))
% 0.52/0.89  (define @t96 () (or @t95 @t94))
% 0.52/0.89  (define @t97 () (@list @t96))
% 0.52/0.89  (define @t98 () (forall @t13 (not (_ @t82 @t11))))
% 0.52/0.89  (define @t99 () (not @t98))
% 0.52/0.89  (define @t100 () (or @t95 @t99))
% 0.52/0.89  (define @t101 () (@var "x" tptp.a))
% 0.52/0.89  (define @t102 () (@list @t101))
% 0.52/0.89  (define @t103 () (forall @t102 (not (_ @t82 @t101))))
% 0.52/0.89  (define @t104 () (or @t103 @t94))
% 0.52/0.89  (assume @p1 @t37)
% 0.52/0.89  (assume @p2 true)
% 0.52/0.89  (step @p3 :rule bool-impl-elim :args (@t42 @t46))
% 0.52/0.89  (step @p4 :rule cong :premises (@p3) :args ((forall @t18 (=> @t42 @t46))))
% 0.52/0.89  (step @p5 :rule exists-elim :args ((= (exists @t9 @t45) @t46)))
% 0.52/0.89  (step @p6 :rule refl :args ((_ @t1 @t3)))
% 0.52/0.89  (step @p7 :rule refl :args (@t43))
% 0.52/0.89  (step @p8 :rule cong :premises (@p7) :args (@t44))
% 0.52/0.89  (step @p9 :rule trans :premises (@p8 @p6))
% 0.52/0.89  (step @p10 :rule refl :args (@t1))
% 0.52/0.89  (step @p11 :rule ho_cong :premises (@p10 @p7))
% 0.52/0.89  (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t1 @t43) @t44)))
% 0.52/0.89  (step @p13 :rule symm :premises (@p12))
% 0.52/0.89  (step @p14 :rule refl :args (@t4))
% 0.52/0.89  (step @p15 :rule eq_resolve :premises (@p14 @p13))
% 0.52/0.89  (step @p16 :rule refl :args (@t3))
% 0.52/0.89  (step @p17 :rule cong :premises (@p16 @p7) :args ((= @t3 @t43)))
% 0.52/0.89  (step @p18 :rule symm :premises (@p17))
% 0.52/0.89  (step @p19 :rule eq_resolve :premises (@p16 @p18))
% 0.52/0.89  (step @p20 :rule ho_cong :premises (@p10 @p19))
% 0.52/0.89  (step @p21 :rule trans :premises (@p20 @p15))
% 0.52/0.89  (step @p22 :rule refl :args (@t40))
% 0.52/0.89  (step @p23 :rule refl :args (@t6))
% 0.52/0.89  (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t6 @t40)))
% 0.52/0.89  (step @p25 :rule symm :premises (@p24))
% 0.52/0.89  (step @p26 :rule eq_resolve :premises (@p23 @p25))
% 0.52/0.89  (step @p27 :rule cong :premises (@p26) :args (@t47))
% 0.52/0.89  (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t48))
% 0.52/0.89  (step @p29 :rule cong :premises (@p28) :args ((forall @t7 @t48)))
% 0.52/0.89  (step @p30 :rule bool-impl-elim :args (@t6 @t4))
% 0.52/0.89  (step @p31 :rule cong :premises (@p30) :args (@t8))
% 0.52/0.89  (step @p32 :rule trans :premises (@p31 @p29))
% 0.52/0.89  (step @p33 :rule cong :premises (@p32) :args (@t10))
% 0.52/0.89  (step @p34 :rule trans :premises (@p33 @p5))
% 0.52/0.89  (step @p35 :rule refl :args (@t39))
% 0.52/0.89  (step @p36 :rule nary_cong :premises (@p27 @p35) :args (@t49))
% 0.52/0.89  (step @p37 :rule cong :premises (@p36) :args ((forall @t7 @t49)))
% 0.52/0.89  (step @p38 :rule bool-impl-elim :args (@t6 @t39))
% 0.52/0.89  (step @p39 :rule cong :premises (@p38) :args ((forall @t7 (=> @t6 @t39))))
% 0.52/0.89  (step @p40 :rule trans :premises (@p39 @p37))
% 0.52/0.89  (step @p41 :rule refl :args (@t38))
