0.04/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 20:44:07 EDT 2025
0.13/0.34	% CPUTime  : 
0.20/0.49	%----Proving TH0
159.98/160.32	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
159.98/160.32	--- 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...
159.98/160.32	--- 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...
159.98/160.32	--- Run --ho-elim --full-saturate-quant at 14s...
159.98/160.32	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
159.98/160.32	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
159.98/160.32	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
159.98/160.32	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
159.98/160.32	--- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 16s...
159.98/160.32	% SZS status Theorem
159.98/160.32	% SZS output start Proof
159.98/160.32	(
159.98/160.32	(declare-type $$unsorted ())
159.98/160.32	(declare-const tptp.eps1 (-> (-> $$unsorted Bool) $$unsorted))
159.98/160.32	(declare-const tptp.eps2 (-> (-> $$unsorted Bool) $$unsorted))
159.98/160.32	(define tptp.if1 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "B" Bool))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.eps1 (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1)))))))))))
159.98/160.32	(define tptp.if2 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "B" Bool))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.eps2 (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1)))))))))))
159.98/160.32	(define @t1 () (= tptp.if1 tptp.if2))
159.98/160.32	(define @t2 () (not @t1))
159.98/160.32	(define @t3 () (@var "P" (-> $$unsorted Bool)))
159.98/160.32	(define @t4 () (_ tptp.eps1 @t3))
159.98/160.32	(define @t5 () (_ @t3 @t4))
159.98/160.32	(define @t6 () (@var "X" $$unsorted))
159.98/160.32	(define @t7 () (_ @t3 @t6))
159.98/160.32	(define @t8 () (@list @t6))
159.98/160.32	(define @t9 () (exists @t8 @t7))
159.98/160.32	(define @t10 () (=> @t9 @t5))
159.98/160.32	(define @t11 () (@list @t3))
159.98/160.32	(define @t12 () (forall @t11 @t10))
159.98/160.32	(define @t13 () (_ tptp.eps2 @t3))
159.98/160.32	(define @t14 () (_ @t3 @t13))
159.98/160.32	(define @t15 () (=> @t9 @t14))
159.98/160.32	(define @t16 () (forall @t11 @t15))
159.98/160.32	(define @t17 () (@var "Y" $$unsorted))
159.98/160.32	(define @t18 () (@var "Z" $$unsorted))
159.98/160.32	(define @t19 () (@var "B" Bool))
159.98/160.32	(define @t20 () (not @t19))
159.98/160.32	(define @t21 () (and @t20 (= @t18 @t17)))
159.98/160.32	(define @t22 () (and @t19 (= @t18 @t6)))
159.98/160.32	(define @t23 () (or @t22 @t21))
159.98/160.32	(define @t24 () (@list @t18))
159.98/160.32	(define @t25 () (lambda @t24 @t23))
159.98/160.32	(define @t26 () (@list @t19 @t6 @t17))
159.98/160.32	(define @t27 () (lambda @t26 (_ tptp.eps1 @t25)))
159.98/160.32	(define @t28 () (lambda @t26 (_ tptp.eps2 @t25)))
159.98/160.32	(define @t29 () (lambda @t24 (or (and @t19 (= @t6 @t18)) (and @t20 (= @t17 @t18)))))
159.98/160.32	(define @t30 () (lambda @t26 (_ tptp.eps1 @t29)))
159.98/160.32	(define @t31 () (@purify @t30))
159.98/160.32	(define @t32 () (lambda @t26 (_ tptp.eps2 @t29)))
159.98/160.32	(define @t33 () (@purify @t32))
159.98/160.32	(define @t34 () (= @t30 @t32))
159.98/160.32	(define @t35 () (@const 0 $$unsorted))
159.98/160.32	(define @t36 () (= @t18 @t35))
159.98/160.32	(define @t37 () (@const 1 Bool))
159.98/160.32	(define @t38 () (@purify @t37))
159.98/160.32	(define @t39 () (not @t38))
159.98/160.32	(define @t40 () (and @t39 @t36))
159.98/160.32	(define @t41 () (@const 2 $$unsorted))
159.98/160.32	(define @t42 () (= @t18 @t41))
159.98/160.32	(define @t43 () (and @t38 @t42))
159.98/160.32	(define @t44 () (or @t43 @t40))
159.98/160.32	(define @t45 () (lambda @t24 @t44))
159.98/160.32	(define @t46 () (@purify @t45))
159.98/160.32	(define @t47 () (tptp.eps2 @t46))
159.98/160.32	(define @t48 () (tptp.eps1 @t46))
159.98/160.32	(define @t49 () (_ tptp.eps1 @t46))
159.98/160.32	(define @t50 () (not @t37))
159.98/160.32	(define @t51 () (lambda @t24 (or (and @t37 @t42) (and @t50 @t36))))
159.98/160.32	(define @t52 () (_ tptp.eps1 @t51))
159.98/160.32	(define @t53 () (and @t50 (= @t35 @t18)))
159.98/160.32	(define @t54 () (and @t37 (= @t41 @t18)))
159.98/160.32	(define @t55 () (or @t54 @t53))
159.98/160.32	(define @t56 () (lambda @t24 @t55))
159.98/160.32	(define @t57 () (_ @t30 @t37 @t41 @t35))
159.98/160.32	(define @t58 () (_ @t31 @t37 @t41 @t35))
159.98/160.32	(define @t59 () (_ tptp.eps2 @t46))
159.98/160.32	(define @t60 () (_ tptp.eps2 @t51))
159.98/160.32	(define @t61 () (_ @t32 @t37 @t41 @t35))
159.98/160.32	(define @t62 () (_ @t33 @t37 @t41 @t35))
159.98/160.32	(define @t63 () (= @t62 @t58))
159.98/160.32	(define @t64 () (not @t63))
159.98/160.32	(define @t65 () (= @t33 @t31))
159.98/160.32	(define @t66 () (or @t65 @t64))
159.98/160.32	(define @t67 () (@list true))
159.98/160.32	(define @t68 () (@var "ii" $$unsorted))
159.98/160.32	(define @t69 () (@var "u" (-> $$unsorted Bool)))
159.98/160.32	(define @t70 () (@var "e" Bool))
159.98/160.32	(define @t71 () (@var "i" $$unsorted))
159.98/160.32	(define @t72 () (@var "v" (-> $$unsorted Bool)))
159.98/160.32	(define @t73 () (_ @t72 @t68))
159.98/160.32	(define @t74 () (@list @t68))
159.98/160.32	(define @t75 () (@list @t72))
159.98/160.32	(define @t76 () (forall (@list @t69 @t70 @t71) (not (forall @t75 (not (forall @t74 (= @t73 (ite (= @t71 @t68) @t70 (_ @t69 @t68)))))))))
159.98/160.32	(define @t77 () (_ @t46 @t68))
159.98/160.32	(define @t78 () (= @t47 @t68))
159.98/160.32	(define @t79 () (not @t78))
159.98/160.32	(define @t80 () (= @t73 (ite @t78 false @t77)))
159.98/160.32	(define @t81 () (forall @t74 @t80))
159.98/160.32	(define @t82 () (not @t81))
159.98/160.32	(define @t83 () (forall @t75 @t82))
159.98/160.32	(define @t84 () (not @t83))
159.98/160.32	(define @t85 () (@list false))
159.98/160.32	(define @t86 () (and (not (= @t68 @t47)) @t77))
159.98/160.32	(define @t87 () (forall @t75 (not (forall @t74 (= @t73 @t86)))))
159.98/160.32	(define @t88 () (@quantifiers_skolemize @t87 0))
159.98/160.32	(define @t89 () (_ @t88 @t68))
159.98/160.32	(define @t90 () (forall @t74 (= @t86 @t89)))
159.98/160.32	(define @t91 () (not @t87))
159.98/160.32	(define @t92 () (forall @t74 (= @t89 @t86)))
159.98/160.32	(define @t93 () (not (not @t92)))
159.98/160.32	(define @t94 () (@const 3 $$unsorted))
159.98/160.32	(define @t95 () (= @t35 @t94))
159.98/160.32	(define @t96 () (= @t41 @t94))
159.98/160.32	(define @t97 () (or (and @t37 @t96) (and @t50 @t95)))
159.98/160.32	(define @t98 () (and @t50 (= @t94 @t35)))
159.98/160.32	(define @t99 () (and @t37 (= @t94 @t41)))
159.98/160.32	(define @t100 () (or @t99 @t98))
159.98/160.32	(define @t101 () (_ @t51 @t94))
159.98/160.32	(define @t102 () (and @t39 @t95))
159.98/160.32	(define @t103 () (and @t38 @t96))
159.98/160.32	(define @t104 () (or @t103 @t102))
159.98/160.32	(define @t105 () (_ @t46 @t94))
159.98/160.32	(define @t106 () (= @t47 @t94))
159.98/160.32	(define @t107 () (not @t106))
159.98/160.32	(define @t108 () (and @t107 @t105))
159.98/160.32	(define @t109 () (_ @t88 @t94))
159.98/160.32	(define @t110 () (= @t109 @t108))
159.98/160.32	(define @t111 () (not (= @t94 @t47)))
159.98/160.32	(define @t112 () (and @t111 @t105))
159.98/160.32	(define @t113 () (= @t112 @t109))
159.98/160.32	(define @t114 () (@list @t90))
159.98/160.32	(define @t115 () (tptp.eps2 @t88))
159.98/160.32	(define @t116 () (= @t46 @t88))
159.98/160.32	(define @t117 () (ite @t116 @t47 @t115))
159.98/160.32	(define @t118 () (@purify @t117))
159.98/160.32	(define @t119 () (tptp.eps2 @t51))
159.98/160.32	(define @t120 () (= @t117 @t115))
159.98/160.32	(define @t121 () (= @t117 @t47))
159.98/160.32	(define @t122 () (not @t116))
159.98/160.32	(define @t123 () (= @t47 @t118))
159.98/160.32	(define @t124 () (= @t41 @t35))
159.98/160.32	(define @t125 () (or (and @t38 @t124) @t39))
159.98/160.32	(define @t126 () (_ @t88 @t35))
159.98/160.32	(define @t127 () (_ @t88 @t35))
159.98/160.32	(define @t128 () (= @t125 @t127))
159.98/160.32	(define @t129 () (= @t88 @t46))
159.98/160.32	(define @t130 () (=> @t129 (= @t127 @t125)))
159.98/160.32	(define @t131 () (@var "ii" (-> $$unsorted Bool)))
159.98/160.32	(define @t132 () (@var "u" (-> (-> $$unsorted Bool) $$unsorted)))
159.98/160.32	(define @t133 () (@var "e" $$unsorted))
159.98/160.32	(define @t134 () (@var "i" (-> $$unsorted Bool)))
159.98/160.32	(define @t135 () (@var "v" (-> (-> $$unsorted Bool) $$unsorted)))
159.98/160.32	(define @t136 () (_ @t135 @t131))
159.98/160.32	(define @t137 () (@list @t131))
159.98/160.32	(define @t138 () (@list @t135))
159.98/160.32	(define @t139 () (forall (@list @t132 @t133 @t134) (not (forall @t138 (not (forall @t137 (= @t136 (ite (= @t134 @t131) @t133 (_ @t132 @t131)))))))))
159.98/160.32	(define @t140 () (tptp.eps2 @t131))
159.98/160.32	(define @t141 () (ite (= @t46 @t131) @t47 @t140))
159.98/160.32	(define @t142 () (= @t136 @t141))
159.98/160.32	(define @t143 () (forall @t137 @t142))
159.98/160.32	(define @t144 () (not @t143))
159.98/160.32	(define @t145 () (forall @t138 @t144))
159.98/160.32	(define @t146 () (not @t145))
159.98/160.32	(define @t147 () (ite (= @t131 @t46) @t47 @t140))
159.98/160.32	(define @t148 () (forall @t138 (not (forall @t137 (= @t136 @t147)))))
159.98/160.32	(define @t149 () (@quantifiers_skolemize @t148 0))
159.98/160.32	(define @t150 () (_ @t149 @t131))
159.98/160.32	(define @t151 () (forall @t137 (= @t147 @t150)))
159.98/160.32	(define @t152 () (not @t148))
159.98/160.32	(define @t153 () (forall @t137 (= @t150 @t147)))
159.98/160.32	(define @t154 () (not (not @t153)))
159.98/160.32	(define @t155 () (_ @t149 @t46))
159.98/160.32	(define @t156 () (= @t46 @t46))
159.98/160.32	(define @t157 () (= (ite @t156 @t47 @t47) @t155))
159.98/160.32	(define @t158 () (@list @t151))
159.98/160.32	(define @t159 () (_ @t149 @t88))
