0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n029.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1920
0.13/0.34	% WCLimit  : 240
0.13/0.34	% DateTime : Fri Sep  5 20:52:07 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.49	%----Proving TH0
160.28/160.68	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
160.28/160.68	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
160.28/160.68	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
160.28/160.68	--- Run --ho-elim --full-saturate-quant at 14s...
160.28/160.68	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
160.28/160.68	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
160.28/160.68	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
160.28/160.68	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
160.28/160.68	--- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 16s...
160.28/160.68	% SZS status Theorem
160.28/160.68	% SZS output start Proof
160.28/160.68	(
160.28/160.68	(declare-type tptp.a ())
160.28/160.68	(declare-const tptp.cX (-> tptp.a Bool))
160.28/160.68	(define @t1 () (@var "Xx" tptp.a))
160.28/160.68	(define @t2 () (@var "S" (-> tptp.a Bool)))
160.28/160.68	(define @t3 () (_ @t2 @t1))
160.28/160.68	(define @t4 () (@var "Xx0" tptp.a))
160.28/160.68	(define @t5 () (_ tptp.cX @t4))
160.28/160.68	(define @t6 () (_ @t2 @t4))
160.28/160.68	(define @t7 () (@list @t4))
160.28/160.68	(define @t8 () (forall @t7 (=> @t6 @t5)))
160.28/160.68	(define @t9 () (@var "X0" (-> (-> tptp.a Bool) Bool)))
160.28/160.68	(define @t10 () (_ @t9 @t2))
160.28/160.68	(define @t11 () (@var "Xy" tptp.a))
160.28/160.68	(define @t12 () (lambda (@list @t11) false))
160.28/160.68	(define @t13 () (@var "Xz" tptp.a))
160.28/160.68	(define @t14 () (@var "Xt" tptp.a))
160.28/160.68	(define @t15 () (= @t14 @t13))
160.28/160.68	(define @t16 () (@var "Xx0" (-> tptp.a Bool)))
160.28/160.68	(define @t17 () (_ @t16 @t13))
160.28/160.68	(define @t18 () (or @t17 @t15))
160.28/160.68	(define @t19 () (@list @t13))
160.28/160.68	(define @t20 () (lambda @t19 @t18))
160.28/160.68	(define @t21 () (_ @t9 @t20))
160.28/160.68	(define @t22 () (_ @t2 @t14))
160.28/160.68	(define @t23 () (@list @t14))
160.28/160.68	(define @t24 () (forall @t23 (=> @t22 @t21)))
160.28/160.68	(define @t25 () (_ @t9 @t16))
160.28/160.68	(define @t26 () (=> @t25 @t24))
160.28/160.68	(define @t27 () (@list @t16))
160.28/160.68	(define @t28 () (forall @t27 @t26))
160.28/160.68	(define @t29 () (and @t28 (_ @t9 @t12)))
160.28/160.68	(define @t30 () (=> @t29 @t10))
160.28/160.68	(define @t31 () (@list @t9))
160.28/160.68	(define @t32 () (forall @t31 @t30))
160.28/160.68	(define @t33 () (and @t32 @t8 @t3))
160.28/160.68	(define @t34 () (@list @t2))
160.28/160.68	(define @t35 () (exists @t34 @t33))
160.28/160.68	(define @t36 () (@list @t1))
160.28/160.68	(define @t37 () (lambda @t36 @t35))
160.28/160.68	(define @t38 () (= tptp.cX @t37))
160.28/160.68	(define @t39 () (not @t38))
160.28/160.68	(define @t40 () (_ @t2 @t1))
160.28/160.68	(define @t41 () (tptp.cX @t4))
160.28/160.68	(define @t42 () (_ @t2 @t4))
160.28/160.68	(define @t43 () (forall @t7 (or (not @t42) @t41)))
160.28/160.68	(define @t44 () (not @t43))
160.28/160.68	(define @t45 () (_ @t9 @t2))
160.28/160.68	(define @t46 () (@var "BOUND_VARIABLE_7709" tptp.a))
160.28/160.68	(define @t47 () (lambda (@list @t46) false))
160.28/160.68	(define @t48 () (_ @t9 @t47))
160.28/160.68	(define @t49 () (not @t48))
160.28/160.68	(define @t50 () (@var "BOUND_VARIABLE_7337" tptp.a))
160.28/160.68	(define @t51 () (_ @t16 @t13))
160.28/160.68	(define @t52 () (lambda @t19 (or @t51 (= @t13 @t50))))
160.28/160.68	(define @t53 () (_ @t9 @t52))
160.28/160.68	(define @t54 () (not (_ @t2 @t50)))
160.28/160.68	(define @t55 () (_ @t9 @t16))
160.28/160.68	(define @t56 () (not @t55))
160.28/160.68	(define @t57 () (@list @t16 @t50))
160.28/160.68	(define @t58 () (forall @t57 (or @t56 @t54 @t53)))
160.28/160.68	(define @t59 () (not @t58))
160.28/160.68	(define @t60 () (forall @t31 (or @t59 @t49 @t45)))
160.28/160.68	(define @t61 () (not @t60))
160.28/160.68	(define @t62 () (lambda @t36 (not (forall @t34 (or @t61 @t44 (not @t40))))))
160.28/160.68	(define @t63 () (@purify @t62))
160.28/160.68	(define @t64 () (= tptp.cX @t62))
160.28/160.68	(define @t65 () (not @t3))
160.28/160.68	(define @t66 () (or @t61 @t44 @t65))
160.28/160.68	(define @t67 () (and @t60 @t43 @t3))
160.28/160.68	(define @t68 () (forall @t34 (not @t67)))
160.28/160.68	(define @t69 () (not @t68))
160.28/160.68	(define @t70 () (not @t6))
160.28/160.68	(define @t71 () (or @t70 @t5))
160.28/160.68	(define @t72 () (_ @t9 @t47))
160.28/160.68	(define @t73 () (not @t72))
160.28/160.68	(define @t74 () (or @t59 @t73 @t10))
160.28/160.68	(define @t75 () (and @t58 @t72))
160.28/160.68	(define @t76 () (or @t51 (= @t50 @t13)))
