%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP009+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:36:17 AM UTC 2026 % Result : Theorem 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP009+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 09:50:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.hollywood (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.city (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.event (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.street (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.way (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.lonely (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.chevy (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.young (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.car (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.man (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.fellow (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.front (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.furniture (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.seat (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.down (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.barrel (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.old (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.dirty (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.white (-> $$unsorted Bool)) % 0.44/0.66 (define @t1 () (@var "X28" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "X30" $$unsorted)) % 0.44/0.66 (define @t3 () (tptp.in @t2 @t1)) % 0.44/0.66 (define @t4 () (@var "X27" $$unsorted)) % 0.44/0.66 (define @t5 () (= @t4 @t2)) % 0.44/0.66 (define @t6 () (@var "X29" $$unsorted)) % 0.44/0.66 (define @t7 () (tptp.in @t6 @t1)) % 0.44/0.66 (define @t8 () (@var "X26" $$unsorted)) % 0.44/0.66 (define @t9 () (= @t8 @t6)) % 0.44/0.66 (define @t10 () (tptp.young @t4)) % 0.44/0.66 (define @t11 () (tptp.man @t4)) % 0.44/0.66 (define @t12 () (tptp.fellow @t4)) % 0.44/0.66 (define @t13 () (tptp.young @t8)) % 0.44/0.66 (define @t14 () (tptp.man @t8)) % 0.44/0.66 (define @t15 () (tptp.fellow @t8)) % 0.44/0.66 (define @t16 () (= @t8 @t4)) % 0.44/0.66 (define @t17 () (not @t16)) % 0.44/0.66 (define @t18 () (tptp.front @t1)) % 0.44/0.66 (define @t19 () (tptp.furniture @t1)) % 0.44/0.66 (define @t20 () (tptp.seat @t1)) % 0.44/0.66 (define @t21 () (@var "X22" $$unsorted)) % 0.44/0.66 (define @t22 () (@var "X23" $$unsorted)) % 0.44/0.66 (define @t23 () (tptp.in @t22 @t21)) % 0.44/0.66 (define @t24 () (@var "X24" $$unsorted)) % 0.44/0.66 (define @t25 () (tptp.down @t22 @t24)) % 0.44/0.66 (define @t26 () (@var "X25" $$unsorted)) % 0.44/0.66 (define @t27 () (tptp.barrel @t22 @t26)) % 0.44/0.66 (define @t28 () (tptp.old @t26)) % 0.44/0.66 (define @t29 () (tptp.dirty @t26)) % 0.44/0.66 (define @t30 () (tptp.white @t26)) % 0.44/0.66 (define @t31 () (tptp.car @t26)) % 0.44/0.66 (define @t32 () (tptp.chevy @t26)) % 0.44/0.66 (define @t33 () (tptp.lonely @t24)) % 0.44/0.66 (define @t34 () (tptp.way @t24)) % 0.44/0.66 (define @t35 () (tptp.street @t24)) % 0.44/0.66 (define @t36 () (tptp.event @t22)) % 0.44/0.66 (define @t37 () (tptp.city @t21)) % 0.44/0.66 (define @t38 () (tptp.hollywood @t21)) % 0.44/0.66 (define @t39 () (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3)) % 0.44/0.66 (define @t40 () (@list @t21 @t22 @t24 @t26 @t8 @t4 @t1 @t6 @t2)) % 0.44/0.66 (define @t41 () (exists @t40 @t39)) % 0.44/0.66 (define @t42 () (@var "X19" $$unsorted)) % 0.44/0.66 (define @t43 () (@var "X21" $$unsorted)) % 0.44/0.66 (define @t44 () (tptp.in @t43 @t42)) % 0.44/0.66 (define @t45 () (@var "X18" $$unsorted)) % 0.44/0.66 (define @t46 () (= @t45 @t43)) % 0.44/0.66 (define @t47 () (@var "X20" $$unsorted)) % 0.44/0.66 (define @t48 () (tptp.in @t47 @t42)) % 0.44/0.66 (define @t49 () (@var "X17" $$unsorted)) % 0.44/0.66 (define @t50 () (= @t49 @t47)) % 0.44/0.66 (define @t51 () (tptp.young @t45)) % 0.44/0.66 (define @t52 () (tptp.man @t45)) % 0.44/0.66 (define @t53 () (tptp.fellow @t45)) % 0.44/0.66 (define @t54 () (tptp.young @t49)) % 0.44/0.66 (define @t55 () (tptp.man @t49)) % 0.44/0.66 (define @t56 () (tptp.fellow @t49)) % 0.44/0.66 (define @t57 () (= @t49 @t45)) % 0.44/0.66 (define @t58 () (not @t57)) % 0.44/0.66 (define @t59 () (tptp.front @t42)) % 0.44/0.66 (define @t60 () (tptp.furniture @t42)) % 0.44/0.66 (define @t61 () (tptp.seat @t42)) % 0.44/0.66 (define @t62 () (@var "X13" $$unsorted)) % 0.44/0.66 (define @t63 () (@var "X14" $$unsorted)) % 0.44/0.66 (define @t64 () (tptp.in @t63 @t62)) % 0.44/0.66 (define @t65 () (@var "X16" $$unsorted)) % 0.44/0.66 (define @t66 () (tptp.down @t63 @t65)) % 0.44/0.66 (define @t67 () (@var "X15" $$unsorted)) % 0.44/0.66 (define @t68 () (tptp.barrel @t63 @t67)) % 0.44/0.66 (define @t69 () (tptp.lonely @t65)) % 0.44/0.66 (define @t70 () (tptp.way @t65)) % 0.44/0.66 (define @t71 () (tptp.street @t65)) % 0.44/0.66 (define @t72 () (tptp.old @t67)) % 0.44/0.66 (define @t73 () (tptp.dirty @t67)) % 0.44/0.66 (define @t74 () (tptp.white @t67)) % 0.44/0.66 (define @t75 () (tptp.car @t67)) % 0.44/0.66 (define @t76 () (tptp.chevy @t67)) % 0.44/0.66 (define @t77 () (tptp.event @t63)) % 0.44/0.66 (define @t78 () (tptp.city @t62)) % 0.44/0.66 (define @t79 () (tptp.hollywood @t62)) % 0.44/0.66 (define @t80 () (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44)) % 0.44/0.66 (define @t81 () (@list @t62 @t63 @t67 @t65 @t49 @t45 @t42 @t47 @t43)) % 0.44/0.66 (define @t82 () (exists @t81 @t80)) % 0.44/0.66 (define @t83 () (=> @t82 @t41)) % 0.44/0.66 (define @t84 () (@var "X10" $$unsorted)) % 0.44/0.66 (define @t85 () (@var "X12" $$unsorted)) % 0.44/0.66 (define @t86 () (tptp.in @t85 @t84)) % 0.44/0.66 (define @t87 () (@var "X9" $$unsorted)) % 0.44/0.66 (define @t88 () (= @t87 @t85)) % 0.44/0.66 (define @t89 () (@var "X11" $$unsorted)) % 0.44/0.66 (define @t90 () (tptp.in @t89 @t84)) % 0.44/0.66 (define @t91 () (@var "X8" $$unsorted)) % 0.44/0.66 (define @t92 () (= @t91 @t89)) % 0.44/0.66 (define @t93 () (tptp.young @t87)) % 0.44/0.66 (define @t94 () (tptp.man @t87)) % 0.44/0.66 (define @t95 () (tptp.fellow @t87)) % 0.44/0.66 (define @t96 () (tptp.young @t91)) % 0.44/0.66 (define @t97 () (tptp.man @t91)) % 0.44/0.66 (define @t98 () (tptp.fellow @t91)) % 0.44/0.66 (define @t99 () (= @t91 @t87)) % 0.44/0.66 (define @t100 () (not @t99)) % 0.44/0.66 (define @t101 () (tptp.front @t84)) % 0.44/0.66 (define @t102 () (tptp.furniture @t84)) % 0.44/0.66 (define @t103 () (tptp.seat @t84)) % 0.44/0.66 (define @t104 () (@var "X4" $$unsorted)) % 0.44/0.66 (define @t105 () (@var "X5" $$unsorted)) % 0.44/0.66 (define @t106 () (tptp.in @t105 @t104)) % 0.44/0.66 (define @t107 () (@var "X7" $$unsorted)) % 0.44/0.66 (define @t108 () (tptp.down @t105 @t107)) % 0.44/0.66 (define @t109 () (@var "X6" $$unsorted)) % 0.44/0.66 (define @t110 () (tptp.barrel @t105 @t109)) % 0.44/0.66 (define @t111 () (tptp.lonely @t107)) % 0.44/0.66 (define @t112 () (tptp.way @t107)) % 0.44/0.66 (define @t113 () (tptp.street @t107)) % 0.44/0.66 (define @t114 () (tptp.old @t109)) % 0.44/0.66 (define @t115 () (tptp.dirty @t109)) % 0.44/0.66 (define @t116 () (tptp.white @t109)) % 0.44/0.66 (define @t117 () (tptp.car @t109)) % 0.44/0.66 (define @t118 () (tptp.chevy @t109)) % 0.44/0.66 (define @t119 () (tptp.event @t105)) % 0.44/0.66 (define @t120 () (tptp.city @t104)) % 0.44/0.66 (define @t121 () (tptp.hollywood @t104)) % 0.44/0.66 (define @t122 () (and @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86)) % 0.44/0.66 (define @t123 () (@list @t104 @t105 @t109 @t107 @t91 @t87 @t84 @t89 @t85)) % 0.44/0.66 (define @t124 () (exists @t123 @t122)) % 0.44/0.66 (define @t125 () (@var "X1" $$unsorted)) % 0.44/0.66 (define @t126 () (@var "X3" $$unsorted)) % 0.44/0.66 (define @t127 () (tptp.in @t126 @t125)) % 0.44/0.66 (define @t128 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t129 () (= @t128 @t126)) % 0.44/0.66 (define @t130 () (@var "X2" $$unsorted)) % 0.44/0.66 (define @t131 () (tptp.in @t130 @t125)) % 0.44/0.66 (define @t132 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t133 () (= @t132 @t130)) % 0.44/0.66 (define @t134 () (tptp.young @t128)) % 0.44/0.66 (define @t135 () (tptp.man @t128)) % 0.44/0.66 (define @t136 () (tptp.fellow @t128)) % 0.44/0.66 (define @t137 () (tptp.young @t132)) % 0.44/0.66 (define @t138 () (tptp.man @t132)) % 0.44/0.66 (define @t139 () (tptp.fellow @t132)) % 0.44/0.66 (define @t140 () (= @t132 @t128)) % 0.44/0.66 (define @t141 () (not @t140)) % 0.44/0.66 (define @t142 () (tptp.front @t125)) % 0.44/0.66 (define @t143 () (tptp.furniture @t125)) % 0.44/0.66 (define @t144 () (tptp.seat @t125)) % 0.44/0.66 (define @t145 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t146 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t147 () (tptp.in @t146 @t145)) % 0.44/0.66 (define @t148 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t149 () (tptp.down @t146 @t148)) % 0.44/0.66 (define @t150 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t151 () (tptp.barrel @t146 @t150)) % 0.44/0.66 (define @t152 () (tptp.old @t150)) % 0.44/0.66 (define @t153 () (tptp.dirty @t150)) % 0.44/0.66 (define @t154 () (tptp.white @t150)) % 0.44/0.66 (define @t155 () (tptp.car @t150)) % 0.44/0.66 (define @t156 () (tptp.chevy @t150)) % 0.44/0.66 (define @t157 () (tptp.lonely @t148)) % 0.44/0.66 (define @t158 () (tptp.way @t148)) % 0.44/0.66 (define @t159 () (tptp.street @t148)) % 0.44/0.66 (define @t160 () (tptp.event @t146)) % 0.44/0.66 (define @t161 () (tptp.city @t145)) % 0.44/0.66 (define @t162 () (tptp.hollywood @t145)) % 0.44/0.66 (define @t163 () (and @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127)) % 0.44/0.66 (define @t164 () (@list @t145 @t146 @t148 @t150 @t132 @t128 @t125 @t130 @t126)) % 0.44/0.66 (define @t165 () (exists @t164 @t163)) % 0.44/0.66 (define @t166 () (=> @t165 @t124)) % 0.44/0.66 (define @t167 () (and @t166 @t83)) % 0.44/0.66 (define @t168 () (not @t167)) % 0.44/0.66 (define @t169 () (not @t106)) % 0.44/0.66 (define @t170 () (not @t108)) % 0.44/0.66 (define @t171 () (not @t111)) % 0.44/0.66 (define @t172 () (not @t112)) % 0.44/0.66 (define @t173 () (not @t113)) % 0.44/0.66 (define @t174 () (not @t110)) % 0.44/0.66 (define @t175 () (not @t114)) % 0.44/0.66 (define @t176 () (not @t115)) % 0.44/0.66 (define @t177 () (not @t116)) % 0.44/0.66 (define @t178 () (not @t117)) % 0.44/0.66 (define @t179 () (not @t118)) % 0.44/0.66 (define @t180 () (not @t119)) % 0.44/0.66 (define @t181 () (not @t120)) % 0.44/0.66 (define @t182 () (not @t121)) % 0.44/0.66 (define @t183 () (or @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169)) % 0.44/0.66 (define @t184 () (forall (@list @t104 @t105 @t109 @t107) @t183)) % 0.44/0.66 (define @t185 () (not @t147)) % 0.44/0.66 (define @t186 () (not @t149)) % 0.44/0.66 (define @t187 () (not @t157)) % 0.44/0.66 (define @t188 () (not @t158)) % 0.44/0.66 (define @t189 () (not @t159)) % 0.44/0.66 (define @t190 () (not @t151)) % 0.44/0.66 (define @t191 () (not @t152)) % 0.44/0.66 (define @t192 () (not @t153)) % 0.44/0.66 (define @t193 () (not @t154)) % 0.44/0.66 (define @t194 () (not @t155)) % 0.44/0.66 (define @t195 () (not @t156)) % 0.44/0.66 (define @t196 () (not @t160)) % 0.44/0.66 (define @t197 () (not @t161)) % 0.44/0.66 (define @t198 () (not @t162)) % 0.44/0.66 (define @t199 () (or @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185)) % 0.44/0.66 (define @t200 () (forall (@list @t145 @t146 @t148 @t150) @t199)) % 0.44/0.66 (define @t201 () (@list @t145 @t146 @t150 @t148)) % 0.44/0.66 (define @t202 () (not @t3)) % 0.44/0.66 (define @t203 () (not @t7)) % 0.44/0.66 (define @t204 () (not (tptp.young @t2))) % 0.44/0.66 (define @t205 () (not (tptp.man @t2))) % 0.44/0.66 (define @t206 () (not (tptp.fellow @t2))) % 0.44/0.66 (define @t207 () (not (tptp.young @t6))) % 0.44/0.66 (define @t208 () (not (tptp.man @t6))) % 0.44/0.66 (define @t209 () (not (tptp.fellow @t6))) % 0.44/0.66 (define @t210 () (= @t6 @t2)) % 0.44/0.66 (define @t211 () (not @t18)) % 0.44/0.66 (define @t212 () (not @t19)) % 0.44/0.66 (define @t213 () (not @t20)) % 0.44/0.66 (define @t214 () (or @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202)) % 0.44/0.66 (define @t215 () (@list @t1 @t6 @t2)) % 0.44/0.66 (define @t216 () (forall @t215 @t214)) % 0.44/0.66 (define @t217 () (not @t23)) % 0.44/0.66 (define @t218 () (not @t25)) % 0.44/0.66 (define @t219 () (not @t33)) % 0.44/0.66 (define @t220 () (not @t34)) % 0.44/0.66 (define @t221 () (not @t35)) % 0.44/0.66 (define @t222 () (not @t27)) % 0.44/0.66 (define @t223 () (not @t28)) % 0.44/0.66 (define @t224 () (not @t29)) % 0.44/0.66 (define @t225 () (not @t30)) % 0.44/0.66 (define @t226 () (not @t31)) % 0.44/0.66 (define @t227 () (not @t32)) % 0.44/0.66 (define @t228 () (not @t36)) % 0.44/0.66 (define @t229 () (not @t37)) % 0.44/0.66 (define @t230 () (not @t38)) % 0.44/0.66 (define @t231 () (or @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217)) % 0.44/0.66 (define @t232 () (forall (@list @t21 @t22 @t24 @t26) @t231)) % 0.44/0.66 (define @t233 () (or @t232 @t216)) % 0.44/0.66 (define @t234 () (not @t233)) % 0.44/0.66 (define @t235 () (not @t44)) % 0.44/0.66 (define @t236 () (not @t48)) % 0.44/0.66 (define @t237 () (not (tptp.young @t43))) % 0.44/0.66 (define @t238 () (not (tptp.man @t43))) % 0.44/0.66 (define @t239 () (not (tptp.fellow @t43))) % 0.44/0.66 (define @t240 () (not (tptp.young @t47))) % 0.44/0.66 (define @t241 () (not (tptp.man @t47))) % 0.44/0.66 (define @t242 () (not (tptp.fellow @t47))) % 0.44/0.66 (define @t243 () (= @t47 @t43)) % 0.44/0.66 (define @t244 () (not @t59)) % 0.44/0.66 (define @t245 () (not @t60)) % 0.44/0.66 (define @t246 () (not @t61)) % 0.44/0.66 (define @t247 () (or @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235)) % 0.44/0.66 (define @t248 () (@list @t42 @t47 @t43)) % 0.44/0.66 (define @t249 () (forall @t248 @t247)) % 0.44/0.66 (define @t250 () (not @t64)) % 0.44/0.66 (define @t251 () (not @t66)) % 0.44/0.66 (define @t252 () (not @t69)) % 0.44/0.66 (define @t253 () (not @t70)) % 0.44/0.66 (define @t254 () (not @t71)) % 0.44/0.66 (define @t255 () (not @t68)) % 0.44/0.66 (define @t256 () (not @t72)) % 0.44/0.66 (define @t257 () (not @t73)) % 0.44/0.66 (define @t258 () (not @t74)) % 0.44/0.66 (define @t259 () (not @t75)) % 0.44/0.66 (define @t260 () (not @t76)) % 0.44/0.66 (define @t261 () (not @t77)) % 0.44/0.66 (define @t262 () (not @t78)) % 0.44/0.66 (define @t263 () (not @t79)) % 0.44/0.66 (define @t264 () (or @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250)) % 0.44/0.66 (define @t265 () (forall (@list @t62 @t63 @t67 @t65) @t264)) % 0.44/0.66 (define @t266 () (or @t265 @t249)) % 0.44/0.66 (define @t267 () (not @t266)) % 0.44/0.66 (define @t268 () (=> @t267 @t234)) % 0.44/0.66 (define @t269 () (not @t127)) % 0.44/0.66 (define @t270 () (not @t131)) % 0.44/0.66 (define @t271 () (not (tptp.young @t126))) % 0.44/0.66 (define @t272 () (not (tptp.man @t126))) % 0.44/0.66 (define @t273 () (not (tptp.fellow @t126))) % 0.44/0.66 (define @t274 () (not (tptp.young @t130))) % 0.44/0.66 (define @t275 () (not (tptp.man @t130))) % 0.44/0.66 (define @t276 () (not (tptp.fellow @t130))) % 0.44/0.66 (define @t277 () (= @t130 @t126)) % 0.44/0.66 (define @t278 () (not @t142)) % 0.44/0.66 (define @t279 () (not @t143)) % 0.44/0.66 (define @t280 () (not @t144)) % 0.44/0.66 (define @t281 () (or @t280 @t279 @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t269)) % 0.44/0.66 (define @t282 () (@list @t125 @t130 @t126)) % 0.44/0.66 (define @t283 () (forall @t282 @t281)) % 0.44/0.66 (define @t284 () (@list @t130 @t126 @t125)) % 0.44/0.66 (define @t285 () (not (= @t2 @t2))) % 0.44/0.66 (define @t286 () (or @t213 @t212 @t211 (= @t2 @t6) @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t285 @t202)) % 0.44/0.66 (define @t287 () (not @t5)) % 0.44/0.66 (define @t288 () (not @t10)) % 0.44/0.66 (define @t289 () (not @t11)) % 0.44/0.66 (define @t290 () (not @t12)) % 0.44/0.66 (define @t291 () (= @t4 @t6)) % 0.44/0.66 (define @t292 () (or @t287 @t213 @t212 @t211 @t291 @t209 @t208 @t207 @t290 @t289 @t288 @t203 @t287 @t202)) % 0.44/0.66 (define @t293 () (@list @t4)) % 0.44/0.66 (define @t294 () (or @t213 @t212 @t211 @t291 @t209 @t208 @t207 @t290 @t289 @t288 @t203 @t287 @t202)) % 0.44/0.66 (define @t295 () (forall @t293 @t294)) % 0.44/0.66 (define @t296 () (forall @t215 @t295)) % 0.44/0.66 (define @t297 () (forall (@list @t1 @t6 @t2 @t4) @t294)) % 0.44/0.66 (define @t298 () (@list @t4 @t1 @t6 @t2)) % 0.44/0.66 (define @t299 () (not (= @t6 @t6))) % 0.44/0.66 (define @t300 () (or @t213 @t212 @t211 (= @t6 @t4) @t209 @t208 @t207 @t290 @t289 @t288 @t299 @t203 @t287 @t202)) % 0.44/0.66 (define @t301 () (not @t9)) % 0.44/0.66 (define @t302 () (not @t13)) % 0.44/0.66 (define @t303 () (not @t14)) % 0.44/0.66 (define @t304 () (not @t15)) % 0.44/0.66 (define @t305 () (or @t301 @t213 @t212 @t211 @t16 @t304 @t303 @t302 @t290 @t289 @t288 @t301 @t203 @t287 @t202)) % 0.44/0.66 (define @t306 () (@list @t8)) % 0.44/0.66 (define @t307 () (or @t213 @t212 @t211 @t16 @t304 @t303 @t302 @t290 @t289 @t288 @t301 @t203 @t287 @t202)) % 0.44/0.66 (define @t308 () (forall @t306 @t307)) % 0.44/0.66 (define @t309 () (forall @t298 @t308)) % 0.44/0.66 (define @t310 () (forall (@list @t4 @t1 @t6 @t2 @t8) @t307)) % 0.44/0.66 (define @t311 () (forall (@list @t8 @t4 @t1 @t6 @t2) @t307)) % 0.44/0.66 (define @t312 () (or @t232 @t311)) % 0.44/0.66 (define @t313 () (or @t231 @t307)) % 0.44/0.66 (define @t314 () (or @t230 @t229 @t228 @t221 @t220 @t219 @t227 @t226 @t225 @t224 @t223 @t222 @t218 @t217 @t213 @t212 @t211 @t16 @t304 @t303 @t302 @t290 @t289 @t288 @t301 @t203 @t287 @t202)) % 0.44/0.66 (define @t315 () (not @t17)) % 0.44/0.66 (define @t316 () (or @t230 @t229 @t228 @t221 @t220 @t219 @t227 @t226 @t225 @t224 @t223 @t222 @t218 @t217 @t213 @t212 @t211 @t315 @t304 @t303 @t302 @t290 @t289 @t288 @t301 @t203 @t287 @t202)) % 0.44/0.66 (define @t317 () (forall @t40 (not @t39))) % 0.44/0.66 (define @t318 () (not @t317)) % 0.44/0.66 (define @t319 () (not (= @t43 @t43))) % 0.44/0.66 (define @t320 () (or @t246 @t245 @t244 (= @t43 @t47) @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t319 @t235)) % 0.44/0.66 (define @t321 () (not @t46)) % 0.44/0.66 (define @t322 () (not @t51)) % 0.44/0.66 (define @t323 () (not @t52)) % 0.44/0.66 (define @t324 () (not @t53)) % 0.44/0.66 (define @t325 () (= @t45 @t47)) % 0.44/0.66 (define @t326 () (or @t321 @t246 @t245 @t244 @t325 @t242 @t241 @t240 @t324 @t323 @t322 @t236 @t321 @t235)) % 0.44/0.66 (define @t327 () (@list @t45)) % 0.44/0.66 (define @t328 () (or @t246 @t245 @t244 @t325 @t242 @t241 @t240 @t324 @t323 @t322 @t236 @t321 @t235)) % 0.44/0.66 (define @t329 () (forall @t327 @t328)) % 0.44/0.66 (define @t330 () (forall @t248 @t329)) % 0.44/0.66 (define @t331 () (forall (@list @t42 @t47 @t43 @t45) @t328)) % 0.44/0.66 (define @t332 () (@list @t45 @t42 @t47 @t43)) % 0.44/0.66 (define @t333 () (not (= @t47 @t47))) % 0.44/0.66 (define @t334 () (or @t246 @t245 @t244 (= @t47 @t45) @t242 @t241 @t240 @t324 @t323 @t322 @t333 @t236 @t321 @t235)) % 0.44/0.66 (define @t335 () (not @t50)) % 0.44/0.66 (define @t336 () (not @t54)) % 0.44/0.66 (define @t337 () (not @t55)) % 0.44/0.66 (define @t338 () (not @t56)) % 0.44/0.66 (define @t339 () (or @t335 @t246 @t245 @t244 @t57 @t338 @t337 @t336 @t324 @t323 @t322 @t335 @t236 @t321 @t235)) % 0.44/0.66 (define @t340 () (@list @t49)) % 0.44/0.66 (define @t341 () (or @t246 @t245 @t244 @t57 @t338 @t337 @t336 @t324 @t323 @t322 @t335 @t236 @t321 @t235)) % 0.44/0.66 (define @t342 () (forall @t340 @t341)) % 0.44/0.66 (define @t343 () (forall @t332 @t342)) % 0.44/0.66 (define @t344 () (forall (@list @t45 @t42 @t47 @t43 @t49) @t341)) % 0.44/0.66 (define @t345 () (forall (@list @t49 @t45 @t42 @t47 @t43) @t341)) % 0.44/0.66 (define @t346 () (or @t265 @t345)) % 0.44/0.66 (define @t347 () (or @t264 @t341)) % 0.44/0.66 (define @t348 () (or @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t254 @t253 @t252 @t255 @t251 @t250 @t246 @t245 @t244 @t57 @t338 @t337 @t336 @t324 @t323 @t322 @t335 @t236 @t321 @t235)) % 0.44/0.66 (define @t349 () (not @t58)) % 0.44/0.66 (define @t350 () (or @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t254 @t253 @t252 @t255 @t251 @t250 @t246 @t245 @t244 @t349 @t338 @t337 @t336 @t324 @t323 @t322 @t335 @t236 @t321 @t235)) % 0.44/0.66 (define @t351 () (forall @t81 (not @t80))) % 0.44/0.66 (define @t352 () (not @t351)) % 0.44/0.66 (define @t353 () (not @t86)) % 0.44/0.66 (define @t354 () (not @t90)) % 0.44/0.66 (define @t355 () (not (tptp.young @t85))) % 0.44/0.66 (define @t356 () (not (tptp.man @t85))) % 0.44/0.66 (define @t357 () (not (tptp.fellow @t85))) % 0.44/0.66 (define @t358 () (not (tptp.young @t89))) % 0.44/0.66 (define @t359 () (not (tptp.man @t89))) % 0.44/0.66 (define @t360 () (not (tptp.fellow @t89))) % 0.44/0.66 (define @t361 () (= @t89 @t85)) % 0.44/0.66 (define @t362 () (not @t101)) % 0.44/0.66 (define @t363 () (not @t102)) % 0.44/0.66 (define @t364 () (not @t103)) % 0.44/0.66 (define @t365 () (or @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t354 @t353)) % 0.44/0.66 (define @t366 () (not (= @t85 @t85))) % 0.44/0.66 (define @t367 () (or @t364 @t363 @t362 (= @t85 @t89) @t360 @t359 @t358 @t357 @t356 @t355 @t354 @t366 @t353)) % 0.44/0.66 (define @t368 () (@list @t84 @t89 @t85)) % 0.44/0.66 (define @t369 () (not @t88)) % 0.44/0.66 (define @t370 () (not @t93)) % 