0.06/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Fri Sep  5 18:20:37 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.48	%----Proving TH0
164.36/164.62	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
164.36/164.62	--- 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...
164.36/164.62	--- 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...
164.36/164.62	--- Run --ho-elim --full-saturate-quant at 14s...
164.36/164.62	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
164.36/164.62	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
164.36/164.62	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
164.36/164.62	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
164.36/164.62	--- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 16s...
164.36/164.62	% SZS status Theorem
164.36/164.62	% SZS output start Proof
164.36/164.62	(
164.36/164.62	(declare-type tptp.a ())
164.36/164.62	(define @t1 () (@var "Xy1" tptp.a))
164.36/164.62	(define @t2 () (@var "Xx1" tptp.a))
164.36/164.62	(define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t4 () (_ (_ @t3 @t2) @t1))
164.36/164.62	(define @t5 () (@var "Xy" tptp.a))
164.36/164.62	(define @t6 () (@var "Xx" tptp.a))
164.36/164.62	(define @t7 () (_ @t3 @t6))
164.36/164.62	(define @t8 () (_ @t7 @t5))
164.36/164.62	(define @t9 () (@var "R" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t10 () (_ (_ @t9 @t6) @t5))
164.36/164.62	(define @t11 () (@var "Xy10" tptp.a))
164.36/164.62	(define @t12 () (@var "Xx10" tptp.a))
164.36/164.62	(define @t13 () (@var "Xp10" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t14 () (_ (_ @t13 @t12) @t11))
164.36/164.62	(define @t15 () (@var "Xz" tptp.a))
164.36/164.62	(define @t16 () (@var "Xx0" tptp.a))
164.36/164.62	(define @t17 () (_ @t13 @t16))
164.36/164.62	(define @t18 () (_ @t17 @t15))
164.36/164.62	(define @t19 () (@var "Xy0" tptp.a))
164.36/164.62	(define @t20 () (_ @t17 @t19))
164.36/164.62	(define @t21 () (_ (_ @t13 @t19) @t15))
164.36/164.62	(define @t22 () (and @t21 @t20))
164.36/164.62	(define @t23 () (@list @t16 @t19 @t15))
164.36/164.62	(define @t24 () (forall @t23 (=> @t22 @t18)))
164.36/164.62	(define @t25 () (@var "Q" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t26 () (_ (_ @t25 @t16) @t19))
164.36/164.62	(define @t27 () (@list @t16 @t19))
164.36/164.62	(define @t28 () (forall @t27 (=> @t26 @t20)))
164.36/164.62	(define @t29 () (and @t28 @t24))
164.36/164.62	(define @t30 () (=> @t29 @t14))
164.36/164.62	(define @t31 () (@list @t13))
164.36/164.62	(define @t32 () (forall @t31 @t30))
164.36/164.62	(define @t33 () (@list @t12 @t11))
164.36/164.62	(define @t34 () (lambda @t33 @t32))
164.36/164.62	(define @t35 () (= @t9 @t34))
164.36/164.62	(define @t36 () (@var "S" (-> (-> tptp.a tptp.a Bool) Bool)))
164.36/164.62	(define @t37 () (_ @t36 @t25))
164.36/164.62	(define @t38 () (and @t37 @t35))
164.36/164.62	(define @t39 () (@list @t25))
164.36/164.62	(define @t40 () (exists @t39 @t38))
164.36/164.62	(define @t41 () (and @t40 @t10))
164.36/164.62	(define @t42 () (@list @t9))
164.36/164.62	(define @t43 () (exists @t42 @t41))
164.36/164.62	(define @t44 () (=> @t43 @t8))
164.36/164.62	(define @t45 () (@list @t6 @t5))
164.36/164.62	(define @t46 () (forall @t45 @t44))
164.36/164.62	(define @t47 () (_ @t7 @t15))
164.36/164.62	(define @t48 () (_ (_ @t3 @t5) @t15))
164.36/164.62	(define @t49 () (and @t8 @t48))
164.36/164.62	(define @t50 () (@list @t6 @t5 @t15))
164.36/164.62	(define @t51 () (forall @t50 (=> @t49 @t47)))
164.36/164.62	(define @t52 () (and @t51 @t46))
164.36/164.62	(define @t53 () (=> @t52 @t4))
164.36/164.62	(define @t54 () (@list @t3))
164.36/164.62	(define @t55 () (forall @t54 @t53))
164.36/164.62	(define @t56 () (@list @t2 @t1))
164.36/164.62	(define @t57 () (lambda @t56 @t55))
164.36/164.62	(define @t58 () (_ @t36 @t9))
164.36/164.62	(define @t59 () (and @t58 @t10))
164.36/164.62	(define @t60 () (exists @t42 @t59))
164.36/164.62	(define @t61 () (=> @t60 @t8))
164.36/164.62	(define @t62 () (forall @t45 @t61))
164.36/164.62	(define @t63 () (and @t62 @t51))
164.36/164.62	(define @t64 () (=> @t63 @t4))
164.36/164.62	(define @t65 () (forall @t54 @t64))
164.36/164.62	(define @t66 () (lambda @t56 @t65))
164.36/164.62	(define @t67 () (= @t66 @t57))
164.36/164.62	(define @t68 () (@list @t36))
164.36/164.62	(define @t69 () (forall @t68 @t67))
164.36/164.62	(define @t70 () (not @t69))
164.36/164.62	(define @t71 () (_ @t3 @t2 @t1))
164.36/164.62	(define @t72 () (@var "BOUND_VARIABLE_7513" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t73 () (not (_ @t36 @t72)))
164.36/164.62	(define @t74 () (_ @t13 @t6 @t5))
164.36/164.62	(define @t75 () (_ @t13 @t16 @t15))
164.36/164.62	(define @t76 () (_ @t13 @t16 @t19))
164.36/164.62	(define @t77 () (_ @t13 @t19 @t15))
164.36/164.62	(define @t78 () (forall @t23 (or (not @t77) (not @t76) @t75)))
164.36/164.62	(define @t79 () (not @t78))
164.36/164.62	(define @t80 () (not (forall @t31 (or (not (forall @t27 (or (not (_ @t72 @t16 @t19)) @t76))) @t79 @t74))))
164.36/164.62	(define @t81 () (_ @t3 @t6 @t5))
164.36/164.62	(define @t82 () (or @t81 @t80 @t73))
164.36/164.62	(define @t83 () (@list @t6 @t5 @t72))
164.36/164.62	(define @t84 () (forall @t83 @t82))
164.36/164.62	(define @t85 () (not @t84))
164.36/164.62	(define @t86 () (_ @t3 @t6 @t15))
164.36/164.62	(define @t87 () (_ @t3 @t5 @t15))
164.36/164.62	(define @t88 () (forall @t50 (or (not @t81) (not @t87) @t86)))
164.36/164.62	(define @t89 () (not @t88))
164.36/164.62	(define @t90 () (or @t89 @t85 @t4))
164.36/164.62	(define @t91 () (and @t88 @t84))
164.36/164.62	(define @t92 () (or @t80 @t73))
164.36/164.62	(define @t93 () (or @t92 @t81))
164.36/164.62	(define @t94 () (forall @t83 @t93))
164.36/164.62	(define @t95 () (@list @t72))
164.36/164.62	(define @t96 () (forall @t95 @t93))
164.36/164.62	(define @t97 () (forall @t95 @t92))
164.36/164.62	(define @t98 () (@var "BOUND_VARIABLE_7471" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t99 () (@list @t98))
164.36/164.62	(define @t100 () (or @t97 @t81))
164.36/164.62	(define @t101 () (not (_ @t36 @t98)))
164.36/164.62	(define @t102 () (not (forall @t27 (or (not (_ @t98 @t16 @t19)) @t76))))
164.36/164.62	(define @t103 () (forall @t31 (or @t102 @t79 @t74)))
164.36/164.62	(define @t104 () (not @t103))
164.36/164.62	(define @t105 () (or @t104 @t101))
164.36/164.62	(define @t106 () (@list @t98))
164.36/164.62	(define @t107 () (forall @t106 @t105))
164.36/164.62	(define @t108 () (or @t107 @t8))
164.36/164.62	(define @t109 () (not @t107))
164.36/164.62	(define @t110 () (_ @t13 @t12 @t11))
164.36/164.62	(define @t111 () (lambda @t33 (forall @t31 (or @t102 @t79 @t110))))
164.36/164.62	(define @t112 () (not (= @t111 @t111)))
164.36/164.62	(define @t113 () (_ @t111 @t6 @t5))
164.36/164.62	(define @t114 () (not @t113))
164.36/164.62	(define @t115 () (or @t114 @t101 @t112))