160.28/160.68	(define @t77 () (lambda @t19 @t76))
160.28/160.68	(define @t78 () (_ @t9 @t77))
160.28/160.68	(define @t79 () (or @t56 @t54 @t78))
160.28/160.68	(define @t80 () (or @t54 @t78))
160.28/160.68	(define @t81 () (or @t56 @t80))
160.28/160.68	(define @t82 () (forall @t57 @t81))
160.28/160.68	(define @t83 () (@list @t50))
160.28/160.68	(define @t84 () (forall @t83 @t81))
160.28/160.68	(define @t85 () (forall @t83 @t80))
160.28/160.68	(define @t86 () (or @t56 @t85))
160.28/160.68	(define @t87 () (or @t51 @t15))
160.28/160.68	(define @t88 () (lambda @t19 @t87))
160.28/160.68	(define @t89 () (_ @t9 @t88))
160.28/160.68	(define @t90 () (_ @t2 @t14))
160.28/160.68	(define @t91 () (forall @t23 (or (not @t90) @t89)))
160.28/160.68	(define @t92 () (not @t25))
160.28/160.68	(define @t93 () (or @t92 @t91))
160.28/160.68	(define @t94 () (not @t22))
160.28/160.68	(define @t95 () (or @t94 @t21))
160.28/160.68	(define @t96 () (@const 0 tptp.a))
160.28/160.68	(define @t97 () (forall @t34 (or @t61 @t44 (not (_ @t2 @t96)))))
160.28/160.68	(define @t98 () (not @t97))
160.28/160.68	(define @t99 () (= (_ @t62 @t96) @t98))
160.28/160.68	(define @t100 () (_ @t63 @t96))
160.28/160.68	(define @t101 () (tptp.cX @t96))
160.28/160.68	(define @t102 () (= @t101 @t100))
160.28/160.68	(define @t103 () (not @t102))
160.28/160.68	(define @t104 () (= tptp.cX @t63))
160.28/160.68	(define @t105 () (or @t104 @t103))
160.28/160.68	(define @t106 () (@list true))
160.28/160.68	(define @t107 () (not @t101))
160.28/160.68	(define @t108 () (= @t101 @t98))
160.28/160.68	(define @t109 () (not @t98))
160.28/160.68	(define @t110 () (= @t13 @t96))
160.28/160.68	(define @t111 () (@purify @t47))
160.28/160.68	(define @t112 () (or (_ @t111 @t13) @t110))
160.28/160.68	(define @t113 () (lambda @t19 @t112))
160.28/160.68	(define @t114 () (@purify @t113))
160.28/160.68	(define @t115 () (_ @t114 @t96))
160.28/160.68	(define @t116 () (not @t115))
160.28/160.68	(define @t117 () (forall @t7 (or (not (_ @t114 @t4)) @t41)))
160.28/160.68	(define @t118 () (not @t117))
160.28/160.68	(define @t119 () (not (_ @t114 @t50)))
160.28/160.68	(define @t120 () (forall @t31 (or (not (forall @t57 (or @t56 @t119 @t53))) @t49 (_ @t9 @t114))))
160.28/160.68	(define @t121 () (not @t120))
160.28/160.68	(define @t122 () (or @t121 @t118 @t116))
160.28/160.68	(define @t123 () (_ @t114 @t13))
160.28/160.68	(define @t124 () (_ @t113 @t13))
160.28/160.68	(define @t125 () (= @t123 @t124))
160.28/160.68	(define @t126 () (forall @t19 @t125))
160.28/160.68	(define @t127 () (_ @t111 @t96))
160.28/160.68	(define @t128 () (or @t127 (= @t96 @t96)))
160.28/160.68	(define @t129 () (= @t128 @t115))
160.28/160.68	(define @t130 () (forall @t19 (= @t112 @t123)))
160.28/160.68	(define @t131 () (@list @t96))
160.28/160.68	(define @t132 () (@list false))
160.28/160.68	(define @t133 () (@list @t130))
160.28/160.68	(define @t134 () (@quantifiers_skolemize @t120 0))
160.28/160.68	(define @t135 () (forall @t57 (or (not (_ @t134 @t16)) @t119 (_ @t134 @t52))))
160.28/160.68	(define @t136 () (_ @t134 @t114))
160.28/160.68	(define @t137 () (_ @t134 @t111))
160.28/160.68	(define @t138 () (not @t137))
160.28/160.68	(define @t139 () (not @t135))
160.28/160.68	(define @t140 () (or @t139 @t138 @t136))
160.28/160.68	(define @t141 () (_ @t134 @t113))
160.28/160.68	(define @t142 () (or @t138 @t116 @t141))
160.28/160.68	(define @t143 () (or @t138 @t116 @t136))
160.28/160.68	(define @t144 () (not @t140))
160.28/160.68	(define @t145 () (_ @t134 @t47))
160.28/160.68	(define @t146 () (not @t145))
160.28/160.68	(define @t147 () (or @t139 @t146 @t136))
160.28/160.68	(define @t148 () (not @t147))
160.28/160.68	(define @t149 () (@quantifiers_skolemize @t117 0))
160.28/160.68	(define @t150 () (tptp.cX @t149))
160.28/160.68	(define @t151 () (_ @t114 @t149))
160.28/160.68	(define @t152 () (not @t151))
160.28/160.68	(define @t153 () (or @t152 @t150))
160.28/160.68	(define @t154 () (not @t153))
160.28/160.68	(define @t155 () (= @t96 @t149))
160.28/160.68	(define @t156 () (_ @t47 @t149))
160.28/160.68	(define @t157 () (_ @t111 @t149))
160.28/160.68	(define @t158 () (or @t157 @t155))
160.28/160.68	(define @t159 () (= @t151 @t158))
160.28/160.68	(define @t160 () (or @t157 (= @t149 @t96)))
160.28/160.68	(define @t161 () (= @t160 @t151))
160.28/160.68	(define @t162 () (= @t151 @t155))
160.28/160.68	(define @t163 () (not @t155))
160.28/160.68	(define @t164 () (not @t150))
160.28/160.68	(define @t165 () (and @t101 @t155 @t164))
160.28/160.68	(define @t166 () (@quantifiers_skolemize @t97 0))
160.28/160.68	(define @t167 () (_ @t166 @t96))
160.28/160.68	(define @t168 () (not @t167))
160.28/160.68	(define @t169 () (forall @t7 (or (not (_ @t166 @t4)) @t41)))
160.28/160.68	(define @t170 () (not @t169))