0.44/0.66 (define @t371 () (not @t94)) % 0.44/0.66 (define @t372 () (not @t95)) % 0.44/0.66 (define @t373 () (= @t87 @t89)) % 0.44/0.66 (define @t374 () (or @t369 @t364 @t363 @t362 @t373 @t360 @t359 @t358 @t372 @t371 @t370 @t354 @t369 @t353)) % 0.44/0.66 (define @t375 () (@list @t87)) % 0.44/0.66 (define @t376 () (or @t364 @t363 @t362 @t373 @t360 @t359 @t358 @t372 @t371 @t370 @t354 @t369 @t353)) % 0.44/0.66 (define @t377 () (forall @t375 @t376)) % 0.44/0.66 (define @t378 () (forall @t368 @t377)) % 0.44/0.66 (define @t379 () (forall (@list @t84 @t89 @t85 @t87) @t376)) % 0.44/0.66 (define @t380 () (@list @t87 @t84 @t89 @t85)) % 0.44/0.66 (define @t381 () (not (= @t89 @t89))) % 0.44/0.66 (define @t382 () (or @t364 @t363 @t362 (= @t89 @t87) @t360 @t359 @t358 @t372 @t371 @t370 @t381 @t354 @t369 @t353)) % 0.44/0.66 (define @t383 () (not @t92)) % 0.44/0.66 (define @t384 () (not @t96)) % 0.44/0.66 (define @t385 () (not @t97)) % 0.44/0.66 (define @t386 () (not @t98)) % 0.44/0.66 (define @t387 () (or @t383 @t364 @t363 @t362 @t99 @t386 @t385 @t384 @t372 @t371 @t370 @t383 @t354 @t369 @t353)) % 0.44/0.66 (define @t388 () (@list @t91)) % 0.44/0.66 (define @t389 () (or @t364 @t363 @t362 @t99 @t386 @t385 @t384 @t372 @t371 @t370 @t383 @t354 @t369 @t353)) % 0.44/0.66 (define @t390 () (forall @t388 @t389)) % 0.44/0.66 (define @t391 () (forall @t380 @t390)) % 0.44/0.66 (define @t392 () (forall (@list @t87 @t84 @t89 @t85 @t91) @t389)) % 0.44/0.66 (define @t393 () (forall (@list @t91 @t87 @t84 @t89 @t85) @t389)) % 0.44/0.66 (define @t394 () (or @t184 @t393)) % 0.44/0.66 (define @t395 () (or @t183 @t389)) % 0.44/0.66 (define @t396 () (or @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t173 @t172 @t171 @t174 @t170 @t169 @t364 @t363 @t362 @t99 @t386 @t385 @t384 @t372 @t371 @t370 @t383 @t354 @t369 @t353)) % 0.44/0.66 (define @t397 () (not @t100)) % 0.44/0.66 (define @t398 () (or @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175 @t173 @t172 @t171 @t174 @t170 @t169 @t364 @t363 @t362 @t397 @t386 @t385 @t384 @t372 @t371 @t370 @t383 @t354 @t369 @t353)) % 0.44/0.66 (define @t399 () (forall @t123 (not @t122))) % 0.44/0.66 (define @t400 () (not @t399)) % 0.44/0.66 (define @t401 () (not (= @t126 @t126))) % 0.44/0.66 (define @t402 () (or @t280 @t279 @t278 (= @t126 @t130) @t276 @t275 @t274 @t273 @t272 @t271 @t270 @t401 @t269)) % 0.44/0.66 (define @t403 () (not @t129)) % 0.44/0.66 (define @t404 () (not @t134)) % 0.44/0.66 (define @t405 () (not @t135)) % 0.44/0.66 (define @t406 () (not @t136)) % 0.44/0.66 (define @t407 () (= @t128 @t130)) % 0.44/0.66 (define @t408 () (or @t403 @t280 @t279 @t278 @t407 @t276 @t275 @t274 @t406 @t405 @t404 @t270 @t403 @t269)) % 0.44/0.66 (define @t409 () (@list @t128)) % 0.44/0.66 (define @t410 () (or @t280 @t279 @t278 @t407 @t276 @t275 @t274 @t406 @t405 @t404 @t270 @t403 @t269)) % 0.44/0.66 (define @t411 () (forall @t409 @t410)) % 0.44/0.66 (define @t412 () (forall @t282 @t411)) % 0.44/0.66 (define @t413 () (forall (@list @t125 @t130 @t126 @t128) @t410)) % 0.44/0.66 (define @t414 () (@list @t128 @t125 @t130 @t126)) % 0.44/0.66 (define @t415 () (not (= @t130 @t130))) % 0.44/0.66 (define @t416 () (or @t280 @t279 @t278 (= @t130 @t128) @t276 @t275 @t274 @t406 @t405 @t404 @t415 @t270 @t403 @t269)) % 0.44/0.66 (define @t417 () (not @t133)) % 0.44/0.66 (define @t418 () (not @t137)) % 0.44/0.66 (define @t419 () (not @t138)) % 0.44/0.66 (define @t420 () (not @t139)) % 0.44/0.66 (define @t421 () (or @t417 @t280 @t279 @t278 @t140 @t420 @t419 @t418 @t406 @t405 @t404 @t417 @t270 @t403 @t269)) % 0.44/0.66 (define @t422 () (@list @t132)) % 0.44/0.66 (define @t423 () (or @t280 @t279 @t278 @t140 @t420 @t419 @t418 @t406 @t405 @t404 @t417 @t270 @t403 @t269)) % 0.44/0.66 (define @t424 () (forall @t422 @t423)) % 0.44/0.66 (define @t425 () (forall @t414 @t424)) % 0.44/0.66 (define @t426 () (forall (@list @t128 @t125 @t130 @t126 @t132) @t423)) % 0.44/0.66 (define @t427 () (forall (@list @t132 @t128 @t125 @t130 @t126) @t423)) % 0.44/0.66 (define @t428 () (or @t200 @t427)) % 0.44/0.66 (define @t429 () (or @t199 @t423)) % 0.44/0.66 (define @t430 () (or @t198 @t197 @t196 @t189 @t188 @t187 @t195 @t194 @t193 @t192 @t191 @t190 @t186 @t185 @t280 @t279 @t278 @t140 @t420 @t419 @t418 @t406 @t405 @t404 @t417 @t270 @t403 @t269)) % 0.44/0.66 (define @t431 () (not @t141)) % 0.44/0.66 (define @t432 () (or @t198 @t197 @t196 @t189 @t188 @t187 @t195 @t194 @t193 @t192 @t191 @t190 @t186 @t185 @t280 @t279 @t278 @t431 @t420 @t419 @t418 @t406 @t405 @t404 @t417 @t270 @t403 @t269)) % 0.44/0.66 (define @t433 () (forall @t164 (not @t163))) % 0.44/0.66 (define @t434 () (not @t433)) % 0.44/0.66 (define @t435 () (forall @t368 @t365)) % 0.44/0.66 (define @t436 () (or @t184 @t435)) % 0.44/0.66 (define @t437 () (not @t436)) % 0.44/0.66 (define @t438 () (or @t200 @t283)) % 0.44/0.66 (define @t439 () (not @t438)) % 0.44/0.66 (define @t440 () (=> @t439 @t437)) % 0.44/0.66 (define @t441 () (@list false)) % 0.44/0.66 (define @t442 () (@list @t200)) % 0.44/0.66 (assume @p1 @t168) % 0.44/0.66 (assume @p2 true) % 0.44/0.66 (step @p3 :rule quant_var_reordering :args ((= (forall (@list @t104 @t105 @t107 @t109) @t183) @t184))) % 0.44/0.66 (step @p4 :rule alpha_equiv :args (@t200 @t201 (@list @t104 @t105 @t109 @t107))) % 0.44/0.66 (step @p5 :rule trans :premises (@p4 @p3)) % 0.44/0.66 (step @p6 :rule equiv_elim2 :premises (@p5)) % 0.44/0.66 (step @p7 :rule alpha_equiv :args (@t200 @t201 (@list @t21 @t22 @t26 @t24))) % 0.44/0.66 (step @p8 :rule equiv_elim2 :premises (@p7)) % 0.44/0.66 (step @p9 :rule cnf_implies_neg1 :args (@t268)) % 0.44/0.66 (step @p10 :rule reordering :premises (@p9) :args ((or @t267 @t268))) % 0.44/0.66 (step @p11 :rule bool-double-not-elim :args (@t233)) % 0.44/0.66 (step @p12 :rule refl :args (@t268)) % 0.44/0.66 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t268 (not @t234)))) % 0.44/0.66 (step @p14 :rule cnf_implies_neg2 :args (@t268)) % 0.44/0.66 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.44/0.66 (step @p16 :rule reordering :premises (@p15) :args ((or @t233 @t268))) % 0.44/0.66 (step @p17 :rule cnf_or_neg :args (@t266 1)) % 0.44/0.66 (step @p18 :rule cnf_or_pos :args (@t233)) % 0.44/0.66 (step @p19 :rule reordering :premises (@p18) :args ((or @t232 @t216 @t234))) % 0.44/0.66 (step @p20 :rule alpha_equiv :args (@t283 @t284 (@list @t47 @t43 @t42))) % 0.44/0.66 (step @p21 :rule equiv_elim1 :premises (@p20)) % 0.44/0.66 (step @p22 :rule reordering :premises (@p21) :args ((or @t249 (not @t283)))) % 0.44/0.66 (step @p23 :rule alpha_equiv :args (@t283 @t284 (@list @t6 @t2 @t1))) % 0.44/0.66 (step @p24 :rule equiv_elim2 :premises (@p23)) % 0.44/0.66 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p19 @p17 @p16 @p10) :args ((or @t232 @t268) (@list true false true false true) (@list @t283 @t216 @t249 @t233 @t266))) % 0.44/0.66 (step @p26 :rule aci_norm :args ((= (or @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 false @t202) @t214))) % 0.44/0.66 (step @p27 :rule refl :args (@t202)) % 0.44/0.66 (step @p28 :rule evaluate :args ((not true))) % 0.44/0.66 (step @p29 :rule eq-refl :args (@t2)) % 0.44/0.66 (step @p30 :rule cong :premises (@p29) :args (@t285)) % 0.44/0.66 (step @p31 :rule trans :premises (@p30 @p28)) % 0.44/0.66 (step @p32 :rule refl :args (@t203)) % 0.44/0.66 (step @p33 :rule refl :args (@t204)) % 0.44/0.66 (step @p34 :rule refl :args (@t205)) % 0.44/0.66 (step @p35 :rule refl :args (@t206)) % 0.44/0.66 (step @p36 :rule refl :args (@t207)) % 0.44/0.66 (step @p37 :rule refl :args (@t208)) % 0.44/0.66 (step @p38 :rule refl :args (@t209)) % 0.44/0.66 (step @p39 :rule eq-symm :args (@t2 @t6)) % 0.44/0.66 (step @p40 :rule refl :args (@t211)) % 0.44/0.66 (step @p41 :rule refl :args (@t212)) % 0.44/0.66 (step @p42 :rule refl :args (@t213)) % 0.44/0.66 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p27) :args (@t286)) % 0.44/0.66 (step @p44 :rule trans :premises (@p43 @p26)) % 0.44/0.66 (step @p45 :rule cong :premises (@p44) :args ((forall @t215 @t286))) % 0.44/0.66 (step @p46 :rule quant-var-elim-eq :args ((= (forall @t293 @t292) @t286))) % 0.44/0.66 (step @p47 :rule aci_norm :args ((= @t294 @t292))) % 0.44/0.66 (step @p48 :rule cong :premises (@p47) :args (@t295)) % 0.44/0.66 (step @p49 :rule trans :premises (@p48 @p46)) % 0.44/0.66 (step @p50 :rule cong :premises (@p49) :args (@t296)) % 0.44/0.66 (step @p51 :rule quant-merge-prenex :args ((= @t296 @t297))) % 0.44/0.66 (step @p52 :rule symm :premises (@p51)) % 0.44/0.66 (step @p53 :rule quant_var_reordering :args ((= (forall @t298 @t294) @t297))) % 0.44/0.66 (step @p54 :rule trans :premises (@p53 @p52 @p50)) % 0.44/0.66 (step @p55 :rule trans :premises (@p54 @p45)) % 0.44/0.66 (step @p56 :rule aci_norm :args ((= (or @t213 @t212 @t211 @t291 @t209 @t208 @t207 @t290 @t289 @t288 false @t203 @t287 @t202) @t294))) % 0.44/0.66 (step @p57 :rule refl :args (@t287)) % 0.44/0.66 (step @p58 :rule eq-refl :args (@t6)) % 0.44/0.66 (step @p59 :rule cong :premises (@p58) :args (@t299)) % 0.44/0.66 (step @p60 :rule trans :premises (@p59 @p28)) % 0.44/0.66 (step @p61 :rule refl :args (@t288)) % 0.44/0.66 (step @p62 :rule refl :args (@t289)) % 0.44/0.66 (step @p63 :rule refl :args (@t290)) % 0.44/0.66 (step @p64 :rule eq-symm :args (@t6 @t4)) % 0.44/0.66 (step @p65 :rule nary_cong :premises (@p42 @p41 @p40 @p64 @p38 @p37 @p36 @p63 @p62 @p61 @p60 @p32 @p57 @p27) :args (@t300)) % 0.44/0.66 (step @p66 :rule trans :premises (@p65 @p56)) % 0.44/0.66 (step @p67 :rule cong :premises (@p66) :args ((forall @t298 @t300))) % 0.44/0.66 (step @p68 :rule trans :premises (@p67 @p55)) % 0.44/0.66 (step @p69 :rule quant-var-elim-eq :args ((= (forall @t306 @t305) @t300))) % 0.44/0.66 (step @p70 :rule aci_norm :args ((= @t307 @t305))) % 0.44/0.66 (step @p71 :rule cong :premises (@p70) :args (@t308)) % 0.44/0.66 (step @p72 :rule trans :premises (@p71 @p69)) % 0.44/0.66 (step @p73 :rule cong :premises (@p72) :args (@t309)) % 0.44/0.66 (step @p74 :rule quant-merge-prenex :args ((= @t309 @t310))) % 0.44/0.66 (step @p75 :rule symm :premises (@p74)) % 0.44/0.66 (step @p76 :rule quant_var_reordering :args ((= @t311 @t310))) % 0.44/0.66 (step @p77 :rule trans :premises (@p76 @p75 @p73)) % 0.44/0.66 (step @p78 :rule trans :premises (@p77 @p68)) % 0.44/0.66 (step @p79 :rule refl :args (@t232)) % 0.44/0.66 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t312)) % 0.44/0.66 (step @p81 :rule quant-miniscope-or :args ((= (forall @t40 @t313) @t312))) % 0.44/0.66 (step @p82 :rule aci_norm :args ((= @t314 @t313))) % 0.44/0.66 (step @p83 :rule cong :premises (@p82) :args ((forall @t40 @t314))) % 0.44/0.66 (step @p84 :rule trans :premises (@p83 @p81)) % 0.44/0.66 (step @p85 :rule trans :premises (@p84 @p80)) % 0.44/0.66 (step @p86 :rule refl :args (@t202)) % 0.44/0.66 (step @p87 :rule refl :args (@t287)) % 0.44/0.66 (step @p88 :rule refl :args (@t203)) % 0.44/0.66 (step @p89 :rule refl :args (@t301)) % 0.44/0.66 (step @p90 :rule refl :args (@t288)) % 0.44/0.66 (step @p91 :rule refl :args (@t289)) % 0.44/0.66 (step @p92 :rule refl :args (@t290)) % 0.44/0.66 (step @p93 :rule refl :args (@t302)) % 0.44/0.66 (step @p94 :rule refl :args (@t303)) % 0.44/0.66 (step @p95 :rule refl :args (@t304)) % 0.44/0.66 (step @p96 :rule bool-double-not-elim :args (@t16)) % 0.44/0.66 (step @p97 :rule refl :args (@t211)) % 0.44/0.66 (step @p98 :rule refl :args (@t212)) % 0.44/0.66 (step @p99 :rule refl :args (@t213)) % 0.44/0.66 (step @p100 :rule refl :args (@t217)) % 0.44/0.66 (step @p101 :rule refl :args (@t218)) % 0.44/0.66 (step @p102 :rule refl :args (@t222)) % 0.44/0.66 (step @p103 :rule refl :args (@t223)) % 0.44/0.66 (step @p104 :rule refl :args (@t224)) % 0.44/0.66 (step @p105 :rule refl :args (@t225)) % 0.44/0.66 (step @p106 :rule refl :args (@t226)) % 0.44/0.66 (step @p107 :rule refl :args (@t227)) % 0.44/0.66 (step @p108 :rule refl :args (@t219)) % 0.44/0.66 (step @p109 :rule refl :args (@t220)) % 0.44/0.66 (step @p110 :rule refl :args (@t221)) % 0.44/0.66 (step @p111 :rule refl :args (@t228)) % 0.44/0.66 (step @p112 :rule refl :args (@t229)) % 0.44/0.66 (step @p113 :rule refl :args (@t230)) % 0.44/0.66 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86) :args (@t316)) % 0.44/0.66 (step @p115 :rule aci_norm :args ((= (or @t230 (or @t229 (or @t228 (or @t221 (or @t220 (or @t219 (or @t227 (or @t226 (or @t225 (or @t224 (or @t223 (or @t222 (or @t218 (or @t217 (or @t213 (or @t212 (or @t211 (or @t315 (or @t304 (or @t303 (or @t302 (or @t290 (or @t289 (or @t288 (or @t301 (or @t203 (or @t287 @t202))))))))))))))))))))))))))) @t316))) % 0.44/0.66 (step @p116 :rule trans :premises (@p115 @p114)) % 0.44/0.66 (step @p117 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.44/0.66 (step @p118 :rule nary_cong :premises (@p88 @p117) :args ((or @t203 (not (and @t5 @t3))))) % 0.44/0.66 (step @p119 :rule bool-and-de-morgan :args (@t7 @t5 (and @t3))) % 0.44/0.66 (step @p120 :rule trans :premises (@p119 @p118)) % 0.44/0.66 (step @p121 :rule nary_cong :premises (@p89 @p120) :args ((or @t301 (not (and @t7 @t5 @t3))))) % 0.44/0.66 (step @p122 :rule bool-and-de-morgan :args (@t9 @t7 (and @t5 @t3))) % 0.44/0.66 (step @p123 :rule trans :premises (@p122 @p121)) % 0.44/0.66 (step @p124 :rule nary_cong :premises (@p90 @p123) :args ((or @t288 (not (and @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p125 :rule bool-and-de-morgan :args (@t10 @t9 (and @t7 @t5 @t3))) % 0.44/0.66 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.66 (step @p127 :rule nary_cong :premises (@p91 @p126) :args ((or @t289 (not (and @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p128 :rule bool-and-de-morgan :args (@t11 @t10 (and @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p129 :rule trans :premises (@p128 @p127)) % 0.44/0.66 (step @p130 :rule nary_cong :premises (@p92 @p129) :args ((or @t290 (not (and @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p131 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p132 :rule trans :premises (@p131 @p130)) % 0.44/0.66 (step @p133 :rule nary_cong :premises (@p93 @p132) :args ((or @t302 (not (and @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p134 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p135 :rule trans :premises (@p134 @p133)) % 0.44/0.66 (step @p136 :rule nary_cong :premises (@p94 @p135) :args ((or @t303 (not (and @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p137 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p138 :rule trans :premises (@p137 @p136)) % 0.44/0.66 (step @p139 :rule nary_cong :premises (@p95 @p138) :args ((or @t304 (not (and @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p140 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p141 :rule trans :premises (@p140 @p139)) % 0.44/0.66 (step @p142 :rule refl :args (@t315)) % 0.44/0.66 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t315 (not (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p144 :rule bool-and-de-morgan :args (@t17 @t15 (and @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p145 :rule trans :premises (@p144 @p143)) % 0.44/0.66 (step @p146 :rule nary_cong :premises (@p97 @p145) :args ((or @t211 (not (and @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p147 :rule bool-and-de-morgan :args (@t18 @t17 (and @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p148 :rule trans :premises (@p147 @p146)) % 0.44/0.66 (step @p149 :rule nary_cong :premises (@p98 @p148) :args ((or @t212 (not (and @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p150 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p151 :rule trans :premises (@p150 @p149)) % 0.44/0.66 (step @p152 :rule nary_cong :premises (@p99 @p151) :args ((or @t213 (not (and @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p153 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p154 :rule trans :premises (@p153 @p152)) % 0.44/0.66 (step @p155 :rule nary_cong :premises (@p100 @p154) :args ((or @t217 (not (and @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p156 :rule bool-and-de-morgan :args (@t23 @t20 (and @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p157 :rule trans :premises (@p156 @p155)) % 0.44/0.66 (step @p158 :rule nary_cong :premises (@p101 @p157) :args ((or @t218 (not (and @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p159 :rule bool-and-de-morgan :args (@t25 @t23 (and @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p160 :rule trans :premises (@p159 @p158)) % 0.44/0.66 (step @p161 :rule nary_cong :premises (@p102 @p160) :args ((or @t222 (not (and @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p162 :rule bool-and-de-morgan :args (@t27 @t25 (and @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p163 :rule trans :premises (@p162 @p161)) % 0.44/0.66 (step @p164 :rule nary_cong :premises (@p103 @p163) :args ((or @t223 (not (and @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p165 :rule bool-and-de-morgan :args (@t28 @t27 (and @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p166 :rule trans :premises (@p165 @p164)) % 0.44/0.66 (step @p167 :rule nary_cong :premises (@p104 @p166) :args ((or @t224 (not (and @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p168 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p169 :rule trans :premises (@p168 @p167)) % 0.44/0.66 (step @p170 :rule nary_cong :premises (@p105 @p169) :args ((or @t225 (not (and @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p171 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p172 :rule trans :premises (@p171 @p170)) % 0.44/0.66 (step @p173 :rule nary_cong :premises (@p106 @p172) :args ((or @t226 (not (and @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p174 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p175 :rule trans :premises (@p174 @p173)) % 0.44/0.66 (step @p176 :rule nary_cong :premises (@p107 @p175) :args ((or @t227 (not (and @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p177 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p178 :rule trans :premises (@p177 @p176)) % 0.44/0.66 (step @p179 :rule nary_cong :premises (@p108 @p178) :args ((or @t219 (not (and @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p180 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p181 :rule trans :premises (@p180 @p179)) % 0.44/0.66 (step @p182 :rule nary_cong :premises (@p109 @p181) :args ((or @t220 (not (and @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p183 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p184 :rule trans :premises (@p183 @p182)) % 0.44/0.66 (step @p185 :rule nary_cong :premises (@p110 @p184) :args ((or @t221 (not (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p186 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p187 :rule trans :premises (@p186 @p185)) % 0.44/0.66 (step @p188 :rule nary_cong :premises (@p111 @p187) :args ((or @t228 (not (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p189 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p190 :rule trans :premises (@p189 @p188)) % 0.44/0.66 (step @p191 :rule nary_cong :premises (@p112 @p190) :args ((or @t229 (not (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p192 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p193 :rule trans :premises (@p192 @p191)) % 0.44/0.66 (step @p194 :rule nary_cong :premises (@p113 @p193) :args ((or @t230 (not (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))))) % 0.44/0.66 (step @p195 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t25 @t23 @t20 @t19 @t18 @t17 @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t7 @t5 @t3))) % 0.44/0.66 (step @p196 :rule trans :premises (@p195 @p194)) % 0.44/0.66 (step @p197 :rule trans :premises (@p196 @p116)) % 0.44/0.66 (step @p198 :rule cong :premises (@p197) :args (@t317)) % 0.44/0.66 (step @p199 :rule trans :premises (@p198 @p85)) % 0.44/0.66 (step @p200 :rule cong :premises (@p199) :args (@t318)) % 0.44/0.66 (step @p201 :rule exists-elim :args ((= @t41 @t318))) % 0.44/0.66 (step @p202 :rule trans :premises (@p201 @p200)) % 0.44/0.66 (step @p203 :rule aci_norm :args ((= (or @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 false @t235) @t247))) % 0.44/0.66 (step @p204 :rule refl :args (@t235)) % 0.44/0.66 (step @p205 :rule eq-refl :args (@t43)) % 0.44/0.66 (step @p206 :rule cong :premises (@p205) :args (@t319)) % 0.44/0.66 (step @p207 :rule trans :premises (@p206 @p28)) % 0.44/0.66 (step @p208 :rule refl :args (@t236)) % 0.44/0.66 (step @p209 :rule refl :args (@t237)) % 0.44/0.66 (step @p210 :rule refl :args (@t238)) % 0.44/0.66 (step @p211 :rule refl :args (@t239)) % 0.44/0.66 (step @p212 :rule refl :args (@t240)) % 0.44/0.66 (step @p213 :rule refl :args (@t241)) % 0.44/0.66 (step @p214 :rule refl :args (@t242)) % 0.44/0.66 (step @p215 :rule eq-symm :args (@t43 @t47)) % 0.44/0.66 (step @p216 :rule refl :args (@t244)) % 0.44/0.66 (step @p217 :rule refl :args (@t245)) % 0.44/0.66 (step @p218 :rule refl :args (@t246)) % 0.44/0.66 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p204) :args (@t320)) % 0.44/0.66 (step @p220 :rule trans :premises (@p219 @p203)) % 0.44/0.66 (step @p221 :rule cong :premises (@p220) :args ((forall @t248 @t320))) % 0.44/0.66 (step @p222 :rule quant-var-elim-eq :args ((= (forall @t327 @t326) @t320))) % 0.44/0.66 (step @p223 :rule aci_norm :args ((= @t328 @t326))) % 0.44/0.66 (step @p224 :rule cong :premises (@p223) :args (@t329)) % 0.44/0.66 (step @p225 :rule trans :premises (@p224 @p222)) % 0.44/0.66 (step @p226 :rule cong :premises (@p225) :args (@t330)) % 