0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.33 % Computer : n029.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Fri Sep 5 18:51:22 EDT 2025 0.13/0.33 % CPUTime : 0.18/0.48 %----Proving TH0 16.83/17.09 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 16.83/17.09 % SZS status Theorem 16.83/17.09 % SZS output start Proof 16.83/17.09 ( 16.83/17.09 (declare-type tptp.a ()) 16.83/17.09 (define @t1 () (@var "Xy" tptp.a)) 16.83/17.09 (define @t2 () (@var "U" tptp.a)) 16.83/17.09 (define @t3 () (@list @t1)) 16.83/17.09 (define @t4 () (@var "Xx" (-> tptp.a Bool))) 16.83/17.09 (define @t5 () (= @t4 (lambda @t3 (= @t2 @t1)))) 16.83/17.09 (define @t6 () (@var "V" tptp.a)) 16.83/17.09 (define @t7 () (@var "W" tptp.a)) 16.83/17.09 (define @t8 () (or (= @t7 @t2) (= @t7 @t6))) 16.83/17.09 (define @t9 () (_ @t4 @t7)) 16.83/17.09 (define @t10 () (= @t9 @t8)) 16.83/17.09 (define @t11 () (@list @t7)) 16.83/17.09 (define @t12 () (forall @t11 @t10)) 16.83/17.09 (define @t13 () (or @t12 @t5)) 16.83/17.09 (define @t14 () (@var "X" tptp.a)) 16.83/17.09 (define @t15 () (= @t4 (lambda @t3 (= @t14 @t1)))) 16.83/17.09 (define @t16 () (@var "Y" tptp.a)) 16.83/17.09 (define @t17 () (or (= @t7 @t16) (= @t7 @t14))) 16.83/17.09 (define @t18 () (= @t9 @t17)) 16.83/17.09 (define @t19 () (forall @t11 @t18)) 16.83/17.09 (define @t20 () (or @t19 @t15)) 16.83/17.09 (define @t21 () (= @t20 @t13)) 16.83/17.09 (define @t22 () (@list @t4)) 16.83/17.09 (define @t23 () (forall @t22 @t21)) 16.83/17.09 (define @t24 () (and (= @t16 @t6) (= @t14 @t2))) 16.83/17.09 (define @t25 () (= @t24 @t23)) 16.83/17.09 (define @t26 () (@list @t14 @t16 @t2 @t6)) 16.83/17.09 (define @t27 () (forall @t26 @t25)) 16.83/17.09 (define @t28 () (not @t27)) 16.83/17.09 (define @t29 () (@var "BOUND_VARIABLE_15325" tptp.a)) 16.83/17.09 (define @t30 () (or (= @t2 @t7) (= @t6 @t7))) 16.83/17.09 (define @t31 () (_ @t4 @t7)) 16.83/17.09 (define @t32 () (or (= @t16 @t7) (= @t14 @t7))) 16.83/17.09 (define @t33 () (forall @t26 (= @t24 (forall @t22 (= (or (forall @t11 (= @t32 @t31)) @t15) (or (forall @t11 (= @t31 @t30)) @t5)))))) 16.83/17.09 (define @t34 () (@quantifiers_skolemize @t33 0)) 16.83/17.09 (define @t35 () (= @t34 @t29)) 16.83/17.09 (define @t36 () (@list @t29)) 16.83/17.09 (define @t37 () (lambda @t36 @t35)) 16.83/17.09 (define @t38 () (@purify @t37)) 16.83/17.09 (define @t39 () (= @t1 @t34)) 16.83/17.09 (define @t40 () (lambda @t3 @t39)) 16.83/17.09 (define @t41 () (@purify @t40)) 16.83/17.09 (define @t42 () (= @t41 @t38)) 16.83/17.09 (define @t43 () (@const 0 tptp.a)) 16.83/17.09 (define @t44 () (= @t34 @t43)) 16.83/17.09 (define @t45 () (_ @t37 @t43)) 16.83/17.09 (define @t46 () (_ @t38 @t43)) 16.83/17.09 (define @t47 () (_ @t40 @t43)) 16.83/17.09 (define @t48 () (_ @t41 @t43)) 16.83/17.09 (define @t49 () (= @t48 @t46)) 16.83/17.09 (define @t50 () (not @t49)) 16.83/17.09 (define @t51 () (or @t42 @t50)) 16.83/17.09 (define @t52 () (@quantifiers_skolemize @t33 2)) 16.83/17.09 (define @t53 () (= @t34 @t52)) 16.83/17.09 (define @t54 () (@quantifiers_skolemize @t33 3)) 16.83/17.09 (define @t55 () (@quantifiers_skolemize @t33 1)) 16.83/17.09 (define @t56 () (= @t55 @t54)) 16.83/17.09 (define @t57 () (and @t56 @t53)) 16.83/17.09 (define @t58 () (not @t57)) 16.83/17.09 (define @t59 () (= @t52 @t54)) 16.83/17.09 (define @t60 () (= @t52 @t52)) 16.83/17.09 (define @t61 () (or @t60 @t59)) 16.83/17.09 (define @t62 () (= @t52 @t34)) 16.83/17.09 (define @t63 () (= @t62 @t61)) 16.83/17.09 (define @t64 () (= @t7 @t54)) 16.83/17.09 (define @t65 () (or (= @t7 @t52) @t64)) 16.83/17.09 (define @t66 () (= @t7 @t34)) 16.83/17.09 (define @t67 () (forall @t11 (= @t66 @t65))) 16.83/17.09 (define @t68 () (@list @t52)) 16.83/17.09 (define @t69 () (not @t67)) 16.83/17.09 (define @t70 () (= @t9 @t30)) 16.83/17.09 (define @t71 () (= @t9 @t32)) 16.83/17.09 (define @t72 () (= @t1 @t52)) 16.83/17.09 (define @t73 () (lambda @t3 @t72)) 16.83/17.09 (define @t74 () (= @t7 @t55)) 16.83/17.09 (define @t75 () (or @t74 @t66)) 16.83/17.09 (define @t76 () (forall @t22 (= (or (forall @t11 (= @t31 @t75)) (= @t4 @t40)) (or (forall @t11 (= @t31 @t65)) (= @t4 @t73))))) 16.83/17.09 (define @t77 () (= @t57 @t76)) 16.83/17.09 (define @t78 () (not @t77)) 16.83/17.09 (define @t79 () (not @t33)) 16.83/17.09 (define @t80 () (lambda @t3 (= @t52 @t1))) 16.83/17.09 (define @t81 () (= @t4 @t80)) 16.83/17.09 (define @t82 () (= @t54 @t7)) 16.83/17.09 (define @t83 () (or (= @t52 @t7) @t82)) 16.83/17.09 (define @t84 () (= @t31 @t83)) 16.83/17.09 (define @t85 () (forall @t11 @t84)) 16.83/17.09 (define @t86 () (or @t85 @t81)) 16.83/17.09 (define @t87 () (lambda @t3 (= @t34 @t1))) 16.83/17.09 (define @t88 () (= @t4 @t87)) 16.83/17.09 (define @t89 () (= @t55 @t7)) 16.83/17.09 (define @t90 () (or @t89 (= @t34 @t7))) 16.83/17.09 (define @t91 () (forall @t11 (= @t90 @t31))) 16.83/17.09 (define @t92 () (or @t91 @t88)) 16.83/17.09 (define @t93 () (= @t92 @t86)) 16.83/17.09 (define @t94 () (forall @t22 @t93)) 16.83/17.09 (define @t95 () (= @t57 @t94)) 16.83/17.09 (define @t96 () (not @t95)) 16.83/17.09 (define @t97 () (@list true)) 16.83/17.09 (define @t98 () (forall @t11 (= @t66 @t75))) 16.83/17.09 (define @t99 () (or @t98 @t42)) 16.83/17.09 (define @t100 () (@purify @t73)) 16.83/17.09 (define @t101 () (= @t100 @t38)) 16.83/17.09 (define @t102 () (or @t67 @t101)) 16.83/17.09 (define @t103 () (= @t73 @t37)) 16.83/17.09 (define @t104 () (or @t67 @t103)) 16.83/17.09 (define @t105 () (= @t40 @t37)) 16.83/17.09 (define @t106 () (or @t98 @t105)) 16.83/17.09 (define @t107 () (= @t106 @t104)) 16.83/17.09 (define @t108 () (lambda @t36 (= @t29 @t34))) 16.83/17.09 (define @t109 () (= @t108 @t73)) 16.83/17.09 (define @t110 () (_ @t108 @t7)) 16.83/17.09 (define @t111 () (forall @t11 (= @t110 @t65))) 16.83/17.09 (define @t112 () (or @t111 @t109)) 16.83/17.09 (define @t113 () (= @t108 @t40)) 16.83/17.09 (define @t114 () (forall @t11 (= @t110 @t75))) 16.83/17.09 (define @t115 () (or @t114 @t113)) 16.83/17.09 (define @t116 () (= @t115 @t112)) 16.83/17.09 (define @t117 () (@list false)) 16.83/17.09 (define @t118 () (= @t102 @t99)) 16.83/17.09 (define @t119 () (= @t62 @t60)) 16.83/17.09 (define @t120 () (forall @t3 (= @t39 @t72))) 16.83/17.09 (define @t121 () (forall @t3 (= @t72 @t39))) 16.83/17.09 (define @t122 () (= @t100 @t41)) 16.83/17.09 (define @t123 () (=> @t122 @t121)) 16.83/17.09 (define @t124 () (not @t42)) 16.83/17.09 (define @t125 () (not @t101)) 16.83/17.09 (define @t126 () (not @t122)) 16.83/17.09 (define @t127 () (@quantifiers_skolemize @t76 0)) 16.83/17.09 (define @t128 () (= @t127 @t41)) 16.83/17.09 (define @t129 () (_ @t127 @t7)) 16.83/17.09 (define @t130 () (forall @t11 (= @t75 @t129))) 16.83/17.09 (define @t131 () (or @t130 @t128)) 16.83/17.09 (define @t132 () (= @t127 @t100)) 16.83/17.09 (define @t133 () (forall @t11 (= @t65 @t129))) 16.83/17.09 (define @t134 () (or @t133 @t132)) 16.83/17.09 (define @t135 () (= @t134 @t131)) 16.83/17.09 (define @t136 () (not @t135)) 16.83/17.09 (define @t137 () (not @t76)) 16.83/17.09 (define @t138 () (= @t73 @t127)) 16.83/17.09 (define @t139 () (or @t133 @t138)) 16.83/17.09 (define @t140 () (= @t40 @t127)) 16.83/17.09 (define @t141 () (or @t130 @t140)) 16.83/17.09 (define @t142 () (= @t141 @t139)) 16.83/17.09 (define @t143 () (not @t142)) 16.83/17.09 (define @t144 () (forall @t11 (= @t129 @t65))) 16.83/17.09 (define @t145 () (or @t144 (= @t127 @t73))) 16.83/17.09 (define @t146 () (forall @t11 (= @t129 @t75))) 16.83/17.09 (define @t147 () (or @t146 (= @t127 @t40))) 16.83/17.09 (define @t148 () (= @t147 @t145)) 16.83/17.09 (define @t149 () (not @t148)) 16.83/17.09 (define @t150 () (@quantifiers_skolemize @t130 0)) 16.83/17.09 (define @t151 () (or (= @t150 @t52) (= @t150 @t54))) 16.83/17.09 (define @t152 () (_ @t127 @t150)) 16.83/17.09 (define @t153 () (= @t151 @t152)) 16.83/17.09 (define @t154 () (= @t34 @t150)) 16.83/17.09 (define @t155 () (= @t55 @t150)) 16.83/17.09 (define @t156 () (or @t155 @t154)) 16.83/17.09 (define @t157 () (= @t152 @t156)) 16.83/17.09 (define @t158 () (not @t157)) 16.83/17.09 (define @t159 () (not @t130)) 16.83/17.09 (define @t160 () (or (= @t150 @t55) (= @t150 @t34))) 16.83/17.09 (define @t161 () (= @t160 @t152)) 16.83/17.09 (define @t162 () (not @t161)) 16.83/17.09 (define @t163 () (= @t54 @t150)) 16.83/17.09 (define @t164 () (= @t52 @t150)) 16.83/17.09 (define @t165 () (or @t164 @t163)) 16.83/17.09 (define @t166 () (= @t152 @t165)) 16.83/17.09 (define @t167 () (not @t166)) 16.83/17.09 (define @t168 () (not @t152)) 16.83/17.09 (define @t169 () (not @t163)) 16.83/17.09 (define @t170 () (not @t56)) 16.83/17.09 (define @t171 () (not @t155)) 16.83/17.09 (define @t172 () (and @t56 @t171)) 16.83/17.09 (define @t173 () (not @t164)) 16.83/17.09 (define @t174 () (not @t53)) 16.83/17.09 (define @t175 () (not @t154)) 16.83/17.09 (define @t176 () (and @t53 @t175)) 16.83/17.09 (define @t177 () (not @t165)) 16.83/17.09 (define @t178 () (and @t53 @t173)) 16.83/17.09 (define @t179 () (and @t56 @t169)) 16.83/17.09 (define @t180 () (@list true false)) 16.83/17.09 (define @t181 () (@const 1 tptp.a)) 16.83/17.09 (define @t182 () (= @t52 @t181)) 16.83/17.09 (define @t183 () (_ @t127 @t181)) 16.83/17.09 (define @t184 () (= @t183 @t182)) 16.83/17.09 (define @t185 () (= @t34 @t181)) 16.83/17.09 (define @t186 () (_ @t40 @t181)) 16.83/17.09 (define @t187 () (_ @t41 @t181)) 16.83/17.09 (define @t188 () (= @t183 @t187)) 16.83/17.09 (define @t189 () (not @t188)) 16.83/17.09 (define @t190 () (or @t128 @t189)) 16.83/17.09 (define @t191 () (= @t183 @t185)) 16.83/17.09 (define @t192 () (not @t184)) 16.83/17.09 (define @t193 () (not @t183)) 16.83/17.09 (define @t194 () (not @t182)) 16.83/17.09 (define @t195 () (not @t185)) 16.83/17.09 (define @t196 () (and @t53 @t195)) 16.83/17.09 (define @t197 () (@list false true)) 16.83/17.09 (define @t198 () (@list @t182 @t185)) 16.83/17.09 (define @t199 () (and @t53 @t185)) 16.83/17.09 (define @t200 () (@const 2 tptp.a)) 16.83/17.09 (define @t201 () (= @t52 @t200)) 16.83/17.09 (define @t202 () (_ @t73 @t200)) 16.83/17.09 (define @t203 () (_ @t100 @t200)) 16.83/17.09 (define @t204 () (_ @t127 @t200)) 16.83/17.09 (define @t205 () (= @t204 @t203)) 16.83/17.09 (define @t206 () (not @t205)) 16.83/17.09 (define @t207 () (or @t132 @t206)) 16.83/17.09 (define @t208 () (@quantifiers_skolemize @t133 0)) 16.83/17.09 (define @t209 () (= @t54 @t208)) 16.83/17.09 (define @t210 () (= @t52 @t208)) 16.83/17.09 (define @t211 () (or @t210 @t209)) 16.83/17.09 (define @t212 () (_ @t127 @t208)) 16.83/17.09 (define @t213 () (= @t212 @t211)) 16.83/17.09 (define @t214 () (not @t213)) 16.83/17.09 (define @t215 () (not @t133)) 16.83/17.09 (define @t216 () (or (= @t208 @t52) (= @t208 @t54))) 16.83/17.09 (define @t217 () (= @t216 @t212)) 16.83/17.09 (define @t218 () (not @t217)) 16.83/17.09 (define @t219 () (= @t34 @t208)) 16.83/17.09 (define @t220 () (= @t212 @t219)) 16.83/17.09 (define @t221 () (not @t220)) 16.83/17.09 (define @t222 () (not @t212)) 16.83/17.09 (define @t223 () (and @t53 @t219)) 16.83/17.09 (define @t224 () (not @t219)) 16.83/17.09 (define @t225 () (= @t55 @t208)) 16.83/17.09 (define @t226 () (or @t225 @t219)) 16.83/17.09 (define @t227 () (= @t212 @t226)) 16.83/17.09 (define @t228 () (not @t227)) 16.83/17.09 (define @t229 () (not @t226)) 16.83/17.09 (define @t230 () (not @t210)) 16.83/17.09 (define @t231 () (and @t53 @t224)) 16.83/17.09 (define @t232 () (not @t209)) 16.83/17.09 (define @t233 () (not @t225)) 16.83/17.09 (define @t234 () (and @t56 @t233)) 16.83/17.09 (define @t235 () (@list true true)) 16.83/17.09 (define @t236 () (and @t56 @t232)) 16.83/17.09 (define @t237 () (@list true true true)) 16.83/17.09 (define @t238 () (or (= @t208 @t55) (= @t208 @t34))) 16.83/17.09 (define @t239 () (= @t238 @t212)) 16.83/17.09 (define @t240 () (= @t34 @t200)) 16.83/17.09 (define @t241 () (= @t204 @t240)) 16.83/17.09 (define @t242 () (= @t204 @t201)) 16.83/17.09 (define @t243 () (not @t241)) 16.83/17.09 (define @t244 () (not @t204)) 16.83/17.09 (define @t245 () (not @t240)) 16.83/17.09 (define @t246 () (not @t201)) 16.83/17.09 (define @t247 () (and @t53 @t246)) 16.83/17.09 (define @t248 () (@list @t240 @t201)) 16.83/17.09 (define @t249 () (and @t53 @t201)) 16.83/17.09 (define @t250 () (= @t34 @t54)) 16.83/17.09 (define @t251 () (not @t250)) 16.83/17.09 (define @t252 () (= @t34 @t55)) 16.83/17.09 (define @t253 () (not @t252)) 16.83/17.09 (define @t254 () (not @t170)) 16.83/17.09 (define @t255 () (and @t170 @t252)) 16.83/17.09 (define @t256 () (= @t54 @t54)) 16.83/17.09 (define @t257 () (= @t54 @t55)) 16.83/17.09 (define @t258 () (or @t257 @t256)) 16.83/17.09 (define @t259 () (= @t54 @t34)) 16.83/17.09 (define @t260 () (= @t259 @t258)) 16.83/17.09 (define @t261 () (= @t1 @t55)) 16.83/17.09 (define @t262 () (forall @t3 (= @t39 (or @t261 (= @t1 @t54))))) 16.83/17.09 (define @t263 () (@list @t54)) 16.83/17.09 (define @t264 () (= @t54 @t29)) 16.83/17.09 (define @t265 () (= @t55 @t29)) 16.83/17.09 (define @t266 () (lambda @t36 (or @t265 @t264))) 16.83/17.09 (define @t267 () (@purify @t266)) 16.83/17.09 (define @t268 () (= @t41 @t267)) 16.83/17.09 (define @t269 () (or @t56 @t250)) 16.83/17.09 (define @t270 () (or @t257 @t259)) 16.83/17.09 (define @t271 () (= @t270 @t258)) 16.83/17.09 (define @t272 () (or @t74 @t64)) 16.83/17.09 (define @t273 () (forall @t11 (= @t75 @t272))) 16.83/17.09 (define @t274 () (or @t273 @t268)) 16.83/17.09 (define @t275 () (forall @t11 (= @t65 @t272))) 16.83/17.09 (define @t276 () (or @t275 (= @t100 @t267))) 16.83/17.09 (define @t277 () (= @t73 @t266)) 16.83/17.09 (define @t278 () (or @t275 @t277)) 16.83/17.09 (define @t279 () (= @t40 @t266)) 16.83/17.09 (define @t280 () (or @t273 @t279)) 16.83/17.09 (define @t281 () (= @t280 @t278)) 16.83/17.09 (define @t282 () (or @t89 @t82)) 16.83/17.09 (define @t283 () (_ @t266 @t7)) 16.83/17.09 (define @t284 () (forall @t11 (= @t283 @t65))) 16.83/17.09 (define @t285 () (or @t284 (= @t266 @t73))) 16.83/17.09 (define @t286 () (forall @t11 (= @t283 @t75))) 16.83/17.09 (define @t287 () (or @t286 (= @t266 @t40))) 16.83/17.09 (define @t288 () (= @t287 @t285)) 16.83/17.09 (define @t289 () (= @t276 @t274)) 16.83/17.09 (define @t290 () (@quantifiers_skolemize @t275 0)) 16.83/17.09 (define @t291 () (= @t54 @t290)) 16.83/17.09 (define @t292 () (= @t55 @t290)) 16.83/17.09 (define @t293 () (or @t292 @t291)) 16.83/17.09 (define @t294 () (= @t52 @t290)) 16.83/17.09 (define @t295 () (or @t294 @t291)) 16.83/17.09 (define @t296 () (= @t295 @t293)) 16.83/17.09 (define @t297 () (not @t296)) 16.83/17.09 (define @t298 () (not @t275)) 16.83/17.09 (define @t299 () (= @t290 @t54)) 16.83/17.09 (define @t300 () (or (= @t290 @t55) @t299)) 16.83/17.09 (define @t301 () (or (= @t290 @t52) @t299)) 16.83/17.09 (define @t302 () (= @t301 @t300)) 16.83/17.09 (define @t303 () (not @t302)) 16.83/17.09 (define @t304 () (and @t53 @t252 @t294)) 16.83/17.09 (define @t305 () (not @t294)) 16.83/17.09 (define @t306 () (@list @t250)) 16.83/17.09 (define @t307 () (@list @t56)) 16.83/17.09 (define @t308 () (@list @t76)) 16.83/17.09 (define @t309 () (not @t292)) 16.83/17.09 (define @t310 () (and @t53 @t252 @t305)) 16.83/17.09 (define @t311 () (@list false false)) 16.83/17.09 (define @t312 () (@list @t293 @t295)) 16.83/17.09 (define @t313 () (= @t55 @t34)) 16.83/17.09 (define @t314 () (or (= @t55 @t55) @t313)) 16.83/17.09 (define @t315 () (= @t313 @t314)) 16.83/17.09 (define @t316 () (@list @t55)) 16.83/17.09 (define @t317 () (forall @t3 (= @t39 (or @t261 @t39)))) 16.83/17.09 (define @t318 () (lambda @t36 (or @t265 @t35))) 16.83/17.09 (define @t319 () (@purify @t318)) 16.83/17.09 (define @t320 () (= @t41 @t319)) 16.83/17.09 (define @t321 () (not @t320)) 16.83/17.09 (define @t322 () (= @t73 @t318)) 16.83/17.09 (define @t323 () (forall @t11 (= @t75 @t65))) 16.83/17.09 (define @t324 () (or @t323 @t322)) 16.83/17.09 (define @t325 () (_ @t318 @t7)) 16.83/17.09 (define @t326 () (forall @t11 (= @t325 @t65))) 16.83/17.09 (define @t327 () (or @t326 (= @t318 @t73))) 16.83/17.09 (define @t328 () (forall @t11 (= @t325 @t75))) 16.83/17.09 (define @t329 () (or @t328 (= @t318 @t40))) 16.83/17.09 (define @t330 () (= @t329 @t327)) 16.83/17.09 (define @t331 () (or (= @t54 @t52) @t256)) 16.83/17.09 (define @t332 () (= @t270 @t331)) 16.83/17.09 (define @t333 () (= @t55 @t52)) 16.83/17.09 (define @t334 () (not @t333)) 16.83/17.09 (define @t335 () (and @t53 @t170 @t250)) 16.83/17.09 (define @t336 () (or @t333 @t56)) 16.83/17.09 (define @t337 () (= @t314 @t336)) 16.83/17.09 (define @t338 () (= @t100 @t319)) 16.83/17.09 (define @t339 () (or @t323 @t338)) 16.83/17.09 (define @t340 () (@const 3 tptp.a)) 16.83/17.09 (define @t341 () (= @t34 @t340)) 16.83/17.09 (define @t342 () (= @t54 @t340)) 16.83/17.09 (define @t343 () (= @t342 @t341)) 16.83/17.09 (define @t344 () (and @t250 @t342)) 16.83/17.09 (define @t345 () (not @t342)) 16.83/17.09 (define @t346 () (@list @t341)) 16.83/17.09 (define @t347 () (not @t341)) 16.83/17.09 (define @t348 () (and @t250 @t345)) 16.83/17.09 (define @t349 () (lambda @t36 @t264)) 16.83/17.09 (define @t350 () (_ @t349 @t340)) 16.83/17.09 (define @t351 () (@purify @t349)) 16.83/17.09 (define @t352 () (_ @t351 @t340)) 16.83/17.09 (define @t353 () (_ @t40 @t340)) 16.83/17.09 (define @t354 () (_ @t41 @t340)) 16.83/17.09 (define @t355 () (= @t354 @t352)) 16.83/17.09 (define @t356 () (not @t355)) 16.83/17.09 (define @t357 () (= @t41 @t351)) 16.83/17.09 (define @t358 () (or @t357 @t356)) 16.83/17.09 (define @t359 () (not @t338)) 16.83/17.09 (define @t360 () (not @t357)) 16.83/17.09 (define @t361 () (= @t100 @t351)) 16.83/17.09 (define @t362 () (not @t361)) 16.83/17.09 (define @t363 () (not @t321)) 16.83/17.09 (define @t364 () (= false true)) 16.83/17.09 (define @t365 () (and @t338 @t361 @t357 @t321)) 16.83/17.09 (define @t366 () (@const 4 tptp.a)) 16.83/17.09 (define @t367 () (= @t52 @t366)) 16.83/17.09 (define @t368 () (= @t54 @t366)) 16.83/17.09 (define @t369 () (_ @t349 @t366)) 16.83/17.09 (define @t370 () (_ @t351 @t366)) 16.83/17.09 (define @t371 () (_ @t73 @t366)) 16.83/17.09 (define @t372 () (_ @t100 @t366)) 16.83/17.09 (define @t373 () (= @t372 @t370)) 16.83/17.09 (define @t374 () (not @t373)) 16.83/17.09 (define @t375 () (or @t361 @t374)) 16.83/17.09 (define @t376 () (= @t368 @t367)) 16.83/17.09 (define @t377 () (and @t53 @t250 @t368)) 16.83/17.09 (define @t378 () (not @t368)) 16.83/17.09 (define @t379 () (not @t367)) 16.83/17.09 (define @t380 () (and @t53 @t250 @t378)) 16.83/17.09 (define @t381 () (= @t259 @t331)) 16.83/17.09 (define @t382 () (and @t338 @t101 @t42 @t321)) 16.83/17.09 (assume @p1 @t28) 16.83/17.09 (assume @p2 true) 16.83/17.09 (step @p3 :rule aci_norm :args ((= (or @t42 false) @t42))) 16.83/17.09 (step @p4 :rule evaluate :args ((not true))) 16.83/17.09 (step @p5 :rule eq-refl :args (@t44)) 16.83/17.09 (step @p6 :rule beta-reduce :args ((= @t45 @t44))) 16.83/17.09 (step @p7 :rule refl :args (@t44)) 16.83/17.09 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t44 @t45))) 16.83/17.09 (step @p9 :rule trans :premises (@p8 @p5)) 16.83/17.09 (step @p10 :rule eq-symm :args (@t45 @t44)) 16.83/17.09 (step @p11 :rule trans :premises (@p10 @p9)) 16.83/17.09 (step @p12 :rule refl :args (@t43)) 16.83/17.09 (step @p13 :rule skolem_intro :args (@t38)) 16.83/17.09 (step @p14 :rule ho_cong :premises (@p13 @p12)) 16.83/17.09 (step @p15 :rule cong :premises (@p14 @p7) :args ((= @t46 @t44))) 16.83/17.09 (step @p16 :rule trans :premises (@p15 @p11)) 16.83/17.09 (step @p17 :rule true_elim :premises (@p16)) 16.83/17.09 (step @p18 :rule eq-symm :args (@t43 @t34)) 16.83/17.09 (step @p19 :rule beta-reduce :args ((= @t47 (= @t43 @t34)))) 16.83/17.09 (step @p20 :rule trans :premises (@p19 @p18)) 16.83/17.09 (step @p21 :rule cong :premises (@p7 @p20) :args ((= @t44 @t47))) 16.83/17.09 (step @p22 :rule trans :premises (@p21 @p5)) 16.83/17.09 (step @p23 :rule eq-symm :args (@t47 @t44)) 16.83/17.09 (step @p24 :rule trans :premises (@p23 @p22)) 16.83/17.09 (step @p25 :rule skolem_intro :args (@t41)) 16.83/17.09 (step @p26 :rule ho_cong :premises (@p25 @p12)) 16.83/17.09 (step @p27 :rule cong :premises (@p26 @p7) :args ((= @t48 @t44))) 16.83/17.09 (step @p28 :rule trans :premises (@p27 @p24)) 16.83/17.09 (step @p29 :rule true_elim :premises (@p28)) 16.83/17.09 (step @p30 :rule cong :premises (@p29 @p17) :args (@t49)) 16.83/17.09 (step @p31 :rule trans :premises (@p30 @p5)) 16.83/17.09 (step @p32 :rule cong :premises (@p31) :args (@t50)) 16.83/17.09 (step @p33 :rule trans :premises (@p32 @p4)) 16.83/17.09 (step @p34 :rule refl :args (@t42)) 16.83/17.09 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t51)) 16.83/17.09 (step @p36 :rule trans :premises (@p35 @p3)) 16.83/17.09 ; WARNING: add trust step for TRUST 16.83/17.09 ; trust TRUST THEORY_LEMMA 16.83/17.09 (step @p37 :rule trust :premises () :args (@t51)) 16.83/17.09 (step @p38 :rule eq_resolve :premises (@p37 @p36)) 16.83/17.09 (step @p39 :rule cnf_and_pos :args (@t57 1)) 16.83/17.09 (step @p40 :rule reordering :premises (@p39) :args ((or @t53 @t58))) 16.83/17.09 (step @p41 :rule bool-eq-true :args (@t53)) 16.83/17.09 (step @p42 :rule absorb :args ((= (or true @t59) true))) 16.83/17.09 (step @p43 :rule refl :args (@t59)) 16.83/17.09 (step @p44 :rule eq-refl :args (@t52)) 16.83/17.09 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t61)) 16.83/17.09 (step @p46 :rule trans :premises (@p45 @p42)) 16.83/17.09 (step @p47 :rule eq-symm :args (@t52 @t34)) 16.83/17.09 (step @p48 :rule cong :premises (@p47 @p46) :args (@t63)) 16.83/17.09 (step @p49 :rule trans :premises (@p48 @p41)) 16.83/17.09 (step @p50 :rule refl :args (@t67)) 16.83/17.09 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t67 @t63))) 16.83/17.09 (assume-push @p1392 @t67) 16.83/17.09 (step @p53 :rule instantiate :premises (@p1392) :args (@t68)) 16.83/17.09 (step-pop @p1392 :rule scope :premises (@p53)) 16.83/17.09 (step @p54 :rule process_scope :premises (@p1392) :args (@t63)) 16.83/17.09 (step @p56 :rule eq_resolve :premises (@p54 @p51)) 16.83/17.09 (step @p57 :rule implies_elim :premises (@p56)) 16.83/17.09 (step @p58 :rule reordering :premises (@p57) :args ((or @t53 @t69))) 16.83/17.09 (step @p59 :rule refl :args (@t5)) 16.83/17.09 (step @p60 :rule refl :args (@t30)) 16.83/17.09 (step @p61 :rule refl :args (@t31)) 16.83/17.09 (step @p62 :rule refl :args (@t9)) 16.83/17.09 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t9 @t31))) 16.83/17.09 (step @p64 :rule symm :premises (@p63)) 16.83/17.09 (step @p65 :rule eq_resolve :premises (@p62 @p64)) 16.83/17.09 (step @p66 :rule cong :premises (@p65 @p60) :args (@t70)) 16.83/17.09 (step @p67 :rule cong :premises (@p66) :args ((forall @t11 @t70))) 16.83/17.09 (step @p68 :rule eq-symm :args (@t7 @t6)) 16.83/17.09 (step @p69 :rule eq-symm :args (@t7 @t2)) 16.83/17.09 (step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t8)) 16.83/17.09 (step @p71 :rule refl :args (@t9)) 16.83/17.09 (step @p72 :rule cong :premises (@p71 @p70) :args (@t10)) 16.83/17.09 (step @p73 :rule cong :premises (@p72) :args (@t12)) 16.83/17.09 (step @p74 :rule trans :premises (@p73 @p67)) 16.83/17.09 (step @p75 :rule nary_cong :premises (@p74 @p59) :args (@t13)) 16.83/17.09 (step @p76 :rule refl :args (@t15)) 16.83/17.09 (step @p77 :rule eq-symm :args (@t31 @t32)) 16.83/17.09 (step @p78 :rule cong :premises (@p77) :args ((forall @t11 (= @t31 @t32)))) 16.83/17.09 (step @p79 :rule refl :args (@t32)) 16.83/17.09 (step @p80 :rule cong :premises (@p65 @p79) :args (@t71)) 16.83/17.09 (step @p81 :rule cong :premises (@p80) :args ((forall @t11 @t71))) 16.83/17.09 (step @p82 :rule trans :premises (@p81 @p78)) 16.83/17.09 (step @p83 :rule eq-symm :args (@t7 @t14)) 16.83/17.09 (step @p84 :rule eq-symm :args (@t7 @t16)) 16.83/17.09 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t17)) 16.83/17.09 (step @p86 :rule cong :premises (@p71 @p85) :args (@t18)) 16.83/17.09 (step @p87 :rule cong :premises (@p86) :args (@t19)) 16.83/17.09 (step @p88 :rule trans :premises (@p87 @p82)) 16.83/17.09 (step @p89 :rule nary_cong :premises (@p88 @p76) :args (@t20)) 16.83/17.09 (step @p90 :rule cong :premises (@p89 @p75) :args (@t21)) 16.83/17.09 (step @p91 :rule cong :premises (@p90) :args (@t23)) 16.83/17.09 (step @p92 :rule refl :args (@t24)) 16.83/17.09 (step @p93 :rule cong :premises (@p92 @p91) :args (@t25)) 16.83/17.09 (step @p94 :rule cong :premises (@p93) :args (@t27)) 16.83/17.09 (step @p95 :rule cong :premises (@p94) :args (@t28)) 16.83/17.09 (step @p96 :rule eq_resolve :premises (@p1 @p95)) 16.83/17.09 (step @p97 :rule refl :args (@t78)) 16.83/17.09 (step @p98 :rule bool-double-not-elim :args (@t33)) 16.83/17.09 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t79) @t78))) 16.83/17.09 (step @p100 :rule eq-symm :args (@t52 @t1)) 16.83/17.09 (step @p101 :rule cong :premises (@p100) :args (@t80)) 16.83/17.09 (step @p102 :rule refl :args (@t4)) 16.83/17.09 (step @p103 :rule cong :premises (@p102 @p101) :args (@t81)) 16.83/17.09 (step @p104 :rule eq-symm :args (@t54 @t7)) 16.83/17.09 (step @p105 :rule eq-symm :args (@t52 @t7)) 16.83/17.09 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t83)) 16.83/17.09 (step @p107 :rule refl :args (@t31)) 16.83/17.09 (step @p108 :rule cong :premises (@p107 @p106) :args (@t84)) 16.83/17.09 (step @p109 :rule cong :premises (@p108) :args (@t85)) 16.83/17.09 (step @p110 :rule nary_cong :premises (@p109 @p103) :args (@t86)) 16.83/17.09 (step @p111 :rule eq-symm :args (@t34 @t1)) 16.83/17.09 (step @p112 :rule cong :premises (@p111) :args (@t87)) 16.83/17.09 (step @p113 :rule cong :premises (@p102 @p112) :args (@t88)) 16.83/17.09 (step @p114 :rule eq-symm :args (@t34 @t7)) 16.83/17.09 (step @p115 :rule eq-symm :args (@t55 @t7)) 16.83/17.09 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t90)) 16.83/17.09 (step @p117 :rule cong :premises (@p107 @p116) :args ((= @t31 @t90))) 16.83/17.09 (step @p118 :rule eq-symm :args (@t90 @t31)) 16.83/17.09 (step @p119 :rule trans :premises (@p118 @p117)) 16.83/17.09 (step @p120 :rule cong :premises (@p119) :args (@t91)) 16.83/17.09 (step @p121 :rule nary_cong :premises (@p120 @p113) :args (@t92)) 16.83/17.09 (step @p122 :rule cong :premises (@p121 @p110) :args (@t93)) 16.83/17.09 (step @p123 :rule cong :premises (@p122) :args (@t94)) 16.83/17.09 (step @p124 :rule refl :args (@t57)) 16.83/17.09 (step @p125 :rule cong :premises (@p124 @p123) :args (@t95)) 16.83/17.09 (step @p126 :rule cong :premises (@p125) :args (@t96)) 16.83/17.09 (step @p127 :rule refl :args (@t79)) 16.83/17.09 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t79 @t96))) 16.83/17.09 (assume-push @p1394 @t79) 16.83/17.09 (step @p130 :rule skolemize :premises (@p96)) 16.83/17.09 (step-pop @p1394 :rule scope :premises (@p130)) 16.83/17.09 (step @p131 :rule process_scope :premises (@p1394) :args (@t96)) 16.83/17.09 (step @p133 :rule eq_resolve :premises (@p131 @p128)) 16.83/17.09 (step @p134 :rule implies_elim :premises (@p133)) 16.83/17.09 (step @p135 :rule eq_resolve :premises (@p134 @p99)) 16.83/17.09 (step @p136 :rule chain_resolution :premises (@p135 @p96) :args (@t97 (@list @t33))) 16.83/17.09 (step @p137 :rule cnf_equiv_neg1 :args (@t77)) 16.83/17.09 (step @p138 :rule reordering :premises (@p137) :args ((or @t57 @t76 @t77))) 16.83/17.09 (step @p139 :rule eq-symm :args (@t99 @t102)) 16.83/17.09 (step @p140 :rule eq-refl :args (@t37)) 16.83/17.09 (step @p141 :rule refl :args (@t37)) 16.83/17.09 (step @p142 :rule cong :premises (@p141 @p13) :args ((= @t37 @t38))) 16.83/17.09 (step @p143 :rule trans :premises (@p142 @p140)) 16.83/17.09 (step @p144 :rule true_elim :premises (@p143)) 16.83/17.09 (step @p145 :rule eq-refl :args (@t73)) 16.83/17.09 (step @p146 :rule skolem_intro :args (@t100)) 16.83/17.09 (step @p147 :rule refl :args (@t73)) 16.83/17.09 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t73 @t100))) 16.83/17.09 (step @p149 :rule trans :premises (@p148 @p145)) 16.83/17.09 (step @p150 :rule true_elim :premises (@p149)) 16.83/17.09 (step @p151 :rule cong :premises (@p150 @p144) :args (@t103)) 16.83/17.09 (step @p152 :rule nary_cong :premises (@p50 @p151) :args (@t104)) 16.83/17.09 (step @p153 :rule eq-refl :args (@t40)) 16.83/17.09 (step @p154 :rule refl :args (@t40)) 16.83/17.09 (step @p155 :rule cong :premises (@p154 @p25) :args ((= @t40 @t41))) 16.83/17.09 (step @p156 :rule trans :premises (@p155 @p153)) 16.83/17.09 (step @p157 :rule true_elim :premises (@p156)) 16.83/17.09 (step @p158 :rule cong :premises (@p157 @p144) :args (@t105)) 16.83/17.09 (step @p159 :rule refl :args (@t98)) 16.83/17.09 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t106)) 16.83/17.09 (step @p161 :rule cong :premises (@p160 @p152) :args (@t107)) 16.83/17.09 (step @p162 :rule trans :premises (@p161 @p139)) 16.83/17.09 (step @p163 :rule refl :args (@t76)) 16.83/17.09 (step @p164 :rule cong :premises (@p163 @p162) :args ((=> @t76 @t107))) 16.83/17.09 (step @p165 :rule eq-symm :args (@t37 @t73)) 16.83/17.09 (step @p166 :rule eq-symm :args (@t29 @t34)) 16.83/17.09 (step @p167 :rule cong :premises (@p166) :args (@t108)) 16.83/17.09 (step @p168 :rule cong :premises (@p167 @p147) :args (@t109)) 16.83/17.09 (step @p169 :rule trans :premises (@p168 @p165)) 16.83/17.09 (step @p170 :rule eq-symm :args (@t65 @t66)) 16.83/17.09 (step @p171 :rule beta-reduce :args ((= @t110 @t66))) 16.83/17.09 (step @p172 :rule refl :args (@t65)) 16.83/17.09 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t65 @t110))) 16.83/17.09 (step @p174 :rule trans :premises (@p173 @p170)) 16.83/17.09 (step @p175 :rule eq-symm :args (@t110 @t65)) 16.83/17.09 (step @p176 :rule trans :premises (@p175 @p174)) 16.83/17.09 (step @p177 :rule cong :premises (@p176) :args (@t111)) 16.83/17.09 (step @p178 :rule nary_cong :premises (@p177 @p169) :args (@t112)) 16.83/17.09 (step @p179 :rule eq-symm :args (@t37 @t40)) 16.83/17.09 (step @p180 :rule cong :premises (@p167 @p154) :args (@t113)) 16.83/17.09 (step @p181 :rule trans :premises (@p180 @p179)) 16.83/17.09 (step @p182 :rule eq-symm :args (@t75 @t66)) 16.83/17.09 (step @p183 :rule refl :args (@t75)) 16.83/17.09 (step @p184 :rule cong :premises (@p183 @p171) :args ((= @t75 @t110))) 16.83/17.09 (step @p185 :rule trans :premises (@p184 @p182)) 16.83/17.09 (step @p186 :rule eq-symm :args (@t110 @t75)) 16.83/17.09 (step @p187 :rule trans :premises (@p186 @p185)) 16.83/17.09 (step @p188 :rule cong :premises (@p187) :args (@t114)) 16.83/17.09 (step @p189 :rule nary_cong :premises (@p188 @p181) :args (@t115)) 16.83/17.09 (step @p190 :rule cong :premises (@p189 @p178) :args (@t116)) 16.83/17.09 (step @p191 :rule cong :premises (@p163 @p190) :args ((=> @t76 @t116))) 16.83/17.09 (assume-push @p1396 @t76) 16.83/17.09 (step @p193 :rule instantiate :premises (@p1396) :args ((@list @t108))) 16.83/17.09 (step-pop @p1396 :rule scope :premises (@p193)) 16.83/17.09 (step @p194 :rule process_scope :premises (@p1396) :args (@t116)) 16.83/17.09 (step @p196 :rule eq_resolve :premises (@p194 @p191)) 16.83/17.09 (step @p197 :rule eq_resolve :premises (@p196 @p164)) 16.83/17.09 (step @p198 :rule implies_elim :premises (@p197)) 16.83/17.09 (step @p199 :rule cnf_or_neg :args (@t99 1)) 16.83/17.09 (step @p200 :rule chain_resolution :premises (@p199 @p38) :args (@t117 (@list @t42))) 16.83/17.09 (step @p201 :rule cnf_equiv_pos2 :args (@t118)) 16.83/17.09 (step @p202 :rule reordering :premises (@p201) :args ((or @t102 (not @t99) (not @t118)))) 16.83/17.09 (step @p203 :rule cnf_or_pos :args (@t102)) 16.83/17.09 (step @p204 :rule reordering :premises (@p203) :args ((or @t67 @t101 (not @t102)))) 16.83/17.09 (step @p205 :rule cong :premises (@p47 @p44) :args (@t119)) 16.83/17.09 (step @p206 :rule trans :premises (@p205 @p41)) 16.83/17.09 (step @p207 :rule refl :args (@t120)) 16.83/17.09 (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t120 @t119))) 16.83/17.09 (assume-push @p1398 @t120) 16.83/17.09 (step @p210 :rule instantiate :premises (@p1398) :args (@t68)) 16.83/17.09 (step-pop @p1398 :rule scope :premises (@p210)) 16.83/17.09 (step @p211 :rule process_scope :premises (@p1398) :args (@t119)) 16.83/17.09 (step @p213 :rule eq_resolve :premises (@p211 @p208)) 16.83/17.09 (step @p214 :rule implies_elim :premises (@p213)) 16.83/17.09 (step @p215 :rule reordering :premises (@p214) :args ((or @t53 (not @t120)))) 16.83/17.09 (step @p216 :rule eq-symm :args (@t72 @t39)) 16.83/17.09 (step @p217 :rule cong :premises (@p216) :args (@t121)) 16.83/17.09 (step @p218 :rule refl :args (@t122)) 16.83/17.09 (step @p219 :rule cong :premises (@p218 @p217) :args (@t123)) 16.83/17.09 ; trust TRUST THEORY_LEMMA 16.83/17.09 (step @p220 :rule trust :premises () :args (@t123)) 16.83/17.09 (step @p221 :rule eq_resolve :premises (@p220 @p219)) 16.83/17.09 (step @p222 :rule implies_elim :premises (@p221)) 16.83/17.09 (step @p223 :rule refl :args (@t124)) 16.83/17.09 (step @p224 :rule refl :args (@t125)) 16.83/17.09 (step @p225 :rule bool-double-not-elim :args (@t122)) 16.83/17.09 (step @p226 :rule nary_cong :premises (@p225 @p224 @p223) :args ((or (not @t126) @t125 @t124))) 16.83/17.09 (assume-push @p1400 @t126) 16.83/17.09 (assume-push @p1401 @t101) 16.83/17.09 (assume-push @p1402 @t42) 16.83/17.09 (step @p230 :rule evaluate :args ((= true false))) 16.83/17.09 (step @p231 :rule false_intro :premises (@p1400)) 16.83/17.09 (step @p232 :rule symm :premises (@p1401)) 16.83/17.09 (step @p233 :rule trans :premises (@p38 @p232)) 16.83/17.09 (step @p234 :rule symm :premises (@p233)) 16.83/17.09 (step @p235 :rule true_intro :premises (@p234)) 16.83/17.09 (step @p236 :rule symm :premises (@p235)) 16.83/17.09 (step @p237 :rule trans :premises (@p236 @p231)) 16.83/17.09 (step @p238 false :rule eq_resolve :premises (@p237 @p230)) 16.83/17.09 (step-pop @p1402 :rule scope :premises (@p238)) 16.83/17.09 (step-pop @p1403 :rule scope :premises (@p1402)) 16.83/17.09 (step-pop @p1404 :rule scope :premises (@p1403)) 16.83/17.09 (step @p239 :rule process_scope :premises (@p1404) :args (false)) 16.83/17.09 (step @p243 :rule not_and :premises (@p239)) 16.83/17.09 (step @p244 :rule eq_resolve :premises (@p243 @p226)) 16.83/17.09 (step @p245 :rule chain_resolution :premises (@p244 @p38 @p222 @p215 @p204 @p202 @p200 @p198 @p138 @p136 @p58 @p40) :args ((@list false true true false false false false false true true true) (@list @t42 @t122 @t120 @t101 @t102 @t99 @t118 @t76 @t77 @t67 @t57))) 16.83/17.09 (step @p246 :rule factoring :premises (@p245)) 16.83/17.09 (step @p247 :rule cnf_and_neg :args (@t57)) 16.83/17.09 (step @p248 :rule cnf_equiv_neg2 :args (@t77)) 16.83/17.09 (step @p249 :rule refl :args (@t136)) 16.83/17.09 (step @p250 :rule bool-double-not-elim :args (@t76)) 16.83/17.09 (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or (not @t137) @t136))) 16.83/17.09 (step @p252 :rule eq-symm :args (@t131 @t134)) 16.83/17.09 (step @p253 :rule eq-symm :args (@t100 @t127)) 16.83/17.09 (step @p254 :rule refl :args (@t127)) 16.83/17.09 (step @p255 :rule cong :premises (@p150 @p254) :args (@t138)) 16.83/17.09 (step @p256 :rule trans :premises (@p255 @p253)) 16.83/17.09 (step @p257 :rule refl :args (@t133)) 16.83/17.09 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t139)) 16.83/17.09 (step @p259 :rule eq-symm :args (@t41 @t127)) 16.83/17.09 (step @p260 :rule cong :premises (@p157 @p254) :args (@t140)) 16.83/17.09 (step @p261 :rule trans :premises (@p260 @p259)) 16.83/17.09 (step @p262 :rule refl :args (@t130)) 16.83/17.09 (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t141)) 16.83/17.09 (step @p264 :rule cong :premises (@p263 @p258) :args (@t142)) 16.83/17.09 (step @p265 :rule trans :premises (@p264 @p252)) 16.83/17.09 (step @p266 :rule cong :premises (@p265) :args (@t143)) 16.83/17.09 (step @p267 :rule refl :args (@t137)) 16.83/17.09 (step @p268 :rule cong :premises (@p267 @p266) :args ((=> @t137 @t143))) 16.83/17.09 (step @p269 :rule eq-symm :args (@t127 @t73)) 16.83/17.09 (step @p270 :rule eq-symm :args (@t129 @t65)) 16.83/17.09 (step @p271 :rule cong :premises (@p270) :args (@t144)) 16.83/17.09 (step @p272 :rule nary_cong :premises (@p271 @p269) :args (@t145)) 16.83/17.09 (step @p273 :rule eq-symm :args (@t127 @t40)) 16.83/17.09 (step @p274 :rule eq-symm :args (@t129 @t75)) 16.83/17.09 (step @p275 :rule cong :premises (@p274) :args (@t146)) 16.83/17.09 (step @p276 :rule nary_cong :premises (@p275 @p273) :args (@t147)) 16.83/17.09 (step @p277 :rule cong :premises (@p276 @p272) :args (@t148)) 16.83/17.09 (step @p278 :rule cong :premises (@p277) :args (@t149)) 16.83/17.09 (step @p279 :rule cong :premises (@p267 @p278) :args ((=> @t137 @t149))) 16.83/17.09 (step @p280 :rule trans :premises (@p279 @p268)) 16.83/17.09 (assume-push @p1406 @t137) 16.83/17.09 (step @p282 :rule skolemize :premises (@p1406)) 16.83/17.09 (step-pop @p1406 :rule scope :premises (@p282)) 16.83/17.09 (step @p283 :rule process_scope :premises (@p1406) :args (@t149)) 16.83/17.09 (step @p285 :rule eq_resolve :premises (@p283 @p280)) 16.83/17.09 (step @p286 :rule implies_elim :premises (@p285)) 16.83/17.09 (step @p287 :rule eq_resolve :premises (@p286 @p251)) 16.83/17.09 (step @p288 :rule eq-symm :args (@t150 @t54)) 16.83/17.09 (step @p289 :rule eq-symm :args (@t150 @t52)) 16.83/17.09 (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t151)) 16.83/17.09 (step @p291 :rule refl :args (@t152)) 16.83/17.09 (step @p292 :rule cong :premises (@p291 @p290) :args ((= @t152 @t151))) 16.83/17.09 (step @p293 :rule eq-symm :args (@t151 @t152)) 16.83/17.09 (step @p294 :rule trans :premises (@p293 @p292)) 16.83/17.09 (step @p295 :rule cong :premises (@p257 @p294) :args ((=> @t133 @t153))) 16.83/17.09 (assume-push @p1408 @t133) 16.83/17.09 (step @p297 :rule instantiate :premises (@p1408) :args ((@list @t150))) 16.83/17.09 (step-pop @p1408 :rule scope :premises (@p297)) 16.83/17.09 (step @p298 :rule process_scope :premises (@p1408) :args (@t153)) 16.83/17.09 (step @p300 :rule eq_resolve :premises (@p298 @p295)) 16.83/17.09 (step @p301 :rule implies_elim :premises (@p300)) 16.83/17.09 (step @p302 :rule cnf_or_neg :args (@t134 0)) 16.83/17.09 (step @p303 :rule cnf_equiv_neg2 :args (@t135)) 16.83/17.09 (step @p304 :rule cnf_or_neg :args (@t131 0)) 16.83/17.09 (step @p305 :rule refl :args (@t158)) 16.83/17.09 (step @p306 :rule bool-double-not-elim :args (@t130)) 16.83/17.09 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or (not @t159) @t158))) 16.83/17.09 (step @p308 :rule eq-symm :args (@t156 @t152)) 16.83/17.09 (step @p309 :rule eq-symm :args (@t150 @t34)) 16.83/17.09 (step @p310 :rule eq-symm :args (@t150 @t55)) 16.83/17.09 (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t160)) 16.83/17.09 (step @p312 :rule cong :premises (@p311 @p291) :args (@t161)) 16.83/17.09 (step @p313 :rule trans :premises (@p312 @p308)) 16.83/17.09 (step @p314 :rule cong :premises (@p313) :args (@t162)) 16.83/17.09 (step @p315 :rule refl :args (@t159)) 16.83/17.09 (step @p316 :rule cong :premises (@p315 @p314) :args ((=> @t159 @t162))) 16.83/17.09 (assume-push @p1410 @t159) 16.83/17.09 (step @p318 :rule skolemize :premises (@p1410)) 16.83/17.09 (step-pop @p1410 :rule scope :premises (@p318)) 16.83/17.09 (step @p319 :rule process_scope :premises (@p1410) :args (@t162)) 16.83/17.09 (step @p321 :rule eq_resolve :premises (@p319 @p316)) 16.83/17.09 (step @p322 :rule implies_elim :premises (@p321)) 16.83/17.09 (step @p323 :rule eq_resolve :premises (@p322 @p307)) 16.83/17.09 (step @p324 :rule cnf_equiv_neg2 :args (@t157)) 16.83/17.09 (step @p325 :rule cnf_equiv_pos1 :args (@t166)) 16.83/17.09 (step @p326 :rule reordering :premises (@p325) :args ((or @t168 @t165 @t167))) 16.83/17.09 (step @p327 :rule cnf_or_neg :args (@t156 0)) 16.83/17.09 (step @p328 :rule cnf_or_neg :args (@t156 1)) 16.83/17.09 (step @p329 :rule refl :args (@t169)) 16.83/17.09 (step @p330 :rule bool-double-not-elim :args (@t155)) 16.83/17.09 (step @p331 :rule refl :args (@t170)) 16.83/17.09 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args ((or @t170 (not @t171) @t169))) 16.83/17.09 (assume-push @p1412 @t56) 16.83/17.09 (assume-push @p1413 @t171) 16.83/17.09 (assume-push @p1414 @t171) 16.83/17.09 (assume-push @p1415 @t56) 16.83/17.09 (step @p337 :rule false_intro :premises (@p1413)) 16.83/17.09 (step @p338 :rule refl :args (@t150)) 16.83/17.09 (step @p339 :rule symm :premises (@p1412)) 16.83/17.09 (step @p340 :rule cong :premises (@p339 @p338) :args (@t163)) 16.83/17.09 (step @p341 :rule trans :premises (@p340 @p337)) 16.83/17.09 (step @p342 :rule false_elim :premises (@p341)) 16.83/17.09 (step-pop @p1415 :rule scope :premises (@p342)) 16.83/17.09 (step-pop @p1416 :rule scope :premises (@p1415)) 16.83/17.09 (step @p343 :rule process_scope :premises (@p1416) :args (@t169)) 16.83/17.09 (step @p346 :rule and_intro :premises (@p1413 @p1412)) 16.83/17.09 (step @p347 :rule modus_ponens :premises (@p346 @p343)) 16.83/17.09 (step-pop @p1417 :rule scope :premises (@p347)) 16.83/17.09 (step-pop @p1418 :rule scope :premises (@p1417)) 16.83/17.09 (step @p348 :rule process_scope :premises (@p1418) :args (@t169)) 16.83/17.09 (step @p351 :rule implies_elim :premises (@p348)) 16.83/17.09 (step @p352 :rule cnf_and_neg :args (@t172)) 16.83/17.09 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t172)) 16.83/17.09 (step @p354 :rule eq_resolve :premises (@p353 @p332)) 16.83/17.09 (step @p355 :rule refl :args (@t173)) 16.83/17.09 (step @p356 :rule bool-double-not-elim :args (@t154)) 16.83/17.09 (step @p357 :rule refl :args (@t174)) 16.83/17.09 (step @p358 :rule nary_cong :premises (@p357 @p356 @p355) :args ((or @t174 (not @t175) @t173))) 16.83/17.09 (assume-push @p1420 @t53) 16.83/17.09 (assume-push @p1421 @t175) 16.83/17.09 (assume-push @p1422 @t175) 16.83/17.09 (assume-push @p1423 @t53) 16.83/17.09 (step @p363 :rule false_intro :premises (@p1421)) 16.83/17.09 (step @p338 :rule refl :args (@t150)) 16.83/17.09 (step @p364 :rule symm :premises (@p1420)) 16.83/17.09 (step @p365 :rule cong :premises (@p364 @p338) :args (@t164)) 16.83/17.09 (step @p366 :rule trans :premises (@p365 @p363)) 16.83/17.09 (step @p367 :rule false_elim :premises (@p366)) 16.83/17.09 (step-pop @p1423 :rule scope :premises (@p367)) 16.83/17.09 (step-pop @p1424 :rule scope :premises (@p1423)) 16.83/17.09 (step @p368 :rule process_scope :premises (@p1424) :args (@t173)) 16.83/17.09 (step @p371 :rule and_intro :premises (@p1421 @p1420)) 16.83/17.09 (step @p372 :rule modus_ponens :premises (@p371 @p368)) 16.83/17.09 (step-pop @p1425 :rule scope :premises (@p372)) 16.83/17.09 (step-pop @p1426 :rule scope :premises (@p1425)) 16.83/17.09 (step @p373 :rule process_scope :premises (@p1426) :args (@t173)) 16.83/17.09 (step @p376 :rule implies_elim :premises (@p373)) 16.83/17.09 (step @p377 :rule cnf_and_neg :args (@t176)) 16.83/17.09 (step @p378 :rule resolution :premises (@p377 @p376) :args (true @t176)) 16.83/17.09 (step @p379 :rule eq_resolve :premises (@p378 @p358)) 16.83/17.09 (step @p380 :rule cnf_or_pos :args (@t165)) 16.83/17.09 (step @p381 :rule reordering :premises (@p380) :args ((or @t164 @t163 @t177))) 16.83/17.09 (step @p382 :rule chain_resolution :premises (@p381 @p379 @p354 @p328 @p327 @p326) :args ((@list true true true true false) (@list @t164 @t163 @t154 @t155 @t165))) 16.83/17.09 (step @p383 :rule factoring :premises (@p382)) 16.83/17.09 (step @p384 :rule chain_resolution :premises (@p383 @p324) :args (@t97 (@list @t156))) 16.83/17.09 (step @p385 :rule factoring :premises (@p384)) 16.83/17.09 (step @p386 :rule reordering :premises (@p385) :args ((or @t170 @t174 @t157 @t168 @t167))) 16.83/17.09 (step @p387 :rule cnf_equiv_neg1 :args (@t157)) 16.83/17.09 (step @p388 :rule reordering :premises (@p387) :args ((or @t152 @t156 @t157))) 16.83/17.09 (step @p389 :rule cnf_equiv_pos2 :args (@t166)) 16.83/17.09 (step @p390 :rule reordering :premises (@p389) :args ((or @t152 @t177 @t167))) 16.83/17.09 (step @p391 :rule cnf_or_neg :args (@t165 0)) 16.83/17.09 (step @p392 :rule cnf_or_neg :args (@t165 1)) 16.83/17.09 (step @p393 :rule refl :args (@t175)) 16.83/17.09 (step @p394 :rule bool-double-not-elim :args (@t164)) 16.83/17.09 (step @p395 :rule nary_cong :premises (@p357 @p394 @p393) :args ((or @t174 (not @t173) @t175))) 16.83/17.09 (assume-push @p1428 @t53) 16.83/17.09 (assume-push @p1429 @t173) 16.83/17.09 (assume-push @p1430 @t173) 16.83/17.09 (assume-push @p1431 @t53) 16.83/17.09 (step @p400 :rule false_intro :premises (@p1429)) 16.83/17.09 (step @p338 :rule refl :args (@t150)) 16.83/17.09 (step @p401 :rule cong :premises (@p1428 @p338) :args (@t154)) 16.83/17.09 (step @p402 :rule trans :premises (@p401 @p400)) 16.83/17.09 (step @p403 :rule false_elim :premises (@p402)) 16.83/17.09 (step-pop @p1431 :rule scope :premises (@p403)) 16.83/17.09 (step-pop @p1432 :rule scope :premises (@p1431)) 16.83/17.09 (step @p404 :rule process_scope :premises (@p1432) :args (@t175)) 16.83/17.09 (step @p407 :rule and_intro :premises (@p1429 @p1428)) 16.83/17.09 (step @p408 :rule modus_ponens :premises (@p407 @p404)) 16.83/17.09 (step-pop @p1433 :rule scope :premises (@p408)) 16.83/17.09 (step-pop @p1434 :rule scope :premises (@p1433)) 16.83/17.09 (step @p409 :rule process_scope :premises (@p1434) :args (@t175)) 16.83/17.09 (step @p412 :rule implies_elim :premises (@p409)) 16.83/17.09 (step @p413 :rule cnf_and_neg :args (@t178)) 16.83/17.09 (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t178)) 16.83/17.09 (step @p415 :rule eq_resolve :premises (@p414 @p395)) 16.83/17.09 (step @p416 :rule reordering :premises (@p415) :args ((or @t174 @t175 @t164))) 16.83/17.09 (step @p417 :rule refl :args (@t171)) 16.83/17.09 (step @p418 :rule bool-double-not-elim :args (@t163)) 16.83/17.09 (step @p419 :rule nary_cong :premises (@p331 @p418 @p417) :args ((or @t170 (not @t169) @t171))) 16.83/17.09 (assume-push @p1436 @t56) 16.83/17.09 (assume-push @p1437 @t169) 16.83/17.09 (assume-push @p1438 @t169) 16.83/17.09 (assume-push @p1439 @t56) 16.83/17.09 (step @p424 :rule false_intro :premises (@p1437)) 16.83/17.09 (step @p338 :rule refl :args (@t150)) 16.83/17.09 (step @p425 :rule cong :premises (@p1436 @p338) :args (@t155)) 16.83/17.09 (step @p426 :rule trans :premises (@p425 @p424)) 16.83/17.09 (step @p427 :rule false_elim :premises (@p426)) 16.83/17.09 (step-pop @p1439 :rule scope :premises (@p427)) 16.83/17.09 (step-pop @p1440 :rule scope :premises (@p1439)) 16.83/17.09 (step @p428 :rule process_scope :premises (@p1440) :args (@t171)) 16.83/17.09 (step @p431 :rule and_intro :premises (@p1437 @p1436)) 16.83/17.09 (step @p432 :rule modus_ponens :premises (@p431 @p428)) 16.83/17.09 (step-pop @p1441 :rule scope :premises (@p432)) 16.83/17.09 (step-pop @p1442 :rule scope :premises (@p1441)) 16.83/17.09 (step @p433 :rule process_scope :premises (@p1442) :args (@t171)) 16.83/17.09 (step @p436 :rule implies_elim :premises (@p433)) 16.83/17.09 (step @p437 :rule cnf_and_neg :args (@t179)) 16.83/17.09 (step @p438 :rule resolution :premises (@p437 @p436) :args (true @t179)) 16.83/17.09 (step @p439 :rule eq_resolve :premises (@p438 @p419)) 16.83/17.09 (step @p440 :rule reordering :premises (@p439) :args ((or @t170 @t171 @t163))) 16.83/17.09 (step @p441 :rule cnf_or_pos :args (@t156)) 16.83/17.09 (step @p442 :rule reordering :premises (@p441) :args ((or @t155 @t154 (not @t156)))) 16.83/17.09 (step @p443 :rule chain_resolution :premises (@p442 @p440 @p416 @p392 @p391) :args ((@list true true true true) (@list @t155 @t154 @t163 @t164))) 16.83/17.09 (step @p444 :rule factoring :premises (@p443)) 16.83/17.09 (step @p445 :rule chain_resolution :premises (@p444 @p390 @p388) :args (@t180 (@list @t165 @t156))) 16.83/17.09 (step @p446 :rule factoring :premises (@p445)) 16.83/17.09 (step @p447 :rule chain_resolution :premises (@p446 @p386) :args (@t97 (@list @t152))) 16.83/17.09 (step @p448 :rule factoring :premises (@p447)) 16.83/17.09 (step @p449 :rule chain_resolution :premises (@p448 @p323 @p304 @p303 @p302 @p287 @p248 @p135 @p96 @p247 @p301) :args ((@list true true true false true true true true false false) (@list @t157 @t130 @t131 @t134 @t135 @t76 @t77 @t33 @t57 @t166))) 16.83/17.09 (step @p450 :rule factoring :premises (@p449)) 16.83/17.09 ; trust TRUST THEORY_LEMMA 16.83/17.09 (step @p451 :rule trust :premises () :args ((=> @t132 @t184))) 16.83/17.09 (step @p452 :rule implies_elim :premises (@p451)) 16.83/17.09 (step @p453 :rule cnf_or_neg :args (@t134 1)) 16.83/17.09 (step @p454 :rule cnf_or_neg :args (@t131 1)) 16.83/17.09 (step @p455 :rule eq-refl :args (@t185)) 16.83/17.09 (step @p456 :rule eq-symm :args (@t181 @t34)) 16.83/17.09 (step @p457 :rule beta-reduce :args ((= @t186 (= @t181 @t34)))) 16.83/17.09 (step @p458 :rule trans :premises (@p457 @p456)) 16.83/17.09 (step @p459 :rule refl :args (@t185)) 16.83/17.09 (step @p460 :rule cong :premises (@p459 @p458) :args ((= @t185 @t186))) 16.83/17.09 (step @p461 :rule trans :premises (@p460 @p455)) 16.83/17.09 (step @p462 :rule eq-symm :args (@t186 @t185)) 16.83/17.09 (step @p463 :rule trans :premises (@p462 @p461)) 16.83/17.09 (step @p464 :rule refl :args (@t181)) 16.83/17.09 (step @p465 :rule ho_cong :premises (@p25 @p464)) 16.83/17.09 (step @p466 :rule cong :premises (@p465 @p459) :args ((= @t187 @t185))) 16.83/17.09 (step @p467 :rule trans :premises (@p466 @p463)) 16.83/17.09 (step @p468 :rule true_elim :premises (@p467)) 16.83/17.09 (step @p469 :rule refl :args (@t183)) 16.83/17.09 (step @p470 :rule cong :premises (@p469 @p468) :args (@t188)) 16.83/17.09 (step @p471 :rule cong :premises (@p470) :args (@t189)) 16.83/17.09 (step @p472 :rule refl :args (@t128)) 16.83/17.09 (step @p473 :rule nary_cong :premises (@p472 @p471) :args (@t190)) 16.83/17.09 ; trust TRUST THEORY_LEMMA 16.83/17.09 (step @p474 :rule trust :premises () :args (@t190)) 16.83/17.09 (step @p475 :rule eq_resolve :premises (@p474 @p473)) 16.83/17.09 (step @p476 :rule cnf_equiv_neg2 :args (@t191)) 16.83/17.09 (step @p477 :rule cnf_equiv_pos1 :args (@t184)) 16.83/17.09 (step @p478 :rule reordering :premises (@p477) :args ((or @t193 @t182 @t192))) 16.83/17.09 (step @p479 :rule refl :args (@t194)) 16.83/17.09 (step @p480 :rule bool-double-not-elim :args (@t185)) 16.83/17.09 (step @p481 :rule nary_cong :premises (@p357 @p480 @p479) :args ((or @t174 (not @t195) @t194))) 16.83/17.09 (assume-push @p1444 @t53) 16.83/17.09 (assume-push @p1445 @t195) 16.83/17.09 (assume-push @p1446 @t195) 16.83/17.09 (assume-push @p1447 @t53) 16.83/17.09 (step @p486 :rule false_intro :premises (@p1445)) 16.83/17.09 (step @p487 :rule symm :premises (@p1444)) 16.83/17.09 (step @p488 :rule cong :premises (@p487 @p464) :args (@t182)) 16.83/17.09 (step @p489 :rule trans :premises (@p488 @p486)) 16.83/17.09 (step @p490 :rule false_elim :premises (@p489)) 16.83/17.09 (step-pop @p1447 :rule scope :premises (@p490)) 16.83/17.09 (step-pop @p1448 :rule scope :premises (@p1447)) 16.83/17.09 (step @p491 :rule process_scope :premises (@p1448) :args (@t194)) 16.83/17.09 (step @p494 :rule and_intro :premises (@p1445 @p1444)) 16.83/17.09 (step @p495 :rule modus_ponens :premises (@p494 @p491)) 16.83/17.09 (step-pop @p1449 :rule scope :premises (@p495)) 16.83/17.09 (step-pop @p1450 :rule scope :premises (@p1449)) 16.83/17.09 (step @p496 :rule process_scope :premises (@p1450) :args (@t194)) 16.83/17.09 (step @p499 :rule implies_elim :premises (@p496)) 16.83/17.09 (step @p500 :rule cnf_and_neg :args (@t196)) 16.83/17.09 (step @p501 :rule resolution :premises (@p500 @p499) :args (true @t196)) 16.83/17.09 (step @p502 :rule eq_resolve :premises (@p501 @p481)) 16.83/17.09 (step @p503 :rule chain_resolution :premises (@p502 @p478 @p476) :args (@t197 @t198)) 16.83/17.09 (step @p504 :rule factoring :premises (@p503)) 16.83/17.09 (step @p505 :rule reordering :premises (@p504) :args ((or @t174 @t191 @t193 @t192))) 16.83/17.09 (step @p506 :rule cnf_equiv_neg1 :args (@t191)) 16.83/17.09 (step @p507 :rule reordering :premises (@p506) :args ((or @t183 @t185 @t191))) 16.83/17.09 (step @p508 :rule cnf_equiv_pos2 :args (@t184)) 16.83/17.09 (step @p509 :rule reordering :premises (@p508) :args ((or @t183 @t194 @t192))) 16.83/17.09 (assume-push @p1452 @t53) 16.83/17.09 (assume-push @p1453 @t185) 16.83/17.09 (assume-push @p1454 @t185) 16.83/17.09 (assume-push @p1455 @t53) 16.83/17.09 (step @p514 :rule symm :premises (@p1452)) 16.83/17.09 (step @p515 :rule trans :premises (@p514 @p1453)) 16.83/17.09 (step-pop @p1455 :rule scope :premises (@p515)) 16.83/17.09 (step-pop @p1456 :rule scope :premises (@p1455)) 16.83/17.09 (step @p516 :rule process_scope :premises (@p1456) :args (@t182)) 16.83/17.09 (step @p519 :rule and_intro :premises (@p1453 @p1452)) 16.83/17.09 (step @p520 :rule modus_ponens :premises (@p519 @p516)) 16.83/17.09 (step-pop @p1457 :rule scope :premises (@p520)) 16.83/17.09 (step-pop @p1458 :rule scope :premises (@p1457)) 16.83/17.09 (step @p521 :rule process_scope :premises (@p1458) :args (@t182)) 16.83/17.09 (step @p524 :rule implies_elim :premises (@p521)) 16.83/17.09 (step @p525 :rule cnf_and_neg :args (@t199)) 16.83/17.09 (step @p526 :rule resolution :premises (@p525 @p524) :args (true @t199)) 16.83/17.09 (step @p527 :rule chain_resolution :premises (@p526 @p509 @p507) :args (@t180 @t198)) 16.83/17.09 (step @p528 :rule factoring :premises (@p527)) 16.83/17.09 (step @p529 :rule chain_resolution :premises (@p528 @p505) :args (@t97 (@list @t183))) 16.83/17.09 (step @p530 :rule factoring :premises (@p529)) 16.83/17.09 (step @p531 :rule chain_resolution :premises (@p530 @p475 @p454 @p303 @p453 @p452) :args ((@list true true true false false) (@list @t191 @t128 @t131 @t134 @t184))) 16.83/17.09 (step @p532 :rule factoring :premises (@p531)) 16.83/17.09 (step @p533 :rule cnf_or_pos :args (@t134)) 16.83/17.09 (step @p534 :rule reordering :premises (@p533) :args ((or @t133 @t132 (not @t134)))) 16.83/17.09 (step @p535 :rule eq-refl :args (@t201)) 16.83/17.09 (step @p536 :rule eq-symm :args (@t200 @t52)) 16.83/17.09 (step @p537 :rule beta-reduce :args ((= @t202 (= @t200 @t52)))) 16.83/17.09 (step @p538 :rule trans :premises (@p537 @p536)) 16.83/17.09 (step @p539 :rule refl :args (@t201)) 16.83/17.09 (step @p540 :rule cong :premises (@p539 @p538) :args ((= @t201 @t202))) 16.83/17.09 (step @p541 :rule trans :premises (@p540 @p535)) 16.83/17.09 (step @p542 :rule eq-symm :args (@t202 @t201)) 16.83/17.09 (step @p543 :rule trans :premises (@p542 @p541)) 16.83/17.09 (step @p544 :rule refl :args (@t200)) 16.83/17.09 (step @p545 :rule ho_cong :premises (@p146 @p544)) 16.83/17.09 (step @p546 :rule cong :premises (@p545 @p539) :args ((= @t203 @t201))) 16.83/17.09 (step @p547 :rule trans :premises (@p546 @p543)) 16.83/17.09 (step @p548 :rule true_elim :premises (@p547)) 16.83/17.09 (step @p549 :rule refl :args (@t204)) 16.83/17.09 (step @p550 :rule cong :premises (@p549 @p548) :args (@t205)) 16.83/17.09 (step @p551 :rule cong :premises (@p550) :args (@t206)) 16.83/17.09 (step @p552 :rule refl :args (@t132)) 16.83/17.09 (step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t207)) 16.83/17.09 ; trust TRUST THEORY_LEMMA 16.83/17.09 (step @p554 :rule trust :premises () :args (@t207)) 16.83/17.09 (step @p555 :rule eq_resolve :premises (@p554 @p553)) 16.83/17.09 (step @p556 :rule cnf_equiv_neg1 :args (@t135)) 16.83/17.09 (step @p557 :rule reordering :premises (@p556) :args ((or @t134 @t131 @t135))) 16.83/17.09 (step @p558 :rule refl :args (@t214)) 16.83/17.09 (step @p559 :rule bool-double-not-elim :args (@t133)) 16.83/17.09 (step @p560 :rule nary_cong :premises (@p559 @p558) :args ((or (not @t215) @t214))) 16.83/17.09 (step @p561 :rule eq-symm :args (@t211 @t212)) 16.83/17.09 (step @p562 :rule refl :args (@t212)) 16.83/17.09 (step @p563 :rule eq-symm :args (@t208 @t54)) 16.83/17.09 (step @p564 :rule eq-symm :args (@t208 @t52)) 16.83/17.09 (step @p565 :rule nary_cong :premises (@p564 @p563) :args (@t216)) 16.83/17.09 (step @p566 :rule cong :premises (@p565 @p562) :args (@t217)) 16.83/17.09 (step @p567 :rule trans :premises (@p566 @p561)) 16.83/17.09 (step @p568 :rule cong :premises (@p567) :args (@t218)) 16.83/17.09 (step @p569 :rule refl :args (@t215)) 16.83/17.09 (step @p570 :rule cong :premises (@p569 @p568) :args ((=> @t215 @t218))) 16.83/17.09 (assume-push @p1460 @t215) 16.83/17.09 (step @p572 :rule skolemize :premises (@p1460)) 16.83/17.09 (step-pop @p1460 :rule scope :premises (@p572)) 16.83/17.09 (step @p573 :rule process_scope :premises (@p1460) :args (@t218)) 16.83/17.09 (step @p575 :rule