160.28/160.68	(define @t171 () (or (not (forall @t31 (or (not (forall @t57 (or @t56 (not (_ @t166 @t50)) @t53))) @t49 (_ @t9 @t166)))) @t170 @t168))
160.28/160.68	(define @t172 () (not @t171))
160.28/160.68	(define @t173 () (@list @t171))
160.28/160.68	(define @t174 () (or @t168 @t101))
160.28/160.68	(define @t175 () (@list true false))
160.28/160.68	(assume @p1 @t39)
160.28/160.68	(assume @p2 true)
160.28/160.68	(step @p3 :rule eq-refl :args (@t62))
160.28/160.68	(step @p4 :rule skolem_intro :args (@t63))
160.28/160.68	(step @p5 :rule refl :args (@t62))
160.28/160.68	(step @p6 :rule cong :premises (@p5 @p4) :args ((= @t62 @t63)))
160.28/160.68	(step @p7 :rule trans :premises (@p6 @p3))
160.28/160.68	(step @p8 :rule true_elim :premises (@p7))
160.28/160.68	(step @p9 :rule refl :args (tptp.cX))
160.28/160.68	(step @p10 :rule cong :premises (@p9 @p8) :args (@t64))
160.28/160.68	(step @p11 :rule cong :premises (@p10) :args ((not @t64)))
160.28/160.68	(step @p12 :rule refl :args (@t40))
160.28/160.68	(step @p13 :rule refl :args (@t3))
160.28/160.68	(step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t40)))
160.28/160.68	(step @p15 :rule symm :premises (@p14))
160.28/160.68	(step @p16 :rule eq_resolve :premises (@p13 @p15))
160.28/160.68	(step @p17 :rule cong :premises (@p16) :args (@t65))
160.28/160.68	(step @p18 :rule refl :args (@t44))
160.28/160.68	(step @p19 :rule refl :args (@t61))
160.28/160.68	(step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args (@t66))
160.28/160.68	(step @p21 :rule cong :premises (@p20) :args ((forall @t34 @t66)))
160.28/160.68	(step @p22 :rule aci_norm :args ((= (or @t61 (or @t44 @t65)) @t66)))
160.28/160.68	(step @p23 :rule bool-and-de-morgan :args (@t43 @t3 true))
160.28/160.68	(step @p24 :rule nary_cong :premises (@p19 @p23) :args ((or @t61 (not (and @t43 @t3)))))
160.28/160.68	(step @p25 :rule bool-and-de-morgan :args (@t60 @t43 (and @t3)))
160.28/160.68	(step @p26 :rule trans :premises (@p25 @p24))
160.28/160.68	(step @p27 :rule trans :premises (@p26 @p22))
160.28/160.68	(step @p28 :rule cong :premises (@p27) :args (@t68))
160.28/160.68	(step @p29 :rule trans :premises (@p28 @p21))
160.28/160.68	(step @p30 :rule cong :premises (@p29) :args (@t69))
160.28/160.68	(step @p31 :rule exists-elim :args ((= (exists @t34 @t67) @t69)))
160.28/160.68	(step @p32 :rule trans :premises (@p31 @p30))
160.28/160.68	(step @p33 :rule refl :args (@t3))
160.28/160.68	(step @p34 :rule refl :args (@t41))
160.28/160.68	(step @p35 :rule refl :args (@t5))
160.28/160.68	(step @p36 :rule cong :premises (@p35 @p34) :args ((= @t5 @t41)))
160.28/160.68	(step @p37 :rule symm :premises (@p36))
160.28/160.68	(step @p38 :rule eq_resolve :premises (@p35 @p37))
160.28/160.68	(step @p39 :rule refl :args (@t42))
160.28/160.68	(step @p40 :rule refl :args (@t6))
160.28/160.68	(step @p41 :rule cong :premises (@p40 @p39) :args ((= @t6 @t42)))
160.28/160.68	(step @p42 :rule symm :premises (@p41))
160.28/160.68	(step @p43 :rule eq_resolve :premises (@p40 @p42))
160.28/160.68	(step @p44 :rule cong :premises (@p43) :args (@t70))
160.28/160.68	(step @p45 :rule nary_cong :premises (@p44 @p38) :args (@t71))
160.28/160.68	(step @p46 :rule cong :premises (@p45) :args ((forall @t7 @t71)))
160.28/160.68	(step @p47 :rule bool-impl-elim :args (@t6 @t5))
160.28/160.68	(step @p48 :rule cong :premises (@p47) :args (@t8))
160.28/160.68	(step @p49 :rule trans :premises (@p48 @p46))
160.28/160.68	(step @p50 :rule refl :args (@t45))
160.28/160.68	(step @p51 :rule refl :args (@t10))
160.28/160.68	(step @p52 :rule cong :premises (@p51 @p50) :args ((= @t10 @t45)))
160.28/160.68	(step @p53 :rule symm :premises (@p52))
160.28/160.68	(step @p54 :rule eq_resolve :premises (@p51 @p53))
160.28/160.68	(step @p55 :rule refl :args ((_ @t9 @t47)))
160.28/160.68	(step @p56 :rule refl :args (@t47))
160.28/160.68	(step @p57 :rule cong :premises (@p56) :args (@t48))
160.28/160.68	(step @p58 :rule trans :premises (@p57 @p55))
160.28/160.68	(step @p59 :rule refl :args (@t9))
160.28/160.68	(step @p60 :rule ho_cong :premises (@p59 @p56))
160.28/160.68	(step @p61 :rule cong :premises (@p60 @p58) :args ((= @t72 @t48)))
160.28/160.68	(step @p62 :rule symm :premises (@p61))
160.28/160.68	(step @p63 :rule refl :args ((_ @t9 @t47)))
160.28/160.68	(step @p64 :rule eq_resolve :premises (@p63 @p62))
160.28/160.68	(step @p65 :rule cong :premises (@p64) :args (@t73))
160.28/160.68	(step @p66 :rule refl :args (@t59))
160.28/160.68	(step @p67 :rule nary_cong :premises (@p66 @p65 @p54) :args (@t74))
160.28/160.68	(step @p68 :rule cong :premises (@p67) :args ((forall @t31 @t74)))
160.28/160.68	(step @p69 :rule aci_norm :args ((= (or (or @t59 @t73) @t10) @t74)))
160.28/160.68	(step @p70 :rule bool-and-de-morgan :args (@t58 @t72 true))
160.28/160.68	(step @p71 :rule nary_cong :premises (@p70 @p51) :args ((or (not @t75) @t10)))