164.36/164.62	(define @t116 () (not (= @t9 @t111)))
164.36/164.62	(define @t117 () (_ @t9 @t6 @t5))
164.36/164.62	(define @t118 () (not @t117))
164.36/164.62	(define @t119 () (or @t116 @t118 @t101 @t116))
164.36/164.62	(define @t120 () (or @t118 @t101 @t116))
164.36/164.62	(define @t121 () (forall @t42 @t120))
164.36/164.62	(define @t122 () (forall @t106 @t121))
164.36/164.62	(define @t123 () (forall (@list @t98 @t9) @t120))
164.36/164.62	(define @t124 () (@list @t9 @t98))
164.36/164.62	(define @t125 () (or @t101 @t116))
164.36/164.62	(define @t126 () (or @t125 @t118))
164.36/164.62	(define @t127 () (forall @t124 @t126))
164.36/164.62	(define @t128 () (forall @t106 @t126))
164.36/164.62	(define @t129 () (forall @t106 @t125))
164.36/164.62	(define @t130 () (or @t129 @t118))
164.36/164.62	(define @t131 () (_ @t25 @t16 @t19))
164.36/164.62	(define @t132 () (forall @t27 (or (not @t131) @t76)))
164.36/164.62	(define @t133 () (not @t132))
164.36/164.62	(define @t134 () (= @t9 (lambda @t33 (forall @t31 (or @t133 @t79 @t110)))))
164.36/164.62	(define @t135 () (not @t134))
164.36/164.62	(define @t136 () (_ @t36 @t25))
164.36/164.62	(define @t137 () (forall @t39 (or (not @t136) @t135)))
164.36/164.62	(define @t138 () (not @t10))
164.36/164.62	(define @t139 () (or @t137 @t138))
164.36/164.62	(define @t140 () (not @t137))
164.36/164.62	(define @t141 () (and @t140 @t10))
164.36/164.62	(define @t142 () (forall @t42 (not @t141)))
164.36/164.62	(define @t143 () (not @t142))
164.36/164.62	(define @t144 () (not @t37))
164.36/164.62	(define @t145 () (or @t144 @t135))
164.36/164.62	(define @t146 () (and @t37 @t134))
164.36/164.62	(define @t147 () (forall @t39 (not @t146)))
164.36/164.62	(define @t148 () (not @t147))
164.36/164.62	(define @t149 () (or @t133 @t79 @t14))
164.36/164.62	(define @t150 () (and @t132 @t78))
164.36/164.62	(define @t151 () (not @t20))
164.36/164.62	(define @t152 () (not @t21))
164.36/164.62	(define @t153 () (or @t152 @t151 @t18))
164.36/164.62	(define @t154 () (not @t26))
164.36/164.62	(define @t155 () (or @t154 @t20))
164.36/164.62	(define @t156 () (not @t48))
164.36/164.62	(define @t157 () (not @t8))
164.36/164.62	(define @t158 () (or @t157 @t156 @t47))
164.36/164.62	(define @t159 () (@var "BOUND_VARIABLE_7373" (-> tptp.a tptp.a Bool)))
164.36/164.62	(define @t160 () (not (_ @t159 @t6 @t5)))
164.36/164.62	(define @t161 () (not (_ @t36 @t159)))
164.36/164.62	(define @t162 () (or @t81 @t161 @t160))
164.36/164.62	(define @t163 () (@list @t6 @t5 @t159))
164.36/164.62	(define @t164 () (forall @t163 @t162))
164.36/164.62	(define @t165 () (not @t164))
164.36/164.62	(define @t166 () (or @t165 @t89 @t4))
164.36/164.62	(define @t167 () (and @t164 @t88))
164.36/164.62	(define @t168 () (or @t161 @t160))
164.36/164.62	(define @t169 () (or @t168 @t81))
164.36/164.62	(define @t170 () (forall @t163 @t169))
164.36/164.62	(define @t171 () (@list @t159))
164.36/164.62	(define @t172 () (forall @t171 @t169))
164.36/164.62	(define @t173 () (forall @t171 @t168))
164.36/164.62	(define @t174 () (or @t173 @t81))
164.36/164.62	(define @t175 () (_ @t36 @t9))
164.36/164.62	(define @t176 () (forall @t42 (or (not @t175) @t118)))
164.36/164.62	(define @t177 () (or @t176 @t8))
164.36/164.62	(define @t178 () (not @t176))
164.36/164.62	(define @t179 () (not @t58))
164.36/164.62	(define @t180 () (or @t179 @t138))
164.36/164.62	(define @t181 () (forall @t42 (not @t59)))
164.36/164.62	(define @t182 () (not @t181))
164.36/164.62	(define @t183 () (forall @t68 (= (lambda @t56 (forall @t54 (or @t165 @t89 @t71))) (lambda @t56 (forall @t54 (or @t89 @t85 @t71))))))
164.36/164.62	(define @t184 () (@quantifiers_skolemize @t183 0))
164.36/164.62	(define @t185 () (not (_ @t184 @t159)))
164.36/164.62	(define @t186 () (not (forall @t163 (or @t81 @t185 @t160))))
164.36/164.62	(define @t187 () (lambda @t56 (forall @t54 (or @t186 @t89 @t71))))
164.36/164.62	(define @t188 () (@purify @t187))
164.36/164.62	(define @t189 () (not (_ @t184 @t72)))
164.36/164.62	(define @t190 () (not (forall @t83 (or @t81 @t80 @t189))))
164.36/164.62	(define @t191 () (lambda @t56 (forall @t54 (or @t89 @t190 @t71))))
164.36/164.62	(define @t192 () (@purify @t191))
164.36/164.62	(define @t193 () (= @t192 @t188))
164.36/164.62	(define @t194 () (not @t193))
164.36/164.62	(define @t195 () (not @t183))
164.36/164.62	(define @t196 () (= @t187 @t191))
164.36/164.62	(define @t197 () (not @t196))
164.36/164.62	(define @t198 () (@list true))
164.36/164.62	(define @t199 () (@const 0 tptp.a))
164.36/164.62	(define @t200 () (@const 1 tptp.a))
164.36/164.62	(define @t201 () (_ @t3 @t200 @t199))
164.36/164.62	(define @t202 () (forall @t54 (or @t89 @t190 @t201)))
164.36/164.62	(define @t203 () (forall @t54 (or @t186 @t89 @t201)))
164.36/164.62	(define @t204 () (= (_ @t187 @t200 @t199) @t203))
164.36/164.62	(define @t205 () (_ @t188 @t200 @t199))
164.36/164.62	(define @t206 () (= (_ @t191 @t200 @t199) @t202))
164.36/164.62	(define @t207 () (_ @t192 @t200 @t199))
164.36/164.62	(define @t208 () (= @t207 @t205))
164.36/164.62	(define @t209 () (not @t208))
164.36/164.62	(define @t210 () (or @t193 @t209))
164.36/164.62	(define @t211 () (= @t203 @t202))
164.36/164.62	(define @t212 () (@quantifiers_skolemize @t202 0))
164.36/164.62	(define @t213 () (_ @t212 @t200 @t199))
164.36/164.62	(define @t214 () (_ @t212 @t6 @t5))
164.36/164.62	(define @t215 () (forall @t50 (or (not @t214) (not (_ @t212 @t5 @t15)) (_ @t212 @t6 @t15))))
164.36/164.62	(define @t216 () (not @t215))
164.36/164.62	(define @t217 () (forall @t163 (or @t214 @t185 @t160)))
164.36/164.62	(define @t218 () (not @t217))
164.36/164.62	(define @t219 () (or @t218 @t216 @t213))
164.36/164.62	(define @t220 () (forall @t83 (or @t214 @t80 @t189)))
164.36/164.62	(define @t221 () (not @t220))
164.36/164.62	(define @t222 () (or @t216 @t221 @t213))
164.36/164.62	(define @t223 () (not @t222))
164.36/164.62	(define @t224 () (not @t202))
164.36/164.62	(define @t225 () (@quantifiers_skolemize @t217 2))
164.36/164.62	(define @t226 () (@quantifiers_skolemize @t217 1))
164.36/164.62	(define @t227 () (@quantifiers_skolemize @t217 0))
164.36/164.62	(define @t228 () (_ @t184 @t225))
164.36/164.62	(define @t229 () (not @t228))
164.36/164.62	(define @t230 () (not (_ @t225 @t16 @t19)))
164.36/164.62	(define @t231 () (forall @t31 (or (not (forall @t27 (or @t230 @t76))) @t79 (_ @t13 @t227 @t226))))
164.36/164.62	(define @t232 () (not @t231))
164.36/164.62	(define @t233 () (_ @t212 @t227 @t226))
164.36/164.62	(define @t234 () (or @t233 @t232 @t229))
164.36/164.62	(define @t235 () (_ @t225 @t227 @t226))
164.36/164.62	(define @t236 () (not @t235))
164.36/164.62	(define @t237 () (or @t233 @t229 @t236))
164.36/164.62	(define @t238 () (not @t237))
164.36/164.62	(define @t239 () (@quantifiers_skolemize @t231 0))
164.36/164.62	(define @t240 () (_ @t239 @t227 @t226))
164.36/164.62	(define @t241 () (_ @t239 @t16 @t19))
