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 : Sat Sep  6 01:48:22 EDT 2025
0.12/0.33	% CPUTime  : 
0.18/0.48	%----Proving TH0
121.97/122.28	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
121.97/122.28	--- 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...
121.97/122.28	--- 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...
121.97/122.28	--- Run --ho-elim --full-saturate-quant at 14s...
121.97/122.28	% SZS status Theorem
121.97/122.28	% SZS output start Proof
121.97/122.28	(
121.97/122.28	(declare-type tptp.a ())
121.97/122.28	(define @t1 () (@var "Xy" tptp.a))
121.97/122.28	(define @t2 () (@var "Xx" tptp.a))
121.97/122.28	(define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t4 () (_ (_ @t3 @t2) @t1))
121.97/122.28	(define @t5 () (@var "Xz" tptp.a))
121.97/122.28	(define @t6 () (@var "Xx0" tptp.a))
121.97/122.28	(define @t7 () (_ @t3 @t6))
121.97/122.28	(define @t8 () (_ @t7 @t5))
121.97/122.28	(define @t9 () (@var "Xy0" tptp.a))
121.97/122.28	(define @t10 () (_ @t7 @t9))
121.97/122.28	(define @t11 () (_ (_ @t3 @t9) @t5))
121.97/122.28	(define @t12 () (and @t11 @t10))
121.97/122.28	(define @t13 () (@list @t6 @t9 @t5))
121.97/122.28	(define @t14 () (forall @t13 (=> @t12 @t8)))
121.97/122.28	(define @t15 () (@var "R" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t16 () (_ (_ @t15 @t6) @t9))
121.97/122.28	(define @t17 () (@var "S" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t18 () (_ (_ @t17 @t6) @t9))
121.97/122.28	(define @t19 () (or @t18 @t16))
121.97/122.28	(define @t20 () (@list @t6 @t9))
121.97/122.28	(define @t21 () (forall @t20 (=> @t19 @t10)))
121.97/122.28	(define @t22 () (and @t21 @t14))
121.97/122.28	(define @t23 () (=> @t22 @t4))
121.97/122.28	(define @t24 () (@list @t3))
121.97/122.28	(define @t25 () (forall @t24 @t23))
121.97/122.28	(define @t26 () (@var "Xy1" tptp.a))
121.97/122.28	(define @t27 () (@var "Xx1" tptp.a))
121.97/122.28	(define @t28 () (_ @t3 @t27))
121.97/122.28	(define @t29 () (_ @t28 @t26))
121.97/122.28	(define @t30 () (_ (_ @t15 @t27) @t26))
121.97/122.28	(define @t31 () (_ (_ @t17 @t27) @t26))
121.97/122.28	(define @t32 () (or @t31 @t30))
121.97/122.28	(define @t33 () (@list @t27 @t26))
121.97/122.28	(define @t34 () (forall @t33 (=> @t32 @t29)))
121.97/122.28	(define @t35 () (_ @t28 @t5))
121.97/122.28	(define @t36 () (_ @t3 @t26))
121.97/122.28	(define @t37 () (_ @t36 @t5))
121.97/122.28	(define @t38 () (and @t29 @t37))
121.97/122.28	(define @t39 () (@list @t27 @t26 @t5))
121.97/122.28	(define @t40 () (forall @t39 (=> @t38 @t35)))
121.97/122.28	(define @t41 () (and @t40 @t34))
121.97/122.28	(define @t42 () (=> @t41 @t10))
121.97/122.28	(define @t43 () (forall @t24 @t42))
121.97/122.28	(define @t44 () (forall @t33 (=> @t30 @t29)))
121.97/122.28	(define @t45 () (and @t44 @t40))
121.97/122.28	(define @t46 () (=> @t45 @t10))
121.97/122.28	(define @t47 () (forall @t24 @t46))
121.97/122.28	(define @t48 () (forall @t33 (=> @t31 @t29)))
121.97/122.28	(define @t49 () (and @t40 @t48))
121.97/122.28	(define @t50 () (=> @t49 @t10))
121.97/122.28	(define @t51 () (forall @t24 @t50))
121.97/122.28	(define @t52 () (or @t51 @t47))
121.97/122.28	(define @t53 () (=> @t52 @t43))
121.97/122.28	(define @t54 () (forall @t20 @t53))
121.97/122.28	(define @t55 () (@var "Xz0" tptp.a))
121.97/122.28	(define @t56 () (_ @t28 @t55))
121.97/122.28	(define @t57 () (_ @t36 @t55))
121.97/122.28	(define @t58 () (and @t57 @t29))
121.97/122.28	(define @t59 () (@list @t27 @t26 @t55))
121.97/122.28	(define @t60 () (forall @t59 (=> @t58 @t56)))
121.97/122.28	(define @t61 () (and @t34 @t60))
121.97/122.28	(define @t62 () (=> @t61 @t8))
121.97/122.28	(define @t63 () (forall @t24 @t62))
121.97/122.28	(define @t64 () (and @t29 @t57))
121.97/122.28	(define @t65 () (forall @t59 (=> @t64 @t56)))
121.97/122.28	(define @t66 () (and @t34 @t65))
121.97/122.28	(define @t67 () (=> @t66 @t10))
121.97/122.28	(define @t68 () (forall @t24 @t67))
121.97/122.28	(define @t69 () (and @t65 @t34))
121.97/122.28	(define @t70 () (=> @t69 @t11))
121.97/122.28	(define @t71 () (forall @t24 @t70))
121.97/122.28	(define @t72 () (and @t71 @t68))
121.97/122.28	(define @t73 () (=> @t72 @t63))
121.97/122.28	(define @t74 () (forall @t13 @t73))
121.97/122.28	(define @t75 () (or @t16 @t18))
121.97/122.28	(define @t76 () (forall @t20 (=> @t75 @t10)))
121.97/122.28	(define @t77 () (and @t14 @t76))
121.97/122.28	(define @t78 () (=> @t77 @t4))
121.97/122.28	(define @t79 () (forall @t24 @t78))
121.97/122.28	(define @t80 () (not @t79))
121.97/122.28	(define @t81 () (and @t80 @t74 @t54))
121.97/122.28	(define @t82 () (or @t81 @t25))
121.97/122.28	(define @t83 () (@list @t15 @t17 @t2 @t1))
121.97/122.28	(define @t84 () (forall @t83 @t82))
121.97/122.28	(define @t85 () (not @t84))
121.97/122.28	(define @t86 () (@var "BOUND_VARIABLE_7680" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t87 () (@const 0 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool)))))
121.97/122.28	(define @t88 () (@const 1 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))
121.97/122.28	(define @t89 () (_ @t87 @t86 @t6))
121.97/122.28	(define @t90 () (_ @t88 @t89 @t9))
121.97/122.28	(define @t91 () (@var "BOUND_VARIABLE_7703" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t92 () (not (_ @t88 (_ @t87 @t91 @t6) @t9)))
121.97/122.28	(define @t93 () (@var "BOUND_VARIABLE_7707" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t94 () (not (_ @t88 (_ @t87 @t93 @t6) @t9)))
121.97/122.28	(define @t95 () (@var "BOUND_VARIABLE_7630" tptp.a))
121.97/122.28	(define @t96 () (@var "BOUND_VARIABLE_7628" tptp.a))
121.97/122.28	(define @t97 () (@var "BOUND_VARIABLE_7717" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t98 () (_ @t87 @t97 @t27))
121.97/122.28	(define @t99 () (_ @t88 @t98 @t26))
121.97/122.28	(define @t100 () (not (_ @t88 (_ @t87 @t91 @t27) @t26)))
121.97/122.28	(define @t101 () (not (_ @t88 (_ @t87 @t93 @t27) @t26)))
121.97/122.28	(define @t102 () (and @t101 @t100))
121.97/122.28	(define @t103 () (@var "BOUND_VARIABLE_7747" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t104 () (_ @t88 (_ @t87 @t103 @t96) @t95))
121.97/122.28	(define @t105 () (_ @t87 @t103 @t27))
121.97/122.28	(define @t106 () (_ @t87 @t103 @t26))
121.97/122.28	(define @t107 () (_ @t88 @t105 @t26))
121.97/122.28	(define @t108 () (not @t107))
121.97/122.28	(define @t109 () (not (forall @t39 (or @t108 (not (_ @t88 @t106 @t5)) (_ @t88 @t105 @t5)))))
121.97/122.28	(define @t110 () (@list @t103))
121.97/122.28	(define @t111 () (@var "BOUND_VARIABLE_7603" tptp.a))
121.97/122.28	(define @t112 () (@var "BOUND_VARIABLE_7599" tptp.a))
121.97/122.28	(define @t113 () (@var "BOUND_VARIABLE_7777" (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.97/122.28	(define @t114 () (_ @t87 @t113 @t27))
121.97/122.28	(define @t115 () (_ @t88 @t114 @t26))
121.97/122.28	(define @t116 () (@var "BOUND_VARIABLE_7601" tptp.a))
121.97/122.28	(define @t117 () (not (forall @t59 (or @t108 (not (_ @t88 @t106 @t55)) (_ @t88 @t105 @t55)))))
121.97/122.28	(define @t118 () (not (forall @t33 (or @t102 @t107))))
121.97/122.28	(define @t119 () (_ @t87 @t103 @t6))
121.97/122.28	(define @t120 () (_ @t88 @t119 @t9))
121.97/122.28	(define @t121 () (not (forall @t13 (or (not (_ @t88 (_ @t87 @t103 @t9) @t5)) (not @t120) (_ @t88 @t119 @t5)))))
121.97/122.28	(define @t122 () (forall (@list @t91 @t93 @t2 @t1 @t112 @t116 @t111 @t113 @t96 @t95 @t97 @t86) (or (and (not (forall @t110 (or @t121 (not (forall @t20 (or (and @t92 @t94) @t120))) (_ @t88 (_ @t87 @t103 @t2) @t1)))) (or (not (forall @t110 (or @t117 @t118 (_ @t88 (_ @t87 @t103 @t116) @t111)))) (not (forall @t110 (or @t118 @t117 (_ @t88 (_ @t87 @t103 @t112) @t116)))) (not (forall @t33 (or @t102 @t115))) (not (forall @t59 (or (not (_ @t88 (_ @t87 @t113 @t26) @t55)) (not @t115) (_ @t88 @t114 @t55)))) (_ @t88 (_ @t87 @t113 @t112) @t111)) (or (and (not (forall @t110 (or @t109 (not (forall @t33 (or @t101 @t107))) @t104))) (not (forall @t110 (or (not (forall @t33 (or @t100 @t107))) @t109 @t104)))) (not (forall @t39 (or (not @t99) (not (_ @t88 (_ @t87 @t97 @t26) @t5)) (_ @t88 @t98 @t5)))) (not (forall @t33 (or @t102 @t99))) (_ @t88 (_ @t87 @t97 @t96) @t95))) (not (forall @t20 (or (and @t94 @t92) @t90))) (not (forall @t13 (or (not (_ @t88 (_ @t87 @t86 @t9) @t5)) (not @t90) (_ @t88 @t89 @t5)))) (_ @t88 (_ @t87 @t86 @t2) @t1))))
