%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV248^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:40 AM UTC 2026 % Result : Theorem 16.41s 16.61s % Output : Proof 16.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV248^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:22:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 16.41/16.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 16.41/16.61 % SZS status Theorem % 16.41/16.61 % SZS output start Proof % 16.41/16.61 ( % 16.41/16.61 (declare-sort tptp.a 0) % 16.41/16.61 (define @t1 () (@var "V" tptp.a)) % 16.41/16.61 (define @t2 () (@var "Y" tptp.a)) % 16.41/16.61 (define @t3 () (@var "U" tptp.a)) % 16.41/16.61 (define @t4 () (@var "X" tptp.a)) % 16.41/16.61 (define @t5 () (and (= @t4 @t3) (= @t2 @t1))) % 16.41/16.61 (define @t6 () (@var "W" tptp.a)) % 16.41/16.61 (define @t7 () (or (= @t6 @t3) (= @t6 @t1))) % 16.41/16.61 (define @t8 () (@var "Xx" (-> tptp.a Bool))) % 16.41/16.61 (define @t9 () (_ @t8 @t6)) % 16.41/16.61 (define @t10 () (= @t9 @t7)) % 16.41/16.61 (define @t11 () (@list @t6)) % 16.41/16.61 (define @t12 () (forall @t11 @t10)) % 16.41/16.61 (define @t13 () (@var "Xy" tptp.a)) % 16.41/16.61 (define @t14 () (@list @t13)) % 16.41/16.61 (define @t15 () (= @t8 (lambda @t14 (= @t3 @t13)))) % 16.41/16.61 (define @t16 () (or @t15 @t12)) % 16.41/16.61 (define @t17 () (or (= @t6 @t4) (= @t6 @t2))) % 16.41/16.61 (define @t18 () (= @t9 @t17)) % 16.41/16.61 (define @t19 () (forall @t11 @t18)) % 16.41/16.61 (define @t20 () (= @t8 (lambda @t14 (= @t4 @t13)))) % 16.41/16.61 (define @t21 () (or @t20 @t19)) % 16.41/16.61 (define @t22 () (= @t21 @t16)) % 16.41/16.61 (define @t23 () (@list @t8)) % 16.41/16.61 (define @t24 () (forall @t23 @t22)) % 16.41/16.61 (define @t25 () (= @t24 @t5)) % 16.41/16.61 (define @t26 () (@list @t4 @t2 @t3 @t1)) % 16.41/16.61 (define @t27 () (forall @t26 @t25)) % 16.41/16.61 (define @t28 () (not @t27)) % 16.41/16.61 (define @t29 () (lambda (@list (@var "BOUND_VARIABLE_159667" tptp.a)) false)) % 16.41/16.61 (define @t30 () (@purify @t29)) % 16.41/16.61 (define @t31 () (or (= @t3 @t6) (= @t1 @t6))) % 16.41/16.61 (define @t32 () (_ @t8 @t6)) % 16.41/16.61 (define @t33 () (or (= @t4 @t6) (= @t2 @t6))) % 16.41/16.61 (define @t34 () (forall @t23 (= (or @t20 (forall @t11 (= @t33 @t32))) (or @t15 (forall @t11 (= @t32 @t31)))))) % 16.41/16.61 (define @t35 () (forall @t26 (= @t5 @t34))) % 16.41/16.61 (define @t36 () (@quantifiers_skolemize @t35 0)) % 16.41/16.61 (define @t37 () (= @t13 @t36)) % 16.41/16.61 (define @t38 () (lambda @t14 @t37)) % 16.41/16.61 (define @t39 () (@purify @t38)) % 16.41/16.61 (define @t40 () (= @t39 @t30)) % 16.41/16.61 (define @t41 () (= @t36 @t36)) % 16.41/16.61 (define @t42 () (not @t41)) % 16.41/16.61 (define @t43 () (not @t37)) % 16.41/16.61 (define @t44 () (or @t43 @t43)) % 16.41/16.61 (define @t45 () (forall @t14 (= @t37 false))) % 16.41/16.61 (define @t46 () (=> @t40 @t45)) % 16.41/16.61 (define @t47 () (@const 0 tptp.a)) % 16.41/16.61 (define @t48 () (= @t36 @t47)) % 16.41/16.61 (define @t49 () (_ @t29 @t47)) % 16.41/16.61 (define @t50 () (_ @t30 @t47)) % 16.41/16.61 (define @t51 () (_ @t38 @t47)) % 16.41/16.61 (define @t52 () (_ @t39 @t47)) % 16.41/16.61 (define @t53 () (= @t52 @t50)) % 16.41/16.61 (define @t54 () (not @t53)) % 16.41/16.61 (define @t55 () (or @t40 @t54)) % 16.41/16.61 (define @t56 () (@list true)) % 16.41/16.61 (define @t57 () (@quantifiers_skolemize @t35 3)) % 16.41/16.61 (define @t58 () (@quantifiers_skolemize @t35 1)) % 16.41/16.61 (define @t59 () (= @t58 @t57)) % 16.41/16.61 (define @t60 () (@quantifiers_skolemize @t35 2)) % 16.41/16.61 (define @t61 () (= @t36 @t60)) % 16.41/16.61 (define @t62 () (and @t61 @t59)) % 16.41/16.61 (define @t63 () (= @t9 @t31)) % 16.41/16.61 (define @t64 () (= @t9 @t33)) % 16.41/16.61 (define @t65 () (= @t6 @t57)) % 16.41/16.61 (define @t66 () (= @t6 @t60)) % 16.41/16.61 (define @t67 () (or @t66 @t65)) % 16.41/16.61 (define @t68 () (= @t13 @t60)) % 16.41/16.61 (define @t69 () (lambda @t14 @t68)) % 16.41/16.61 (define @t70 () (= @t6 @t36)) % 16.41/16.61 (define @t71 () (or @t70 (= @t6 @t58))) % 16.41/16.61 (define @t72 () (forall @t23 (= (or (= @t8 @t38) (forall @t11 (= @t32 @t71))) (or (= @t8 @t69) (forall @t11 (= @t32 @t67)))))) % 16.41/16.61 (define @t73 () (= @t62 @t72)) % 16.41/16.61 (define @t74 () (not @t73)) % 16.41/16.61 (define @t75 () (not @t35)) % 16.41/16.61 (define @t76 () (= @t57 @t6)) % 16.41/16.61 (define @t77 () (or (= @t60 @t6) @t76)) % 16.41/16.61 (define @t78 () (= @t32 @t77)) % 16.41/16.61 (define @t79 () (forall @t11 @t78)) % 16.41/16.61 (define @t80 () (= @t60 @t13)) % 16.41/16.61 (define @t81 () (lambda @t14 @t80)) % 16.41/16.61 (define @t82 () (= @t8 @t81)) % 16.41/16.61 (define @t83 () (or @t82 @t79)) % 16.41/16.61 (define @t84 () (= @t36 @t6)) % 16.41/16.61 (define @t85 () (or @t84 (= @t58 @t6))) % 16.41/16.61 (define @t86 () (forall @t11 (= @t85 @t32))) % 16.41/16.61 (define @t87 () (lambda @t14 (= @t36 @t13))) % 16.41/16.61 (define @t88 () (= @t8 @t87)) % 16.41/16.61 (define @t89 () (or @t88 @t86)) % 16.41/16.61 (define @t90 () (= @t89 @t83)) % 16.41/16.61 (define @t91 () (forall @t23 @t90)) % 16.41/16.61 (define @t92 () (= @t62 @t91)) % 16.41/16.61 (define @t93 () (not @t92)) % 16.41/16.61 (define @t94 () (@quantifiers_skolemize @t72 0)) % 16.41/16.61 (define @t95 () (_ @t94 @t6)) % 16.41/16.61 (define @t96 () (forall @t11 (= @t71 @t95))) % 16.41/16.61 (define @t97 () (= @t94 @t39)) % 16.41/16.61 (define @t98 () (or @t97 @t96)) % 16.41/16.61 (define @t99 () (forall @t11 (= @t67 @t95))) % 16.41/16.61 (define @t100 () (@purify @t69)) % 16.41/16.61 (define @t101 () (= @t94 @t100)) % 16.41/16.61 (define @t102 () (or @t101 @t99)) % 16.41/16.61 (define @t103 () (= @t102 @t98)) % 16.41/16.61 (define @t104 () (not @t103)) % 16.41/16.61 (define @t105 () (not @t72)) % 16.41/16.61 (define @t106 () (= @t69 @t94)) % 16.41/16.61 (define @t107 () (or @t106 @t99)) % 16.41/16.61 (define @t108 () (= @t38 @t94)) % 16.41/16.61 (define @t109 () (or @t108 @t96)) % 16.41/16.61 (define @t110 () (= @t109 @t107)) % 16.41/16.61 (define @t111 () (not @t110)) % 16.41/16.61 (define @t112 () (forall @t11 (= @t95 @t67))) % 16.41/16.61 (define @t113 () (or (= @t94 @t69) @t112)) % 16.41/16.61 (define @t114 () (forall @t11 (= @t95 @t71))) % 16.41/16.61 (define @t115 () (or (= @t94 @t38) @t114)) % 16.41/16.61 (define @t116 () (= @t115 @t113)) % 16.41/16.61 (define @t117 () (not @t116)) % 16.41/16.61 (define @t118 () (@const 1 tptp.a)) % 16.41/16.61 (define @t119 () (= @t36 @t118)) % 16.41/16.61 (define @t120 () (_ @t38 @t118)) % 16.41/16.61 (define @t121 () (_ @t39 @t118)) % 16.41/16.61 (define @t122 () (_ @t94 @t118)) % 16.41/16.61 (define @t123 () (= @t122 @t121)) % 16.41/16.61 (define @t124 () (not @t123)) % 16.41/16.61 (define @t125 () (or @t97 @t124)) % 16.41/16.61 (define @t126 () (= @t60 @t118)) % 16.41/16.61 (define @t127 () (= @t122 @t126)) % 16.41/16.61 (define @t128 () (= @t122 @t119)) % 16.41/16.61 (define @t129 () (not @t127)) % 16.41/16.61 (define @t130 () (not @t122)) % 16.41/16.61 (define @t131 () (not @t126)) % 16.41/16.61 (define @t132 () (not @t61)) % 16.41/16.61 (define @t133 () (not @t119)) % 16.41/16.61 (define @t134 () (and @t61 @t133)) % 16.41/16.61 (define @t135 () (@list false true)) % 16.41/16.61 (define @t136 () (and @t61 @t119)) % 16.41/16.61 (define @t137 () (@const 2 tptp.a)) % 16.41/16.61 (define @t138 () (= @t60 @t137)) % 16.41/16.61 (define @t139 () (_ @t69 @t137)) % 16.41/16.61 (define @t140 () (_ @t100 @t137)) % 16.41/16.61 (define @t141 () (_ @t94 @t137)) % 16.41/16.61 (define @t142 () (= @t141 @t140)) % 16.41/16.61 (define @t143 () (not @t142)) % 16.41/16.61 (define @t144 () (or @t101 @t143)) % 16.41/16.61 (define @t145 () (@quantifiers_skolemize @t96 0)) % 16.41/16.61 (define @t146 () (= @t58 @t145)) % 16.41/16.61 (define @t147 () (= @t36 @t145)) % 16.41/16.61 (define @t148 () (or @t147 @t146)) % 16.41/16.61 (define @t149 () (_ @t94 @t145)) % 16.41/16.61 (define @t150 () (= @t149 @t148)) % 16.41/16.61 (define @t151 () (not @t150)) % 16.41/16.61 (define @t152 () (not @t96)) % 16.41/16.61 (define @t153 () (or (= @t145 @t36) (= @t145 @t58))) % 16.41/16.61 (define @t154 () (= @t153 @t149)) % 16.41/16.61 (define @t155 () (not @t154)) % 16.41/16.61 (define @t156 () (or (= @t145 @t60) (= @t145 @t57))) % 16.41/16.61 (define @t157 () (= @t156 @t149)) % 16.41/16.61 (define @t158 () (= @t57 @t145)) % 16.41/16.61 (define @t159 () (= @t60 @t145)) % 16.41/16.61 (define @t160 () (or @t159 @t158)) % 16.41/16.61 (define @t161 () (= @t149 @t160)) % 16.41/16.61 (define @t162 () (not @t161)) % 16.41/16.61 (define @t163 () (not @t149)) % 16.41/16.61 (define @t164 () (not @t159)) % 16.41/16.61 (define @t165 () (not @t147)) % 16.41/16.61 (define @t166 () (and @t61 @t165)) % 16.41/16.61 (define @t167 () (not @t158)) % 16.41/16.61 (define @t168 () (not @t59)) % 16.41/16.61 (define @t169 () (not @t146)) % 16.41/16.61 (define @t170 () (and @t59 @t169)) % 16.41/16.61 (define @t171 () (not @t160)) % 16.41/16.61 (define @t172 () (and @t61 @t164)) % 16.41/16.61 (define @t173 () (and @t59 @t167)) % 16.41/16.61 (define @t174 () (not @t99)) % 16.41/16.61 (define @t175 () (@quantifiers_skolemize @t99 0)) % 16.41/16.61 (define @t176 () (= @t57 @t175)) % 16.41/16.61 (define @t177 () (= @t60 @t175)) % 16.41/16.61 (define @t178 () (or @t177 @t176)) % 16.41/16.61 (define @t179 () (_ @t94 @t175)) % 16.41/16.61 (define @t180 () (= @t179 @t178)) % 16.41/16.61 (define @t181 () (not @t180)) % 16.41/16.61 (define @t182 () (or (= @t175 @t60) (= @t175 @t57))) % 16.41/16.61 (define @t183 () (= @t182 @t179)) % 16.41/16.61 (define @t184 () (not @t183)) % 16.41/16.61 (define @t185 () (= @t141 @t138)) % 16.41/16.61 (define @t186 () (= @t36 @t137)) % 16.41/16.61 (define @t187 () (= @t141 @t186)) % 16.41/16.61 (define @t188 () (not @t187)) % 16.41/16.61 (define @t189 () (not @t141)) % 16.41/16.61 (define @t190 () (not @t186)) % 16.41/16.61 (define @t191 () (not @t138)) % 16.41/16.61 (define @t192 () (and @t61 @t191)) % 16.41/16.61 (define @t193 () (and @t61 @t138)) % 16.41/16.61 (define @t194 () (@list true false true)) % 16.41/16.61 (define @t195 () (or (= @t175 @t36) (= @t175 @t58))) % 16.41/16.61 (define @t196 () (= @t195 @t179)) % 16.41/16.61 (define @t197 () (= @t58 @t175)) % 16.41/16.61 (define @t198 () (= @t36 @t175)) % 16.41/16.61 (define @t199 () (or @t198 @t197)) % 16.41/16.61 (define @t200 () (= @t179 @t199)) % 16.41/16.61 (define @t201 () (not @t200)) % 16.41/16.61 (define @t202 () (not @t179)) % 16.41/16.61 (define @t203 () (not @t198)) % 16.41/16.61 (define @t204 () (not @t177)) % 16.41/16.61 (define @t205 () (and @t61 @t204)) % 16.41/16.61 (define @t206 () (not @t197)) % 16.41/16.61 (define @t207 () (not @t176)) % 16.41/16.61 (define @t208 () (and @t59 @t207)) % 16.41/16.61 (define @t209 () (not @t199)) % 16.41/16.61 (define @t210 () (and @t61 @t203)) % 16.41/16.61 (define @t211 () (and @t59 @t206)) % 16.41/16.61 (define @t212 () (or @t70 @t65)) % 16.41/16.61 (define @t213 () (forall @t11 (= @t67 @t212))) % 16.41/16.61 (define @t214 () (@quantifiers_skolemize @t213 0)) % 16.41/16.61 (define @t215 () (= @t57 @t214)) % 16.41/16.61 (define @t216 () (= @t60 @t214)) % 16.41/16.61 (define @t217 () (or @t216 @t215)) % 16.41/16.61 (define @t218 () (= @t36 @t214)) % 16.41/16.61 (define @t219 () (or @t218 @t215)) % 16.41/16.61 (define @t220 () (= @t217 @t219)) % 16.41/16.61 (define @t221 () (and @t61 @t216)) % 16.41/16.61 (define @t222 () (not @t216)) % 16.41/16.61 (define @t223 () (not @t218)) % 16.41/16.61 (define @t224 () (and @t61 @t222)) % 16.41/16.61 (define @t225 () (@list false false)) % 16.41/16.61 (define @t226 () (not @t220)) % 16.41/16.61 (define @t227 () (not @t213)) % 16.41/16.61 (define @t228 () (= @t214 @t57)) % 16.41/16.61 (define @t229 () (or (= @t214 @t36) @t228)) % 16.41/16.61 (define @t230 () (or (= @t214 @t60) @t228)) % 16.41/16.61 (define @t231 () (= @t230 @t229)) % 