164.36/164.62	(define @t242 () (forall @t27 (or @t230 @t241)))
164.36/164.62	(define @t243 () (not @t242))
164.36/164.62	(define @t244 () (or @t243 (not (forall @t23 (or (not (_ @t239 @t19 @t15)) (not @t241) (_ @t239 @t16 @t15)))) @t240))
164.36/164.62	(define @t245 () (not @t244))
164.36/164.62	(define @t246 () (or @t236 @t240))
164.36/164.62	(define @t247 () (@quantifiers_skolemize @t203 0))
164.36/164.62	(define @t248 () (_ @t247 @t200 @t199))
164.36/164.62	(define @t249 () (_ @t247 @t6 @t5))
164.36/164.62	(define @t250 () (forall @t50 (or (not @t249) (not (_ @t247 @t5 @t15)) (_ @t247 @t6 @t15))))
164.36/164.62	(define @t251 () (not @t250))
164.36/164.62	(define @t252 () (forall @t163 (or @t249 @t185 @t160)))
164.36/164.62	(define @t253 () (not @t252))
164.36/164.62	(define @t254 () (or @t253 @t251 @t248))
164.36/164.62	(define @t255 () (not @t254))
164.36/164.62	(define @t256 () (not @t203))
164.36/164.62	(define @t257 () (@list @t254))
164.36/164.62	(define @t258 () (@list @t247))
164.36/164.62	(define @t259 () (forall @t83 (or @t249 @t80 @t189)))
164.36/164.62	(define @t260 () (not @t259))
164.36/164.62	(define @t261 () (or @t251 @t260 @t248))
164.36/164.62	(define @t262 () (@list false))
164.36/164.62	(define @t263 () (@list false true false))
164.36/164.62	(define @t264 () (@quantifiers_skolemize @t259 2))
164.36/164.62	(define @t265 () (_ @t184 @t264))
164.36/164.62	(define @t266 () (not @t265))
164.36/164.62	(define @t267 () (@quantifiers_skolemize @t259 1))
164.36/164.62	(define @t268 () (@quantifiers_skolemize @t259 0))
164.36/164.62	(define @t269 () (not (_ @t264 @t16 @t19)))
164.36/164.62	(define @t270 () (forall @t31 (or (not (forall @t27 (or @t269 @t76))) @t79 (_ @t13 @t268 @t267))))
164.36/164.62	(define @t271 () (not @t270))
164.36/164.62	(define @t272 () (_ @t247 @t268 @t267))
164.36/164.62	(define @t273 () (or @t272 @t271 @t266))
164.36/164.62	(define @t274 () (not @t273))
164.36/164.62	(define @t275 () (@list @t273))
164.36/164.62	(define @t276 () (_ @t247 @t16 @t15))
164.36/164.62	(define @t277 () (_ @t247 @t16 @t19))
164.36/164.62	(define @t278 () (not @t277))
164.36/164.62	(define @t279 () (not (_ @t247 @t19 @t15)))
164.36/164.62	(define @t280 () (or @t279 @t278 @t276))
164.36/164.62	(define @t281 () (forall @t23 @t280))
164.36/164.62	(define @t282 () (not @t281))
164.36/164.62	(define @t283 () (forall @t27 (or @t269 @t277)))
164.36/164.62	(define @t284 () (not @t283))
164.36/164.62	(define @t285 () (or @t284 @t282 @t272))
164.36/164.62	(define @t286 () (or @t278 @t279 @t276))
164.36/164.62	(define @t287 () (forall @t23 @t286))
164.36/164.62	(define @t288 () (@var "BOUND_VARIABLE_15105" tptp.a))
164.36/164.62	(define @t289 () (@var "BOUND_VARIABLE_15103" tptp.a))
164.36/164.62	(define @t290 () (@var "BOUND_VARIABLE_15104" tptp.a))
164.36/164.62	(define @t291 () (@list @t289 @t290 @t288))
164.36/164.62	(define @t292 () (@quantifiers_skolemize @t283 1))
164.36/164.62	(define @t293 () (@quantifiers_skolemize @t283 0))
164.36/164.62	(define @t294 () (_ @t247 @t293 @t292))
164.36/164.62	(define @t295 () (_ @t264 @t293 @t292))
164.36/164.62	(define @t296 () (not @t295))
164.36/164.62	(define @t297 () (or @t296 @t294))
164.36/164.62	(define @t298 () (not @t297))
164.36/164.62	(define @t299 () (@list @t297))
164.36/164.62	(define @t300 () (or @t294 @t266 @t296))
164.36/164.62	(assume @p1 @t70)
164.36/164.62	(assume @p2 true)
164.36/164.62	(step @p3 :rule refl :args (@t71))
164.36/164.62	(step @p4 :rule refl :args (@t4))
164.36/164.62	(step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t71)))
164.36/164.62	(step @p6 :rule symm :premises (@p5))
164.36/164.62	(step @p7 :rule eq_resolve :premises (@p4 @p6))
164.36/164.62	(step @p8 :rule refl :args (@t85))
164.36/164.62	(step @p9 :rule refl :args (@t89))
164.36/164.62	(step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t90))
164.36/164.62	(step @p11 :rule cong :premises (@p10) :args ((forall @t54 @t90)))
164.36/164.62	(step @p12 :rule aci_norm :args ((= (or (or @t89 @t85) @t4) @t90)))
164.36/164.62	(step @p13 :rule bool-and-de-morgan :args (@t88 @t84 true))
164.36/164.62	(step @p14 :rule nary_cong :premises (@p13 @p4) :args ((or (not @t91) @t4)))
164.36/164.62	(step @p15 :rule trans :premises (@p14 @p12))
164.36/164.62	(step @p16 :rule bool-impl-elim :args (@t91 @t4))
164.36/164.62	(step @p17 :rule trans :premises (@p16 @p15))
164.36/164.62	(step @p18 :rule cong :premises (@p17) :args ((forall @t54 (=> @t91 @t4))))
164.36/164.62	(step @p19 :rule trans :premises (@p18 @p11))
164.36/164.62	(step @p20 :rule refl :args (@t4))
164.36/164.62	(step @p21 :rule aci_norm :args ((= @t93 @t82)))
164.36/164.62	(step @p22 :rule cong :premises (@p21) :args (@t94))
164.36/164.62	(step @p23 :rule quant-merge-prenex :args ((= (forall @t45 @t96) @t94)))
164.36/164.62	(step @p24 :rule refl :args (@t81))
164.36/164.62	(step @p25 :rule alpha_equiv :args (@t97 (@list @t72) @t99))
164.36/164.62	(step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t100))
164.36/164.62	(step @p27 :rule quant-miniscope-or :args ((= @t96 @t100)))
164.36/164.62	(step @p28 :rule trans :premises (@p27 @p26))
164.36/164.62	(step @p29 :rule symm :premises (@p28))
164.36/164.62	(step @p30 :rule cong :premises (@p29) :args ((forall @t45 (or @t107 @t81))))
164.36/164.62	(step @p31 :rule trans :premises (@p30 @p23))
164.36/164.62	(step @p32 :rule trans :premises (@p31 @p22))
164.36/164.62	(step @p33 :rule refl :args (@t81))
164.36/164.62	(step @p34 :rule refl :args (@t8))
164.36/164.62	(step @p35 :rule cong :premises (@p34 @p33) :args ((= @t8 @t81)))
164.36/164.62	(step @p36 :rule symm :premises (@p35))
164.36/164.62	(step @p37 :rule eq_resolve :premises (@p34 @p36))
164.36/164.62	(step @p38 :rule refl :args (@t107))
164.36/164.62	(step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t108))
164.36/164.62	(step @p40 :rule cong :premises (@p39) :args ((forall @t45 @t108)))
164.36/164.62	(step @p41 :rule trans :premises (@p40 @p32))
164.36/164.62	(step @p42 :rule bool-double-not-elim :args (@t107))
164.36/164.62	(step @p43 :rule nary_cong :premises (@p42 @p34) :args ((or (not @t109) @t8)))
164.36/164.62	(step @p44 :rule bool-impl-elim :args (@t109 @t8))
164.36/164.62	(step @p45 :rule trans :premises (@p44 @p43))
164.36/164.62	(step @p46 :rule cong :premises (@p45) :args ((forall @t45 (=> @t109 @t8))))
164.36/164.62	(step @p47 :rule trans :premises (@p46 @p41))
164.36/164.62	(step @p48 :rule refl :args (@t8))
164.36/164.62	(step @p49 :rule aci_norm :args ((= (or @t104 @t101 false) @t105)))
164.36/164.62	(step @p50 :rule evaluate :args ((not true)))
164.36/164.62	(step @p51 :rule eq-refl :args (@t111))
164.36/164.62	(step @p52 :rule cong :premises (@p51) :args (@t112))
164.36/164.62	(step @p53 :rule trans :premises (@p52 @p50))
164.36/164.62	(step @p54 :rule refl :args (@t101))
164.36/164.62	(step @p55 :rule beta-reduce :args ((= @t113 @t103)))