159.98/160.32	(define @t160 () (= @t159 @t117))
159.98/160.32	(define @t161 () (ite @t129 @t47 @t115))
159.98/160.32	(define @t162 () (= @t161 @t159))
159.98/160.32	(define @t163 () (= @t47 @t155))
159.98/160.32	(define @t164 () (= @t159 @t118))
159.98/160.32	(define @t165 () (= @t115 @t118))
159.98/160.32	(define @t166 () (and @t163 @t116 @t164))
159.98/160.32	(define @t167 () (not @t164))
159.98/160.32	(define @t168 () (not @t163))
159.98/160.32	(define @t169 () (= @t35 @t48))
159.98/160.32	(define @t170 () (and @t39 @t169))
159.98/160.32	(define @t171 () (not @t170))
159.98/160.32	(define @t172 () (= @t35 @t115))
159.98/160.32	(define @t173 () (and @t39 @t172))
159.98/160.32	(define @t174 () (or @t38 (and @t39 @t124)))
159.98/160.32	(define @t175 () (_ @t88 @t47))
159.98/160.32	(define @t176 () (_ @t88 @t47))
159.98/160.32	(define @t177 () (= @t35 @t47))
159.98/160.32	(define @t178 () (and @t39 @t177))
159.98/160.32	(define @t179 () (= @t41 @t47))
159.98/160.32	(define @t180 () (and @t38 @t179))
159.98/160.32	(define @t181 () (or @t180 @t178))
159.98/160.32	(define @t182 () (= @t181 @t176))
159.98/160.32	(define @t183 () (=> @t129 (= @t176 @t181)))
159.98/160.32	(define @t184 () (= @t41 @t115))
159.98/160.32	(define @t185 () (and @t38 @t184))
159.98/160.32	(define @t186 () (or @t185 @t173))
159.98/160.32	(define @t187 () (_ tptp.eps2 @t88))
159.98/160.32	(define @t188 () (_ @t88 @t115))
159.98/160.32	(define @t189 () (_ @t88 @t115))
159.98/160.32	(define @t190 () (= @t189 @t186))
159.98/160.32	(define @t191 () (=> @t129 @t190))
159.98/160.32	(define @t192 () (_ @t88 @t41))
159.98/160.32	(define @t193 () (_ @t88 @t41))
159.98/160.32	(define @t194 () (= @t174 @t193))
159.98/160.32	(define @t195 () (=> @t129 (= @t193 @t174)))
159.98/160.32	(define @t196 () (_ @t46 @t47))
159.98/160.32	(define @t197 () (not (= @t47 @t47)))
159.98/160.32	(define @t198 () (and @t197 @t196))
159.98/160.32	(define @t199 () (= @t198 @t175))
159.98/160.32	(define @t200 () (= @t181 @t175))
159.98/160.32	(define @t201 () (not @t181))
159.98/160.32	(define @t202 () (= @t192 @t174))
159.98/160.32	(define @t203 () (tptp.eps2 @t3))
159.98/160.32	(define @t204 () (_ @t3 @t203))
159.98/160.32	(define @t205 () (@var "BOUND_VARIABLE_7380" $$unsorted))
159.98/160.32	(define @t206 () (not (_ @t3 @t205)))
159.98/160.32	(define @t207 () (or @t206 @t204))
159.98/160.32	(define @t208 () (@list @t205))
159.98/160.32	(define @t209 () (forall @t208 @t207))
159.98/160.32	(define @t210 () (forall @t208 @t206))
159.98/160.32	(define @t211 () (@list @t6))
159.98/160.32	(define @t212 () (or @t210 @t204))
159.98/160.32	(define @t213 () (_ @t3 @t6))
159.98/160.32	(define @t214 () (forall @t8 (not @t213)))
159.98/160.32	(define @t215 () (or @t214 @t14))
159.98/160.32	(define @t216 () (not @t214))
159.98/160.32	(define @t217 () (not @t216))
159.98/160.32	(define @t218 () (not @t7))
159.98/160.32	(define @t219 () (forall @t8 @t218))
159.98/160.32	(define @t220 () (not @t219))
159.98/160.32	(define @t221 () (not @t192))
159.98/160.32	(define @t222 () (or @t221 @t188))
159.98/160.32	(define @t223 () (not @t179))
159.98/160.32	(define @t224 () (= @t188 @t186))
159.98/160.32	(define @t225 () (not @t188))
159.98/160.32	(define @t226 () (not @t184))
159.98/160.32	(define @t227 () (not @t123))
159.98/160.32	(define @t228 () (= false true))
159.98/160.32	(define @t229 () (and @t184 @t123 @t165 @t223))
159.98/160.32	(define @t230 () (not @t102))
159.98/160.32	(define @t231 () (= @t105 @t109))
159.98/160.32	(define @t232 () (not @t231))
159.98/160.32	(define @t233 () (or @t116 @t232))
159.98/160.32	(define @t234 () (= @t109 @t104))
159.98/160.32	(define @t235 () (and @t107 @t104))
159.98/160.32	(define @t236 () (= @t109 @t235))
159.98/160.32	(define @t237 () (not @t236))
159.98/160.32	(define @t238 () (not @t109))
159.98/160.32	(define @t239 () (not @t235))
159.98/160.32	(define @t240 () (not @t104))
159.98/160.32	(define @t241 () (not @t103))
159.98/160.32	(define @t242 () (and @t96 @t106))
159.98/160.32	(define @t243 () (not @t96))
159.98/160.32	(define @t244 () (tptp.eps1 @t3))
159.98/160.32	(define @t245 () (_ @t3 @t244))
159.98/160.32	(define @t246 () (@var "BOUND_VARIABLE_7363" $$unsorted))
159.98/160.32	(define @t247 () (not (_ @t3 @t246)))
159.98/160.32	(define @t248 () (or @t247 @t245))
159.98/160.32	(define @t249 () (forall (@list @t3 @t246) @t248))
159.98/160.32	(define @t250 () (@list @t246))
159.98/160.32	(define @t251 () (forall @t250 @t248))
159.98/160.32	(define @t252 () (forall @t250 @t247))
159.98/160.32	(define @t253 () (or @t252 @t245))
159.98/160.32	(define @t254 () (or @t214 @t5))
159.98/160.32	(define @t255 () (= @t41 @t48))
159.98/160.32	(define @t256 () (and @t38 @t255))
159.98/160.32	(define @t257 () (or @t201 @t256 @t170))
159.98/160.32	(define @t258 () (or @t256 @t170))
159.98/160.32	(define @t259 () (tptp.eps1 @t51))
159.98/160.32	(define @t260 () (or (and @t37 (= @t41 @t259)) (and @t50 (= @t35 @t259))))
159.98/160.32	(define @t261 () (and @t50 (= @t259 @t35)))
159.98/160.32	(define @t262 () (and @t37 (= @t259 @t41)))
159.98/160.32	(define @t263 () (or @t262 @t261))
159.98/160.32	(define @t264 () (_ @t51 @t259))
159.98/160.32	(define @t265 () (_ @t46 @t48))
159.98/160.32	(define @t266 () (or (and @t37 (= @t41 @t119)) (and @t50 (= @t35 @t119))))
159.98/160.32	(define @t267 () (and @t50 (= @t119 @t35)))
159.98/160.32	(define @t268 () (and @t37 (= @t119 @t41)))
159.98/160.32	(define @t269 () (or @t268 @t267))
159.98/160.32	(define @t270 () (_ @t51 @t119))
159.98/160.32	(define @t271 () (not @t196))
159.98/160.32	(define @t272 () (or @t271 @t265))
159.98/160.32	(define @t273 () (not @t256))
159.98/160.32	(define @t274 () (not @t255))
159.98/160.32	(define @t275 () (= @t48 @t47))
159.98/160.32	(define @t276 () (not @t275))
159.98/160.32	(define @t277 () (not @t276))
159.98/160.32	(define @t278 () (and @t106 @t96 @t255 @t276))
159.98/160.32	(define @t279 () (not @t39))
159.98/160.32	(define @t280 () (@list @t38))
159.98/160.32	(define @t281 () (= @t126 @t125))
159.98/160.32	(define @t282 () (not @t126))
159.98/160.32	(define @t283 () (or @t282 @t188))
159.98/160.32	(define @t284 () (or (and @t37 @t184) (and @t50 @t172)))
159.98/160.32	(define @t285 () (and @t50 (= @t115 @t35)))
159.98/160.32	(define @t286 () (and @t37 (= @t115 @t41)))
159.98/160.32	(define @t287 () (or @t286 @t285))
159.98/160.32	(define @t288 () (_ @t51 @t115))
159.98/160.32	(define @t289 () (_ @t46 @t115))
159.98/160.32	(define @t290 () (= @t47 @t115))
159.98/160.32	(define @t291 () (not @t290))
159.98/160.32	(define @t292 () (and @t291 @t289))
159.98/160.32	(define @t293 () (= @t188 @t292))
159.98/160.32	(define @t294 () (not (= @t115 @t47)))
159.98/160.32	(define @t295 () (and @t294 @t289))
159.98/160.32	(define @t296 () (= @t295 @t188))
159.98/160.32	(define @t297 () (and @t291 @t186))
159.98/160.32	(define @t298 () (= @t188 @t297))
159.98/160.32	(define @t299 () (and @t123 @t165))
159.98/160.32	(define @t300 () (@list true false))
159.98/160.32	(define @t301 () (and @t95 @t106))
159.98/160.32	(define @t302 () (not @t95))
159.98/160.32	(define @t303 () (not @t177))
159.98/160.32	(define @t304 () (not @t169))
159.98/160.32	(define @t305 () (and @t106 @t95 @t169 @t276))
159.98/160.32	(assume @p1 @t2)
159.98/160.32	(assume @p2 @t12)
159.98/160.32	(assume @p3 @t16)
159.98/160.32	(assume @p4 true)
159.98/160.32	(step @p5 (= tptp.if1 @t27) :rule refl :args (@t27))
159.98/160.32	(step @p6 (= tptp.if2 @t28) :rule refl :args (@t28))
159.98/160.32	(step @p7 :rule eq-symm :args (@t31 @t33))
159.98/160.32	(step @p8 :rule eq-refl :args (@t32))
159.98/160.32	(step @p9 :rule skolem_intro :args (@t33))
159.98/160.32	(step @p10 :rule refl :args (@t32))
159.98/160.32	(step @p11 :rule cong :premises (@p10 @p9) :args ((= @t32 @t33)))
159.98/160.32	(step @p12 :rule trans :premises (@p11 @p8))
159.98/160.32	(step @p13 :rule true_elim :premises (@p12))
159.98/160.32	(step @p14 :rule eq-refl :args (@t30))
159.98/160.32	(step @p15 :rule skolem_intro :args (@t31))
159.98/160.32	(step @p16 :rule refl :args (@t30))
159.98/160.32	(step @p17 :rule cong :premises (@p16 @p15) :args ((= @t30 @t31)))
159.98/160.32	(step @p18 :rule trans :premises (@p17 @p14))
159.98/160.32	(step @p19 :rule true_elim :premises (@p18))
159.98/160.32	(step @p20 :rule cong :premises (@p19 @p13) :args (@t34))
159.98/160.32	(step @p21 :rule trans :premises (@p20 @p7))
159.98/160.32	(step @p22 :rule cong :premises (@p21) :args ((not @t34)))
159.98/160.32	(step @p23 :rule eq-symm :args (@t18 @t17))
159.98/160.32	(step @p24 :rule refl :args (@t20))
159.98/160.32	(step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t21))
159.98/160.32	(step @p26 :rule eq-symm :args (@t18 @t6))
159.98/160.32	(step @p27 :rule refl :args (@t19))
159.98/160.32	(step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t22))
159.98/160.32	(step @p29 :rule nary_cong :premises (@p28 @p25) :args (@t23))
159.98/160.32	(step @p30 :rule cong :premises (@p29) :args (@t25))
159.98/160.32	(step @p31 :rule refl :args (tptp.eps2))
159.98/160.32	(step @p32 :rule ho_cong :premises (@p31 @p30))
159.98/160.32	(step @p33 :rule cong :premises (@p32) :args (@t28))
159.98/160.32	(step @p34 :rule trans :premises (@p6 @p33))
159.98/160.32	(step @p35 :rule refl :args (tptp.eps1))
159.98/160.32	(step @p36 :rule ho_cong :premises (@p35 @p30))
159.98/160.32	(step @p37 :rule cong :premises (@p36) :args (@t27))
159.98/160.32	(step @p38 :rule trans :premises (@p5 @p37))
159.98/160.32	(step @p39 :rule cong :premises (@p38 @p34) :args (@t1))
159.98/160.32	(step @p40 :rule cong :premises (@p39) :args (@t2))
159.98/160.32	(step @p41 :rule trans :premises (@p40 @p22))
159.98/160.32	(step @p42 :rule eq_resolve :premises (@p1 @p41))
159.98/160.32	(step @p43 :rule eq-symm :args (@t47 @t48))
159.98/160.32	(step @p44 :rule refl :args (@t48))