16.41/16.61 (define @t232 () (not @t231)) % 16.41/16.61 (define @t233 () (@var "BOUND_VARIABLE_29735" tptp.a)) % 16.41/16.61 (define @t234 () (= @t57 @t233)) % 16.41/16.61 (define @t235 () (= @t36 @t233)) % 16.41/16.61 (define @t236 () (or @t235 @t234)) % 16.41/16.61 (define @t237 () (@list @t233)) % 16.41/16.61 (define @t238 () (lambda @t237 @t236)) % 16.41/16.61 (define @t239 () (@purify @t238)) % 16.41/16.61 (define @t240 () (or (= @t100 @t239) @t213)) % 16.41/16.61 (define @t241 () (not @t62)) % 16.41/16.61 (define @t242 () (forall @t11 (= @t71 @t212))) % 16.41/16.61 (define @t243 () (= @t39 @t239)) % 16.41/16.61 (define @t244 () (or @t243 @t242)) % 16.41/16.61 (define @t245 () (= @t69 @t238)) % 16.41/16.61 (define @t246 () (or @t245 @t213)) % 16.41/16.61 (define @t247 () (= @t38 @t238)) % 16.41/16.61 (define @t248 () (or @t247 @t242)) % 16.41/16.61 (define @t249 () (= @t248 @t246)) % 16.41/16.61 (define @t250 () (or @t84 @t76)) % 16.41/16.61 (define @t251 () (_ @t238 @t6)) % 16.41/16.61 (define @t252 () (forall @t11 (= @t251 @t67))) % 16.41/16.61 (define @t253 () (or (= @t238 @t69) @t252)) % 16.41/16.61 (define @t254 () (forall @t11 (= @t251 @t71))) % 16.41/16.61 (define @t255 () (or (= @t238 @t38) @t254)) % 16.41/16.61 (define @t256 () (= @t255 @t253)) % 16.41/16.61 (define @t257 () (= @t240 @t244)) % 16.41/16.61 (define @t258 () (= @t36 @t57)) % 16.41/16.61 (define @t259 () (not @t258)) % 16.41/16.61 (define @t260 () (= @t58 @t60)) % 16.41/16.61 (define @t261 () (not @t260)) % 16.41/16.61 (define @t262 () (and @t61 @t168 @t260)) % 16.41/16.61 (define @t263 () (or @t258 @t59)) % 16.41/16.61 (define @t264 () (= @t57 @t57)) % 16.41/16.61 (define @t265 () (= @t57 @t36)) % 16.41/16.61 (define @t266 () (or @t265 @t264)) % 16.41/16.61 (define @t267 () (or @t265 (= @t57 @t58))) % 16.41/16.61 (define @t268 () (= @t267 @t266)) % 16.41/16.61 (define @t269 () (@list @t57)) % 16.41/16.61 (define @t270 () (= @t233 @t57)) % 16.41/16.61 (define @t271 () (= @t233 @t36)) % 16.41/16.61 (define @t272 () (or @t271 @t270)) % 16.41/16.61 (define @t273 () (or @t271 (= @t233 @t58))) % 16.41/16.61 (define @t274 () (= @t273 @t272)) % 16.41/16.61 (define @t275 () (@list @t6)) % 16.41/16.61 (define @t276 () (@list @t233)) % 16.41/16.61 (define @t277 () (not @t244)) % 16.41/16.61 (define @t278 () (or @t235 (= @t58 @t233))) % 16.41/16.61 (define @t279 () (forall @t237 (= @t278 @t236))) % 16.41/16.61 (define @t280 () (lambda @t237 @t278)) % 16.41/16.61 (define @t281 () (@purify @t280)) % 16.41/16.61 (define @t282 () (= @t281 @t239)) % 16.41/16.61 (define @t283 () (not @t282)) % 16.41/16.61 (define @t284 () (= @t39 @t281)) % 16.41/16.61 (define @t285 () (not @t284)) % 16.41/16.61 (define @t286 () (not @t243)) % 16.41/16.61 (define @t287 () (not @t283)) % 16.41/16.61 (define @t288 () (= @t281 @t39)) % 16.41/16.61 (define @t289 () (and @t243 @t283)) % 16.41/16.61 (define @t290 () (@const 3 tptp.a)) % 16.41/16.61 (define @t291 () (= @t58 @t290)) % 16.41/16.61 (define @t292 () (= @t36 @t290)) % 16.41/16.61 (define @t293 () (or @t292 @t291)) % 16.41/16.61 (define @t294 () (_ @t280 @t290)) % 16.41/16.61 (define @t295 () (_ @t281 @t290)) % 16.41/16.61 (define @t296 () (_ @t38 @t290)) % 16.41/16.61 (define @t297 () (_ @t39 @t290)) % 16.41/16.61 (define @t298 () (= @t297 @t295)) % 16.41/16.61 (define @t299 () (not @t298)) % 16.41/16.61 (define @t300 () (or @t284 @t299)) % 16.41/16.61 (define @t301 () (= @t292 @t293)) % 16.41/16.61 (define @t302 () (not @t292)) % 16.41/16.61 (define @t303 () (@list false)) % 16.41/16.61 (define @t304 () (not @t291)) % 16.41/16.61 (define @t305 () (and @t61 @t260 @t302)) % 16.41/16.61 (define @t306 () (or @t260 @t59)) % 16.41/16.61 (define @t307 () (forall @t11 (= @t71 @t67))) % 16.41/16.61 (define @t308 () (= @t69 @t280)) % 16.41/16.61 (define @t309 () (or @t308 @t307)) % 16.41/16.61 (define @t310 () (_ @t280 @t6)) % 16.41/16.61 (define @t311 () (forall @t11 (= @t310 @t67))) % 16.41/16.61 (define @t312 () (or (= @t280 @t69) @t311)) % 16.41/16.61 (define @t313 () (forall @t11 (= @t310 @t71))) % 16.41/16.61 (define @t314 () (or (= @t280 @t38) @t313)) % 16.41/16.61 (define @t315 () (= @t314 @t312)) % 16.41/16.61 (define @t316 () (= @t36 @t58)) % 16.41/16.61 (define @t317 () (= @t58 @t36)) % 16.41/16.61 (define @t318 () (or @t317 (= @t58 @t58))) % 16.41/16.61 (define @t319 () (= @t318 @t306)) % 16.41/16.61 (define @t320 () (@list @t58)) % 16.41/16.61 (define @t321 () (= @t100 @t281)) % 16.41/16.61 (define @t322 () (or @t321 @t307)) % 16.41/16.61 (define @t323 () (@const 4 tptp.a)) % 16.41/16.61 (define @t324 () (= @t60 @t323)) % 16.41/16.61 (define @t325 () (= @t36 @t323)) % 16.41/16.61 (define @t326 () (= @t325 @t324)) % 16.41/16.61 (define @t327 () (and @t61 @t325)) % 16.41/16.61 (define @t328 () (not @t325)) % 16.41/16.61 (define @t329 () (not @t324)) % 16.41/16.61 (define @t330 () (and @t61 @t328)) % 16.41/16.61 (define @t331 () (_ @t38 @t323)) % 16.41/16.61 (define @t332 () (_ @t39 @t323)) % 16.41/16.61 (define @t333 () (_ @t69 @t323)) % 16.41/16.61 (define @t334 () (_ @t100 @t323)) % 16.41/16.61 (define @t335 () (= @t334 @t332)) % 16.41/16.61 (define @t336 () (not @t335)) % 16.41/16.61 (define @t337 () (= @t100 @t39)) % 16.41/16.61 (define @t338 () (or @t337 @t336)) % 16.41/16.61 (define @t339 () (not @t337)) % 16.41/16.61 (define @t340 () (not @t321)) % 16.41/16.61 (define @t341 () (and @t321 @t243 @t283)) % 16.41/16.61 (define @t342 () (or @t316 @t59)) % 16.41/16.61 (define @t343 () (or @t317 @t59)) % 16.41/16.61 (define @t344 () (= @t318 @t343)) % 16.41/16.61 (define @t345 () (not @t48)) % 16.41/16.61 (define @t346 () (not @t316)) % 16.41/16.61 (define @t347 () (= false true)) % 16.41/16.61 (define @t348 () (and @t48 @t316 @t61 @t261)) % 16.41/16.61 (define @t349 () (@list @t61)) % 16.41/16.61 (define @t350 () (@list @t72)) % 16.41/16.61 (define @t351 () (or @t41 @t316)) % 16.41/16.61 (define @t352 () (forall @t11 (= @t71 @t66))) % 16.41/16.61 (define @t353 () (= @t351 @t61)) % 16.41/16.61 (define @t354 () (@list @t36)) % 16.41/16.61 (define @t355 () (not @t352)) % 16.41/16.61 (define @t356 () (or @t37 (= @t13 @t58))) % 16.41/16.61 (define @t357 () (@list @t13)) % 16.41/16.61 (define @t358 () (forall @t14 (= @t68 @t356))) % 16.41/16.61 (define @t359 () (@list true false)) % 16.41/16.61 (define @t360 () (or @t61 @t258)) % 16.41/16.61 (define @t361 () (= @t351 @t360)) % 16.41/16.61 (define @t362 () (= @t60 @t57)) % 16.41/16.61 (define @t363 () (or (= @t60 @t60) @t362)) % 16.41/16.61 (define @t364 () (= @t362 @t363)) % 16.41/16.61 (define @t365 () (forall @t11 (= @t65 @t67))) % 16.41/16.61 (define @t366 () (= @t362 @t264)) % 16.41/16.61 (define @t367 () (forall @t237 (= (= @t60 @t233) @t234))) % 16.41/16.61 (define @t368 () (forall @t11 (= @t71 @t65))) % 16.41/16.61 (define @t369 () (lambda @t237 @t234)) % 16.41/16.61 (define @t370 () (@purify @t369)) % 16.41/16.61 (define @t371 () (= @t39 @t370)) % 16.41/16.61 (define @t372 () (or @t371 @t368)) % 16.41/16.61 (define @t373 () (= @t100 @t370)) % 16.41/16.61 (define @t374 () (or @t373 @t365)) % 16.41/16.61 (define @t375 () (= @t69 @t369)) % 16.41/16.61 (define @t376 () (or @t375 @t365)) % 16.41/16.61 (define @t377 () (= @t38 @t369)) % 16.41/16.61 (define @t378 () (or @t377 @t368)) % 16.41/16.61 (define @t379 () (= @t378 @t376)) % 16.41/16.61 (define @t380 () (lambda @t237 @t270)) % 16.41/16.61 (define @t381 () (_ @t380 @t6)) % 16.41/16.61 (define @t382 () (forall @t11 (= @t381 @t67))) % 16.41/16.61 (define @t383 () (= @t380 @t69)) % 16.41/16.61 (define @t384 () (or @t383 @t382)) % 16.41/16.61 (define @t385 () (forall @t11 (= @t381 @t71))) % 16.41/16.61 (define @t386 () (= @t380 @t38)) % 16.41/16.61 (define @t387 () (or @t386 @t385)) % 16.41/16.61 (define @t388 () (= @t387 @t384)) % 16.41/16.61 (define @t389 () (= @t374 @t372)) % 16.41/16.61 (define @t390 () (@const 5 tptp.a)) % 16.41/16.61 (define @t391 () (= @t36 @t390)) % 16.41/16.61 (define @t392 () (= @t57 @t390)) % 16.41/16.61 (define @t393 () (= @t392 @t391)) % 16.41/16.61 (define @t394 () (and @t258 @t392)) % 16.41/16.61 (define @t395 () (not @t392)) % 16.41/16.61 (define @t396 () (not @t391)) % 16.41/16.61 (define @t397 () (and @t258 @t395)) % 16.41/16.61 (define @t398 () (_ @t369 @t390)) % 16.41/16.61 (define @t399 () (_ @t370 @t390)) % 16.41/16.61 (define @t400 () (_ @t38 @t390)) % 16.41/16.61 (define @t401 () (_ @t39 @t390)) % 16.41/16.61 (define @t402 () (= @t401 @t399)) % 16.41/16.61 (define @t403 () (not @t402)) % 16.41/16.61 (define @t404 () (or @t371 @t403)) % 16.41/16.61 (define @t405 () (= @t80 (= @t57 @t13))) % 16.41/16.61 (define @t406 () (forall @t14 (= @t68 (= @t13 @t57)))) % 16.41/16.61 (define @t407 () (not @t362)) % 16.41/16.61 (define @t408 () (and @t48 @t258 @t362 @t132)) % 16.41/16.61 (assume @p1 @t28) % 16.41/16.61 (assume @p2 true) % 16.41/16.61 (step @p3 :rule bool-impl-false1 :args (@t40)) % 16.41/16.61 (step @p4 :rule evaluate :args ((not true))) % 16.41/16.61 (step @p5 :rule eq-refl :args (@t36)) % 16.41/16.61 (step @p6 :rule cong :premises (@p5) :args (@t42)) % 16.41/16.61 (step @p7 :rule trans :premises (@p6 @p4)) % 16.41/16.61 (step @p8 :rule quant-var-elim-eq :args ((= (forall @t14 @t44) @t42))) % 16.41/16.61 (step @p9 :rule aci_norm :args ((= @t43 @t44))) % 16.41/16.61 (step @p10 :rule cong :premises (@p9) :args ((forall @t14 @t43))) % 16.41/16.61 (step @p11 :rule trans :premises (@p10 @p8)) % 16.41/16.61 (step @p12 :rule trans :premises (@p11 @p7)) % 16.41/16.61 (step @p13 :rule bool-eq-false :args (@t37)) % 16.41/16.61 (step @p14 :rule cong :premises (@p13) :args (@t45)) % 16.41/16.61 (step @p15 :rule trans :premises (@p14 @p12)) % 16.41/16.61 (step @p16 :rule refl :args (@t40)) % 16.41/16.61 (step @p17 :rule cong :premises (@p16 @p15) :args (@t46)) % 16.41/16.61 (step @p18 :rule trans :premises (@p17 @p3)) % 16.41/16.61 ; WARNING: add trust step for TRUST % 16.41/16.61 ; trust TRUST THEORY_LEMMA % 16.41/16.61 (step @p19 :rule trust :premises () :args (@t46)) % 16.41/16.61 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 16.41/16.61 (step @p21 :rule bool-double-not-elim :args (@t48)) % 16.41/16.61 (step @p22 :rule bool-eq-false :args (@t48)) % 16.41/16.61 (step @p23 :rule evaluate :args ((not false))) % 16.41/16.61 (step @p24 :rule beta-reduce :args ((= @t49 false))) % 16.41/16.61 (step @p25 :rule cong :premises (@p24) :args ((not @t49))) % 16.41/16.61 (step @p26 :rule trans :premises (@p25 @p23)) % 16.41/16.61 (step @p27 :rule refl :args (@t47)) % 16.41/16.61 (step @p28 :rule skolem_intro :args (@t30)) % 16.41/16.61 (step @p29 :rule ho_cong :premises (@p28 @p27)) % 16.41/16.61 (step @p30 :rule cong :premises (@p29) :args ((not @t50))) % 16.41/16.61 (step @p31 :rule bool-eq-false :args (@t50)) % 16.41/16.61 (step @p32 :rule trans :premises (@p31 @p30 @p26)) % 16.41/16.61 (step @p33 :rule true_elim :premises (@p32)) % 16.41/16.61 (step @p34 :rule eq-refl :args (@t48)) % 16.41/16.61 (step @p35 :rule eq-symm :args (@t47 @t36)) % 16.41/16.61 (step @p36 :rule beta-reduce :args ((= @t51 (= @t47 @t36)))) % 16.41/16.61 (step @p37 :rule trans :premises (@p36 @p35)) % 16.41/16.61 (step @p38 :rule refl :args (@t48)) % 16.41/16.61 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t48 @t51))) % 16.41/16.61 (step @p40 :rule trans :premises (@p39 @p34)) % 16.41/16.61 (step @p41 :rule eq-symm :args (@t51 @t48)) % 16.41/16.61 (step @p42 :rule trans :premises (@p41 @p40)) % 16.41/16.61 (step @p43 :rule skolem_intro :args (@t39)) % 16.41/16.61 (step @p44 :rule ho_cong :premises (@p43 @p27)) % 16.41/16.61 (step @p45 :rule cong :premises (@p44 @p38) :args ((= @t52 @t48))) % 16.41/16.61 (step @p46 :rule trans :premises (@p45 @p42)) % 16.41/16.61 (step @p47 :rule true_elim :premises (@p46)) % 16.41/16.61 (step @p48 :rule cong :premises (@p47 @p33) :args (@t53)) % 16.41/16.61 (step @p49 :rule trans :premises (@p48 @p22)) % 16.41/16.61 (step @p50 :rule cong :premises (@p49) :args (@t54)) % 16.41/16.61 (step @p51 :rule trans :premises (@p50 @p21)) % 16.41/16.61 (step @p52 :rule nary_cong :premises (@p16 @p51) :args (@t55)) % 16.41/16.61 ; trust TRUST THEORY_LEMMA % 16.41/16.61 (step @p53 :rule trust :premises () :args (@t55)) % 16.41/16.61 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 16.41/16.61 (step @p55 :rule chain_m_resolution :premises (@p54 @p20) :args (@t48 @t56 (@list @t40))) % 16.41/16.61 (step @p56 :rule cnf_and_neg :args (@t62)) % 16.41/16.61 (step @p57 :rule eq-symm :args (@t34 @t5)) % 16.41/16.61 (step @p58 :rule refl :args (@t5)) % 16.41/16.61 (step @p59 :rule refl :args (@t31)) % 16.41/16.61 (step @p60 :rule refl :args (@t32)) % 16.41/16.61 (step @p61 :rule refl :args (@t9)) % 16.41/16.61 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t9 @t32))) % 16.41/16.61 (step @p63 :rule symm :premises (@p62)) % 16.41/16.61 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 16.41/16.61 (step @p65 :rule cong :premises (@p64 @p59) :args (@t63)) % 16.41/16.61 (step @p66 :rule cong :premises (@p65) :args ((forall @t11 @t63))) % 16.41/16.61 (step @p67 :rule eq-symm :args (@t6 @t1)) % 16.41/16.61 (step @p68 :rule eq-symm :args (@t6 @t3)) % 16.41/16.