0.10/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Fri Sep  5 19:50:22 EDT 2025
0.12/0.33	% CPUTime  : 
0.18/0.47	%----Proving TH0
1.03/1.23	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
1.03/1.23	% SZS status Theorem
1.03/1.23	% SZS output start Proof
1.03/1.23	(
1.03/1.23	(declare-type tptp.a ())
1.03/1.23	(define @t1 () (@var "Xx" tptp.a))
1.03/1.23	(define @t2 () (@var "Y" (-> tptp.a Bool)))
1.03/1.23	(define @t3 () (_ @t2 @t1))
1.03/1.23	(define @t4 () (@var "X" (-> tptp.a Bool)))
1.03/1.23	(define @t5 () (_ @t4 @t1))
1.03/1.23	(define @t6 () (@list @t1))
1.03/1.23	(define @t7 () (forall @t6 (=> @t5 @t3)))
1.03/1.23	(define @t8 () (@var "Z" (-> tptp.a Bool)))
1.03/1.23	(define @t9 () (_ @t8 @t1))
1.03/1.23	(define @t10 () (forall @t6 (=> @t5 @t9)))
1.03/1.23	(define @t11 () (@var "V" (-> tptp.a Bool)))
1.03/1.23	(define @t12 () (_ @t11 @t1))
1.03/1.23	(define @t13 () (forall @t6 (=> @t12 @t5)))
1.03/1.23	(define @t14 () (forall @t6 (=> @t12 @t9)))
1.03/1.23	(define @t15 () (forall @t6 (=> @t12 @t3)))
1.03/1.23	(define @t16 () (and @t15 @t14))
1.03/1.23	(define @t17 () (=> @t16 @t13))
1.03/1.23	(define @t18 () (@list @t11))
1.03/1.23	(define @t19 () (forall @t18 @t17))
1.03/1.23	(define @t20 () (and @t19 @t10 @t7))
1.03/1.23	(define @t21 () (and @t9 @t3))
1.03/1.23	(define @t22 () (lambda @t6 @t21))
1.03/1.23	(define @t23 () (= @t4 @t22))
1.03/1.23	(define @t24 () (= @t23 @t20))
1.03/1.23	(define @t25 () (@list @t4 @t2 @t8))
1.03/1.23	(define @t26 () (forall @t25 @t24))
1.03/1.23	(define @t27 () (not @t26))
1.03/1.23	(define @t28 () (_ @t2 @t1))
1.03/1.23	(define @t29 () (_ @t8 @t1))
1.03/1.23	(define @t30 () (= @t4 (lambda @t6 (and @t29 @t28))))
1.03/1.23	(define @t31 () (_ @t4 @t1))
1.03/1.23	(define @t32 () (not @t31))
1.03/1.23	(define @t33 () (@var "BOUND_VARIABLE_7329" tptp.a))
1.03/1.23	(define @t34 () (_ @t4 @t33))
1.03/1.23	(define @t35 () (not (_ @t11 @t33)))
1.03/1.23	(define @t36 () (_ @t11 @t1))
1.03/1.23	(define @t37 () (not @t36))
1.03/1.23	(define @t38 () (forall @t6 (or @t37 @t29)))
1.03/1.23	(define @t39 () (not @t38))
1.03/1.23	(define @t40 () (forall @t6 (or @t37 @t28)))
1.03/1.23	(define @t41 () (not @t40))
1.03/1.23	(define @t42 () (or @t41 @t39 @t35 @t34))
1.03/1.23	(define @t43 () (@list @t11 @t33))
1.03/1.23	(define @t44 () (and (forall @t43 @t42) (forall @t6 (or @t32 @t29)) (forall @t6 (or @t32 @t28))))
1.03/1.23	(define @t45 () (= @t23 @t44))
1.03/1.23	(define @t46 () (not @t5))
1.03/1.23	(define @t47 () (or @t46 @t3))
1.03/1.23	(define @t48 () (or @t46 @t9))
1.03/1.23	(define @t49 () (or @t35 @t34))
1.03/1.23	(define @t50 () (or @t41 @t39 @t49))
1.03/1.23	(define @t51 () (forall @t43 @t50))
1.03/1.23	(define @t52 () (@list @t33))
1.03/1.23	(define @t53 () (forall @t52 @t50))
1.03/1.23	(define @t54 () (forall @t52 @t49))
1.03/1.23	(define @t55 () (or @t41 @t39 @t54))
1.03/1.23	(define @t56 () (forall @t6 (or @t37 @t31)))
1.03/1.23	(define @t57 () (or @t41 @t39 @t56))
1.03/1.23	(define @t58 () (and @t40 @t38))
1.03/1.23	(define @t59 () (not @t12))
1.03/1.23	(define @t60 () (or @t59 @t5))
1.03/1.23	(define @t61 () (or @t59 @t9))
1.03/1.23	(define @t62 () (or @t59 @t3))
1.03/1.23	(define @t63 () (forall @t25 (= @t44 @t30)))
1.03/1.23	(define @t64 () (@quantifiers_skolemize @t63 1))
1.03/1.23	(define @t65 () (_ @t64 @t1))
1.03/1.23	(define @t66 () (@quantifiers_skolemize @t63 2))
1.03/1.23	(define @t67 () (_ @t66 @t1))
1.03/1.23	(define @t68 () (and @t67 @t65))
1.03/1.23	(define @t69 () (lambda @t6 @t68))
1.03/1.23	(define @t70 () (@purify @t69))
1.03/1.23	(define @t71 () (@quantifiers_skolemize @t63 0))
1.03/1.23	(define @t72 () (= @t71 @t70))
1.03/1.23	(define @t73 () (not (_ @t71 @t1)))
1.03/1.23	(define @t74 () (forall @t6 (or @t73 @t65)))
1.03/1.23	(define @t75 () (forall @t6 (or @t73 @t67)))
1.03/1.23	(define @t76 () (forall @t43 (or (not (forall @t6 (or @t37 @t65))) (not (forall @t6 (or @t37 @t67))) @t35 (_ @t71 @t33))))
1.03/1.23	(define @t77 () (and @t76 @t75 @t74))
1.03/1.23	(define @t78 () (= @t77 @t72))
1.03/1.23	(define @t79 () (not @t78))
1.03/1.23	(define @t80 () (not @t63))
1.03/1.23	(define @t81 () (= @t71 @t69))
1.03/1.23	(define @t82 () (= @t77 @t81))
1.03/1.23	(define @t83 () (not @t82))
1.03/1.23	(define @t84 () (@list true))
1.03/1.23	(define @t85 () (@quantifiers_skolemize @t74 0))
1.03/1.23	(define @t86 () (_ @t64 @t85))
1.03/1.23	(define @t87 () (_ @t71 @t85))
1.03/1.23	(define @t88 () (not @t87))
1.03/1.23	(define @t89 () (or @t88 @t86))
1.03/1.23	(define @t90 () (not @t89))
1.03/1.23	(define @t91 () (not @t74))