159.98/160.32	(step @p45 :rule refl :args (@t49))
159.98/160.32	(step @p46 :rule cong :premises (@p45 @p44) :args ((= @t49 @t48)))
159.98/160.32	(step @p47 :rule symm :premises (@p46))
159.98/160.32	(step @p48 :rule eq_resolve :premises (@p45 @p47))
159.98/160.32	(step @p49 :rule eq-refl :args (@t51))
159.98/160.32	(step @p50 :rule refl :args (@t36))
159.98/160.32	(step @p51 :rule skolem_intro :args (@t38))
159.98/160.32	(step @p52 :rule cong :premises (@p51) :args (@t39))
159.98/160.32	(step @p53 :rule nary_cong :premises (@p52 @p50) :args (@t40))
159.98/160.32	(step @p54 :rule refl :args (@t42))
159.98/160.32	(step @p55 :rule nary_cong :premises (@p51 @p54) :args (@t43))
159.98/160.32	(step @p56 :rule nary_cong :premises (@p55 @p53) :args (@t44))
159.98/160.32	(step @p57 :rule cong :premises (@p56) :args (@t45))
159.98/160.32	(step @p58 :rule skolem_intro :args (@t46))
159.98/160.32	(step @p59 :rule trans :premises (@p58 @p57))
159.98/160.32	(step @p60 :rule cong :premises (@p57 @p59) :args ((= @t45 @t46)))
159.98/160.32	(step @p61 :rule trans :premises (@p60 @p49))
159.98/160.32	(step @p62 :rule true_elim :premises (@p61))
159.98/160.32	(step @p63 :rule ho_cong :premises (@p35 @p62))
159.98/160.32	(step @p64 :rule trans :premises (@p63 @p48))
159.98/160.32	(step @p65 :rule eq-refl :args (@t52))
159.98/160.32	(step @p66 :rule refl :args (@t52))
159.98/160.32	(step @p67 :rule eq-symm :args (@t35 @t18))
159.98/160.32	(step @p68 :rule refl :args (@t50))
159.98/160.32	(step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t53))
159.98/160.32	(step @p70 :rule eq-symm :args (@t41 @t18))
159.98/160.32	(step @p71 :rule refl :args (@t37))
159.98/160.32	(step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t54))
159.98/160.32	(step @p73 :rule nary_cong :premises (@p72 @p69) :args (@t55))
159.98/160.32	(step @p74 :rule cong :premises (@p73) :args (@t56))
159.98/160.32	(step @p75 :rule ho_cong :premises (@p35 @p74))
159.98/160.32	(step @p76 :rule beta-reduce :args ((= @t57 (_ tptp.eps1 @t56))))
159.98/160.32	(step @p77 :rule trans :premises (@p76 @p75))
159.98/160.32	(step @p78 :rule cong :premises (@p77 @p66) :args ((= @t57 @t52)))
159.98/160.32	(step @p79 :rule trans :premises (@p78 @p65))
159.98/160.32	(step @p80 :rule ho_cong :premises (@p35 @p57))
159.98/160.32	(step @p81 :rule refl :args (@t35))
159.98/160.32	(step @p82 :rule refl :args (@t41))
159.98/160.32	(step @p83 :rule ho_cong :premises (@p15 @p51 @p82 @p81))
159.98/160.32	(step @p84 :rule cong :premises (@p83 @p80) :args ((= (_ @t31 @t38 @t41 @t35) (_ tptp.eps1 @t45))))
159.98/160.32	(step @p85 :rule trans :premises (@p84 @p79))
159.98/160.32	(step @p86 :rule true_elim :premises (@p85))
159.98/160.32	(step @p87 :rule trans :premises (@p86 @p64))
159.98/160.32	(step @p88 :rule eq-refl :args (@t37))
159.98/160.32	(step @p89 :rule cong :premises (@p71 @p51) :args ((= @t37 @t38)))
159.98/160.32	(step @p90 :rule trans :premises (@p89 @p88))
159.98/160.32	(step @p91 :rule true_elim :premises (@p90))
159.98/160.32	(step @p92 :rule cong :premises (@p91 @p82 @p81) :args (@t58))
159.98/160.32	(step @p93 :rule trans :premises (@p92 @p87))
159.98/160.32	(step @p94 :rule refl :args (@t47))
159.98/160.32	(step @p95 :rule refl :args (@t59))
159.98/160.32	(step @p96 :rule cong :premises (@p95 @p94) :args ((= @t59 @t47)))
159.98/160.32	(step @p97 :rule symm :premises (@p96))
159.98/160.32	(step @p98 :rule eq_resolve :premises (@p95 @p97))
159.98/160.32	(step @p99 :rule ho_cong :premises (@p31 @p62))
159.98/160.32	(step @p100 :rule trans :premises (@p99 @p98))
159.98/160.32	(step @p101 :rule eq-refl :args (@t60))
159.98/160.32	(step @p102 :rule refl :args (@t60))
159.98/160.32	(step @p103 :rule ho_cong :premises (@p31 @p74))
159.98/160.32	(step @p104 :rule beta-reduce :args ((= @t61 (_ tptp.eps2 @t56))))
159.98/160.32	(step @p105 :rule trans :premises (@p104 @p103))
159.98/160.32	(step @p106 :rule cong :premises (@p105 @p102) :args ((= @t61 @t60)))
159.98/160.32	(step @p107 :rule trans :premises (@p106 @p101))
159.98/160.32	(step @p108 :rule ho_cong :premises (@p31 @p57))
159.98/160.32	(step @p109 :rule ho_cong :premises (@p9 @p51 @p82 @p81))
159.98/160.32	(step @p110 :rule cong :premises (@p109 @p108) :args ((= (_ @t33 @t38 @t41 @t35) (_ tptp.eps2 @t45))))
159.98/160.32	(step @p111 :rule trans :premises (@p110 @p107))
159.98/160.32	(step @p112 :rule true_elim :premises (@p111))
159.98/160.32	(step @p113 :rule trans :premises (@p112 @p100))
159.98/160.32	(step @p114 :rule cong :premises (@p91 @p82 @p81) :args (@t62))
159.98/160.32	(step @p115 :rule trans :premises (@p114 @p113))
159.98/160.32	(step @p116 :rule cong :premises (@p115 @p93) :args (@t63))
159.98/160.32	(step @p117 :rule trans :premises (@p116 @p43))
159.98/160.32	(step @p118 :rule cong :premises (@p117) :args (@t64))
159.98/160.32	(step @p119 :rule refl :args (@t65))
159.98/160.32	(step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t66))
159.98/160.32	; WARNING: add trust step for TRUST
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p121 :rule trust :premises () :args (@t66))
159.98/160.32	(step @p122 :rule eq_resolve :premises (@p121 @p120))
159.98/160.32	(step @p123 :rule chain_resolution :premises (@p122 @p42) :args (@t67 (@list @t65)))
159.98/160.32	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
159.98/160.32	(step @p124 :rule trust :premises () :args (@t76))
159.98/160.32	(step @p125 :rule refl :args (@t77))
159.98/160.32	(step @p126 :rule eq-symm :args (@t47 @t68))
159.98/160.32	(step @p127 :rule cong :premises (@p126) :args (@t79))
159.98/160.32	(step @p128 :rule nary_cong :premises (@p127 @p125) :args ((and @t79 @t77)))
159.98/160.32	(step @p129 :rule ite-then-false :args (@t78 @t77))
159.98/160.32	(step @p130 :rule trans :premises (@p129 @p128))
159.98/160.32	(step @p131 :rule refl :args (@t73))
159.98/160.32	(step @p132 :rule cong :premises (@p131 @p130) :args (@t80))
159.98/160.32	(step @p133 :rule cong :premises (@p132) :args (@t81))
159.98/160.32	(step @p134 :rule cong :premises (@p133) :args (@t82))
159.98/160.32	(step @p135 :rule cong :premises (@p134) :args (@t83))
159.98/160.32	(step @p136 :rule cong :premises (@p135) :args (@t84))
159.98/160.32	(step @p137 :rule refl :args (@t76))
159.98/160.32	(step @p138 :rule cong :premises (@p137 @p136) :args ((=> @t76 @t84)))
159.98/160.32	(assume-push @p886 @t76)
159.98/160.32	(step @p140 :rule instantiate :premises (@p124) :args ((@list @t46 false @t47)))
159.98/160.32	(step-pop @p886 :rule scope :premises (@p140))
159.98/160.32	(step @p141 :rule process_scope :premises (@p886) :args (@t84))
159.98/160.32	(step @p143 :rule eq_resolve :premises (@p141 @p138))
159.98/160.32	(step @p144 :rule implies_elim :premises (@p143))
159.98/160.32	(step @p145 :rule chain_resolution :premises (@p144 @p124) :args (@t85 (@list @t76)))
159.98/160.32	(step @p146 :rule refl :args (@t90))
159.98/160.32	(step @p147 :rule bool-double-not-elim :args (@t87))
159.98/160.32	(step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t91) @t90)))
159.98/160.32	(step @p149 :rule eq-symm :args (@t89 @t86))
159.98/160.32	(step @p150 :rule cong :premises (@p149) :args (@t92))
159.98/160.32	(step @p151 :rule bool-double-not-elim :args (@t92))
159.98/160.32	(step @p152 :rule trans :premises (@p151 @p150))
159.98/160.32	(step @p153 :rule refl :args (@t91))
159.98/160.32	(step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t91 @t93)))
159.98/160.32	(assume-push @p888 @t91)
159.98/160.32	(step @p156 :rule skolemize :premises (@p145))
159.98/160.32	(step-pop @p888 :rule scope :premises (@p156))
159.98/160.32	(step @p157 :rule process_scope :premises (@p888) :args (@t93))
159.98/160.32	(step @p159 :rule eq_resolve :premises (@p157 @p154))
159.98/160.32	(step @p160 :rule implies_elim :premises (@p159))
159.98/160.32	(step @p161 :rule eq_resolve :premises (@p160 @p148))
159.98/160.32	(step @p162 :rule chain_resolution :premises (@p161 @p145) :args (@t67 (@list @t87)))
159.98/160.32	(step @p163 :rule eq-refl :args (@t97))
159.98/160.32	(step @p164 :rule eq-symm :args (@t94 @t35))
159.98/160.32	(step @p165 :rule nary_cong :premises (@p68 @p164) :args (@t98))
159.98/160.32	(step @p166 :rule eq-symm :args (@t94 @t41))
159.98/160.32	(step @p167 :rule nary_cong :premises (@p71 @p166) :args (@t99))
159.98/160.32	(step @p168 :rule nary_cong :premises (@p167 @p165) :args (@t100))
159.98/160.32	(step @p169 :rule beta-reduce :args ((= @t101 @t100)))
159.98/160.32	(step @p170 :rule trans :premises (@p169 @p168))
159.98/160.32	(step @p171 :rule refl :args (@t97))
159.98/160.32	(step @p172 :rule cong :premises (@p171 @p170) :args ((= @t97 @t101)))
159.98/160.32	(step @p173 :rule trans :premises (@p172 @p163))
159.98/160.32	(step @p174 :rule eq-symm :args (@t101 @t97))
159.98/160.32	(step @p175 :rule trans :premises (@p174 @p173))
159.98/160.32	(step @p176 :rule refl :args (@t95))
159.98/160.32	(step @p177 :rule nary_cong :premises (@p52 @p176) :args (@t102))
159.98/160.32	(step @p178 :rule refl :args (@t96))
159.98/160.32	(step @p179 :rule nary_cong :premises (@p51 @p178) :args (@t103))
159.98/160.32	(step @p180 :rule nary_cong :premises (@p179 @p177) :args (@t104))
159.98/160.32	(step @p181 :rule refl :args (@t94))
159.98/160.32	(step @p182 :rule ho_cong :premises (@p59 @p181))
159.98/160.32	(step @p183 :rule cong :premises (@p182 @p180) :args ((= @t105 @t104)))
159.98/160.32	(step @p184 :rule trans :premises (@p183 @p175))
159.98/160.32	(step @p185 :rule true_elim :premises (@p184))
159.98/160.32	(step @p186 :rule refl :args (@t107))
159.98/160.32	(step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t108))
159.98/160.32	(step @p188 :rule refl :args (@t109))
159.98/160.32	(step @p189 :rule cong :premises (@p188 @p187) :args (@t110))
159.98/160.32	(step @p190 :rule cong :premises (@p146 @p189) :args ((=> @t90 @t110)))