121.97/122.28	(define @t123 () (@quantifiers_skolemize @t122 10))
121.97/122.28	(define @t124 () (_ @t87 @t123 @t27))
121.97/122.28	(define @t125 () (_ @t88 @t124 @t26))
121.97/122.28	(define @t126 () (@quantifiers_skolemize @t122 0))
121.97/122.28	(define @t127 () (not (_ @t88 (_ @t87 @t126 @t27) @t26)))
121.97/122.28	(define @t128 () (@quantifiers_skolemize @t122 1))
121.97/122.28	(define @t129 () (not (_ @t88 (_ @t87 @t128 @t27) @t26)))
121.97/122.28	(define @t130 () (and @t129 @t127))
121.97/122.28	(define @t131 () (forall @t33 (or @t130 @t125)))
121.97/122.28	(define @t132 () (@quantifiers_skolemize @t122 9))
121.97/122.28	(define @t133 () (@quantifiers_skolemize @t122 8))
121.97/122.28	(define @t134 () (_ @t88 (_ @t87 @t123 @t133) @t132))
121.97/122.28	(define @t135 () (not @t131))
121.97/122.28	(define @t136 () (forall @t39 (or (not @t125) (not (_ @t88 (_ @t87 @t123 @t26) @t5)) (_ @t88 @t124 @t5))))
121.97/122.28	(define @t137 () (not @t136))
121.97/122.28	(define @t138 () (_ @t88 (_ @t87 @t103 @t133) @t132))
121.97/122.28	(define @t139 () (forall @t110 (or (not (forall @t33 (or @t127 @t107))) @t109 @t138)))
121.97/122.28	(define @t140 () (not @t139))
121.97/122.28	(define @t141 () (forall @t110 (or @t109 (not (forall @t33 (or @t129 @t107))) @t138)))
121.97/122.28	(define @t142 () (not @t141))
121.97/122.28	(define @t143 () (and @t142 @t140))
121.97/122.28	(define @t144 () (or @t143 @t137 @t135 @t134))
121.97/122.28	(define @t145 () (forall @t33 (or @t129 @t125)))
121.97/122.28	(define @t146 () (@quantifiers_skolemize @t145 1))
121.97/122.28	(define @t147 () (@quantifiers_skolemize @t145 0))
121.97/122.28	(define @t148 () (_ @t88 (_ @t87 @t123 @t147) @t146))
121.97/122.28	(define @t149 () (_ @t88 (_ @t87 @t128 @t147) @t146))
121.97/122.28	(define @t150 () (not @t149))
121.97/122.28	(define @t151 () (and @t150 (not (_ @t88 (_ @t87 @t126 @t147) @t146))))
121.97/122.28	(define @t152 () (or @t151 @t148))
121.97/122.28	(define @t153 () (or @t150 @t148))
121.97/122.28	(define @t154 () (not @t152))
121.97/122.28	(define @t155 () (@list true true false))
121.97/122.28	(define @t156 () (not @t153))
121.97/122.28	(define @t157 () (not @t145))
121.97/122.28	(define @t158 () (or @t137 @t157 @t134))
121.97/122.28	(define @t159 () (@list @t123))
121.97/122.28	(define @t160 () (forall @t33 (or @t127 @t125)))
121.97/122.28	(define @t161 () (not @t160))
121.97/122.28	(define @t162 () (or @t161 @t137 @t134))
121.97/122.28	(define @t163 () (@quantifiers_skolemize @t160 1))
121.97/122.28	(define @t164 () (@quantifiers_skolemize @t160 0))
121.97/122.28	(define @t165 () (_ @t88 (_ @t87 @t123 @t164) @t163))
121.97/122.28	(define @t166 () (_ @t88 (_ @t87 @t126 @t164) @t163))
121.97/122.28	(define @t167 () (not @t166))
121.97/122.28	(define @t168 () (or @t167 @t165))
121.97/122.28	(define @t169 () (not @t168))
121.97/122.28	(define @t170 () (and (not (_ @t88 (_ @t87 @t128 @t164) @t163)) @t167))
121.97/122.28	(define @t171 () (or @t170 @t165))
121.97/122.28	(define @t172 () (@list false true false))
121.97/122.28	(define @t173 () (@var "BOUND_VARIABLE_7656" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t174 () (_ @t173 @t2 @t1))
121.97/122.28	(define @t175 () (_ @t173 @t6 @t9))
121.97/122.28	(define @t176 () (not (forall @t13 (or (not (_ @t173 @t9 @t5)) (not @t175) (_ @t173 @t6 @t5)))))
121.97/122.28	(define @t177 () (_ @t15 @t6 @t9))
121.97/122.28	(define @t178 () (not @t177))
121.97/122.28	(define @t179 () (_ @t17 @t6 @t9))
121.97/122.28	(define @t180 () (not @t179))
121.97/122.28	(define @t181 () (and @t180 @t178))
121.97/122.28	(define @t182 () (not (forall @t20 (or @t181 @t175))))
121.97/122.28	(define @t183 () (@var "BOUND_VARIABLE_7632" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t184 () (_ @t183 @t27 @t26))
121.97/122.28	(define @t185 () (_ @t15 @t27 @t26))
121.97/122.28	(define @t186 () (not @t185))
121.97/122.28	(define @t187 () (_ @t17 @t27 @t26))
121.97/122.28	(define @t188 () (not @t187))
121.97/122.28	(define @t189 () (and @t188 @t186))
121.97/122.28	(define @t190 () (_ @t3 @t96 @t95))
121.97/122.28	(define @t191 () (_ @t3 @t27 @t5))
121.97/122.28	(define @t192 () (_ @t3 @t26 @t5))
121.97/122.28	(define @t193 () (_ @t3 @t27 @t26))
121.97/122.28	(define @t194 () (not @t193))
121.97/122.28	(define @t195 () (forall @t39 (or @t194 (not @t192) @t191)))
121.97/122.28	(define @t196 () (not @t195))
121.97/122.28	(define @t197 () (forall @t33 (or @t186 @t193)))
121.97/122.28	(define @t198 () (not @t197))
121.97/122.28	(define @t199 () (forall @t33 (or @t188 @t193)))
121.97/122.28	(define @t200 () (not @t199))
121.97/122.28	(define @t201 () (or (and (not (forall @t24 (or @t196 @t200 @t190))) (not (forall @t24 (or @t198 @t196 @t190)))) (not (forall @t39 (or (not @t184) (not (_ @t183 @t26 @t5)) (_ @t183 @t27 @t5)))) (not (forall @t33 (or @t189 @t184))) (_ @t183 @t96 @t95)))
121.97/122.28	(define @t202 () (@var "BOUND_VARIABLE_7605" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t203 () (_ @t202 @t27 @t26))
121.97/122.28	(define @t204 () (_ @t3 @t27 @t55))
121.97/122.28	(define @t205 () (_ @t3 @t26 @t55))
121.97/122.28	(define @t206 () (not @t205))
121.97/122.28	(define @t207 () (forall @t59 (or @t194 @t206 @t204)))
121.97/122.28	(define @t208 () (not @t207))
121.97/122.28	(define @t209 () (forall @t33 (or @t189 @t193)))
121.97/122.28	(define @t210 () (not @t209))
121.97/122.28	(define @t211 () (or (not (forall @t24 (or @t208 @t210 (_ @t3 @t116 @t111)))) (not (forall @t24 (or @t210 @t208 (_ @t3 @t112 @t116)))) (not (forall @t33 (or @t189 @t203))) (not (forall @t59 (or (not (_ @t202 @t26 @t55)) (not @t203) (_ @t202 @t27 @t55)))) (_ @t202 @t112 @t111)))
121.97/122.28	(define @t212 () (_ @t3 @t2 @t1))
121.97/122.28	(define @t213 () (_ @t3 @t6 @t9))
121.97/122.28	(define @t214 () (forall @t20 (or (and @t178 @t180) @t213)))
121.97/122.28	(define @t215 () (not @t214))
121.97/122.28	(define @t216 () (_ @t3 @t6 @t5))
121.97/122.28	(define @t217 () (_ @t3 @t9 @t5))
121.97/122.28	(define @t218 () (forall @t13 (or (not @t217) (not @t213) @t216)))
121.97/122.28	(define @t219 () (not @t218))
121.97/122.28	(define @t220 () (not (forall @t24 (or @t219 @t215 @t212))))
121.97/122.28	(define @t221 () (and @t220 @t211 @t201))
121.97/122.28	(define @t222 () (or @t221 @t182 @t176 @t174))
121.97/122.28	(define @t223 () (@list @t15 @t17 @t2 @t1 @t112 @t116 @t111 @t202 @t96 @t95 @t183 @t173))
121.97/122.28	(define @t224 () (or @t182 @t176 @t174))
121.97/122.28	(define @t225 () (or @t221 @t224))
121.97/122.28	(define @t226 () (forall @t223 @t225))
121.97/122.28	(define @t227 () (forall (@list @t112 @t116 @t111 @t202 @t96 @t95 @t183 @t173) @t225))
121.97/122.28	(define @t228 () (forall (@list @t173) @t224))
121.97/122.28	(define @t229 () (@list @t3))
121.97/122.28	(define @t230 () (forall (@list @t96 @t95 @t183) @t201))
121.97/122.28	(define @t231 () (@var "BOUND_VARIABLE_7559" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t232 () (@list @t112 @t116 @t111 @t202 @t96 @t95 @t183))
121.97/122.28	(define @t233 () (forall @t232 @t201))
121.97/122.28	(define @t234 () (forall (@list @t112 @t116 @t111 @t202) @t211))
121.97/122.28	(define @t235 () (@var "BOUND_VARIABLE_7482" (-> tptp.a tptp.a Bool)))
121.97/122.28	(define @t236 () (forall @t232 @t211))
121.97/122.28	(define @t237 () (forall @t232 @t220))
121.97/122.28	(define @t238 () (and @t237 @t236 @t233))
121.97/122.28	(define @t239 () (forall @t232 @t221))
121.97/122.28	(define @t240 () (or @t239 @t228))
121.97/122.28	(define @t241 () (forall @t20 (or @t181 @t213)))
121.97/122.28	(define @t242 () (not @t241))
121.97/122.28	(define @t243 () (_ @t231 @t6 @t9))
121.97/122.28	(define @t244 () (_ @t231 @t27 @t26))
121.97/122.28	(define @t245 () (not (forall @t33 (or @t189 @t244))))