1.03/1.23	(define @t92 () (not @t77))
1.03/1.23	(define @t93 () (and (_ @t66 @t85) @t86))
1.03/1.23	(define @t94 () (_ @t71 @t85))
1.03/1.23	(define @t95 () (= @t94 @t93))
1.03/1.23	(define @t96 () (=> @t72 @t95))
1.03/1.23	(define @t97 () (= @t87 @t93))
1.03/1.23	(define @t98 () (@quantifiers_skolemize @t75 0))
1.03/1.23	(define @t99 () (_ @t66 @t98))
1.03/1.23	(define @t100 () (_ @t71 @t98))
1.03/1.23	(define @t101 () (not @t100))
1.03/1.23	(define @t102 () (or @t101 @t99))
1.03/1.23	(define @t103 () (not @t102))
1.03/1.23	(define @t104 () (not @t75))
1.03/1.23	(define @t105 () (and @t99 (_ @t64 @t98)))
1.03/1.23	(define @t106 () (_ @t70 @t1))
1.03/1.23	(define @t107 () (_ @t69 @t1))
1.03/1.23	(define @t108 () (= @t106 @t107))
1.03/1.23	(define @t109 () (forall @t6 @t108))
1.03/1.23	(define @t110 () (_ @t70 @t98))
1.03/1.23	(define @t111 () (= @t105 @t110))
1.03/1.23	(define @t112 () (and @t72 @t100))
1.03/1.23	(define @t113 () (@const 0 tptp.a))
1.03/1.23	(define @t114 () (_ @t71 @t113))
1.03/1.23	(define @t115 () (_ @t66 @t113))
1.03/1.23	(define @t116 () (not @t115))
1.03/1.23	(define @t117 () (_ @t64 @t113))
1.03/1.23	(define @t118 () (not @t117))
1.03/1.23	(define @t119 () (or @t118 @t116 @t114))
1.03/1.23	(define @t120 () (= @t113 @t113))
1.03/1.23	(define @t121 () (@var "BOUND_VARIABLE_30329" tptp.a))
1.03/1.23	(define @t122 () (lambda (@list @t121) (= @t121 @t113)))
1.03/1.23	(define @t123 () (_ @t122 @t113))
1.03/1.23	(define @t124 () (not @t123))
1.03/1.23	(define @t125 () (not @t120))
1.03/1.23	(define @t126 () (or @t125 @t115))
1.03/1.23	(define @t127 () (= @t1 @t113))
1.03/1.23	(define @t128 () (not @t127))
1.03/1.23	(define @t129 () (or @t128 @t128 @t67))
1.03/1.23	(define @t130 () (or @t128 @t67))
1.03/1.23	(define @t131 () (_ @t122 @t1))
1.03/1.23	(define @t132 () (not @t131))
1.03/1.23	(define @t133 () (or @t132 @t67))
1.03/1.23	(define @t134 () (forall @t6 @t133))
1.03/1.23	(define @t135 () (not @t134))
1.03/1.23	(define @t136 () (or @t125 @t117))
1.03/1.23	(define @t137 () (or @t128 @t128 @t65))
1.03/1.23	(define @t138 () (or @t128 @t65))
1.03/1.23	(define @t139 () (or @t132 @t65))
1.03/1.23	(define @t140 () (forall @t6 @t139))
1.03/1.23	(define @t141 () (not @t140))
1.03/1.23	(define @t142 () (or @t141 @t135 @t124 @t114))
1.03/1.23	(define @t143 () (@list @t113))
1.03/1.23	(define @t144 () (not @t114))
1.03/1.23	(define @t145 () (or @t144 @t115))
1.03/1.23	(define @t146 () (or @t144 @t117))
1.03/1.23	(define @t147 () (and @t115 @t117))
1.03/1.23	(define @t148 () (_ @t69 @t113))
1.03/1.23	(define @t149 () (_ @t70 @t113))
1.03/1.23	(define @t150 () (= @t114 @t149))
1.03/1.23	(define @t151 () (not @t150))
1.03/1.23	(define @t152 () (or @t72 @t151))
1.03/1.23	(define @t153 () (= @t114 @t147))
1.03/1.23	(define @t154 () (not @t145))
1.03/1.23	(define @t155 () (not @t146))
1.03/1.23	(define @t156 () (not @t147))
1.03/1.23	(define @t157 () (@list false false))
1.03/1.23	(define @t158 () (@list false))
1.03/1.23	(define @t159 () (not @t76))
1.03/1.23	(define @t160 () (@list @t76))
1.03/1.23	(define @t161 () (@quantifiers_skolemize @t76 1))
1.03/1.23	(define @t162 () (_ @t71 @t161))
1.03/1.23	(define @t163 () (@quantifiers_skolemize @t76 0))
1.03/1.23	(define @t164 () (_ @t163 @t161))
1.03/1.23	(define @t165 () (not @t164))
1.03/1.23	(define @t166 () (not (_ @t163 @t1)))
1.03/1.23	(define @t167 () (forall @t6 (or @t166 @t67)))
1.03/1.23	(define @t168 () (not @t167))
1.03/1.23	(define @t169 () (forall @t6 (or @t166 @t65)))
1.03/1.23	(define @t170 () (not @t169))
1.03/1.23	(define @t171 () (or @t170 @t168 @t165 @t162))
1.03/1.23	(define @t172 () (not @t171))
1.03/1.23	(define @t173 () (@list @t171))
1.03/1.23	(define @t174 () (@list @t161))
1.03/1.23	(define @t175 () (_ @t66 @t161))
1.03/1.23	(define @t176 () (or @t165 @t175))
1.03/1.23	(define @t177 () (_ @t64 @t161))
1.03/1.23	(define @t178 () (or @t165 @t177))
1.03/1.23	(define @t179 () (and @t175 @t177))
1.03/1.23	(define @t180 () (_ @t70 @t161))
1.03/1.23	(define @t181 () (= @t179 @t180))
1.03/1.23	(define @t182 () (not @t180))
1.03/1.23	(define @t183 () (not @t72))
1.03/1.23	(define @t184 () (not @t162))
1.03/1.23	(define @t185 () (and @t180 @t72 @t184))
1.03/1.23	(assume @p1 @t27)
1.03/1.23	(assume @p2 true)
1.03/1.23	(step @p3 :rule eq-symm :args (@t30 @t44))
1.03/1.23	(step @p4 :rule cong :premises (@p3) :args ((forall @t25 (= @t30 @t44))))
1.03/1.23	(step @p5 :rule refl :args (@t44))
1.03/1.23	(step @p6 :rule refl :args (@t28))
1.03/1.23	(step @p7 :rule refl :args (@t3))
1.03/1.23	(step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t28)))