% 0.52/0.89  (step @p42 :rule refl :args (@t12))
% 0.52/0.89  (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t12 @t38)))
% 0.52/0.89  (step @p44 :rule symm :premises (@p43))
% 0.52/0.89  (step @p45 :rule eq_resolve :premises (@p42 @p44))
% 0.52/0.89  (step @p46 :rule cong :premises (@p45) :args (@t50))
% 0.52/0.89  (step @p47 :rule cong :premises (@p46) :args (@t51))
% 0.52/0.89  (step @p48 :rule cong :premises (@p47) :args (@t52))
% 0.52/0.89  (step @p49 :rule exists-elim :args ((= @t14 @t52)))
% 0.52/0.89  (step @p50 :rule trans :premises (@p49 @p48))
% 0.52/0.89  (step @p51 :rule refl :args (@t6))
% 0.52/0.89  (step @p52 :rule cong :premises (@p51 @p50) :args (@t15))
% 0.52/0.89  (step @p53 :rule cong :premises (@p52) :args (@t16))
% 0.52/0.89  (step @p54 :rule trans :premises (@p53 @p40))
% 0.52/0.89  (step @p55 :rule cong :premises (@p54 @p34) :args (@t17))
% 0.52/0.89  (step @p56 :rule cong :premises (@p55) :args (@t19))
% 0.52/0.89  (step @p57 :rule trans :premises (@p56 @p4))
% 0.52/0.89  (step @p58 :rule exists-elim :args ((= (exists @t33 @t58) (not (forall @t33 (not @t58))))))
% 0.52/0.89  (step @p59 :rule quant-merge-prenex :args ((= (forall @t31 @t60) @t58)))
% 0.52/0.89  (step @p60 :rule refl :args (@t54))
% 0.52/0.89  (step @p61 :rule alpha_equiv :args (@t61 (@list @t55) (@list @t26)))
% 0.52/0.89  (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t62))
% 0.52/0.89  (step @p63 :rule quant-miniscope-or :args ((= @t60 @t62)))
% 0.52/0.89  (step @p64 :rule trans :premises (@p63 @p62))
% 0.52/0.89  (step @p65 :rule symm :premises (@p64))
% 0.52/0.89  (step @p66 :rule cong :premises (@p65) :args ((forall @t31 (or @t64 @t54))))
% 0.52/0.89  (step @p67 :rule trans :premises (@p66 @p59))
% 0.52/0.89  (step @p68 :rule refl :args ((_ @t23 @t20 @t22)))
% 0.52/0.89  (step @p69 :rule refl :args (@t53))
% 0.52/0.89  (step @p70 :rule refl :args (@t20))
% 0.52/0.89  (step @p71 :rule cong :premises (@p70 @p69) :args (@t54))
% 0.52/0.89  (step @p72 :rule trans :premises (@p71 @p68))
% 0.52/0.89  (step @p73 :rule refl :args (@t24))
% 0.52/0.89  (step @p74 :rule ho_cong :premises (@p73 @p69))
% 0.52/0.89  (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ @t24 @t53) @t54)))
% 0.52/0.89  (step @p76 :rule symm :premises (@p75))
% 0.52/0.89  (step @p77 :rule refl :args (@t25))
% 0.52/0.89  (step @p78 :rule eq_resolve :premises (@p77 @p76))
% 0.52/0.89  (step @p79 :rule refl :args (@t22))
% 0.52/0.89  (step @p80 :rule cong :premises (@p79 @p69) :args ((= @t22 @t53)))
% 0.52/0.89  (step @p81 :rule symm :premises (@p80))
% 0.52/0.89  (step @p82 :rule eq_resolve :premises (@p79 @p81))
% 0.52/0.89  (step @p83 :rule ho_cong :premises (@p73 @p82))
% 0.52/0.89  (step @p84 :rule trans :premises (@p83 @p78))
% 0.52/0.89  (step @p85 :rule refl :args (@t64))
% 0.52/0.89  (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t65))
% 0.52/0.89  (step @p87 :rule cong :premises (@p86) :args ((forall @t31 @t65)))
% 0.52/0.89  (step @p88 :rule trans :premises (@p87 @p67))