121.97/122.28	(define @t246 () (not (forall @t39 (or (not @t244) (not (_ @t231 @t26 @t5)) (_ @t231 @t27 @t5)))))
121.97/122.28	(define @t247 () (forall @t24 (or @t198 @t196 @t213)))
121.97/122.28	(define @t248 () (forall @t24 (or @t196 @t200 @t213)))
121.97/122.28	(define @t249 () (and (not @t248) (not @t247)))
121.97/122.28	(define @t250 () (or @t249 @t246 @t245 @t243))
121.97/122.28	(define @t251 () (@list @t6 @t9 @t231))
121.97/122.28	(define @t252 () (_ @t235 @t6 @t5))
121.97/122.28	(define @t253 () (_ @t235 @t27 @t26))
121.97/122.28	(define @t254 () (not (forall @t59 (or (not (_ @t235 @t26 @t55)) (not @t253) (_ @t235 @t27 @t55)))))
121.97/122.28	(define @t255 () (not (forall @t33 (or @t189 @t253))))
121.97/122.28	(define @t256 () (forall @t24 (or @t210 @t208 @t213)))
121.97/122.28	(define @t257 () (not @t256))
121.97/122.28	(define @t258 () (forall @t24 (or @t208 @t210 @t217)))
121.97/122.28	(define @t259 () (not @t258))
121.97/122.28	(define @t260 () (or @t259 @t257 @t255 @t254 @t252))
121.97/122.28	(define @t261 () (@list @t6 @t9 @t5 @t235))
121.97/122.28	(define @t262 () (or @t242 @t219 @t4))
121.97/122.28	(define @t263 () (and @t241 @t218))
121.97/122.28	(define @t264 () (not @t10))
121.97/122.28	(define @t265 () (not @t11))
121.97/122.28	(define @t266 () (or @t265 @t264 @t8))
121.97/122.28	(define @t267 () (not @t16))
121.97/122.28	(define @t268 () (not @t18))
121.97/122.28	(define @t269 () (and @t268 @t267))
121.97/122.28	(define @t270 () (or @t269 @t10))
121.97/122.28	(define @t271 () (or @t246 @t245 @t243))
121.97/122.28	(define @t272 () (or @t249 @t271))
121.97/122.28	(define @t273 () (forall @t251 @t272))
121.97/122.28	(define @t274 () (@list @t231))
121.97/122.28	(define @t275 () (forall @t274 @t272))
121.97/122.28	(define @t276 () (forall @t274 @t271))
121.97/122.28	(define @t277 () (or @t249 @t276))
121.97/122.28	(define @t278 () (forall @t24 (or @t196 @t210 @t213)))
121.97/122.28	(define @t279 () (or @t248 @t247))
121.97/122.28	(define @t280 () (or @t196 @t210 @t10))
121.97/122.28	(define @t281 () (and @t195 @t209))
121.97/122.28	(define @t282 () (not @t30))
121.97/122.28	(define @t283 () (not @t31))
121.97/122.28	(define @t284 () (and @t283 @t282))
121.97/122.28	(define @t285 () (or @t284 @t29))
121.97/122.28	(define @t286 () (not @t37))
121.97/122.28	(define @t287 () (not @t29))
121.97/122.28	(define @t288 () (or @t287 @t286 @t35))
121.97/122.28	(define @t289 () (or @t198 @t196 @t10))
121.97/122.28	(define @t290 () (and @t197 @t195))
121.97/122.28	(define @t291 () (or @t282 @t29))
121.97/122.28	(define @t292 () (or @t196 @t200 @t10))
121.97/122.28	(define @t293 () (and @t195 @t199))
121.97/122.28	(define @t294 () (or @t283 @t29))
121.97/122.28	(define @t295 () (or @t255 @t254 @t252))
121.97/122.28	(define @t296 () (or @t259 @t257 @t295))
121.97/122.28	(define @t297 () (forall @t261 @t296))
121.97/122.28	(define @t298 () (@list @t235))
121.97/122.28	(define @t299 () (forall @t298 @t296))
121.97/122.28	(define @t300 () (forall @t298 @t295))
121.97/122.28	(define @t301 () (or @t259 @t257 @t300))
121.97/122.28	(define @t302 () (forall @t59 (or @t206 @t194 @t204)))
121.97/122.28	(define @t303 () (not @t302))
121.97/122.28	(define @t304 () (forall @t24 (or @t210 @t303 @t216)))
121.97/122.28	(define @t305 () (or @t259 @t257 @t304))
121.97/122.28	(define @t306 () (and @t258 @t256))
121.97/122.28	(define @t307 () (or @t210 @t303 @t8))
121.97/122.28	(define @t308 () (and @t209 @t302))
121.97/122.28	(define @t309 () (not @t57))
121.97/122.28	(define @t310 () (or @t309 @t287 @t56))
121.97/122.28	(define @t311 () (or @t210 @t208 @t10))
121.97/122.28	(define @t312 () (and @t209 @t207))
121.97/122.28	(define @t313 () (or @t287 @t309 @t56))
121.97/122.28	(define @t314 () (or @t208 @t210 @t11))
121.97/122.28	(define @t315 () (and @t207 @t209))
121.97/122.28	(define @t316 () (or @t219 @t215 @t4))
121.97/122.28	(define @t317 () (and @t218 @t214))
121.97/122.28	(define @t318 () (and @t267 @t268))
121.97/122.28	(define @t319 () (or @t318 @t10))
121.97/122.28	(define @t320 () (@quantifiers_skolemize @t122 3))
121.97/122.28	(define @t321 () (@quantifiers_skolemize @t122 2))
121.97/122.28	(define @t322 () (@quantifiers_skolemize @t122 11))
121.97/122.28	(define @t323 () (_ @t88 (_ @t87 @t322 @t321) @t320))
121.97/122.28	(define @t324 () (_ @t87 @t322 @t6))
121.97/122.28	(define @t325 () (_ @t88 @t324 @t9))
121.97/122.28	(define @t326 () (forall @t13 (or (not (_ @t88 (_ @t87 @t322 @t9) @t5)) (not @t325) (_ @t88 @t324 @t5))))
121.97/122.28	(define @t327 () (not @t326))
121.97/122.28	(define @t328 () (not (_ @t88 (_ @t87 @t126 @t6) @t9)))
121.97/122.28	(define @t329 () (not (_ @t88 (_ @t87 @t128 @t6) @t9)))
121.97/122.28	(define @t330 () (and @t329 @t328))
121.97/122.28	(define @t331 () (forall @t20 (or @t330 @t325)))
121.97/122.28	(define @t332 () (not @t331))
121.97/122.28	(define @t333 () (@quantifiers_skolemize @t122 6))
121.97/122.28	(define @t334 () (@quantifiers_skolemize @t122 4))
121.97/122.28	(define @t335 () (@quantifiers_skolemize @t122 7))
121.97/122.28	(define @t336 () (_ @t87 @t335 @t334))
121.97/122.28	(define @t337 () (_ @t88 @t336 @t333))
121.97/122.28	(define @t338 () (_ @t87 @t335 @t27))
121.97/122.28	(define @t339 () (_ @t88 @t338 @t55))
121.97/122.28	(define @t340 () (_ @t88 @t338 @t26))
121.97/122.28	(define @t341 () (not @t340))
121.97/122.28	(define @t342 () (not (_ @t88 (_ @t87 @t335 @t26) @t55)))
121.97/122.28	(define @t343 () (or @t342 @t341 @t339))
121.97/122.28	(define @t344 () (forall @t59 @t343))
121.97/122.28	(define @t345 () (not @t344))
121.97/122.28	(define @t346 () (forall @t33 (or @t130 @t340)))
121.97/122.28	(define @t347 () (not @t346))
121.97/122.28	(define @t348 () (@quantifiers_skolemize @t122 5))
121.97/122.28	(define @t349 () (not (forall @t33 (or @t130 @t107))))
121.97/122.28	(define @t350 () (forall @t110 (or @t349 @t117 (_ @t88 (_ @t87 @t103 @t334) @t348))))
121.97/122.28	(define @t351 () (not @t350))
121.97/122.28	(define @t352 () (forall @t110 (or @t117 @t349 (_ @t88 (_ @t87 @t103 @t348) @t333))))
121.97/122.28	(define @t353 () (not @t352))
121.97/122.28	(define @t354 () (or @t353 @t351 @t347 @t345 @t337))
121.97/122.28	(define @t355 () (and @t328 @t329))
121.97/122.28	(define @t356 () (forall @t110 (or @t121 (not (forall @t20 (or @t355 @t120))) (_ @t88 (_ @t87 @t103 @t321) @t320))))
121.97/122.28	(define @t357 () (not @t356))
121.97/122.28	(define @t358 () (and @t357 @t354 @t144))
121.97/122.28	(define @t359 () (or @t358 @t332 @t327 @t323))
121.97/122.28	(define @t360 () (@list true))
121.97/122.28	(define @t361 () (@list @t359))
121.97/122.28	(define @t362 () (or @t355 @t325))
121.97/122.28	(define @t363 () (forall @t20 @t362))
121.97/122.28	(define @t364 () (@list false))
121.97/122.28	(define @t365 () (not @t363))
121.97/122.28	(define @t366 () (or @t327 @t365 @t323))
121.97/122.28	(define @t367 () (not @t144))
121.97/122.28	(define @t368 () (not @t354))
121.97/122.28	(define @t369 () (@list @t354))
121.97/122.28	(define @t370 () (_ @t88 @t336 @t348))
121.97/122.28	(define @t371 () (not @t370))
121.97/122.28	(define @t372 () (_ @t88 (_ @t87 @t335 @t348) @t333))
121.97/122.28	(define @t373 () (not @t372))
121.97/122.28	(define @t374 () (or @t373 @t371 @t337))
121.97/122.28	(define @t375 () (@list @t344))
121.97/122.28	(define @t376 () (@list @t335))
121.97/122.28	(define @t377 () (or @t341 @t342 @t339))
121.97/122.28	(define @t378 () (forall @t59 @t377))
121.97/122.28	(define @t379 () (not @t378))
121.97/122.28	(define @t380 () (or @t347 @t379 @t370))
121.97/122.28	(define @t381 () (@list false false false))
121.97/122.28	(define @t382 () (or @t379 @t347 @t372))
121.97/122.28	(assume @p1 @t85)
121.97/122.28	(assume @p2 true)
121.97/122.28	(step @p3 :rule bool-double-not-elim :args (@t131))
121.97/122.28	(step @p4 :rule refl :args (@t144))
121.97/122.28	(step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t144 (not @t135))))
121.97/122.28	(step @p6 :rule cnf_or_neg :args (@t144 2))
121.97/122.28	(step @p7 :rule eq_resolve :premises (@p6 @p5))
121.97/122.28	(step @p8 :rule reordering :premises (@p7) :args ((or @t131 @t144)))