1.03/1.23	(step @p9 :rule symm :premises (@p8))
1.03/1.23	(step @p10 :rule eq_resolve :premises (@p7 @p9))
1.03/1.23	(step @p11 :rule refl :args (@t29))
1.03/1.23	(step @p12 :rule refl :args (@t9))
1.03/1.23	(step @p13 :rule cong :premises (@p12 @p11) :args ((= @t9 @t29)))
1.03/1.23	(step @p14 :rule symm :premises (@p13))
1.03/1.23	(step @p15 :rule eq_resolve :premises (@p12 @p14))
1.03/1.23	(step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t21))
1.03/1.23	(step @p17 :rule cong :premises (@p16) :args (@t22))
1.03/1.23	(step @p18 :rule refl :args (@t4))
1.03/1.23	(step @p19 :rule cong :premises (@p18 @p17) :args (@t23))
1.03/1.23	(step @p20 :rule cong :premises (@p19 @p5) :args (@t45))
1.03/1.23	(step @p21 :rule cong :premises (@p20) :args ((forall @t25 @t45)))
1.03/1.23	(step @p22 :rule trans :premises (@p21 @p4))
1.03/1.23	(step @p23 :rule refl :args (@t31))
1.03/1.23	(step @p24 :rule refl :args (@t5))
1.03/1.23	(step @p25 :rule cong :premises (@p24 @p23) :args ((= @t5 @t31)))
1.03/1.23	(step @p26 :rule symm :premises (@p25))
1.03/1.23	(step @p27 :rule eq_resolve :premises (@p24 @p26))
1.03/1.23	(step @p28 :rule cong :premises (@p27) :args (@t46))
1.03/1.23	(step @p29 :rule nary_cong :premises (@p28 @p10) :args (@t47))
1.03/1.23	(step @p30 :rule cong :premises (@p29) :args ((forall @t6 @t47)))
1.03/1.23	(step @p31 :rule bool-impl-elim :args (@t5 @t3))
1.03/1.23	(step @p32 :rule cong :premises (@p31) :args (@t7))
1.03/1.23	(step @p33 :rule trans :premises (@p32 @p30))
1.03/1.23	(step @p34 :rule nary_cong :premises (@p28 @p15) :args (@t48))
1.03/1.23	(step @p35 :rule cong :premises (@p34) :args ((forall @t6 @t48)))
1.03/1.23	(step @p36 :rule bool-impl-elim :args (@t5 @t9))
1.03/1.23	(step @p37 :rule cong :premises (@p36) :args (@t10))
1.03/1.23	(step @p38 :rule trans :premises (@p37 @p35))
1.03/1.23	(step @p39 :rule aci_norm :args ((= @t50 @t42)))
1.03/1.23	(step @p40 :rule cong :premises (@p39) :args (@t51))
1.03/1.23	(step @p41 :rule quant-merge-prenex :args ((= (forall @t18 @t53) @t51)))
1.03/1.23	(step @p42 :rule alpha_equiv :args (@t54 (@list @t33) (@list @t1)))
1.03/1.23	(step @p43 :rule refl :args (@t39))
1.03/1.23	(step @p44 :rule refl :args (@t41))
1.03/1.23	(step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t55))
1.03/1.23	(step @p46 :rule quant-miniscope-or :args ((= @t53 @t55)))
1.03/1.23	(step @p47 :rule trans :premises (@p46 @p45))
1.03/1.23	(step @p48 :rule symm :premises (@p47))
1.03/1.23	(step @p49 :rule cong :premises (@p48) :args ((forall @t18 @t57)))
1.03/1.23	(step @p50 :rule trans :premises (@p49 @p41))
1.03/1.23	(step @p51 :rule trans :premises (@p50 @p40))
1.03/1.23	(step @p52 :rule aci_norm :args ((= (or (or @t41 @t39) @t56) @t57)))
1.03/1.23	(step @p53 :rule refl :args (@t56))
1.03/1.23	(step @p54 :rule bool-and-de-morgan :args (@t40 @t38 true))
1.03/1.23	(step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t58) @t56)))
1.03/1.23	(step @p56 :rule trans :premises (@p55 @p52))
1.03/1.23	(step @p57 :rule bool-impl-elim :args (@t58 @t56))
1.03/1.23	(step @p58 :rule trans :premises (@p57 @p56))
1.03/1.23	(step @p59 :rule cong :premises (@p58) :args ((forall @t18 (=> @t58 @t56))))
1.03/1.23	(step @p60 :rule trans :premises (@p59 @p51))
1.03/1.23	(step @p61 :rule refl :args (@t36))
1.03/1.23	(step @p62 :rule refl :args (@t12))
1.03/1.23	(step @p63 :rule cong :premises (@p62 @p61) :args ((= @t12 @t36)))
1.03/1.23	(step @p64 :rule symm :premises (@p63))
1.03/1.23	(step @p65 :rule eq_resolve :premises (@p62 @p64))
1.03/1.23	(step @p66 :rule cong :premises (@p65) :args (@t59))
1.03/1.23	(step @p67 :rule nary_cong :premises (@p66 @p27) :args (@t60))
1.03/1.23	(step @p68 :rule cong :premises (@p67) :args ((forall @t6 @t60)))
1.03/1.23	(step @p69 :rule bool-impl-elim :args (@t12 @t5))
1.03/1.23	(step @p70 :rule cong :premises (@p69) :args (@t13))
1.03/1.23	(step @p71 :rule trans :premises (@p70 @p68))
1.03/1.23	(step @p72 :rule nary_cong :premises (@p66 @p15) :args (@t61))
1.03/1.23	(step @p73 :rule cong :premises (@p72) :args ((forall @t6 @t61)))
1.03/1.23	(step @p74 :rule bool-impl-elim :args (@t12 @t9))
1.03/1.23	(step @p75 :rule cong :premises (@p74) :args (@t14))
1.03/1.23	(step @p76 :rule trans :premises (@p75 @p73))
1.03/1.23	(step @p77 :rule nary_cong :premises (@p66 @p10) :args (@t62))
1.03/1.23	(step @p78 :rule cong :premises (@p77) :args ((forall @t6 @t62)))
1.03/1.23	(step @p79 :rule bool-impl-elim :args (@t12 @t3))
1.03/1.23	(step @p80 :rule cong :premises (@p79) :args (@t15))
1.03/1.23	(step @p81 :rule trans :premises (@p80 @p78))