eq_resolve :premises (@p573 @p570)) 16.83/17.09 (step @p576 :rule implies_elim :premises (@p575)) 16.83/17.09 (step @p577 :rule eq_resolve :premises (@p576 @p560)) 16.83/17.09 (step @p578 :rule cnf_equiv_neg2 :args (@t213)) 16.83/17.09 (step @p579 :rule cnf_equiv_pos1 :args (@t220)) 16.83/17.09 (step @p580 :rule reordering :premises (@p579) :args ((or @t222 @t219 @t221))) 16.83/17.09 (step @p581 :rule cnf_or_neg :args (@t211 0)) 16.83/17.09 (assume-push @p1462 @t53) 16.83/17.09 (assume-push @p1463 @t219) 16.83/17.09 (assume-push @p1464 @t219) 16.83/17.09 (assume-push @p1465 @t53) 16.83/17.09 (step @p586 :rule symm :premises (@p1462)) 16.83/17.09 (step @p587 :rule trans :premises (@p586 @p1463)) 16.83/17.09 (step-pop @p1465 :rule scope :premises (@p587)) 16.83/17.09 (step-pop @p1466 :rule scope :premises (@p1465)) 16.83/17.09 (step @p588 :rule process_scope :premises (@p1466) :args (@t210)) 16.83/17.09 (step @p591 :rule and_intro :premises (@p1463 @p1462)) 16.83/17.09 (step @p592 :rule modus_ponens :premises (@p591 @p588)) 16.83/17.09 (step-pop @p1467 :rule scope :premises (@p592)) 16.83/17.09 (step-pop @p1468 :rule scope :premises (@p1467)) 16.83/17.09 (step @p593 :rule process_scope :premises (@p1468) :args (@t210)) 16.83/17.09 (step @p596 :rule implies_elim :premises (@p593)) 16.83/17.09 (step @p597 :rule cnf_and_neg :args (@t223)) 16.83/17.09 (step @p598 :rule resolution :premises (@p597 @p596) :args (true @t223)) 16.83/17.09 (step @p599 :rule reordering :premises (@p598) :args ((or @t174 @t210 @t224))) 16.83/17.09 (step @p600 :rule chain_resolution :premises (@p599 @p581 @p580 @p578) :args ((@list true false true) (@list @t210 @t219 @t211))) 16.83/17.09 (step @p601 :rule factoring :premises (@p600)) 16.83/17.09 (step @p602 :rule reordering :premises (@p601) :args ((or @t174 @t213 @t222 @t221))) 16.83/17.09 (step @p603 :rule cnf_equiv_neg1 :args (@t213)) 16.83/17.09 (step @p604 :rule reordering :premises (@p603) :args ((or @t212 @t211 @t213))) 16.83/17.09 (step @p605 :rule cnf_equiv_pos2 :args (@t227)) 16.83/17.09 (step @p606 :rule reordering :premises (@p605) :args ((or @t212 @t229 @t228))) 16.83/17.09 (step @p607 :rule cnf_equiv_pos2 :args (@t220)) 16.83/17.09 (step @p608 :rule reordering :premises (@p607) :args ((or @t212 @t224 @t221))) 16.83/17.09 (step @p609 :rule cnf_or_neg :args (@t226 0)) 16.83/17.09 (step @p610 :rule refl :args (@t230)) 16.83/17.09 (step @p611 :rule bool-double-not-elim :args (@t219)) 16.83/17.09 (step @p612 :rule nary_cong :premises (@p357 @p611 @p610) :args ((or @t174 (not @t224) @t230))) 16.83/17.09 (assume-push @p1470 @t53) 16.83/17.09 (assume-push @p1471 @t224) 16.83/17.09 (assume-push @p1472 @t224) 16.83/17.09 (assume-push @p1473 @t53) 16.83/17.09 (step @p617 :rule false_intro :premises (@p1471)) 16.83/17.09 (step @p618 :rule refl :args (@t208)) 16.83/17.09 (step @p619 :rule symm :premises (@p1470)) 16.83/17.09 (step @p620 :rule cong :premises (@p619 @p618) :args (@t210)) 16.83/17.09 (step @p621 :rule trans :premises (@p620 @p617)) 16.83/17.09 (step @p622 :rule false_elim :premises (@p621)) 16.83/17.09 (step-pop @p1473 :rule scope :premises (@p622)) 16.83/17.09 (step-pop @p1474 :rule scope :premises (@p1473)) 16.83/17.09 (step @p623 :rule process_scope :premises (@p1474) :args (@t230)) 16.83/17.09 (step @p626 :rule and_intro :premises (@p1471 @p1470)) 16.83/17.09 (step @p627 :rule modus_ponens :premises (@p626 @p623)) 16.83/17.09 (step-pop @p1475 :rule scope :premises (@p627)) 16.83/17.09 (step-pop @p1476 :rule scope :premises (@p1475)) 16.83/17.09 (step @p628 :rule process_scope :premises (@p1476) :args (@t230)) 16.83/17.09 (step @p631 :rule implies_elim :premises (@p628)) 16.83/17.09 (step @p632 :rule cnf_and_neg :args (@t231)) 16.83/17.09 (step @p633 :rule resolution :premises (@p632 @p631) :args (true @t231)) 16.83/17.09 (step @p634 :rule eq_resolve :premises (@p633 @p612)) 16.83/17.09 (step @p635 :rule reordering :premises (@p634) :args ((or @t174 @t230 @t219))) 16.83/17.09 (step @p636 :rule refl :args (@t232)) 16.83/17.09 (step @p637 :rule bool-double-not-elim :args (@t225)) 16.83/17.09 (step @p638 :rule nary_cong :premises (@p331 @p637 @p636) :args ((or @t170 (not @t233) @t232))) 16.83/17.09 (assume-push @p1478 @t56) 16.83/17.09 (assume-push @p1479 @t233) 16.83/17.09 (assume-push @p1480 @t233) 16.83/17.09 (assume-push @p1481 @t56) 16.83/17.09 (step @p643 :rule false_intro :premises (@p1479)) 16.83/17.09 (step @p618 :rule refl :args (@t208)) 16.83/17.09 (step @p644 :rule symm :premises (@p1478)) 16.83/17.09 (step @p645 :rule cong :premises (@p644 @p618) :args (@t209)) 16.83/17.09 (step @p646 :rule trans :premises (@p645 @p643)) 16.83/17.09 (step @p647 :rule false_elim :premises (@p646)) 16.83/17.09 (step-pop @p1481 :rule scope :premises (@p647)) 16.83/17.09 (step-pop @p1482 :rule scope :premises (@p1481)) 16.83/17.09 (step @p648 :rule process_scope :premises (@p1482) :args (@t232)) 16.83/17.09 (step @p651 :rule and_intro :premises (@p1479 @p1478)) 16.83/17.09 (step @p652 :rule modus_ponens :premises (@p651 @p648)) 16.83/17.09 (step-pop @p1483 :rule scope :premises (@p652)) 16.83/17.09 (step-pop @p1484 :rule scope :premises (@p1483)) 16.83/17.09 (step @p653 :rule process_scope :premises (@p1484) :args (@t232)) 16.83/17.09 (step @p656 :rule implies_elim :premises (@p653)) 16.83/17.09 (step @p657 :rule cnf_and_neg :args (@t234)) 16.83/17.09 (step @p658 :rule resolution :premises (@p657 @p656) :args (true @t234)) 16.91/17.09 (step @p659 :rule eq_resolve :premises (@p658 @p638)) 16.91/17.09 (step @p660 :rule reordering :premises (@p659) :args ((or @t170 @t232 @t225))) 16.91/17.09 (step @p661 :rule cnf_or_pos :args (@t211)) 16.91/17.09 (step @p662 :rule reordering :premises (@p661) :args ((or @t210 @t209 (not @t211)))) 16.91/17.09 (step @p663 :rule chain_resolution :premises (@p662 @p660 @p635 @p609 @p608 @p606 @p604) :args ((@list true true true true true false) (@list @t209 @t210 @t225 @t219 @t226 @t211))) 16.91/17.09 (step @p664 :rule factoring :premises (@p663)) 16.91/17.09 (step @p665 :rule chain_resolution :premises (@p664 @p602) :args (@t97 (@list @t212))) 16.91/17.09 (step @p666 :rule factoring :premises (@p665)) 16.91/17.09 (step @p667 :rule chain_resolution :premises (@p666 @p577 @p450) :args (@t235 (@list @t213 @t133))) 16.91/17.09 (step @p668 :rule factoring :premises (@p667)) 16.91/17.09 (step @p669 :rule cnf_equiv_pos1 :args (@t227)) 16.91/17.09 (step @p670 :rule reordering :premises (@p669) :args ((or @t222 @t226 @t228))) 16.91/17.09 (step @p671 :rule cnf_equiv_neg2 :args (@t220)) 16.91/17.09 (step @p672 :rule reordering :premises (@p671) :args ((or @t222 @t220 @t224))) 16.91/17.09 (step @p673 :rule cnf_or_neg :args (@t211 1)) 16.91/17.09 (step @p674 :rule cnf_or_pos :args (@t226)) 16.91/17.09 (step @p675 :rule reordering :premises (@p674) :args ((or @t219 @t225 @t229))) 16.91/17.09 (step @p676 :rule refl :args (@t233)) 16.91/17.09 (step @p677 :rule bool-double-not-elim :args (@t209)) 16.91/17.09 (step @p678 :rule nary_cong :premises (@p331 @p677 @p676) :args ((or @t170 (not @t232) @t233))) 16.91/17.09 (assume-push @p1486 @t56) 16.91/17.09 (assume-push @p1487 @t232) 16.91/17.09 (assume-push @p1488 @t232) 16.91/17.09 (assume-push @p1489 @t56) 16.91/17.09 (step @p683 :rule false_intro :premises (@p1487)) 16.91/17.09 (step @p618 :rule refl :args (@t208)) 16.91/17.09 (step @p684 :rule cong :premises (@p1486 @p618) :args (@t225)) 16.91/17.09 (step @p685 :rule trans :premises (@p684 @p683)) 16.91/17.09 (step @p686 :rule false_elim :premises (@p685)) 16.91/17.09 (step-pop @p1489 :rule scope :premises (@p686)) 16.91/17.09 (step-pop @p1490 :rule scope :premises (@p1489)) 16.91/17.09 (step @p687 :rule process_scope :premises (@p1490) :args (@t233)) 16.91/17.09 (step @p690 :rule and_intro :premises (@p1487 @p1486)) 16.91/17.09 (step @p691 :rule modus_ponens :premises (@p690 @p687)) 16.91/17.09 (step-pop @p1491 :rule scope :premises (@p691)) 16.91/17.09 (step-pop @p1492 :rule scope :premises (@p1491)) 16.91/17.09 (step @p692 :rule process_scope :premises (@p1492) :args (@t233)) 16.91/17.09 (step @p695 :rule implies_elim :premises (@p692)) 16.91/17.09 (step @p696 :rule cnf_and_neg :args (@t236)) 16.91/17.09 (step @p697 :rule resolution :premises (@p696 @p695) :args (true @t236)) 16.91/17.09 (step @p698 :rule eq_resolve :premises (@p697 @p678)) 16.91/17.09 (step @p699 :rule chain_resolution :premises (@p698 @p675 @p673 @p672 @p670 @p578) :args ((@list false true true false true) (@list @t225 @t209 @t219 @t226 @t211))) 16.91/17.09 (step @p700 :rule factoring :premises (@p699)) 16.91/17.09 (step @p701 :rule reordering :premises (@p700) :args ((or @t170 @t213 @t222 @t220 @t228))) 16.91/17.09 (step @p702 :rule cnf_equiv_neg1 :args (@t220)) 16.91/17.09 (step @p703 :rule reordering :premises (@p702) :args ((or @t212 @t219 @t220))) 16.91/17.09 (step @p704 :rule cnf_or_neg :args (@t226 1)) 16.91/17.09 (step @p705 :rule reordering :premises (@p704) :args ((or @t224 @t226))) 16.91/17.09 (step @p706 :rule chain_resolution :premises (@p705 @p606 @p703) :args (@t180 (@list @t226 @t219))) 16.91/17.09 (step @p707 :rule factoring :premises (@p706)) 16.91/17.09 (step @p708 :rule chain_resolution :premises (@p707 @p701 @p577 @p450) :args (@t237 (@list @t212 @t213 @t133))) 16.91/17.09 (step @p709 :rule factoring :premises (@p708)) 16.91/17.09 (step @p710 :rule chain_resolution :premises (@p709 @p668) :args (@t97 (@list @t220))) 16.91/17.09 (step @p711 :rule factoring :premises (@p710)) 16.91/17.09 (step @p712 :rule reordering :premises (@p711) :args ((or @t170 @t174 @t228))) 16.91/17.09 (step @p713 :rule eq-symm :args (@t208 @t34)) 16.91/17.09 (step @p714 :rule eq-symm :args (@t208 @t55)) 16.91/17.09 (step @p715 :rule nary_cong :premises (@p714 @p713) :args (@t238)) 16.91/17.09 (step @p716 :rule cong :premises (@p562 @p715) :args ((= @t212 @t238))) 16.91/17.09 (step @p717 :rule eq-symm :args (@t238 @t212)) 16.91/17.09 (step @p718 :rule trans :premises (@p717 @p716)) 16.91/17.09 (step @p719 :rule cong :premises (@p262 @p718) :args ((=> @t130 @t239))) 16.91/17.09 (assume-push @p1494 @t130) 16.91/17.09 (step @p721 :rule instantiate :premises (@p1494) :args ((@list @t208))) 16.91/17.09 (step-pop @p1494 :rule scope :premises (@p721)) 16.91/17.09 (step @p722 :rule process_scope :premises (@p1494) :args (@t239)) 16.91/17.09 (step @p724 :rule eq_resolve :premises (@p722 @p719)) 16.91/17.09 (step @p725 :rule implies_elim :premises (@p724)) 16.91/17.09 (step @p726 :rule cnf_or_pos :args (@t131)) 16.91/17.09 (step @p727 :rule reordering :premises (@p726) :args ((or @t130 @t128 (not @t131)))) 16.91/17.09 ; trust TRUST THEORY_LEMMA 16.91/17.09 (step @p728 :rule trust :premises () :args ((=> @t128 @t241))) 16.91/17.09 (step @p729 :rule implies_elim :premises (@p728)) 16.91/17.09 (step @p730 :rule cnf_equiv_neg2 :args (@t242)) 16.91/17.09 (step @p731 :rule cnf_equiv_pos1 :args (@t241)) 16.91/17.09 (step @p732 :rule reordering :premises (@p731) :args ((or @t244 @t240 @t243))) 16.91/17.09 (step @p733 :rule refl :args (@t245)) 16.91/17.09 (step @p734 :rule bool-double-not-elim :args (@t201)) 16.91/17.09 (step @p735 :rule nary_cong :premises (@p357 @p734 @p733) :args ((or @t174 (not @t246) @t245))) 16.91/17.09 (assume-push @p1496 @t53) 16.91/17.09 (assume-push @p1497 @t246) 16.91/17.09 (assume-push @p1498 @t246) 16.91/17.09 (assume-push @p1499 @t53) 16.91/17.09 (step @p740 :rule false_intro :premises (@p1497)) 16.91/17.09 (step @p741 :rule cong :premises (@p1496 @p544) :args (@t240)) 16.91/17.09 (step @p742 :rule trans :premises (@p741 @p740)) 16.91/17.09 (step @p743 :rule false_elim :premises (@p742)) 16.91/17.09 (step-pop @p1499 :rule scope :premises (@p743)) 16.91/17.09 (step-pop @p1500 :rule scope :premises (@p1499)) 16.91/17.09 (step @p744 :rule process_scope :premises (@p1500) :args (@t245)) 16.91/17.09 (step @p747 :rule and_intro :premises (@p1497 @p1496)) 16.91/17.09 (step @p748 :rule modus_ponens :premises (@p747 @p744)) 16.91/17.09 (step-pop @p1501 :rule scope :premises (@p748)) 16.91/17.09 (step-pop @p1502 :rule scope :premises (@p1501)) 16.91/17.09 (step @p749 :rule process_scope :premises (@p1502) :args (@t245)) 16.91/17.09 (step @p752 :rule implies_elim :premises (@p749)) 16.91/17.09 (step @p753 :rule cnf_and_neg :args (@t247)) 16.91/17.09 (step @p754 :rule resolution :premises (@p753 @p752) :args (true @t247)) 16.91/17.09 (step @p755 :rule eq_resolve :premises (@p754 @p735)) 16.91/17.09 (step @p756 :rule chain_resolution :premises (@p755 @p732 @p730) :args (@t197 @t248)) 16.91/17.09 (step @p757 :rule factoring :premises (@p756)) 16.91/17.09 (step @p758 :rule reordering :premises (@p757) :args ((or @t174 @t242 @t244 @t243))) 16.91/17.09 (step @p759 :rule cnf_equiv_neg1 :args (@t242)) 16.91/17.09 (step @p760 :rule reordering :premises (@p759) :args ((or @t204 @t201 @t242))) 16.91/17.09 (step @p761 :rule cnf_equiv_pos2 :args (@t241)) 16.91/17.09 (step @p762 :rule reordering :premises (@p761) :args ((or @t204 @t245 @t243))) 16.91/17.09 (assume-push @p1504 @t53) 16.91/17.09 (assume-push @p1505 @t201) 16.91/17.09 (assume-push @p1506 @t201) 16.91/17.09 (assume-push @p1507 @t53) 16.91/17.09 (step @p767 :rule trans :premises (@p1504 @p1505)) 16.91/17.09 (step-pop @p1507 :rule scope :premises (@p767)) 16.91/17.09 (step-pop @p1508 :rule scope :premises (@p1507)) 16.91/17.09 (step @p768 :rule process_scope :premises (@p1508) :args (@t240)) 16.91/17.09 (step @p771 :rule and_intro :premises (@p1505 @p1504)) 16.91/17.09 (step @p772 :rule modus_ponens :premises (@p771 @p768)) 16.91/17.09 (step-pop @p1509 :rule scope :premises (@p772)) 16.91/17.09 (step-pop @p1510 :rule scope :premises (@p1509)) 16.91/17.09 (step @p773 :rule process_scope :premises (@p1510) :args (@t240)) 16.91/17.09 (step @p776 :rule implies_elim :premises (@p773)) 16.91/17.09 (step @p777 :rule cnf_and_neg :args (@t249)) 16.91/17.09 (step @p778 :rule resolution :premises (@p777 @p776) :args (true @t249)) 16.91/17.09 (step @p779 :rule chain_resolution :premises (@p778 @p762 @p760) :args (@t180 @t248)) 16.91/17.09 (step @p780 :rule factoring :premises (@p779)) 