121.97/122.28	(step @p9 :rule cnf_or_neg :args (@t144 3))
121.97/122.28	(step @p10 :rule bool-double-not-elim :args (@t136))
121.97/122.28	(step @p11 :rule nary_cong :premises (@p4 @p10) :args ((or @t144 (not @t137))))
121.97/122.28	(step @p12 :rule cnf_or_neg :args (@t144 1))
121.97/122.28	(step @p13 :rule eq_resolve :premises (@p12 @p11))
121.97/122.28	(step @p14 :rule reordering :premises (@p13) :args ((or @t136 @t144)))
121.97/122.28	(step @p15 :rule cnf_or_neg :args (@t144 0))
121.97/122.28	(assume-push @p559 @t131)
121.97/122.28	(step @p17 :rule instantiate :premises (@p559) :args ((@list @t147 @t146)))
121.97/122.28	(step-pop @p559 :rule scope :premises (@p17))
121.97/122.28	(step @p18 :rule process_scope :premises (@p559) :args (@t152))
121.97/122.28	(step @p20 :rule implies_elim :premises (@p18))
121.97/122.28	(step @p21 :rule bool-double-not-elim :args (@t149))
121.97/122.28	(step @p22 :rule refl :args (@t153))
121.97/122.28	(step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t153 (not @t150))))
121.97/122.28	(step @p24 :rule cnf_or_neg :args (@t153 0))
121.97/122.28	(step @p25 :rule eq_resolve :premises (@p24 @p23))
121.97/122.28	(step @p26 :rule reordering :premises (@p25) :args ((or @t149 @t153)))
121.97/122.28	(step @p27 :rule cnf_or_neg :args (@t153 1))
121.97/122.28	(step @p28 :rule cnf_and_pos :args (@t151 0))
121.97/122.28	(step @p29 :rule reordering :premises (@p28) :args ((or @t150 (not @t151))))
121.97/122.28	(step @p30 :rule cnf_or_pos :args (@t152))
121.97/122.28	(step @p31 :rule reordering :premises (@p30) :args ((or @t148 @t151 @t154)))
121.97/122.28	(step @p32 :rule chain_resolution :premises (@p31 @p29 @p27 @p26) :args (@t155 (@list @t151 @t148 @t149)))
121.97/122.28	(step @p33 :rule factoring :premises (@p32))
121.97/122.28	(step @p34 :rule reordering :premises (@p33) :args ((or @t153 @t154)))
121.97/122.28	(step @p35 :rule refl :args (@t156))
121.97/122.28	(step @p36 :rule bool-double-not-elim :args (@t145))
121.97/122.28	(step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t157) @t156)))
121.97/122.28	(assume-push @p561 @t157)
121.97/122.28	(step @p39 :rule skolemize :premises (@p561))
121.97/122.28	(step-pop @p561 :rule scope :premises (@p39))
121.97/122.28	(step @p40 :rule process_scope :premises (@p561) :args (@t156))
121.97/122.28	(step @p42 :rule implies_elim :premises (@p40))
121.97/122.28	(step @p43 :rule eq_resolve :premises (@p42 @p37))
121.97/122.28	(step @p44 :rule cnf_or_pos :args (@t158))
121.97/122.28	(step @p45 :rule reordering :premises (@p44) :args ((or @t137 @t134 @t157 (not @t158))))
121.97/122.28	(assume-push @p563 @t141)
121.97/122.28	(step @p47 :rule instantiate :premises (@p563) :args (@t159))
121.97/122.28	(step-pop @p563 :rule scope :premises (@p47))
121.97/122.28	(step @p48 :rule process_scope :premises (@p563) :args (@t158))
121.97/122.28	(step @p50 :rule implies_elim :premises (@p48))
121.97/122.28	(step @p51 :rule bool-double-not-elim :args (@t139))
121.97/122.28	(step @p52 :rule bool-double-not-elim :args (@t141))
121.97/122.28	(step @p53 :rule refl :args (@t143))
121.97/122.28	(step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args ((or @t143 (not @t142) (not @t140))))
121.97/122.28	(step @p55 :rule cnf_and_neg :args (@t143))
121.97/122.28	(step @p56 :rule eq_resolve :premises (@p55 @p54))
121.97/122.28	(step @p57 :rule reordering :premises (@p56) :args ((or @t141 @t139 @t143)))
121.97/122.28	(assume-push @p565 @t139)
121.97/122.28	(step @p59 :rule instantiate :premises (@p565) :args (@t159))
121.97/122.28	(step-pop @p565 :rule scope :premises (@p59))
121.97/122.28	(step @p60 :rule process_scope :premises (@p565) :args (@t162))
121.97/122.28	(step @p62 :rule implies_elim :premises (@p60))
121.97/122.28	(step @p63 :rule cnf_or_pos :args (@t162))
121.97/122.28	(step @p64 :rule reordering :premises (@p63) :args ((or @t137 @t134 @t161 (not @t162))))
121.97/122.28	(step @p65 :rule refl :args (@t169))
121.97/122.28	(step @p66 :rule bool-double-not-elim :args (@t160))
121.97/122.28	(step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t161) @t169)))
121.97/122.28	(assume-push @p567 @t161)
121.97/122.28	(step @p69 :rule skolemize :premises (@p567))
121.97/122.28	(step-pop @p567 :rule scope :premises (@p69))
121.97/122.28	(step @p70 :rule process_scope :premises (@p567) :args (@t169))
121.97/122.28	(step @p72 :rule implies_elim :premises (@p70))
121.97/122.28	(step @p73 :rule eq_resolve :premises (@p72 @p67))
121.97/122.28	(step @p74 :rule bool-double-not-elim :args (@t166))
121.97/122.28	(step @p75 :rule refl :args (@t168))
121.97/122.28	(step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t168 (not @t167))))
121.97/122.28	(step @p77 :rule cnf_or_neg :args (@t168 0))
121.97/122.28	(step @p78 :rule eq_resolve :premises (@p77 @p76))
121.97/122.28	(step @p79 :rule reordering :premises (@p78) :args ((or @t166 @t168)))
121.97/122.28	(step @p80 :rule cnf_or_neg :args (@t168 1))
121.97/122.28	(step @p81 :rule cnf_and_pos :args (@t170 1))
121.97/122.28	(step @p82 :rule reordering :premises (@p81) :args ((or @t167 (not @t170))))
121.97/122.28	(assume-push @p569 @t131)
121.97/122.28	(step @p84 :rule instantiate :premises (@p569) :args ((@list @t164 @t163)))
121.97/122.28	(step-pop @p569 :rule scope :premises (@p84))
121.97/122.28	(step @p85 :rule process_scope :premises (@p569) :args (@t171))
121.97/122.28	(step @p87 :rule implies_elim :premises (@p85))
121.97/122.28	(step @p88 :rule cnf_or_pos :args (@t171))
121.97/122.28	(step @p89 :rule reordering :premises (@p88) :args ((or @t165 @t170 (not @t171))))
121.97/122.28	(step @p90 :rule chain_resolution :premises (@p89 @p87 @p82 @p80 @p79) :args ((@list false true true false) (@list @t171 @t170 @t165 @t166)))
121.97/122.28	(step @p91 :rule factoring :premises (@p90))
121.97/122.28	(step @p92 :rule chain_resolution :premises (@p91 @p73 @p64 @p62 @p57 @p50 @p45 @p43 @p34 @p20 @p15) :args ((@list true true false false true true false false false true) (@list @t168 @t160 @t162 @t139 @t141 @t158 @t145 @t153 @t152 @t143)))
121.97/122.28	(step @p93 :rule factoring :premises (@p92))
121.97/122.28	(step @p94 :rule chain_resolution :premises (@p93 @p14 @p9 @p8) :args (@t172 (@list @t136 @t134 @t131)))
121.97/122.28	(step @p95 :rule factoring :premises (@p94))
121.97/122.28	; WARNING: add trust step for TRUST
121.97/122.28	; trust TRUST PREPROCESS_HO_ELIM
121.97/122.28	(step @p96 :rule trust :premises () :args ((= (not (forall @t223 @t222)) (not @t122))))
121.97/122.28	(step @p97 :rule aci_norm :args ((= @t225 @t222)))
121.97/122.28	(step @p98 :rule cong :premises (@p97) :args (@t226))
121.97/122.28	(step @p99 :rule quant-merge-prenex :args ((= (forall @t83 @t227) @t226)))
121.97/122.28	(step @p100 :rule alpha_equiv :args (@t228 (@list @t173) @t229))
121.97/122.28	(step @p101 :rule alpha_equiv :args (@t230 (@list @t96 @t95 @t183) (@list @t6 @t9 @t231)))
121.97/122.28	(step @p102 :rule quant-unused-vars :args ((= @t233 @t230)))
121.97/122.28	(step @p103 :rule trans :premises (@p102 @p101))
121.97/122.28	(step @p104 :rule alpha_equiv :args (@t234 (@list @t112 @t116 @t111 @t202) (@list @t6 @t9 @t5 @t235)))
121.97/122.28	(step @p105 :rule quant-unused-vars :args ((= @t236 @t234)))
121.97/122.28	(step @p106 :rule trans :premises (@p105 @p104))
121.97/122.28	(step @p107 :rule quant-unused-vars :args ((= @t237 @t220)))
121.97/122.28	(step @p108 :rule nary_cong :premises (@p107 @p106 @p103) :args (@t238))
121.97/122.28	(step @p109 :rule quant-miniscope-and :args ((= @t239 @t238)))
121.97/122.28	(step @p110 :rule trans :premises (@p109 @p108))
121.97/122.28	(step @p111 :rule nary_cong :premises (@p110 @p100) :args (@t240))
121.97/122.28	(step @p112 :rule quant-miniscope-or :args ((= @t227 @t240)))
121.97/122.28	(step @p113 :rule trans :premises (@p112 @p111))
121.97/122.28	(step @p114 :rule symm :premises (@p113))
121.97/122.28	(step @p115 :rule cong :premises (@p114) :args ((forall @t83 (or (and @t220 (forall @t261 @t260) (forall @t251 @t250)) (forall @t24 (or @t242 @t219 @t212))))))