160.28/160.68	(step @p72 :rule trans :premises (@p71 @p69))
160.28/160.68	(step @p73 :rule bool-impl-elim :args (@t75 @t10))
160.28/160.68	(step @p74 :rule trans :premises (@p73 @p72))
160.28/160.68	(step @p75 :rule cong :premises (@p74) :args ((forall @t31 (=> @t75 @t10))))
160.28/160.68	(step @p76 :rule trans :premises (@p75 @p68))
160.28/160.68	(step @p77 :rule refl :args (@t10))
160.28/160.68	(step @p78 :rule symm :premises (@p56))
160.28/160.68	(step @p79 :rule alpha_equiv :args (@t12 (@list @t11) (@list @t46)))
160.28/160.68	(step @p80 :rule trans :premises (@p79 @p78))
160.28/160.68	(step @p81 :rule refl :args (@t9))
160.28/160.68	(step @p82 :rule ho_cong :premises (@p81 @p80))
160.28/160.68	(step @p83 :rule eq-symm :args (@t50 @t13))
160.28/160.68	(step @p84 :rule refl :args (@t51))
160.28/160.68	(step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t76))
160.28/160.68	(step @p86 :rule cong :premises (@p85) :args (@t77))
160.28/160.68	(step @p87 :rule cong :premises (@p86) :args (@t78))
160.28/160.68	(step @p88 :rule refl :args (@t54))
160.28/160.68	(step @p89 :rule refl :args (@t56))
160.28/160.68	(step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args (@t79))
160.28/160.68	(step @p91 :rule aci_norm :args ((= @t81 @t79)))
160.28/160.68	(step @p92 :rule trans :premises (@p91 @p90))
160.28/160.68	(step @p93 :rule cong :premises (@p92) :args (@t82))
160.28/160.68	(step @p94 :rule quant-merge-prenex :args ((= (forall @t27 @t84) @t82)))
160.28/160.68	(step @p95 :rule alpha_equiv :args (@t85 (@list @t50) (@list @t14)))
160.28/160.68	(step @p96 :rule refl :args (@t56))
160.28/160.68	(step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t86))
160.28/160.68	(step @p98 :rule quant-miniscope-or :args ((= @t84 @t86)))
160.28/160.68	(step @p99 :rule trans :premises (@p98 @p97))
160.28/160.68	(step @p100 :rule symm :premises (@p99))
160.28/160.68	(step @p101 :rule cong :premises (@p100) :args ((forall @t27 (or @t56 @t91))))
160.28/160.68	(step @p102 :rule trans :premises (@p101 @p94))
160.28/160.68	(step @p103 :rule trans :premises (@p102 @p93))
160.28/160.68	(step @p104 :rule refl :args (@t91))
160.28/160.68	(step @p105 :rule refl :args (@t55))
160.28/160.68	(step @p106 :rule refl :args (@t25))
160.28/160.68	(step @p107 :rule cong :premises (@p106 @p105) :args ((= @t25 @t55)))
160.28/160.68	(step @p108 :rule symm :premises (@p107))
160.28/160.68	(step @p109 :rule eq_resolve :premises (@p106 @p108))
160.28/160.68	(step @p110 :rule cong :premises (@p109) :args (@t92))
160.28/160.68	(step @p111 :rule nary_cong :premises (@p110 @p104) :args (@t93))
160.28/160.68	(step @p112 :rule cong :premises (@p111) :args ((forall @t27 @t93)))
160.28/160.68	(step @p113 :rule trans :premises (@p112 @p103))
160.28/160.68	(step @p114 :rule bool-impl-elim :args (@t25 @t91))
160.28/160.68	(step @p115 :rule cong :premises (@p114) :args ((forall @t27 (=> @t25 @t91))))
160.28/160.68	(step @p116 :rule trans :premises (@p115 @p113))
160.28/160.68	(step @p117 :rule refl :args ((_ @t9 @t20)))
160.28/160.68	(step @p118 :rule refl :args (@t15))
160.28/160.68	(step @p119 :rule refl :args (@t51))
160.28/160.68	(step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t87))
160.28/160.68	(step @p121 :rule cong :premises (@p120) :args (@t88))
160.28/160.68	(step @p122 :rule cong :premises (@p121) :args (@t89))
160.28/160.68	(step @p123 :rule trans :premises (@p122 @p117))
160.28/160.68	(step @p124 :rule ho_cong :premises (@p59 @p121))
160.28/160.68	(step @p125 :rule cong :premises (@p124 @p123) :args ((= (_ @t9 @t88) @t89)))
160.28/160.68	(step @p126 :rule symm :premises (@p125))
160.28/160.68	(step @p127 :rule refl :args (@t21))
160.28/160.68	(step @p128 :rule eq_resolve :premises (@p127 @p126))
160.28/160.68	(step @p129 :rule refl :args (@t17))
160.28/160.68	(step @p130 :rule cong :premises (@p129 @p119) :args ((= @t17 @t51)))
160.28/160.68	(step @p131 :rule symm :premises (@p130))
160.28/160.68	(step @p132 :rule eq_resolve :premises (@p129 @p131))
160.28/160.68	(step @p133 :rule nary_cong :premises (@p132 @p118) :args (@t18))
160.28/160.68	(step @p134 :rule cong :premises (@p133) :args (@t20))
160.28/160.68	(step @p135 :rule ho_cong :premises (@p59 @p134))
160.28/160.68	(step @p136 :rule trans :premises (@p135 @p128))
160.28/160.68	(step @p137 :rule refl :args (@t90))
160.28/160.68	(step @p138 :rule refl :args (@t22))
160.28/160.68	(step @p139 :rule cong :premises (@p138 @p137) :args ((= @t22 @t90)))
160.28/160.68	(step @p140 :rule symm :premises (@p139))
160.28/160.68	(step @p141 :rule eq_resolve :premises (@p138 @p140))
160.28/160.68	(step @p142 :rule cong :premises (@p141) :args (@t94))
160.28/160.68	(step @p143 :rule nary_cong :premises (@p142 @p136) :args (@t95))