159.98/160.32	(step @p191 :rule refl :args (@t105))
159.98/160.32	(step @p192 :rule eq-symm :args (@t94 @t47))
159.98/160.32	(step @p193 :rule cong :premises (@p192) :args (@t111))
159.98/160.32	(step @p194 :rule nary_cong :premises (@p193 @p191) :args (@t112))
159.98/160.32	(step @p195 :rule cong :premises (@p188 @p194) :args ((= @t109 @t112)))
159.98/160.32	(step @p196 :rule eq-symm :args (@t112 @t109))
159.98/160.32	(step @p197 :rule trans :premises (@p196 @p195))
159.98/160.32	(step @p198 :rule cong :premises (@p146 @p197) :args ((=> @t90 @t113)))
159.98/160.32	(assume-push @p890 @t90)
159.98/160.32	(step @p200 :rule instantiate :premises (@p162) :args ((@list @t94)))
159.98/160.32	(step-pop @p890 :rule scope :premises (@p200))
159.98/160.32	(step @p201 :rule process_scope :premises (@p890) :args (@t113))
159.98/160.32	(step @p203 :rule eq_resolve :premises (@p201 @p198))
159.98/160.32	(step @p204 :rule eq_resolve :premises (@p203 @p190))
159.98/160.32	(step @p205 :rule implies_elim :premises (@p204))
159.98/160.32	(step @p206 :rule chain_resolution :premises (@p205 @p162) :args (@t85 @t114))
159.98/160.32	(step @p207 :rule eq-symm :args (@t118 @t115))
159.98/160.32	(step @p208 :rule eq-symm :args (@t118 @t47))
159.98/160.32	(step @p209 :rule refl :args (@t116))
159.98/160.32	(step @p210 :rule cong :premises (@p209 @p208 @p207) :args ((ite @t116 (= @t118 @t47) (= @t118 @t115))))
159.98/160.32	(step @p211 :rule refl :args (@t115))
159.98/160.32	(step @p212 :rule eq-refl :args ((ite (= @t51 @t88) @t119 @t115)))
159.98/160.32	(step @p213 :rule cong :premises (@p59) :args (@t47))
159.98/160.32	(step @p214 :rule refl :args (@t88))
159.98/160.32	(step @p215 :rule cong :premises (@p59 @p214) :args (@t116))
159.98/160.32	(step @p216 :rule cong :premises (@p215 @p213 @p211) :args (@t117))
159.98/160.32	(step @p217 :rule skolem_intro :args (@t118))
159.98/160.32	(step @p218 :rule trans :premises (@p217 @p216))
159.98/160.32	(step @p219 :rule cong :premises (@p216 @p218) :args ((= @t117 @t118)))
159.98/160.32	(step @p220 :rule trans :premises (@p219 @p212))
159.98/160.32	(step @p221 :rule true_elim :premises (@p220))
159.98/160.32	(step @p222 :rule cong :premises (@p221 @p211) :args (@t120))
159.98/160.32	(step @p223 :rule refl :args (@t47))
159.98/160.32	(step @p224 :rule cong :premises (@p221 @p223) :args (@t121))
159.98/160.32	(step @p225 :rule cong :premises (@p209 @p224 @p222) :args ((ite @t116 @t121 @t120)))
159.98/160.32	(step @p226 :rule ite_eq :args (@t117))
159.98/160.32	(step @p227 :rule eq_resolve :premises (@p226 @p225))
159.98/160.32	(step @p228 :rule eq_resolve :premises (@p227 @p210))
159.98/160.32	(step @p229 :rule ite_elim1 :premises (@p228))
159.98/160.32	(step @p230 :rule reordering :premises (@p229) :args ((or @t123 @t122)))
159.98/160.32	(step @p231 :rule eq-symm :args (@t125 @t126))
159.98/160.32	(step @p232 :rule refl :args (@t126))
159.98/160.32	(step @p233 :rule refl :args (@t127))
159.98/160.32	(step @p234 :rule cong :premises (@p233 @p232) :args ((= @t127 @t126)))
159.98/160.32	(step @p235 :rule symm :premises (@p234))
159.98/160.32	(step @p236 :rule eq_resolve :premises (@p233 @p235))
159.98/160.32	(step @p237 :rule refl :args (@t125))
159.98/160.32	(step @p238 :rule cong :premises (@p237 @p236) :args (@t128))
159.98/160.32	(step @p239 :rule trans :premises (@p238 @p231))
159.98/160.32	(step @p240 :rule cong :premises (@p209 @p239) :args ((=> @t116 @t128)))
159.98/160.32	(step @p241 :rule eq-symm :args (@t127 @t125))
159.98/160.32	(step @p242 :rule eq-symm :args (@t88 @t46))
159.98/160.32	(step @p243 :rule cong :premises (@p242 @p241) :args (@t130))
159.98/160.32	(step @p244 :rule trans :premises (@p243 @p240))
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p245 :rule trust :premises () :args (@t130))
159.98/160.32	(step @p246 :rule eq_resolve :premises (@p245 @p244))
159.98/160.32	(step @p247 :rule implies_elim :premises (@p246))
159.98/160.32	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
159.98/160.32	(step @p248 :rule trust :premises () :args (@t139))
159.98/160.32	(step @p249 :rule refl :args (@t140))
159.98/160.32	(step @p250 :rule eq-symm :args (@t46 @t131))
159.98/160.32	(step @p251 :rule cong :premises (@p250 @p223 @p249) :args (@t141))
159.98/160.32	(step @p252 :rule refl :args (@t136))
159.98/160.32	(step @p253 :rule cong :premises (@p252 @p251) :args (@t142))
159.98/160.32	(step @p254 :rule cong :premises (@p253) :args (@t143))
159.98/160.32	(step @p255 :rule cong :premises (@p254) :args (@t144))
159.98/160.32	(step @p256 :rule cong :premises (@p255) :args (@t145))
159.98/160.32	(step @p257 :rule cong :premises (@p256) :args (@t146))
159.98/160.32	(step @p258 :rule refl :args (@t139))
159.98/160.32	(step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t139 @t146)))
159.98/160.32	(assume-push @p892 @t139)
159.98/160.32	(step @p261 :rule instantiate :premises (@p248) :args ((@list tptp.eps2 @t47 @t46)))
159.98/160.32	(step-pop @p892 :rule scope :premises (@p261))
159.98/160.32	(step @p262 :rule process_scope :premises (@p892) :args (@t146))
159.98/160.32	(step @p264 :rule eq_resolve :premises (@p262 @p259))
159.98/160.32	(step @p265 :rule implies_elim :premises (@p264))
159.98/160.32	(step @p266 :rule chain_resolution :premises (@p265 @p248) :args (@t85 (@list @t139)))
159.98/160.32	(step @p267 :rule refl :args (@t151))
159.98/160.32	(step @p268 :rule bool-double-not-elim :args (@t148))
159.98/160.32	(step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t152) @t151)))
159.98/160.32	(step @p270 :rule eq-symm :args (@t150 @t147))
159.98/160.32	(step @p271 :rule cong :premises (@p270) :args (@t153))
159.98/160.32	(step @p272 :rule bool-double-not-elim :args (@t153))
159.98/160.32	(step @p273 :rule trans :premises (@p272 @p271))
159.98/160.32	(step @p274 :rule refl :args (@t152))
159.98/160.32	(step @p275 :rule cong :premises (@p274 @p273) :args ((=> @t152 @t154)))
159.98/160.32	(assume-push @p894 @t152)
159.98/160.32	(step @p277 :rule skolemize :premises (@p266))
159.98/160.32	(step-pop @p894 :rule scope :premises (@p277))
159.98/160.32	(step @p278 :rule process_scope :premises (@p894) :args (@t154))
159.98/160.32	(step @p280 :rule eq_resolve :premises (@p278 @p275))
159.98/160.32	(step @p281 :rule implies_elim :premises (@p280))
159.98/160.32	(step @p282 :rule eq_resolve :premises (@p281 @p269))
159.98/160.32	(step @p283 :rule chain_resolution :premises (@p282 @p266) :args (@t67 (@list @t148)))
159.98/160.32	(step @p284 :rule refl :args (@t155))
159.98/160.32	(step @p285 :rule ite-eq-branch :args (@t156 @t47))
159.98/160.32	(step @p286 :rule cong :premises (@p285 @p284) :args (@t157))
159.98/160.32	(step @p287 :rule cong :premises (@p267 @p286) :args ((=> @t151 @t157)))
159.98/160.32	(assume-push @p896 @t151)
159.98/160.32	(step @p289 :rule instantiate :premises (@p283) :args ((@list @t46)))
159.98/160.32	(step-pop @p896 :rule scope :premises (@p289))
159.98/160.32	(step @p290 :rule process_scope :premises (@p896) :args (@t157))
159.98/160.32	(step @p292 :rule eq_resolve :premises (@p290 @p287))
159.98/160.32	(step @p293 :rule implies_elim :premises (@p292))
159.98/160.32	(step @p294 :rule chain_resolution :premises (@p293 @p283) :args (@t85 @t158))
159.98/160.32	(step @p295 :rule refl :args (@t159))
159.98/160.32	(step @p296 :rule cong :premises (@p295 @p221) :args (@t160))
159.98/160.32	(step @p297 :rule cong :premises (@p267 @p296) :args ((=> @t151 @t160)))
159.98/160.32	(step @p298 :rule eq-symm :args (@t117 @t159))
159.98/160.32	(step @p299 :rule cong :premises (@p242 @p223 @p211) :args (@t161))
159.98/160.32	(step @p300 :rule cong :premises (@p299 @p295) :args (@t162))
159.98/160.32	(step @p301 :rule trans :premises (@p300 @p298))
159.98/160.32	(step @p302 :rule cong :premises (@p267 @p301) :args ((=> @t151 @t162)))
159.98/160.32	(assume-push @p898 @t151)
159.98/160.32	(step @p304 :rule instantiate :premises (@p283) :args ((@list @t88)))
159.98/160.32	(step-pop @p898 :rule scope :premises (@p304))
159.98/160.32	(step @p305 :rule process_scope :premises (@p898) :args (@t162))
159.98/160.32	(step @p307 :rule eq_resolve :premises (@p305 @p302))
159.98/160.32	(step @p308 :rule eq_resolve :premises (@p307 @p297))
159.98/160.32	(step @p309 :rule implies_elim :premises (@p308))
159.98/160.32	(step @p310 :rule chain_resolution :premises (@p309 @p283) :args (@t85 @t158))
159.98/160.32	(assume-push @p900 @t163)
159.98/160.32	(assume-push @p901 @t116)
159.98/160.32	(assume-push @p902 @t164)
159.98/160.32	(assume-push @p903 @t164)
159.98/160.32	(assume-push @p904 @t116)
159.98/160.32	(assume-push @p905 @t163)
159.98/160.32	(step @p317 :rule cong :premises (@p901) :args (@t155))
159.98/160.32	(step @p318 :rule symm :premises (@p901))
159.98/160.32	(step @p319 :rule cong :premises (@p318) :args (@t115))
159.98/160.32	(step @p320 :rule trans :premises (@p319 @p294 @p317 @p310))
159.98/160.32	(step-pop @p905 :rule scope :premises (@p320))
159.98/160.32	(step-pop @p906 :rule scope :premises (@p905))
159.98/160.32	(step-pop @p907 :rule scope :premises (@p906))
159.98/160.32	(step @p321 :rule process_scope :premises (@p907) :args (@t165))
159.98/160.32	(step @p325 :rule and_intro :premises (@p310 @p901 @p294))
159.98/160.32	(step @p326 :rule modus_ponens :premises (@p325 @p321))
159.98/160.32	(step-pop @p908 :rule scope :premises (@p326))
159.98/160.32	(step-pop @p909 :rule scope :premises (@p908))
159.98/160.32	(step-pop @p910 :rule scope :premises (@p909))
159.98/160.32	(step @p327 :rule process_scope :premises (@p910) :args (@t165))
159.98/160.32	(step @p331 :rule implies_elim :premises (@p327))
159.98/160.32	(step @p332 :rule cnf_and_neg :args (@t166))
159.98/160.32	(step @p333 :rule resolution :premises (@p332 @p331) :args (true @t166))
159.98/160.32	(step @p334 :rule reordering :premises (@p333) :args ((or @t168 @t165 @t167 @t122)))