164.36/164.62	(step @p56 :rule cong :premises (@p55) :args (@t114))
164.36/164.62	(step @p57 :rule nary_cong :premises (@p56 @p54 @p53) :args (@t115))
164.36/164.62	(step @p58 :rule trans :premises (@p57 @p49))
164.36/164.62	(step @p59 :rule cong :premises (@p58) :args ((forall @t106 @t115)))
164.36/164.62	(step @p60 :rule quant-var-elim-eq :args ((= (forall @t42 @t119) @t115)))
164.36/164.62	(step @p61 :rule aci_norm :args ((= @t120 @t119)))
164.36/164.62	(step @p62 :rule cong :premises (@p61) :args (@t121))
164.36/164.62	(step @p63 :rule trans :premises (@p62 @p60))
164.36/164.62	(step @p64 :rule cong :premises (@p63) :args (@t122))
164.36/164.62	(step @p65 :rule quant-merge-prenex :args ((= @t122 @t123)))
164.36/164.62	(step @p66 :rule symm :premises (@p65))
164.36/164.62	(step @p67 :rule quant_var_reordering :args ((= (forall @t124 @t120) @t123)))
164.36/164.62	(step @p68 :rule trans :premises (@p67 @p66 @p64))
164.36/164.62	(step @p69 :rule trans :premises (@p68 @p59))
164.36/164.62	(step @p70 :rule aci_norm :args ((= @t126 @t120)))
164.36/164.62	(step @p71 :rule cong :premises (@p70) :args (@t127))
164.36/164.62	(step @p72 :rule trans :premises (@p71 @p69))
164.36/164.62	(step @p73 :rule quant-merge-prenex :args ((= (forall @t42 @t128) @t127)))
164.36/164.62	(step @p74 :rule refl :args (@t118))
164.36/164.62	(step @p75 :rule alpha_equiv :args (@t129 @t99 (@list @t25)))
164.36/164.62	(step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t130))
164.36/164.62	(step @p77 :rule quant-miniscope-or :args ((= @t128 @t130)))
164.36/164.62	(step @p78 :rule trans :premises (@p77 @p76))
164.36/164.62	(step @p79 :rule symm :premises (@p78))
164.36/164.62	(step @p80 :rule cong :premises (@p79) :args ((forall @t42 (or @t137 @t118))))
164.36/164.62	(step @p81 :rule trans :premises (@p80 @p73))
164.36/164.62	(step @p82 :rule trans :premises (@p81 @p72))
164.36/164.62	(step @p83 :rule refl :args (@t117))
164.36/164.62	(step @p84 :rule refl :args (@t10))
164.36/164.62	(step @p85 :rule cong :premises (@p84 @p83) :args ((= @t10 @t117)))
164.36/164.62	(step @p86 :rule symm :premises (@p85))
164.36/164.62	(step @p87 :rule eq_resolve :premises (@p84 @p86))
164.36/164.62	(step @p88 :rule cong :premises (@p87) :args (@t138))
164.36/164.62	(step @p89 :rule refl :args (@t137))
164.36/164.62	(step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t139))
164.36/164.62	(step @p91 :rule cong :premises (@p90) :args ((forall @t42 @t139)))
164.36/164.62	(step @p92 :rule trans :premises (@p91 @p82))
164.36/164.62	(step @p93 :rule refl :args (@t138))
164.36/164.62	(step @p94 :rule bool-double-not-elim :args (@t137))
164.36/164.62	(step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t140) @t138)))
164.36/164.62	(step @p96 :rule bool-and-de-morgan :args (@t140 @t10 true))
164.36/164.62	(step @p97 :rule trans :premises (@p96 @p95))
164.36/164.62	(step @p98 :rule cong :premises (@p97) :args (@t142))
164.36/164.62	(step @p99 :rule trans :premises (@p98 @p92))
164.36/164.62	(step @p100 :rule cong :premises (@p99) :args (@t143))
164.36/164.62	(step @p101 :rule exists-elim :args ((= (exists @t42 @t141) @t143)))
164.36/164.62	(step @p102 :rule trans :premises (@p101 @p100))
164.36/164.62	(step @p103 :rule refl :args (@t10))
164.36/164.62	(step @p104 :rule refl :args (@t135))
164.36/164.62	(step @p105 :rule refl :args (@t136))
164.36/164.62	(step @p106 :rule refl :args (@t37))
164.36/164.62	(step @p107 :rule cong :premises (@p106 @p105) :args ((= @t37 @t136)))
164.36/164.62	(step @p108 :rule symm :premises (@p107))
164.36/164.62	(step @p109 :rule eq_resolve :premises (@p106 @p108))
164.36/164.62	(step @p110 :rule cong :premises (@p109) :args (@t144))
164.36/164.62	(step @p111 :rule nary_cong :premises (@p110 @p104) :args (@t145))
164.36/164.62	(step @p112 :rule cong :premises (@p111) :args ((forall @t39 @t145)))
164.36/164.62	(step @p113 :rule bool-and-de-morgan :args (@t37 @t134 true))
164.36/164.62	(step @p114 :rule cong :premises (@p113) :args (@t147))
164.36/164.62	(step @p115 :rule trans :premises (@p114 @p112))
164.36/164.62	(step @p116 :rule cong :premises (@p115) :args (@t148))
164.36/164.62	(step @p117 :rule exists-elim :args ((= (exists @t39 @t146) @t148)))
164.36/164.62	(step @p118 :rule trans :premises (@p117 @p116))
164.36/164.62	(step @p119 :rule refl :args (@t110))
164.36/164.62	(step @p120 :rule refl :args (@t14))
164.36/164.62	(step @p121 :rule cong :premises (@p120 @p119) :args ((= @t14 @t110)))
164.36/164.62	(step @p122 :rule symm :premises (@p121))
164.36/164.62	(step @p123 :rule eq_resolve :premises (@p120 @p122))
164.36/164.62	(step @p124 :rule refl :args (@t79))
164.36/164.62	(step @p125 :rule refl :args (@t133))
164.36/164.62	(step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args (@t149))
164.36/164.62	(step @p127 :rule cong :premises (@p126) :args ((forall @t31 @t149)))
164.36/164.62	(step @p128 :rule aci_norm :args ((= (or (or @t133 @t79) @t14) @t149)))
164.36/164.62	(step @p129 :rule bool-and-de-morgan :args (@t132 @t78 true))
164.36/164.62	(step @p130 :rule nary_cong :premises (@p129 @p120) :args ((or (not @t150) @t14)))
164.36/164.62	(step @p131 :rule trans :premises (@p130 @p128))
164.36/164.62	(step @p132 :rule bool-impl-elim :args (@t150 @t14))
164.36/164.62	(step @p133 :rule trans :premises (@p132 @p131))
164.36/164.62	(step @p134 :rule cong :premises (@p133) :args ((forall @t31 (=> @t150 @t14))))
164.36/164.62	(step @p135 :rule trans :premises (@p134 @p127))
164.36/164.62	(step @p136 :rule refl :args (@t14))
164.36/164.62	(step @p137 :rule refl :args (@t75))
164.36/164.62	(step @p138 :rule refl :args (@t18))
164.36/164.62	(step @p139 :rule cong :premises (@p138 @p137) :args ((= @t18 @t75)))
164.36/164.62	(step @p140 :rule symm :premises (@p139))
164.36/164.62	(step @p141 :rule eq_resolve :premises (@p138 @p140))
164.36/164.62	(step @p142 :rule refl :args (@t76))
164.36/164.62	(step @p143 :rule refl :args (@t20))
164.36/164.62	(step @p144 :rule cong :premises (@p143 @p142) :args ((= @t20 @t76)))
164.36/164.62	(step @p145 :rule symm :premises (@p144))
164.36/164.62	(step @p146 :rule eq_resolve :premises (@p143 @p145))
164.36/164.62	(step @p147 :rule cong :premises (@p146) :args (@t151))
164.36/164.62	(step @p148 :rule refl :args (@t77))
164.36/164.62	(step @p149 :rule refl :args (@t21))
164.36/164.62	(step @p150 :rule cong :premises (@p149 @p148) :args ((= @t21 @t77)))
164.36/164.62	(step @p151 :rule symm :premises (@p150))
164.36/164.62	(step @p152 :rule eq_resolve :premises (@p149 @p151))
164.36/164.62	(step @p153 :rule cong :premises (@p152) :args (@t152))
164.36/164.62	(step @p154 :rule nary_cong :premises (@p153 @p147 @p141) :args (@t153))
164.36/164.62	(step @p155 :rule cong :premises (@p154) :args ((forall @t23 @t153)))
164.36/164.62	(step @p156 :rule aci_norm :args ((= (or (or @t152 @t151) @t18) @t153)))