160.28/160.68	(step @p144 :rule cong :premises (@p143) :args ((forall @t23 @t95)))
160.28/160.68	(step @p145 :rule bool-impl-elim :args (@t22 @t21))
160.28/160.68	(step @p146 :rule cong :premises (@p145) :args (@t24))
160.28/160.68	(step @p147 :rule trans :premises (@p146 @p144))
160.28/160.68	(step @p148 :rule refl :args (@t25))
160.28/160.68	(step @p149 :rule cong :premises (@p148 @p147) :args (@t26))
160.28/160.68	(step @p150 :rule cong :premises (@p149) :args (@t28))
160.28/160.68	(step @p151 :rule trans :premises (@p150 @p116))
160.28/160.68	(step @p152 :rule nary_cong :premises (@p151 @p82) :args (@t29))
160.28/160.68	(step @p153 :rule cong :premises (@p152 @p77) :args (@t30))
160.28/160.68	(step @p154 :rule cong :premises (@p153) :args (@t32))
160.28/160.68	(step @p155 :rule trans :premises (@p154 @p76))
160.28/160.68	(step @p156 :rule nary_cong :premises (@p155 @p49 @p33) :args (@t33))
160.28/160.68	(step @p157 :rule cong :premises (@p156) :args (@t35))
160.28/160.68	(step @p158 :rule trans :premises (@p157 @p32))
160.28/160.68	(step @p159 :rule cong :premises (@p158) :args (@t37))
160.28/160.68	(step @p160 :rule cong :premises (@p9 @p159) :args (@t38))
160.28/160.68	(step @p161 :rule cong :premises (@p160) :args (@t39))
160.28/160.68	(step @p162 :rule trans :premises (@p161 @p11))
160.28/160.68	(step @p163 :rule eq_resolve :premises (@p1 @p162))
160.28/160.68	(step @p164 :rule eq-refl :args (@t98))
160.28/160.68	(step @p165 :rule refl :args (@t98))
160.28/160.68	(step @p166 :rule beta-reduce :args (@t99))
160.28/160.68	(step @p167 :rule cong :premises (@p166 @p165) :args (@t99))
160.28/160.68	(step @p168 :rule trans :premises (@p167 @p164))
160.28/160.68	(step @p169 :rule refl :args (@t96))
160.28/160.68	(step @p170 :rule ho_cong :premises (@p4 @p169))
160.28/160.68	(step @p171 :rule cong :premises (@p170 @p165) :args ((= @t100 @t98)))
160.28/160.68	(step @p172 :rule trans :premises (@p171 @p168))
160.28/160.68	(step @p173 :rule true_elim :premises (@p172))
160.28/160.68	(step @p174 :rule refl :args (@t101))
160.28/160.68	(step @p175 :rule cong :premises (@p174 @p173) :args (@t102))
160.28/160.68	(step @p176 :rule cong :premises (@p175) :args (@t103))
160.28/160.68	(step @p177 :rule refl :args (@t104))
160.28/160.68	(step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t105))
160.28/160.68	; WARNING: add trust step for TRUST
160.28/160.68	; trust TRUST THEORY_LEMMA
160.28/160.68	(step @p179 :rule trust :premises () :args (@t105))
160.28/160.68	(step @p180 :rule eq_resolve :premises (@p179 @p178))
160.28/160.68	(step @p181 :rule chain_resolution :premises (@p180 @p163) :args (@t106 (@list @t104)))
160.28/160.68	(step @p182 :rule bool-double-not-elim :args (@t97))
160.28/160.68	(step @p183 :rule refl :args (@t107))
160.28/160.68	(step @p184 :rule refl :args (@t108))
160.28/160.68	(step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t108 @t107 @t109)))
160.28/160.68	(step @p186 :rule cnf_equiv_neg2 :args (@t108))
160.28/160.68	(step @p187 :rule eq_resolve :premises (@p186 @p185))
160.28/160.68	(step @p188 :rule reordering :premises (@p187) :args ((or @t97 @t108 @t107)))
160.28/160.68	(assume-push @p417 @t97)
160.28/160.68	(step @p190 :rule instantiate :premises (@p417) :args ((@list @t114)))
160.28/160.68	(step-pop @p417 :rule scope :premises (@p190))
160.28/160.68	(step @p191 :rule process_scope :premises (@p417) :args (@t122))
160.28/160.68	(step @p193 :rule implies_elim :premises (@p191))
160.28/160.68	(step @p194 :rule eq-symm :args (@t123 @t112))
160.28/160.68	(step @p195 :rule beta-reduce :args ((= @t124 @t112)))
160.28/160.68	(step @p196 :rule refl :args (@t123))
160.28/160.68	(step @p197 :rule cong :premises (@p196 @p195) :args (@t125))
160.28/160.68	(step @p198 :rule trans :premises (@p197 @p194))
160.28/160.68	(step @p199 :rule cong :premises (@p198) :args (@t126))
160.28/160.68	(step @p200 :rule quant-unused-vars :args ((= (forall @t19 true) true)))
160.28/160.68	(step @p201 :rule eq-refl :args (@t124))
160.28/160.68	(step @p202 :rule cong :premises (@p201) :args ((forall @t19 (= @t124 @t124))))
160.28/160.68	(step @p203 :rule trans :premises (@p202 @p200))
160.28/160.68	(step @p204 :rule refl :args (@t124))
160.28/160.68	(step @p205 :rule refl :args (@t13))
160.28/160.68	(step @p206 :rule skolem_intro :args (@t114))
160.28/160.68	(step @p207 :rule ho_cong :premises (@p206 @p205))
160.28/160.68	(step @p208 :rule cong :premises (@p207 @p204) :args (@t125))
160.28/160.68	(step @p209 :rule cong :premises (@p208) :args (@t126))
160.28/160.68	(step @p210 :rule trans :premises (@p209 @p203))
160.28/160.68	(step @p211 :rule true_elim :premises (@p210))
160.28/160.68	(step @p212 :rule eq_resolve :premises (@p211 @p199))
160.28/160.68	(step @p213 :rule bool-eq-true :args (@t115))
160.28/160.68	(step @p214 :rule eq-symm :args (true @t115))