121.97/122.28	(step @p116 :rule trans :premises (@p115 @p99))
121.97/122.28	(step @p117 :rule trans :premises (@p116 @p98))
121.97/122.28	(step @p118 :rule refl :args (@t212))
121.97/122.28	(step @p119 :rule refl :args (@t4))
121.97/122.28	(step @p120 :rule cong :premises (@p119 @p118) :args ((= @t4 @t212)))
121.97/122.28	(step @p121 :rule symm :premises (@p120))
121.97/122.28	(step @p122 :rule eq_resolve :premises (@p119 @p121))
121.97/122.28	(step @p123 :rule refl :args (@t219))
121.97/122.28	(step @p124 :rule refl :args (@t242))
121.97/122.28	(step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args (@t262))
121.97/122.28	(step @p126 :rule cong :premises (@p125) :args ((forall @t24 @t262)))
121.97/122.28	(step @p127 :rule aci_norm :args ((= (or (or @t242 @t219) @t4) @t262)))
121.97/122.28	(step @p128 :rule bool-and-de-morgan :args (@t241 @t218 true))
121.97/122.28	(step @p129 :rule nary_cong :premises (@p128 @p119) :args ((or (not @t263) @t4)))
121.97/122.28	(step @p130 :rule trans :premises (@p129 @p127))
121.97/122.28	(step @p131 :rule bool-impl-elim :args (@t263 @t4))
121.97/122.28	(step @p132 :rule trans :premises (@p131 @p130))
121.97/122.28	(step @p133 :rule cong :premises (@p132) :args ((forall @t24 (=> @t263 @t4))))
121.97/122.28	(step @p134 :rule trans :premises (@p133 @p126))
121.97/122.28	(step @p135 :rule refl :args (@t4))
121.97/122.28	(step @p136 :rule refl :args (@t216))
121.97/122.28	(step @p137 :rule refl :args (@t8))
121.97/122.28	(step @p138 :rule cong :premises (@p137 @p136) :args ((= @t8 @t216)))
121.97/122.28	(step @p139 :rule symm :premises (@p138))
121.97/122.28	(step @p140 :rule eq_resolve :premises (@p137 @p139))
121.97/122.28	(step @p141 :rule refl :args (@t213))
121.97/122.28	(step @p142 :rule refl :args (@t10))
121.97/122.28	(step @p143 :rule cong :premises (@p142 @p141) :args ((= @t10 @t213)))
121.97/122.28	(step @p144 :rule symm :premises (@p143))
121.97/122.28	(step @p145 :rule eq_resolve :premises (@p142 @p144))
121.97/122.28	(step @p146 :rule cong :premises (@p145) :args (@t264))
121.97/122.28	(step @p147 :rule refl :args (@t217))
121.97/122.28	(step @p148 :rule refl :args (@t11))
121.97/122.28	(step @p149 :rule cong :premises (@p148 @p147) :args ((= @t11 @t217)))
121.97/122.28	(step @p150 :rule symm :premises (@p149))
121.97/122.28	(step @p151 :rule eq_resolve :premises (@p148 @p150))
121.97/122.28	(step @p152 :rule cong :premises (@p151) :args (@t265))
121.97/122.28	(step @p153 :rule nary_cong :premises (@p152 @p146 @p140) :args (@t266))
121.97/122.28	(step @p154 :rule cong :premises (@p153) :args ((forall @t13 @t266)))
121.97/122.28	(step @p155 :rule aci_norm :args ((= (or (or @t265 @t264) @t8) @t266)))
121.97/122.28	(step @p156 :rule bool-and-de-morgan :args (@t11 @t10 true))
121.97/122.28	(step @p157 :rule nary_cong :premises (@p156 @p137) :args ((or (not @t12) @t8)))
121.97/122.28	(step @p158 :rule trans :premises (@p157 @p155))
121.97/122.28	(step @p159 :rule bool-impl-elim :args (@t12 @t8))
121.97/122.28	(step @p160 :rule trans :premises (@p159 @p158))
121.97/122.28	(step @p161 :rule cong :premises (@p160) :args (@t14))
121.97/122.28	(step @p162 :rule trans :premises (@p161 @p154))
121.97/122.28	(step @p163 :rule refl :args (@t177))
121.97/122.28	(step @p164 :rule refl :args (@t16))
121.97/122.28	(step @p165 :rule cong :premises (@p164 @p163) :args ((= @t16 @t177)))
121.97/122.28	(step @p166 :rule symm :premises (@p165))
121.97/122.28	(step @p167 :rule eq_resolve :premises (@p164 @p166))
121.97/122.28	(step @p168 :rule cong :premises (@p167) :args (@t267))
121.97/122.28	(step @p169 :rule refl :args (@t179))
121.97/122.28	(step @p170 :rule refl :args (@t18))
121.97/122.28	(step @p171 :rule cong :premises (@p170 @p169) :args ((= @t18 @t179)))
121.97/122.28	(step @p172 :rule symm :premises (@p171))
121.97/122.28	(step @p173 :rule eq_resolve :premises (@p170 @p172))
121.97/122.28	(step @p174 :rule cong :premises (@p173) :args (@t268))
121.97/122.28	(step @p175 :rule nary_cong :premises (@p174 @p168) :args (@t269))
121.97/122.28	(step @p176 :rule nary_cong :premises (@p175 @p145) :args (@t270))
121.97/122.28	(step @p177 :rule cong :premises (@p176) :args ((forall @t20 @t270)))
121.97/122.28	(step @p178 :rule bool-or-de-morgan :args (@t18 @t16 false))
121.97/122.28	(step @p179 :rule nary_cong :premises (@p178 @p142) :args ((or (not @t19) @t10)))
121.97/122.28	(step @p180 :rule bool-impl-elim :args (@t19 @t10))
121.97/122.28	(step @p181 :rule trans :premises (@p180 @p179))
121.97/122.28	(step @p182 :rule cong :premises (@p181) :args (@t21))
121.97/122.28	(step @p183 :rule trans :premises (@p182 @p177))
121.97/122.28	(step @p184 :rule nary_cong :premises (@p183 @p162) :args (@t22))
121.97/122.28	(step @p185 :rule cong :premises (@p184 @p135) :args (@t23))
121.97/122.28	(step @p186 :rule cong :premises (@p185) :args (@t25))
121.97/122.28	(step @p187 :rule trans :premises (@p186 @p134))
121.97/122.28	(step @p188 :rule aci_norm :args ((= @t272 @t250)))
121.97/122.28	(step @p189 :rule cong :premises (@p188) :args (@t273))
121.97/122.28	(step @p190 :rule quant-merge-prenex :args ((= (forall @t20 @t275) @t273)))
121.97/122.28	(step @p191 :rule alpha_equiv :args (@t276 (@list @t231) @t229))
121.97/122.28	(step @p192 :rule refl :args (@t249))
121.97/122.28	(step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t277))
121.97/122.28	(step @p194 :rule quant-miniscope-or :args ((= @t275 @t277)))
121.97/122.28	(step @p195 :rule trans :premises (@p194 @p193))
121.97/122.28	(step @p196 :rule symm :premises (@p195))
121.97/122.28	(step @p197 :rule cong :premises (@p196) :args ((forall @t20 (or @t249 @t278))))
121.97/122.28	(step @p198 :rule trans :premises (@p197 @p190))
121.97/122.28	(step @p199 :rule trans :premises (@p198 @p189))
121.97/122.28	(step @p200 :rule refl :args (@t278))
121.97/122.28	(step @p201 :rule bool-or-de-morgan :args (@t248 @t247 false))
121.97/122.28	(step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t279) @t278)))
121.97/122.28	(step @p203 :rule bool-impl-elim :args (@t279 @t278))
121.97/122.28	(step @p204 :rule trans :premises (@p203 @p202))
121.97/122.28	(step @p205 :rule cong :premises (@p204) :args ((forall @t20 (=> @t279 @t278))))
121.97/122.28	(step @p206 :rule trans :premises (@p205 @p199))
121.97/122.28	(step @p207 :rule refl :args (@t210))
121.97/122.28	(step @p208 :rule refl :args (@t196))
121.97/122.28	(step @p209 :rule nary_cong :premises (@p208 @p207 @p145) :args (@t280))
121.97/122.28	(step @p210 :rule cong :premises (@p209) :args ((forall @t24 @t280)))
121.97/122.28	(step @p211 :rule aci_norm :args ((= (or (or @t196 @t210) @t10) @t280)))
121.97/122.28	(step @p212 :rule bool-and-de-morgan :args (@t195 @t209 true))
121.97/122.28	(step @p213 :rule nary_cong :premises (@p212 @p142) :args ((or (not @t281) @t10)))
121.97/122.28	(step @p214 :rule trans :premises (@p213 @p211))
121.97/122.28	(step @p215 :rule bool-impl-elim :args (@t281 @t10))
121.97/122.28	(step @p216 :rule trans :premises (@p215 @p214))
121.97/122.28	(step @p217 :rule cong :premises (@p216) :args ((forall @t24 (=> @t281 @t10))))
121.97/122.28	(step @p218 :rule trans :premises (@p217 @p210))
121.97/122.28	(step @p219 :rule refl :args (@t10))
121.97/122.28	(step @p220 :rule refl :args (@t193))
121.97/122.28	(step @p221 :rule refl :args (@t29))
121.97/122.28	(step @p222 :rule cong :premises (@p221 @p220) :args ((= @t29 @t193)))
121.97/122.28	(step @p223 :rule symm :premises (@p222))
121.97/122.28	(step @p224 :rule eq_resolve :premises (@p221 @p223))
121.97/122.28	(step @p225 :rule refl :args (@t185))
121.97/122.28	(step @p226 :rule refl :args (@t30))
121.97/122.28	(step @p227 :rule cong :premises (@p226 @p225) :args ((= @t30 @t185)))
121.97/122.28	(step @p228 :rule symm :premises (@p227))
121.97/122.28	(step @p229 :rule eq_resolve :premises (@p226 @p228))
121.97/122.28	(step @p230 :rule cong :premises (@p229) :args (@t282))
121.97/122.28	(step @p231 :rule refl :args (@t187))
121.97/122.28	(step @p232 :rule refl :args (@t31))