164.36/164.62	(step @p157 :rule bool-and-de-morgan :args (@t21 @t20 true))
164.36/164.62	(step @p158 :rule nary_cong :premises (@p157 @p138) :args ((or (not @t22) @t18)))
164.36/164.62	(step @p159 :rule trans :premises (@p158 @p156))
164.36/164.62	(step @p160 :rule bool-impl-elim :args (@t22 @t18))
164.36/164.62	(step @p161 :rule trans :premises (@p160 @p159))
164.36/164.62	(step @p162 :rule cong :premises (@p161) :args (@t24))
164.36/164.62	(step @p163 :rule trans :premises (@p162 @p155))
164.36/164.62	(step @p164 :rule refl :args (@t131))
164.36/164.62	(step @p165 :rule refl :args (@t26))
164.36/164.62	(step @p166 :rule cong :premises (@p165 @p164) :args ((= @t26 @t131)))
164.36/164.62	(step @p167 :rule symm :premises (@p166))
164.36/164.62	(step @p168 :rule eq_resolve :premises (@p165 @p167))
164.36/164.62	(step @p169 :rule cong :premises (@p168) :args (@t154))
164.36/164.62	(step @p170 :rule nary_cong :premises (@p169 @p146) :args (@t155))
164.36/164.62	(step @p171 :rule cong :premises (@p170) :args ((forall @t27 @t155)))
164.36/164.62	(step @p172 :rule bool-impl-elim :args (@t26 @t20))
164.36/164.62	(step @p173 :rule cong :premises (@p172) :args (@t28))
164.36/164.62	(step @p174 :rule trans :premises (@p173 @p171))
164.36/164.62	(step @p175 :rule nary_cong :premises (@p174 @p163) :args (@t29))
164.36/164.62	(step @p176 :rule cong :premises (@p175 @p136) :args (@t30))
164.36/164.62	(step @p177 :rule cong :premises (@p176) :args (@t32))
164.36/164.62	(step @p178 :rule trans :premises (@p177 @p135))
164.36/164.62	(step @p179 :rule cong :premises (@p178) :args (@t34))
164.36/164.62	(step @p180 :rule refl :args (@t9))
164.36/164.62	(step @p181 :rule cong :premises (@p180 @p179) :args (@t35))
164.36/164.62	(step @p182 :rule refl :args (@t37))
164.36/164.62	(step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t38))
164.36/164.62	(step @p184 :rule cong :premises (@p183) :args (@t40))
164.36/164.62	(step @p185 :rule trans :premises (@p184 @p118))
164.36/164.62	(step @p186 :rule nary_cong :premises (@p185 @p103) :args (@t41))
164.36/164.62	(step @p187 :rule cong :premises (@p186) :args (@t43))
164.36/164.62	(step @p188 :rule trans :premises (@p187 @p102))
164.36/164.62	(step @p189 :rule cong :premises (@p188 @p48) :args (@t44))
164.36/164.62	(step @p190 :rule cong :premises (@p189) :args (@t46))
164.36/164.62	(step @p191 :rule trans :premises (@p190 @p47))
164.36/164.62	(step @p192 :rule refl :args (@t86))
164.36/164.62	(step @p193 :rule refl :args (@t47))
164.36/164.62	(step @p194 :rule cong :premises (@p193 @p192) :args ((= @t47 @t86)))
164.36/164.62	(step @p195 :rule symm :premises (@p194))
164.36/164.62	(step @p196 :rule eq_resolve :premises (@p193 @p195))
164.36/164.62	(step @p197 :rule refl :args (@t87))
164.36/164.62	(step @p198 :rule refl :args (@t48))
164.36/164.62	(step @p199 :rule cong :premises (@p198 @p197) :args ((= @t48 @t87)))
164.36/164.62	(step @p200 :rule symm :premises (@p199))
164.36/164.62	(step @p201 :rule eq_resolve :premises (@p198 @p200))
164.36/164.62	(step @p202 :rule cong :premises (@p201) :args (@t156))
164.36/164.62	(step @p203 :rule cong :premises (@p37) :args (@t157))
164.36/164.62	(step @p204 :rule nary_cong :premises (@p203 @p202 @p196) :args (@t158))
164.36/164.62	(step @p205 :rule cong :premises (@p204) :args ((forall @t50 @t158)))
164.36/164.62	(step @p206 :rule aci_norm :args ((= (or (or @t157 @t156) @t47) @t158)))
164.36/164.62	(step @p207 :rule bool-and-de-morgan :args (@t8 @t48 true))
164.36/164.62	(step @p208 :rule nary_cong :premises (@p207 @p193) :args ((or (not @t49) @t47)))
164.36/164.62	(step @p209 :rule trans :premises (@p208 @p206))
164.36/164.62	(step @p210 :rule bool-impl-elim :args (@t49 @t47))
164.36/164.62	(step @p211 :rule trans :premises (@p210 @p209))
164.36/164.62	(step @p212 :rule cong :premises (@p211) :args (@t51))
164.36/164.62	(step @p213 :rule trans :premises (@p212 @p205))
164.36/164.62	(step @p214 :rule nary_cong :premises (@p213 @p191) :args (@t52))
164.36/164.62	(step @p215 :rule cong :premises (@p214 @p20) :args (@t53))
164.36/164.62	(step @p216 :rule cong :premises (@p215) :args (@t55))
164.36/164.62	(step @p217 :rule trans :premises (@p216 @p19))
164.36/164.62	(step @p218 :rule cong :premises (@p217) :args (@t57))
164.36/164.62	(step @p219 :rule refl :args (@t165))
164.36/164.62	(step @p220 :rule nary_cong :premises (@p219 @p9 @p7) :args (@t166))
164.36/164.62	(step @p221 :rule cong :premises (@p220) :args ((forall @t54 @t166)))
164.36/164.62	(step @p222 :rule aci_norm :args ((= (or (or @t165 @t89) @t4) @t166)))
164.36/164.62	(step @p223 :rule bool-and-de-morgan :args (@t164 @t88 true))
164.36/164.62	(step @p224 :rule nary_cong :premises (@p223 @p4) :args ((or (not @t167) @t4)))
164.36/164.62	(step @p225 :rule trans :premises (@p224 @p222))
164.36/164.62	(step @p226 :rule bool-impl-elim :args (@t167 @t4))
164.36/164.62	(step @p227 :rule trans :premises (@p226 @p225))
164.36/164.62	(step @p228 :rule cong :premises (@p227) :args ((forall @t54 (=> @t167 @t4))))
164.36/164.62	(step @p229 :rule trans :premises (@p228 @p221))
164.36/164.62	(step @p230 :rule aci_norm :args ((= @t169 @t162)))
164.36/164.62	(step @p231 :rule cong :premises (@p230) :args (@t170))
164.36/164.62	(step @p232 :rule quant-merge-prenex :args ((= (forall @t45 @t172) @t170)))
164.36/164.62	(step @p233 :rule alpha_equiv :args (@t173 (@list @t159) (@list @t9)))
164.36/164.62	(step @p234 :rule nary_cong :premises (@p233 @p24) :args (@t174))
164.36/164.62	(step @p235 :rule quant-miniscope-or :args ((= @t172 @t174)))
164.36/164.62	(step @p236 :rule trans :premises (@p235 @p234))
164.36/164.62	(step @p237 :rule symm :premises (@p236))
164.36/164.62	(step @p238 :rule cong :premises (@p237) :args ((forall @t45 (or @t176 @t81))))
164.36/164.62	(step @p239 :rule trans :premises (@p238 @p232))
164.36/164.62	(step @p240 :rule trans :premises (@p239 @p231))
164.36/164.62	(step @p241 :rule refl :args (@t176))
164.36/164.62	(step @p242 :rule nary_cong :premises (@p241 @p37) :args (@t177))
164.36/164.62	(step @p243 :rule cong :premises (@p242) :args ((forall @t45 @t177)))
164.36/164.62	(step @p244 :rule trans :premises (@p243 @p240))
164.36/164.62	(step @p245 :rule bool-double-not-elim :args (@t176))
164.36/164.62	(step @p246 :rule nary_cong :premises (@p245 @p34) :args ((or (not @t178) @t8)))
164.36/164.62	(step @p247 :rule bool-impl-elim :args (@t178 @t8))
164.36/164.62	(step @p248 :rule trans :premises (@p247 @p246))
164.36/164.62	(step @p249 :rule cong :premises (@p248) :args ((forall @t45 (=> @t178 @t8))))
164.36/164.62	(step @p250 :rule trans :premises (@p249 @p244))
164.36/164.62	(step @p251 :rule refl :args (@t175))
164.36/164.62	(step @p252 :rule refl :args (@t58))
164.36/164.62	(step @p253 :rule cong :premises (@p252 @p251) :args ((= @t58 @t175)))
164.36/164.62	(step @p254 :rule symm :premises (@p253))
164.36/164.62	(step @p255 :rule eq_resolve :premises (@p252 @p254))