% 0.52/0.89  (step @p89 :rule bool-double-not-elim :args (@t64))
% 0.52/0.89  (step @p90 :rule nary_cong :premises (@p89 @p77) :args ((or (not @t66) @t25)))
% 0.52/0.89  (step @p91 :rule bool-impl-elim :args (@t66 @t25))
% 0.52/0.89  (step @p92 :rule trans :premises (@p91 @p90))
% 0.52/0.89  (step @p93 :rule cong :premises (@p92) :args ((forall @t31 (=> @t66 @t25))))
% 0.52/0.89  (step @p94 :rule trans :premises (@p93 @p88))
% 0.52/0.89  (step @p95 :rule refl :args (@t25))
% 0.52/0.89  (step @p96 :rule refl :args (@t63))
% 0.52/0.89  (step @p97 :rule refl :args (@t27))
% 0.52/0.89  (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t27 @t63)))
% 0.52/0.89  (step @p99 :rule symm :premises (@p98))
% 0.52/0.89  (step @p100 :rule eq_resolve :premises (@p97 @p99))
% 0.52/0.89  (step @p101 :rule cong :premises (@p100) :args (@t67))
% 0.52/0.89  (step @p102 :rule cong :premises (@p101) :args (@t68))
% 0.52/0.89  (step @p103 :rule cong :premises (@p102) :args (@t69))
% 0.52/0.89  (step @p104 :rule exists-elim :args ((= @t29 @t69)))
% 0.52/0.89  (step @p105 :rule trans :premises (@p104 @p103))
% 0.52/0.89  (step @p106 :rule cong :premises (@p105 @p95) :args (@t30))
% 0.52/0.89  (step @p107 :rule cong :premises (@p106) :args (@t32))
% 0.52/0.89  (step @p108 :rule trans :premises (@p107 @p94))
% 0.52/0.89  (step @p109 :rule cong :premises (@p108) :args (@t34))
% 0.52/0.89  (step @p110 :rule trans :premises (@p109 @p58))
% 0.52/0.89  (step @p111 :rule cong :premises (@p110) :args (@t35))
% 0.52/0.89  (step @p112 :rule cong :premises (@p111 @p57) :args (@t36))
% 0.52/0.89  (step @p113 :rule cong :premises (@p112) :args (@t37))
% 0.52/0.89  (step @p114 :rule eq_resolve :premises (@p1 @p113))
% 0.52/0.89  (step @p115 :rule not_implies_elim2 :premises (@p114))
% 0.52/0.89  (step @p116 :rule skolemize :premises (@p115))
% 0.52/0.89  (step @p117 :rule bool-double-not-elim :args (@t72))
% 0.52/0.89  (step @p118 :rule refl :args (@t76))
% 0.52/0.89  (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t76 (not @t75))))
% 0.52/0.89  (step @p120 :rule cnf_or_neg :args (@t76 0))
% 0.52/0.89  (step @p121 :rule eq_resolve :premises (@p120 @p119))
% 0.52/0.89  (step @p122 :rule reordering :premises (@p121) :args ((or @t72 @t76)))
% 0.52/0.89  (step @p123 :rule chain_m_resolution :premises (@p122 @p116) :args (@t72 @t77 @t78))
% 0.52/0.89  (step @p124 :rule instantiate :premises (@p123) :args (@t83))
% 0.52/0.89  (step @p125 :rule bool-double-not-elim :args (@t73))
% 0.52/0.89  (step @p126 :rule nary_cong :premises (@p118 @p125) :args ((or @t76 (not @t74))))
% 0.52/0.89  (step @p127 :rule cnf_or_neg :args (@t76 1))
% 0.52/0.89  (step @p128 :rule eq_resolve :premises (@p127 @p126))
% 0.52/0.89  (step @p129 :rule reordering :premises (@p128) :args ((or @t73 @t76)))
% 0.52/0.89  (step @p130 :rule chain_m_resolution :premises (@p129 @p116) :args (@t73 @t77 @t78))
% 0.52/0.89  (step @p131 :rule beta-reduce :args ((= @t88 @t80)))