121.97/122.28	(step @p233 :rule cong :premises (@p232 @p231) :args ((= @t31 @t187)))
121.97/122.28	(step @p234 :rule symm :premises (@p233))
121.97/122.28	(step @p235 :rule eq_resolve :premises (@p232 @p234))
121.97/122.28	(step @p236 :rule cong :premises (@p235) :args (@t283))
121.97/122.28	(step @p237 :rule nary_cong :premises (@p236 @p230) :args (@t284))
121.97/122.28	(step @p238 :rule nary_cong :premises (@p237 @p224) :args (@t285))
121.97/122.28	(step @p239 :rule cong :premises (@p238) :args ((forall @t33 @t285)))
121.97/122.28	(step @p240 :rule bool-or-de-morgan :args (@t31 @t30 false))
121.97/122.28	(step @p241 :rule nary_cong :premises (@p240 @p221) :args ((or (not @t32) @t29)))
121.97/122.28	(step @p242 :rule bool-impl-elim :args (@t32 @t29))
121.97/122.28	(step @p243 :rule trans :premises (@p242 @p241))
121.97/122.28	(step @p244 :rule cong :premises (@p243) :args (@t34))
121.97/122.28	(step @p245 :rule trans :premises (@p244 @p239))
121.97/122.28	(step @p246 :rule refl :args (@t191))
121.97/122.28	(step @p247 :rule refl :args (@t35))
121.97/122.28	(step @p248 :rule cong :premises (@p247 @p246) :args ((= @t35 @t191)))
121.97/122.28	(step @p249 :rule symm :premises (@p248))
121.97/122.28	(step @p250 :rule eq_resolve :premises (@p247 @p249))
121.97/122.28	(step @p251 :rule refl :args (@t192))
121.97/122.28	(step @p252 :rule refl :args (@t37))
121.97/122.28	(step @p253 :rule cong :premises (@p252 @p251) :args ((= @t37 @t192)))
121.97/122.28	(step @p254 :rule symm :premises (@p253))
121.97/122.28	(step @p255 :rule eq_resolve :premises (@p252 @p254))
121.97/122.28	(step @p256 :rule cong :premises (@p255) :args (@t286))
121.97/122.28	(step @p257 :rule cong :premises (@p224) :args (@t287))
121.97/122.28	(step @p258 :rule nary_cong :premises (@p257 @p256 @p250) :args (@t288))
121.97/122.28	(step @p259 :rule cong :premises (@p258) :args ((forall @t39 @t288)))
121.97/122.28	(step @p260 :rule aci_norm :args ((= (or (or @t287 @t286) @t35) @t288)))
121.97/122.28	(step @p261 :rule bool-and-de-morgan :args (@t29 @t37 true))
121.97/122.28	(step @p262 :rule nary_cong :premises (@p261 @p247) :args ((or (not @t38) @t35)))
121.97/122.28	(step @p263 :rule trans :premises (@p262 @p260))
121.97/122.28	(step @p264 :rule bool-impl-elim :args (@t38 @t35))
121.97/122.28	(step @p265 :rule trans :premises (@p264 @p263))
121.97/122.28	(step @p266 :rule cong :premises (@p265) :args (@t40))
121.97/122.28	(step @p267 :rule trans :premises (@p266 @p259))
121.97/122.28	(step @p268 :rule nary_cong :premises (@p267 @p245) :args (@t41))
121.97/122.28	(step @p269 :rule cong :premises (@p268 @p219) :args (@t42))
121.97/122.28	(step @p270 :rule cong :premises (@p269) :args (@t43))
121.97/122.28	(step @p271 :rule trans :premises (@p270 @p218))
121.97/122.28	(step @p272 :rule refl :args (@t198))
121.97/122.28	(step @p273 :rule nary_cong :premises (@p272 @p208 @p145) :args (@t289))
121.97/122.28	(step @p274 :rule cong :premises (@p273) :args ((forall @t24 @t289)))
121.97/122.28	(step @p275 :rule aci_norm :args ((= (or (or @t198 @t196) @t10) @t289)))
121.97/122.28	(step @p276 :rule bool-and-de-morgan :args (@t197 @t195 true))
121.97/122.28	(step @p277 :rule nary_cong :premises (@p276 @p142) :args ((or (not @t290) @t10)))
121.97/122.28	(step @p278 :rule trans :premises (@p277 @p275))
121.97/122.28	(step @p279 :rule bool-impl-elim :args (@t290 @t10))
121.97/122.28	(step @p280 :rule trans :premises (@p279 @p278))
121.97/122.28	(step @p281 :rule cong :premises (@p280) :args ((forall @t24 (=> @t290 @t10))))
121.97/122.28	(step @p282 :rule trans :premises (@p281 @p274))
121.97/122.28	(step @p283 :rule nary_cong :premises (@p230 @p224) :args (@t291))
121.97/122.28	(step @p284 :rule cong :premises (@p283) :args ((forall @t33 @t291)))
121.97/122.28	(step @p285 :rule bool-impl-elim :args (@t30 @t29))
121.97/122.28	(step @p286 :rule cong :premises (@p285) :args (@t44))
121.97/122.28	(step @p287 :rule trans :premises (@p286 @p284))
121.97/122.28	(step @p288 :rule nary_cong :premises (@p287 @p267) :args (@t45))
121.97/122.28	(step @p289 :rule cong :premises (@p288 @p219) :args (@t46))
121.97/122.28	(step @p290 :rule cong :premises (@p289) :args (@t47))
121.97/122.28	(step @p291 :rule trans :premises (@p290 @p282))
121.97/122.28	(step @p292 :rule refl :args (@t200))
121.97/122.28	(step @p293 :rule nary_cong :premises (@p208 @p292 @p145) :args (@t292))
121.97/122.28	(step @p294 :rule cong :premises (@p293) :args ((forall @t24 @t292)))
121.97/122.28	(step @p295 :rule aci_norm :args ((= (or (or @t196 @t200) @t10) @t292)))
121.97/122.28	(step @p296 :rule bool-and-de-morgan :args (@t195 @t199 true))
121.97/122.28	(step @p297 :rule nary_cong :premises (@p296 @p142) :args ((or (not @t293) @t10)))
121.97/122.28	(step @p298 :rule trans :premises (@p297 @p295))
121.97/122.28	(step @p299 :rule bool-impl-elim :args (@t293 @t10))
121.97/122.28	(step @p300 :rule trans :premises (@p299 @p298))
121.97/122.28	(step @p301 :rule cong :premises (@p300) :args ((forall @t24 (=> @t293 @t10))))
121.97/122.28	(step @p302 :rule trans :premises (@p301 @p294))
121.97/122.28	(step @p303 :rule nary_cong :premises (@p236 @p224) :args (@t294))
121.97/122.28	(step @p304 :rule cong :premises (@p303) :args ((forall @t33 @t294)))
121.97/122.28	(step @p305 :rule bool-impl-elim :args (@t31 @t29))
121.97/122.28	(step @p306 :rule cong :premises (@p305) :args (@t48))
121.97/122.28	(step @p307 :rule trans :premises (@p306 @p304))
121.97/122.28	(step @p308 :rule nary_cong :premises (@p267 @p307) :args (@t49))
121.97/122.28	(step @p309 :rule cong :premises (@p308 @p219) :args (@t50))
121.97/122.28	(step @p310 :rule cong :premises (@p309) :args (@t51))
121.97/122.28	(step @p311 :rule trans :premises (@p310 @p302))
121.97/122.28	(step @p312 :rule nary_cong :premises (@p311 @p291) :args (@t52))
121.97/122.28	(step @p313 :rule cong :premises (@p312 @p271) :args (@t53))
121.97/122.28	(step @p314 :rule cong :premises (@p313) :args (@t54))
121.97/122.28	(step @p315 :rule trans :premises (@p314 @p206))
121.97/122.28	(step @p316 :rule aci_norm :args ((= @t296 @t260)))
121.97/122.28	(step @p317 :rule cong :premises (@p316) :args (@t297))
121.97/122.28	(step @p318 :rule quant-merge-prenex :args ((= (forall @t13 @t299) @t297)))
121.97/122.28	(step @p319 :rule alpha_equiv :args (@t300 (@list @t235) @t229))
121.97/122.28	(step @p320 :rule refl :args (@t257))
121.97/122.28	(step @p321 :rule refl :args (@t259))
121.97/122.28	(step @p322 :rule nary_cong :premises (@p321 @p320 @p319) :args (@t301))
121.97/122.28	(step @p323 :rule quant-miniscope-or :args ((= @t299 @t301)))
121.97/122.28	(step @p324 :rule trans :premises (@p323 @p322))
121.97/122.28	(step @p325 :rule symm :premises (@p324))
121.97/122.28	(step @p326 :rule cong :premises (@p325) :args ((forall @t13 @t305)))
121.97/122.28	(step @p327 :rule trans :premises (@p326 @p318))
121.97/122.28	(step @p328 :rule trans :premises (@p327 @p317))
121.97/122.28	(step @p329 :rule aci_norm :args ((= (or (or @t259 @t257) @t304) @t305)))
121.97/122.28	(step @p330 :rule refl :args (@t304))
121.97/122.28	(step @p331 :rule bool-and-de-morgan :args (@t258 @t256 true))
121.97/122.28	(step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or (not @t306) @t304)))
121.97/122.28	(step @p333 :rule trans :premises (@p332 @p329))
121.97/122.28	(step @p334 :rule bool-impl-elim :args (@t306 @t304))
121.97/122.28	(step @p335 :rule trans :premises (@p334 @p333))
121.97/122.28	(step @p336 :rule cong :premises (@p335) :args ((forall @t13 (=> @t306 @t304))))
121.97/122.28	(step @p337 :rule trans :premises (@p336 @p328))
121.97/122.28	(step @p338 :rule refl :args (@t303))
121.97/122.28	(step @p339 :rule nary_cong :premises (@p207 @p338 @p140) :args (@t307))
121.97/122.28	(step @p340 :rule cong :premises (@p339) :args ((forall @t24 @t307)))
121.97/122.28	(step @p341 :rule aci_norm :args ((= (or (or @t210 @t303) @t8) @t307)))
121.97/122.28	(step @p342 :rule bool-and-de-morgan :args (@t209 @t302 true))
121.97/122.28	(step @p343 :rule nary_cong :premises (@p342 @p137) :args ((or (not @t308) @t8)))
121.97/122.28	(step @p344 :rule trans :premises (@p343 @p341))