16.91/17.09 (step @p781 :rule chain_resolution :premises (@p780 @p758) :args (@t97 (@list @t204))) 16.91/17.09 (step @p782 :rule factoring :premises (@p781)) 16.91/17.09 (step @p783 :rule chain_resolution :premises (@p782 @p729 @p727 @p725 @p712 @p557 @p555 @p534) :args ((@list false false true true false true true) (@list @t241 @t128 @t130 @t227 @t131 @t242 @t134))) 16.91/17.09 (step @p784 :rule factoring :premises (@p783)) 16.91/17.09 (step @p785 :rule chain_resolution :premises (@p784 @p532 @p450) :args (@t235 (@list @t132 @t133))) 16.91/17.09 (step @p786 :rule factoring :premises (@p785)) 16.91/17.09 (step @p787 :rule chain_resolution :premises (@p786 @p287 @p248 @p136 @p247) :args ((@list true true true false) (@list @t135 @t76 @t77 @t57))) 16.91/17.09 (step @p788 :rule factoring :premises (@p787)) 16.91/17.09 (step @p789 :rule reordering :premises (@p788) :args ((or @t170 @t174))) 16.91/17.09 (step @p790 :rule chain_resolution :premises (@p789 @p246) :args (@t117 (@list @t53))) 16.91/17.09 (step @p791 :rule refl :args (@t251)) 16.91/17.09 (step @p792 :rule refl :args (@t253)) 16.91/17.09 (step @p793 :rule bool-double-not-elim :args (@t56)) 16.91/17.09 (step @p794 :rule nary_cong :premises (@p793 @p792 @p791) :args ((or @t254 @t253 @t251))) 16.91/17.09 (assume-push @p1512 @t170) 16.91/17.09 (assume-push @p1513 @t252) 16.91/17.09 (assume-push @p1514 @t170) 16.91/17.09 (assume-push @p1515 @t252) 16.91/17.09 (step @p799 :rule false_intro :premises (@p1512)) 16.91/17.09 (step @p800 :rule refl :args (@t54)) 16.91/17.09 (step @p801 :rule cong :premises (@p1513 @p800) :args (@t250)) 16.91/17.09 (step @p802 :rule trans :premises (@p801 @p799)) 16.91/17.09 (step @p803 :rule false_elim :premises (@p802)) 16.91/17.09 (step-pop @p1515 :rule scope :premises (@p803)) 16.91/17.09 (step-pop @p1516 :rule scope :premises (@p1515)) 16.91/17.09 (step @p804 :rule process_scope :premises (@p1516) :args (@t251)) 16.91/17.09 (step @p807 :rule and_intro :premises (@p1512 @p1513)) 16.91/17.09 (step @p808 :rule modus_ponens :premises (@p807 @p804)) 16.91/17.09 (step-pop @p1517 :rule scope :premises (@p808)) 16.91/17.09 (step-pop @p1518 :rule scope :premises (@p1517)) 16.91/17.09 (step @p809 :rule process_scope :premises (@p1518) :args (@t251)) 16.91/17.09 (step @p812 :rule implies_elim :premises (@p809)) 16.91/17.09 (step @p813 :rule cnf_and_neg :args (@t255)) 16.91/17.09 (step @p814 :rule resolution :premises (@p813 @p812) :args (true @t255)) 16.91/17.09 (step @p815 :rule eq_resolve :premises (@p814 @p794)) 16.91/17.09 (step @p816 :rule reordering :premises (@p815) :args ((or @t56 @t251 @t253))) 16.91/17.09 (step @p817 :rule bool-eq-true :args (@t250)) 16.91/17.09 (step @p818 :rule absorb :args ((= (or @t56 true) true))) 16.91/17.09 (step @p819 :rule eq-refl :args (@t54)) 16.91/17.09 (step @p820 :rule eq-symm :args (@t54 @t55)) 16.91/17.09 (step @p821 :rule nary_cong :premises (@p820 @p819) :args (@t258)) 16.91/17.09 (step @p822 :rule trans :premises (@p821 @p818)) 16.91/17.09 (step @p823 :rule eq-symm :args (@t54 @t34)) 16.91/17.09 (step @p824 :rule cong :premises (@p823 @p822) :args (@t260)) 16.91/17.09 (step @p825 :rule trans :premises (@p824 @p817)) 16.91/17.09 (step @p826 :rule refl :args (@t262)) 16.91/17.09 (step @p827 :rule cong :premises (@p826 @p825) :args ((=> @t262 @t260))) 16.91/17.09 (assume-push @p1520 @t262) 16.91/17.09 (step @p829 :rule instantiate :premises (@p1520) :args (@t263)) 16.91/17.09 (step-pop @p1520 :rule scope :premises (@p829)) 16.91/17.09 (step @p830 :rule process_scope :premises (@p1520) :args (@t260)) 16.91/17.09 (step @p832 :rule eq_resolve :premises (@p830 @p827)) 16.91/17.09 (step @p833 :rule implies_elim :premises (@p832)) 16.91/17.09 (step @p834 :rule reordering :premises (@p833) :args ((or @t250 (not @t262)))) 16.91/17.09 ; trust TRUST THEORY_LEMMA 16.91/17.09 (step @p835 :rule trust :premises () :args ((=> @t268 @t262))) 16.91/17.09 (step @p836 :rule implies_elim :premises (@p835)) 16.91/17.09 (step @p837 :rule cnf_or_pos :args (@t269)) 16.91/17.09 (step @p838 :rule reordering :premises (@p837) :args ((or @t56 @t250 (not @t269)))) 16.91/17.09 (step @p839 :rule bool-eq-true :args (@t269)) 16.91/17.09 (step @p840 :rule nary_cong :premises (@p820 @p823) :args (@t270)) 16.91/17.09 (step @p841 :rule cong :premises (@p840 @p822) :args (@t271)) 16.91/17.09 (step @p842 :rule trans :premises (@p841 @p839)) 16.91/17.09 (step @p843 :rule refl :args (@t273)) 16.91/17.09 (step @p844 :rule cong :premises (@p843 @p842) :args ((=> @t273 @t271))) 16.91/17.09 (assume-push @p1522 @t273) 16.91/17.09 (step @p846 :rule instantiate :premises (@p1522) :args (@t263)) 16.91/17.09 (step-pop @p1522 :rule scope :premises (@p846)) 16.91/17.09 (step @p847 :rule process_scope :premises (@p1522) :args (@t271)) 16.91/17.09 (step @p849 :rule eq_resolve :premises (@p847 @p844)) 16.91/17.09 (step @p850 :rule implies_elim :premises (@p849)) 16.91/17.09 (step @p851 :rule reordering :premises (@p850) :args ((or @t269 (not @t273)))) 16.91/17.09 (step @p852 :rule cnf_or_pos :args (@t274)) 16.91/17.09 (step @p853 :rule reordering :premises (@p852) :args ((or @t273 @t268 (not @t274)))) 16.91/17.09 (step @p854 :rule cnf_and_pos :args (@t57 0)) 16.91/17.09 (step @p855 :rule reordering :premises (@p854) :args ((or @t56 @t58))) 16.91/17.09 (step @p856 :rule eq-symm :args (@t274 @t276)) 16.91/17.09 (step @p857 :rule eq-refl :args (@t266)) 16.91/17.09 (step @p858 :rule skolem_intro :args (@t267)) 16.91/17.09 (step @p859 :rule refl :args (@t266)) 16.91/17.09 (step @p860 :rule cong :premises (@p859 @p858) :args ((= @t266 @t267))) 16.91/17.09 (step @p861 :rule trans :premises (@p860 @p857)) 16.91/17.09 (step @p862 :rule true_elim :premises (@p861)) 16.91/17.09 (step @p863 :rule cong :premises (@p150 @p862) :args (@t277)) 16.91/17.09 (step @p864 :rule refl :args (@t275)) 16.91/17.09 (step @p865 :rule nary_cong :premises (@p864 @p863) :args (@t278)) 16.91/17.09 (step @p866 :rule cong :premises (@p157 @p862) :args (@t279)) 16.91/17.09 (step @p867 :rule nary_cong :premises (@p843 @p866) :args (@t280)) 16.91/17.09 (step @p868 :rule cong :premises (@p867 @p865) :args (@t281)) 16.91/17.09 (step @p869 :rule trans :premises (@p868 @p856)) 16.91/17.09 (step @p870 :rule cong :premises (@p163 @p869) :args ((=> @t76 @t281))) 16.91/17.09 (step @p871 :rule eq-symm :args (@t266 @t73)) 16.91/17.09 (step @p872 :rule nary_cong :premises (@p115 @p104) :args (@t282)) 16.91/17.09 (step @p873 :rule beta-reduce :args ((= @t283 @t282))) 16.91/17.09 (step @p874 :rule trans :premises (@p873 @p872)) 16.91/17.09 (step @p875 :rule cong :premises (@p172 @p874) :args ((= @t65 @t283))) 16.91/17.09 (step @p876 :rule eq-symm :args (@t283 @t65)) 16.91/17.09 (step @p877 :rule trans :premises (@p876 @p875)) 16.91/17.09 (step @p878 :rule cong :premises (@p877) :args (@t284)) 16.91/17.09 (step @p879 :rule nary_cong :premises (@p878 @p871) :args (@t285)) 16.91/17.09 (step @p880 :rule eq-symm :args (@t266 @t40)) 16.91/17.09 (step @p881 :rule cong :premises (@p183 @p874) :args ((= @t75 @t283))) 16.91/17.09 (step @p882 :rule eq-symm :args (@t283 @t75)) 16.91/17.09 (step @p883 :rule trans :premises (@p882 @p881)) 16.91/17.09 (step @p884 :rule cong :premises (@p883) :args (@t286)) 16.91/17.09 (step @p885 :rule nary_cong :premises (@p884 @p880) :args (@t287)) 16.91/17.09 (step @p886 :rule cong :premises (@p885 @p879) :args (@t288)) 16.91/17.09 (step @p887 :rule cong :premises (@p163 @p886) :args ((=> @t76 @t288))) 16.91/17.09 (assume-push @p1524 @t76) 16.91/17.09 (step @p889 :rule instantiate :premises (@p1524) :args ((@list @t266))) 16.91/17.09 (step-pop @p1524 :rule scope :premises (@p889)) 16.91/17.09 (step @p890 :rule process_scope :premises (@p1524) :args (@t288)) 16.91/17.09 (step @p892 :rule eq_resolve :premises (@p890 @p887)) 16.91/17.09 (step @p893 :rule eq_resolve :premises (@p892 @p870)) 16.91/17.09 (step @p894 :rule implies_elim :premises (@p893)) 16.91/17.09 (step @p895 :rule cnf_equiv_pos1 :args (@t289)) 16.91/17.09 (step @p896 :rule reordering :premises (@p895) :args ((or @t274 (not @t276) (not @t289)))) 16.91/17.09 (step @p897 :rule cnf_or_neg :args (@t276 0)) 16.91/17.09 (step @p898 :rule refl :args (@t297)) 16.91/17.09 (step @p899 :rule bool-double-not-elim :args (@t275)) 16.91/17.09 (step @p900 :rule nary_cong :premises (@p899 @p898) :args ((or (not @t298) @t297))) 16.91/17.09 (step @p901 :rule eq-symm :args (@t290 @t54)) 16.91/17.09 (step @p902 :rule eq-symm :args (@t290 @t55)) 16.91/17.09 (step @p903 :rule nary_cong :premises (@p902 @p901) :args (@t300)) 16.91/17.09 (step @p904 :rule eq-symm :args (@t290 @t52)) 16.91/17.09 (step @p905 :rule nary_cong :premises (@p904 @p901) :args (@t301)) 16.91/17.09 (step @p906 :rule cong :premises (@p905 @p903) :args (@t302)) 16.91/17.09 (step @p907 :rule cong :premises (@p906) :args (@t303)) 16.91/17.09 (step @p908 :rule refl :args (@t298)) 16.91/17.09 (step @p909 :rule cong :premises (@p908 @p907) :args ((=> @t298 @t303))) 16.91/17.09 (assume-push @p1526 @t298) 16.91/17.09 (step @p911 :rule skolemize :premises (@p1526)) 16.91/17.09 (step-pop @p1526 :rule scope :premises (@p911)) 16.91/17.09 (step @p912 :rule process_scope :premises (@p1526) :args (@t303)) 16.91/17.09 (step @p914 :rule eq_resolve :premises (@p912 @p909)) 16.91/17.09 (step @p915 :rule implies_elim :premises (@p914)) 16.91/17.09 (step @p916 :rule eq_resolve :premises (@p915 @p900)) 16.91/17.09 (step @p917 :rule cnf_or_neg :args (@t295 0)) 16.91/17.09 (step @p918 :rule cnf_equiv_neg2 :args (@t296)) 16.91/17.09 (step @p919 :rule cnf_or_neg :args (@t293 0)) 16.91/17.09 (assume-push @p1528 @t53) 16.91/17.09 (assume-push @p1529 @t252) 16.91/17.09 (assume-push @p1530 @t294) 16.91/17.09 (assume-push @p1531 @t294) 16.91/17.09 (assume-push @p1532 @t53) 16.91/17.09 (assume-push @p1533 @t252) 16.91/17.09 (step @p926 :rule symm :premises (@p1529)) 16.91/17.09 (step @p927 :rule trans :premises (@p926 @p1528 @p1530)) 16.91/17.09 (step-pop @p1533 :rule scope :premises (@p927)) 16.91/17.09 (step-pop @p1534 :rule scope :premises (@p1533)) 16.91/17.09 (step-pop @p1535 :rule scope :premises (@p1534)) 16.91/17.09 (step @p928 :rule process_scope :premises (@p1535) :args (@t292)) 16.91/17.09 (step @p932 :rule and_intro :premises (@p1530 @p1528 @p1529)) 16.91/17.09 (step @p933 :rule modus_ponens :premises (@p932 @p928)) 16.91/17.09 (step-pop @p1536 :rule scope :premises (@p933)) 16.91/17.09 (step-pop @p1537 :rule scope :premises (@p1536)) 16.91/17.09 (step-pop @p1538 :rule scope :premises (@p1537)) 16.91/17.09 (step @p934 :rule process_scope :premises (@p1538) :args (@t292)) 16.91/17.09 (step @p938 :rule implies_elim :premises (@p934)) 16.91/17.09 (step @p939 :rule cnf_and_neg :args (@t304)) 16.91/17.09 (step @p940 :rule resolution :premises (@p939 @p938) :args (true @t304)) 16.91/17.09 (step @p941 :rule reordering :premises (@p940) :args ((or @t174 @t253 @t292 @t305))) 16.91/17.09 (step @p942 :rule chain_resolution :premises (@p941 @p246 @p919 @p918 @p917 @p916 @p897 @p896 @p894 @p138 @p135 @p96 @p855 @p853 @p851 @p838 @p836 @p834) :args ((@list false true true false true true true false false true true true true true true true true) (@list @t53 @t292 @t293 @t295 @t296 @t275 @t276 @t289 @t76 @t77 @t33 @t57 @t274 @t273 @t269 @t268 @t262))) 16.91/17.09 (step @p943 :rule factoring :premises (@p942)) 16.91/17.09 (step @p944 :rule chain_resolution :premises (@p943 @p816) :args (@t97 @t306)) 16.91/17.09 (step @p945 :rule factoring :premises (@p944)) 16.91/17.09 (step @p946 :rule chain_resolution :premises (@p945 @p790) :args (@t97 @t307)) 16.91/17.09 (step @p947 :rule chain_resolution :premises (@p855 @p790) :args (@t97 @t307)) 16.91/17.09 (step @p948 :rule chain_resolution :premises (@p138 @p947 @p136) :args (@t235 (@list @t57 @t77))) 16.91/17.09 (step @p949 :rule chain_resolution :premises (@p894 @p948) :args (@t117 @t308)) 16.91/17.09 (step @p950 :rule refl :args (@t309)) 16.91/17.09 (step @p951 :rule bool-double-not-elim :args (@t294)) 16.91/17.09 (step @p952 :rule nary_cong :premises (@p357 @p792 @p951 @p950) :args ((or @t174 @t253 (not @t305) @t309))) 16.91/17.09 (assume-push @p1540 @t53) 16.91/17.09 (assume-push @p1541 @t252) 16.91/17.09 (assume-push @p1542 @t305) 16.91/17.09 (assume-push @p1543 @t305) 16.91/17.09 (assume-push @p1544 @t53) 16.91/17.09 (assume-push @p1545 @t252) 16.91/17.09 (step @p959 :rule false_intro :premises (@p1542)) 16.91/17.09 (step @p960 :rule refl :args (@t290)) 16.91/17.09 (step @p961 :rule symm :premises (@p1541)) 16.91/17.09 (step @p962 :rule trans :premises (@p961 @p1540)) 16.91/17.09 (step @p963 :rule cong :premises (@p962 @p960) :args (@t292)) 16.91/17.09 (step @p964 :rule trans :premises (@p963 @p959)) 16.91/17.09 (step @p965 :rule false_elim :premises (@p964)) 16.91/17.09 (step-pop @p1545 :rule scope :premises (@p965)) 16.91/17.09 (step-pop @p1546 :rule scope :premises (@p1545)) 16.91/17.09 (step-pop @p1547 :rule scope :premises (@p1546)) 16.91/17.09 (step @p966 :rule process_scope :premises (@p1547) :args (@t309)) 16.91/17.09 (step @p970 :rule and_intro :premises (@p1542 @p1540 @p1541)) 16.91/17.09 (step @p971 :rule modus_ponens :premises (@p970 @p966)) 16.91/17.09 (step-pop @p1548 :rule scope :premises (@p971)) 16.91/17.09 (step-pop @p1549 :rule scope :premises (@p1548)) 16.91/17.09 (step-pop @p1550 :rule scope :premises (@p1549)) 16.91/17.09 (step @p972 :rule process_scope :premises (@p1550) :args (@t309)) 16.91/17.09 (step @p976 :rule implies_elim :premises (@p972)) 16.91/17.09 (step @p977 :rule cnf_and_neg :args (@t310)) 16.91/17.09 (step @p978 :rule resolution :premises (@p977 @p976) :args (true @t310)) 16.91/17.09 (step @p979 :rule eq_resolve :premises (@p978 @p952)) 16.91/17.09 (step @p980 :rule cnf_or_neg :args (@t295 1)) 16.91/17.09 (step @p981 :rule cnf_or_neg :args (@t293 1)) 16.91/17.09 (step @p982 :rule chain_resolution :premises (@p918 @p981 @p980) :args (@t311 @t312)) 16.91/17.09 (step @p983 :rule factoring :premises (@p982)) 16.91/17.09 (step @p984 :rule cnf_or_pos :args (@t295)) 16.91/17.09 (step @p985 :rule reordering :premises (@p984) :args ((or @t294 @t291 (not @t295)))) 16.91/17.09 (step @p986 :rule cnf_or_pos :args (@t293)) 16.91/17.09 (step @p987 :rule reordering :premises (@p986) :args ((or @t291 @t292 (not @t293)))) 16.91/17.09 (step @p988 :rule cnf_equiv_neg1 :args (@t296)) 16.91/17.09 (step @p989 :rule reordering :premises (@p988) :args ((or @t295 @t293 @t296))) 16.91/17.09 (step @p990 :rule chain_resolution :premises (@p989 @p987 @p985) :args (@t235 @t312)) 16.91/17.09 (step @p991 :rule factoring :premises (@p990)) 16.91/17.09 (step @p992 :rule chain_resolution :premises (@p991 @p983 @p979 @p246) :args ((@list true true false) (@list @t291 @t292 @t53))) 16.91/17.09 (step @p993 :rule factoring :premises (@p992)) 16.91/17.09 (step @p994 :rule chain_resolution :premises (@p993 @p916 @p897 @p896 @p949 @p853 @p836 @p834 @p851 @p838 @p790) :args ((@list true true true false true true true true true true) (@list @t296 @t275 @t276 @t289 @t274 @t268 @t262 @t273 @t269 @t56))) 16.91/17.09 (step @p995 :rule factoring :premises (@p994)) 16.91/17.09 (step @p996 :rule chain_resolution :premises (@p995 @p816 @p790 @p946) :args (@t237 (@list @t250 @t56 @t294))) 16.91/17.09 (step @p997 :rule factoring :premises (@p996)) 16.91/17.09 (step @p998 :rule bool-eq-true :args (@t252)) 16.91/17.09 (step @p999 :rule absorb :args ((= (or true @t252) true))) 16.91/17.09 (step @p1000 :rule eq-symm :args (@t55 @t34)) 16.91/17.09 (step @p1001 :rule eq-refl :args (@t55)) 16.91/17.09 (step @p1002 :rule nary_cong :premises (@p1001 @p1000) :args (@t314)) 16.91/17.09 (step @p1003 :rule trans :premises (@p1002 @p999)) 16.91/17.09 (step @p1004 :rule cong :premises (@p1000 @p1003) :args (@t315)) 16.91/17.09 (step @p1005 :rule trans :premises (@p1004 @p998)) 16.91/17.09 (step @p1006 :rule cong :premises (@p159 @p1005) :args ((=> @t98 @t315))) 16.91/17.09 (assume-push @p1552 @t98) 16.91/17.09 (step @p1008 :rule instantiate :premises (@p1552) :args (@t316)) 16.91/17.09 (step-pop @p1552 :rule scope :premises (@p1008)) 16.91/17.09 (step @p1009 :rule process_scope :premises (@p1552) :args (@t315)) 16.91/17.09 (step @p1011 :rule eq_resolve :premises (@p1009 @p1006)) 16.91/17.09 (step @p1012 :rule implies_elim :premises (@p1011)) 16.91/17.09 (step @p1013 :rule chain_resolution :premises (@p1012 @p997) :args (@t97 (@list @t252))) 16.91/17.09 (step @p1014 :rule alpha_equiv :args (@t98 (@list @t7) (@list @t1))) 16.91/17.09 (step @p1015 :rule equiv_elim2 :premises (@p1014)) 16.91/17.09 (step @p1016 :rule chain_resolution :premises (@p1015 @p1013) :args (@t97 (@list @t98))) 16.91/17.09 ; trust TRUST THEORY_LEMMA 16.91/17.09 (step @p1017 :rule trust :premises () :args ((=> @t320 @t317))) 16.91/17.09 (step @p1018 :rule implies_elim :premises (@p1017)) 16.91/17.09 (step @p1019 :rule reordering :premises (@p1018) :args ((or @t317 @t321))) 16.91/17.09 (step @p1020 :rule chain_resolution :premises (@p1019 @p1016) :args (@t97 (@list @t317))) 16.91/17.09 (step @p1021 :rule eq-refl :args (@t318)) 16.91/17.09 (step @p1022 :rule skolem_intro :args (@t319)) 16.91/17.09 (step @p1023 :rule refl :args (@t318)) 16.91/17.09 (step @p1024 :rule cong :premises (@p1023 @p1022) :args ((= @t318 @t319))) 16.91/17.09 (step @p1025 :rule trans :premises (@p1024 @p1021)) 16.91/17.09 (step @p1026 :rule true_elim :premises (@p1025)) 16.91/17.09 (step @p1027 :rule cong :premises (@p150 @p1026) :args (@t322)) 16.91/17.09 (step @p1028 :rule refl :args (@t323)) 16.91/17.09 (step @p1029 :rule nary_cong :premises (@p1028 @p1027) :args (@t324)) 16.91/17.09 (step @p1030 :rule cong :premises (@p163 @p1029) :args ((=> @t76 @t324))) 16.91/17.09 (step @p1031 :rule bool-eq-true :args (@t324)) 16.91/17.09 (step @p1032 :rule eq-symm :args (true @t324)) 16.91/17.09 (step @p1033 :rule trans :premises (@p1032 @p1031)) 16.91/17.09 (step @p1034 :rule eq-symm :args (@t318 @t73)) 16.91/17.09 (step @p1035 :rule eq-symm :args (@t65 @t75)) 16.91/17.09 (step @p1036 :rule beta-reduce :args ((= @t325 @t90))) 16.91/17.09 (step @p1037 :rule trans :premises (@p1036 @p116)) 16.91/17.09 (step @p1038 :rule cong :premises (@p172 @p1037) :args ((= @t65 @t325))) 16.91/17.09 (step @p1039 :rule trans :premises (@p1038 @p1035)) 16.91/17.09 (step @p1040 :rule eq-symm :args (@t325 @t65)) 16.91/17.09 (step @p1041 :rule trans :premises (@p1040 @p1039)) 16.91/17.09 (step @p1042 :rule cong :premises (@p1041) :args (@t326)) 16.91/17.09 (step @p1043 :rule nary_cong :premises (@p1042 @p1034) :args (@t327)) 16.91/17.09 (step @p1044 :rule absorb :args ((= (or true (= @t40 @t318)) true))) 16.91/17.09 (step @p1045 :rule eq-symm :args (@t318 @t40)) 16.91/17.09 (step @p1046 :rule quant-unused-vars :args ((= (forall @t11 true) true))) 16.91/17.09 (step @p1047 :rule eq-refl :args (@t75)) 16.91/17.09 (step @p1048 :rule cong :premises (@p183 @p1037) :args ((= @t75 @t325))) 16.91/17.09 (step @p1049 :rule trans :premises (@p1048 @p1047)) 16.91/17.09 (step @p1050 :rule eq-symm :args (@t325 @t75)) 16.91/17.09 (step @p1051 :rule trans :premises (@p1050 @p1049)) 16.91/17.09 (step @p1052 :rule cong :premises (@p1051) :args (@t328)) 16.91/17.09 (step @p1053 :rule trans :premises (@p1052 @p1046)) 16.91/17.09 (step @p1054 :rule nary_cong :premises (@p1053 @p1045) :args (@t329)) 16.91/17.09 (step @p1055 :rule trans :premises (@p1054 @p1044)) 16.91/17.09 (step @p1056 :rule cong :premises (@p1055 @p1043) :args (@t330)) 16.91/17.09 (step @p1057 :rule trans :premises (@p1056 @p1033)) 16.91/17.09 (step @p1058 :rule cong :premises (@p163 @p1057) :args ((=> @t76 @t330))) 16.91/17.09 (assume-push @p1554 @t76) 16.91/17.09 (step @p1060 :rule instantiate :premises (@p1554) :args ((@list @t318))) 16.91/17.09 (step-pop @p1554 :rule scope :premises (@p1060)) 16.91/17.09 (step @p1061 :rule process_scope :premises (@p1554) :args (@t330)) 16.91/17.09 (step @p1063 :rule eq_resolve :premises (@p1061 @p1058)) 16.91/17.09 (step @p1064 :rule eq_resolve :premises (@p1063 @p1030)) 16.91/17.09 (step @p1065 :rule implies_elim :premises (@p1064)) 16.91/17.09 (step @p1066 :rule chain_resolution :premises (@p1065 @p948) :args (@t117 @t308)) 16.91/17.09 (step @p1067 :rule absorb :args ((= (or @t59 true) true))) 16.91/17.09 (step @p1068 :rule eq-symm :args (@t54 @t52)) 16.91/17.09 (step @p1069 :rule nary_cong :premises (@p1068 @p819) :args (@t331)) 16.91/17.09 (step @p1070 :rule trans :premises (@p1069 @p1067)) 16.91/17.09 (step @p1071 :rule cong :premises (@p840 @p1070) :args (@t332)) 16.91/17.09 (step @p1072 :rule trans :premises (@p1071 @p839)) 16.91/17.09 (step @p1073 :rule cong :premises (@p1028 @p1072) :args ((=> @t323 @t332))) 16.91/17.09 (assume-push @p1556 @t323) 16.91/17.09 (step @p1075 :rule instantiate :premises (@p1556) :args (@t263)) 16.91/17.09 (step-pop @p1556 :rule scope :premises (@p1075)) 16.91/17.09 (step @p1076 :rule process_scope :premises (@p1556) :args (@t332)) 16.91/17.09 (step @p1078 :rule eq_resolve :premises (@p1076 @p1073)) 16.91/17.09 (step @p1079 :rule implies_elim :premises (@p1078)) 16.91/17.09 (step @p1080 :rule reordering :premises (@p1079) :args ((or @t269 (not @t323)))) 16.91/17.09 (step @p1081 :rule refl :args (@t334)) 16.91/17.09 (step @p1082 :rule nary_cong :premises (@p357 @p793 @p791 @p1081) :args ((or @t174 @t254 @t251 @t334))) 16.91/17.09 (assume-push @p1558 @t53) 16.91/17.09 (assume-push @p1559 @t170) 16.91/17.09 (assume-push @p1560 @t250) 16.91/17.09 (assume-push @p1561 @t170) 16.91/17.09 (assume-push @p1562 @t250) 16.91/17.09 (assume-push @p1563 @t53) 16.91/17.09 (step @p1089 :rule false_intro :premises (@p1559)) 16.91/17.09 (step @p1090 :rule symm :premises (@p1558)) 16.91/17.09 (step @p1091 :rule trans :premises (@p1090 @p1560)) 16.91/17.09 (step @p1092 :rule refl :args (@t55)) 16.91/17.09 (step @p1093 :rule cong :premises (@p1092 @p1091) :args (@t333)) 16.91/17.09 (step @p1094 :rule trans :premises (@p1093 @p1089)) 16.91/17.09 (step @p1095 :rule false_elim :premises (@p1094)) 16.91/17.09 (step-pop @p1563 :rule scope :premises (@p1095)) 16.91/17.09 (step-pop @p1564 :rule scope :premises (@p1563)) 16.91/17.09 (step-pop @p1565 :rule scope :premises (@p1564)) 16.91/17.09 (step @p1096 :rule process_scope :premises (@p1565) :args (@t334)) 16.91/17.09 (step @p1100 :rule and_intro :premises (@p1559 @p1560 @p1558)) 16.91/17.09 (step @p1101 :rule modus_ponens :premises (@p1100 @p1096)) 16.91/17.09 (step-pop @p1566 :rule scope :premises (@p1101)) 16.91/17.09 (step-pop @p1567 :rule scope :premises (@p1566)) 16.91/17.09 (step-pop @p1568 :rule scope :premises (@p1567)) 16.91/17.09 (step @p1102 :rule process_scope :premises (@p1568) :args (@t334)) 16.91/17.09 (step @p1106 :rule implies_elim :premises (@p1102)) 16.91/17.09 (step @p1107 :rule cnf_and_neg :args (@t335)) 16.91/17.09 (step @p1108 :rule resolution :premises (@p1107 @p1106) :args (true @t335)) 16.91/17.09 (step @p1109 :rule eq_resolve :premises (@p1108 @p1082)) 16.91/17.09 (step @p1110 :rule reordering :premises (@p1109) :args ((or @t56 @t174 @t251 @t334))) 16.91/17.09 (step @p1111 :rule cnf_or_pos :args (@t336)) 16.91/17.09 (step @p1112 :rule reordering :premises (@p1111) :args ((or @t56 @t333 (not @t336)))) 16.91/17.09 (step @p1113 :rule bool-eq-true :args (@t336)) 16.91/17.09 (step @p1114 :rule eq-symm :args (true @t336)) 16.91/17.09 (step @p1115 :rule trans :premises (@p1114 @p1113)) 16.91/17.09 (step @p1116 :rule refl :args (@t336)) 16.91/17.09 (step @p1117 :rule cong :premises (@p1003 @p1116) :args (@t337)) 16.91/17.09 (step @p1118 :rule trans :premises (@p1117 @p1115)) 16.91/17.09 (step @p1119 :rule cong :premises (@p1028 @p1118) :args ((=> @t323 @t337))) 16.91/17.09 (assume-push @p1570 @t323) 16.91/17.09 (step @p1121 :rule instantiate :premises (@p1570) :args (@t316)) 16.91/17.09 (step-pop @p1570 :rule scope :premises (@p1121)) 16.91/17.09 (step @p1122 :rule process_scope :premises (@p1570) :args (@t337)) 16.91/17.09 (step @p1124 :rule eq_resolve :premises (@p1122 @p1119)) 16.91/17.09 (step @p1125 :rule implies_elim :premises (@p1124)) 16.91/17.09 (step @p1126 :rule chain_resolution :premises (@p1125 @p1112 @p790 @p1110 @p790 @p246 @p838 @p790 @p1080) :args ((@list true true true true false false true false) (@list @t336 @t56 @t333 @t56 @t53 @t250 @t56 @t269))) 16.91/17.09 (step @p1127 :rule factoring :premises (@p1126)) 16.91/17.09 (step @p1128 :rule cnf_or_pos :args (@t339)) 16.91/17.09 (step @p1129 :rule reordering :premises (@p1128) :args ((or @t323 @t338 (not @t339)))) 16.91/17.09 (step @p1130 :rule chain_resolution :premises (@p1129 @p1127 @p1066) :args (@t180 (@list @t323 @t339))) 16.91/17.09 (step @p1131 :rule chain_resolution :premises (@p198 @p948) :args (@t117 @t308)) 16.91/17.09 (step @p1132 :rule chain_resolution :premises (@p202 @p200 @p1131) :args (@t311 (@list @t99 @t118))) 16.91/17.09 (step @p1133 :rule cnf_equiv_neg2 :args (@t343)) 16.91/17.09 (assume-push @p1572 @t250) 16.91/17.09 (assume-push @p1573 @t342) 16.91/17.09 (assume-push @p1574 @t342) 16.91/17.09 (assume-push @p1575 @t250) 16.91/17.09 (step @p1138 :rule trans :premises (@p1572 @p1573)) 16.91/17.09 (step-pop @p1575 :rule scope :premises (@p1138)) 16.91/17.09 (step-pop @p1576 :rule scope :premises (@p1575)) 16.91/17.09 (step @p1139 :rule process_scope :premises (@p1576) :args (@t341)) 16.91/17.09 (step @p1142 :rule and_intro :premises (@p1573 @p1572)) 16.91/17.09 (step @p1143 :rule modus_ponens :premises (@p1142 @p1139)) 16.91/17.09 (step-pop @p1577 :rule scope :premises (@p1143)) 16.91/17.09 (step-pop @p1578 :rule scope :premises (@p1577)) 16.91/17.09 (step @p1144 :rule process_scope :premises (@p1578) :args (@t341)) 16.91/17.09 (step @p1147 :rule implies_elim :premises (@p1144)) 16.91/17.09 (step @p1148 :rule cnf_and_neg :args (@t344)) 16.91/17.09 (step @p1149 :rule resolution :premises (@p1148 @p1147) :args (true @t344)) 16.91/17.09 (step @p1150 :rule reordering :premises (@p1149) :args ((or @t251 @t341 @t345))) 16.91/17.09 (step @p1151 :rule chain_resolution :premises (@p1150 @p1133) :args (@t97 @t346)) 16.91/17.09 (step @p1152 :rule factoring :premises (@p1151)) 16.91/17.09 (step @p1153 :rule reordering :premises (@p1152) :args ((or @t251 @t343 @t345))) 16.91/17.09 (step @p1154 :rule cnf_equiv_neg1 :args (@t343)) 16.91/17.09 (step @p1155 :rule reordering :premises (@p1154) :args ((or @t342 @t341 @t343))) 16.91/17.09 (step @p1156 :rule refl :args (@t347)) 16.91/17.09 (step @p1157 :rule bool-double-not-elim :args (@t342)) 16.91/17.09 (step @p1158 :rule nary_cong :premises (@p791 @p1157 @p1156) :args ((or @t251 (not @t345) @t347))) 16.91/17.09 (assume-push @p1580 @t250) 16.91/17.09 (assume-push @p1581 @t345) 16.91/17.09 (assume-push @p1582 @t345) 16.91/17.09 (assume-push @p1583 @t250) 16.91/17.09 (step @p1163 :rule false_intro :premises (@p1581)) 16.91/17.09 (step @p1164 :rule refl :args (@t340)) 16.91/17.09 (step @p1165 :rule cong :premises (@p1580 @p1164) :args (@t341)) 16.91/17.09 (step @p1166 :rule trans :premises (@p1165 @p1163)) 16.91/17.09 (step @p1167 :rule false_elim :premises (@p1166)) 16.91/17.09 (step-pop @p1583 :rule scope :premises (@p1167)) 16.91/17.09 (step-pop @p1584 :rule scope :premises (@p1583)) 16.91/17.09 (step @p1168 :rule process_scope :premises (@p1584) :args (@t347)) 16.91/17.09 (step @p1171 :rule and_intro :premises (@p1581 @p1580)) 16.91/17.09 (step @p1172 :rule modus_ponens :premises (@p1171 @p1168)) 16.91/17.09 (step-pop @p1585 :rule scope :premises (@p1172)) 16.91/17.09 (step-pop @p1586 :rule scope :premises (@p1585)) 16.91/17.09 (step @p1173 :rule process_scope :premises (@p1586) :args (@t347)) 16.91/17.09 (step @p1176 :rule implies_elim :premises (@p1173)) 16.91/17.09 (step @p1177 :rule cnf_and_neg :args (@t348)) 16.91/17.09 (step @p1178 :rule resolution :premises (@p1177 @p1176) :args (true @t348)) 16.91/17.09 (step @p1179 :rule eq_resolve :premises (@p1178 @p1158)) 16.91/17.09 (step @p1180 :rule chain_resolution :premises (@p1179 @p1155) :args (@t117 @t346)) 16.91/17.09 (step @p1181 :rule factoring :premises (@p1180)) 16.91/17.09 (step @p1182 :rule chain_resolution :premises (@p1181 @p1153) :args (@t97 (@list @t342))) 16.91/17.09 (step @p1183 :rule factoring :premises (@p1182)) 16.91/17.09 (step @p1184 :rule eq-symm :args (@t341 @t342)) 16.91/17.09 (step @p1185 :rule eq-refl :args (@t342)) 16.91/17.09 (step @p1186 :rule beta-reduce :args ((= @t350 @t342))) 16.91/17.09 (step @p1187 :rule refl :args (@t342)) 16.91/17.09 (step @p1188 :rule cong :premises (@p1187 @p1186) :args ((= @t342 @t350))) 16.91/17.09 (step @p1189 :rule trans :premises (@p1188 @p1185)) 16.91/17.09 (step @p1190 :rule eq-symm :args (@t350 @t342)) 16.91/17.09 (step @p1191 :rule trans :premises (@p1190 @p1189)) 16.91/17.09 (step @p1164 :rule refl :args (@t340)) 16.91/17.09 (step @p1192 :rule skolem_intro :args (@t351)) 16.91/17.09 (step @p1193 :rule ho_cong :premises (@p1192 @p1164)) 16.91/17.09 (step @p1194 :rule cong :premises (@p1193 @p1187) :args ((= @t352 @t342))) 16.91/17.09 (step @p1195 :rule trans :premises (@p1194 @p1191)) 16.91/17.09 (step @p1196 :rule true_elim :premises (@p1195)) 16.91/17.09 (step @p1197 :rule eq-refl :args (@t341)) 16.91/17.09 (step @p1198 :rule eq-symm :args (@t340 @t34)) 16.91/17.09 (step @p1199 :rule beta-reduce :args ((= @t353 (= @t340 @t34)))) 16.91/17.09 (step @p1200 :rule trans :premises (@p1199 @p1198)) 16.91/17.09 (step @p1201 :rule refl :args (@t341)) 16.91/17.09 (step @p1202 :rule cong :premises (@p1201 @p1200) :args ((= @t341 @t353))) 16.91/17.09 (step @p1203 :rule trans :premises (@p1202 @p1197)) 16.91/17.09 (step @p1204 :rule eq-symm :args (@t353 @t341)) 16.91/17.09 (step @p1205 :rule trans :premises (@p1204 @p1203)) 16.91/17.09 (step @p1206 :rule ho_cong :premises (@p25 @p1164)) 16.91/17.09 (step @p1207 :rule cong :premises (@p1206 @p1201) :args ((= @t354 @t341))) 16.91/17.09 (step @p1208 :rule trans :premises (@p1207 @p1205)) 16.91/17.09 (step @p1209 :rule true_elim :premises (@p1208)) 16.91/17.09 (step @p1210 :rule cong :premises (@p1209 @p1196) :args (@t355)) 16.91/17.09 (step @p1211 :rule trans :premises (@p1210 @p1184)) 16.91/17.09 (step @p1212 :rule cong :premises (@p1211) :args (@t356)) 16.91/17.09 (step @p1213 :rule refl :args (@t357)) 16.91/17.09 (step @p1214 :rule nary_cong :premises (@p1213 @p1212) :args (@t358)) 16.91/17.09 ; trust TRUST THEORY_LEMMA 16.91/17.09 (step @p1215 :rule trust :premises () :args (@t358)) 16.91/17.09 (step @p1216 :rule eq_resolve :premises (@p1215 @p1214)) 16.91/17.09 (step @p1217 :rule bool-double-not-elim :args (@t320)) 16.91/17.09 (step @p1218 :rule refl :args (@t359)) 16.91/17.09 (step @p1219 :rule refl :args (@t360)) 16.91/17.09 (step @p1220 :rule refl :args (@t362)) 16.91/17.09 (step @p1221 :rule nary_cong :premises (@p1220 @p1219 @p1218 @p1217) :args ((or @t362 @t360 @t359 @t363))) 16.91/17.09 (assume-push @p1588 @t338) 16.91/17.09 (assume-push @p1589 @t361) 16.91/17.09 (assume-push @p1590 @t357) 16.91/17.09 (assume-push @p1591 @t321) 16.91/17.09 (step @p1226 :rule evaluate :args (@t364)) 16.91/17.09 (step @p1227 :rule symm :premises (@p1589)) 16.91/17.09 (step @p1228 :rule trans :premises (@p1590 @p1227)) 16.91/17.09 (step @p1229 :rule trans :premises (@p1228 @p1588)) 16.91/17.09 (step @p1230 :rule true_intro :premises (@p1229)) 16.91/17.09 (step @p1231 :rule false_intro :premises (@p1591)) 16.91/17.09 (step @p1232 :rule symm :premises (@p1231)) 16.91/17.09 (step @p1233 :rule trans :premises (@p1232 @p1230)) 16.91/17.09 (step @p1234 false :rule eq_resolve :premises (@p1233 @p1226)) 16.91/17.09 (step-pop @p1591 :rule scope :premises (@p1234)) 16.91/17.09 (step-pop @p1592 :rule scope :premises (@p1591)) 16.91/17.09 (step-pop @p1593 :rule scope :premises (@p1592)) 16.91/17.09 (step-pop @p1594 :rule scope :premises (@p1593)) 16.91/17.09 (step @p1235 :rule process_scope :premises (@p1594) :args (false)) 16.91/17.09 (assume-push @p1596 @t361) 16.91/17.09 (assume-push @p1597 @t357) 16.91/17.09 (assume-push @p1598 @t338) 16.91/17.09 (assume-push @p1599 @t321) 16.91/17.09 (step @p1244 :rule and_intro :premises (@p1598 @p1596 @p1597 @p1599)) 16.91/17.09 (step-pop @p1599 :rule scope :premises (@p1244)) 16.91/17.09 (step-pop @p1600 :rule scope :premises (@p1599)) 16.91/17.09 (step-pop @p1601 :rule scope :premises (@p1600)) 16.91/17.09 (step-pop @p1602 :rule scope :premises (@p1601)) 16.91/17.09 (step @p1245 :rule process_scope :premises (@p1602) :args (@t365)) 16.91/17.09 (step @p1250 :rule implies_elim :premises (@p1245)) 16.91/17.09 (step @p1251 :rule resolution :premises (@p1250 @p1235) :args (true @t365)) 16.91/17.09 (step @p1252 :rule not_and :premises (@p1251)) 16.91/17.09 (step @p1253 :rule eq_resolve :premises (@p1252 @p1221)) 16.91/17.09 (step @p1254 :rule eq-symm :args (@t367 @t368)) 16.91/17.09 (step @p1255 :rule eq-refl :args (@t368)) 16.91/17.09 (step @p1256 :rule beta-reduce :args ((= @t369 @t368))) 16.91/17.09 (step @p1257 :rule refl :args (@t368)) 16.91/17.09 (step @p1258 :rule cong :premises (@p1257 @p1256) :args ((= @t368 @t369))) 16.91/17.09 (step @p1259 :rule trans :premises (@p1258 @p1255)) 16.91/17.09 (step @p1260 :rule eq-symm :args (@t369 @t368)) 16.91/17.09 (step @p1261 :rule trans :premises (@p1260 @p1259)) 16.91/17.09 (step @p1262 :rule refl :args (@t366)) 16.91/17.09 (step @p1263 :rule ho_cong :premises (@p1192 @p1262)) 16.91/17.09 (step @p1264 :rule cong :premises (@p1263 @p1257) :args ((= @t370 @t368))) 16.91/17.09 (step @p1265 :rule trans :premises (@p1264 @p1261)) 16.91/17.09 (step @p1266 :rule true_elim :premises (@p1265)) 16.91/17.09 (step @p1267 :rule eq-refl :args (@t367)) 16.91/17.09 (step @p1268 :rule eq-symm :args (@t366 @t52)) 16.91/17.09 (step @p1269 :rule beta-reduce :args ((= @t371 (= @t366 @t52)))) 16.91/17.09 (step @p1270 :rule trans :premises (@p1269 @p1268)) 16.91/17.09 (step @p1271 :rule refl :args (@t367)) 16.91/17.09 (step @p1272 :rule cong :premises (@p1271 @p1270) :args ((= @t367 @t371))) 16.91/17.09 (step @p1273 :rule trans :premises (@p1272 @p1267)) 16.91/17.09 (step @p1274 :rule eq-symm :args (@t371 @t367)) 16.91/17.09 (step @p1275 :rule trans :premises (@p1274 @p1273)) 16.91/17.09 (step @p1276 :rule ho_cong :premises (@p146 @p1262)) 16.91/17.09 (step @p1277 :rule cong :premises (@p1276 @p1271) :args ((= @t372 @t367))) 16.91/17.09 (step @p1278 :rule trans :premises (@p1277 @p1275)) 16.91/17.09 (step @p1279 :rule true_elim :premises (@p1278)) 16.91/17.09 (step @p1280 :rule cong :premises (@p1279 @p1266) :args (@t373)) 16.91/17.09 (step @p1281 :rule trans :premises (@p1280 @p1254)) 16.91/17.09 (step @p1282 :rule cong :premises (@p1281) :args (@t374)) 16.91/17.09 (step @p1283 :rule refl :args (@t361)) 16.91/17.09 (step @p1284 :rule nary_cong :premises (@p1283 @p1282) :args (@t375)) 16.91/17.09 ; trust TRUST THEORY_LEMMA 16.91/17.09 (step @p1285 :rule trust :premises () :args (@t375)) 16.91/17.09 (step @p1286 :rule eq_resolve :premises (@p1285 @p1284)) 16.91/17.09 (step @p1287 :rule cnf_equiv_neg2 :args (@t376)) 16.91/17.09 (assume-push @p1604 @t53) 16.91/17.09 (assume-push @p1605 @t250) 16.91/17.09 (assume-push @p1606 @t368) 16.91/17.09 (assume-push @p1607 @t368) 16.91/17.09 (assume-push @p1608 @t250) 16.91/17.09 (assume-push @p1609 @t53) 16.91/17.09 (step @p1294 :rule symm :premises (@p1604)) 16.91/17.09 (step @p1295 :rule trans :premises (@p1294 @p1605 @p1606)) 16.91/17.09 (step-pop @p1609 :rule scope :premises (@p1295)) 16.91/17.09 (step-pop @p1610 :rule scope :premises (@p1609)) 16.91/17.09 (step-pop @p1611 :rule scope :premises (@p1610)) 16.91/17.09 (step @p1296 :rule process_scope :premises (@p1611) :args (@t367)) 16.91/17.09 (step @p1300 :rule and_intro :premises (@p1606 @p1605 @p1604)) 16.91/17.09 (step @p1301 :rule modus_ponens :premises (@p1300 @p1296)) 16.91/17.09 (step-pop @p1612 :rule scope :premises (@p1301)) 16.91/17.09 (step-pop @p1613 :rule scope :premises (@p1612)) 16.91/17.09 (step-pop @p1614 :rule scope :premises (@p1613)) 16.91/17.09 (step @p1302 :rule process_scope :premises (@p1614) :args (@t367)) 16.91/17.09 (step @p1306 :rule implies_elim :premises (@p1302)) 16.91/17.09 (step @p1307 :rule cnf_and_neg :args (@t377)) 16.91/17.09 (step @p1308 :rule resolution :premises (@p1307 @p1306) :args (true @t377)) 16.91/17.09 (step @p1309 :rule reordering :premises (@p1308) :args ((or @t174 @t251 @t367 @t378))) 16.91/17.09 (step @p1310 :rule chain_resolution :premises (@p1309 @p246 @p1287 @p1286 @p1253 @p1019 @p1015 @p1012 @p997 @p1129 @p1065 @p138 @p135 @p96 @p855 @p790 @p1127 @p1216 @p1183) :args ((@list false true true true true true true true false false false true true true true true false false) (@list @t53 @t367 @t376 @t361 @t320 @t317 @t98 @t252 @t338 @t339 @t76 @t77 @t33 @t57 @t56 @t323 @t357 @t343))) 16.91/17.09 (step @p1311 :rule factoring :premises (@p1310)) 16.91/17.09 (step @p1312 :rule cnf_equiv_neg1 :args (@t376)) 16.91/17.09 (step @p1313 :rule reordering :premises (@p1312) :args ((or @t368 @t367 @t376))) 16.91/17.09 (step @p1314 :rule refl :args (@t379)) 16.91/17.09 (step @p1315 :rule bool-double-not-elim :args (@t368)) 16.91/17.09 (step @p1316 :rule nary_cong :premises (@p357 @p791 @p1315 @p1314) :args ((or @t174 @t251 (not @t378) @t379))) 16.91/17.09 (assume-push @p1616 @t53) 16.91/17.09 (assume-push @p1617 @t250) 16.91/17.09 (assume-push @p1618 @t378) 16.91/17.09 (assume-push @p1619 @t378) 16.91/17.09 (assume-push @p1620 @t250) 16.91/17.09 (assume-push @p1621 @t53) 16.91/17.09 (step @p1323 :rule false_intro :premises (@p1618)) 16.91/17.09 (step @p1324 :rule symm :premises (@p1616)) 16.91/17.09 (step @p1325 :rule trans :premises (@p1324 @p1617)) 16.91/17.09 (step @p1326 :rule cong :premises (@p1325 @p1262) :args (@t367)) 16.91/17.09 (step @p1327 :rule trans :premises (@p1326 @p1323)) 16.91/17.09 (step @p1328 :rule false_elim :premises (@p1327)) 16.91/17.09 (step-pop @p1621 :rule scope :premises (@p1328)) 16.91/17.09 (step-pop @p1622 :rule scope :premises (@p1621)) 16.91/17.09 (step-pop @p1623 :rule scope :premises (@p1622)) 16.91/17.09 (step @p1329 :rule process_scope :premises (@p1623) :args (@t379)) 16.91/17.09 (step @p1333 :rule and_intro :premises (@p1618 @p1617 @p1616)) 16.91/17.09 (step @p1334 :rule modus_ponens :premises (@p1333 @p1329)) 16.91/17.09 (step-pop @p1624 :rule scope :premises (@p1334)) 16.91/17.09 (step-pop @p1625 :rule scope :premises (@p1624)) 16.91/17.09 (step-pop @p1626 :rule scope :premises (@p1625)) 16.91/17.09 (step @p1335 :rule process_scope :premises (@p1626) :args (@t379)) 16.91/17.09 (step @p1339 :rule implies_elim :premises (@p1335)) 16.91/17.09 (step @p1340 :rule cnf_and_neg :args (@t380)) 16.91/17.09 (step @p1341 :rule resolution :premises (@p1340 @p1339) :args (true @t380)) 16.91/17.09 (step @p1342 :rule eq_resolve :premises (@p1341 @p1316)) 16.91/17.09 (step @p1343 :rule chain_resolution :premises (@p1342 @p246 @p1313 @p1286 @p1253 @p1130 @p1020 @p1216 @p1183) :args ((@list false false true true false true false false) (@list @t53 @t367 @t376 @t361 @t338 @t320 @t357 @t343))) 16.91/17.09 (step @p1344 :rule factoring :premises (@p1343)) 16.91/17.09 (step @p1345 :rule chain_resolution :premises (@p1344 @p1311) :args (@t97 (@list @t368))) 16.91/17.09 (step @p1346 :rule factoring :premises (@p1345)) 16.91/17.09 (step @p1347 :rule cong :premises (@p823 @p1070) :args (@t381)) 16.91/17.09 (step @p1348 :rule trans :premises (@p1347 @p817)) 16.91/17.09 (step @p1349 :rule cong :premises (@p50 @p1348) :args ((=> @t67 @t381))) 16.91/17.09 (assume-push @p1628 @t67) 16.91/17.09 (step @p1351 :rule instantiate :premises (@p1628) :args (@t263)) 16.91/17.09 (step-pop @p1628 :rule scope :premises (@p1351)) 16.91/17.09 (step @p1352 :rule process_scope :premises (@p1628) :args (@t381)) 16.91/17.09 (step @p1354 :rule eq_resolve :premises (@p1352 @p1349)) 16.91/17.09 (step @p1355 :rule implies_elim :premises (@p1354)) 16.91/17.09 (step @p1356 :rule reordering :premises (@p1355) :args ((or @t250 @t69))) 16.91/17.09 (step @p1357 :rule chain_resolution :premises (@p1356 @p1346) :args (@t97 @t306)) 16.91/17.09 (step @p1358 :rule chain_resolution :premises (@p204 @p1357 @p1132) :args (@t180 (@list @t67 @t102))) 16.91/17.09 (step @p1359 :rule nary_cong :premises (@p224 @p223 @p1218 @p1217) :args ((or @t125 @t124 @t359 @t363))) 16.91/17.09 (assume-push @p1630 @t338) 16.91/17.09 (assume-push @p1631 @t101) 16.91/17.09 (assume-push @p1632 @t42) 16.91/17.09 (assume-push @p1633 @t321) 16.91/17.09 (step @p1226 :rule evaluate :args (@t364)) 16.91/17.09 (step @p1364 :rule symm :premises (@p1631)) 16.91/17.09 (step @p1365 :rule trans :premises (@p38 @p1364)) 16.91/17.09 (step @p1366 :rule trans :premises (@p1365 @p1630)) 16.91/17.09 (step @p1367 :rule true_intro :premises (@p1366)) 16.91/17.09 (step @p1368 :rule false_intro :premises (@p1633)) 16.91/17.09 (step @p1369 :rule symm :premises (@p1368)) 16.91/17.09 (step @p1370 :rule trans :premises (@p1369 @p1367)) 16.91/17.09 (step @p1371 false :rule eq_resolve :premises (@p1370 @p1226)) 16.91/17.09 (step-pop @p1633 :rule scope :premises (@p1371)) 16.91/17.09 (step-pop @p1634 :rule scope :premises (@p1633)) 16.91/17.09 (step-pop @p1635 :rule scope :premises (@p1634)) 16.91/17.09 (step-pop @p1636 :rule scope :premises (@p1635)) 16.91/17.09 (step @p1372 :rule process_scope :premises (@p1636) :args (false)) 16.91/17.09 (assume-push @p1638 @t101) 16.91/17.09 (assume-push @p1639 @t42) 16.91/17.09 (assume-push @p1640 @t338) 16.91/17.09 (assume-push @p1641 @t321) 16.91/17.09 (step @p1381 :rule and_intro :premises (@p1640 @p1638 @p38 @p1641)) 16.91/17.09 (step-pop @p1641 :rule scope :premises (@p1381)) 16.91/17.09 (step-pop @p1642 :rule scope :premises (@p1641)) 16.91/17.09 (step-pop @p1643 :rule scope :premises (@p1642)) 16.91/17.09 (step-pop @p1644 :rule scope :premises (@p1643)) 16.91/17.09 (step @p1382 :rule process_scope :premises (@p1644) :args (@t382)) 16.91/17.09 (step @p1387 :rule implies_elim :premises (@p1382)) 16.91/17.09 (step @p1388 :rule resolution :premises (@p1387 @p1372) :args (true @t382)) 16.91/17.09 (step @p1389 :rule not_and :premises (@p1388)) 16.91/17.09 (step @p1390 :rule eq_resolve :premises (@p1389 @p1359)) 16.91/17.09 (step @p1391 false :rule chain_resolution :premises (@p1390 @p1358 @p1130 @p1020 @p38) :args ((@list false false true false) (@list @t101 @t338 @t320 @t42))) 16.91/17.09 ) 16.91/17.09 % SZS output end Proof 16.91/17.09 % cvc5 exiting 16.91/17.10 EOF