1.03/1.23	(step @p82 :rule nary_cong :premises (@p81 @p76) :args (@t16))
1.03/1.23	(step @p83 :rule cong :premises (@p82 @p71) :args (@t17))
1.03/1.23	(step @p84 :rule cong :premises (@p83) :args (@t19))
1.03/1.23	(step @p85 :rule trans :premises (@p84 @p60))
1.03/1.23	(step @p86 :rule nary_cong :premises (@p85 @p38 @p33) :args (@t20))
1.03/1.23	(step @p87 :rule refl :args (@t23))
1.03/1.23	(step @p88 :rule cong :premises (@p87 @p86) :args (@t24))
1.03/1.23	(step @p89 :rule cong :premises (@p88) :args (@t26))
1.03/1.23	(step @p90 :rule trans :premises (@p89 @p22))
1.03/1.23	(step @p91 :rule cong :premises (@p90) :args (@t27))
1.03/1.23	(step @p92 :rule eq_resolve :premises (@p1 @p91))
1.03/1.23	(step @p93 :rule refl :args (@t79))
1.03/1.23	(step @p94 :rule bool-double-not-elim :args (@t63))
1.03/1.23	(step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t80) @t79)))
1.03/1.23	(step @p96 :rule eq-refl :args (@t69))
1.03/1.23	(step @p97 :rule skolem_intro :args (@t70))
1.03/1.23	(step @p98 :rule refl :args (@t69))
1.03/1.23	(step @p99 :rule cong :premises (@p98 @p97) :args ((= @t69 @t70)))
1.03/1.23	(step @p100 :rule trans :premises (@p99 @p96))
1.03/1.23	(step @p101 :rule true_elim :premises (@p100))
1.03/1.23	(step @p102 :rule refl :args (@t71))
1.03/1.23	(step @p103 :rule cong :premises (@p102 @p101) :args (@t81))
1.03/1.23	(step @p104 :rule refl :args (@t77))
1.03/1.23	(step @p105 :rule cong :premises (@p104 @p103) :args (@t82))
1.03/1.23	(step @p106 :rule cong :premises (@p105) :args (@t83))
1.03/1.23	(step @p107 :rule refl :args (@t80))
1.03/1.23	(step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t80 @t83)))
1.03/1.23	(assume-push @p421 @t80)
1.03/1.23	(step @p110 :rule skolemize :premises (@p92))
1.03/1.23	(step-pop @p421 :rule scope :premises (@p110))
1.03/1.23	(step @p111 :rule process_scope :premises (@p421) :args (@t83))
1.03/1.23	(step @p113 :rule eq_resolve :premises (@p111 @p108))
1.03/1.23	(step @p114 :rule implies_elim :premises (@p113))
1.03/1.23	(step @p115 :rule eq_resolve :premises (@p114 @p95))
1.03/1.23	(step @p116 :rule chain_resolution :premises (@p115 @p92) :args (@t84 (@list @t63)))
1.03/1.23	(step @p117 :rule refl :args (@t90))
1.03/1.23	(step @p118 :rule bool-double-not-elim :args (@t74))
1.03/1.23	(step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t91) @t90)))
1.03/1.23	(assume-push @p423 @t91)
1.03/1.23	(step @p121 :rule skolemize :premises (@p423))
1.03/1.23	(step-pop @p423 :rule scope :premises (@p121))
1.03/1.23	(step @p122 :rule process_scope :premises (@p423) :args (@t90))
1.03/1.23	(step @p124 :rule implies_elim :premises (@p122))
1.03/1.23	(step @p125 :rule eq_resolve :premises (@p124 @p119))
1.03/1.23	(step @p126 :rule cnf_and_pos :args (@t77 2))
1.03/1.23	(step @p127 :rule reordering :premises (@p126) :args ((or @t74 @t92)))
1.03/1.23	(step @p128 :rule cnf_equiv_neg1 :args (@t78))
1.03/1.23	(step @p129 :rule reordering :premises (@p128) :args ((or @t77 @t72 @t78)))
1.03/1.23	(step @p130 :rule bool-double-not-elim :args (@t87))
1.03/1.23	(step @p131 :rule refl :args (@t89))
1.03/1.23	(step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t89 (not @t88))))
1.03/1.23	(step @p133 :rule cnf_or_neg :args (@t89 0))
1.03/1.23	(step @p134 :rule eq_resolve :premises (@p133 @p132))
1.03/1.23	(step @p135 :rule reordering :premises (@p134) :args ((or @t87 @t89)))
1.03/1.23	(step @p136 :rule cnf_or_neg :args (@t89 1))
1.03/1.23	(step @p137 :rule refl :args (@t93))
1.03/1.23	(step @p138 :rule refl :args (@t87))
1.03/1.23	(step @p139 :rule refl :args (@t94))
1.03/1.23	(step @p140 :rule cong :premises (@p139 @p138) :args ((= @t94 @t87)))
1.03/1.23	(step @p141 :rule symm :premises (@p140))
1.03/1.23	(step @p142 :rule eq_resolve :premises (@p139 @p141))
1.03/1.23	(step @p143 :rule cong :premises (@p142 @p137) :args (@t95))
1.03/1.23	(step @p144 :rule refl :args (@t72))
1.03/1.23	(step @p145 :rule cong :premises (@p144 @p143) :args (@t96))
1.03/1.23	; WARNING: add trust step for TRUST
1.03/1.23	; trust TRUST THEORY_LEMMA
1.03/1.23	(step @p146 :rule trust :premises () :args (@t96))
1.03/1.23	(step @p147 :rule eq_resolve :premises (@p146 @p145))
1.03/1.23	(step @p148 :rule implies_elim :premises (@p147))
1.03/1.23	(step @p149 :rule cnf_and_pos :args (@t93 1))
1.03/1.23	(step @p150 :rule reordering :premises (@p149) :args ((or @t86 (not @t93))))
1.03/1.23	(step @p151 :rule cnf_equiv_pos1 :args (@t97))
1.03/1.23	(step @p152 :rule reordering :premises (@p151) :args ((or @t88 @t93 (not @t97))))