164.36/164.62	(step @p256 :rule cong :premises (@p255) :args (@t179))
164.36/164.62	(step @p257 :rule nary_cong :premises (@p256 @p88) :args (@t180))
164.36/164.62	(step @p258 :rule cong :premises (@p257) :args ((forall @t42 @t180)))
164.36/164.62	(step @p259 :rule bool-and-de-morgan :args (@t58 @t10 true))
164.36/164.62	(step @p260 :rule cong :premises (@p259) :args (@t181))
164.36/164.62	(step @p261 :rule trans :premises (@p260 @p258))
164.36/164.62	(step @p262 :rule cong :premises (@p261) :args (@t182))
164.36/164.62	(step @p263 :rule exists-elim :args ((= @t60 @t182)))
164.36/164.62	(step @p264 :rule trans :premises (@p263 @p262))
164.36/164.62	(step @p265 :rule cong :premises (@p264 @p48) :args (@t61))
164.36/164.62	(step @p266 :rule cong :premises (@p265) :args (@t62))
164.36/164.62	(step @p267 :rule trans :premises (@p266 @p250))
164.36/164.62	(step @p268 :rule nary_cong :premises (@p267 @p213) :args (@t63))
164.36/164.62	(step @p269 :rule cong :premises (@p268 @p20) :args (@t64))
164.36/164.62	(step @p270 :rule cong :premises (@p269) :args (@t65))
164.36/164.62	(step @p271 :rule trans :premises (@p270 @p229))
164.36/164.62	(step @p272 :rule cong :premises (@p271) :args (@t66))
164.36/164.62	(step @p273 :rule cong :premises (@p272 @p218) :args (@t67))
164.36/164.62	(step @p274 :rule cong :premises (@p273) :args (@t69))
164.36/164.62	(step @p275 :rule cong :premises (@p274) :args (@t70))
164.36/164.62	(step @p276 :rule eq_resolve :premises (@p1 @p275))
164.36/164.62	(step @p277 :rule refl :args (@t194))
164.36/164.62	(step @p278 :rule bool-double-not-elim :args (@t183))
164.36/164.62	(step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or (not @t195) @t194)))
164.36/164.62	(step @p280 :rule eq-symm :args (@t188 @t192))
164.36/164.62	(step @p281 :rule eq-refl :args (@t191))
164.36/164.62	(step @p282 :rule skolem_intro :args (@t192))
164.36/164.62	(step @p283 :rule refl :args (@t191))
164.36/164.62	(step @p284 :rule cong :premises (@p283 @p282) :args ((= @t191 @t192)))
164.36/164.62	(step @p285 :rule trans :premises (@p284 @p281))
164.36/164.62	(step @p286 :rule true_elim :premises (@p285))
164.36/164.62	(step @p287 :rule eq-refl :args (@t187))
164.36/164.62	(step @p288 :rule skolem_intro :args (@t188))
164.36/164.62	(step @p289 :rule refl :args (@t187))
164.36/164.62	(step @p290 :rule cong :premises (@p289 @p288) :args ((= @t187 @t188)))
164.36/164.62	(step @p291 :rule trans :premises (@p290 @p287))
164.36/164.62	(step @p292 :rule true_elim :premises (@p291))
164.36/164.62	(step @p293 :rule cong :premises (@p292 @p286) :args (@t196))
164.36/164.62	(step @p294 :rule trans :premises (@p293 @p280))
164.36/164.62	(step @p295 :rule cong :premises (@p294) :args (@t197))
164.36/164.62	(step @p296 :rule refl :args (@t195))
164.36/164.62	(step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t195 @t197)))
164.36/164.62	(assume-push @p536 @t195)
164.36/164.62	(step @p299 :rule skolemize :premises (@p276))
164.36/164.62	(step-pop @p536 :rule scope :premises (@p299))
164.36/164.62	(step @p300 :rule process_scope :premises (@p536) :args (@t197))
164.36/164.62	(step @p302 :rule eq_resolve :premises (@p300 @p297))
164.36/164.62	(step @p303 :rule implies_elim :premises (@p302))
164.36/164.62	(step @p304 :rule eq_resolve :premises (@p303 @p279))
164.36/164.62	(step @p305 :rule chain_resolution :premises (@p304 @p276) :args (@t198 (@list @t183)))
164.36/164.62	(step @p306 :rule eq-symm :args (@t202 @t203))
164.36/164.62	(step @p307 :rule eq-refl :args (@t203))
164.36/164.62	(step @p308 :rule refl :args (@t203))
164.36/164.62	(step @p309 :rule beta-reduce :args (@t204))
164.36/164.62	(step @p310 :rule cong :premises (@p309 @p308) :args (@t204))
164.36/164.62	(step @p311 :rule trans :premises (@p310 @p307))
164.36/164.62	(step @p312 :rule refl :args (@t199))
164.36/164.62	(step @p313 :rule refl :args (@t200))
164.36/164.62	(step @p314 :rule ho_cong :premises (@p288 @p313 @p312))
164.36/164.62	(step @p315 :rule cong :premises (@p314 @p308) :args ((= @t205 @t203)))
164.36/164.62	(step @p316 :rule trans :premises (@p315 @p311))
164.36/164.62	(step @p317 :rule true_elim :premises (@p316))
164.36/164.62	(step @p318 :rule eq-refl :args (@t202))
164.36/164.62	(step @p319 :rule refl :args (@t202))
164.36/164.62	(step @p320 :rule beta-reduce :args (@t206))
164.36/164.62	(step @p321 :rule cong :premises (@p320 @p319) :args (@t206))
164.36/164.62	(step @p322 :rule trans :premises (@p321 @p318))
164.36/164.62	(step @p323 :rule ho_cong :premises (@p282 @p313 @p312))
164.36/164.62	(step @p324 :rule cong :premises (@p323 @p319) :args ((= @t207 @t202)))
164.36/164.62	(step @p325 :rule trans :premises (@p324 @p322))
164.36/164.62	(step @p326 :rule true_elim :premises (@p325))
164.36/164.62	(step @p327 :rule cong :premises (@p326 @p317) :args (@t208))
164.36/164.62	(step @p328 :rule trans :premises (@p327 @p306))
164.36/164.62	(step @p329 :rule cong :premises (@p328) :args (@t209))
164.36/164.62	(step @p330 :rule refl :args (@t193))
164.36/164.62	(step @p331 :rule nary_cong :premises (@p330 @p329) :args (@t210))
164.36/164.62	; WARNING: add trust step for TRUST
164.36/164.62	; trust TRUST THEORY_LEMMA
164.36/164.62	(step @p332 :rule trust :premises () :args (@t210))
164.36/164.62	(step @p333 :rule eq_resolve :premises (@p332 @p331))
164.36/164.62	(step @p334 :rule chain_resolution :premises (@p333 @p305) :args (@t198 (@list @t193)))
164.36/164.62	(step @p335 :rule cnf_equiv_neg2 :args (@t211))
164.36/164.62	(assume-push @p538 @t203)
164.36/164.62	(step @p337 :rule instantiate :premises (@p538) :args ((@list @t212)))
164.36/164.62	(step-pop @p538 :rule scope :premises (@p337))
164.36/164.62	(step @p338 :rule process_scope :premises (@p538) :args (@t219))
164.36/164.62	(step @p340 :rule implies_elim :premises (@p338))
164.36/164.62	(step @p341 :rule refl :args (@t223))
164.36/164.62	(step @p342 :rule bool-double-not-elim :args (@t202))
164.36/164.62	(step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or (not @t224) @t223)))
164.36/164.62	(assume-push @p540 @t224)
164.36/164.62	(step @p345 :rule skolemize :premises (@p540))
164.36/164.62	(step-pop @p540 :rule scope :premises (@p345))
164.36/164.62	(step @p346 :rule process_scope :premises (@p540) :args (@t223))
164.36/164.62	(step @p348 :rule implies_elim :premises (@p346))
164.36/164.62	(step @p349 :rule eq_resolve :premises (@p348 @p343))
164.36/164.62	(step @p350 :rule bool-double-not-elim :args (@t215))
164.36/164.62	(step @p351 :rule refl :args (@t222))
164.36/164.62	(step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t222 (not @t216))))
164.36/164.62	(step @p353 :rule cnf_or_neg :args (@t222 0))
164.36/164.62	(step @p354 :rule eq_resolve :premises (@p353 @p352))
164.36/164.62	(step @p355 :rule reordering :premises (@p354) :args ((or @t215 @t222)))
164.36/164.62	(step @p356 :rule bool-double-not-elim :args (@t220))