159.98/160.32	(step @p335 :rule cnf_and_pos :args (@t170 0))
159.98/160.32	(step @p336 :rule reordering :premises (@p335) :args ((or @t39 @t171)))
159.98/160.32	(step @p337 :rule cnf_and_pos :args (@t173 0))
159.98/160.32	(step @p338 :rule reordering :premises (@p337) :args ((or @t39 (not @t173))))
159.98/160.32	(step @p339 :rule cnf_or_neg :args (@t174 0))
159.98/160.32	(step @p340 :rule reordering :premises (@p339) :args ((or @t39 @t174)))
159.98/160.32	(step @p341 :rule refl :args ((_ @t88 @t59)))
159.98/160.32	(step @p342 :rule cong :premises (@p94) :args (@t175))
159.98/160.32	(step @p343 :rule trans :premises (@p342 @p341))
159.98/160.32	(step @p344 :rule refl :args (@t88))
159.98/160.32	(step @p345 :rule ho_cong :premises (@p344 @p94))
159.98/160.32	(step @p346 :rule cong :premises (@p345 @p343) :args ((= @t176 @t175)))
159.98/160.32	(step @p347 :rule symm :premises (@p346))
159.98/160.32	(step @p348 :rule refl :args ((_ @t88 @t59)))
159.98/160.32	(step @p349 :rule eq_resolve :premises (@p348 @p347))
159.98/160.32	(step @p350 :rule refl :args (@t181))
159.98/160.32	(step @p351 :rule cong :premises (@p350 @p349) :args (@t182))
159.98/160.32	(step @p352 :rule cong :premises (@p209 @p351) :args ((=> @t116 @t182)))
159.98/160.32	(step @p353 :rule eq-symm :args (@t176 @t181))
159.98/160.32	(step @p354 :rule cong :premises (@p242 @p353) :args (@t183))
159.98/160.32	(step @p355 :rule trans :premises (@p354 @p352))
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p356 :rule trust :premises () :args (@t183))
159.98/160.32	(step @p357 :rule eq_resolve :premises (@p356 @p355))
159.98/160.32	(step @p358 :rule implies_elim :premises (@p357))
159.98/160.32	(step @p359 :rule refl :args (@t186))
159.98/160.32	(step @p360 :rule refl :args ((_ @t88 @t187)))
159.98/160.32	(step @p361 :rule refl :args (@t115))
159.98/160.32	(step @p362 :rule cong :premises (@p361) :args (@t188))
159.98/160.32	(step @p363 :rule trans :premises (@p362 @p360))
159.98/160.32	(step @p364 :rule ho_cong :premises (@p344 @p361))
159.98/160.32	(step @p365 :rule cong :premises (@p364 @p363) :args ((= @t189 @t188)))
159.98/160.32	(step @p366 :rule symm :premises (@p365))
159.98/160.32	(step @p367 :rule refl :args ((_ @t88 @t187)))
159.98/160.32	(step @p368 :rule eq_resolve :premises (@p367 @p366))
159.98/160.32	(step @p369 :rule cong :premises (@p368 @p359) :args (@t190))
159.98/160.32	(step @p370 :rule cong :premises (@p209 @p369) :args ((=> @t116 @t190)))
159.98/160.32	(step @p371 :rule refl :args (@t190))
159.98/160.32	(step @p372 :rule cong :premises (@p242 @p371) :args (@t191))
159.98/160.32	(step @p373 :rule trans :premises (@p372 @p370))
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p374 :rule trust :premises () :args (@t191))
159.98/160.32	(step @p375 :rule eq_resolve :premises (@p374 @p373))
159.98/160.32	(step @p376 :rule implies_elim :premises (@p375))
159.98/160.32	(step @p377 :rule eq-symm :args (@t174 @t192))
159.98/160.32	(step @p378 :rule refl :args (@t192))
159.98/160.32	(step @p379 :rule refl :args (@t193))
159.98/160.32	(step @p380 :rule cong :premises (@p379 @p378) :args ((= @t193 @t192)))
159.98/160.32	(step @p381 :rule symm :premises (@p380))
159.98/160.32	(step @p382 :rule eq_resolve :premises (@p379 @p381))
159.98/160.32	(step @p383 :rule refl :args (@t174))
159.98/160.32	(step @p384 :rule cong :premises (@p383 @p382) :args (@t194))
159.98/160.32	(step @p385 :rule trans :premises (@p384 @p377))
159.98/160.32	(step @p386 :rule cong :premises (@p209 @p385) :args ((=> @t116 @t194)))
159.98/160.32	(step @p387 :rule eq-symm :args (@t193 @t174))
159.98/160.32	(step @p388 :rule cong :premises (@p242 @p387) :args (@t195))
159.98/160.32	(step @p389 :rule trans :premises (@p388 @p386))
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p390 :rule trust :premises () :args (@t195))
159.98/160.32	(step @p391 :rule eq_resolve :premises (@p390 @p389))
159.98/160.32	(step @p392 :rule implies_elim :premises (@p391))
159.98/160.32	(step @p393 :rule bool-eq-false :args (@t175))
159.98/160.32	(step @p394 :rule eq-symm :args (false @t175))
159.98/160.32	(step @p395 :rule trans :premises (@p394 @p393))
159.98/160.32	(step @p396 :rule refl :args (@t175))
159.98/160.32	(step @p397 :rule absorb :args ((= (and false @t196) false)))
159.98/160.32	(step @p398 :rule refl :args (@t196))
159.98/160.32	(step @p399 :rule evaluate :args ((not true)))
159.98/160.32	(step @p400 :rule eq-refl :args (@t47))
159.98/160.32	(step @p401 :rule cong :premises (@p400) :args (@t197))
159.98/160.32	(step @p402 :rule trans :premises (@p401 @p399))
159.98/160.32	(step @p403 :rule nary_cong :premises (@p402 @p398) :args (@t198))
159.98/160.32	(step @p404 :rule trans :premises (@p403 @p397))
159.98/160.32	(step @p405 :rule cong :premises (@p404 @p396) :args (@t199))
159.98/160.32	(step @p406 :rule trans :premises (@p405 @p395))
159.98/160.32	(step @p407 :rule cong :premises (@p146 @p406) :args ((=> @t90 @t199)))
159.98/160.32	(assume-push @p912 @t90)
159.98/160.32	(step @p409 :rule instantiate :premises (@p162) :args ((@list @t47)))
159.98/160.32	(step-pop @p912 :rule scope :premises (@p409))
159.98/160.32	(step @p410 :rule process_scope :premises (@p912) :args (@t199))
159.98/160.32	(step @p412 :rule eq_resolve :premises (@p410 @p407))
159.98/160.32	(step @p413 :rule implies_elim :premises (@p412))
159.98/160.32	(step @p414 :rule chain_resolution :premises (@p413 @p162) :args (@t85 @t114))
159.98/160.32	(step @p415 :rule cnf_equiv_pos1 :args (@t200))
159.98/160.32	(step @p416 :rule reordering :premises (@p415) :args ((or @t201 @t175 (not @t200))))
159.98/160.32	(step @p417 :rule cnf_equiv_pos2 :args (@t202))
159.98/160.32	(step @p418 :rule reordering :premises (@p417) :args ((or @t192 (not @t174) (not @t202))))
159.98/160.32	(step @p419 :rule cnf_or_neg :args (@t181 0))
159.98/160.32	(step @p420 :rule quant-merge-prenex :args ((= (forall @t11 @t209) (forall (@list @t3 @t205) @t207))))
159.98/160.32	(step @p421 :rule refl :args (@t204))
159.98/160.32	(step @p422 :rule alpha_equiv :args (@t210 (@list @t205) @t211))
159.98/160.32	(step @p423 :rule nary_cong :premises (@p422 @p421) :args (@t212))
159.98/160.32	(step @p424 :rule quant-miniscope-or :args ((= @t209 @t212)))
159.98/160.32	(step @p425 :rule trans :premises (@p424 @p423))
159.98/160.32	(step @p426 :rule symm :premises (@p425))
159.98/160.32	(step @p427 :rule cong :premises (@p426) :args ((forall @t11 (or @t214 @t204))))
159.98/160.32	(step @p428 :rule trans :premises (@p427 @p420))
159.98/160.32	(step @p429 :rule refl :args ((_ @t3 @t13)))
159.98/160.32	(step @p430 :rule refl :args (@t203))
159.98/160.32	(step @p431 :rule cong :premises (@p430) :args (@t204))
159.98/160.32	(step @p432 :rule trans :premises (@p431 @p429))
159.98/160.32	(step @p433 :rule refl :args (@t3))
159.98/160.32	(step @p434 :rule ho_cong :premises (@p433 @p430))
159.98/160.32	(step @p435 :rule cong :premises (@p434 @p432) :args ((= (_ @t3 @t203) @t204)))
159.98/160.32	(step @p436 :rule symm :premises (@p435))
159.98/160.32	(step @p437 :rule refl :args (@t14))
159.98/160.32	(step @p438 :rule eq_resolve :premises (@p437 @p436))
159.98/160.32	(step @p439 :rule refl :args (@t13))
159.98/160.32	(step @p440 :rule cong :premises (@p439 @p430) :args ((= @t13 @t203)))
159.98/160.32	(step @p441 :rule symm :premises (@p440))
159.98/160.32	(step @p442 :rule eq_resolve :premises (@p439 @p441))
159.98/160.32	(step @p443 :rule ho_cong :premises (@p433 @p442))
159.98/160.32	(step @p444 :rule trans :premises (@p443 @p438))
159.98/160.32	(step @p445 :rule refl :args (@t214))
159.98/160.32	(step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t215))
159.98/160.32	(step @p447 :rule cong :premises (@p446) :args ((forall @t11 @t215)))
159.98/160.32	(step @p448 :rule trans :premises (@p447 @p428))
159.98/160.32	(step @p449 :rule bool-double-not-elim :args (@t214))
159.98/160.32	(step @p450 :rule nary_cong :premises (@p449 @p437) :args ((or @t217 @t14)))
159.98/160.32	(step @p451 :rule bool-impl-elim :args (@t216 @t14))
159.98/160.32	(step @p452 :rule trans :premises (@p451 @p450))
159.98/160.32	(step @p453 :rule cong :premises (@p452) :args ((forall @t11 (=> @t216 @t14))))
159.98/160.32	(step @p454 :rule trans :premises (@p453 @p448))
159.98/160.32	(step @p455 :rule refl :args (@t14))
159.98/160.32	(step @p456 :rule refl :args (@t213))
159.98/160.32	(step @p457 :rule refl :args (@t7))
159.98/160.32	(step @p458 :rule cong :premises (@p457 @p456) :args ((= @t7 @t213)))
159.98/160.32	(step @p459 :rule symm :premises (@p458))
159.98/160.32	(step @p460 :rule eq_resolve :premises (@p457 @p459))
159.98/160.32	(step @p461 :rule cong :premises (@p460) :args (@t218))
159.98/160.32	(step @p462 :rule cong :premises (@p461) :args (@t219))
159.98/160.32	(step @p463 :rule cong :premises (@p462) :args (@t220))
159.98/160.32	(step @p464 :rule exists-elim :args ((= @t9 @t220)))
159.98/160.32	(step @p465 :rule trans :premises (@p464 @p463))
159.98/160.32	(step @p466 :rule cong :premises (@p465 @p455) :args (@t15))
159.98/160.32	(step @p467 :rule cong :premises (@p466) :args (@t16))
159.98/160.32	(step @p468 :rule trans :premises (@p467 @p454))
159.98/160.32	(step @p469 :rule eq_resolve :premises (@p3 @p468))
159.98/160.32	(step @p470 :rule instantiate :premises (@p469) :args ((@list @t88 @t41)))
159.98/160.32	(step @p471 :rule cnf_or_pos :args (@t222))
159.98/160.32	(step @p472 :rule reordering :premises (@p471) :args ((or @t188 @t221 (not @t222))))
159.98/160.32	(step @p473 :rule cnf_and_neg :args (@t180))
159.98/160.32	(step @p474 :rule reordering :premises (@p473) :args ((or @t39 @t180 @t223)))
159.98/160.32	(step @p475 :rule cnf_equiv_pos1 :args (@t224))
159.98/160.32	(step @p476 :rule reordering :premises (@p475) :args ((or @t225 @t186 (not @t224))))
159.98/160.32	(step @p477 :rule cnf_or_pos :args (@t186))