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t7)) % 16.41/16.61 (step @p70 :rule refl :args (@t9)) % 16.41/16.61 (step @p71 :rule cong :premises (@p70 @p69) :args (@t10)) % 16.41/16.61 (step @p72 :rule cong :premises (@p71) :args (@t12)) % 16.41/16.61 (step @p73 :rule trans :premises (@p72 @p66)) % 16.41/16.61 (step @p74 :rule refl :args (@t15)) % 16.41/16.61 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t16)) % 16.41/16.61 (step @p76 :rule eq-symm :args (@t32 @t33)) % 16.41/16.61 (step @p77 :rule cong :premises (@p76) :args ((forall @t11 (= @t32 @t33)))) % 16.41/16.61 (step @p78 :rule refl :args (@t33)) % 16.41/16.61 (step @p79 :rule cong :premises (@p64 @p78) :args (@t64)) % 16.41/16.61 (step @p80 :rule cong :premises (@p79) :args ((forall @t11 @t64))) % 16.41/16.61 (step @p81 :rule trans :premises (@p80 @p77)) % 16.41/16.61 (step @p82 :rule eq-symm :args (@t6 @t2)) % 16.41/16.61 (step @p83 :rule eq-symm :args (@t6 @t4)) % 16.41/16.61 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t17)) % 16.41/16.61 (step @p85 :rule cong :premises (@p70 @p84) :args (@t18)) % 16.41/16.61 (step @p86 :rule cong :premises (@p85) :args (@t19)) % 16.41/16.61 (step @p87 :rule trans :premises (@p86 @p81)) % 16.41/16.61 (step @p88 :rule refl :args (@t20)) % 16.41/16.61 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t21)) % 16.41/16.61 (step @p90 :rule cong :premises (@p89 @p75) :args (@t22)) % 16.41/16.61 (step @p91 :rule cong :premises (@p90) :args (@t24)) % 16.41/16.61 (step @p92 :rule cong :premises (@p91 @p58) :args (@t25)) % 16.41/16.61 (step @p93 :rule trans :premises (@p92 @p57)) % 16.41/16.61 (step @p94 :rule cong :premises (@p93) :args (@t27)) % 16.41/16.61 (step @p95 :rule cong :premises (@p94) :args (@t28)) % 16.41/16.61 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 16.41/16.61 (step @p97 :rule refl :args (@t74)) % 16.41/16.61 (step @p98 :rule bool-double-not-elim :args (@t35)) % 16.41/16.61 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t75) @t74))) % 16.41/16.61 (step @p100 :rule eq-symm :args (@t57 @t6)) % 16.41/16.61 (step @p101 :rule eq-symm :args (@t60 @t6)) % 16.41/16.61 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t77)) % 16.41/16.61 (step @p103 :rule refl :args (@t32)) % 16.41/16.61 (step @p104 :rule cong :premises (@p103 @p102) :args (@t78)) % 16.41/16.61 (step @p105 :rule cong :premises (@p104) :args (@t79)) % 16.41/16.61 (step @p106 :rule eq-symm :args (@t60 @t13)) % 16.41/16.61 (step @p107 :rule cong :premises (@p106) :args (@t81)) % 16.41/16.61 (step @p108 :rule refl :args (@t8)) % 16.41/16.61 (step @p109 :rule cong :premises (@p108 @p107) :args (@t82)) % 16.41/16.61 (step @p110 :rule nary_cong :premises (@p109 @p105) :args (@t83)) % 16.41/16.61 (step @p111 :rule eq-symm :args (@t58 @t6)) % 16.41/16.61 (step @p112 :rule eq-symm :args (@t36 @t6)) % 16.41/16.61 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t85)) % 16.41/16.61 (step @p114 :rule cong :premises (@p103 @p113) :args ((= @t32 @t85))) % 16.41/16.61 (step @p115 :rule eq-symm :args (@t85 @t32)) % 16.41/16.61 (step @p116 :rule trans :premises (@p115 @p114)) % 16.41/16.61 (step @p117 :rule cong :premises (@p116) :args (@t86)) % 16.41/16.61 (step @p118 :rule eq-symm :args (@t36 @t13)) % 16.41/16.61 (step @p119 :rule cong :premises (@p118) :args (@t87)) % 16.41/16.61 (step @p120 :rule cong :premises (@p108 @p119) :args (@t88)) % 16.41/16.61 (step @p121 :rule nary_cong :premises (@p120 @p117) :args (@t89)) % 16.41/16.61 (step @p122 :rule cong :premises (@p121 @p110) :args (@t90)) % 16.41/16.61 (step @p123 :rule cong :premises (@p122) :args (@t91)) % 16.41/16.61 (step @p124 :rule refl :args (@t62)) % 16.41/16.61 (step @p125 :rule cong :premises (@p124 @p123) :args (@t92)) % 16.41/16.61 (step @p126 :rule cong :premises (@p125) :args (@t93)) % 16.41/16.61 (step @p127 :rule refl :args (@t75)) % 16.41/16.61 (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t75 @t93))) % 16.41/16.61 (assume-push @p1426 @t75) % 16.41/16.61 (step @p130 :rule skolemize :premises (@p96)) % 16.41/16.61 (step-pop @p1427 :rule scope :premises (@p130)) % 16.41/16.61 (step @p131 :rule process_scope :premises (@p1427) :args (@t93)) % 16.41/16.61 (step @p133 :rule eq_resolve :premises (@p131 @p128)) % 16.41/16.61 (step @p134 :rule implies_elim :premises (@p133)) % 16.41/16.61 (step @p135 :rule eq_resolve :premises (@p134 @p99)) % 16.41/16.61 (step @p136 :rule chain_m_resolution :premises (@p135 @p96) :args (@t74 @t56 (@list @t35))) % 16.41/16.61 (step @p137 :rule cnf_equiv_neg2 :args (@t73)) % 16.41/16.61 (step @p138 :rule refl :args (@t104)) % 16.41/16.61 (step @p139 :rule bool-double-not-elim :args (@t72)) % 16.41/16.61 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or (not @t105) @t104))) % 16.41/16.61 (step @p141 :rule eq-symm :args (@t98 @t102)) % 16.41/16.61 (step @p142 :rule refl :args (@t99)) % 16.41/16.61 (step @p143 :rule eq-symm :args (@t100 @t94)) % 16.41/16.61 (step @p144 :rule refl :args (@t94)) % 16.41/16.61 (step @p145 :rule eq-refl :args (@t69)) % 16.41/16.61 (step @p146 :rule skolem_intro :args (@t100)) % 16.41/16.61 (step @p147 :rule refl :args (@t69)) % 16.41/16.61 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t69 @t100))) % 16.41/16.61 (step @p149 :rule trans :premises (@p148 @p145)) % 16.41/16.61 (step @p150 :rule true_elim :premises (@p149)) % 16.41/16.61 (step @p151 :rule cong :premises (@p150 @p144) :args (@t106)) % 16.41/16.61 (step @p152 :rule trans :premises (@p151 @p143)) % 16.41/16.61 (step @p153 :rule nary_cong :premises (@p152 @p142) :args (@t107)) % 16.41/16.61 (step @p154 :rule refl :args (@t96)) % 16.41/16.61 (step @p155 :rule eq-symm :args (@t39 @t94)) % 16.41/16.61 (step @p156 :rule eq-refl :args (@t38)) % 16.41/16.61 (step @p157 :rule refl :args (@t38)) % 16.41/16.61 (step @p158 :rule cong :premises (@p157 @p43) :args ((= @t38 @t39))) % 16.41/16.61 (step @p159 :rule trans :premises (@p158 @p156)) % 16.41/16.61 (step @p160 :rule true_elim :premises (@p159)) % 16.41/16.61 (step @p161 :rule cong :premises (@p160 @p144) :args (@t108)) % 16.41/16.61 (step @p162 :rule trans :premises (@p161 @p155)) % 16.41/16.61 (step @p163 :rule nary_cong :premises (@p162 @p154) :args (@t109)) % 16.41/16.61 (step @p164 :rule cong :premises (@p163 @p153) :args (@t110)) % 16.41/16.61 (step @p165 :rule trans :premises (@p164 @p141)) % 16.41/16.61 (step @p166 :rule cong :premises (@p165) :args (@t111)) % 16.41/16.61 (step @p167 :rule refl :args (@t105)) % 16.41/16.61 (step @p168 :rule cong :premises (@p167 @p166) :args ((=> @t105 @t111))) % 16.41/16.61 (step @p169 :rule eq-symm :args (@t95 @t67)) % 16.41/16.61 (step @p170 :rule cong :premises (@p169) :args (@t112)) % 16.41/16.61 (step @p171 :rule eq-symm :args (@t94 @t69)) % 16.41/16.61 (step @p172 :rule nary_cong :premises (@p171 @p170) :args (@t113)) % 16.41/16.61 (step @p173 :rule eq-symm :args (@t95 @t71)) % 16.41/16.61 (step @p174 :rule cong :premises (@p173) :args (@t114)) % 16.41/16.61 (step @p175 :rule eq-symm :args (@t94 @t38)) % 16.41/16.61 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t115)) % 16.41/16.61 (step @p177 :rule cong :premises (@p176 @p172) :args (@t116)) % 16.41/16.61 (step @p178 :rule cong :premises (@p177) :args (@t117)) % 16.41/16.61 (step @p179 :rule cong :premises (@p167 @p178) :args ((=> @t105 @t117))) % 16.41/16.61 (step @p180 :rule trans :premises (@p179 @p168)) % 16.41/16.61 (assume-push @p1428 @t105) % 16.41/16.61 (step @p182 :rule skolemize :premises (@p1428)) % 16.41/16.61 (step-pop @p1429 :rule scope :premises (@p182)) % 16.41/16.61 (step @p183 :rule process_scope :premises (@p1429) :args (@t117)) % 16.41/16.61 (step @p185 :rule eq_resolve :premises (@p183 @p180)) % 16.41/16.61 (step @p186 :rule implies_elim :premises (@p185)) % 16.41/16.61 (step @p187 :rule eq_resolve :premises (@p186 @p140)) % 16.41/16.61 (step @p188 :rule cnf_or_neg :args (@t102 0)) % 16.41/16.61 (step @p189 :rule cnf_equiv_neg2 :args (@t103)) % 16.41/16.61 (step @p190 :rule cnf_or_neg :args (@t98 0)) % 16.41/16.61 (step @p191 :rule eq-refl :args (@t119)) % 16.41/16.61 (step @p192 :rule eq-symm :args (@t118 @t36)) % 16.41/16.61 (step @p193 :rule beta-reduce :args ((= @t120 (= @t118 @t36)))) % 16.41/16.61 (step @p194 :rule trans :premises (@p193 @p192)) % 16.41/16.61 (step @p195 :rule refl :args (@t119)) % 16.41/16.61 (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t119 @t120))) % 16.41/16.61 (step @p197 :rule trans :premises (@p196 @p191)) % 16.41/16.61 (step @p198 :rule eq-symm :args (@t120 @t119)) % 16.41/16.61 (step @p199 :rule trans :premises (@p198 @p197)) % 16.41/16.61 (step @p200 :rule refl :args (@t118)) % 16.41/16.61 (step @p201 :rule ho_cong :premises (@p43 @p200)) % 16.41/16.61 (step @p202 :rule cong :premises (@p201 @p195) :args ((= @t121 @t119))) % 16.41/16.61 (step @p203 :rule trans :premises (@p202 @p199)) % 16.41/16.61 (step @p204 :rule true_elim :premises (@p203)) % 16.41/16.61 (step @p205 :rule refl :args (@t122)) % 16.41/16.61 (step @p206 :rule cong :premises (@p205 @p204) :args (@t123)) % 16.41/16.61 (step @p207 :rule cong :premises (@p206) :args (@t124)) % 16.41/16.61 (step @p208 :rule refl :args (@t97)) % 16.41/16.61 (step @p209 :rule nary_cong :premises (@p208 @p207) :args (@t125)) % 16.41/16.61 ; trust TRUST THEORY_LEMMA % 16.41/16.61 (step @p210 :rule trust :premises () :args (@t125)) % 16.41/16.61 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 16.41/16.61 ; trust TRUST THEORY_LEMMA % 16.41/16.61 (step @p212 :rule trust :premises () :args ((=> @t101 @t127))) % 16.41/16.61 (step @p213 :rule implies_elim :premises (@p212)) % 16.41/16.61 (step @p214 :rule cnf_equiv_neg2 :args (@t128)) % 16.41/16.61 (step @p215 :rule cnf_equiv_pos1 :args (@t127)) % 16.41/16.61 (step @p216 :rule reordering :premises (@p215) :args ((or @t130 @t126 @t129))) % 16.41/16.61 (step @p217 :rule refl :args (@t131)) % 16.41/16.61 (step @p218 :rule bool-double-not-elim :args (@t119)) % 16.41/16.61 (step @p219 :rule refl :args (@t132)) % 16.41/16.61 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217) :args ((or @t132 (not @t133) @t131))) % 16.41/16.61 (assume-push @p1430 @t61) % 16.41/16.61 (assume-push @p1431 @t133) % 16.41/16.61 (assume-push @p1432 @t133) % 16.41/16.61 (assume-push @p1433 @t61) % 16.41/16.61 (step @p225 :rule false_intro :premises (@p1431)) % 16.41/16.61 (step @p226 :rule symm :premises (@p1430)) % 16.41/16.61 (step @p227 :rule cong :premises (@p226 @p200) :args (@t126)) % 16.41/16.61 (step @p228 :rule trans :premises (@p227 @p225)) % 16.41/16.61 (step @p229 :rule false_elim :premises (@p228)) % 16.41/16.61 (step-pop @p1434 :rule scope :premises (@p229)) % 16.41/16.61 (step-pop @p1435 :rule scope :premises (@p1434)) % 16.41/16.61 (step @p230 :rule process_scope :premises (@p1435) :args (@t131)) % 16.41/16.61 (step @p233 :rule and_intro :premises (@p1431 @p1430)) % 16.41/16.61 (step @p234 :rule modus_ponens :premises (@p233 @p230)) % 16.41/16.61 (step-pop @p1436 :rule scope :premises (@p234)) % 16.41/16.61 (step-pop @p1437 :rule scope :premises (@p1436)) % 16.41/16.61 (step @p235 :rule process_scope :premises (@p1437) :args (@t131)) % 16.41/16.61 (step @p238 :rule implies_elim :premises (@p235)) % 16.41/16.61 (step @p239 :rule cnf_and_neg :args (@t134)) % 16.41/16.61 (step @p240 :rule resolution :premises (@p239 @p238) :args (true @t134)) % 16.41/16.61 (step @p241 :rule eq_resolve :premises (@p240 @p220)) % 16.41/16.61 (step @p242 :rule chain_m_resolution :premises (@p241 @p216 @p214) :args ((or @t132 @t128 @t130 @t129) @t135 (@list @t126 @t119))) % 16.41/16.61 (step @p243 :rule cnf_equiv_neg1 :args (@t128)) % 16.41/16.61 (step @p244 :rule reordering :premises (@p243) :args ((or @t122 @t119 @t128))) % 16.41/16.61 (step @p245 :rule cnf_equiv_pos2 :args (@t127)) % 16.41/16.61 (step @p246 :rule reordering :premises (@p245) :args ((or @t122 @t131 @t129))) % 16.41/16.61 (assume-push @p1438 @t61) % 16.41/16.61 (assume-push @p1439 @t119) % 16.41/16.61 (assume-push @p1440 @t119) % 16.41/16.61 (assume-push @p1441 @t61) % 16.41/16.61 (step @p251 :rule symm :premises (@p1438)) % 16.41/16.61 (step @p252 :rule trans :premises (@p251 @p1439)) % 16.41/16.61 (step-pop @p1442 :rule scope :premises (@p252)) % 16.41/16.61 (step-pop @p1443 :rule scope :premises (@p1442)) % 16.41/16.61 (step @p253 :rule process_scope :premises (@p1443) :args (@t126)) % 16.41/16.61 (step @p256 :rule and_intro :premises (@p1439 @p1438)) % 16.41/16.61 (step @p257 :rule modus_ponens :premises (@p256 @p253)) % 16.41/16.61 (step-pop @p1444 :rule scope :premises (@p257)) % 16.41/16.61 (step-pop @p1445 :rule scope :premises (@p1444)) % 16.41/16.61 (step @p258 :rule process_scope :premises (@p1445) :args (@t126)) % 16.41/16.61 (step @p261 :rule implies_elim :premises (@p258)) % 16.41/16.61 (step @p262 :rule cnf_and_neg :args (@t136)) % 16.41/16.61 (step @p263 :rule resolution :premises (@p262 @p261) :args (true @t136)) % 16.41/16.61 (step @p264 :rule chain_m_resolution :premises (@p263 @p246 @p244 @p242 @p213 @p211 @p190 @p189 @p188) :args ((or @t132 @t103 (not @t101)) (@list true false true false true true true false) (@list @t126 @t119 @t122 @t127 @t128 @t97 @t98 @t102))) % 16.41/16.61 (step @p265 :rule eq-refl :args (@t138)) % 16.41/16.61 (step @p266 :rule eq-symm :args (@t137 @t60)) % 16.41/16.61 (step @p267 :rule beta-reduce :args ((= @t139 (= @t137 @t60)))) % 16.41/16.61 (step @p268 :rule trans :premises (@p267 @p266)) % 16.41/16.61 (step @p269 :rule refl :args (@t138)) % 16.41/16.61 (step @p270 :rule cong :premises (@p269 @p268) :args ((= @t138 @t139))) % 16.41/16.61 (step @p271 :rule trans :premises (@p270 @p265)) % 16.41/16.61 (step @p272 :rule eq-symm :args (@t139 @t138)) % 16.41/16.61 (step @p273 :rule trans :premises (@p272 @p271)) % 16.41/16.61 (step @p274 :rule refl :args (@t137)) % 16.41/16.61 (step @p275 :rule ho_cong :premises (@p146 @p274)) % 16.41/16.61 (step @p276 :rule cong :premises (@p275 @p269) :args ((= @t140 @t138))) % 16.41/16.61 (step @p277 :rule trans :premises (@p276 @p273)) % 16.41/16.61 (step @p278 :rule true_elim :premises (@p277)) % 16.41/16.61 (step @p279 :rule refl :args (@t141)) % 16.41/16.61 (step @p280 :rule cong :premises (@p279 @p278) :args (@t142)) % 16.41/16.61 (step @p281 :rule cong :premises (@p280) :args (@t143)) % 16.41/16.61 (step @p282 :rule refl :args (@t101)) % 16.41/16.61 (step @p283 :rule nary_cong :premises (@p282 @p281) :args (@t144)) % 16.41/16.61 ; trust TRUST THEORY_LEMMA % 16.41/16.61 (step @p284 :rule trust :premises () :args (@t144)) % 16.41/16.61 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 16.41/16.61 (step @p286 :rule cnf_or_neg :args (@t102 1)) % 16.41/16.61 (step @p287 :rule cnf_or_neg :args (@t98 1)) % 16.41/16.61 (step @p288 :rule refl :args (@t151)) % 16.41/16.61 (step @p289 :rule bool-double-not-elim :args (@t96)) % 16.41/16.61 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or (not @t152) @t151))) % 16.41/16.61 (step @p291 :rule eq-symm :args (@t148 @t149)) % 16.41/16.61 (step @p292 :rule refl :args (@t149)) % 16.41/16.61 (step @p293 :rule eq-symm :args (@t145 @t58)) % 16.41/16.61 (step @p294 :rule eq-symm :args (@t145 @t36)) % 16.41/16.61 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t153)) % 16.41/16.61 (step @p296 :rule cong :premises (@p295 @p292) :args (@t154)) % 16.41/16.61 (step @p297 :rule trans :premises (@p296 @p291)) % 16.41/16.61 (step @p298 :rule cong :premises (@p297) :args (@t155)) % 16.41/16.61 (step @p299 :rule refl :args (@t152)) % 16.41/16.61 (step @p300 :rule cong :premises (@p299 @p298) :args ((=> @t152 @t155))) % 16.41/16.61 (assume-push @p1446 @t152) % 16.41/16.61 (step @p302 :rule skolemize :premises (@p1446)) % 16.41/16.61 (step-pop @p1447 :rule scope :premises (@p302)) % 16.41/16.61 (step @p303 :rule process_scope :premises (@p1447) :args (@t155)) % 16.41/16.61 (step @p305 :rule eq_resolve :premises (@p303 @p300)) % 16.41/16.61 (step @p306 :rule implies_elim :premises (@p305)) % 16.41/16.61 (step @p307 :rule eq_resolve :premises (@p306 @p290)) % 16.41/16.61 (step @p308 :rule eq-symm :args (@t145 @t57)) % 16.41/16.61 (step @p309 :rule eq-symm :args (@t145 @t60)) % 16.41/16.61 (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t156)) % 16.41/16.61 (step @p311 :rule cong :premises (@p292 @p310) :args ((= @t149 @t156))) % 16.41/16.61 (step @p312 :rule eq-symm :args (@t156 @t149)) % 16.41/16.61 (step @p313 :rule trans :premises (@p312 @p311)) % 16.41/16.61 (step @p314 :rule cong :premises (@p142 @p313) :args ((=> @t99 @t157))) % 16.41/16.61 (assume-push @p1448 @t99) % 16.41/16.61 (step @p316 :rule instantiate :premises (@p1448) :args ((@list @t145))) % 16.41/16.61 (step-pop @p1449 :rule scope :premises (@p316)) % 16.41/16.61 (step @p317 :rule process_scope :premises (@p1449) :args (@t157)) % 16.41/16.61 (step @p319 :rule eq_resolve :premises (@p317 @p314)) % 16.41/16.61 (step @p320 :rule implies_elim :premises (@p319)) % 16.41/16.61 (step @p321 :rule cnf_equiv_neg2 :args (@t150)) % 16.41/16.61 (step @p322 :rule cnf_equiv_pos1 :args (@t161)) % 16.41/16.61 (step @p323 :rule reordering :premises (@p322) :args ((or @t163 @t160 @t162))) % 16.41/16.61 (step @p324 :rule cnf_or_neg :args (@t148 0)) % 16.41/16.61 (step @p325 :rule cnf_or_neg :args (@t148 1)) % 16.41/16.61 (step @p326 :rule refl :args (@t164)) % 16.41/16.61 (step @p327 :rule bool-double-not-elim :args (@t147)) % 16.41/16.61 (step @p328 :rule nary_cong :premises (@p219 @p327 @p326) :args ((or @t132 (not @t165) @t164))) % 16.41/16.61 (assume-push @p1450 @t61) % 16.41/16.61 (assume-push @p1451 @t165) % 16.41/16.61 (assume-push @p1452 @t165) % 16.41/16.61 (assume-push @p1453 @t61) % 16.41/16.61 (step @p333 :rule false_intro :premises (@p1451)) % 16.41/16.61 (step @p334 :rule refl :args (@t145)) % 16.41/16.61 (step @p335 :rule symm :premises (@p1450)) % 16.41/16.61 (step @p336 :rule cong :premises (@p335 @p334) :args (@t159)) % 16.41/16.61 (step @p337 :rule trans :premises (@p336 @p333)) % 16.41/16.61 (step @p338 :rule false_elim :premises (@p337)) % 16.41/16.61 (step-pop @p1454 :rule scope :premises (@p338)) % 16.41/16.61 (step-pop @p1455 :rule scope :premises (@p1454)) % 16.41/16.61 (step @p339 :rule process_scope :premises (@p1455) :args (@t164)) % 16.41/16.61 (step @p342 :rule and_intro :premises (@p1451 @p1450)) % 16.41/16.61 (step @p343 :rule modus_ponens :premises (@p342 @p339)) % 16.41/16.61 (step-pop @p1456 :rule scope :premises (@p343)) % 16.41/16.61 (step-pop @p1457 :rule scope :premises (@p1456)) % 16.41/16.61 (step @p344 :rule process_scope :premises (@p1457) :args (@t164)) % 16.41/16.61 (step @p347 :rule implies_elim :premises (@p344)) % 16.41/16.61 (step @p348 :rule cnf_and_neg :args (@t166)) % 16.41/16.61 (step @p349 :rule resolution :premises (@p348 @p347) :args (true @t166)) % 16.41/16.61 (step @p350 :rule eq_resolve :premises (@p349 @p328)) % 16.41/16.61 (step @p351 :rule refl :args (@t167)) % 16.41/16.61 (step @p352 :rule bool-double-not-elim :args (@t146)) % 16.41/16.61 (step @p353 :rule refl :args (@t168)) % 16.41/16.61 (step @p354 :rule nary_cong :premises (@p353 @p352 @p351) :args ((or @t168 (not @t169) @t167))) % 16.41/16.61 (assume-push @p1458 @t59) % 16.41/16.61 (assume-push @p1459 @t169) % 16.41/16.61 (assume-push @p1460 @t169) % 16.41/16.61 (assume-push @p1461 @t59) % 16.41/16.61 (step @p359 :rule false_intro :premises (@p1459)) % 16.41/16.61 (step @p334 :rule refl :args (@t145)) % 16.41/16.61 (step @p360 :rule symm :premises (@p1458)) % 16.41/16.61 (step @p361 :rule cong :premises (@p360 @p334) :args (@t158)) % 16.41/16.61 (step @p362 :rule trans :premises (@p361 @p359)) % 16.41/16.61 (step @p363 :rule false_elim :premises (@p362)) % 16.41/16.61 (step-pop @p1462 :rule scope :premises (@p363)) % 16.41/16.61 (step-pop @p1463 :rule scope :premises (@p1462)) % 16.41/16.61 (step @p364 :rule process_scope :premises (@p1463) :args (@t167)) % 16.41/16.61 (step @p367 :rule and_intro :premises (@p1459 @p1458)) % 16.41/16.61 (step @p368 :rule modus_ponens :premises (@p367 @p364)) % 16.41/16.61 (step-pop @p1464 :rule scope :premises (@p368)) % 16.41/16.61 (step-pop @p1465 :rule scope :premises (@p1464)) % 16.41/16.61 (step @p369 :rule process_scope :premises (@p1465) :args (@t167)) % 16.41/16.61 (step @p372 :rule implies_elim :premises (@p369)) % 16.41/16.61 (step @p373 :rule cnf_and_neg :args (@t170)) % 16.41/16.61 (step @p374 :rule resolution :premises (@p373 @p372) :args (true @t170)) % 16.41/16.61 (step @p375 :rule eq_resolve :premises (@p374 @p354)) % 16.41/16.61 (step @p376 :rule cnf_or_pos :args (@t160)) % 16.41/16.61 (step @p377 :rule reordering :premises (@p376) :args ((or @t159 @t158 @t171))) % 16.41/16.61 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p350 @p325 @p324 @p323 @p321) :args ((or @t132 @t168 @t150 @t163 @t162) (@list true true true true false true) (@list @t158 @t159 @t146 @t147 @t160 @t148))) % 16.41/16.61 (step @p379 :rule cnf_equiv_neg1 :args (@t150)) % 16.41/16.61 (step @p380 :rule reordering :premises (@p379) :args ((or @t149 @t148 @t150))) % 16.41/16.61 (step @p381 :rule cnf_equiv_pos2 :args (@t161)) % 16.41/16.61 (step @p382 :rule reordering :premises (@p381) :args ((or @t149 @t171 @t162))) % 16.41/16.61 (step @p383 :rule cnf_or_neg :args (@t160 0)) % 16.41/16.61 (step @p384 :rule reordering :premises (@p383) :args ((or @t164 @t160))) % 16.41/16.61 (step @p385 :rule cnf_or_neg :args (@t160 1)) % 16.41/16.61 (step @p386 :rule refl :args (@t165)) % 16.41/16.61 (step @p387 :rule bool-double-not-elim :args (@t159)) % 16.41/16.61 (step @p388 :rule nary_cong :premises (@p219 @p387 @p386) :args ((or @t132 (not @t164) @t165))) % 16.41/16.61 (assume-push @p1466 @t61) % 16.41/16.61 (assume-push @p1467 @t164) % 16.41/16.61 (assume-push @p1468 @t164) % 16.41/16.61 (assume-push @p1469 @t61) % 16.41/16.61 (step @p393 :rule false_intro :premises (@p1467)) % 16.41/16.61 (step @p334 :rule refl :args (@t145)) % 16.41/16.61 (step @p394 :rule cong :premises (@p1466 @p334) :args (@t147)) % 16.41/16.61 (step @p395 :rule trans :premises (@p394 @p393)) % 16.41/16.61 (step @p396 :rule false_elim :premises (@p395)) % 16.41/16.61 (step-pop @p1470 :rule scope :premises (@p396)) % 16.41/16.61 (step-pop @p1471 :rule scope :premises (@p1470)) % 16.41/16.61 (step @p397 :rule process_scope :premises (@p1471) :args (@t165)) % 16.41/16.61 (step @p400 :rule and_intro :premises (@p1467 @p1466)) % 16.41/16.61 (step @p401 :rule modus_ponens :premises (@p400 @p397)) % 16.41/16.61 (step-pop @p1472 :rule scope :premises (@p401)) % 16.41/16.61 (step-pop @p1473 :rule scope :premises (@p1472)) % 16.41/16.61 (step @p402 :rule process_scope :premises (@p1473) :args (@t165)) % 16.41/16.61 (step @p405 :rule implies_elim :premises (@p402)) % 16.41/16.61 (step @p406 :rule cnf_and_neg :args (@t172)) % 16.41/16.61 (step @p407 :rule resolution :premises (@p406 @p405) :args (true @t172)) % 16.41/16.61 (step @p408 :rule eq_resolve :premises (@p407 @p388)) % 16.41/16.61 (step @p409 :rule reordering :premises (@p408) :args ((or @t132 @t165 @t159))) % 16.41/16.61 (step @p410 :rule refl :args (@t169)) % 16.41/16.61 (step @p411 :rule bool-double-not-elim :args (@t158)) % 16.41/16.61 (step @p412 :rule nary_cong :premises (@p353 @p411 @p410) :args ((or @t168 (not @t167) @t169))) % 16.41/16.61 (assume-push @p1474 @t59) % 16.41/16.61 (assume-push @p1475 @t167) % 16.41/16.61 (assume-push @p1476 @t167) % 16.41/16.61 (assume-push @p1477 @t59) % 16.41/16.61 (step @p417 :rule false_intro :premises (@p1475)) % 16.41/16.61 (step @p334 :rule refl :args (@t145)) % 16.41/16.61 (step @p418 :rule cong :premises (@p1474 @p334) :args (@t146)) % 16.41/16.61 (step @p419 :rule trans :premises (@p418 @p417)) % 16.41/16.61 (step @p420 :rule false_elim :premises (@p419)) % 16.41/16.61 (step-pop @p1478 :rule scope :premises (@p420)) % 16.41/16.61 (step-pop @p1479 :rule scope :premises (@p1478)) % 16.41/16.61 (step @p421 :rule process_scope :premises (@p1479) :args (@t169)) % 16.41/16.61 (step @p424 :rule and_intro :premises (@p1475 @p1474)) % 16.41/16.61 (step @p425 :rule modus_ponens :premises (@p424 @p421)) % 16.41/16.61 (step-pop @p1480 :rule scope :premises (@p425)) % 16.41/16.61 (step-pop @p1481 :rule scope :premises (@p1480)) % 16.41/16.61 (step @p426 :rule process_scope :premises (@p1481) :args (@t169)) % 16.41/16.61 (step @p429 :rule implies_elim :premises (@p426)) % 16.41/16.61 (step @p430 :rule cnf_and_neg 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16.41/16.62 (step @p497 :rule process_scope :premises (@p1497) :args (@t186)) % 16.41/16.62 (step @p500 :rule and_intro :premises (@p1493 @p1492)) % 16.41/16.62 (step @p501 :rule modus_ponens :premises (@p500 @p497)) % 16.41/16.62 (step-pop @p1498 :rule scope :premises (@p501)) % 16.41/16.62 (step-pop @p1499 :rule scope :premises (@p1498)) % 16.41/16.62 (step @p502 :rule process_scope :premises (@p1499) :args (@t186)) % 16.41/16.62 (step @p505 :rule implies_elim :premises (@p502)) % 16.41/16.62 (step @p506 :rule cnf_and_neg :args (@t193)) % 16.41/16.62 (step @p507 :rule resolution :premises (@p506 @p505) :args (true @t193)) % 16.41/16.62 (step @p508 :rule chain_m_resolution :premises (@p507 @p491 @p489 @p487) :args ((or @t132 @t185 @t188) @t194 (@list @t186 @t138 @t141))) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p509 :rule trust :premises () :args ((=> @t97 @t187))) % 16.41/16.62 (step @p510 :rule implies_elim :premises (@p509)) % 16.41/16.62 (step @p511 :rule 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(step @p718 :rule cnf_equiv_neg1 :args (@t73)) % 16.41/16.62 (step @p719 :rule reordering :premises (@p718) :args ((or @t62 @t72 @t73))) % 16.41/16.62 (step @p720 :rule eq-symm :args (@t244 @t240)) % 16.41/16.62 (step @p721 :rule refl :args (@t213)) % 16.41/16.62 (step @p722 :rule eq-refl :args (@t238)) % 16.41/16.62 (step @p723 :rule skolem_intro :args (@t239)) % 16.41/16.62 (step @p724 :rule refl :args (@t238)) % 16.41/16.62 (step @p725 :rule cong :premises (@p724 @p723) :args ((= @t238 @t239))) % 16.41/16.62 (step @p726 :rule trans :premises (@p725 @p722)) % 16.41/16.62 (step @p727 :rule true_elim :premises (@p726)) % 16.41/16.62 (step @p728 :rule cong :premises (@p150 @p727) :args (@t245)) % 16.41/16.62 (step @p729 :rule nary_cong :premises (@p728 @p721) :args (@t246)) % 16.41/16.62 (step @p730 :rule refl :args (@t242)) % 16.41/16.62 (step @p731 :rule cong :premises (@p160 @p727) :args (@t247)) % 16.41/16.62 (step @p732 :rule nary_cong :premises (@p731 @p730) :args (@t248)) % 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16.41/16.62 (step @p762 :rule implies_elim :premises (@p761)) % 16.41/16.62 (step @p763 :rule cnf_equiv_pos1 :args (@t257)) % 16.41/16.62 (step @p764 :rule reordering :premises (@p763) :args ((or @t244 (not @t240) (not @t257)))) % 16.41/16.62 (step @p765 :rule refl :args (@t259)) % 16.41/16.62 (step @p766 :rule refl :args (@t261)) % 16.41/16.62 (step @p767 :rule bool-double-not-elim :args (@t59)) % 16.41/16.62 (step @p768 :rule nary_cong :premises (@p219 @p767 @p766 @p765) :args ((or @t132 (not @t168) @t261 @t259))) % 16.41/16.62 (assume-push @p1554 @t61) % 16.41/16.62 (assume-push @p1555 @t168) % 16.41/16.62 (assume-push @p1556 @t260) % 16.41/16.62 (assume-push @p1557 @t168) % 16.41/16.62 (assume-push @p1558 @t260) % 16.41/16.62 (assume-push @p1559 @t61) % 16.41/16.62 (step @p775 :rule false_intro :premises (@p1555)) % 16.41/16.62 (step @p776 :rule refl :args (@t57)) % 16.41/16.62 (step @p777 :rule symm :premises (@p1556)) % 16.41/16.62 (step @p778 :rule trans :premises (@p1554 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(@t273)) % 16.41/16.62 (step @p822 :rule cong :premises (@p821 @p819) :args (@t274)) % 16.41/16.62 (step @p823 :rule cong :premises (@p822) :args ((forall @t237 @t274))) % 16.41/16.62 (step @p824 :rule alpha_equiv :args (@t242 @t275 @t276)) % 16.41/16.62 (step @p825 :rule trans :premises (@p824 @p823)) % 16.41/16.62 (step @p826 :rule equiv_elim2 :premises (@p825)) % 16.41/16.62 (step @p827 :rule cnf_or_pos :args (@t244)) % 16.41/16.62 (step @p828 :rule reordering :premises (@p827) :args ((or @t242 @t243 @t277))) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p829 :rule trust :premises () :args ((=> @t282 @t279))) % 16.41/16.62 (step @p830 :rule implies_elim :premises (@p829)) % 16.41/16.62 (step @p831 :rule reordering :premises (@p830) :args ((or @t279 @t283))) % 16.41/16.62 (step @p832 :rule refl :args (@t285)) % 16.41/16.62 (step @p833 :rule bool-double-not-elim :args (@t282)) % 16.41/16.62 (step @p834 :rule refl :args (@t286)) % 16.41/16.62 (step @p835 :rule nary_cong :premises (@p834 @p833 @p832) :args ((or @t286 @t287 @t285))) % 16.41/16.62 (assume-push @p1568 @t243) % 16.41/16.62 (assume-push @p1569 @t283) % 16.41/16.62 (assume-push @p1570 @t243) % 16.41/16.62 (assume-push @p1571 @t283) % 16.41/16.62 (step @p840 :rule bool-eq-false :args (@t284)) % 16.41/16.62 (step @p841 :rule symm :premises (@p840)) % 16.41/16.62 (step @p842 :rule eq-symm :args (@t281 @t39)) % 16.41/16.62 (step @p843 :rule cong :premises (@p842) :args ((not @t288))) % 16.41/16.62 (step @p844 :rule bool-eq-false :args (@t288)) % 16.41/16.62 (step @p845 :rule trans :premises (@p844 @p843)) % 16.41/16.62 (step @p846 :rule trans :premises (@p845 @p841)) % 16.41/16.62 (step @p847 :rule false_intro :premises (@p1569)) % 16.41/16.62 (step @p848 :rule refl :args (@t281)) % 16.41/16.62 (step @p849 :rule cong :premises (@p848 @p1568) :args (@t288)) % 16.41/16.62 (step @p850 :rule trans :premises (@p849 @p847)) % 16.41/16.62 (step @p851 :rule eq_resolve :premises (@p850 @p846)) % 16.41/16.62 (step @p852 :rule false_elim :premises (@p851)) % 16.41/16.62 (step-pop @p1572 :rule scope :premises (@p852)) % 16.41/16.62 (step-pop @p1573 :rule scope :premises (@p1572)) % 16.41/16.62 (step @p853 :rule process_scope :premises (@p1573) :args (@t285)) % 16.41/16.62 (step @p856 :rule and_intro :premises (@p1568 @p1569)) % 16.41/16.62 (step @p857 :rule modus_ponens :premises (@p856 @p853)) % 16.41/16.62 (step-pop @p1574 :rule scope :premises (@p857)) % 16.41/16.62 (step-pop @p1575 :rule scope :premises (@p1574)) % 16.41/16.62 (step @p858 :rule process_scope :premises (@p1575) :args (@t285)) % 16.41/16.62 (step @p861 :rule implies_elim :premises (@p858)) % 16.41/16.62 (step @p862 :rule cnf_and_neg :args (@t289)) % 16.41/16.62 (step @p863 :rule resolution :premises (@p862 @p861) :args (true @t289)) % 16.41/16.62 (step @p864 :rule eq_resolve :premises (@p863 @p835)) % 16.41/16.62 (step @p865 :rule reordering :premises (@p864) :args ((or @t285 @t286 @t282))) % 16.41/16.62 (step @p866 :rule eq-refl :args (@t293)) % 16.41/16.62 (step @p867 :rule beta-reduce :args ((= @t294 @t293))) % 16.41/16.62 (step @p868 :rule refl :args (@t293)) % 16.41/16.62 (step @p869 :rule cong :premises (@p868 @p867) :args ((= @t293 @t294))) % 16.41/16.62 (step @p870 :rule trans :premises (@p869 @p866)) % 16.41/16.62 (step @p871 :rule eq-symm :args (@t294 @t293)) % 16.41/16.62 (step @p872 :rule trans :premises (@p871 @p870)) % 16.41/16.62 (step @p873 :rule refl :args (@t290)) % 16.41/16.62 (step @p874 :rule skolem_intro :args (@t281)) % 16.41/16.62 (step @p875 :rule ho_cong :premises (@p874 @p873)) % 16.41/16.62 (step @p876 :rule cong :premises (@p875 @p868) :args ((= @t295 @t293))) % 16.41/16.62 (step @p877 :rule trans :premises (@p876 @p872)) % 16.41/16.62 (step @p878 :rule true_elim :premises (@p877)) % 16.41/16.62 (step @p879 :rule eq-refl :args (@t292)) % 16.41/16.62 (step @p880 :rule eq-symm :args (@t290 @t36)) % 16.41/16.62 (step @p881 :rule beta-reduce :args ((= @t296 (= @t290 @t36)))) % 16.41/16.62 (step @p882 :rule trans :premises (@p881 @p880)) % 16.41/16.62 (step @p883 :rule refl :args (@t292)) % 16.41/16.62 (step @p884 :rule cong :premises (@p883 @p882) :args ((= @t292 @t296))) % 16.41/16.62 (step @p885 :rule trans :premises (@p884 @p879)) % 16.41/16.62 (step @p886 :rule eq-symm :args (@t296 @t292)) % 16.41/16.62 (step @p887 :rule trans :premises (@p886 @p885)) % 16.41/16.62 (step @p888 :rule ho_cong :premises (@p43 @p873)) % 16.41/16.62 (step @p889 :rule cong :premises (@p888 @p883) :args ((= @t297 @t292))) % 16.41/16.62 (step @p890 :rule trans :premises (@p889 @p887)) % 16.41/16.62 (step @p891 :rule true_elim :premises (@p890)) % 16.41/16.62 (step @p892 :rule cong :premises (@p891 @p878) :args (@t298)) % 16.41/16.62 (step @p893 :rule cong :premises (@p892) :args (@t299)) % 16.41/16.62 (step @p894 :rule refl :args (@t284)) % 16.41/16.62 (step @p895 :rule nary_cong :premises (@p894 @p893) :args (@t300)) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p896 :rule trust :premises () :args (@t300)) % 16.41/16.62 (step @p897 :rule eq_resolve :premises (@p896 @p895)) % 16.41/16.62 (step @p898 :rule cnf_or_neg :args (@t293 0)) % 16.41/16.62 (step @p899 :rule cnf_equiv_neg2 :args (@t301)) % 16.41/16.62 (step @p900 :rule chain_m_resolution :premises (@p899 @p898) :args ((or @t301 @t302) @t303 (@list @t293))) % 16.41/16.62 (step @p901 :rule cnf_equiv_neg1 :args (@t301)) % 16.41/16.62 (step @p902 :rule reordering :premises (@p901) :args ((or @t292 @t293 @t301))) % 16.41/16.62 (step @p903 :rule cnf_or_pos :args (@t293)) % 16.41/16.62 (step @p904 :rule reordering :premises (@p903) :args ((or @t292 @t291 (not @t293)))) % 16.41/16.62 (step @p905 :rule refl :args (@t304)) % 16.41/16.62 (step @p906 :rule bool-double-not-elim :args (@t292)) % 16.41/16.62 (step @p907 :rule nary_cong :premises (@p219 @p766 @p906 @p905) :args ((or @t132 @t261 (not @t302) @t304))) % 16.41/16.62 (assume-push @p1576 @t61) % 16.41/16.62 (assume-push @p1577 @t260) % 16.41/16.62 (assume-push @p1578 @t302) % 16.41/16.62 (assume-push @p1579 @t302) % 16.41/16.62 (assume-push @p1580 @t61) % 16.41/16.62 (assume-push @p1581 @t260) % 16.41/16.62 (step @p914 :rule false_intro :premises (@p1578)) % 16.41/16.62 (step @p915 :rule symm :premises (@p1576)) % 16.41/16.62 (step @p916 :rule trans :premises (@p1577 @p915)) % 16.41/16.62 (step @p917 :rule cong :premises (@p916 @p873) :args (@t291)) % 16.41/16.62 (step @p918 :rule trans :premises (@p917 @p914)) % 16.41/16.62 (step @p919 :rule false_elim :premises (@p918)) % 16.41/16.62 (step-pop @p1582 :rule scope :premises (@p919)) % 16.41/16.62 (step-pop @p1583 :rule scope :premises (@p1582)) % 16.41/16.62 (step-pop @p1584 :rule scope :premises (@p1583)) % 16.41/16.62 (step @p920 :rule process_scope :premises (@p1584) :args (@t304)) % 16.41/16.62 (step @p924 :rule and_intro :premises (@p1578 @p1576 @p1577)) % 16.41/16.62 (step @p925 :rule modus_ponens :premises (@p924 @p920)) % 16.41/16.62 (step-pop @p1585 :rule scope :premises (@p925)) % 16.41/16.62 (step-pop @p1586 :rule scope :premises (@p1585)) % 16.41/16.62 (step-pop @p1587 :rule scope :premises (@p1586)) % 16.41/16.62 (step @p926 :rule process_scope :premises (@p1587) :args (@t304)) % 16.41/16.62 (step @p930 :rule implies_elim :premises (@p926)) % 16.41/16.62 (step @p931 :rule cnf_and_neg :args (@t305)) % 16.41/16.62 (step @p932 :rule resolution :premises (@p931 @p930) :args (true @t305)) % 16.41/16.62 (step @p933 :rule eq_resolve :premises (@p932 @p907)) % 16.41/16.62 (step @p934 :rule chain_m_resolution :premises (@p933 @p904 @p902 @p900 @p897 @p865 @p831 @p828 @p826 @p816 @p798 @p796 @p764 @p762 @p719 @p135 @p96 @p717 @p640 @p715 @p714 @p695) :args ((or @t132 @t261) (@list false false true true true true false true true true true false false false true true true true false false false) (@list @t291 @t293 @t292 @t301 @t284 @t282 @t243 @t279 @t242 @t263 @t258 @t244 @t257 @t72 @t73 @t35 @t62 @t59 @t240 @t213 @t220))) % 16.41/16.62 (step @p935 :rule cnf_or_pos :args (@t306)) % 16.41/16.62 (step @p936 :rule reordering :premises (@p935) :args ((or @t59 @t260 (not @t306)))) % 16.41/16.62 (step @p937 :rule refl :args (@t307)) % 16.41/16.62 (step @p938 :rule eq-refl :args (@t280)) % 16.41/16.62 (step @p939 :rule refl :args (@t280)) % 16.41/16.62 (step @p940 :rule cong :premises (@p939 @p874) :args ((= @t280 @t281))) % 16.41/16.62 (step @p941 :rule trans :premises (@p940 @p938)) % 16.41/16.62 (step @p942 :rule true_elim :premises (@p941)) % 16.41/16.62 (step @p943 :rule cong :premises (@p150 @p942) :args (@t308)) % 16.41/16.62 (step @p944 :rule nary_cong :premises (@p943 @p937) :args (@t309)) % 16.41/16.62 (step @p945 :rule cong :premises (@p735 @p944) :args ((=> @t72 @t309))) % 16.41/16.62 (step @p946 :rule bool-eq-true :args (@t309)) % 16.41/16.62 (step @p947 :rule eq-symm :args (true @t309)) % 16.41/16.62 (step @p948 :rule trans :premises (@p947 @p946)) % 16.41/16.62 (step @p949 :rule eq-symm :args (@t67 @t71)) % 16.41/16.62 (step @p950 :rule beta-reduce :args ((= @t310 @t85))) % 16.41/16.62 (step @p951 :rule trans :premises (@p950 @p113)) % 16.41/16.62 (step @p952 :rule cong :premises (@p740 @p951) :args ((= @t67 @t310))) % 16.41/16.62 (step @p953 :rule trans :premises (@p952 @p949)) % 16.41/16.62 (step @p954 :rule eq-symm :args (@t310 @t67)) % 16.41/16.62 (step @p955 :rule trans :premises (@p954 @p953)) % 16.41/16.62 (step @p956 :rule cong :premises (@p955) :args (@t311)) % 16.41/16.62 (step @p957 :rule eq-symm :args (@t280 @t69)) % 16.41/16.62 (step @p958 :rule nary_cong :premises (@p957 @p956) :args (@t312)) % 16.41/16.62 (step @p959 :rule absorb :args ((= (or (= @t38 @t280) true) true))) % 16.41/16.62 (step @p960 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 16.41/16.62 (step @p961 :rule eq-refl :args (@t71)) % 16.41/16.62 (step @p962 :rule cong :premises (@p747 @p951) :args ((= @t71 @t310))) % 16.41/16.62 (step @p963 :rule trans :premises (@p962 @p961)) % 16.41/16.62 (step @p964 :rule eq-symm :args (@t310 @t71)) % 16.41/16.62 (step @p965 :rule trans :premises (@p964 @p963)) % 16.41/16.62 (step @p966 :rule cong :premises (@p965) :args (@t313)) % 16.41/16.62 (step @p967 :rule trans :premises (@p966 @p960)) % 16.41/16.62 (step @p968 :rule eq-symm :args (@t280 @t38)) % 16.41/16.62 (step @p969 :rule nary_cong :premises (@p968 @p967) :args (@t314)) % 16.41/16.62 (step @p970 :rule trans :premises (@p969 @p959)) % 16.41/16.62 (step @p971 :rule cong :premises (@p970 @p958) :args (@t315)) % 16.41/16.62 (step @p972 :rule trans :premises (@p971 @p948)) % 16.41/16.62 (step @p973 :rule cong :premises (@p735 @p972) :args ((=> @t72 @t315))) % 16.41/16.62 (assume-push @p1588 @t72) % 16.41/16.62 (step @p975 :rule instantiate :premises (@p1588) :args ((@list @t280))) % 16.41/16.62 (step-pop @p1589 :rule scope :premises (@p975)) % 16.41/16.62 (step @p976 :rule process_scope :premises (@p1589) :args (@t315)) % 16.41/16.62 (step @p978 :rule eq_resolve :premises (@p976 @p973)) % 16.41/16.62 (step @p979 :rule eq_resolve :premises (@p978 @p945)) % 16.41/16.62 (step @p980 :rule implies_elim :premises (@p979)) % 16.41/16.62 (step @p981 :rule bool-eq-true :args (@t306)) % 16.41/16.62 (step @p982 :rule eq-symm :args (true @t306)) % 16.41/16.62 (step @p983 :rule trans :premises (@p982 @p981)) % 16.41/16.62 (step @p984 :rule refl :args (@t306)) % 16.41/16.62 (step @p985 :rule absorb :args ((= (or @t316 true) true))) % 16.41/16.62 (step @p986 :rule eq-refl :args (@t58)) % 16.41/16.62 (step @p987 :rule eq-symm :args (@t58 @t36)) % 16.41/16.62 (step @p988 :rule nary_cong :premises (@p987 @p986) :args (@t318)) % 16.41/16.62 (step @p989 :rule trans :premises (@p988 @p985)) % 16.41/16.62 (step @p990 :rule cong :premises (@p989 @p984) :args (@t319)) % 16.41/16.62 (step @p991 :rule trans :premises (@p990 @p983)) % 16.41/16.62 (step @p992 :rule cong :premises (@p937 @p991) :args ((=> @t307 @t319))) % 16.41/16.62 (assume-push @p1590 @t307) % 16.41/16.62 (step @p994 :rule instantiate :premises (@p1590) :args (@t320)) % 16.41/16.62 (step-pop @p1591 :rule scope :premises (@p994)) % 16.41/16.62 (step @p995 :rule process_scope :premises (@p1591) :args (@t319)) % 16.41/16.62 (step @p997 :rule eq_resolve :premises (@p995 @p992)) % 16.41/16.62 (step @p998 :rule implies_elim :premises (@p997)) % 16.41/16.62 (step @p999 :rule cnf_or_pos :args (@t322)) % 16.41/16.62 (step @p1000 :rule reordering :premises (@p999) :args ((or @t307 @t321 (not @t322)))) % 16.41/16.62 (step @p1001 :rule cnf_equiv_neg2 :args (@t326)) % 16.41/16.62 (assume-push @p1592 @t61) % 16.41/16.62 (assume-push @p1593 @t325) % 16.41/16.62 (assume-push @p1594 @t325) % 16.41/16.62 (assume-push @p1595 @t61) % 16.41/16.62 (step @p1006 :rule symm :premises (@p1592)) % 16.41/16.62 (step @p1007 :rule trans :premises (@p1006 @p1593)) % 16.41/16.62 (step-pop @p1596 :rule scope :premises (@p1007)) % 16.41/16.62 (step-pop @p1597 :rule scope :premises (@p1596)) % 16.41/16.62 (step @p1008 :rule process_scope :premises (@p1597) :args (@t324)) % 16.41/16.62 (step @p1011 :rule and_intro :premises (@p1593 @p1592)) % 16.41/16.62 (step @p1012 :rule modus_ponens :premises (@p1011 @p1008)) % 16.41/16.62 (step-pop @p1598 :rule scope :premises (@p1012)) % 16.41/16.62 (step-pop @p1599 :rule scope :premises (@p1598)) % 16.41/16.62 (step @p1013 :rule process_scope :premises (@p1599) :args (@t324)) % 16.41/16.62 (step @p1016 :rule implies_elim :premises (@p1013)) % 16.41/16.62 (step @p1017 :rule cnf_and_neg :args (@t327)) % 16.41/16.62 (step @p1018 :rule resolution :premises (@p1017 @p1016) :args (true @t327)) % 16.41/16.62 (step @p1019 :rule reordering :premises (@p1018) :args ((or @t132 @t324 @t328))) % 16.41/16.62 (step @p1020 :rule chain_m_resolution :premises (@p1019 @p1001) :args ((or @t132 @t326 @t328) @t56 (@list @t324))) % 16.41/16.62 (step @p1021 :rule cnf_equiv_neg1 :args (@t326)) % 16.41/16.62 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t325 @t324 @t326))) % 16.41/16.62 (step @p1023 :rule refl :args (@t329)) % 16.41/16.62 (step @p1024 :rule bool-double-not-elim :args (@t325)) % 16.41/16.62 (step @p1025 :rule nary_cong :premises (@p219 @p1024 @p1023) :args ((or @t132 (not @t328) @t329))) % 16.41/16.62 (assume-push @p1600 @t61) % 16.41/16.62 (assume-push @p1601 @t328) % 16.41/16.62 (assume-push @p1602 @t328) % 16.41/16.62 (assume-push @p1603 @t61) % 16.41/16.62 (step @p1030 :rule false_intro :premises (@p1601)) % 16.41/16.62 (step @p1031 :rule refl :args (@t323)) % 16.41/16.62 (step @p1032 :rule symm :premises (@p1600)) % 16.41/16.62 (step @p1033 :rule cong :premises (@p1032 @p1031) :args (@t324)) % 16.41/16.62 (step @p1034 :rule trans :premises (@p1033 @p1030)) % 16.41/16.62 (step @p1035 :rule false_elim :premises (@p1034)) % 16.41/16.62 (step-pop @p1604 :rule scope :premises (@p1035)) % 16.41/16.62 (step-pop @p1605 :rule scope :premises (@p1604)) % 16.41/16.62 (step @p1036 :rule process_scope :premises (@p1605) :args (@t329)) % 16.41/16.62 (step @p1039 :rule and_intro :premises (@p1601 @p1600)) % 16.41/16.62 (step @p1040 :rule modus_ponens :premises (@p1039 @p1036)) % 16.41/16.62 (step-pop @p1606 :rule scope :premises (@p1040)) % 16.41/16.62 (step-pop @p1607 :rule scope :premises (@p1606)) % 16.41/16.62 (step @p1041 :rule process_scope :premises (@p1607) :args (@t329)) % 16.41/16.62 (step @p1044 :rule implies_elim :premises (@p1041)) % 16.41/16.62 (step @p1045 :rule cnf_and_neg :args (@t330)) % 16.41/16.62 (step @p1046 :rule resolution :premises (@p1045 @p1044) :args (true @t330)) % 16.41/16.62 (step @p1047 :rule eq_resolve :premises (@p1046 @p1025)) % 16.41/16.62 (step @p1048 :rule chain_m_resolution :premises (@p1047 @p1022 @p1020) :args ((or @t132 @t326) @t135 (@list @t324 @t325))) % 16.41/16.62 (step @p1049 :rule eq-symm :args (@t324 @t325)) % 16.41/16.62 (step @p1050 :rule eq-refl :args (@t325)) % 16.41/16.62 (step @p1051 :rule eq-symm :args (@t323 @t36)) % 16.41/16.62 (step @p1052 :rule beta-reduce :args ((= @t331 (= @t323 @t36)))) % 16.41/16.62 (step @p1053 :rule trans :premises (@p1052 @p1051)) % 16.41/16.62 (step @p1054 :rule refl :args (@t325)) % 16.41/16.62 (step @p1055 :rule cong :premises (@p1054 @p1053) :args ((= @t325 @t331))) % 16.41/16.62 (step @p1056 :rule trans :premises (@p1055 @p1050)) % 16.41/16.62 (step @p1057 :rule eq-symm :args (@t331 @t325)) % 16.41/16.62 (step @p1058 :rule trans :premises (@p1057 @p1056)) % 16.41/16.62 (step @p1031 :rule refl :args (@t323)) % 16.41/16.62 (step @p1059 :rule ho_cong :premises (@p43 @p1031)) % 16.41/16.62 (step @p1060 :rule cong :premises (@p1059 @p1054) :args ((= @t332 @t325))) % 16.41/16.62 (step @p1061 :rule trans :premises (@p1060 @p1058)) % 16.41/16.62 (step @p1062 :rule true_elim :premises (@p1061)) % 16.41/16.62 (step @p1063 :rule eq-refl :args (@t324)) % 16.41/16.62 (step @p1064 :rule eq-symm :args (@t323 @t60)) % 16.41/16.62 (step @p1065 :rule beta-reduce :args ((= @t333 (= @t323 @t60)))) % 16.41/16.62 (step @p1066 :rule trans :premises (@p1065 @p1064)) % 16.41/16.62 (step @p1067 :rule refl :args (@t324)) % 16.41/16.62 (step @p1068 :rule cong :premises (@p1067 @p1066) :args ((= @t324 @t333))) % 16.41/16.62 (step @p1069 :rule trans :premises (@p1068 @p1063)) % 16.41/16.62 (step @p1070 :rule eq-symm :args (@t333 @t324)) % 16.41/16.62 (step @p1071 :rule trans :premises (@p1070 @p1069)) % 16.41/16.62 (step @p1072 :rule ho_cong :premises (@p146 @p1031)) % 16.41/16.62 (step @p1073 :rule cong :premises (@p1072 @p1067) :args ((= @t334 @t324))) % 16.41/16.62 (step @p1074 :rule trans :premises (@p1073 @p1071)) % 16.41/16.62 (step @p1075 :rule true_elim :premises (@p1074)) % 16.41/16.62 (step @p1076 :rule cong :premises (@p1075 @p1062) :args (@t335)) % 16.41/16.62 (step @p1077 :rule trans :premises (@p1076 @p1049)) % 16.41/16.62 (step @p1078 :rule cong :premises (@p1077) :args (@t336)) % 16.41/16.62 (step @p1079 :rule refl :args (@t337)) % 16.41/16.62 (step @p1080 :rule nary_cong :premises (@p1079 @p1078) :args (@t338)) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p1081 :rule trust :premises () :args (@t338)) % 16.41/16.62 (step @p1082 :rule eq_resolve :premises (@p1081 @p1080)) % 16.41/16.62 (step @p1083 :rule refl :args (@t339)) % 16.41/16.62 (step @p1084 :rule refl :args (@t340)) % 16.41/16.62 (step @p1085 :rule nary_cong :premises (@p1084 @p834 @p833 @p1083) :args ((or @t340 @t286 @t287 @t339))) % 16.41/16.62 (assume-push @p1608 @t321) % 16.41/16.62 (assume-push @p1609 @t243) % 16.41/16.62 (assume-push @p1610 @t283) % 16.41/16.62 (assume-push @p1611 @t283) % 16.41/16.62 (assume-push @p1612 @t321) % 16.41/16.62 (assume-push @p1613 @t243) % 16.41/16.62 (step @p1092 :rule false_intro :premises (@p1610)) % 16.41/16.62 (step @p1093 :rule cong :premises (@p1608 @p1609) :args (@t337)) % 16.41/16.62 (step @p1094 :rule trans :premises (@p1093 @p1092)) % 16.41/16.62 (step @p1095 :rule false_elim :premises (@p1094)) % 16.41/16.62 (step-pop @p1614 :rule scope :premises (@p1095)) % 16.41/16.62 (step-pop @p1615 :rule scope :premises (@p1614)) % 16.41/16.62 (step-pop @p1616 :rule scope :premises (@p1615)) % 16.41/16.62 (step @p1096 :rule process_scope :premises (@p1616) :args (@t339)) % 16.41/16.62 (step @p1100 :rule and_intro :premises (@p1610 @p1608 @p1609)) % 16.41/16.62 (step @p1101 :rule modus_ponens :premises (@p1100 @p1096)) % 16.41/16.62 (step-pop @p1617 :rule scope :premises (@p1101)) % 16.41/16.62 (step-pop @p1618 :rule scope :premises (@p1617)) % 16.41/16.62 (step-pop @p1619 :rule scope :premises (@p1618)) % 16.41/16.62 (step @p1102 :rule process_scope :premises (@p1619) :args (@t339)) % 16.41/16.62 (step @p1106 :rule implies_elim :premises (@p1102)) % 16.41/16.62 (step @p1107 :rule cnf_and_neg :args (@t341)) % 16.41/16.62 (step @p1108 :rule resolution :premises (@p1107 @p1106) :args (true @t341)) % 16.41/16.62 (step @p1109 :rule eq_resolve :premises (@p1108 @p1085)) % 16.41/16.62 (step @p1110 :rule reordering :premises (@p1109) :args ((or @t339 @t340 @t286 @t282))) % 16.41/16.62 (step @p1111 :rule chain_m_resolution :premises (@p1110 @p831 @p828 @p826) :args ((or @t339 @t340 @t242 @t277) @t194 (@list @t282 @t243 @t279))) % 16.41/16.62 (step @p1112 :rule bool-eq-true :args (@t342)) % 16.41/16.62 (step @p1113 :rule eq-symm :args (true @t342)) % 16.41/16.62 (step @p1114 :rule trans :premises (@p1113 @p1112)) % 16.41/16.62 (step @p1115 :rule refl :args (@t59)) % 16.41/16.62 (step @p1116 :rule nary_cong :premises (@p987 @p1115) :args (@t343)) % 16.41/16.62 (step @p1117 :rule cong :premises (@p989 @p1116) :args (@t344)) % 16.41/16.62 (step @p1118 :rule trans :premises (@p1117 @p1114)) % 16.41/16.62 (step @p1119 :rule cong :premises (@p730 @p1118) :args ((=> @t242 @t344))) % 16.41/16.62 (assume-push @p1620 @t242) % 16.41/16.62 (step @p1121 :rule instantiate :premises (@p1620) :args (@t320)) % 16.41/16.62 (step-pop @p1621 :rule scope :premises (@p1121)) % 16.41/16.62 (step @p1122 :rule process_scope :premises (@p1621) :args (@t344)) % 16.41/16.62 (step @p1124 :rule eq_resolve :premises (@p1122 @p1119)) % 16.41/16.62 (step @p1125 :rule implies_elim :premises (@p1124)) % 16.41/16.62 (step @p1126 :rule cnf_or_pos :args (@t342)) % 16.41/16.62 (step @p1127 :rule reordering :premises (@p1126) :args ((or @t59 @t316 (not @t342)))) % 16.41/16.62 (step @p1128 :rule refl :args (@t345)) % 16.41/16.62 (step @p1129 :rule bool-double-not-elim :args (@t260)) % 16.41/16.62 (step @p1130 :rule refl :args (@t346)) % 16.41/16.62 (step @p1131 :rule nary_cong :premises (@p219 @p1130 @p1129 @p1128) :args ((or @t132 @t346 (not @t261) @t345))) % 16.41/16.62 (assume-push @p1622 @t48) % 16.41/16.62 (assume-push @p1623 @t316) % 16.41/16.62 (assume-push @p1624 @t61) % 16.41/16.62 (assume-push @p1625 @t261) % 16.41/16.62 (step @p1136 :rule evaluate :args (@t347)) % 16.41/16.62 (step @p1137 :rule symm :premises (@p1624)) % 16.41/16.62 (step @p1138 :rule trans :premises (@p1137 @p55)) % 16.41/16.62 (step @p1139 :rule symm :premises (@p1138)) % 16.41/16.62 (step @p1140 :rule symm :premises (@p1623)) % 16.41/16.62 (step @p1141 :rule trans :premises (@p1140 @p55 @p1139)) % 16.41/16.62 (step @p1142 :rule true_intro :premises (@p1141)) % 16.41/16.62 (step @p1143 :rule false_intro :premises (@p1625)) % 16.41/16.62 (step @p1144 :rule symm :premises (@p1143)) % 16.41/16.62 (step @p1145 :rule trans :premises (@p1144 @p1142)) % 16.41/16.62 (step @p1146 false :rule eq_resolve :premises (@p1145 @p1136)) % 16.41/16.62 (step-pop @p1626 :rule scope :premises (@p1146)) % 16.41/16.62 (step-pop @p1627 :rule scope :premises (@p1626)) % 16.41/16.62 (step-pop @p1628 :rule scope :premises (@p1627)) % 16.41/16.62 (step-pop @p1629 :rule scope :premises (@p1628)) % 16.41/16.62 (step @p1147 :rule process_scope :premises (@p1629) :args (false)) % 16.41/16.62 (assume-push @p1630 @t61) % 16.41/16.62 (assume-push @p1631 @t316) % 16.41/16.62 (assume-push @p1632 @t261) % 16.41/16.62 (assume-push @p1633 @t48) % 16.41/16.62 (step @p1156 :rule and_intro :premises (@p55 @p1631 @p1630 @p1632)) % 16.41/16.62 (step-pop @p1634 :rule scope :premises (@p1156)) % 16.41/16.62 (step-pop @p1635 :rule scope :premises (@p1634)) % 16.41/16.62 (step-pop @p1636 :rule scope :premises (@p1635)) % 16.41/16.62 (step-pop @p1637 :rule scope :premises (@p1636)) % 16.41/16.62 (step @p1157 :rule process_scope :premises (@p1637) :args (@t348)) % 16.41/16.62 (step @p1162 :rule implies_elim :premises (@p1157)) % 16.41/16.62 (step @p1163 :rule resolution :premises (@p1162 @p1147) :args (true @t348)) % 16.41/16.62 (step @p1164 :rule not_and :premises (@p1163)) % 16.41/16.62 (step @p1165 :rule eq_resolve :premises (@p1164 @p1131)) % 16.41/16.62 (step @p1166 :rule reordering :premises (@p1165) :args ((or @t132 @t260 @t345 @t346))) % 16.41/16.62 (step @p1167 :rule chain_m_resolution :premises (@p1166 @p55 @p1127 @p1125 @p1111 @p1082 @p1048 @p1000 @p998 @p764 @p762 @p980 @p715 @p719 @p136 @p936 @p714 @p717 @p934 @p695 @p640) :args (@t132 (@list false false false false false false false true false false false false false true true false true true false true) (@list @t48 @t316 @t342 @t242 @t337 @t326 @t321 @t307 @t244 @t257 @t322 @t240 @t72 @t73 @t306 @t213 @t62 @t260 @t220 @t59))) % 16.41/16.62 (step @p1168 :rule cnf_and_pos :args (@t62 0)) % 16.41/16.62 (step @p1169 :rule reordering :premises (@p1168) :args ((or @t61 @t241))) % 16.41/16.62 (step @p1170 :rule chain_m_resolution :premises (@p1169 @p1167) :args (@t241 @t56 @t349)) % 16.41/16.62 (step @p1171 :rule chain_m_resolution :premises (@p719 @p1170 @p136) :args (@t72 (@list true true) (@list @t62 @t73))) % 16.41/16.62 (step @p1172 :rule chain_m_resolution :premises (@p980 @p1171) :args (@t322 @t303 @t350)) % 16.41/16.62 (step @p1173 :rule bool-eq-true :args (@t61)) % 16.41/16.62 (step @p1174 :rule absorb :args ((= (or true @t316) true))) % 16.41/16.62 (step @p1175 :rule refl :args (@t316)) % 16.41/16.62 (step @p1176 :rule nary_cong :premises (@p5 @p1175) :args (@t351)) % 16.41/16.62 (step @p1177 :rule trans :premises (@p1176 @p1174)) % 16.41/16.62 (step @p1178 :rule refl :args (@t61)) % 16.41/16.62 (step @p1179 :rule cong :premises (@p1178 @p1177) :args ((= @t61 @t351))) % 16.41/16.62 (step @p1180 :rule trans :premises (@p1179 @p1173)) % 16.41/16.62 (step @p1181 :rule eq-symm :args (@t351 @t61)) % 16.41/16.62 (step @p1182 :rule trans :premises (@p1181 @p1180)) % 16.41/16.62 (step @p1183 :rule refl :args (@t352)) % 16.41/16.62 (step @p1184 :rule cong :premises (@p1183 @p1182) :args ((=> @t352 @t353))) % 16.41/16.62 (assume-push @p1638 @t352) % 16.41/16.62 (step @p1186 :rule instantiate :premises (@p1638) :args (@t354)) % 16.41/16.62 (step-pop @p1639 :rule scope :premises (@p1186)) % 16.41/16.62 (step @p1187 :rule process_scope :premises (@p1639) :args (@t353)) % 16.41/16.62 (step @p1189 :rule eq_resolve :premises (@p1187 @p1184)) % 16.41/16.62 (step @p1190 :rule implies_elim :premises (@p1189)) % 16.41/16.62 (step @p1191 :rule reordering :premises (@p1190) :args ((or @t61 @t355))) % 16.41/16.62 (step @p1192 :rule chain_m_resolution :premises (@p1191 @p1167) :args (@t355 @t56 @t349)) % 16.41/16.62 (step @p1193 :rule eq-symm :args (@t356 @t68)) % 16.41/16.62 (step @p1194 :rule cong :premises (@p1193) :args ((forall @t14 (= @t356 @t68)))) % 16.41/16.62 (step @p1195 :rule alpha_equiv :args (@t352 @t275 @t357)) % 16.41/16.62 (step @p1196 :rule trans :premises (@p1195 @p1194)) % 16.41/16.62 (step @p1197 :rule equiv_elim2 :premises (@p1196)) % 16.41/16.62 (step @p1198 :rule chain_m_resolution :premises (@p1197 @p1192) :args ((not @t358) @t56 (@list @t352))) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p1199 :rule trust :premises () :args ((=> @t321 @t358))) % 16.41/16.62 (step @p1200 :rule implies_elim :premises (@p1199)) % 16.41/16.62 (step @p1201 :rule chain_m_resolution :premises (@p1200 @p1198) :args (@t340 @t56 (@list @t358))) % 16.41/16.62 (step @p1202 :rule chain_m_resolution :premises (@p1000 @p1201 @p1172) :args (@t307 @t359 (@list @t321 @t322))) % 16.41/16.62 (step @p1203 :rule bool-eq-true :args (@t360)) % 16.41/16.62 (step @p1204 :rule eq-symm :args (true @t360)) % 16.41/16.62 (step @p1205 :rule trans :premises (@p1204 @p1203)) % 16.41/16.62 (step @p1206 :rule refl :args (@t360)) % 16.41/16.62 (step @p1207 :rule cong :premises (@p1177 @p1206) :args (@t361)) % 16.41/16.62 (step @p1208 :rule trans :premises (@p1207 @p1205)) % 16.41/16.62 (step @p1209 :rule cong :premises (@p937 @p1208) :args ((=> @t307 @t361))) % 16.41/16.62 (assume-push @p1640 @t307) % 16.41/16.62 (step @p1211 :rule instantiate :premises (@p1640) :args (@t354)) % 16.41/16.62 (step-pop @p1641 :rule scope :premises (@p1211)) % 16.41/16.62 (step @p1212 :rule process_scope :premises (@p1641) :args (@t361)) % 16.41/16.62 (step @p1214 :rule eq_resolve :premises (@p1212 @p1209)) % 16.41/16.62 (step @p1215 :rule implies_elim :premises (@p1214)) % 16.41/16.62 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1202) :args (@t360 @t303 (@list @t307))) % 16.41/16.62 (step @p1217 :rule cnf_or_pos :args (@t360)) % 16.41/16.62 (step @p1218 :rule reordering :premises (@p1217) :args ((or @t61 @t258 (not @t360)))) % 16.41/16.62 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1167 @p1216) :args (@t258 @t359 (@list @t61 @t360))) % 16.41/16.62 (step @p1220 :rule bool-eq-true :args (@t362)) % 16.41/16.62 (step @p1221 :rule absorb :args ((= (or true @t362) true))) % 16.41/16.62 (step @p1222 :rule refl :args (@t362)) % 16.41/16.62 (step @p1223 :rule eq-refl :args (@t60)) % 16.41/16.62 (step @p1224 :rule nary_cong :premises (@p1223 @p1222) :args (@t363)) % 16.41/16.62 (step @p1225 :rule trans :premises (@p1224 @p1221)) % 16.41/16.62 (step @p1226 :rule cong :premises (@p1222 @p1225) :args (@t364)) % 16.41/16.62 (step @p1227 :rule trans :premises (@p1226 @p1220)) % 16.41/16.62 (step @p1228 :rule refl :args (@t365)) % 16.41/16.62 (step @p1229 :rule cong :premises (@p1228 @p1227) :args ((=> @t365 @t364))) % 16.41/16.62 (assume-push @p1642 @t365) % 16.41/16.62 (step @p1231 :rule instantiate :premises (@p1642) :args ((@list @t60))) % 16.41/16.62 (step-pop @p1643 :rule scope :premises (@p1231)) % 16.41/16.62 (step @p1232 :rule process_scope :premises (@p1643) :args (@t364)) % 16.41/16.62 (step @p1234 :rule eq_resolve :premises (@p1232 @p1229)) % 16.41/16.62 (step @p1235 :rule implies_elim :premises (@p1234)) % 16.41/16.62 (step @p1236 :rule reordering :premises (@p1235) :args ((or @t362 (not @t365)))) % 16.41/16.62 (step @p1237 :rule cong :premises (@p1222 @p801) :args (@t366)) % 16.41/16.62 (step @p1238 :rule trans :premises (@p1237 @p1220)) % 16.41/16.62 (step @p1239 :rule refl :args (@t367)) % 16.41/16.62 (step @p1240 :rule cong :premises (@p1239 @p1238) :args ((=> @t367 @t366))) % 16.41/16.62 (assume-push @p1644 @t367) % 16.41/16.62 (step @p1242 :rule instantiate :premises (@p1644) :args (@t269)) % 16.41/16.62 (step-pop @p1645 :rule scope :premises (@p1242)) % 16.41/16.62 (step @p1243 :rule process_scope :premises (@p1645) :args (@t366)) % 16.41/16.62 (step @p1245 :rule eq_resolve :premises (@p1243 @p1240)) % 16.41/16.62 (step @p1246 :rule implies_elim :premises (@p1245)) % 16.41/16.62 (step @p1247 :rule reordering :premises (@p1246) :args ((or @t362 (not @t367)))) % 16.41/16.62 (step @p1248 :rule eq-symm :args (@t372 @t374)) % 16.41/16.62 (step @p1249 :rule eq-refl :args (@t369)) % 16.41/16.62 (step @p1250 :rule skolem_intro :args (@t370)) % 16.41/16.62 (step @p1251 :rule refl :args (@t369)) % 16.41/16.62 (step @p1252 :rule cong :premises (@p1251 @p1250) :args ((= @t369 @t370))) % 16.41/16.62 (step @p1253 :rule trans :premises (@p1252 @p1249)) % 16.41/16.62 (step @p1254 :rule true_elim :premises (@p1253)) % 16.41/16.62 (step @p1255 :rule cong :premises (@p150 @p1254) :args (@t375)) % 16.41/16.62 (step @p1256 :rule nary_cong :premises (@p1255 @p1228) :args (@t376)) % 16.41/16.62 (step @p1257 :rule refl :args (@t368)) % 16.41/16.62 (step @p1258 :rule cong :premises (@p160 @p1254) :args (@t377)) % 16.41/16.62 (step @p1259 :rule nary_cong :premises (@p1258 @p1257) :args (@t378)) % 16.41/16.62 (step @p1260 :rule cong :premises (@p1259 @p1256) :args (@t379)) % 16.41/16.62 (step @p1261 :rule trans :premises (@p1260 @p1248)) % 16.41/16.62 (step @p1262 :rule cong :premises (@p735 @p1261) :args ((=> @t72 @t379))) % 16.41/16.62 (step @p1263 :rule eq-symm :args (@t67 @t65)) % 16.41/16.62 (step @p1264 :rule beta-reduce :args ((= @t381 @t65))) % 16.41/16.62 (step @p1265 :rule cong :premises (@p740 @p1264) :args ((= @t67 @t381))) % 16.41/16.62 (step @p1266 :rule trans :premises (@p1265 @p1263)) % 16.41/16.62 (step @p1267 :rule eq-symm :args (@t381 @t67)) % 16.41/16.62 (step @p1268 :rule trans :premises (@p1267 @p1266)) % 16.41/16.62 (step @p1269 :rule cong :premises (@p1268) :args (@t382)) % 16.41/16.62 (step @p1270 :rule eq-symm :args (@t369 @t69)) % 16.41/16.62 (step @p1271 :rule cong :premises (@p817) :args (@t380)) % 16.41/16.62 (step @p1272 :rule cong :premises (@p1271 @p147) :args (@t383)) % 16.41/16.62 (step @p1273 :rule trans :premises (@p1272 @p1270)) % 16.41/16.62 (step @p1274 :rule nary_cong :premises (@p1273 @p1269) :args (@t384)) % 16.41/16.62 (step @p1275 :rule cong :premises (@p747 @p1264) :args ((= @t71 @t381))) % 16.41/16.62 (step @p1276 :rule eq-symm :args (@t381 @t71)) % 16.41/16.62 (step @p1277 :rule trans :premises (@p1276 @p1275)) % 16.41/16.62 (step @p1278 :rule cong :premises (@p1277) :args (@t385)) % 16.41/16.62 (step @p1279 :rule eq-symm :args (@t369 @t38)) % 16.41/16.62 (step @p1280 :rule cong :premises (@p1271 @p157) :args (@t386)) % 16.41/16.62 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 16.41/16.62 (step @p1282 :rule nary_cong :premises (@p1281 @p1278) :args (@t387)) % 16.41/16.62 (step @p1283 :rule cong :premises (@p1282 @p1274) :args (@t388)) % 16.41/16.62 (step @p1284 :rule cong :premises (@p735 @p1283) :args ((=> @t72 @t388))) % 16.41/16.62 (assume-push @p1646 @t72) % 16.41/16.62 (step @p1286 :rule instantiate :premises (@p1646) :args ((@list @t380))) % 16.41/16.62 (step-pop @p1647 :rule scope :premises (@p1286)) % 16.41/16.62 (step @p1287 :rule process_scope :premises (@p1647) :args (@t388)) % 16.41/16.62 (step @p1289 :rule eq_resolve :premises (@p1287 @p1284)) % 16.41/16.62 (step @p1290 :rule eq_resolve :premises (@p1289 @p1262)) % 16.41/16.62 (step @p1291 :rule implies_elim :premises (@p1290)) % 16.41/16.62 (step @p1292 :rule chain_m_resolution :premises (@p1291 @p1171) :args (@t389 @t303 @t350)) % 16.41/16.62 (step @p1293 :rule cnf_equiv_neg2 :args (@t393)) % 16.41/16.62 (assume-push @p1648 @t258) % 16.41/16.62 (assume-push @p1649 @t392) % 16.41/16.62 (assume-push @p1650 @t392) % 16.41/16.62 (assume-push @p1651 @t258) % 16.41/16.62 (step @p1298 :rule trans :premises (@p1648 @p1649)) % 16.41/16.62 (step-pop @p1652 :rule scope :premises (@p1298)) % 16.41/16.62 (step-pop @p1653 :rule scope :premises (@p1652)) % 16.41/16.62 (step @p1299 :rule process_scope :premises (@p1653) :args (@t391)) % 16.41/16.62 (step @p1302 :rule and_intro :premises (@p1649 @p1648)) % 16.41/16.62 (step @p1303 :rule modus_ponens :premises (@p1302 @p1299)) % 16.41/16.62 (step-pop @p1654 :rule scope :premises (@p1303)) % 16.41/16.62 (step-pop @p1655 :rule scope :premises (@p1654)) % 16.41/16.62 (step @p1304 :rule process_scope :premises (@p1655) :args (@t391)) % 16.41/16.62 (step @p1307 :rule implies_elim :premises (@p1304)) % 16.41/16.62 (step @p1308 :rule cnf_and_neg :args (@t394)) % 16.41/16.62 (step @p1309 :rule resolution :premises (@p1308 @p1307) :args (true @t394)) % 16.41/16.62 (step @p1310 :rule reordering :premises (@p1309) :args ((or @t259 @t391 @t395))) % 16.41/16.62 (step @p1311 :rule chain_m_resolution :premises (@p1310 @p1293) :args ((or @t259 @t393 @t395) @t56 (@list @t391))) % 16.41/16.62 (step @p1312 :rule cnf_equiv_neg1 :args (@t393)) % 16.41/16.62 (step @p1313 :rule reordering :premises (@p1312) :args ((or @t392 @t391 @t393))) % 16.41/16.62 (step @p1314 :rule refl :args (@t396)) % 16.41/16.62 (step @p1315 :rule bool-double-not-elim :args (@t392)) % 16.41/16.62 (step @p1316 :rule nary_cong :premises (@p765 @p1315 @p1314) :args ((or @t259 (not @t395) @t396))) % 16.41/16.62 (assume-push @p1656 @t258) % 16.41/16.62 (assume-push @p1657 @t395) % 16.41/16.62 (assume-push @p1658 @t395) % 16.41/16.62 (assume-push @p1659 @t258) % 16.41/16.62 (step @p1321 :rule false_intro :premises (@p1657)) % 16.41/16.62 (step @p1322 :rule refl :args (@t390)) % 16.41/16.62 (step @p1323 :rule cong :premises (@p1656 @p1322) :args (@t391)) % 16.41/16.62 (step @p1324 :rule trans :premises (@p1323 @p1321)) % 16.41/16.62 (step @p1325 :rule false_elim :premises (@p1324)) % 16.41/16.62 (step-pop @p1660 :rule scope :premises (@p1325)) % 16.41/16.62 (step-pop @p1661 :rule scope :premises (@p1660)) % 16.41/16.62 (step @p1326 :rule process_scope :premises (@p1661) :args (@t396)) % 16.41/16.62 (step @p1329 :rule and_intro :premises (@p1657 @p1656)) % 16.41/16.62 (step @p1330 :rule modus_ponens :premises (@p1329 @p1326)) % 16.41/16.62 (step-pop @p1662 :rule scope :premises (@p1330)) % 16.41/16.62 (step-pop @p1663 :rule scope :premises (@p1662)) % 16.41/16.62 (step @p1331 :rule process_scope :premises (@p1663) :args (@t396)) % 16.41/16.62 (step @p1334 :rule implies_elim :premises (@p1331)) % 16.41/16.62 (step @p1335 :rule cnf_and_neg :args (@t397)) % 16.41/16.62 (step @p1336 :rule resolution :premises (@p1335 @p1334) :args (true @t397)) % 16.41/16.62 (step @p1337 :rule eq_resolve :premises (@p1336 @p1316)) % 16.41/16.62 (step @p1338 :rule chain_m_resolution :premises (@p1337 @p1313 @p1311) :args ((or @t259 @t393) @t135 (@list @t391 @t392))) % 16.41/16.62 (step @p1339 :rule chain_m_resolution :premises (@p1338 @p1219) :args (@t393 @t303 (@list @t258))) % 16.41/16.62 (step @p1340 :rule eq-symm :args (@t391 @t392)) % 16.41/16.62 (step @p1341 :rule eq-refl :args (@t392)) % 16.41/16.62 (step @p1342 :rule beta-reduce :args ((= @t398 @t392))) % 16.41/16.62 (step @p1343 :rule refl :args (@t392)) % 16.41/16.62 (step @p1344 :rule cong :premises (@p1343 @p1342) :args ((= @t392 @t398))) % 16.41/16.62 (step @p1345 :rule trans :premises (@p1344 @p1341)) % 16.41/16.62 (step @p1346 :rule eq-symm :args (@t398 @t392)) % 16.41/16.62 (step @p1347 :rule trans :premises (@p1346 @p1345)) % 16.41/16.62 (step @p1322 :rule refl :args (@t390)) % 16.41/16.62 (step @p1348 :rule ho_cong :premises (@p1250 @p1322)) % 16.41/16.62 (step @p1349 :rule cong :premises (@p1348 @p1343) :args ((= @t399 @t392))) % 16.41/16.62 (step @p1350 :rule trans :premises (@p1349 @p1347)) % 16.41/16.62 (step @p1351 :rule true_elim :premises (@p1350)) % 16.41/16.62 (step @p1352 :rule eq-refl :args (@t391)) % 16.41/16.62 (step @p1353 :rule eq-symm :args (@t390 @t36)) % 16.41/16.62 (step @p1354 :rule beta-reduce :args ((= @t400 (= @t390 @t36)))) % 16.41/16.62 (step @p1355 :rule trans :premises (@p1354 @p1353)) % 16.41/16.62 (step @p1356 :rule refl :args (@t391)) % 16.41/16.62 (step @p1357 :rule cong :premises (@p1356 @p1355) :args ((= @t391 @t400))) % 16.41/16.62 (step @p1358 :rule trans :premises (@p1357 @p1352)) % 16.41/16.62 (step @p1359 :rule eq-symm :args (@t400 @t391)) % 16.41/16.62 (step @p1360 :rule trans :premises (@p1359 @p1358)) % 16.41/16.62 (step @p1361 :rule ho_cong :premises (@p43 @p1322)) % 16.41/16.62 (step @p1362 :rule cong :premises (@p1361 @p1356) :args ((= @t401 @t391))) % 16.41/16.62 (step @p1363 :rule trans :premises (@p1362 @p1360)) % 16.41/16.62 (step @p1364 :rule true_elim :premises (@p1363)) % 16.41/16.62 (step @p1365 :rule cong :premises (@p1364 @p1351) :args (@t402)) % 16.41/16.62 (step @p1366 :rule trans :premises (@p1365 @p1340)) % 16.41/16.62 (step @p1367 :rule cong :premises (@p1366) :args (@t403)) % 16.41/16.62 (step @p1368 :rule refl :args (@t371)) % 16.41/16.62 (step @p1369 :rule nary_cong :premises (@p1368 @p1367) :args (@t404)) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p1370 :rule trust :premises () :args (@t404)) % 16.41/16.62 (step @p1371 :rule eq_resolve :premises (@p1370 @p1369)) % 16.41/16.62 (step @p1372 :rule chain_m_resolution :premises (@p1371 @p1339) :args (@t371 @t303 (@list @t393))) % 16.41/16.62 (step @p1373 :rule cnf_or_neg :args (@t372 0)) % 16.41/16.62 (step @p1374 :rule chain_m_resolution :premises (@p1373 @p1372) :args (@t372 @t303 (@list @t371))) % 16.41/16.62 (step @p1375 :rule cnf_equiv_pos2 :args (@t389)) % 16.41/16.62 (step @p1376 :rule reordering :premises (@p1375) :args ((or @t374 (not @t372) (not @t389)))) % 16.41/16.62 (step @p1377 :rule chain_m_resolution :premises (@p1376 @p1374 @p1292) :args (@t374 @t225 (@list @t372 @t389))) % 16.41/16.62 (step @p1378 :rule cnf_or_pos :args (@t374)) % 16.41/16.62 (step @p1379 :rule reordering :premises (@p1378) :args ((or @t365 @t373 (not @t374)))) % 16.41/16.62 (step @p1380 :rule eq-symm :args (@t57 @t13)) % 16.41/16.62 (step @p1381 :rule cong :premises (@p106 @p1380) :args (@t405)) % 16.41/16.62 (step @p1382 :rule cong :premises (@p1381) :args ((forall @t14 @t405))) % 16.41/16.62 (step @p1383 :rule alpha_equiv :args (@t367 @t276 @t357)) % 16.41/16.62 (step @p1384 :rule trans :premises (@p1383 @p1382)) % 16.41/16.62 (step @p1385 :rule equiv_elim2 :premises (@p1384)) % 16.41/16.62 ; trust TRUST THEORY_LEMMA % 16.41/16.62 (step @p1386 :rule trust :premises () :args ((=> @t373 @t406))) % 16.41/16.62 (step @p1387 :rule implies_elim :premises (@p1386)) % 16.41/16.62 (step @p1388 :rule chain_m_resolution :premises (@p1387 @p1385 @p1379 @p1377 @p1247 @p1236) :args (@t362 (@list true false false true true) (@list @t406 @t373 @t374 @t367 @t365))) % 16.41/16.62 (step @p1389 :rule refl :args (@t407)) % 16.41/16.62 (step @p1390 :rule bool-double-not-elim :args (@t61)) % 16.41/16.62 (step @p1391 :rule nary_cong :premises (@p1390 @p765 @p1389 @p1128) :args ((or (not @t132) @t259 @t407 @t345))) % 16.41/16.62 (assume-push @p1664 @t48) % 16.41/16.62 (assume-push @p1665 @t258) % 16.41/16.62 (assume-push @p1666 @t362) % 16.41/16.62 (assume-push @p1667 @t132) % 16.41/16.62 (step @p1136 :rule evaluate :args (@t347)) % 16.41/16.62 (step @p1396 :rule symm :premises (@p1665)) % 16.41/16.62 (step @p1397 :rule trans :premises (@p1666 @p1396 @p55)) % 16.41/16.62 (step @p1398 :rule symm :premises (@p1397)) % 16.41/16.62 (step @p1399 :rule trans :premises (@p55 @p1398)) % 16.41/16.62 (step @p1400 :rule true_intro :premises (@p1399)) % 16.41/16.62 (step @p1401 :rule false_intro :premises (@p1667)) % 16.41/16.62 (step @p1402 :rule symm :premises (@p1401)) % 16.41/16.62 (step @p1403 :rule trans :premises (@p1402 @p1400)) % 16.41/16.62 (step @p1404 false :rule eq_resolve :premises (@p1403 @p1136)) % 16.41/16.62 (step-pop @p1668 :rule scope :premises (@p1404)) % 16.41/16.62 (step-pop @p1669 :rule scope :premises (@p1668)) % 16.41/16.62 (step-pop @p1670 :rule scope :premises (@p1669)) % 16.41/16.62 (step-pop @p1671 :rule scope :premises (@p1670)) % 16.41/16.62 (step @p1405 :rule process_scope :premises (@p1671) :args (false)) % 16.41/16.62 (assume-push @p1672 @t132) % 16.41/16.62 (assume-push @p1673 @t258) % 16.41/16.62 (assume-push @p1674 @t362) % 16.41/16.62 (assume-push @p1675 @t48) % 16.41/16.62 (step @p1414 :rule and_intro :premises (@p55 @p1673 @p1674 @p1672)) % 16.41/16.62 (step-pop @p1676 :rule scope :premises (@p1414)) % 16.41/16.62 (step-pop @p1677 :rule scope :premises (@p1676)) % 16.41/16.62 (step-pop @p1678 :rule scope :premises (@p1677)) % 16.41/16.62 (step-pop @p1679 :rule scope :premises (@p1678)) % 16.41/16.62 (step @p1415 :rule process_scope :premises (@p1679) :args (@t408)) % 16.41/16.62 (step @p1420 :rule implies_elim :premises (@p1415)) % 16.41/16.62 (step @p1421 :rule resolution :premises (@p1420 @p1405) :args (true @t408)) % 16.41/16.62 (step @p1422 :rule not_and :premises (@p1421)) % 16.41/16.62 (step @p1423 :rule eq_resolve :premises (@p1422 @p1391)) % 16.41/16.62 (step @p1424 :rule reordering :premises (@p1423) :args ((or @t61 @t259 @t345 @t407))) % 16.41/16.62 (step @p1425 false :rule chain_m_resolution :premises (@p1424 @p1388 @p1219 @p1167 @p55) :args (false (@list false false true false) (@list @t362 @t258 @t61 @t48))) % 16.41/16.62 ) % 16.41/16.62 % SZS output end Proof % 16.41/16.62 % cvc5 exiting %------------------------------------------------------------------------------