0.44/0.66 (step @p227 :rule quant-merge-prenex :args ((= @t330 @t331))) % 0.44/0.66 (step @p228 :rule symm :premises (@p227)) % 0.44/0.66 (step @p229 :rule quant_var_reordering :args ((= (forall @t332 @t328) @t331))) % 0.44/0.66 (step @p230 :rule trans :premises (@p229 @p228 @p226)) % 0.44/0.66 (step @p231 :rule trans :premises (@p230 @p221)) % 0.44/0.66 (step @p232 :rule aci_norm :args ((= (or @t246 @t245 @t244 @t325 @t242 @t241 @t240 @t324 @t323 @t322 false @t236 @t321 @t235) @t328))) % 0.44/0.66 (step @p233 :rule refl :args (@t321)) % 0.44/0.66 (step @p234 :rule eq-refl :args (@t47)) % 0.44/0.66 (step @p235 :rule cong :premises (@p234) :args (@t333)) % 0.44/0.66 (step @p236 :rule trans :premises (@p235 @p28)) % 0.44/0.66 (step @p237 :rule refl :args (@t322)) % 0.44/0.66 (step @p238 :rule refl :args (@t323)) % 0.44/0.66 (step @p239 :rule refl :args (@t324)) % 0.44/0.66 (step @p240 :rule eq-symm :args (@t47 @t45)) % 0.44/0.66 (step @p241 :rule nary_cong :premises (@p218 @p217 @p216 @p240 @p214 @p213 @p212 @p239 @p238 @p237 @p236 @p208 @p233 @p204) :args (@t334)) % 0.44/0.66 (step @p242 :rule trans :premises (@p241 @p232)) % 0.44/0.66 (step @p243 :rule cong :premises (@p242) :args ((forall @t332 @t334))) % 0.44/0.66 (step @p244 :rule trans :premises (@p243 @p231)) % 0.44/0.66 (step @p245 :rule quant-var-elim-eq :args ((= (forall @t340 @t339) @t334))) % 0.44/0.66 (step @p246 :rule aci_norm :args ((= @t341 @t339))) % 0.44/0.66 (step @p247 :rule cong :premises (@p246) :args (@t342)) % 0.44/0.66 (step @p248 :rule trans :premises (@p247 @p245)) % 0.44/0.66 (step @p249 :rule cong :premises (@p248) :args (@t343)) % 0.44/0.66 (step @p250 :rule quant-merge-prenex :args ((= @t343 @t344))) % 0.44/0.66 (step @p251 :rule symm :premises (@p250)) % 0.44/0.66 (step @p252 :rule quant_var_reordering :args ((= @t345 @t344))) % 0.44/0.66 (step @p253 :rule trans :premises (@p252 @p251 @p249)) % 0.44/0.66 (step @p254 :rule trans :premises (@p253 @p244)) % 0.44/0.66 (step @p255 :rule refl :args (@t265)) % 0.44/0.66 (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t346)) % 0.44/0.66 (step @p257 :rule quant-miniscope-or :args ((= (forall @t81 @t347) @t346))) % 0.44/0.66 (step @p258 :rule aci_norm :args ((= @t348 @t347))) % 0.44/0.66 (step @p259 :rule cong :premises (@p258) :args ((forall @t81 @t348))) % 0.44/0.66 (step @p260 :rule trans :premises (@p259 @p257)) % 0.44/0.66 (step @p261 :rule trans :premises (@p260 @p256)) % 0.44/0.66 (step @p262 :rule refl :args (@t235)) % 0.44/0.66 (step @p263 :rule refl :args (@t321)) % 0.44/0.66 (step @p264 :rule refl :args (@t236)) % 0.44/0.66 (step @p265 :rule refl :args (@t335)) % 0.44/0.66 (step @p266 :rule refl :args (@t322)) % 0.44/0.66 (step @p267 :rule refl :args (@t323)) % 0.44/0.66 (step @p268 :rule refl :args (@t324)) % 0.44/0.66 (step @p269 :rule refl :args (@t336)) % 0.44/0.66 (step @p270 :rule refl :args (@t337)) % 0.44/0.66 (step @p271 :rule refl :args (@t338)) % 0.44/0.66 (step @p272 :rule bool-double-not-elim :args (@t57)) % 0.44/0.66 (step @p273 :rule refl :args (@t244)) % 0.44/0.66 (step @p274 :rule refl :args (@t245)) % 0.44/0.66 (step @p275 :rule refl :args (@t246)) % 0.44/0.66 (step @p276 :rule refl :args (@t250)) % 0.44/0.66 (step @p277 :rule refl :args (@t251)) % 0.44/0.66 (step @p278 :rule refl :args (@t255)) % 0.44/0.66 (step @p279 :rule refl :args (@t252)) % 0.44/0.66 (step @p280 :rule refl :args (@t253)) % 0.44/0.66 (step @p281 :rule refl :args (@t254)) % 0.44/0.66 (step @p282 :rule refl :args (@t256)) % 0.44/0.66 (step @p283 :rule refl :args (@t257)) % 0.44/0.66 (step @p284 :rule refl :args (@t258)) % 0.44/0.66 (step @p285 :rule refl :args (@t259)) % 0.44/0.66 (step @p286 :rule refl :args (@t260)) % 0.44/0.66 (step @p287 :rule refl :args (@t261)) % 0.44/0.66 (step @p288 :rule refl :args (@t262)) % 0.44/0.66 (step @p289 :rule refl :args (@t263)) % 0.44/0.66 (step @p290 :rule nary_cong :premises (@p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282 @p281 @p280 @p279 @p278 @p277 @p276 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p265 @p264 @p263 @p262) :args (@t350)) % 0.44/0.66 (step @p291 :rule aci_norm :args ((= (or @t263 (or @t262 (or @t261 (or @t260 (or @t259 (or @t258 (or @t257 (or @t256 (or @t254 (or @t253 (or @t252 (or @t255 (or @t251 (or @t250 (or @t246 (or @t245 (or @t244 (or @t349 (or @t338 (or @t337 (or @t336 (or @t324 (or @t323 (or @t322 (or @t335 (or @t236 (or @t321 @t235))))))))))))))))))))))))))) @t350))) % 0.44/0.66 (step @p292 :rule trans :premises (@p291 @p290)) % 0.44/0.66 (step @p293 :rule bool-and-de-morgan :args (@t46 @t44 true)) % 0.44/0.66 (step @p294 :rule nary_cong :premises (@p264 @p293) :args ((or @t236 (not (and @t46 @t44))))) % 0.44/0.66 (step @p295 :rule bool-and-de-morgan :args (@t48 @t46 (and @t44))) % 0.44/0.66 (step @p296 :rule trans :premises (@p295 @p294)) % 0.44/0.66 (step @p297 :rule nary_cong :premises (@p265 @p296) :args ((or @t335 (not (and @t48 @t46 @t44))))) % 0.44/0.66 (step @p298 :rule bool-and-de-morgan :args (@t50 @t48 (and @t46 @t44))) % 0.44/0.66 (step @p299 :rule trans :premises (@p298 @p297)) % 0.44/0.66 (step @p300 :rule nary_cong :premises (@p266 @p299) :args ((or @t322 (not (and @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p301 :rule bool-and-de-morgan :args (@t51 @t50 (and @t48 @t46 @t44))) % 0.44/0.66 (step @p302 :rule trans :premises (@p301 @p300)) % 0.44/0.66 (step @p303 :rule nary_cong :premises (@p267 @p302) :args ((or @t323 (not (and @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p304 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p305 :rule trans :premises (@p304 @p303)) % 0.44/0.66 (step @p306 :rule nary_cong :premises (@p268 @p305) :args ((or @t324 (not (and @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p307 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p308 :rule trans :premises (@p307 @p306)) % 0.44/0.66 (step @p309 :rule nary_cong :premises (@p269 @p308) :args ((or @t336 (not (and @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p310 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p311 :rule trans :premises (@p310 @p309)) % 0.44/0.66 (step @p312 :rule nary_cong :premises (@p270 @p311) :args ((or @t337 (not (and @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p313 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p314 :rule trans :premises (@p313 @p312)) % 0.44/0.66 (step @p315 :rule nary_cong :premises (@p271 @p314) :args ((or @t338 (not (and @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p316 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p317 :rule trans :premises (@p316 @p315)) % 0.44/0.66 (step @p318 :rule refl :args (@t349)) % 0.44/0.66 (step @p319 :rule nary_cong :premises (@p318 @p317) :args ((or @t349 (not (and @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p320 :rule bool-and-de-morgan :args (@t58 @t56 (and @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p321 :rule trans :premises (@p320 @p319)) % 0.44/0.66 (step @p322 :rule nary_cong :premises (@p273 @p321) :args ((or @t244 (not (and @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p323 :rule bool-and-de-morgan :args (@t59 @t58 (and @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p324 :rule trans :premises (@p323 @p322)) % 0.44/0.66 (step @p325 :rule nary_cong :premises (@p274 @p324) :args ((or @t245 (not (and @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p326 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p327 :rule trans :premises (@p326 @p325)) % 0.44/0.66 (step @p328 :rule nary_cong :premises (@p275 @p327) :args ((or @t246 (not (and @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p329 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p330 :rule trans :premises (@p329 @p328)) % 0.44/0.66 (step @p331 :rule nary_cong :premises (@p276 @p330) :args ((or @t250 (not (and @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p332 :rule bool-and-de-morgan :args (@t64 @t61 (and @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p333 :rule trans :premises (@p332 @p331)) % 0.44/0.66 (step @p334 :rule nary_cong :premises (@p277 @p333) :args ((or @t251 (not (and @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p335 :rule bool-and-de-morgan :args (@t66 @t64 (and @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p336 :rule trans :premises (@p335 @p334)) % 0.44/0.66 (step @p337 :rule nary_cong :premises (@p278 @p336) :args ((or @t255 (not (and @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p338 :rule bool-and-de-morgan :args (@t68 @t66 (and @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p339 :rule trans :premises (@p338 @p337)) % 0.44/0.66 (step @p340 :rule nary_cong :premises (@p279 @p339) :args ((or @t252 (not (and @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p341 :rule bool-and-de-morgan :args (@t69 @t68 (and @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p342 :rule trans :premises (@p341 @p340)) % 0.44/0.66 (step @p343 :rule nary_cong :premises (@p280 @p342) :args ((or @t253 (not (and @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p344 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p345 :rule trans :premises (@p344 @p343)) % 0.44/0.66 (step @p346 :rule nary_cong :premises (@p281 @p345) :args ((or @t254 (not (and @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p347 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p348 :rule trans :premises (@p347 @p346)) % 0.44/0.66 (step @p349 :rule nary_cong :premises (@p282 @p348) :args ((or @t256 (not (and @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p350 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p351 :rule trans :premises (@p350 @p349)) % 0.44/0.66 (step @p352 :rule nary_cong :premises (@p283 @p351) :args ((or @t257 (not (and @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p353 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p354 :rule trans :premises (@p353 @p352)) % 0.44/0.66 (step @p355 :rule nary_cong :premises (@p284 @p354) :args ((or @t258 (not (and @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p356 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p357 :rule trans :premises (@p356 @p355)) % 0.44/0.66 (step @p358 :rule nary_cong :premises (@p285 @p357) :args ((or @t259 (not (and @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p359 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p360 :rule trans :premises (@p359 @p358)) % 0.44/0.66 (step @p361 :rule nary_cong :premises (@p286 @p360) :args ((or @t260 (not (and @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p362 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p363 :rule trans :premises (@p362 @p361)) % 0.44/0.66 (step @p364 :rule nary_cong :premises (@p287 @p363) :args ((or @t261 (not (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p365 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p366 :rule trans :premises (@p365 @p364)) % 0.44/0.66 (step @p367 :rule nary_cong :premises (@p288 @p366) :args ((or @t262 (not (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p368 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p369 :rule trans :premises (@p368 @p367)) % 0.44/0.66 (step @p370 :rule nary_cong :premises (@p289 @p369) :args ((or @t263 (not (and @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))))) % 0.44/0.66 (step @p371 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t69 @t68 @t66 @t64 @t61 @t60 @t59 @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t48 @t46 @t44))) % 0.44/0.66 (step @p372 :rule trans :premises (@p371 @p370)) % 0.44/0.66 (step @p373 :rule trans :premises (@p372 @p292)) % 0.44/0.66 (step @p374 :rule cong :premises (@p373) :args (@t351)) % 0.44/0.66 (step @p375 :rule trans :premises (@p374 @p261)) % 0.44/0.66 (step @p376 :rule cong :premises (@p375) :args (@t352)) % 0.44/0.66 (step @p377 :rule exists-elim :args ((= @t82 @t352))) % 0.44/0.66 (step @p378 :rule trans :premises (@p377 @p376)) % 0.44/0.66 (step @p379 :rule cong :premises (@p378 @p202) :args (@t83)) % 0.44/0.66 (step @p380 :rule aci_norm :args ((= (or @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t354 false @t353) @t365))) % 0.44/0.66 (step @p381 :rule refl :args (@t353)) % 0.44/0.66 (step @p382 :rule eq-refl :args (@t85)) % 0.44/0.66 (step @p383 :rule cong :premises (@p382) :args (@t366)) % 0.44/0.66 (step @p384 :rule trans :premises (@p383 @p28)) % 0.44/0.66 (step @p385 :rule refl :args (@t354)) % 0.44/0.66 (step @p386 :rule refl :args (@t355)) % 0.44/0.66 (step @p387 :rule refl :args (@t356)) % 0.44/0.66 (step @p388 :rule refl :args (@t357)) % 0.44/0.66 (step @p389 :rule refl :args (@t358)) % 0.44/0.66 (step @p390 :rule refl :args (@t359)) % 0.44/0.66 (step @p391 :rule refl :args (@t360)) % 0.44/0.66 (step @p392 :rule eq-symm :args (@t85 @t89)) % 0.44/0.66 (step @p393 :rule refl :args (@t362)) % 0.44/0.66 (step @p394 :rule refl :args (@t363)) % 0.44/0.66 (step @p395 :rule refl :args (@t364)) % 0.44/0.66 (step @p396 :rule nary_cong :premises (@p395 @p394 @p393 @p392 @p391 @p390 @p389 @p388 @p387 @p386 @p385 @p384 @p381) :args (@t367)) % 0.44/0.66 (step @p397 :rule trans :premises (@p396 @p380)) % 0.44/0.66 (step @p398 :rule cong :premises (@p397) :args ((forall @t368 @t367))) % 0.44/0.66 (step @p399 :rule quant-var-elim-eq :args ((= (forall @t375 @t374) @t367))) % 0.44/0.66 (step @p400 :rule aci_norm :args ((= @t376 @t374))) % 0.44/0.66 (step @p401 :rule cong :premises (@p400) :args (@t377)) % 0.44/0.66 (step @p402 :rule trans :premises (@p401 @p399)) % 0.44/0.66 (step @p403 :rule cong :premises (@p402) :args (@t378)) % 0.44/0.66 (step @p404 :rule quant-merge-prenex :args ((= @t378 @t379))) % 0.44/0.66 (step @p405 :rule symm :premises (@p404)) % 0.44/0.66 (step @p406 :rule quant_var_reordering :args ((= (forall @t380 @t376) @t379))) % 0.44/0.66 (step @p407 :rule trans :premises (@p406 @p405 @p403)) % 0.44/0.66 (step @p408 :rule trans :premises (@p407 @p398)) % 0.44/0.66 (step @p409 :rule aci_norm :args ((= (or @t364 @t363 @t362 @t373 @t360 @t359 @t358 @t372 @t371 @t370 false @t354 @t369 @t353) @t376))) % 0.44/0.66 (step @p410 :rule refl :args (@t369)) % 0.44/0.66 (step @p411 :rule eq-refl :args (@t89)) % 0.44/0.66 (step @p412 :rule cong :premises (@p411) :args (@t381)) % 0.44/0.66 (step @p413 :rule trans :premises (@p412 @p28)) % 0.44/0.66 (step @p414 :rule refl :args (@t370)) % 0.44/0.66 (step @p415 :rule refl :args (@t371)) % 0.44/0.66 (step @p416 :rule refl :args (@t372)) % 0.44/0.66 (step @p417 :rule eq-symm :args (@t89 @t87)) % 0.44/0.66 (step @p418 :rule nary_cong :premises (@p395 @p394 @p393 @p417 @p391 @p390 @p389 @p416 @p415 @p414 @p413 @p385 @p410 @p381) :args (@t382)) % 0.44/0.66 (step @p419 :rule trans :premises (@p418 @p409)) % 0.44/0.66 (step @p420 :rule cong :premises (@p419) :args ((forall @t380 @t382))) % 0.44/0.66 (step @p421 :rule trans :premises (@p420 @p408)) % 0.44/0.66 (step @p422 :rule quant-var-elim-eq :args ((= (forall @t388 @t387) @t382))) % 0.44/0.66 (step @p423 :rule aci_norm :args ((= @t389 @t387))) % 0.44/0.66 (step @p424 :rule cong :premises (@p423) :args (@t390)) % 0.44/0.66 (step @p425 :rule trans :premises (@p424 @p422)) % 0.44/0.66 (step @p426 :rule cong :premises (@p425) :args (@t391)) % 0.44/0.66 (step @p427 :rule quant-merge-prenex :args ((= @t391 @t392))) % 0.44/0.66 (step @p428 :rule symm :premises (@p427)) % 0.44/0.66 (step @p429 :rule quant_var_reordering :args ((= @t393 @t392))) % 0.44/0.66 (step @p430 :rule trans :premises (@p429 @p428 @p426)) % 0.44/0.66 (step @p431 :rule trans :premises (@p430 @p421)) % 0.44/0.66 (step @p432 :rule refl :args (@t184)) % 0.44/0.66 (step @p433 :rule nary_cong :premises (@p432 @p431) :args (@t394)) % 0.44/0.66 (step @p434 :rule quant-miniscope-or :args ((= (forall @t123 @t395) @t394))) % 0.44/0.66 (step @p435 :rule aci_norm :args ((= @t396 @t395))) % 0.44/0.66 (step @p436 :rule cong :premises (@p435) :args ((forall @t123 @t396))) % 0.44/0.66 (step @p437 :rule trans :premises (@p436 @p434)) % 0.44/0.66 (step @p438 :rule trans :premises (@p437 @p433)) % 0.44/0.66 (step @p439 :rule refl :args (@t353)) % 0.44/0.66 (step @p440 :rule refl :args (@t369)) % 0.44/0.66 (step @p441 :rule refl :args (@t354)) % 0.44/0.66 (step @p442 :rule refl :args (@t383)) % 0.44/0.66 (step @p443 :rule refl :args (@t370)) % 0.44/0.66 (step @p444 :rule refl :args (@t371)) % 0.44/0.66 (step @p445 :rule refl :args (@t372)) % 0.44/0.66 (step @p446 :rule refl :args (@t384)) % 0.44/0.66 (step @p447 :rule refl :args (@t385)) % 0.44/0.66 (step @p448 :rule refl :args (@t386)) % 0.44/0.66 (step @p449 :rule bool-double-not-elim :args (@t99)) % 0.44/0.66 (step @p450 :rule refl :args (@t362)) % 0.44/0.66 (step @p451 :rule refl :args (@t363)) % 0.44/0.66 (step @p452 :rule refl :args (@t364)) % 0.44/0.66 (step @p453 :rule refl :args (@t169)) % 0.44/0.66 (step @p454 :rule refl :args (@t170)) % 0.44/0.66 (step @p455 :rule refl :args (@t174)) % 0.44/0.66 (step @p456 :rule refl :args (@t171)) % 0.44/0.66 (step @p457 :rule refl :args (@t172)) % 0.44/0.66 (step @p458 :rule refl :args (@t173)) % 0.44/0.66 (step @p459 :rule refl :args (@t175)) % 0.44/0.66 (step @p460 :rule refl :args (@t176)) % 0.44/0.66 (step @p461 :rule refl :args (@t177)) % 0.44/0.66 (step @p462 :rule refl :args (@t178)) % 0.44/0.66 (step @p463 :rule refl :args (@t179)) % 0.44/0.66 (step @p464 :rule refl :args (@t180)) % 0.44/0.66 (step @p465 :rule refl :args (@t181)) % 0.44/0.66 (step @p466 :rule refl :args (@t182)) % 0.44/0.66 (step @p467 :rule nary_cong :premises (@p466 @p465 @p464 @p463 @p462 @p461 @p460 @p459 @p458 @p457 @p456 @p455 @p454 @p453 @p452 @p451 @p450 @p449 @p448 @p447 @p446 @p445 @p444 @p443 @p442 @p441 @p440 @p439) :args (@t398)) % 0.44/0.66 (step @p468 :rule aci_norm :args ((= (or @t182 (or @t181 (or @t180 (or @t179 (or @t178 (or @t177 (or @t176 (or @t175 (or @t173 (or @t172 (or @t171 (or @t174 (or @t170 (or @t169 (or @t364 (or @t363 (or @t362 (or @t397 (or @t386 (or @t385 (or @t384 (or @t372 (or @t371 (or @t370 (or @t383 (or @t354 (or @t369 @t353))))))))))))))))))))))))))) @t398))) % 0.44/0.66 (step @p469 :rule trans :premises (@p468 @p467)) % 0.44/0.66 (step @p470 :rule bool-and-de-morgan :args (@t88 @t86 true)) % 0.44/0.66 (step @p471 :rule nary_cong :premises (@p441 @p470) :args ((or @t354 (not (and @t88 @t86))))) % 0.44/0.66 (step @p472 :rule bool-and-de-morgan :args (@t90 @t88 (and @t86))) % 0.44/0.66 (step @p473 :rule trans :premises (@p472 @p471)) % 0.44/0.66 (step @p474 :rule nary_cong :premises (@p442 @p473) :args ((or @t383 (not (and @t90 @t88 @t86))))) % 0.44/0.66 (step @p475 :rule bool-and-de-morgan :args (@t92 @t90 (and @t88 @t86))) % 0.44/0.66 (step @p476 :rule trans :premises (@p475 @p474)) % 0.44/0.66 (step @p477 :rule nary_cong :premises (@p443 @p476) :args ((or @t370 (not (and @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p478 :rule bool-and-de-morgan :args (@t93 @t92 (and @t90 @t88 @t86))) % 0.44/0.66 (step @p479 :rule trans :premises (@p478 @p477)) % 0.44/0.66 (step @p480 :rule nary_cong :premises (@p444 @p479) :args ((or @t371 (not (and @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p481 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p482 :rule trans :premises (@p481 @p480)) % 0.44/0.66 (step @p483 :rule nary_cong :premises (@p445 @p482) :args ((or @t372 (not (and @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p484 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p485 :rule trans :premises (@p484 @p483)) % 0.44/0.66 (step @p486 :rule nary_cong :premises (@p446 @p485) :args ((or @t384 (not (and @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p487 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p488 :rule trans :premises (@p487 @p486)) % 0.44/0.66 (step @p489 :rule nary_cong :premises (@p447 @p488) :args ((or @t385 (not (and @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p490 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p491 :rule trans :premises (@p490 @p489)) % 0.44/0.66 (step @p492 :rule nary_cong :premises (@p448 @p491) :args ((or @t386 (not (and @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p493 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p494 :rule trans :premises (@p493 @p492)) % 0.44/0.66 (step @p495 :rule refl :args (@t397)) % 0.44/0.66 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t397 (not (and @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p497 :rule bool-and-de-morgan :args (@t100 @t98 (and @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p498 :rule trans :premises (@p497 @p496)) % 0.44/0.66 (step @p499 :rule nary_cong :premises (@p450 @p498) :args ((or @t362 (not (and @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p500 :rule bool-and-de-morgan :args (@t101 @t100 (and @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p501 :rule trans :premises (@p500 @p499)) % 0.44/0.66 (step @p502 :rule nary_cong :premises (@p451 @p501) :args ((or @t363 (not (and @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p503 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p504 :rule trans :premises (@p503 @p502)) % 0.44/0.66 (step @p505 :rule nary_cong :premises (@p452 @p504) :args ((or @t364 (not (and @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p506 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p507 :rule trans :premises (@p506 @p505)) % 0.44/0.66 (step @p508 :rule nary_cong :premises (@p453 @p507) :args ((or @t169 (not (and @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p509 :rule bool-and-de-morgan :args (@t106 @t103 (and @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p510 :rule trans :premises (@p509 @p508)) % 0.44/0.66 (step @p511 :rule nary_cong :premises (@p454 @p510) :args ((or @t170 (not (and @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p512 :rule bool-and-de-morgan :args (@t108 @t106 (and @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p513 :rule trans :premises (@p512 @p511)) % 0.44/0.66 (step @p514 :rule nary_cong :premises (@p455 @p513) :args ((or @t174 (not (and @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p515 :rule bool-and-de-morgan :args (@t110 @t108 (and @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p516 :rule trans :premises (@p515 @p514)) % 0.44/0.66 (step @p517 :rule nary_cong :premises (@p456 @p516) :args ((or @t171 (not (and @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p518 :rule bool-and-de-morgan :args (@t111 @t110 (and @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p519 :rule trans :premises (@p518 @p517)) % 0.44/0.66 (step @p520 :rule nary_cong :premises (@p457 @p519) :args ((or @t172 (not (and @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p521 :rule bool-and-de-morgan :args (@t112 @t111 (and @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p522 :rule trans :premises (@p521 @p520)) % 0.44/0.66 (step @p523 :rule nary_cong :premises (@p458 @p522) :args ((or @t173 (not (and @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p524 :rule bool-and-de-morgan :args (@t113 @t112 (and @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p525 :rule trans :premises (@p524 @p523)) % 0.44/0.66 (step @p526 :rule nary_cong :premises (@p459 @p525) :args ((or @t175 (not (and @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p527 :rule bool-and-de-morgan :args (@t114 @t113 (and @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p528 :rule trans :premises (@p527 @p526)) % 0.44/0.66 (step @p529 :rule nary_cong :premises (@p460 @p528) :args ((or @t176 (not (and @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p530 :rule bool-and-de-morgan :args (@t115 @t114 (and @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p531 :rule trans :premises (@p530 @p529)) % 0.44/0.66 (step @p532 :rule nary_cong :premises (@p461 @p531) :args ((or @t177 (not (and @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p533 :rule bool-and-de-morgan :args (@t116 @t115 (and @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p534 :rule trans :premises (@p533 @p532)) % 0.44/0.66 (step @p535 :rule nary_cong :premises (@p462 @p534) :args ((or @t178 (not (and @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p536 :rule bool-and-de-morgan :args (@t117 @t116 (and @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p537 :rule trans :premises (@p536 @p535)) % 0.44/0.66 (step @p538 :rule nary_cong :premises (@p463 @p537) :args ((or @t179 (not (and @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p539 :rule bool-and-de-morgan :args (@t118 @t117 (and @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p540 :rule trans :premises (@p539 @p538)) % 0.44/0.66 (step @p541 :rule nary_cong :premises (@p464 @p540) :args ((or @t180 (not (and @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p542 :rule bool-and-de-morgan :args (@t119 @t118 (and @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p543 :rule trans :premises (@p542 @p541)) % 0.44/0.66 (step @p544 :rule nary_cong :premises (@p465 @p543) :args ((or @t181 (not (and @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p545 :rule bool-and-de-morgan :args (@t120 @t119 (and @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p546 :rule trans :premises (@p545 @p544)) % 0.44/0.66 (step @p547 :rule nary_cong :premises (@p466 @p546) :args ((or @t182 (not (and @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))))) % 0.44/0.66 (step @p548 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110 @t108 @t106 @t103 @t102 @t101 @t100 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t90 @t88 @t86))) % 0.44/0.66 (step @p549 :rule trans :premises (@p548 @p547)) % 0.44/0.66 (step @p550 :rule trans :premises (@p549 @p469)) % 0.44/0.66 (step @p551 :rule cong :premises (@p550) :args (@t399)) % 0.44/0.66 (step @p552 :rule trans :premises (@p551 @p438)) % 0.44/0.66 (step @p553 :rule cong :premises (@p552) :args (@t400)) % 0.44/0.66 (step @p554 :rule exists-elim :args ((= @t124 @t400))) % 0.44/0.66 (step @p555 :rule trans :premises (@p554 @p553)) % 0.44/0.66 (step @p556 :rule aci_norm :args ((= (or @t280 @t279 @t278 @t277 @t276 @t275 @t274 @t273 @t272 @t271 @t270 false @t269) @t281))) % 0.44/0.66 (step @p557 :rule refl :args (@t269)) % 0.44/0.66 (step @p558 :rule eq-refl :args (@t126)) % 0.44/0.66 (step @p559 :rule cong :premises (@p558) :args (@t401)) % 0.44/0.66 (step @p560 :rule trans :premises (@p559 @p28)) % 0.44/0.66 (step @p561 :rule refl :args (@t270)) % 0.44/0.66 (step @p562 :rule refl :args (@t271)) % 0.44/0.66 (step @p563 :rule refl :args (@t272)) % 0.44/0.66 (step @p564 :rule refl :args (@t273)) % 0.44/0.66 (step @p565 :rule refl :args (@t274)) % 0.44/0.66 (step @p566 :rule refl :args (@t275)) % 0.44/0.66 (step @p567 :rule refl :args (@t276)) % 0.44/0.66 (step @p568 :rule eq-symm :args (@t126 @t130)) % 0.44/0.66 (step @p569 :rule refl :args (@t278)) % 0.44/0.66 (step @p570 :rule refl :args (@t279)) % 0.44/0.66 (step @p571 :rule refl :args (@t280)) % 0.44/0.66 (step @p572 :rule nary_cong :premises (@p571 @p570 @p569 @p568 @p567 @p566 @p565 @p564 @p563 @p562 @p561 @p560 @p557) :args (@t402)) % 0.44/0.66 (step @p573 :rule trans :premises (@p572 @p556)) % 0.44/0.66 (step @p574 :rule cong :premises (@p573) :args ((forall @t282 @t402))) % 0.44/0.66 (step @p575 :rule quant-var-elim-eq :args ((= (forall @t409 @t408) @t402))) % 0.44/0.66 (step @p576 :rule aci_norm :args ((= @t410 @t408))) % 0.44/0.66 (step @p577 :rule cong :premises (@p576) :args (@t411)) % 0.44/0.66 (step @p578 :rule trans :premises (@p577 @p575)) % 0.44/0.66 (step @p579 :rule cong :premises (@p578) :args (@t412)) % 0.44/0.66 (step @p580 :rule quant-merge-prenex :args ((= @t412 @t413))) % 0.44/0.66 (step @p581 :rule symm :premises (@p580)) % 0.44/0.66 (step @p582 :rule quant_var_reordering :args ((= (forall @t414 @t410) @t413))) % 0.44/0.66 (step @p583 :rule trans :premises (@p582 @p581 @p579)) % 0.44/0.66 (step @p584 :rule trans :premises (@p583 @p574)) % 0.44/0.66 (step @p585 :rule aci_norm :args ((= (or @t280 @t279 @t278 @t407 @t276 @t275 @t274 @t406 @t405 @t404 false @t270 @t403 @t269) @t410))) % 0.44/0.66 (step @p586 :rule refl :args (@t403)) % 0.44/0.66 (step @p587 :rule eq-refl :args (@t130)) % 0.44/0.66 (step @p588 :rule cong :premises (@p587) :args (@t415)) % 0.44/0.66 (step @p589 :rule trans :premises (@p588 @p28)) % 0.44/0.66 (step @p590 :rule refl :args (@t404)) % 0.44/0.66 (step @p591 :rule refl :args (@t405)) % 0.44/0.66 (step @p592 :rule refl :args (@t406)) % 0.44/0.66 (step @p593 :rule eq-symm :args (@t130 @t128)) % 0.44/0.66 (step @p594 :rule nary_cong :premises (@p571 @p570 @p569 @p593 @p567 @p566 @p565 @p592 @p591 @p590 @p589 @p561 @p586 @p557) :args (@t416)) % 0.44/0.66 (step @p595 :rule trans :premises (@p594 @p585)) % 0.44/0.66 (step @p596 :rule cong :premises (@p595) :args ((forall @t414 @t416))) % 0.44/0.66 (step @p597 :rule trans :premises (@p596 @p584)) % 0.44/0.66 (step @p598 :rule quant-var-elim-eq :args ((= (forall @t422 @t421) @t416))) % 0.44/0.66 (step @p599 :rule aci_norm :args ((= @t423 @t421))) % 0.44/0.66 (step @p600 :rule cong :premises (@p599) :args (@t424)) % 0.44/0.66 (step @p601 :rule trans :premises (@p600 @p598)) % 0.44/0.66 (step @p602 :rule cong :premises (@p601) :args (@t425)) % 0.44/0.66 (step @p603 :rule quant-merge-prenex :args ((= @t425 @t426))) % 0.44/0.66 (step @p604 :rule symm :premises (@p603)) % 0.44/0.66 (step @p605 :rule quant_var_reordering :args ((= @t427 @t426))) % 0.44/0.66 (step @p606 :rule trans :premises (@p605 @p604 @p602)) % 0.44/0.66 (step @p607 :rule trans :premises (@p606 @p597)) % 0.44/0.66 (step @p608 :rule refl :args (@t200)) % 0.44/0.66 (step @p609 :rule nary_cong :premises (@p608 @p607) :args (@t428)) % 0.44/0.66 (step @p610 :rule quant-miniscope-or :args ((= (forall @t164 @t429) @t428))) % 0.44/0.66 (step @p611 :rule aci_norm :args ((= @t430 @t429))) % 0.44/0.66 (step @p612 :rule cong :premises (@p611) :args ((forall @t164 @t430))) % 0.44/0.66 (step @p613 :rule trans :premises (@p612 @p610)) % 0.44/0.66 (step @p614 :rule trans :premises (@p613 @p609)) % 0.44/0.66 (step @p615 :rule refl :args (@t269)) % 0.44/0.66 (step @p616 :rule refl :args (@t403)) % 0.44/0.66 (step @p617 :rule refl :args (@t270)) % 0.44/0.66 (step @p618 :rule refl :args (@t417)) % 0.44/0.66 (step @p619 :rule refl :args (@t404)) % 0.44/0.66 (step @p620 :rule refl :args (@t405)) % 0.44/0.66 (step @p621 :rule refl :args (@t406)) % 0.44/0.66 (step @p622 :rule refl :args (@t418)) % 0.44/0.66 (step @p623 :rule refl :args (@t419)) % 0.44/0.66 (step @p624 :rule refl :args (@t420)) % 0.44/0.66 (step @p625 :rule bool-double-not-elim :args (@t140)) % 0.44/0.66 (step @p626 :rule refl :args (@t278)) % 0.44/0.66 (step @p627 :rule refl :args (@t279)) % 0.44/0.66 (step @p628 :rule refl :args (@t280)) % 0.44/0.66 (step @p629 :rule refl :args (@t185)) % 0.44/0.66 (step @p630 :rule refl :args (@t186)) % 0.44/0.66 (step @p631 :rule refl :args (@t190)) % 0.44/0.66 (step @p632 :rule refl :args (@t191)) % 0.44/0.66 (step @p633 :rule refl :args (@t192)) % 0.44/0.66 (step @p634 :rule refl :args (@t193)) % 0.44/0.66 (step @p635 :rule refl :args (@t194)) % 0.44/0.66 (step @p636 :rule refl :args (@t195)) % 0.44/0.66 (step @p637 :rule refl :args (@t187)) % 0.44/0.66 (step @p638 :rule refl :args (@t188)) % 0.44/0.66 (step @p639 :rule refl :args (@t189)) % 0.44/0.66 (step @p640 :rule refl :args (@t196)) % 0.44/0.66 (step @p641 :rule refl :args (@t197)) % 0.44/0.66 (step @p642 :rule refl :args (@t198)) % 0.44/0.66 (step @p643 :rule nary_cong :premises (@p642 @p641 @p640 @p639 @p638 @p637 @p636 @p635 @p634 @p633 @p632 @p631 @p630 @p629 @p628 @p627 @p626 @p625 @p624 @p623 @p622 @p621 @p620 @p619 @p618 @p617 @p616 @p615) :args (@t432)) % 0.44/0.66 (step @p644 :rule aci_norm :args ((= (or @t198 (or @t197 (or @t196 (or @t189 (or @t188 (or @t187 (or @t195 (or @t194 (or @t193 (or @t192 (or @t191 (or @t190 (or @t186 (or @t185 (or @t280 (or @t279 (or @t278 (or @t431 (or @t420 (or @t419 (or @t418 (or @t406 (or @t405 (or @t404 (or @t417 (or @t270 (or @t403 @t269))))))))))))))))))))))))))) @t432))) % 0.44/0.66 (step @p645 :rule trans :premises (@p644 @p643)) % 0.44/0.66 (step @p646 :rule bool-and-de-morgan :args (@t129 @t127 true)) % 0.44/0.66 (step @p647 :rule nary_cong :premises (@p617 @p646) :args ((or @t270 (not (and @t129 @t127))))) % 0.44/0.66 (step @p648 :rule bool-and-de-morgan :args (@t131 @t129 (and @t127))) % 0.44/0.66 (step @p649 :rule trans :premises (@p648 @p647)) % 0.44/0.66 (step @p650 :rule nary_cong :premises (@p618 @p649) :args ((or @t417 (not (and @t131 @t129 @t127))))) % 0.44/0.66 (step @p651 :rule bool-and-de-morgan :args (@t133 @t131 (and @t129 @t127))) % 0.44/0.66 (step @p652 :rule trans :premises (@p651 @p650)) % 0.44/0.66 (step @p653 :rule nary_cong :premises (@p619 @p652) :args ((or @t404 (not (and @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p654 :rule bool-and-de-morgan :args (@t134 @t133 (and @t131 @t129 @t127))) % 0.44/0.66 (step @p655 :rule trans :premises (@p654 @p653)) % 0.44/0.66 (step @p656 :rule nary_cong :premises (@p620 @p655) :args ((or @t405 (not (and @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p657 :rule bool-and-de-morgan :args (@t135 @t134 (and @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p658 :rule trans :premises (@p657 @p656)) % 0.44/0.66 (step @p659 :rule nary_cong :premises (@p621 @p658) :args ((or @t406 (not (and @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p660 :rule bool-and-de-morgan :args (@t136 @t135 (and @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p661 :rule trans :premises (@p660 @p659)) % 0.44/0.66 (step @p662 :rule nary_cong :premises (@p622 @p661) :args ((or @t418 (not (and @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p663 :rule bool-and-de-morgan :args (@t137 @t136 (and @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p664 :rule trans :premises (@p663 @p662)) % 0.44/0.66 (step @p665 :rule nary_cong :premises (@p623 @p664) :args ((or @t419 (not (and @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p666 :rule bool-and-de-morgan :args (@t138 @t137 (and @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p667 :rule trans :premises (@p666 @p665)) % 0.44/0.66 (step @p668 :rule nary_cong :premises (@p624 @p667) :args ((or @t420 (not (and @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p669 :rule bool-and-de-morgan :args (@t139 @t138 (and @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p670 :rule trans :premises (@p669 @p668)) % 0.44/0.66 (step @p671 :rule refl :args (@t431)) % 0.44/0.66 (step @p672 :rule nary_cong :premises (@p671 @p670) :args ((or @t431 (not (and @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p673 :rule bool-and-de-morgan :args (@t141 @t139 (and @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p674 :rule trans :premises (@p673 @p672)) % 0.44/0.66 (step @p675 :rule nary_cong :premises (@p626 @p674) :args ((or @t278 (not (and @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p676 :rule bool-and-de-morgan :args (@t142 @t141 (and @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p677 :rule trans :premises (@p676 @p675)) % 0.44/0.66 (step @p678 :rule nary_cong :premises (@p627 @p677) :args ((or @t279 (not (and @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p679 :rule bool-and-de-morgan :args (@t143 @t142 (and @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p680 :rule trans :premises (@p679 @p678)) % 0.44/0.66 (step @p681 :rule nary_cong :premises (@p628 @p680) :args ((or @t280 (not (and @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p682 :rule bool-and-de-morgan :args (@t144 @t143 (and @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p683 :rule trans :premises (@p682 @p681)) % 0.44/0.66 (step @p684 :rule nary_cong :premises (@p629 @p683) :args ((or @t185 (not (and @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p685 :rule bool-and-de-morgan :args (@t147 @t144 (and @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p686 :rule trans :premises (@p685 @p684)) % 0.44/0.66 (step @p687 :rule nary_cong :premises (@p630 @p686) :args ((or @t186 (not (and @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p688 :rule bool-and-de-morgan :args (@t149 @t147 (and @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p689 :rule trans :premises (@p688 @p687)) % 0.44/0.66 (step @p690 :rule nary_cong :premises (@p631 @p689) :args ((or @t190 (not (and @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p691 :rule bool-and-de-morgan :args (@t151 @t149 (and @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p692 :rule trans :premises (@p691 @p690)) % 0.44/0.66 (step @p693 :rule nary_cong :premises (@p632 @p692) :args ((or @t191 (not (and @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p694 :rule bool-and-de-morgan :args (@t152 @t151 (and @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p695 :rule trans :premises (@p694 @p693)) % 0.44/0.66 (step @p696 :rule nary_cong :premises (@p633 @p695) :args ((or @t192 (not (and @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p697 :rule bool-and-de-morgan :args (@t153 @t152 (and @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p698 :rule trans :premises (@p697 @p696)) % 0.44/0.66 (step @p699 :rule nary_cong :premises (@p634 @p698) :args ((or @t193 (not (and @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p700 :rule bool-and-de-morgan :args (@t154 @t153 (and @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p701 :rule trans :premises (@p700 @p699)) % 0.44/0.66 (step @p702 :rule nary_cong :premises (@p635 @p701) :args ((or @t194 (not (and @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p703 :rule bool-and-de-morgan :args (@t155 @t154 (and @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p704 :rule trans :premises (@p703 @p702)) % 0.44/0.66 (step @p705 :rule nary_cong :premises (@p636 @p704) :args ((or @t195 (not (and @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p706 :rule bool-and-de-morgan :args (@t156 @t155 (and @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p707 :rule trans :premises (@p706 @p705)) % 0.44/0.66 (step @p708 :rule nary_cong :premises (@p637 @p707) :args ((or @t187 (not (and @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p709 :rule bool-and-de-morgan :args (@t157 @t156 (and @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p710 :rule trans :premises (@p709 @p708)) % 0.44/0.66 (step @p711 :rule nary_cong :premises (@p638 @p710) :args ((or @t188 (not (and @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p712 :rule bool-and-de-morgan :args (@t158 @t157 (and @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p713 :rule trans :premises (@p712 @p711)) % 0.44/0.66 (step @p714 :rule nary_cong :premises (@p639 @p713) :args ((or @t189 (not (and @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p715 :rule bool-and-de-morgan :args (@t159 @t158 (and @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p716 :rule trans :premises (@p715 @p714)) % 0.44/0.66 (step @p717 :rule nary_cong :premises (@p640 @p716) :args ((or @t196 (not (and @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p718 :rule bool-and-de-morgan :args (@t160 @t159 (and @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p719 :rule trans :premises (@p718 @p717)) % 0.44/0.66 (step @p720 :rule nary_cong :premises (@p641 @p719) :args ((or @t197 (not (and @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p721 :rule bool-and-de-morgan :args (@t161 @t160 (and @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p722 :rule trans :premises (@p721 @p720)) % 0.44/0.66 (step @p723 :rule nary_cong :premises (@p642 @p722) :args ((or @t198 (not (and @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))))) % 0.44/0.66 (step @p724 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t147 @t144 @t143 @t142 @t141 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t131 @t129 @t127))) % 0.44/0.66 (step @p725 :rule trans :premises (@p724 @p723)) % 0.44/0.66 (step @p726 :rule trans :premises (@p725 @p645)) % 0.44/0.66 (step @p727 :rule cong :premises (@p726) :args (@t433)) % 0.44/0.66 (step @p728 :rule trans :premises (@p727 @p614)) % 0.44/0.66 (step @p729 :rule cong :premises (@p728) :args (@t434)) % 0.44/0.66 (step @p730 :rule exists-elim :args ((= @t165 @t434))) % 0.44/0.66 (step @p731 :rule trans :premises (@p730 @p729)) % 0.44/0.66 (step @p732 :rule cong :premises (@p731 @p555) :args (@t166)) % 0.44/0.66 (step @p733 :rule nary_cong :premises (@p732 @p379) :args (@t167)) % 0.44/0.66 (step @p734 :rule cong :premises (@p733) :args (@t168)) % 0.44/0.66 (step @p735 :rule eq_resolve :premises (@p1 @p734)) % 0.44/0.66 (step @p736 :rule not_and :premises (@p735)) % 0.44/0.66 (step @p737 :rule cnf_implies_neg1 :args (@t440)) % 0.44/0.66 (step @p738 :rule reordering :premises (@p737) :args ((or @t439 @t440))) % 0.44/0.66 (step @p739 :rule bool-double-not-elim :args (@t436)) % 0.44/0.66 (step @p740 :rule refl :args (@t440)) % 0.44/0.66 (step @p741 :rule nary_cong :premises (@p740 @p739) :args ((or @t440 (not @t437)))) % 0.44/0.66 (step @p742 :rule cnf_implies_neg2 :args (@t440)) % 0.44/0.66 (step @p743 :rule eq_resolve :premises (@p742 @p741)) % 0.44/0.66 (step @p744 :rule reordering :premises (@p743) :args ((or @t436 @t440))) % 0.44/0.66 (step @p745 :rule cnf_or_neg :args (@t438 1)) % 0.44/0.66 (step @p746 :rule cnf_or_pos :args (@t436)) % 0.44/0.66 (step @p747 :rule reordering :premises (@p746) :args ((or @t184 @t435 @t437))) % 0.44/0.66 (step @p748 :rule alpha_equiv :args (@t283 @t284 (@list @t89 @t85 @t84))) % 0.44/0.66 (step @p749 :rule equiv_elim2 :premises (@p748)) % 0.44/0.66 (step @p750 :rule chain_m_resolution :premises (@p749 @p747 @p745 @p744 @p738 @p736 @p25 @p8 @p6) :args (@t200 (@list false true false true true false true true) (@list @t435 @t283 @t436 @t438 @t440 @t268 @t232 @t184))) % 0.44/0.66 (step @p751 :rule quant_var_reordering :args ((= (forall (@list @t62 @t63 @t65 @t67) @t264) @t265))) % 0.44/0.66 (step @p752 :rule alpha_equiv :args (@t200 @t201 (@list @t62 @t63 @t67 @t65))) % 0.44/0.66 (step @p753 :rule trans :premises (@p752 @p751)) % 0.44/0.66 (step @p754 :rule equiv_elim1 :premises (@p753)) % 0.44/0.66 (step @p755 :rule reordering :premises (@p754) :args ((or @t265 (not @t200)))) % 0.44/0.66 (step @p756 :rule chain_m_resolution :premises (@p755 @p750) :args (@t265 @t441 @t442)) % 0.44/0.66 (step @p757 :rule cnf_or_neg :args (@t266 0)) % 0.44/0.66 (step @p758 :rule chain_m_resolution :premises (@p757 @p756) :args (@t266 @t441 (@list @t265))) % 0.44/0.66 (step @p759 :rule cnf_or_neg :args (@t438 0)) % 0.44/0.66 (step @p760 :rule chain_m_resolution :premises (@p759 @p750) :args (@t438 @t441 @t442)) % 0.44/0.66 (step @p761 :rule chain_m_resolution :premises (@p738 @p760) :args (@t440 @t441 (@list @t438))) % 0.44/0.66 (step @p762 :rule chain_m_resolution :premises (@p736 @p761) :args ((not @t268) @t441 (@list @t440))) % 0.44/0.66 (step @p763 false :rule chain_m_resolution :premises (@p10 @p762 @p758) :args (false (@list true false) (@list @t268 @t266))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------