159.98/160.32	(step @p478 :rule reordering :premises (@p477) :args ((or @t185 @t173 (not @t186))))
159.98/160.32	(step @p479 :rule cnf_and_pos :args (@t185 1))
159.98/160.32	(step @p480 :rule reordering :premises (@p479) :args ((or @t184 (not @t185))))
159.98/160.32	(step @p481 :rule refl :args (@t226))
159.98/160.32	(step @p482 :rule refl :args (@t227))
159.98/160.32	(step @p483 :rule refl :args (@t167))
159.98/160.32	(step @p484 :rule refl :args (@t122))
159.98/160.32	(step @p485 :rule refl :args (@t168))
159.98/160.32	(step @p486 :rule bool-double-not-elim :args (@t179))
159.98/160.32	(step @p487 :rule nary_cong :premises (@p486 @p485 @p484 @p483 @p482 @p481) :args ((or (not @t223) @t168 @t122 @t167 @t227 @t226)))
159.98/160.32	(assume-push @p914 @t184)
159.98/160.32	(assume-push @p915 @t123)
159.98/160.32	(assume-push @p916 @t165)
159.98/160.32	(assume-push @p917 @t223)
159.98/160.32	(step @p492 :rule evaluate :args (@t228))
159.98/160.32	(step @p493 :rule symm :premises (@p915))
159.98/160.32	(step @p494 :rule trans :premises (@p914 @p916 @p493))
159.98/160.32	(step @p495 :rule true_intro :premises (@p494))
159.98/160.32	(step @p496 :rule false_intro :premises (@p917))
159.98/160.32	(step @p497 :rule symm :premises (@p496))
159.98/160.32	(step @p498 :rule trans :premises (@p497 @p495))
159.98/160.32	(step @p499 false :rule eq_resolve :premises (@p498 @p492))
159.98/160.32	(step-pop @p917 :rule scope :premises (@p499))
159.98/160.32	(step-pop @p918 :rule scope :premises (@p917))
159.98/160.32	(step-pop @p919 :rule scope :premises (@p918))
159.98/160.32	(step-pop @p920 :rule scope :premises (@p919))
159.98/160.32	(step @p500 :rule process_scope :premises (@p920) :args (false))
159.98/160.32	(assume-push @p922 @t223)
159.98/160.32	(assume-push @p923 @t163)
159.98/160.32	(assume-push @p924 @t116)
159.98/160.32	(assume-push @p925 @t164)
159.98/160.32	(assume-push @p926 @t123)
159.98/160.32	(assume-push @p927 @t184)
159.98/160.32	(assume-push @p928 @t164)
159.98/160.32	(assume-push @p929 @t116)
159.98/160.32	(assume-push @p930 @t163)
159.98/160.32	(step @p317 :rule cong :premises (@p924) :args (@t155))
159.98/160.32	(step @p318 :rule symm :premises (@p924))
159.98/160.32	(step @p319 :rule cong :premises (@p318) :args (@t115))
159.98/160.32	(step @p320 :rule trans :premises (@p319 @p294 @p317 @p310))
159.98/160.32	(step-pop @p930 :rule scope :premises (@p320))
159.98/160.32	(step-pop @p931 :rule scope :premises (@p930))
159.98/160.32	(step-pop @p932 :rule scope :premises (@p931))
159.98/160.32	(step @p514 :rule process_scope :premises (@p932) :args (@t165))
159.98/160.32	(step @p518 :rule and_intro :premises (@p310 @p924 @p294))
159.98/160.32	(step @p519 :rule modus_ponens :premises (@p518 @p514))
159.98/160.32	(step @p520 :rule and_intro :premises (@p927 @p926 @p519 @p922))
159.98/160.32	(step-pop @p933 :rule scope :premises (@p520))
159.98/160.32	(step-pop @p934 :rule scope :premises (@p933))
159.98/160.32	(step-pop @p935 :rule scope :premises (@p934))
159.98/160.32	(step-pop @p936 :rule scope :premises (@p935))
159.98/160.32	(step-pop @p937 :rule scope :premises (@p936))
159.98/160.32	(step-pop @p938 :rule scope :premises (@p937))
159.98/160.32	(step @p521 :rule process_scope :premises (@p938) :args (@t229))
159.98/160.32	(step @p528 :rule implies_elim :premises (@p521))
159.98/160.32	(step @p529 :rule resolution :premises (@p528 @p500) :args (true @t229))
159.98/160.32	(step @p530 :rule not_and :premises (@p529))
159.98/160.32	(step @p531 :rule eq_resolve :premises (@p530 @p487))
159.98/160.32	(step @p532 :rule reordering :premises (@p531) :args ((or @t179 @t168 @t167 @t122 @t227 @t226)))
159.98/160.32	(step @p533 :rule chain_resolution :premises (@p532 @p310 @p294 @p480 @p478 @p476 @p474 @p472 @p470 @p419 @p418 @p416 @p414 @p392 @p376 @p358 @p230 @p340 @p338) :args ((@list false false false false false true false false true false true true false false false false false true) (@list @t164 @t163 @t184 @t185 @t186 @t179 @t188 @t222 @t180 @t192 @t181 @t175 @t202 @t224 @t200 @t123 @t174 @t173)))
159.98/160.32	(step @p534 :rule factoring :premises (@p533))
159.98/160.32	(step @p535 :rule reordering :premises (@p534) :args ((or @t39 @t122)))
159.98/160.32	(step @p536 :rule cnf_and_pos :args (@t102 0))
159.98/160.32	(step @p537 :rule reordering :premises (@p536) :args ((or @t39 @t230)))
159.98/160.32	(step @p538 :rule eq-symm :args (@t104 @t109))
159.98/160.32	(step @p539 :rule cong :premises (@p185 @p188) :args (@t231))
159.98/160.32	(step @p540 :rule trans :premises (@p539 @p538))
159.98/160.32	(step @p541 :rule cong :premises (@p540) :args (@t232))
159.98/160.32	(step @p542 :rule nary_cong :premises (@p209 @p541) :args (@t233))
159.98/160.32	; trust TRUST THEORY_LEMMA
159.98/160.32	(step @p543 :rule trust :premises () :args (@t233))
159.98/160.32	(step @p544 :rule eq_resolve :premises (@p543 @p542))
159.98/160.32	(step @p545 :rule cnf_equiv_neg2 :args (@t234))
159.98/160.32	(step @p546 :rule cnf_equiv_pos1 :args (@t236))
159.98/160.32	(step @p547 :rule reordering :premises (@p546) :args ((or @t238 @t235 @t237)))
159.98/160.32	(step @p548 :rule cnf_and_pos :args (@t235 1))
159.98/160.32	(step @p549 :rule reordering :premises (@p548) :args ((or @t104 @t239)))
159.98/160.32	(step @p550 :rule chain_resolution :premises (@p549 @p547 @p206 @p545) :args ((@list false false true) (@list @t235 @t236 @t104)))
159.98/160.32	(step @p551 :rule factoring :premises (@p550))
159.98/160.32	(step @p552 :rule reordering :premises (@p551) :args ((or @t234 @t238)))
159.98/160.32	(step @p553 :rule cnf_equiv_neg1 :args (@t234))
159.98/160.32	(step @p554 :rule reordering :premises (@p553) :args ((or @t109 @t104 @t234)))
159.98/160.32	(step @p555 :rule cnf_equiv_pos2 :args (@t236))
159.98/160.32	(step @p556 :rule reordering :premises (@p555) :args ((or @t109 @t239 @t237)))
159.98/160.32	(step @p557 :rule cnf_or_pos :args (@t104))
159.98/160.32	(step @p558 :rule reordering :premises (@p557) :args ((or @t103 @t102 @t240)))
159.98/160.32	(step @p559 :rule refl :args (@t240))
159.98/160.32	(step @p560 :rule bool-double-not-elim :args (@t106))
159.98/160.32	(step @p561 :rule refl :args (@t235))
159.98/160.32	(step @p562 :rule nary_cong :premises (@p561 @p560 @p559) :args ((or @t235 (not @t107) @t240)))
159.98/160.32	(step @p563 :rule cnf_and_neg :args (@t235))
159.98/160.32	(step @p564 :rule eq_resolve :premises (@p563 @p562))
159.98/160.32	(step @p565 :rule reordering :premises (@p564) :args ((or @t240 @t106 @t235)))
159.98/160.32	(step @p566 :rule cnf_and_pos :args (@t103 1))
159.98/160.32	(step @p567 :rule reordering :premises (@p566) :args ((or @t96 @t241)))
159.98/160.32	(assume-push @p940 @t96)
159.98/160.32	(assume-push @p941 @t106)
159.98/160.32	(assume-push @p942 @t106)
159.98/160.32	(assume-push @p943 @t96)
159.98/160.32	(step @p572 :rule symm :premises (@p941))
159.98/160.32	(step @p573 :rule trans :premises (@p940 @p572))
159.98/160.32	(step-pop @p943 :rule scope :premises (@p573))
159.98/160.32	(step-pop @p944 :rule scope :premises (@p943))
159.98/160.32	(step @p574 :rule process_scope :premises (@p944) :args (@t179))
159.98/160.32	(step @p577 :rule and_intro :premises (@p941 @p940))
159.98/160.32	(step @p578 :rule modus_ponens :premises (@p577 @p574))
159.98/160.32	(step-pop @p945 :rule scope :premises (@p578))
159.98/160.32	(step-pop @p946 :rule scope :premises (@p945))
159.98/160.32	(step @p579 :rule process_scope :premises (@p946) :args (@t179))
159.98/160.32	(step @p582 :rule implies_elim :premises (@p579))
159.98/160.32	(step @p583 :rule cnf_and_neg :args (@t242))
159.98/160.32	(step @p584 :rule resolution :premises (@p583 @p582) :args (true @t242))
159.98/160.32	(step @p585 :rule reordering :premises (@p584) :args ((or @t179 @t243 @t107)))
159.98/160.32	(step @p586 :rule quant-merge-prenex :args ((= (forall @t11 @t251) @t249)))
159.98/160.32	(step @p587 :rule refl :args (@t245))
159.98/160.32	(step @p588 :rule alpha_equiv :args (@t252 (@list @t246) @t211))
159.98/160.32	(step @p589 :rule nary_cong :premises (@p588 @p587) :args (@t253))
159.98/160.32	(step @p590 :rule quant-miniscope-or :args ((= @t251 @t253)))
159.98/160.32	(step @p591 :rule trans :premises (@p590 @p589))
159.98/160.32	(step @p592 :rule symm :premises (@p591))
159.98/160.32	(step @p593 :rule cong :premises (@p592) :args ((forall @t11 (or @t214 @t245))))
159.98/160.32	(step @p594 :rule trans :premises (@p593 @p586))
159.98/160.32	(step @p595 :rule refl :args ((_ @t3 @t4)))
159.98/160.32	(step @p596 :rule refl :args (@t244))
159.98/160.32	(step @p597 :rule cong :premises (@p596) :args (@t245))
159.98/160.32	(step @p598 :rule trans :premises (@p597 @p595))
159.98/160.32	(step @p599 :rule ho_cong :premises (@p433 @p596))
159.98/160.32	(step @p600 :rule cong :premises (@p599 @p598) :args ((= (_ @t3 @t244) @t245)))
159.98/160.32	(step @p601 :rule symm :premises (@p600))
159.98/160.32	(step @p602 :rule refl :args (@t5))
159.98/160.32	(step @p603 :rule eq_resolve :premises (@p602 @p601))
159.98/160.32	(step @p604 :rule refl :args (@t4))
159.98/160.32	(step @p605 :rule cong :premises (@p604 @p596) :args ((= @t4 @t244)))
159.98/160.32	(step @p606 :rule symm :premises (@p605))
159.98/160.32	(step @p607 :rule eq_resolve :premises (@p604 @p606))
159.98/160.32	(step @p608 :rule ho_cong :premises (@p433 @p607))
159.98/160.32	(step @p609 :rule trans :premises (@p608 @p603))
159.98/160.32	(step @p610 :rule nary_cong :premises (@p445 @p609) :args (@t254))
159.98/160.32	(step @p611 :rule cong :premises (@p610) :args ((forall @t11 @t254)))
159.98/160.32	(step @p612 :rule trans :premises (@p611 @p594))
159.98/160.32	(step @p613 :rule nary_cong :premises (@p449 @p602) :args ((or @t217 @t5)))
159.98/160.32	(step @p614 :rule bool-impl-elim :args (@t216 @t5))
159.98/160.32	(step @p615 :rule trans :premises (@p614 @p613))