164.36/164.62	(step @p357 :rule nary_cong :premises (@p351 @p356) :args ((or @t222 (not @t221))))
164.36/164.62	(step @p358 :rule cnf_or_neg :args (@t222 1))
164.36/164.62	(step @p359 :rule eq_resolve :premises (@p358 @p357))
164.36/164.62	(step @p360 :rule reordering :premises (@p359) :args ((or @t220 @t222)))
164.36/164.62	(step @p361 :rule cnf_or_neg :args (@t222 2))
164.36/164.62	(assume-push @p542 @t220)
164.36/164.62	(step @p363 :rule instantiate :premises (@p542) :args ((@list @t227 @t226 @t225)))
164.36/164.62	(step-pop @p542 :rule scope :premises (@p363))
164.36/164.62	(step @p364 :rule process_scope :premises (@p542) :args (@t234))
164.36/164.62	(step @p366 :rule implies_elim :premises (@p364))
164.36/164.62	(step @p367 :rule cnf_or_pos :args (@t219))
164.36/164.62	(step @p368 :rule reordering :premises (@p367) :args ((or @t216 @t213 @t218 (not @t219))))
164.36/164.62	(step @p369 :rule refl :args (@t238))
164.36/164.62	(step @p370 :rule bool-double-not-elim :args (@t217))
164.36/164.62	(step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or (not @t218) @t238)))
164.36/164.62	(assume-push @p544 @t218)
164.36/164.62	(step @p373 :rule skolemize :premises (@p544))
164.36/164.62	(step-pop @p544 :rule scope :premises (@p373))
164.36/164.62	(step @p374 :rule process_scope :premises (@p544) :args (@t238))
164.36/164.62	(step @p376 :rule implies_elim :premises (@p374))
164.36/164.62	(step @p377 :rule eq_resolve :premises (@p376 @p371))
164.36/164.62	(step @p378 :rule cnf_or_neg :args (@t237 0))
164.36/164.62	(step @p379 :rule bool-double-not-elim :args (@t228))
164.36/164.62	(step @p380 :rule refl :args (@t237))
164.36/164.62	(step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or @t237 (not @t229))))
164.36/164.62	(step @p382 :rule cnf_or_neg :args (@t237 1))
164.36/164.62	(step @p383 :rule eq_resolve :premises (@p382 @p381))
164.36/164.62	(step @p384 :rule reordering :premises (@p383) :args ((or @t228 @t237)))
164.36/164.62	(step @p385 :rule bool-double-not-elim :args (@t235))
164.36/164.62	(step @p386 :rule nary_cong :premises (@p380 @p385) :args ((or @t237 (not @t236))))
164.36/164.62	(step @p387 :rule cnf_or_neg :args (@t237 2))
164.36/164.62	(step @p388 :rule eq_resolve :premises (@p387 @p386))
164.36/164.62	(step @p389 :rule reordering :premises (@p388) :args ((or @t235 @t237)))
164.36/164.62	(step @p390 :rule cnf_or_pos :args (@t234))
164.36/164.62	(step @p391 :rule reordering :premises (@p390) :args ((or @t233 @t229 @t232 (not @t234))))
164.36/164.62	(step @p392 :rule refl :args (@t245))
164.36/164.62	(step @p393 :rule bool-double-not-elim :args (@t231))
164.36/164.62	(step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or (not @t232) @t245)))
164.36/164.62	(assume-push @p546 @t232)
164.36/164.62	(step @p396 :rule skolemize :premises (@p546))
164.36/164.62	(step-pop @p546 :rule scope :premises (@p396))
164.36/164.62	(step @p397 :rule process_scope :premises (@p546) :args (@t245))
164.36/164.62	(step @p399 :rule implies_elim :premises (@p397))
164.36/164.62	(step @p400 :rule eq_resolve :premises (@p399 @p394))
164.36/164.62	(step @p401 :rule bool-double-not-elim :args (@t242))
164.36/164.62	(step @p402 :rule refl :args (@t244))
164.36/164.62	(step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or @t244 (not @t243))))
164.36/164.62	(step @p404 :rule cnf_or_neg :args (@t244 0))
164.36/164.62	(step @p405 :rule eq_resolve :premises (@p404 @p403))
164.36/164.62	(step @p406 :rule reordering :premises (@p405) :args ((or @t242 @t244)))
164.36/164.62	(step @p407 :rule cnf_or_neg :args (@t244 2))
164.36/164.62	(step @p408 :rule cnf_or_pos :args (@t246))
164.36/164.62	(step @p409 :rule reordering :premises (@p408) :args ((or @t236 @t240 (not @t246))))
164.36/164.62	(assume-push @p548 @t242)
164.36/164.62	(step @p411 :rule instantiate :premises (@p548) :args ((@list @t227 @t226)))
164.36/164.62	(step-pop @p548 :rule scope :premises (@p411))
164.36/164.62	(step @p412 :rule process_scope :premises (@p548) :args (@t246))
164.36/164.62	(step @p414 :rule implies_elim :premises (@p412))
164.36/164.62	(step @p415 :rule chain_resolution :premises (@p414 @p409 @p407 @p406) :args ((@list true true false) (@list @t246 @t240 @t242)))
164.36/164.62	(step @p416 :rule factoring :premises (@p415))
164.36/164.62	(step @p417 :rule chain_resolution :premises (@p416 @p400 @p391 @p389 @p384 @p378) :args ((@list true true false false true) (@list @t244 @t231 @t235 @t228 @t233)))
164.36/164.62	(step @p418 :rule factoring :premises (@p417))
164.36/164.62	(step @p419 :rule chain_resolution :premises (@p418 @p377 @p368 @p366 @p361 @p360 @p355) :args ((@list true true false true false false) (@list @t237 @t217 @t234 @t213 @t220 @t215)))
164.36/164.62	(step @p420 :rule factoring :premises (@p419))
164.36/164.62	(step @p421 :rule chain_resolution :premises (@p420 @p349 @p340 @p335 @p334) :args ((@list true false true true) (@list @t222 @t219 @t202 @t211)))
164.36/164.62	(step @p422 :rule factoring :premises (@p421))
164.36/164.62	(step @p423 :rule refl :args (@t255))
164.36/164.62	(step @p424 :rule bool-double-not-elim :args (@t203))
164.36/164.62	(step @p425 :rule nary_cong :premises (@p424 @p423) :args ((or (not @t256) @t255)))
164.36/164.62	(assume-push @p550 @t256)
164.36/164.62	(step @p427 :rule skolemize :premises (@p550))
164.36/164.62	(step-pop @p550 :rule scope :premises (@p427))
164.36/164.62	(step @p428 :rule process_scope :premises (@p550) :args (@t255))
164.36/164.62	(step @p430 :rule implies_elim :premises (@p428))
164.36/164.62	(step @p431 :rule eq_resolve :premises (@p430 @p425))
164.36/164.62	(step @p432 :rule chain_resolution :premises (@p431 @p422) :args (@t198 (@list @t203)))
164.36/164.62	(step @p433 :rule bool-double-not-elim :args (@t252))
164.36/164.62	(step @p434 :rule refl :args (@t254))
164.36/164.62	(step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t254 (not @t253))))
164.36/164.62	(step @p436 :rule cnf_or_neg :args (@t254 0))
164.36/164.62	(step @p437 :rule eq_resolve :premises (@p436 @p435))
164.36/164.62	(step @p438 :rule reordering :premises (@p437) :args ((or @t252 @t254)))
164.36/164.62	(step @p439 :rule chain_resolution :premises (@p438 @p432) :args (@t198 @t257))
164.36/164.62	(step @p440 :rule cnf_equiv_neg1 :args (@t211))
164.36/164.62	(step @p441 :rule reordering :premises (@p440) :args ((or @t203 @t202 @t211)))
164.36/164.62	(step @p442 :rule chain_resolution :premises (@p441 @p422 @p334) :args ((@list true true) (@list @t203 @t211)))
164.36/164.62	(assume-push @p552 @t202)
164.36/164.62	(step @p444 :rule instantiate :premises (@p552) :args (@t258))
164.36/164.62	(step-pop @p552 :rule scope :premises (@p444))
164.36/164.62	(step @p445 :rule process_scope :premises (@p552) :args (@t261))
164.36/164.62	(step @p447 :rule implies_elim :premises (@p445))
164.36/164.62	(step @p448 :rule chain_resolution :premises (@p447 @p442) :args (@t262 (@list @t202)))