121.97/122.28	(step @p345 :rule bool-impl-elim :args (@t308 @t8))
121.97/122.28	(step @p346 :rule trans :premises (@p345 @p344))
121.97/122.28	(step @p347 :rule cong :premises (@p346) :args ((forall @t24 (=> @t308 @t8))))
121.97/122.28	(step @p348 :rule trans :premises (@p347 @p340))
121.97/122.28	(step @p349 :rule refl :args (@t8))
121.97/122.28	(step @p350 :rule refl :args (@t204))
121.97/122.28	(step @p351 :rule refl :args (@t56))
121.97/122.28	(step @p352 :rule cong :premises (@p351 @p350) :args ((= @t56 @t204)))
121.97/122.28	(step @p353 :rule symm :premises (@p352))
121.97/122.28	(step @p354 :rule eq_resolve :premises (@p351 @p353))
121.97/122.28	(step @p355 :rule refl :args (@t205))
121.97/122.28	(step @p356 :rule refl :args (@t57))
121.97/122.28	(step @p357 :rule cong :premises (@p356 @p355) :args ((= @t57 @t205)))
121.97/122.28	(step @p358 :rule symm :premises (@p357))
121.97/122.28	(step @p359 :rule eq_resolve :premises (@p356 @p358))
121.97/122.28	(step @p360 :rule cong :premises (@p359) :args (@t309))
121.97/122.28	(step @p361 :rule nary_cong :premises (@p360 @p257 @p354) :args (@t310))
121.97/122.28	(step @p362 :rule cong :premises (@p361) :args ((forall @t59 @t310)))
121.97/122.28	(step @p363 :rule aci_norm :args ((= (or (or @t309 @t287) @t56) @t310)))
121.97/122.28	(step @p364 :rule bool-and-de-morgan :args (@t57 @t29 true))
121.97/122.28	(step @p365 :rule nary_cong :premises (@p364 @p351) :args ((or (not @t58) @t56)))
121.97/122.28	(step @p366 :rule trans :premises (@p365 @p363))
121.97/122.28	(step @p367 :rule bool-impl-elim :args (@t58 @t56))
121.97/122.28	(step @p368 :rule trans :premises (@p367 @p366))
121.97/122.28	(step @p369 :rule cong :premises (@p368) :args (@t60))
121.97/122.28	(step @p370 :rule trans :premises (@p369 @p362))
121.97/122.28	(step @p371 :rule nary_cong :premises (@p245 @p370) :args (@t61))
121.97/122.28	(step @p372 :rule cong :premises (@p371 @p349) :args (@t62))
121.97/122.28	(step @p373 :rule cong :premises (@p372) :args (@t63))
121.97/122.28	(step @p374 :rule trans :premises (@p373 @p348))
121.97/122.28	(step @p375 :rule refl :args (@t208))
121.97/122.28	(step @p376 :rule nary_cong :premises (@p207 @p375 @p145) :args (@t311))
121.97/122.28	(step @p377 :rule cong :premises (@p376) :args ((forall @t24 @t311)))
121.97/122.28	(step @p378 :rule aci_norm :args ((= (or (or @t210 @t208) @t10) @t311)))
121.97/122.28	(step @p379 :rule bool-and-de-morgan :args (@t209 @t207 true))
121.97/122.28	(step @p380 :rule nary_cong :premises (@p379 @p142) :args ((or (not @t312) @t10)))
121.97/122.28	(step @p381 :rule trans :premises (@p380 @p378))
121.97/122.28	(step @p382 :rule bool-impl-elim :args (@t312 @t10))
121.97/122.28	(step @p383 :rule trans :premises (@p382 @p381))
121.97/122.28	(step @p384 :rule cong :premises (@p383) :args ((forall @t24 (=> @t312 @t10))))
121.97/122.28	(step @p385 :rule trans :premises (@p384 @p377))
121.97/122.28	(step @p386 :rule nary_cong :premises (@p257 @p360 @p354) :args (@t313))
121.97/122.28	(step @p387 :rule cong :premises (@p386) :args ((forall @t59 @t313)))
121.97/122.28	(step @p388 :rule aci_norm :args ((= (or (or @t287 @t309) @t56) @t313)))
121.97/122.28	(step @p389 :rule bool-and-de-morgan :args (@t29 @t57 true))
121.97/122.28	(step @p390 :rule nary_cong :premises (@p389 @p351) :args ((or (not @t64) @t56)))
121.97/122.28	(step @p391 :rule trans :premises (@p390 @p388))
121.97/122.28	(step @p392 :rule bool-impl-elim :args (@t64 @t56))
121.97/122.28	(step @p393 :rule trans :premises (@p392 @p391))
121.97/122.28	(step @p394 :rule cong :premises (@p393) :args (@t65))
121.97/122.28	(step @p395 :rule trans :premises (@p394 @p387))
121.97/122.28	(step @p396 :rule nary_cong :premises (@p245 @p395) :args (@t66))
121.97/122.28	(step @p397 :rule cong :premises (@p396 @p219) :args (@t67))
121.97/122.28	(step @p398 :rule cong :premises (@p397) :args (@t68))
121.97/122.28	(step @p399 :rule trans :premises (@p398 @p385))
121.97/122.28	(step @p400 :rule nary_cong :premises (@p375 @p207 @p151) :args (@t314))
121.97/122.28	(step @p401 :rule cong :premises (@p400) :args ((forall @t24 @t314)))
121.97/122.28	(step @p402 :rule aci_norm :args ((= (or (or @t208 @t210) @t11) @t314)))
121.97/122.28	(step @p403 :rule bool-and-de-morgan :args (@t207 @t209 true))
121.97/122.28	(step @p404 :rule nary_cong :premises (@p403 @p148) :args ((or (not @t315) @t11)))
121.97/122.28	(step @p405 :rule trans :premises (@p404 @p402))
121.97/122.28	(step @p406 :rule bool-impl-elim :args (@t315 @t11))
121.97/122.28	(step @p407 :rule trans :premises (@p406 @p405))
121.97/122.28	(step @p408 :rule cong :premises (@p407) :args ((forall @t24 (=> @t315 @t11))))
121.97/122.28	(step @p409 :rule trans :premises (@p408 @p401))
121.97/122.28	(step @p410 :rule refl :args (@t11))
121.97/122.28	(step @p411 :rule nary_cong :premises (@p395 @p245) :args (@t69))
121.97/122.28	(step @p412 :rule cong :premises (@p411 @p410) :args (@t70))
121.97/122.28	(step @p413 :rule cong :premises (@p412) :args (@t71))
121.97/122.28	(step @p414 :rule trans :premises (@p413 @p409))
121.97/122.28	(step @p415 :rule nary_cong :premises (@p414 @p399) :args (@t72))
121.97/122.28	(step @p416 :rule cong :premises (@p415 @p374) :args (@t73))
121.97/122.28	(step @p417 :rule cong :premises (@p416) :args (@t74))
121.97/122.28	(step @p418 :rule trans :premises (@p417 @p337))
121.97/122.28	(step @p419 :rule refl :args (@t215))
121.97/122.28	(step @p420 :rule nary_cong :premises (@p123 @p419 @p122) :args (@t316))
121.97/122.28	(step @p421 :rule cong :premises (@p420) :args ((forall @t24 @t316)))
121.97/122.28	(step @p422 :rule aci_norm :args ((= (or (or @t219 @t215) @t4) @t316)))
121.97/122.28	(step @p423 :rule bool-and-de-morgan :args (@t218 @t214 true))
121.97/122.29	(step @p424 :rule nary_cong :premises (@p423 @p119) :args ((or (not @t317) @t4)))
121.97/122.29	(step @p425 :rule trans :premises (@p424 @p422))
121.97/122.29	(step @p426 :rule bool-impl-elim :args (@t317 @t4))
121.97/122.29	(step @p427 :rule trans :premises (@p426 @p425))
121.97/122.29	(step @p428 :rule cong :premises (@p427) :args ((forall @t24 (=> @t317 @t4))))
121.97/122.29	(step @p429 :rule trans :premises (@p428 @p421))
121.97/122.29	(step @p430 :rule nary_cong :premises (@p168 @p174) :args (@t318))
121.97/122.29	(step @p431 :rule nary_cong :premises (@p430 @p145) :args (@t319))
121.97/122.29	(step @p432 :rule cong :premises (@p431) :args ((forall @t20 @t319)))
121.97/122.29	(step @p433 :rule bool-or-de-morgan :args (@t16 @t18 false))
121.97/122.29	(step @p434 :rule nary_cong :premises (@p433 @p142) :args ((or (not @t75) @t10)))
121.97/122.29	(step @p435 :rule bool-impl-elim :args (@t75 @t10))
121.97/122.29	(step @p436 :rule trans :premises (@p435 @p434))
121.97/122.29	(step @p437 :rule cong :premises (@p436) :args (@t76))
121.97/122.29	(step @p438 :rule trans :premises (@p437 @p432))
121.97/122.29	(step @p439 :rule nary_cong :premises (@p162 @p438) :args (@t77))
121.97/122.29	(step @p440 :rule cong :premises (@p439 @p135) :args (@t78))
121.97/122.29	(step @p441 :rule cong :premises (@p440) :args (@t79))
121.97/122.29	(step @p442 :rule trans :premises (@p441 @p429))
121.97/122.29	(step @p443 :rule cong :premises (@p442) :args (@t80))
121.97/122.29	(step @p444 :rule nary_cong :premises (@p443 @p418 @p315) :args (@t81))
121.97/122.29	(step @p445 :rule nary_cong :premises (@p444 @p187) :args (@t82))
121.97/122.29	(step @p446 :rule cong :premises (@p445) :args (@t84))
121.97/122.29	(step @p447 :rule trans :premises (@p446 @p117))
121.97/122.29	(step @p448 :rule cong :premises (@p447) :args (@t85))
121.97/122.29	(step @p449 :rule trans :premises (@p448 @p96))
121.97/122.29	(step @p450 :rule eq_resolve :premises (@p1 @p449))
121.97/122.29	(step @p451 :rule skolemize :premises (@p450))
121.97/122.29	(step @p452 :rule cnf_or_neg :args (@t359 0))
121.97/122.29	(step @p453 :rule chain_resolution :premises (@p452 @p451) :args (@t360 @t361))
121.97/122.29	(step @p454 :rule bool-double-not-elim :args (@t331))
121.97/122.29	(step @p455 :rule refl :args (@t359))