160.28/160.68	(step @p215 :rule trans :premises (@p214 @p213))
160.28/160.68	(step @p216 :rule refl :args (@t115))
160.28/160.68	(step @p217 :rule absorb :args ((= (or @t127 true) true)))
160.28/160.68	(step @p218 :rule eq-refl :args (@t96))
160.28/160.68	(step @p219 :rule refl :args (@t127))
160.28/160.68	(step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t128))
160.28/160.68	(step @p221 :rule trans :premises (@p220 @p217))
160.28/160.68	(step @p222 :rule cong :premises (@p221 @p216) :args (@t129))
160.28/160.68	(step @p223 :rule trans :premises (@p222 @p215))
160.28/160.68	(step @p224 :rule refl :args (@t130))
160.28/160.68	(step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t130 @t129)))
160.28/160.68	(assume-push @p419 @t130)
160.28/160.68	(step @p227 :rule instantiate :premises (@p212) :args (@t131))
160.28/160.68	(step-pop @p419 :rule scope :premises (@p227))
160.28/160.68	(step @p228 :rule process_scope :premises (@p419) :args (@t129))
160.28/160.68	(step @p230 :rule eq_resolve :premises (@p228 @p225))
160.28/160.68	(step @p231 :rule implies_elim :premises (@p230))
160.28/160.68	(step @p232 :rule chain_resolution :premises (@p231 @p212) :args (@t132 @t133))
160.28/160.68	(step @p233 :rule bool-double-not-elim :args (@t135))
160.28/160.68	(step @p234 :rule refl :args (@t140))
160.28/160.68	(step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t140 (not @t139))))
160.28/160.68	(step @p236 :rule cnf_or_neg :args (@t140 0))
160.28/160.68	(step @p237 :rule eq_resolve :premises (@p236 @p235))
160.28/160.68	(step @p238 :rule reordering :premises (@p237) :args ((or @t135 @t140)))
160.28/160.68	(step @p239 :rule bool-double-not-elim :args (@t137))
160.28/160.68	(step @p240 :rule nary_cong :premises (@p234 @p239) :args ((or @t140 (not @t138))))
160.28/160.68	(step @p241 :rule cnf_or_neg :args (@t140 1))
160.28/160.68	(step @p242 :rule eq_resolve :premises (@p241 @p240))
160.28/160.68	(step @p243 :rule reordering :premises (@p242) :args ((or @t137 @t140)))
160.28/160.68	(step @p244 :rule cnf_or_neg :args (@t140 2))
160.28/160.68	(step @p245 :rule eq-refl :args ((lambda @t19 (or (_ @t47 @t13) @t110))))
160.28/160.68	(step @p246 :rule refl :args (@t110))
160.28/160.68	(step @p247 :rule skolem_intro :args (@t111))
160.28/160.68	(step @p248 :rule ho_cong :premises (@p247 @p205))
160.28/160.68	(step @p249 :rule nary_cong :premises (@p248 @p246) :args (@t112))
160.28/160.68	(step @p250 :rule cong :premises (@p249) :args (@t113))
160.28/160.68	(step @p251 :rule trans :premises (@p206 @p250))
160.28/160.68	(step @p252 :rule cong :premises (@p250 @p251) :args ((= @t113 @t114)))
160.28/160.68	(step @p253 :rule trans :premises (@p252 @p245))
160.28/160.68	(step @p254 :rule true_elim :premises (@p253))
160.28/160.68	(step @p255 :rule cong :premises (@p254) :args (@t141))
160.28/160.68	(step @p256 :rule refl :args (@t116))
160.28/160.68	(step @p257 :rule refl :args (@t138))
160.28/160.68	(step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args (@t142))
160.28/160.68	(step @p259 :rule refl :args (@t135))
160.28/160.68	(step @p260 :rule cong :premises (@p259 @p258) :args ((=> @t135 @t142)))
160.28/160.68	(assume-push @p421 @t135)
160.28/160.68	(step @p262 :rule instantiate :premises (@p421) :args ((@list @t111 @t96)))
160.28/160.68	(step-pop @p421 :rule scope :premises (@p262))
160.28/160.68	(step @p263 :rule process_scope :premises (@p421) :args (@t142))
160.28/160.68	(step @p265 :rule eq_resolve :premises (@p263 @p260))
160.28/160.68	(step @p266 :rule implies_elim :premises (@p265))
160.28/160.68	(step @p267 :rule cnf_or_pos :args (@t143))
160.28/160.68	(step @p268 :rule reordering :premises (@p267) :args ((or @t116 @t136 @t138 (not @t143))))
160.28/160.68	(step @p269 :rule chain_resolution :premises (@p268 @p232 @p266 @p244 @p243 @p238) :args ((@list false false true false false) (@list @t115 @t143 @t136 @t137 @t135)))
160.28/160.68	(step @p270 :rule factoring :premises (@p269))
160.28/160.68	(step @p271 :rule refl :args (@t144))
160.28/160.68	(step @p272 :rule bool-double-not-elim :args (@t120))
160.28/160.68	(step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or (not @t121) @t144)))
160.28/160.68	(step @p274 :rule refl :args (@t136))
160.28/160.68	(step @p275 :rule eq-refl :args (@t47))
160.28/160.68	(step @p276 :rule refl :args (@t47))
160.28/160.68	(step @p277 :rule cong :premises (@p276 @p78) :args ((= @t47 @t47)))
160.28/160.68	(step @p278 :rule trans :premises (@p277 @p275))
160.28/160.68	(step @p279 :rule cong :premises (@p276 @p247) :args ((= @t47 @t111)))
160.28/160.68	(step @p280 :rule trans :premises (@p279 @p278))
160.28/160.68	(step @p281 :rule true_elim :premises (@p280))
160.28/160.68	(step @p282 :rule cong :premises (@p281) :args (@t145))