159.98/160.32	(step @p616 :rule cong :premises (@p615) :args ((forall @t11 (=> @t216 @t5))))
159.98/160.32	(step @p617 :rule trans :premises (@p616 @p612))
159.98/160.32	(step @p618 :rule refl :args (@t5))
159.98/160.32	(step @p619 :rule cong :premises (@p465 @p618) :args (@t10))
159.98/160.32	(step @p620 :rule cong :premises (@p619) :args (@t12))
159.98/160.32	(step @p621 :rule trans :premises (@p620 @p617))
159.98/160.32	(step @p622 :rule eq_resolve :premises (@p2 @p621))
159.98/160.32	(step @p623 :rule aci_norm :args ((= (or @t201 @t258) @t257)))
159.98/160.32	(step @p624 :rule eq-refl :args (@t260))
159.98/160.32	(step @p625 :rule eq-symm :args (@t259 @t35))
159.98/160.32	(step @p626 :rule nary_cong :premises (@p68 @p625) :args (@t261))
159.98/160.32	(step @p627 :rule eq-symm :args (@t259 @t41))
159.98/160.32	(step @p628 :rule nary_cong :premises (@p71 @p627) :args (@t262))
159.98/160.32	(step @p629 :rule nary_cong :premises (@p628 @p626) :args (@t263))
159.98/160.32	(step @p630 :rule beta-reduce :args ((= @t264 @t263)))
159.98/160.32	(step @p631 :rule trans :premises (@p630 @p629))
159.98/160.32	(step @p632 :rule refl :args (@t260))
159.98/160.32	(step @p633 :rule cong :premises (@p632 @p631) :args ((= @t260 @t264)))
159.98/160.32	(step @p634 :rule trans :premises (@p633 @p624))
159.98/160.32	(step @p635 :rule eq-symm :args (@t264 @t260))
159.98/160.32	(step @p636 :rule trans :premises (@p635 @p634))
159.98/160.32	(step @p637 :rule cong :premises (@p59) :args (@t48))
159.98/160.32	(step @p638 :rule cong :premises (@p81 @p637) :args (@t169))
159.98/160.32	(step @p639 :rule nary_cong :premises (@p52 @p638) :args (@t170))
159.98/160.32	(step @p640 :rule cong :premises (@p82 @p637) :args (@t255))
159.98/160.32	(step @p641 :rule nary_cong :premises (@p51 @p640) :args (@t256))
159.98/160.32	(step @p642 :rule nary_cong :premises (@p641 @p639) :args (@t258))
159.98/160.32	(step @p643 :rule ho_cong :premises (@p59 @p637))
159.98/160.32	(step @p644 :rule cong :premises (@p643 @p642) :args ((= @t265 @t258)))
159.98/160.32	(step @p645 :rule trans :premises (@p644 @p636))
159.98/160.32	(step @p646 :rule true_elim :premises (@p645))
159.98/160.32	(step @p647 :rule eq-refl :args (@t266))
159.98/160.32	(step @p648 :rule eq-symm :args (@t119 @t35))
159.98/160.32	(step @p649 :rule nary_cong :premises (@p68 @p648) :args (@t267))
159.98/160.32	(step @p650 :rule eq-symm :args (@t119 @t41))
159.98/160.32	(step @p651 :rule nary_cong :premises (@p71 @p650) :args (@t268))
159.98/160.32	(step @p652 :rule nary_cong :premises (@p651 @p649) :args (@t269))
159.98/160.32	(step @p653 :rule beta-reduce :args ((= @t270 @t269)))
159.98/160.32	(step @p654 :rule trans :premises (@p653 @p652))
159.98/160.32	(step @p655 :rule refl :args (@t266))
159.98/160.32	(step @p656 :rule cong :premises (@p655 @p654) :args ((= @t266 @t270)))
159.98/160.32	(step @p657 :rule trans :premises (@p656 @p647))
159.98/160.32	(step @p658 :rule eq-symm :args (@t270 @t266))
159.98/160.32	(step @p659 :rule trans :premises (@p658 @p657))
159.98/160.32	(step @p660 :rule cong :premises (@p81 @p213) :args (@t177))
159.98/160.32	(step @p661 :rule nary_cong :premises (@p52 @p660) :args (@t178))
159.98/160.32	(step @p662 :rule cong :premises (@p82 @p213) :args (@t179))
159.98/160.32	(step @p663 :rule nary_cong :premises (@p51 @p662) :args (@t180))
159.98/160.32	(step @p664 :rule nary_cong :premises (@p663 @p661) :args (@t181))
159.98/160.32	(step @p665 :rule ho_cong :premises (@p59 @p213))
159.98/160.32	(step @p666 :rule cong :premises (@p665 @p664) :args ((= @t196 @t181)))
159.98/160.32	(step @p667 :rule trans :premises (@p666 @p659))
159.98/160.32	(step @p668 :rule true_elim :premises (@p667))
159.98/160.32	(step @p669 :rule cong :premises (@p668) :args (@t271))
159.98/160.32	(step @p670 :rule nary_cong :premises (@p669 @p646) :args (@t272))
159.98/160.32	(step @p671 :rule trans :premises (@p670 @p623))
159.98/160.32	(step @p672 :rule refl :args (@t249))
159.98/160.32	(step @p673 :rule cong :premises (@p672 @p671) :args ((=> @t249 @t272)))
159.98/160.32	(assume-push @p948 @t249)
159.98/160.32	(step @p675 :rule instantiate :premises (@p622) :args ((@list @t46 @t47)))
159.98/160.32	(step-pop @p948 :rule scope :premises (@p675))
159.98/160.32	(step @p676 :rule process_scope :premises (@p948) :args (@t272))
159.98/160.32	(step @p678 :rule eq_resolve :premises (@p676 @p673))
159.98/160.32	(step @p679 :rule implies_elim :premises (@p678))
159.98/160.32	(step @p680 :rule chain_resolution :premises (@p679 @p622) :args (@t85 (@list @t249)))
159.98/160.32	(step @p681 :rule cnf_or_pos :args (@t257))
159.98/160.32	(step @p682 :rule reordering :premises (@p681) :args ((or @t256 @t170 @t201 (not @t257))))
159.98/160.32	(step @p683 :rule cnf_and_pos :args (@t256 1))
159.98/160.32	(step @p684 :rule reordering :premises (@p683) :args ((or @t255 @t273)))
159.98/160.32	(step @p685 :rule refl :args (@t243))
159.98/160.32	(step @p686 :rule refl :args (@t274))
159.98/160.32	(step @p687 :rule bool-double-not-elim :args (@t275))
159.98/160.32	(step @p688 :rule nary_cong :premises (@p687 @p686 @p685 @p186) :args ((or @t277 @t274 @t243 @t107)))
159.98/160.32	(assume-push @p950 @t106)
159.98/160.32	(assume-push @p951 @t96)
159.98/160.32	(assume-push @p952 @t255)
159.98/160.32	(assume-push @p953 @t276)
159.98/160.32	(step @p492 :rule evaluate :args (@t228))
159.98/160.32	(step @p693 :rule symm :premises (@p950))
159.98/160.32	(step @p694 :rule symm :premises (@p952))
159.98/160.32	(step @p695 :rule trans :premises (@p694 @p951 @p693))
159.98/160.32	(step @p696 :rule true_intro :premises (@p695))
159.98/160.32	(step @p697 :rule false_intro :premises (@p123))
159.98/160.32	(step @p698 :rule symm :premises (@p697))
159.98/160.32	(step @p699 :rule trans :premises (@p698 @p696))
159.98/160.32	(step @p700 false :rule eq_resolve :premises (@p699 @p492))
159.98/160.32	(step-pop @p953 :rule scope :premises (@p700))
159.98/160.32	(step-pop @p954 :rule scope :premises (@p953))
159.98/160.32	(step-pop @p955 :rule scope :premises (@p954))
159.98/160.32	(step-pop @p956 :rule scope :premises (@p955))
159.98/160.32	(step @p701 :rule process_scope :premises (@p956) :args (false))
159.98/160.32	(assume-push @p958 @t276)
159.98/160.32	(assume-push @p959 @t255)
159.98/160.32	(assume-push @p960 @t96)
159.98/160.32	(assume-push @p961 @t106)
159.98/160.32	(step @p710 :rule and_intro :premises (@p961 @p960 @p959 @p123))
159.98/160.32	(step-pop @p961 :rule scope :premises (@p710))
159.98/160.32	(step-pop @p962 :rule scope :premises (@p961))
159.98/160.32	(step-pop @p963 :rule scope :premises (@p962))
159.98/160.32	(step-pop @p964 :rule scope :premises (@p963))
159.98/160.32	(step @p711 :rule process_scope :premises (@p964) :args (@t278))
159.98/160.32	(step @p716 :rule implies_elim :premises (@p711))
159.98/160.32	(step @p717 :rule resolution :premises (@p716 @p701) :args (true @t278))
159.98/160.32	(step @p718 :rule not_and :premises (@p717))
159.98/160.32	(step @p719 :rule eq_resolve :premises (@p718 @p688))
159.98/160.32	(step @p720 :rule chain_resolution :premises (@p719 @p123 @p684 @p682 @p680 @p419 @p474 @p585) :args ((@list true false false false false false false) (@list @t275 @t255 @t256 @t257 @t181 @t180 @t179)))
159.98/160.32	(step @p721 :rule factoring :premises (@p720))
159.98/160.32	(step @p722 :rule chain_resolution :premises (@p721 @p567 @p565 @p558 @p556 @p206) :args ((@list false false false true false) (@list @t96 @t106 @t103 @t235 @t236)))
159.98/160.32	(step @p723 :rule factoring :premises (@p722))
159.98/160.32	(step @p724 :rule chain_resolution :premises (@p723 @p554) :args (@t85 (@list @t104)))
159.98/160.32	(step @p725 :rule factoring :premises (@p724))
159.98/160.32	(step @p726 :rule chain_resolution :premises (@p725 @p552) :args (@t67 (@list @t109)))
159.98/160.32	(step @p727 :rule factoring :premises (@p726))
159.98/160.32	(step @p728 :rule chain_resolution :premises (@p727 @p544 @p537 @p535 @p336) :args ((@list true true true true) (@list @t234 @t102 @t116 @t170)))
159.98/160.32	(step @p729 :rule factoring :premises (@p728))
159.98/160.32	(step @p730 :rule bool-double-not-elim :args (@t38))
159.98/160.32	(step @p731 :rule nary_cong :premises (@p237 @p730) :args ((or @t125 @t279)))
159.98/160.32	(step @p732 :rule cnf_or_neg :args (@t125 1))
159.98/160.32	(step @p733 :rule eq_resolve :premises (@p732 @p731))
159.98/160.32	(step @p734 :rule reordering :premises (@p733) :args ((or @t38 @t125)))
159.98/160.32	(step @p735 :rule chain_resolution :premises (@p734 @p729) :args (@t67 @t280))
159.98/160.32	(step @p736 :rule cnf_equiv_pos2 :args (@t281))
159.98/160.32	(step @p737 :rule reordering :premises (@p736) :args ((or @t126 (not @t125) (not @t281))))
159.98/160.32	(step @p738 :rule instantiate :premises (@p469) :args ((@list @t88 @t35)))
159.98/160.32	(step @p739 :rule cnf_or_pos :args (@t283))
159.98/160.32	(step @p740 :rule reordering :premises (@p739) :args ((or @t188 @t282 (not @t283))))
159.98/160.32	(step @p741 :rule eq-refl :args (@t284))
159.98/160.32	(step @p742 :rule eq-symm :args (@t115 @t35))
159.98/160.32	(step @p743 :rule nary_cong :premises (@p68 @p742) :args (@t285))
159.98/160.32	(step @p744 :rule eq-symm :args (@t115 @t41))
159.98/160.32	(step @p745 :rule nary_cong :premises (@p71 @p744) :args (@t286))
159.98/160.32	(step @p746 :rule nary_cong :premises (@p745 @p743) :args (@t287))
159.98/160.32	(step @p747 :rule beta-reduce :args ((= @t288 @t287)))
159.98/160.32	(step @p748 :rule trans :premises (@p747 @p746))
159.98/160.32	(step @p749 :rule refl :args (@t284))
159.98/160.32	(step @p750 :rule cong :premises (@p749 @p748) :args ((= @t284 @t288)))
159.98/160.32	(step @p751 :rule trans :premises (@p750 @p741))
159.98/160.32	(step @p752 :rule ho_cong :premises (@p59 @p211))
159.98/160.32	(step @p753 :rule refl :args (@t172))