% 0.52/0.89  (step @p132 :rule cong :premises (@p131) :args (@t89))
% 0.52/0.89  (step @p133 :rule refl :args (@t71))
% 0.52/0.89  (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t90))
% 0.52/0.89  (step @p135 :rule cong :premises (@p134) :args (@t91))
% 0.52/0.89  (step @p136 :rule cong :premises (@p135) :args (@t92))
% 0.52/0.89  (step @p137 :rule refl :args (@t73))
% 0.52/0.89  (step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t73 @t92)))
% 0.52/0.89  (assume-push @p167 @t73)
% 0.52/0.89  (step @p140 :rule instantiate :premises (@p130) :args ((@list @t87)))
% 0.52/0.89  (step-pop @p168 :rule scope :premises (@p140))
% 0.52/0.89  (step @p141 :rule process_scope :premises (@p168) :args (@t92))
% 0.52/0.89  (step @p143 :rule eq_resolve :premises (@p141 @p138))
% 0.52/0.89  (step @p144 :rule implies_elim :premises (@p143))
% 0.52/0.89  (step @p145 :rule chain_m_resolution :premises (@p144 @p130) :args ((not @t81) (@list false) (@list @t73)))
% 0.52/0.89  (step @p146 :rule skolemize :premises (@p145))
% 0.52/0.89  (step @p147 :rule bool-double-not-elim :args (@t93))
% 0.52/0.89  (step @p148 :rule refl :args (@t96))
% 0.52/0.89  (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t96 (not @t95))))
% 0.52/0.89  (step @p150 :rule cnf_or_neg :args (@t96 0))
% 0.52/0.89  (step @p151 :rule eq_resolve :premises (@p150 @p149))
% 0.52/0.89  (step @p152 :rule reordering :premises (@p151) :args ((or @t93 @t96)))
% 0.52/0.89  (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t93 @t77 @t97))
% 0.52/0.89  (step @p154 :rule cnf_or_pos :args (@t100))
% 0.52/0.89  (step @p155 :rule reordering :premises (@p154) :args ((or @t95 @t99 (not @t100))))
% 0.52/0.89  (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p124) :args (@t99 (@list false false) (@list @t93 @t100)))
% 0.52/0.90  ; WARNING: add trust step for TRUST
% 0.52/0.90  ; trust TRUST THEORY_LEMMA
% 0.52/0.90  (step @p157 :rule trust :premises () :args ((forall @t86 (or (forall @t102 (not (_ @t84 @t101))) (_ @t84 @t85)))))
% 0.52/0.90  (step @p158 :rule instantiate :premises (@p157) :args (@t83))
% 0.52/0.90  (step @p159 :rule cnf_or_neg :args (@t96 1))
% 0.52/0.90  (step @p160 :rule chain_m_resolution :premises (@p159 @p146) :args ((not @t94) @t77 @t97))
% 0.52/0.90  (step @p161 :rule cnf_or_pos :args (@t104))
% 0.52/0.90  (step @p162 :rule reordering :premises (@p161) :args ((or @t94 @t103 (not @t104))))
% 0.52/0.90  (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p158) :args (@t103 (@list true false) (@list @t94 @t104)))
% 0.52/0.90  (step @p164 :rule alpha_equiv :args (@t98 (@list @t11) (@list @t101)))
% 0.52/0.90  (step @p165 :rule equiv_elim2 :premises (@p164))
% 0.52/0.90  (step @p166 false :rule chain_m_resolution :premises (@p165 @p163 @p156) :args (false (@list false true) (@list @t103 @t98)))
% 0.52/0.90  )
% 0.52/0.90  % SZS output end Proof
% 0.52/0.90  % cvc5 exiting
%------------------------------------------------------------------------------