1.03/1.23	(step @p153 :rule chain_resolution :premises (@p152 @p150 @p148 @p136 @p135 @p129 @p116 @p127) :args ((@list true false true false false true true) (@list @t93 @t97 @t86 @t87 @t72 @t78 @t77)))
1.03/1.23	(step @p154 :rule factoring :premises (@p153))
1.03/1.23	(step @p155 :rule chain_resolution :premises (@p154 @p125) :args (@t84 (@list @t89)))
1.03/1.23	(step @p156 :rule factoring :premises (@p155))
1.03/1.23	(step @p157 :rule refl :args (@t103))
1.03/1.23	(step @p158 :rule bool-double-not-elim :args (@t75))
1.03/1.23	(step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t104) @t103)))
1.03/1.23	(assume-push @p425 @t104)
1.03/1.23	(step @p161 :rule skolemize :premises (@p425))
1.03/1.23	(step-pop @p425 :rule scope :premises (@p161))
1.03/1.23	(step @p162 :rule process_scope :premises (@p425) :args (@t103))
1.03/1.23	(step @p164 :rule implies_elim :premises (@p162))
1.03/1.23	(step @p165 :rule eq_resolve :premises (@p164 @p159))
1.03/1.23	(step @p166 :rule cnf_and_pos :args (@t77 1))
1.03/1.23	(step @p167 :rule reordering :premises (@p166) :args ((or @t75 @t92)))
1.03/1.23	(step @p168 :rule bool-double-not-elim :args (@t100))
1.03/1.23	(step @p169 :rule refl :args (@t102))
1.03/1.23	(step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t102 (not @t101))))
1.03/1.23	(step @p171 :rule cnf_or_neg :args (@t102 0))
1.03/1.23	(step @p172 :rule eq_resolve :premises (@p171 @p170))
1.03/1.23	(step @p173 :rule reordering :premises (@p172) :args ((or @t100 @t102)))
1.03/1.23	(step @p174 :rule cnf_or_neg :args (@t102 1))
1.03/1.23	(step @p175 :rule cnf_and_pos :args (@t105 0))
1.03/1.23	(step @p176 :rule reordering :premises (@p175) :args ((or @t99 (not @t105))))
1.03/1.23	(step @p177 :rule eq-symm :args (@t106 @t68))
1.03/1.23	(step @p178 :rule beta-reduce :args ((= @t107 @t68)))
1.03/1.23	(step @p179 :rule refl :args (@t106))
1.03/1.23	(step @p180 :rule cong :premises (@p179 @p178) :args (@t108))
1.03/1.23	(step @p181 :rule trans :premises (@p180 @p177))
1.03/1.23	(step @p182 :rule cong :premises (@p181) :args (@t109))
1.03/1.23	(step @p183 :rule quant-unused-vars :args ((= (forall @t6 true) true)))
1.03/1.23	(step @p184 :rule eq-refl :args (@t107))
1.03/1.23	(step @p185 :rule cong :premises (@p184) :args ((forall @t6 (= @t107 @t107))))
1.03/1.23	(step @p186 :rule trans :premises (@p185 @p183))
1.03/1.23	(step @p187 :rule refl :args (@t107))
1.03/1.23	(step @p188 :rule refl :args (@t1))
1.03/1.23	(step @p189 :rule ho_cong :premises (@p97 @p188))
1.03/1.23	(step @p190 :rule cong :premises (@p189 @p187) :args (@t108))
1.03/1.23	(step @p191 :rule cong :premises (@p190) :args (@t109))
1.03/1.23	(step @p192 :rule trans :premises (@p191 @p186))
1.03/1.23	(step @p193 :rule true_elim :premises (@p192))
1.03/1.23	(step @p194 :rule eq_resolve :premises (@p193 @p182))
1.03/1.23	(step @p195 :rule instantiate :premises (@p194) :args ((@list @t98)))
1.03/1.23	(step @p196 :rule cnf_equiv_pos2 :args (@t111))
1.03/1.23	(step @p197 :rule reordering :premises (@p196) :args ((or @t105 (not @t110) (not @t111))))
1.03/1.23	(assume-push @p427 @t72)
1.03/1.23	(assume-push @p428 @t100)
1.03/1.23	(assume-push @p429 @t100)
1.03/1.23	(assume-push @p430 @t72)
1.03/1.23	(step @p202 :rule true_intro :premises (@p428))
1.03/1.23	(step @p203 :rule refl :args (@t98))
1.03/1.23	(step @p204 :rule symm :premises (@p427))
1.03/1.23	(step @p205 :rule ho_cong :premises (@p204 @p203))
1.03/1.23	(step @p206 :rule trans :premises (@p205 @p202))
1.03/1.23	(step @p207 :rule true_elim :premises (@p206))
1.03/1.23	(step-pop @p430 :rule scope :premises (@p207))
1.03/1.23	(step-pop @p431 :rule scope :premises (@p430))
1.03/1.23	(step @p208 :rule process_scope :premises (@p431) :args (@t110))
1.03/1.23	(step @p211 :rule and_intro :premises (@p428 @p427))
1.03/1.23	(step @p212 :rule modus_ponens :premises (@p211 @p208))
1.03/1.23	(step-pop @p432 :rule scope :premises (@p212))
1.03/1.23	(step-pop @p433 :rule scope :premises (@p432))
1.03/1.23	(step @p213 :rule process_scope :premises (@p433) :args (@t110))
1.03/1.23	(step @p216 :rule implies_elim :premises (@p213))
1.03/1.23	(step @p217 :rule cnf_and_neg :args (@t112))
1.03/1.23	(step @p218 :rule resolution :premises (@p217 @p216) :args (true @t112))
1.03/1.23	(step @p219 :rule chain_resolution :premises (@p218 @p197 @p195 @p176 @p174 @p173 @p129 @p116 @p167) :args ((@list true false true true false false true true) (@list @t110 @t111 @t105 @t99 @t100 @t72 @t78 @t77)))
1.03/1.23	(step @p220 :rule factoring :premises (@p219))
1.03/1.23	(step @p221 :rule chain_resolution :premises (@p220 @p165) :args (@t84 (@list @t102)))
1.03/1.23	(step @p222 :rule factoring :premises (@p221))