160.28/160.68	(step @p283 :rule cong :premises (@p282) :args (@t146))
160.28/160.68	(step @p284 :rule refl :args (@t139))
160.28/160.68	(step @p285 :rule nary_cong :premises (@p284 @p283 @p274) :args (@t147))
160.28/160.68	(step @p286 :rule cong :premises (@p285) :args (@t148))
160.28/160.68	(step @p287 :rule refl :args (@t121))
160.28/160.68	(step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t121 @t148)))
160.28/160.68	(assume-push @p423 @t121)
160.28/160.68	(step @p290 :rule skolemize :premises (@p423))
160.28/160.68	(step-pop @p423 :rule scope :premises (@p290))
160.28/160.68	(step @p291 :rule process_scope :premises (@p423) :args (@t148))
160.28/160.68	(step @p293 :rule eq_resolve :premises (@p291 @p288))
160.28/160.68	(step @p294 :rule implies_elim :premises (@p293))
160.28/160.68	(step @p295 :rule eq_resolve :premises (@p294 @p273))
160.28/160.68	(step @p296 :rule chain_resolution :premises (@p295 @p270) :args (@t132 (@list @t140)))
160.28/160.68	(step @p297 :rule cnf_or_pos :args (@t122))
160.28/160.68	(step @p298 :rule reordering :premises (@p297) :args ((or @t116 @t121 @t118 (not @t122))))
160.28/160.68	(step @p299 :rule refl :args (@t154))
160.28/160.68	(step @p300 :rule bool-double-not-elim :args (@t117))
160.28/160.68	(step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or (not @t118) @t154)))
160.28/160.68	(assume-push @p425 @t118)
160.28/160.68	(step @p303 :rule skolemize :premises (@p425))
160.28/160.68	(step-pop @p425 :rule scope :premises (@p303))
160.28/160.68	(step @p304 :rule process_scope :premises (@p425) :args (@t154))
160.28/160.68	(step @p306 :rule implies_elim :premises (@p304))
160.28/160.68	(step @p307 :rule eq_resolve :premises (@p306 @p301))
160.28/160.68	(step @p308 :rule bool-double-not-elim :args (@t151))
160.28/160.68	(step @p309 :rule refl :args (@t153))
160.28/160.68	(step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t153 (not @t152))))
160.28/160.68	(step @p311 :rule cnf_or_neg :args (@t153 0))
160.28/160.68	(step @p312 :rule eq_resolve :premises (@p311 @p310))
160.28/160.68	(step @p313 :rule reordering :premises (@p312) :args ((or @t151 @t153)))
160.28/160.68	(step @p314 :rule cnf_or_neg :args (@t153 1))
160.28/160.68	(step @p315 :rule aci_norm :args ((= (or false @t155) @t155)))
160.28/160.68	(step @p316 :rule refl :args (@t155))
160.28/160.68	(step @p317 :rule evaluate :args ((not false)))
160.28/160.68	(step @p318 :rule beta-reduce :args ((= @t156 false)))
160.28/160.68	(step @p319 :rule cong :premises (@p318) :args ((not @t156)))
160.28/160.68	(step @p320 :rule trans :premises (@p319 @p317))
160.28/160.68	(step @p321 :rule refl :args (@t149))
160.28/160.68	(step @p322 :rule ho_cong :premises (@p247 @p321))
160.28/160.68	(step @p323 :rule cong :premises (@p322) :args ((not @t157)))
160.28/160.68	(step @p324 :rule bool-eq-false :args (@t157))
160.28/160.68	(step @p325 :rule trans :premises (@p324 @p323 @p320))
160.28/160.68	(step @p326 :rule true_elim :premises (@p325))
160.28/160.68	(step @p327 :rule nary_cong :premises (@p326 @p316) :args (@t158))
160.28/160.68	(step @p328 :rule trans :premises (@p327 @p315))
160.28/160.68	(step @p329 :rule refl :args (@t151))
160.28/160.68	(step @p330 :rule cong :premises (@p329 @p328) :args (@t159))
160.28/160.68	(step @p331 :rule cong :premises (@p224 @p330) :args ((=> @t130 @t159)))
160.28/160.68	(step @p332 :rule eq-symm :args (@t149 @t96))
160.28/160.68	(step @p333 :rule refl :args (@t157))
160.28/160.68	(step @p334 :rule nary_cong :premises (@p333 @p332) :args (@t160))
160.28/160.68	(step @p335 :rule cong :premises (@p329 @p334) :args ((= @t151 @t160)))
160.28/160.68	(step @p336 :rule eq-symm :args (@t160 @t151))
160.28/160.68	(step @p337 :rule trans :premises (@p336 @p335))
160.28/160.68	(step @p338 :rule cong :premises (@p224 @p337) :args ((=> @t130 @t161)))
160.28/160.68	(assume-push @p427 @t130)
160.28/160.68	(step @p340 :rule instantiate :premises (@p212) :args ((@list @t149)))
160.28/160.68	(step-pop @p427 :rule scope :premises (@p340))
160.28/160.68	(step @p341 :rule process_scope :premises (@p427) :args (@t161))
160.28/160.68	(step @p343 :rule eq_resolve :premises (@p341 @p338))
160.28/160.68	(step @p344 :rule eq_resolve :premises (@p343 @p331))
160.28/160.68	(step @p345 :rule implies_elim :premises (@p344))
160.28/160.68	(step @p346 :rule chain_resolution :premises (@p345 @p212) :args (@t132 @t133))
160.28/160.68	(step @p347 :rule cnf_equiv_pos1 :args (@t162))
160.28/160.68	(step @p348 :rule reordering :premises (@p347) :args ((or @t152 @t155 (not @t162))))
160.28/160.68	(step @p349 :rule refl :args (@t163))
160.28/160.68	(step @p350 :rule bool-double-not-elim :args (@t150))
160.28/160.68	(step @p351 :rule nary_cong :premises (@p183 @p350 @p349) :args ((or @t107 (not @t164) @t163)))
160.28/160.68	(assume-push @p429 @t101)