121.97/122.29	(step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t359 (not @t332))))
121.97/122.29	(step @p457 :rule cnf_or_neg :args (@t359 1))
121.97/122.29	(step @p458 :rule eq_resolve :premises (@p457 @p456))
121.97/122.29	(step @p459 :rule reordering :premises (@p458) :args ((or @t331 @t359)))
121.97/122.29	(step @p460 :rule chain_resolution :premises (@p459 @p451) :args (@t360 @t361))
121.97/122.29	(step @p461 :rule refl :args (@t325))
121.97/122.29	(step @p462 :rule aci_norm :args ((= @t355 @t330)))
121.97/122.29	(step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t362))
121.97/122.29	(step @p464 :rule cong :premises (@p463) :args (@t363))
121.97/122.29	(step @p465 :rule true_intro :premises (@p464))
121.97/122.29	(step @p466 :rule eq-symm :args (@t331 @t363))
121.97/122.29	(step @p467 :rule trans :premises (@p466 @p465))
121.97/122.29	(step @p468 :rule true_elim :premises (@p467))
121.97/122.29	(step @p469 :rule equiv_elim1 :premises (@p468))
121.97/122.29	(step @p470 :rule chain_resolution :premises (@p469 @p460) :args (@t364 (@list @t331)))
121.97/122.29	(step @p471 :rule cnf_or_neg :args (@t359 3))
121.97/122.29	(step @p472 :rule chain_resolution :premises (@p471 @p451) :args (@t360 @t361))
121.97/122.29	(step @p473 :rule bool-double-not-elim :args (@t326))
121.97/122.29	(step @p474 :rule nary_cong :premises (@p455 @p473) :args ((or @t359 (not @t327))))
121.97/122.29	(step @p475 :rule cnf_or_neg :args (@t359 2))
121.97/122.29	(step @p476 :rule eq_resolve :premises (@p475 @p474))
121.97/122.29	(step @p477 :rule reordering :premises (@p476) :args ((or @t326 @t359)))
121.97/122.29	(step @p478 :rule chain_resolution :premises (@p477 @p451) :args (@t360 @t361))
121.97/122.29	(step @p479 :rule cnf_or_pos :args (@t366))
121.97/122.29	(step @p480 :rule reordering :premises (@p479) :args ((or @t327 @t323 @t365 (not @t366))))
121.97/122.29	(step @p481 :rule chain_resolution :premises (@p480 @p478 @p472 @p470) :args (@t172 (@list @t326 @t323 @t363)))
121.97/122.29	(assume-push @p571 @t356)
121.97/122.29	(step @p483 :rule instantiate :premises (@p571) :args ((@list @t322)))
121.97/122.29	(step-pop @p571 :rule scope :premises (@p483))
121.97/122.29	(step @p484 :rule process_scope :premises (@p571) :args (@t366))
121.97/122.29	(step @p486 :rule implies_elim :premises (@p484))
121.97/122.29	(step @p487 :rule chain_resolution :premises (@p486 @p481) :args (@t360 (@list @t366)))
121.97/122.29	(step @p488 :rule refl :args (@t367))
121.97/122.29	(step @p489 :rule refl :args (@t368))
121.97/122.29	(step @p490 :rule bool-double-not-elim :args (@t356))
121.97/122.29	(step @p491 :rule refl :args (@t358))
121.97/122.29	(step @p492 :rule nary_cong :premises (@p491 @p490 @p489 @p488) :args ((or @t358 (not @t357) @t368 @t367)))
121.97/122.29	(step @p493 :rule cnf_and_neg :args (@t358))
121.97/122.29	(step @p494 :rule eq_resolve :premises (@p493 @p492))
121.97/122.29	(step @p495 :rule reordering :premises (@p494) :args ((or @t356 @t358 @t368 @t367)))
121.97/122.29	(step @p496 :rule chain_resolution :premises (@p495 @p487 @p453 @p95) :args (@t155 (@list @t356 @t358 @t144)))
121.97/122.29	(step @p497 :rule cnf_or_neg :args (@t354 4))
121.97/122.29	(step @p498 :rule chain_resolution :premises (@p497 @p496) :args (@t360 @t369))
121.97/122.29	(step @p499 :rule bool-double-not-elim :args (@t344))
121.97/122.29	(step @p500 :rule refl :args (@t354))
121.97/122.29	(step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or @t354 (not @t345))))
121.97/122.29	(step @p502 :rule cnf_or_neg :args (@t354 3))
121.97/122.29	(step @p503 :rule eq_resolve :premises (@p502 @p501))
121.97/122.29	(step @p504 :rule reordering :premises (@p503) :args ((or @t344 @t354)))
121.97/122.29	(step @p505 :rule chain_resolution :premises (@p504 @p496) :args (@t360 @t369))
121.97/122.29	(assume-push @p573 @t344)
121.97/122.29	(step @p507 :rule instantiate :premises (@p573) :args ((@list @t334 @t348 @t333)))
121.97/122.29	(step-pop @p573 :rule scope :premises (@p507))
121.97/122.29	(step @p508 :rule process_scope :premises (@p573) :args (@t374))
121.97/122.29	(step @p510 :rule implies_elim :premises (@p508))
121.97/122.29	(step @p511 :rule chain_resolution :premises (@p510 @p505) :args (@t364 @t375))
121.97/122.29	(step @p512 :rule bool-double-not-elim :args (@t350))
121.97/122.29	(step @p513 :rule nary_cong :premises (@p500 @p512) :args ((or @t354 (not @t351))))
121.97/122.29	(step @p514 :rule cnf_or_neg :args (@t354 1))
121.97/122.29	(step @p515 :rule eq_resolve :premises (@p514 @p513))
121.97/122.29	(step @p516 :rule reordering :premises (@p515) :args ((or @t350 @t354)))
121.97/122.29	(step @p517 :rule chain_resolution :premises (@p516 @p496) :args (@t360 @t369))
121.97/122.29	(assume-push @p575 @t350)
121.97/122.29	(step @p519 :rule instantiate :premises (@p575) :args (@t376))
121.97/122.29	(step-pop @p575 :rule scope :premises (@p519))
121.97/122.29	(step @p520 :rule process_scope :premises (@p575) :args (@t380))
121.97/122.29	(step @p522 :rule implies_elim :premises (@p520))
121.97/122.29	(step @p523 :rule chain_resolution :premises (@p522 @p517) :args (@t364 (@list @t350)))
121.97/122.29	(step @p524 :rule aci_norm :args ((= @t377 @t343)))
121.97/122.29	(step @p525 :rule cong :premises (@p524) :args (@t378))
121.97/122.29	(step @p526 :rule true_intro :premises (@p525))
121.97/122.29	(step @p527 :rule eq-symm :args (@t344 @t378))
121.97/122.29	(step @p528 :rule trans :premises (@p527 @p526))
121.97/122.29	(step @p529 :rule true_elim :premises (@p528))
121.97/122.29	(step @p530 :rule equiv_elim1 :premises (@p529))
121.97/122.29	(step @p531 :rule chain_resolution :premises (@p530 @p505) :args (@t364 @t375))
121.97/122.29	(step @p532 :rule bool-double-not-elim :args (@t346))
121.97/122.29	(step @p533 :rule nary_cong :premises (@p500 @p532) :args ((or @t354 (not @t347))))
121.97/122.29	(step @p534 :rule cnf_or_neg :args (@t354 2))
121.97/122.29	(step @p535 :rule eq_resolve :premises (@p534 @p533))
121.97/122.29	(step @p536 :rule reordering :premises (@p535) :args ((or @t346 @t354)))
121.97/122.29	(step @p537 :rule chain_resolution :premises (@p536 @p496) :args (@t360 @t369))
121.97/122.29	(step @p538 :rule cnf_or_pos :args (@t380))
121.97/122.29	(step @p539 :rule reordering :premises (@p538) :args ((or @t347 @t379 @t370 (not @t380))))
121.97/122.29	(step @p540 :rule chain_resolution :premises (@p539 @p537 @p531 @p523) :args (@t381 (@list @t346 @t378 @t380)))
121.97/122.29	(step @p541 :rule bool-double-not-elim :args (@t352))
121.97/122.29	(step @p542 :rule nary_cong :premises (@p500 @p541) :args ((or @t354 (not @t353))))
121.97/122.29	(step @p543 :rule cnf_or_neg :args (@t354 0))
121.97/122.29	(step @p544 :rule eq_resolve :premises (@p543 @p542))
121.97/122.29	(step @p545 :rule reordering :premises (@p544) :args ((or @t352 @t354)))
121.97/122.29	(step @p546 :rule chain_resolution :premises (@p545 @p496) :args (@t360 @t369))
121.97/122.29	(assume-push @p577 @t352)
121.97/122.29	(step @p548 :rule instantiate :premises (@p577) :args (@t376))
121.97/122.29	(step-pop @p577 :rule scope :premises (@p548))
121.97/122.29	(step @p549 :rule process_scope :premises (@p577) :args (@t382))
121.97/122.29	(step @p551 :rule implies_elim :premises (@p549))
121.97/122.29	(step @p552 :rule chain_resolution :premises (@p551 @p546) :args (@t364 (@list @t352)))
121.97/122.29	(step @p553 :rule cnf_or_pos :args (@t382))
121.97/122.29	(step @p554 :rule reordering :premises (@p553) :args ((or @t347 @t379 @t372 (not @t382))))
121.97/122.29	(step @p555 :rule chain_resolution :premises (@p554 @p537 @p531 @p552) :args (@t381 (@list @t346 @t378 @t382)))
121.97/122.29	(step @p556 :rule cnf_or_pos :args (@t374))
121.97/122.29	(step @p557 :rule reordering :premises (@p556) :args ((or @t337 @t371 @t373 (not @t374))))
121.97/122.29	(step @p558 false :rule chain_resolution :premises (@p557 @p555 @p540 @p511 @p498) :args ((@list false false false true) (@list @t372 @t370 @t374 @t337)))
121.97/122.29	)
121.97/122.29	% SZS output end Proof
121.97/122.29	% cvc5 exiting
121.97/122.29	EOF