1.03/1.23	(step @p223 :rule aci_norm :args ((= (or @t118 @t116 false @t114) @t119)))
1.03/1.23	(step @p224 :rule refl :args (@t114))
1.03/1.23	(step @p225 :rule evaluate :args ((not true)))
1.03/1.23	(step @p226 :rule eq-refl :args (@t113))
1.03/1.23	(step @p227 :rule beta-reduce :args ((= @t123 @t120)))
1.03/1.23	(step @p228 :rule trans :premises (@p227 @p226))
1.03/1.23	(step @p229 :rule cong :premises (@p228) :args (@t124))
1.03/1.23	(step @p230 :rule trans :premises (@p229 @p225))
1.03/1.23	(step @p231 :rule aci_norm :args ((= (or false @t115) @t115)))
1.03/1.23	(step @p232 :rule refl :args (@t115))
1.03/1.23	(step @p233 :rule cong :premises (@p226) :args (@t125))
1.03/1.23	(step @p234 :rule trans :premises (@p233 @p225))
1.03/1.23	(step @p235 :rule nary_cong :premises (@p234 @p232) :args (@t126))
1.03/1.23	(step @p236 :rule trans :premises (@p235 @p231))
1.03/1.23	(step @p237 :rule quant-var-elim-eq :args ((= (forall @t6 @t129) @t126)))
1.03/1.23	(step @p238 :rule aci_norm :args ((= @t130 @t129)))
1.03/1.23	(step @p239 :rule cong :premises (@p238) :args ((forall @t6 @t130)))
1.03/1.23	(step @p240 :rule trans :premises (@p239 @p237))
1.03/1.23	(step @p241 :rule trans :premises (@p240 @p236))
1.03/1.23	(step @p242 :rule refl :args (@t67))
1.03/1.23	(step @p243 :rule beta-reduce :args ((= @t131 @t127)))
1.03/1.23	(step @p244 :rule cong :premises (@p243) :args (@t132))
1.03/1.23	(step @p245 :rule nary_cong :premises (@p244 @p242) :args (@t133))
1.03/1.23	(step @p246 :rule cong :premises (@p245) :args (@t134))
1.03/1.23	(step @p247 :rule trans :premises (@p246 @p241))
1.03/1.23	(step @p248 :rule cong :premises (@p247) :args (@t135))
1.03/1.23	(step @p249 :rule aci_norm :args ((= (or false @t117) @t117)))
1.03/1.23	(step @p250 :rule refl :args (@t117))
1.03/1.23	(step @p251 :rule nary_cong :premises (@p234 @p250) :args (@t136))
1.03/1.23	(step @p252 :rule trans :premises (@p251 @p249))
1.03/1.23	(step @p253 :rule quant-var-elim-eq :args ((= (forall @t6 @t137) @t136)))
1.03/1.23	(step @p254 :rule aci_norm :args ((= @t138 @t137)))
1.03/1.23	(step @p255 :rule cong :premises (@p254) :args ((forall @t6 @t138)))
1.03/1.23	(step @p256 :rule trans :premises (@p255 @p253))
1.03/1.23	(step @p257 :rule trans :premises (@p256 @p252))
1.03/1.23	(step @p258 :rule refl :args (@t65))
1.03/1.23	(step @p259 :rule nary_cong :premises (@p244 @p258) :args (@t139))
1.03/1.23	(step @p260 :rule cong :premises (@p259) :args (@t140))
1.03/1.23	(step @p261 :rule trans :premises (@p260 @p257))
1.03/1.23	(step @p262 :rule cong :premises (@p261) :args (@t141))
1.03/1.23	(step @p263 :rule nary_cong :premises (@p262 @p248 @p230 @p224) :args (@t142))
1.03/1.23	(step @p264 :rule trans :premises (@p263 @p223))
1.03/1.23	(step @p265 :rule refl :args (@t76))
1.03/1.23	(step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t76 @t142)))
1.03/1.23	(assume-push @p435 @t76)
1.03/1.23	(step @p268 :rule instantiate :premises (@p435) :args ((@list @t122 @t113)))
1.03/1.23	(step-pop @p435 :rule scope :premises (@p268))
1.03/1.23	(step @p269 :rule process_scope :premises (@p435) :args (@t142))
1.03/1.23	(step @p271 :rule eq_resolve :premises (@p269 @p266))
1.03/1.23	(step @p272 :rule implies_elim :premises (@p271))
1.03/1.23	(assume-push @p437 @t75)
1.03/1.23	(step @p274 :rule instantiate :premises (@p437) :args (@t143))
1.03/1.23	(step-pop @p437 :rule scope :premises (@p274))
1.03/1.23	(step @p275 :rule process_scope :premises (@p437) :args (@t145))
1.03/1.23	(step @p277 :rule implies_elim :premises (@p275))
1.03/1.23	(step @p278 :rule cnf_and_neg :args (@t77))
1.03/1.23	(assume-push @p439 @t74)
1.03/1.23	(step @p280 :rule instantiate :premises (@p439) :args (@t143))
1.03/1.23	(step-pop @p439 :rule scope :premises (@p280))
1.03/1.23	(step @p281 :rule process_scope :premises (@p439) :args (@t146))
1.03/1.23	(step @p283 :rule implies_elim :premises (@p281))
1.03/1.23	(step @p284 :rule cnf_equiv_neg2 :args (@t78))
1.03/1.23	(step @p285 :rule eq-refl :args (@t147))
1.03/1.23	(step @p286 :rule beta-reduce :args ((= @t148 @t147)))
1.03/1.23	(step @p287 :rule refl :args (@t147))
1.03/1.23	(step @p288 :rule cong :premises (@p287 @p286) :args ((= @t147 @t148)))
1.03/1.23	(step @p289 :rule trans :premises (@p288 @p285))
1.03/1.23	(step @p290 :rule eq-symm :args (@t148 @t147))
1.03/1.23	(step @p291 :rule trans :premises (@p290 @p289))
1.03/1.23	(step @p292 :rule refl :args (@t113))
1.03/1.23	(step @p293 :rule ho_cong :premises (@p97 @p292))
1.03/1.23	(step @p294 :rule cong :premises (@p293 @p287) :args ((= @t149 @t147)))