159.98/160.32	(step @p754 :rule nary_cong :premises (@p52 @p753) :args (@t173))
159.98/160.32	(step @p755 :rule refl :args (@t184))
159.98/160.32	(step @p756 :rule nary_cong :premises (@p51 @p755) :args (@t185))
159.98/160.32	(step @p757 :rule nary_cong :premises (@p756 @p754) :args (@t186))
159.98/160.32	(step @p758 :rule cong :premises (@p757 @p752) :args ((= @t186 @t289)))
159.98/160.32	(step @p759 :rule eq-symm :args (@t289 @t186))
159.98/160.32	(step @p760 :rule trans :premises (@p759 @p758 @p751))
159.98/160.32	(step @p761 :rule true_elim :premises (@p760))
159.98/160.32	(step @p762 :rule refl :args (@t291))
159.98/160.32	(step @p763 :rule nary_cong :premises (@p762 @p761) :args (@t292))
159.98/160.32	(step @p764 :rule refl :args (@t188))
159.98/160.32	(step @p765 :rule cong :premises (@p764 @p763) :args (@t293))
159.98/160.32	(step @p766 :rule cong :premises (@p146 @p765) :args ((=> @t90 @t293)))
159.98/160.32	(step @p767 :rule refl :args (@t289))
159.98/160.32	(step @p768 :rule eq-symm :args (@t115 @t47))
159.98/160.32	(step @p769 :rule cong :premises (@p768) :args (@t294))
159.98/160.32	(step @p770 :rule nary_cong :premises (@p769 @p767) :args (@t295))
159.98/160.32	(step @p771 :rule cong :premises (@p764 @p770) :args ((= @t188 @t295)))
159.98/160.32	(step @p772 :rule eq-symm :args (@t295 @t188))
159.98/160.32	(step @p773 :rule trans :premises (@p772 @p771))
159.98/160.32	(step @p774 :rule cong :premises (@p146 @p773) :args ((=> @t90 @t296)))
159.98/160.32	(assume-push @p966 @t90)
159.98/160.32	(step @p776 :rule instantiate :premises (@p162) :args ((@list @t115)))
159.98/160.32	(step-pop @p966 :rule scope :premises (@p776))
159.98/160.32	(step @p777 :rule process_scope :premises (@p966) :args (@t296))
159.98/160.32	(step @p779 :rule eq_resolve :premises (@p777 @p774))
159.98/160.32	(step @p780 :rule eq_resolve :premises (@p779 @p766))
159.98/160.32	(step @p781 :rule implies_elim :premises (@p780))
159.98/160.32	(step @p782 :rule chain_resolution :premises (@p781 @p162) :args (@t85 @t114))
159.98/160.32	(step @p783 :rule cnf_equiv_pos1 :args (@t298))
159.98/160.32	(step @p784 :rule reordering :premises (@p783) :args ((or @t225 @t297 (not @t298))))
159.98/160.32	(step @p785 :rule cnf_and_pos :args (@t297 0))
159.98/160.32	(step @p786 :rule reordering :premises (@p785) :args ((or @t291 (not @t297))))
159.98/160.32	(assume-push @p968 @t123)
159.98/160.32	(assume-push @p969 @t165)
159.98/160.32	(assume-push @p970 @t165)
159.98/160.32	(assume-push @p971 @t123)
159.98/160.32	(step @p791 :rule symm :premises (@p969))
159.98/160.32	(step @p792 :rule trans :premises (@p968 @p791))
159.98/160.32	(step-pop @p971 :rule scope :premises (@p792))
159.98/160.32	(step-pop @p972 :rule scope :premises (@p971))
159.98/160.32	(step @p793 :rule process_scope :premises (@p972) :args (@t290))
159.98/160.32	(step @p796 :rule and_intro :premises (@p969 @p968))
159.98/160.32	(step @p797 :rule modus_ponens :premises (@p796 @p793))
159.98/160.32	(step-pop @p973 :rule scope :premises (@p797))
159.98/160.32	(step-pop @p974 :rule scope :premises (@p973))
159.98/160.32	(step @p798 :rule process_scope :premises (@p974) :args (@t290))
159.98/160.32	(step @p801 :rule implies_elim :premises (@p798))
159.98/160.32	(step @p802 :rule cnf_and_neg :args (@t299))
159.98/160.32	(step @p803 :rule resolution :premises (@p802 @p801) :args (true @t299))
159.98/160.32	(step @p804 :rule chain_resolution :premises (@p803 @p786 @p784 @p782 @p740 @p738 @p737 @p735 @p334 @p310 @p294 @p247 @p230) :args ((@list true false false false false false false false false false false false) (@list @t290 @t297 @t298 @t188 @t283 @t126 @t125 @t165 @t164 @t163 @t281 @t123)))
159.98/160.32	(step @p805 :rule factoring :premises (@p804))
159.98/160.32	(step @p806 :rule chain_resolution :premises (@p544 @p805) :args (@t67 (@list @t116)))
159.98/160.32	(step @p807 :rule chain_resolution :premises (@p552 @p806) :args (@t67 (@list @t234)))
159.98/160.32	(step @p808 :rule chain_resolution :premises (@p556 @p807 @p206) :args (@t300 (@list @t109 @t236)))
159.98/160.32	(step @p809 :rule chain_resolution :premises (@p554 @p807 @p806) :args ((@list true true) (@list @t109 @t234)))
159.98/160.32	(step @p810 :rule chain_resolution :premises (@p565 @p809 @p808) :args ((@list false true) (@list @t104 @t235)))
159.98/160.32	(step @p811 :rule cnf_and_pos :args (@t103 0))
159.98/160.32	(step @p812 :rule reordering :premises (@p811) :args ((or @t38 @t241)))
159.98/160.32	(step @p813 :rule chain_resolution :premises (@p812 @p729) :args (@t67 @t280))
159.98/160.32	(step @p814 :rule chain_resolution :premises (@p558 @p813 @p809) :args (@t300 (@list @t103 @t104)))
159.98/160.32	(step @p815 :rule cnf_and_pos :args (@t102 1))
159.98/160.32	(step @p816 :rule reordering :premises (@p815) :args ((or @t95 @t230)))
159.98/160.32	(step @p817 :rule chain_resolution :premises (@p816 @p814) :args (@t85 (@list @t102)))
159.98/160.32	(assume-push @p976 @t95)
159.98/160.32	(assume-push @p977 @t106)
159.98/160.32	(assume-push @p978 @t106)
159.98/160.32	(assume-push @p979 @t95)
159.98/160.32	(step @p822 :rule symm :premises (@p977))
159.98/160.32	(step @p823 :rule trans :premises (@p976 @p822))
159.98/160.32	(step-pop @p979 :rule scope :premises (@p823))
159.98/160.32	(step-pop @p980 :rule scope :premises (@p979))
159.98/160.32	(step @p824 :rule process_scope :premises (@p980) :args (@t177))
159.98/160.32	(step @p827 :rule and_intro :premises (@p977 @p976))
159.98/160.32	(step @p828 :rule modus_ponens :premises (@p827 @p824))
159.98/160.32	(step-pop @p981 :rule scope :premises (@p828))
159.98/160.32	(step-pop @p982 :rule scope :premises (@p981))
159.98/160.32	(step @p829 :rule process_scope :premises (@p982) :args (@t177))
159.98/160.32	(step @p832 :rule implies_elim :premises (@p829))
159.98/160.32	(step @p833 :rule cnf_and_neg :args (@t301))
159.98/160.32	(step @p834 :rule resolution :premises (@p833 @p832) :args (true @t301))
159.98/160.32	(step @p835 :rule reordering :premises (@p834) :args ((or @t177 @t302 @t107)))
159.98/160.32	(step @p836 :rule chain_resolution :premises (@p835 @p817 @p810) :args ((@list false false) (@list @t95 @t106)))
159.98/160.32	(step @p837 :rule refl :args (@t303))
159.98/160.32	(step @p838 :rule refl :args (@t178))
159.98/160.32	(step @p839 :rule nary_cong :premises (@p838 @p730 @p837) :args ((or @t178 @t279 @t303)))
159.98/160.32	(step @p840 :rule cnf_and_neg :args (@t178))
159.98/160.32	(step @p841 :rule eq_resolve :premises (@p840 @p839))
159.98/160.32	(step @p842 :rule reordering :premises (@p841) :args ((or @t38 @t178 @t303)))
159.98/160.32	(step @p843 :rule chain_resolution :premises (@p842 @p729 @p836) :args (@t300 (@list @t38 @t177)))
159.98/160.32	(step @p844 :rule cnf_or_neg :args (@t181 1))
159.98/160.32	(step @p845 :rule chain_resolution :premises (@p844 @p843) :args (@t85 (@list @t178)))
159.98/160.32	(step @p846 :rule cnf_and_pos :args (@t256 0))
159.98/160.32	(step @p847 :rule reordering :premises (@p846) :args ((or @t38 @t273)))
159.98/160.32	(step @p848 :rule chain_resolution :premises (@p847 @p729) :args (@t67 @t280))
159.98/160.32	(step @p849 :rule chain_resolution :premises (@p682 @p848 @p845 @p680) :args ((@list true false false) (@list @t256 @t181 @t257)))
159.98/160.32	(step @p850 :rule cnf_and_pos :args (@t170 1))
159.98/160.32	(step @p851 :rule reordering :premises (@p850) :args ((or @t169 @t171)))
159.98/160.32	(step @p852 :rule chain_resolution :premises (@p851 @p849) :args (@t85 (@list @t170)))
159.98/160.32	(step @p853 :rule refl :args (@t302))
159.98/160.32	(step @p854 :rule refl :args (@t304))
159.98/160.32	(step @p855 :rule nary_cong :premises (@p687 @p854 @p853 @p186) :args ((or @t277 @t304 @t302 @t107)))
159.98/160.32	(assume-push @p984 @t106)
159.98/160.32	(assume-push @p985 @t95)
159.98/160.32	(assume-push @p986 @t169)
159.98/160.32	(assume-push @p987 @t276)
159.98/160.32	(step @p492 :rule evaluate :args (@t228))
159.98/160.32	(step @p860 :rule symm :premises (@p984))
159.98/160.32	(step @p861 :rule symm :premises (@p986))
159.98/160.32	(step @p862 :rule trans :premises (@p861 @p985 @p860))
159.98/160.32	(step @p863 :rule true_intro :premises (@p862))
159.98/160.32	(step @p697 :rule false_intro :premises (@p123))
159.98/160.32	(step @p698 :rule symm :premises (@p697))
159.98/160.32	(step @p864 :rule trans :premises (@p698 @p863))
159.98/160.32	(step @p865 false :rule eq_resolve :premises (@p864 @p492))
159.98/160.32	(step-pop @p987 :rule scope :premises (@p865))
159.98/160.32	(step-pop @p988 :rule scope :premises (@p987))
159.98/160.32	(step-pop @p989 :rule scope :premises (@p988))
159.98/160.32	(step-pop @p990 :rule scope :premises (@p989))
159.98/160.32	(step @p866 :rule process_scope :premises (@p990) :args (false))
159.98/160.32	(assume-push @p992 @t276)
159.98/160.32	(assume-push @p993 @t169)
159.98/160.32	(assume-push @p994 @t95)
159.98/160.32	(assume-push @p995 @t106)
159.98/160.32	(step @p875 :rule and_intro :premises (@p995 @p994 @p993 @p123))
159.98/160.33	(step-pop @p995 :rule scope :premises (@p875))
159.98/160.33	(step-pop @p996 :rule scope :premises (@p995))
159.98/160.33	(step-pop @p997 :rule scope :premises (@p996))
159.98/160.33	(step-pop @p998 :rule scope :premises (@p997))
159.98/160.33	(step @p876 :rule process_scope :premises (@p998) :args (@t305))
159.98/160.33	(step @p881 :rule implies_elim :premises (@p876))
159.98/160.33	(step @p882 :rule resolution :premises (@p881 @p866) :args (true @t305))
159.98/160.33	(step @p883 :rule not_and :premises (@p882))
159.98/160.33	(step @p884 :rule eq_resolve :premises (@p883 @p855))
159.98/160.33	(step @p885 false :rule chain_resolution :premises (@p884 @p852 @p817 @p810 @p123) :args ((@list false false false true) (@list @t169 @t95 @t106 @t275)))
159.98/160.33	)
159.98/160.33	% SZS output end Proof
159.98/160.33	% cvc5 exiting
159.98/160.33	EOF