160.28/160.68	(assume-push @p430 @t155)
160.28/160.68	(assume-push @p431 @t164)
160.28/160.68	(step @p355 :rule evaluate :args ((= false true)))
160.28/160.68	(step @p356 :rule true_intro :premises (@p429))
160.28/160.68	(step @p357 :rule symm :premises (@p430))
160.28/160.68	(step @p358 :rule cong :premises (@p357) :args (@t150))
160.28/160.68	(step @p359 :rule false_intro :premises (@p431))
160.28/160.68	(step @p360 :rule symm :premises (@p359))
160.28/160.68	(step @p361 :rule trans :premises (@p360 @p358 @p356))
160.28/160.68	(step @p362 false :rule eq_resolve :premises (@p361 @p355))
160.28/160.68	(step-pop @p431 :rule scope :premises (@p362))
160.28/160.68	(step-pop @p432 :rule scope :premises (@p431))
160.28/160.68	(step-pop @p433 :rule scope :premises (@p432))
160.28/160.68	(step @p363 :rule process_scope :premises (@p433) :args (false))
160.28/160.68	(assume-push @p435 @t101)
160.28/160.68	(assume-push @p436 @t164)
160.28/160.68	(assume-push @p437 @t155)
160.28/160.68	(step @p370 :rule and_intro :premises (@p435 @p437 @p436))
160.28/160.68	(step-pop @p437 :rule scope :premises (@p370))
160.28/160.68	(step-pop @p438 :rule scope :premises (@p437))
160.28/160.68	(step-pop @p439 :rule scope :premises (@p438))
160.28/160.68	(step @p371 :rule process_scope :premises (@p439) :args (@t165))
160.28/160.68	(step @p375 :rule implies_elim :premises (@p371))
160.28/160.68	(step @p376 :rule resolution :premises (@p375 @p363) :args (true @t165))
160.28/160.68	(step @p377 :rule not_and :premises (@p376))
160.28/160.68	(step @p378 :rule eq_resolve :premises (@p377 @p351))
160.28/160.68	(step @p379 :rule chain_resolution :premises (@p378 @p348 @p346 @p314 @p313) :args ((@list false false true false) (@list @t155 @t162 @t150 @t151)))
160.28/160.68	(step @p380 :rule factoring :premises (@p379))
160.28/160.68	(step @p381 :rule chain_resolution :premises (@p380 @p307 @p298 @p296 @p232 @p193 @p188 @p181) :args ((@list true true false false false false true) (@list @t153 @t117 @t120 @t115 @t122 @t97 @t108)))
160.28/160.68	(step @p382 :rule factoring :premises (@p381))
160.28/160.68	(step @p383 :rule cnf_equiv_neg1 :args (@t108))
160.28/160.68	(step @p384 :rule reordering :premises (@p383) :args ((or @t101 @t98 @t108)))
160.28/160.68	(step @p385 :rule chain_resolution :premises (@p384 @p382 @p181) :args ((@list true true) (@list @t101 @t108)))
160.28/160.68	(step @p386 :rule refl :args (@t172))
160.28/160.68	(step @p387 :rule nary_cong :premises (@p182 @p386) :args ((or @t109 @t172)))
160.28/160.68	(assume-push @p441 @t98)
160.28/160.68	(step @p389 :rule skolemize :premises (@p441))
160.28/160.68	(step-pop @p441 :rule scope :premises (@p389))
160.28/160.68	(step @p390 :rule process_scope :premises (@p441) :args (@t172))
160.28/160.68	(step @p392 :rule implies_elim :premises (@p390))
160.28/160.68	(step @p393 :rule eq_resolve :premises (@p392 @p387))
160.28/160.68	(step @p394 :rule chain_resolution :premises (@p393 @p385) :args (@t106 (@list @t97)))
160.28/160.68	(step @p395 :rule bool-double-not-elim :args (@t169))
160.28/160.68	(step @p396 :rule refl :args (@t171))
160.28/160.68	(step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or @t171 (not @t170))))
160.28/160.68	(step @p398 :rule cnf_or_neg :args (@t171 1))
160.28/160.68	(step @p399 :rule eq_resolve :premises (@p398 @p397))
160.28/160.68	(step @p400 :rule reordering :premises (@p399) :args ((or @t169 @t171)))
160.28/160.68	(step @p401 :rule chain_resolution :premises (@p400 @p394) :args (@t106 @t173))
160.28/160.68	(step @p402 :rule bool-double-not-elim :args (@t167))
160.28/160.68	(step @p403 :rule nary_cong :premises (@p396 @p402) :args ((or @t171 (not @t168))))
160.28/160.68	(step @p404 :rule cnf_or_neg :args (@t171 2))
160.28/160.68	(step @p405 :rule eq_resolve :premises (@p404 @p403))
160.28/160.68	(step @p406 :rule reordering :premises (@p405) :args ((or @t167 @t171)))
160.28/160.68	(step @p407 :rule chain_resolution :premises (@p406 @p394) :args (@t106 @t173))
160.28/160.68	(step @p408 :rule cnf_or_pos :args (@t174))
160.28/160.68	(step @p409 :rule reordering :premises (@p408) :args ((or @t101 @t168 (not @t174))))
160.28/160.68	(step @p410 :rule chain_resolution :premises (@p409 @p382 @p407) :args (@t175 (@list @t101 @t167)))
160.28/160.68	(assume-push @p443 @t169)
160.28/160.68	(step @p412 :rule instantiate :premises (@p443) :args (@t131))
160.28/160.68	(step-pop @p443 :rule scope :premises (@p412))
160.28/160.68	(step @p413 :rule process_scope :premises (@p443) :args (@t174))
160.28/160.68	(step @p415 :rule implies_elim :premises (@p413))
160.28/160.68	(step @p416 false :rule chain_resolution :premises (@p415 @p410 @p401) :args (@t175 (@list @t174 @t169)))
160.28/160.68	)
160.28/160.68	% SZS output end Proof
160.28/160.68	% cvc5 exiting
160.28/160.68	EOF