1.03/1.23	(step @p295 :rule trans :premises (@p294 @p291))
1.03/1.23	(step @p296 :rule true_elim :premises (@p295))
1.03/1.23	(step @p297 :rule cong :premises (@p224 @p296) :args (@t150))
1.03/1.23	(step @p298 :rule cong :premises (@p297) :args (@t151))
1.03/1.23	(step @p299 :rule nary_cong :premises (@p144 @p298) :args (@t152))
1.03/1.23	; trust TRUST THEORY_LEMMA
1.03/1.23	(step @p300 :rule trust :premises () :args (@t152))
1.03/1.23	(step @p301 :rule eq_resolve :premises (@p300 @p299))
1.03/1.23	(step @p302 :rule cnf_equiv_neg2 :args (@t153))
1.03/1.23	(step @p303 :rule cnf_or_pos :args (@t145))
1.03/1.23	(step @p304 :rule reordering :premises (@p303) :args ((or @t115 @t144 @t154)))
1.03/1.23	(step @p305 :rule cnf_or_pos :args (@t146))
1.03/1.23	(step @p306 :rule reordering :premises (@p305) :args ((or @t117 @t144 @t155)))
1.03/1.23	(step @p307 :rule cnf_and_neg :args (@t147))
1.03/1.23	(step @p308 :rule chain_resolution :premises (@p307 @p306 @p304 @p302) :args ((@list false false true) (@list @t117 @t115 @t147)))
1.03/1.23	(step @p309 :rule factoring :premises (@p308))
1.03/1.23	(step @p310 :rule reordering :premises (@p309) :args ((or @t153 @t144 @t154 @t155)))
1.03/1.23	(step @p311 :rule cnf_equiv_neg1 :args (@t153))
1.03/1.23	(step @p312 :rule reordering :premises (@p311) :args ((or @t114 @t147 @t153)))
1.03/1.23	(step @p313 :rule cnf_and_pos :args (@t147 0))
1.03/1.23	(step @p314 :rule reordering :premises (@p313) :args ((or @t115 @t156)))
1.03/1.23	(step @p315 :rule cnf_and_pos :args (@t147 1))
1.03/1.23	(step @p316 :rule reordering :premises (@p315) :args ((or @t117 @t156)))
1.03/1.23	(step @p317 :rule cnf_or_pos :args (@t119))
1.03/1.23	(step @p318 :rule reordering :premises (@p317) :args ((or @t114 @t116 @t118 (not @t119))))
1.03/1.23	(step @p319 :rule chain_resolution :premises (@p318 @p316 @p314) :args (@t157 (@list @t117 @t115)))
1.03/1.23	(step @p320 :rule factoring :premises (@p319))
1.03/1.23	(step @p321 :rule chain_resolution :premises (@p320 @p312) :args (@t158 (@list @t147)))
1.03/1.23	(step @p322 :rule factoring :premises (@p321))
1.03/1.23	(step @p323 :rule chain_resolution :premises (@p322 @p310) :args (@t84 (@list @t114)))
1.03/1.23	(step @p324 :rule factoring :premises (@p323))
1.03/1.23	(step @p325 :rule chain_resolution :premises (@p324 @p301 @p284 @p116 @p283 @p278 @p277 @p272) :args ((@list true true true false false false false) (@list @t153 @t72 @t78 @t146 @t77 @t145 @t119)))
1.03/1.23	(step @p326 :rule factoring :premises (@p325))
1.03/1.23	(step @p327 :rule reordering :premises (@p326) :args ((or @t159 @t104 @t91)))
1.03/1.23	(step @p328 :rule chain_resolution :premises (@p327 @p222 @p156) :args (@t157 (@list @t75 @t74)))
1.03/1.23	(step @p329 :rule cnf_and_pos :args (@t77 0))
1.03/1.23	(step @p330 :rule reordering :premises (@p329) :args ((or @t76 @t92)))
1.03/1.23	(step @p331 :rule chain_resolution :premises (@p330 @p328) :args (@t84 @t160))
1.03/1.23	(step @p332 :rule chain_resolution :premises (@p129 @p331 @p116) :args ((@list true true) (@list @t77 @t78)))
1.03/1.23	(step @p333 :rule refl :args (@t172))
1.03/1.23	(step @p334 :rule bool-double-not-elim :args (@t76))
1.03/1.23	(step @p335 :rule nary_cong :premises (@p334 @p333) :args ((or (not @t159) @t172)))
1.03/1.23	(assume-push @p441 @t159)
1.03/1.23	(step @p337 :rule skolemize :premises (@p441))
1.03/1.23	(step-pop @p441 :rule scope :premises (@p337))
1.03/1.23	(step @p338 :rule process_scope :premises (@p441) :args (@t172))
1.03/1.23	(step @p340 :rule implies_elim :premises (@p338))
1.03/1.23	(step @p341 :rule eq_resolve :premises (@p340 @p335))
1.03/1.23	(step @p342 :rule chain_resolution :premises (@p341 @p328) :args (@t84 @t160))
1.03/1.23	(step @p343 :rule cnf_or_neg :args (@t171 3))
1.03/1.23	(step @p344 :rule chain_resolution :premises (@p343 @p342) :args (@t84 @t173))
1.03/1.23	(step @p345 :rule instantiate :premises (@p194) :args (@t174))
1.03/1.23	(step @p346 :rule bool-double-not-elim :args (@t167))
1.03/1.23	(step @p347 :rule refl :args (@t171))
1.03/1.23	(step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t171 (not @t168))))
1.03/1.23	(step @p349 :rule cnf_or_neg :args (@t171 1))
1.03/1.23	(step @p350 :rule eq_resolve :premises (@p349 @p348))
1.03/1.23	(step @p351 :rule reordering :premises (@p350) :args ((or @t167 @t171)))
1.03/1.23	(step @p352 :rule chain_resolution :premises (@p351 @p342) :args (@t84 @t173))
1.03/1.23	(assume-push @p443 @t167)
1.03/1.23	(step @p354 :rule instantiate :premises (@p443) :args (@t174))
1.03/1.23	(step-pop @p443 :rule scope :premises (@p354))