164.36/164.62	(step @p449 :rule cnf_or_neg :args (@t254 2))
164.36/164.62	(step @p450 :rule chain_resolution :premises (@p449 @p432) :args (@t198 @t257))
164.36/164.62	(step @p451 :rule bool-double-not-elim :args (@t250))
164.36/164.62	(step @p452 :rule nary_cong :premises (@p434 @p451) :args ((or @t254 (not @t251))))
164.36/164.62	(step @p453 :rule cnf_or_neg :args (@t254 1))
164.36/164.62	(step @p454 :rule eq_resolve :premises (@p453 @p452))
164.36/164.62	(step @p455 :rule reordering :premises (@p454) :args ((or @t250 @t254)))
164.36/164.62	(step @p456 :rule chain_resolution :premises (@p455 @p432) :args (@t198 @t257))
164.36/164.62	(step @p457 :rule cnf_or_pos :args (@t261))
164.36/164.62	(step @p458 :rule reordering :premises (@p457) :args ((or @t251 @t248 @t260 (not @t261))))
164.36/164.62	(step @p459 :rule chain_resolution :premises (@p458 @p456 @p450 @p448) :args (@t263 (@list @t250 @t248 @t261)))
164.36/164.62	(step @p460 :rule refl :args (@t274))
164.36/164.62	(step @p461 :rule bool-double-not-elim :args (@t259))
164.36/164.62	(step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or (not @t260) @t274)))
164.36/164.62	(assume-push @p554 @t260)
164.36/164.62	(step @p464 :rule skolemize :premises (@p554))
164.36/164.62	(step-pop @p554 :rule scope :premises (@p464))
164.36/164.62	(step @p465 :rule process_scope :premises (@p554) :args (@t274))
164.36/164.62	(step @p467 :rule implies_elim :premises (@p465))
164.36/164.62	(step @p468 :rule eq_resolve :premises (@p467 @p462))
164.36/164.62	(step @p469 :rule chain_resolution :premises (@p468 @p459) :args (@t198 (@list @t259)))
164.36/164.62	(step @p470 :rule bool-double-not-elim :args (@t270))
164.36/164.62	(step @p471 :rule refl :args (@t273))
164.36/164.62	(step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or @t273 (not @t271))))
164.36/164.62	(step @p473 :rule cnf_or_neg :args (@t273 1))
164.36/164.62	(step @p474 :rule eq_resolve :premises (@p473 @p472))
164.36/164.62	(step @p475 :rule reordering :premises (@p474) :args ((or @t270 @t273)))
164.36/164.62	(step @p476 :rule chain_resolution :premises (@p475 @p469) :args (@t198 @t275))
164.36/164.62	(assume-push @p556 @t270)
164.36/164.62	(step @p478 :rule instantiate :premises (@p556) :args (@t258))
164.36/164.62	(step-pop @p556 :rule scope :premises (@p478))
164.36/164.62	(step @p479 :rule process_scope :premises (@p556) :args (@t285))
164.36/164.62	(step @p481 :rule implies_elim :premises (@p479))
164.36/164.62	(step @p482 :rule chain_resolution :premises (@p481 @p476) :args (@t262 (@list @t270)))
164.36/164.62	(step @p483 :rule cnf_or_neg :args (@t273 0))
164.36/164.62	(step @p484 :rule chain_resolution :premises (@p483 @p469) :args (@t198 @t275))
164.36/164.62	(step @p485 :rule aci_norm :args ((= @t280 @t286)))
164.36/164.62	(step @p486 :rule cong :premises (@p485) :args (@t281))
164.36/164.62	(step @p487 :rule symm :premises (@p486))
164.36/164.62	(step @p488 :rule true_intro :premises (@p487))
164.36/164.62	(step @p489 :rule eq-symm :args (@t281 @t287))
164.36/164.62	(step @p490 :rule trans :premises (@p489 @p488))
164.36/164.62	(step @p491 :rule cong :premises (@p487 @p486) :args ((= @t287 @t281)))
164.36/164.62	(step @p492 :rule trans :premises (@p491 @p490))
164.36/164.62	(step @p493 :rule true_elim :premises (@p492))
164.36/164.62	(step @p494 :rule alpha_equiv :args ((forall (@list @t289 @t290 @t288) (or (not (_ @t247 @t289 @t290)) (not (_ @t247 @t290 @t288)) (_ @t247 @t289 @t288))) @t291 (@list @t16 @t19 @t15)))
164.36/164.62	(step @p495 :rule alpha_equiv :args (@t250 (@list @t6 @t5 @t15) @t291))
164.36/164.62	(step @p496 :rule trans :premises (@p495 @p494 @p493))
164.36/164.62	(step @p497 :rule equiv_elim1 :premises (@p496))
164.36/164.62	(step @p498 :rule chain_resolution :premises (@p497 @p456) :args (@t262 (@list @t250)))
164.36/164.62	(step @p499 :rule cnf_or_pos :args (@t285))
164.36/164.62	(step @p500 :rule reordering :premises (@p499) :args ((or @t282 @t272 @t284 (not @t285))))
164.36/164.62	(step @p501 :rule chain_resolution :premises (@p500 @p498 @p484 @p482) :args (@t263 (@list @t281 @t272 @t285)))
164.36/164.62	(step @p502 :rule refl :args (@t298))
164.36/164.62	(step @p503 :rule bool-double-not-elim :args (@t283))
164.36/164.62	(step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or (not @t284) @t298)))
164.36/164.62	(assume-push @p558 @t284)
164.36/164.62	(step @p506 :rule skolemize :premises (@p558))
164.36/164.62	(step-pop @p558 :rule scope :premises (@p506))
164.36/164.62	(step @p507 :rule process_scope :premises (@p558) :args (@t298))
164.36/164.62	(step @p509 :rule implies_elim :premises (@p507))
164.36/164.62	(step @p510 :rule eq_resolve :premises (@p509 @p504))
164.36/164.62	(step @p511 :rule chain_resolution :premises (@p510 @p501) :args (@t198 (@list @t283)))
164.36/164.62	(step @p512 :rule cnf_or_neg :args (@t297 1))
164.36/164.62	(step @p513 :rule chain_resolution :premises (@p512 @p511) :args (@t198 @t299))
164.36/164.62	(step @p514 :rule bool-double-not-elim :args (@t295))
164.36/164.62	(step @p515 :rule refl :args (@t297))
164.36/164.62	(step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or @t297 (not @t296))))
164.36/164.62	(step @p517 :rule cnf_or_neg :args (@t297 0))
164.36/164.62	(step @p518 :rule eq_resolve :premises (@p517 @p516))
164.36/164.62	(step @p519 :rule reordering :premises (@p518) :args ((or @t295 @t297)))
164.36/164.62	(step @p520 :rule chain_resolution :premises (@p519 @p511) :args (@t198 @t299))
164.36/164.62	(step @p521 :rule bool-double-not-elim :args (@t265))
164.36/164.62	(step @p522 :rule nary_cong :premises (@p471 @p521) :args ((or @t273 (not @t266))))
164.36/164.62	(step @p523 :rule cnf_or_neg :args (@t273 2))
164.36/164.62	(step @p524 :rule eq_resolve :premises (@p523 @p522))
164.36/164.62	(step @p525 :rule reordering :premises (@p524) :args ((or @t265 @t273)))
164.36/164.62	(step @p526 :rule chain_resolution :premises (@p525 @p469) :args (@t198 @t275))
164.36/164.62	(step @p527 :rule cnf_or_pos :args (@t300))
164.36/164.62	(step @p528 :rule reordering :premises (@p527) :args ((or @t266 @t296 @t294 (not @t300))))
164.36/164.62	(step @p529 :rule chain_resolution :premises (@p528 @p526 @p520 @p513) :args ((@list false false true) (@list @t265 @t295 @t294)))
164.36/164.62	(assume-push @p560 @t252)
164.36/164.63	(step @p531 :rule instantiate :premises (@p560) :args ((@list @t293 @t292 @t264)))
164.36/164.63	(step-pop @p560 :rule scope :premises (@p531))
164.36/164.63	(step @p532 :rule process_scope :premises (@p560) :args (@t300))
164.36/164.63	(step @p534 :rule implies_elim :premises (@p532))
164.36/164.63	(step @p535 false :rule chain_resolution :premises (@p534 @p529 @p439) :args ((@list true false) (@list @t300 @t252)))
164.36/164.63	)
164.36/164.63	% SZS output end Proof
164.36/164.63	% cvc5 exiting
164.36/164.63	EOF