1.03/1.23	(step @p355 :rule process_scope :premises (@p443) :args (@t176))
1.03/1.23	(step @p357 :rule implies_elim :premises (@p355))
1.03/1.23	(step @p358 :rule chain_resolution :premises (@p357 @p352) :args (@t158 (@list @t167)))
1.03/1.23	(step @p359 :rule bool-double-not-elim :args (@t164))
1.03/1.23	(step @p360 :rule nary_cong :premises (@p347 @p359) :args ((or @t171 (not @t165))))
1.03/1.23	(step @p361 :rule cnf_or_neg :args (@t171 2))
1.03/1.23	(step @p362 :rule eq_resolve :premises (@p361 @p360))
1.03/1.23	(step @p363 :rule reordering :premises (@p362) :args ((or @t164 @t171)))
1.03/1.23	(step @p364 :rule chain_resolution :premises (@p363 @p342) :args (@t84 @t173))
1.03/1.23	(step @p365 :rule cnf_or_pos :args (@t176))
1.03/1.23	(step @p366 :rule reordering :premises (@p365) :args ((or @t165 @t175 (not @t176))))
1.03/1.23	(step @p367 :rule chain_resolution :premises (@p366 @p364 @p358) :args (@t157 (@list @t164 @t176)))
1.03/1.23	(step @p368 :rule bool-double-not-elim :args (@t169))
1.03/1.23	(step @p369 :rule nary_cong :premises (@p347 @p368) :args ((or @t171 (not @t170))))
1.03/1.23	(step @p370 :rule cnf_or_neg :args (@t171 0))
1.03/1.23	(step @p371 :rule eq_resolve :premises (@p370 @p369))
1.03/1.23	(step @p372 :rule reordering :premises (@p371) :args ((or @t169 @t171)))
1.03/1.23	(step @p373 :rule chain_resolution :premises (@p372 @p342) :args (@t84 @t173))
1.03/1.23	(assume-push @p445 @t169)
1.03/1.23	(step @p375 :rule instantiate :premises (@p445) :args (@t174))
1.03/1.23	(step-pop @p445 :rule scope :premises (@p375))
1.03/1.23	(step @p376 :rule process_scope :premises (@p445) :args (@t178))
1.03/1.23	(step @p378 :rule implies_elim :premises (@p376))
1.03/1.23	(step @p379 :rule chain_resolution :premises (@p378 @p373) :args (@t158 (@list @t169)))
1.03/1.23	(step @p380 :rule cnf_or_pos :args (@t178))
1.03/1.23	(step @p381 :rule reordering :premises (@p380) :args ((or @t165 @t177 (not @t178))))
1.03/1.23	(step @p382 :rule chain_resolution :premises (@p381 @p364 @p379) :args (@t157 (@list @t164 @t178)))
1.03/1.23	(step @p383 :rule cnf_and_neg :args (@t179))
1.03/1.23	(step @p384 :rule reordering :premises (@p383) :args ((or (not @t177) (not @t175) @t179)))
1.03/1.23	(step @p385 :rule chain_resolution :premises (@p384 @p382 @p367) :args (@t157 (@list @t177 @t175)))
1.03/1.23	(step @p386 :rule cnf_equiv_pos1 :args (@t181))
1.03/1.23	(step @p387 :rule reordering :premises (@p386) :args ((or @t180 (not @t179) (not @t181))))
1.03/1.23	(step @p388 :rule chain_resolution :premises (@p387 @p385 @p345) :args (@t157 (@list @t179 @t181)))
1.03/1.23	(step @p389 :rule refl :args (@t182))
1.03/1.23	(step @p390 :rule bool-double-not-elim :args (@t162))
1.03/1.23	(step @p391 :rule refl :args (@t183))
1.03/1.23	(step @p392 :rule nary_cong :premises (@p391 @p390 @p389) :args ((or @t183 (not @t184) @t182)))
1.03/1.23	(assume-push @p447 @t180)
1.03/1.23	(assume-push @p448 @t72)
1.03/1.23	(assume-push @p449 @t184)
1.03/1.23	(step @p396 :rule evaluate :args ((= false true)))
1.03/1.23	(step @p397 :rule true_intro :premises (@p447))
1.03/1.23	(step @p398 :rule refl :args (@t161))
1.03/1.23	(step @p399 :rule ho_cong :premises (@p448 @p398))
1.03/1.23	(step @p400 :rule false_intro :premises (@p449))
1.03/1.23	(step @p401 :rule symm :premises (@p400))
1.03/1.23	(step @p402 :rule trans :premises (@p401 @p399 @p397))
1.03/1.23	(step @p403 false :rule eq_resolve :premises (@p402 @p396))
1.03/1.23	(step-pop @p449 :rule scope :premises (@p403))
1.03/1.23	(step-pop @p450 :rule scope :premises (@p449))
1.03/1.23	(step-pop @p451 :rule scope :premises (@p450))
1.03/1.23	(step @p404 :rule process_scope :premises (@p451) :args (false))
1.03/1.23	(assume-push @p453 @t72)
1.03/1.23	(assume-push @p454 @t184)
1.03/1.23	(assume-push @p455 @t180)
1.03/1.23	(step @p411 :rule and_intro :premises (@p455 @p453 @p454))
1.03/1.23	(step-pop @p455 :rule scope :premises (@p411))
1.03/1.23	(step-pop @p456 :rule scope :premises (@p455))
1.03/1.23	(step-pop @p457 :rule scope :premises (@p456))
1.03/1.23	(step @p412 :rule process_scope :premises (@p457) :args (@t185))
1.03/1.23	(step @p416 :rule implies_elim :premises (@p412))
1.03/1.23	(step @p417 :rule resolution :premises (@p416 @p404) :args (true @t185))
1.03/1.23	(step @p418 :rule not_and :premises (@p417))
1.03/1.23	(step @p419 :rule eq_resolve :premises (@p418 @p392))
1.03/1.23	(step @p420 false :rule chain_resolution :premises (@p419 @p388 @p344 @p332) :args ((@list false true false) (@list @t180 @t162 @t72)))
1.03/1.23	)
1.03/1.23	% SZS output end Proof
1.03/1.23	% cvc5 exiting
1.09/1.23	EOF