%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP004+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:36:15 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 : NLP004+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 09:51:48 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----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 $$unsorted 0) % 0.44/0.66 (declare-const tptp.seat (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.furniture (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.front (-> $$unsorted Bool)) % 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.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.young (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.way (-> $$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.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 (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.car (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.chevy (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.lonely (-> $$unsorted Bool)) % 0.44/0.66 (define @t1 () (@var "X29" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "X38" $$unsorted)) % 0.44/0.66 (define @t3 () (tptp.in @t2 @t1)) % 0.44/0.66 (define @t4 () (@var "X35" $$unsorted)) % 0.44/0.66 (define @t5 () (= @t4 @t2)) % 0.44/0.66 (define @t6 () (@var "X28" $$unsorted)) % 0.44/0.66 (define @t7 () (@var "X37" $$unsorted)) % 0.44/0.66 (define @t8 () (tptp.in @t7 @t6)) % 0.44/0.66 (define @t9 () (@var "X34" $$unsorted)) % 0.44/0.66 (define @t10 () (= @t9 @t7)) % 0.44/0.66 (define @t11 () (tptp.young @t4)) % 0.44/0.66 (define @t12 () (tptp.man @t4)) % 0.44/0.66 (define @t13 () (tptp.fellow @t4)) % 0.44/0.66 (define @t14 () (tptp.young @t9)) % 0.44/0.66 (define @t15 () (tptp.man @t9)) % 0.44/0.66 (define @t16 () (tptp.fellow @t9)) % 0.44/0.66 (define @t17 () (= @t9 @t4)) % 0.44/0.66 (define @t18 () (not @t17)) % 0.44/0.66 (define @t19 () (@var "X30" $$unsorted)) % 0.44/0.66 (define @t20 () (@var "X31" $$unsorted)) % 0.44/0.66 (define @t21 () (tptp.in @t20 @t19)) % 0.44/0.66 (define @t22 () (@var "X32" $$unsorted)) % 0.44/0.66 (define @t23 () (tptp.down @t20 @t22)) % 0.44/0.66 (define @t24 () (@var "X33" $$unsorted)) % 0.44/0.66 (define @t25 () (tptp.barrel @t20 @t24)) % 0.44/0.66 (define @t26 () (tptp.old @t24)) % 0.44/0.66 (define @t27 () (tptp.dirty @t24)) % 0.44/0.66 (define @t28 () (tptp.white @t24)) % 0.44/0.66 (define @t29 () (tptp.car @t24)) % 0.44/0.66 (define @t30 () (tptp.chevy @t24)) % 0.44/0.66 (define @t31 () (tptp.lonely @t22)) % 0.44/0.66 (define @t32 () (tptp.way @t22)) % 0.44/0.66 (define @t33 () (tptp.street @t22)) % 0.44/0.66 (define @t34 () (tptp.event @t20)) % 0.44/0.66 (define @t35 () (tptp.city @t19)) % 0.44/0.66 (define @t36 () (tptp.hollywood @t19)) % 0.44/0.66 (define @t37 () (tptp.front @t1)) % 0.44/0.66 (define @t38 () (tptp.furniture @t1)) % 0.44/0.66 (define @t39 () (tptp.seat @t1)) % 0.44/0.66 (define @t40 () (tptp.front @t6)) % 0.44/0.66 (define @t41 () (tptp.furniture @t6)) % 0.44/0.66 (define @t42 () (tptp.seat @t6)) % 0.44/0.66 (define @t43 () (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3)) % 0.44/0.66 (define @t44 () (@list @t6 @t1 @t19 @t20 @t22 @t24 @t9 @t4 @t7 @t2)) % 0.44/0.66 (define @t45 () (exists @t44 @t43)) % 0.44/0.66 (define @t46 () (@var "X18" $$unsorted)) % 0.44/0.66 (define @t47 () (@var "X27" $$unsorted)) % 0.44/0.66 (define @t48 () (tptp.in @t47 @t46)) % 0.44/0.66 (define @t49 () (@var "X24" $$unsorted)) % 0.44/0.66 (define @t50 () (= @t49 @t47)) % 0.44/0.66 (define @t51 () (@var "X17" $$unsorted)) % 0.44/0.66 (define @t52 () (@var "X26" $$unsorted)) % 0.44/0.66 (define @t53 () (tptp.in @t52 @t51)) % 0.44/0.66 (define @t54 () (@var "X23" $$unsorted)) % 0.44/0.66 (define @t55 () (= @t54 @t52)) % 0.44/0.66 (define @t56 () (tptp.young @t49)) % 0.44/0.66 (define @t57 () (tptp.man @t49)) % 0.44/0.66 (define @t58 () (tptp.fellow @t49)) % 0.44/0.66 (define @t59 () (tptp.young @t54)) % 0.44/0.66 (define @t60 () (tptp.man @t54)) % 0.44/0.66 (define @t61 () (tptp.fellow @t54)) % 0.44/0.66 (define @t62 () (= @t54 @t49)) % 0.44/0.66 (define @t63 () (not @t62)) % 0.44/0.66 (define @t64 () (@var "X19" $$unsorted)) % 0.44/0.66 (define @t65 () (@var "X20" $$unsorted)) % 0.44/0.66 (define @t66 () (tptp.in @t65 @t64)) % 0.44/0.66 (define @t67 () (@var "X22" $$unsorted)) % 0.44/0.66 (define @t68 () (tptp.down @t65 @t67)) % 0.44/0.66 (define @t69 () (@var "X21" $$unsorted)) % 0.44/0.66 (define @t70 () (tptp.barrel @t65 @t69)) % 0.44/0.66 (define @t71 () (tptp.lonely @t67)) % 0.44/0.66 (define @t72 () (tptp.way @t67)) % 0.44/0.66 (define @t73 () (tptp.street @t67)) % 0.44/0.66 (define @t74 () (tptp.old @t69)) % 0.44/0.66 (define @t75 () (tptp.dirty @t69)) % 0.44/0.66 (define @t76 () (tptp.white @t69)) % 0.44/0.66 (define @t77 () (tptp.car @t69)) % 0.44/0.66 (define @t78 () (tptp.chevy @t69)) % 0.44/0.66 (define @t79 () (tptp.event @t65)) % 0.44/0.66 (define @t80 () (tptp.city @t64)) % 0.44/0.66 (define @t81 () (tptp.hollywood @t64)) % 0.44/0.66 (define @t82 () (tptp.front @t46)) % 0.44/0.66 (define @t83 () (tptp.furniture @t46)) % 0.44/0.66 (define @t84 () (tptp.seat @t46)) % 0.44/0.66 (define @t85 () (tptp.front @t51)) % 0.44/0.66 (define @t86 () (tptp.furniture @t51)) % 0.44/0.66 (define @t87 () (tptp.seat @t51)) % 0.44/0.66 (define @t88 () (and @t87 @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48)) % 0.44/0.66 (define @t89 () (@list @t51 @t46 @t64 @t65 @t69 @t67 @t54 @t49 @t52 @t47)) % 0.44/0.66 (define @t90 () (exists @t89 @t88)) % 0.44/0.66 (define @t91 () (=> @t90 @t45)) % 0.44/0.66 (define @t92 () (@var "X7" $$unsorted)) % 0.44/0.66 (define @t93 () (@var "X16" $$unsorted)) % 0.44/0.66 (define @t94 () (tptp.in @t93 @t92)) % 0.44/0.66 (define @t95 () (@var "X13" $$unsorted)) % 0.44/0.66 (define @t96 () (= @t95 @t93)) % 0.44/0.66 (define @t97 () (@var "X6" $$unsorted)) % 0.44/0.66 (define @t98 () (@var "X15" $$unsorted)) % 0.44/0.66 (define @t99 () (tptp.in @t98 @t97)) % 0.44/0.66 (define @t100 () (@var "X12" $$unsorted)) % 0.44/0.66 (define @t101 () (= @t100 @t98)) % 0.44/0.66 (define @t102 () (tptp.young @t95)) % 0.44/0.66 (define @t103 () (tptp.man @t95)) % 0.44/0.66 (define @t104 () (tptp.fellow @t95)) % 0.44/0.66 (define @t105 () (tptp.young @t100)) % 0.44/0.66 (define @t106 () (tptp.man @t100)) % 0.44/0.66 (define @t107 () (tptp.fellow @t100)) % 0.44/0.66 (define @t108 () (= @t100 @t95)) % 0.44/0.66 (define @t109 () (not @t108)) % 0.44/0.66 (define @t110 () (@var "X8" $$unsorted)) % 0.44/0.66 (define @t111 () (@var "X9" $$unsorted)) % 0.44/0.66 (define @t112 () (tptp.in @t111 @t110)) % 0.44/0.66 (define @t113 () (@var "X11" $$unsorted)) % 0.44/0.66 (define @t114 () (tptp.down @t111 @t113)) % 0.44/0.66 (define @t115 () (@var "X10" $$unsorted)) % 0.44/0.66 (define @t116 () (tptp.barrel @t111 @t115)) % 0.44/0.66 (define @t117 () (tptp.lonely @t113)) % 0.44/0.66 (define @t118 () (tptp.way @t113)) % 0.44/0.66 (define @t119 () (tptp.street @t113)) % 0.44/0.66 (define @t120 () (tptp.old @t115)) % 0.44/0.66 (define @t121 () (tptp.dirty @t115)) % 0.44/0.66 (define @t122 () (tptp.white @t115)) % 0.44/0.66 (define @t123 () (tptp.car @t115)) % 0.44/0.66 (define @t124 () (tptp.chevy @t115)) % 0.44/0.66 (define @t125 () (tptp.event @t111)) % 0.44/0.66 (define @t126 () (tptp.city @t110)) % 0.44/0.66 (define @t127 () (tptp.hollywood @t110)) % 0.44/0.66 (define @t128 () (tptp.front @t92)) % 0.44/0.66 (define @t129 () (tptp.furniture @t92)) % 0.44/0.66 (define @t130 () (tptp.seat @t92)) % 0.44/0.66 (define @t131 () (tptp.front @t97)) % 0.44/0.66 (define @t132 () (tptp.furniture @t97)) % 0.44/0.66 (define @t133 () (tptp.seat @t97)) % 0.44/0.66 (define @t134 () (and @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94)) % 0.44/0.66 (define @t135 () (@list @t97 @t92 @t110 @t111 @t115 @t113 @t100 @t95 @t98 @t93)) % 0.44/0.66 (define @t136 () (exists @t135 @t134)) % 0.44/0.66 (define @t137 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t138 () (@var "X5" $$unsorted)) % 0.44/0.66 (define @t139 () (tptp.in @t138 @t137)) % 0.44/0.66 (define @t140 () (@var "X2" $$unsorted)) % 0.44/0.66 (define @t141 () (= @t140 @t138)) % 0.44/0.66 (define @t142 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t143 () (@var "X4" $$unsorted)) % 0.44/0.66 (define @t144 () (tptp.in @t143 @t142)) % 0.44/0.66 (define @t145 () (@var "X1" $$unsorted)) % 0.44/0.66 (define @t146 () (= @t145 @t143)) % 0.44/0.66 (define @t147 () (tptp.young @t140)) % 0.44/0.66 (define @t148 () (tptp.man @t140)) % 0.44/0.66 (define @t149 () (tptp.fellow @t140)) % 0.44/0.66 (define @t150 () (tptp.young @t145)) % 0.44/0.66 (define @t151 () (tptp.man @t145)) % 0.44/0.66 (define @t152 () (tptp.fellow @t145)) % 0.44/0.66 (define @t153 () (= @t145 @t140)) % 0.44/0.66 (define @t154 () (not @t153)) % 0.44/0.66 (define @t155 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t156 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t157 () (tptp.in @t156 @t155)) % 0.44/0.66 (define @t158 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t159 () (tptp.down @t156 @t158)) % 0.44/0.66 (define @t160 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t161 () (tptp.barrel @t156 @t160)) % 0.44/0.66 (define @t162 () (tptp.old @t160)) % 0.44/0.66 (define @t163 () (tptp.dirty @t160)) % 0.44/0.66 (define @t164 () (tptp.white @t160)) % 0.44/0.66 (define @t165 () (tptp.car @t160)) % 0.44/0.66 (define @t166 () (tptp.chevy @t160)) % 0.44/0.66 (define @t167 () (tptp.lonely @t158)) % 0.44/0.66 (define @t168 () (tptp.way @t158)) % 0.44/0.66 (define @t169 () (tptp.street @t158)) % 0.44/0.66 (define @t170 () (tptp.event @t156)) % 0.44/0.66 (define @t171 () (tptp.city @t155)) % 0.44/0.66 (define @t172 () (tptp.hollywood @t155)) % 0.44/0.66 (define @t173 () (tptp.front @t137)) % 0.44/0.66 (define @t174 () (tptp.furniture @t137)) % 0.44/0.66 (define @t175 () (tptp.seat @t137)) % 0.44/0.66 (define @t176 () (tptp.front @t142)) % 0.44/0.66 (define @t177 () (tptp.furniture @t142)) % 0.44/0.66 (define @t178 () (tptp.seat @t142)) % 0.44/0.66 (define @t179 () (and @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139)) % 0.44/0.66 (define @t180 () (@list @t142 @t137 @t155 @t156 @t158 @t160 @t145 @t140 @t143 @t138)) % 0.44/0.66 (define @t181 () (exists @t180 @t179)) % 0.44/0.66 (define @t182 () (=> @t181 @t136)) % 0.44/0.66 (define @t183 () (and @t182 @t91)) % 0.44/0.66 (define @t184 () (not @t183)) % 0.44/0.66 (define @t185 () (not @t139)) % 0.44/0.66 (define @t186 () (not @t144)) % 0.44/0.66 (define @t187 () (not (tptp.young @t138))) % 0.44/0.66 (define @t188 () (not (tptp.man @t138))) % 0.44/0.66 (define @t189 () (not (tptp.fellow @t138))) % 0.44/0.66 (define @t190 () (not (tptp.young @t143))) % 0.44/0.66 (define @t191 () (not (tptp.man @t143))) % 0.44/0.66 (define @t192 () (not (tptp.fellow @t143))) % 0.44/0.66 (define @t193 () (= @t143 @t138)) % 0.44/0.66 (define @t194 () (not @t176)) % 0.44/0.66 (define @t195 () (not @t177)) % 0.44/0.66 (define @t196 () (not @t178)) % 0.44/0.66 (define @t197 () (not @t173)) % 0.44/0.67 (define @t198 () (not @t174)) % 0.44/0.67 (define @t199 () (not @t175)) % 0.44/0.67 (define @t200 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185)) % 0.44/0.67 (define @t201 () (@list @t142 @t137 @t143 @t138)) % 0.44/0.67 (define @t202 () (forall @t201 @t200)) % 0.44/0.67 (define @t203 () (@list @t143 @t138 @t142 @t137)) % 0.44/0.67 (define @t204 () (not @t21)) % 0.44/0.67 (define @t205 () (not @t23)) % 0.44/0.67 (define @t206 () (not @t31)) % 0.44/0.67 (define @t207 () (not @t32)) % 0.44/0.67 (define @t208 () (not @t33)) % 0.44/0.67 (define @t209 () (not @t25)) % 0.44/0.67 (define @t210 () (not @t26)) % 0.44/0.67 (define @t211 () (not @t27)) % 0.44/0.67 (define @t212 () (not @t28)) % 0.44/0.67 (define @t213 () (not @t29)) % 0.44/0.67 (define @t214 () (not @t30)) % 0.44/0.67 (define @t215 () (not @t34)) % 0.44/0.67 (define @t216 () (not @t35)) % 0.44/0.67 (define @t217 () (not @t36)) % 0.44/0.67 (define @t218 () (or @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204)) % 0.44/0.67 (define @t219 () (forall (@list @t19 @t20 @t22 @t24) @t218)) % 0.44/0.67 (define @t220 () (not @t3)) % 0.44/0.67 (define @t221 () (not @t8)) % 0.44/0.67 (define @t222 () (not (tptp.young @t2))) % 0.44/0.67 (define @t223 () (not (tptp.man @t2))) % 0.44/0.67 (define @t224 () (not (tptp.fellow @t2))) % 0.44/0.67 (define @t225 () (not (tptp.young @t7))) % 0.44/0.67 (define @t226 () (not (tptp.man @t7))) % 0.44/0.67 (define @t227 () (not (tptp.fellow @t7))) % 0.44/0.67 (define @t228 () (= @t7 @t2)) % 0.44/0.67 (define @t229 () (not @t40)) % 0.44/0.67 (define @t230 () (not @t41)) % 0.44/0.67 (define @t231 () (not @t42)) % 0.44/0.67 (define @t232 () (not @t37)) % 0.44/0.67 (define @t233 () (not @t38)) % 0.44/0.67 (define @t234 () (not @t39)) % 0.44/0.67 (define @t235 () (or @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220)) % 0.44/0.67 (define @t236 () (@list @t6 @t1 @t7 @t2)) % 0.44/0.67 (define @t237 () (forall @t236 @t235)) % 0.44/0.67 (define @t238 () (or @t237 @t219)) % 0.44/0.67 (define @t239 () (not @t238)) % 0.44/0.67 (define @t240 () (not @t66)) % 0.44/0.67 (define @t241 () (not @t68)) % 0.44/0.67 (define @t242 () (not @t71)) % 0.44/0.67 (define @t243 () (not @t72)) % 0.44/0.67 (define @t244 () (not @t73)) % 0.44/0.67 (define @t245 () (not @t70)) % 0.44/0.67 (define @t246 () (not @t74)) % 0.44/0.67 (define @t247 () (not @t75)) % 0.44/0.67 (define @t248 () (not @t76)) % 0.44/0.67 (define @t249 () (not @t77)) % 0.44/0.67 (define @t250 () (not @t78)) % 0.44/0.67 (define @t251 () (not @t79)) % 0.44/0.67 (define @t252 () (not @t80)) % 0.44/0.67 (define @t253 () (not @t81)) % 0.44/0.67 (define @t254 () (or @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240)) % 0.44/0.67 (define @t255 () (forall (@list @t64 @t65 @t69 @t67) @t254)) % 0.44/0.67 (define @t256 () (not @t48)) % 0.44/0.67 (define @t257 () (not @t53)) % 0.44/0.67 (define @t258 () (not (tptp.young @t47))) % 0.44/0.67 (define @t259 () (not (tptp.man @t47))) % 0.44/0.67 (define @t260 () (not (tptp.fellow @t47))) % 0.44/0.67 (define @t261 () (not (tptp.young @t52))) % 0.44/0.67 (define @t262 () (not (tptp.man @t52))) % 0.44/0.67 (define @t263 () (not (tptp.fellow @t52))) % 0.44/0.67 (define @t264 () (= @t52 @t47)) % 0.44/0.67 (define @t265 () (not @t85)) % 0.44/0.67 (define @t266 () (not @t86)) % 0.44/0.67 (define @t267 () (not @t87)) % 0.44/0.67 (define @t268 () (not @t82)) % 0.44/0.67 (define @t269 () (not @t83)) % 0.44/0.67 (define @t270 () (not @t84)) % 0.44/0.67 (define @t271 () (or @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256)) % 0.44/0.67 (define @t272 () (@list @t51 @t46 @t52 @t47)) % 0.44/0.67 (define @t273 () (forall @t272 @t271)) % 0.44/0.67 (define @t274 () (or @t273 @t255)) % 0.44/0.67 (define @t275 () (not @t274)) % 0.44/0.67 (define @t276 () (=> @t275 @t239)) % 0.44/0.67 (define @t277 () (not @t157)) % 0.44/0.67 (define @t278 () (not @t159)) % 0.44/0.67 (define @t279 () (not @t167)) % 0.44/0.67 (define @t280 () (not @t168)) % 0.44/0.67 (define @t281 () (not @t169)) % 0.44/0.67 (define @t282 () (not @t161)) % 0.44/0.67 (define @t283 () (not @t162)) % 0.44/0.67 (define @t284 () (not @t163)) % 0.44/0.67 (define @t285 () (not @t164)) % 0.44/0.67 (define @t286 () (not @t165)) % 0.44/0.67 (define @t287 () (not @t166)) % 0.44/0.67 (define @t288 () (not @t170)) % 0.44/0.67 (define @t289 () (not @t171)) % 0.44/0.67 (define @t290 () (not @t172)) % 0.44/0.67 (define @t291 () (or @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277)) % 0.44/0.67 (define @t292 () (forall (@list @t155 @t156 @t158 @t160) @t291)) % 0.44/0.67 (define @t293 () (@list @t156 @t155 @t160 @t158)) % 0.44/0.67 (define @t294 () (not (= @t2 @t2))) % 0.44/0.67 (define @t295 () (or @t234 @t233 @t232 @t231 @t230 @t229 (= @t2 @t7) @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t294 @t220)) % 0.44/0.67 (define @t296 () (not @t5)) % 0.44/0.67 (define @t297 () (not @t11)) % 0.44/0.67 (define @t298 () (not @t12)) % 0.44/0.67 (define @t299 () (not @t13)) % 0.44/0.67 (define @t300 () (= @t4 @t7)) % 0.44/0.67 (define @t301 () (or @t296 @t234 @t233 @t232 @t231 @t230 @t229 @t300 @t227 @t226 @t225 @t299 @t298 @t297 @t221 @t296 @t220)) % 0.44/0.67 (define @t302 () (@list @t4)) % 0.44/0.67 (define @t303 () (or @t234 @t233 @t232 @t231 @t230 @t229 @t300 @t227 @t226 @t225 @t299 @t298 @t297 @t221 @t296 @t220)) % 0.44/0.67 (define @t304 () (forall @t302 @t303)) % 0.44/0.67 (define @t305 () (forall @t236 @t304)) % 0.44/0.67 (define @t306 () (forall (@list @t6 @t1 @t7 @t2 @t4) @t303)) % 0.44/0.67 (define @t307 () (@list @t6 @t1 @t4 @t7 @t2)) % 0.44/0.67 (define @t308 () (not (= @t7 @t7))) % 0.44/0.67 (define @t309 () (or @t234 @t233 @t232 @t231 @t230 @t229 (= @t7 @t4) @t227 @t226 @t225 @t299 @t298 @t297 @t308 @t221 @t296 @t220)) % 0.44/0.67 (define @t310 () (not @t10)) % 0.44/0.67 (define @t311 () (not @t14)) % 0.44/0.67 (define @t312 () (not @t15)) % 0.44/0.67 (define @t313 () (not @t16)) % 0.44/0.67 (define @t314 () (or @t310 @t234 @t233 @t232 @t231 @t230 @t229 @t17 @t313 @t312 @t311 @t299 @t298 @t297 @t310 @t221 @t296 @t220)) % 0.44/0.67 (define @t315 () (@list @t9)) % 0.44/0.67 (define @t316 () (or @t234 @t233 @t232 @t231 @t230 @t229 @t17 @t313 @t312 @t311 @t299 @t298 @t297 @t310 @t221 @t296 @t220)) % 0.44/0.67 (define @t317 () (forall @t315 @t316)) % 0.44/0.67 (define @t318 () (forall @t307 @t317)) % 0.44/0.67 (define @t319 () (forall (@list @t6 @t1 @t4 @t7 @t2 @t9) @t316)) % 0.44/0.67 (define @t320 () (forall (@list @t6 @t1 @t9 @t4 @t7 @t2) @t316)) % 0.44/0.67 (define @t321 () (or @t320 @t219)) % 0.44/0.67 (define @t322 () (or @t316 @t218)) % 0.44/0.67 (define @t323 () (@list @t6 @t1 @t9 @t4 @t7 @t2 @t19 @t20 @t22 @t24)) % 0.44/0.67 (define @t324 () (or @t231 @t230 @t229 @t234 @t233 @t232 @t217 @t216 @t215 @t208 @t207 @t206 @t214 @t213 @t212 @t211 @t210 @t209 @t205 @t204 @t17 @t313 @t312 @t311 @t299 @t298 @t297 @t310 @t221 @t296 @t220)) % 0.44/0.67 (define @t325 () (forall @t323 @t324)) % 0.44/0.67 (define @t326 () (not @t18)) % 0.44/0.67 (define @t327 () (or @t231 @t230 @t229 @t234 @t233 @t232 @t217 @t216 @t215 @t208 @t207 @t206 @t214 @t213 @t212 @t211 @t210 @t209 @t205 @t204 @t326 @t313 @t312 @t311 @t299 @t298 @t297 @t310 @t221 @t296 @t220)) % 0.44/0.67 (define @t328 () (forall @t44 (not @t43))) % 0.44/0.67 (define @t329 () (not @t328)) % 0.44/0.67 (define @t330 () (not (= @t47 @t47))) % 0.44/0.67 (define @t331 () (or @t270 @t269 @t268 @t267 @t266 @t265 (= @t47 @t52) @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t330 @t256)) % 0.44/0.67 (define @t332 () (not @t50)) % 0.44/0.67 (define @t333 () (not @t56)) % 0.44/0.67 (define @t334 () (not @t57)) % 0.44/0.67 (define @t335 () (not @t58)) % 0.44/0.67 (define @t336 () (= @t49 @t52)) % 0.44/0.67 (define @t337 () (or @t332 @t270 @t269 @t268 @t267 @t266 @t265 @t336 @t263 @t262 @t261 @t335 @t334 @t333 @t257 @t332 @t256)) % 0.44/0.67 (define @t338 () (@list @t49)) % 0.44/0.67 (define @t339 () (or @t270 @t269 @t268 @t267 @t266 @t265 @t336 @t263 @t262 @t261 @t335 @t334 @t333 @t257 @t332 @t256)) % 0.44/0.67 (define @t340 () (forall @t338 @t339)) % 0.44/0.67 (define @t341 () (forall @t272 @t340)) % 0.44/0.67 (define @t342 () (forall (@list @t51 @t46 @t52 @t47 @t49) @t339)) % 0.44/0.67 (define @t343 () (@list @t51 @t46 @t49 @t52 @t47)) % 0.44/0.67 (define @t344 () (not (= @t52 @t52))) % 0.44/0.67 (define @t345 () (or @t270 @t269 @t268 @t267 @t266 @t265 (= @t52 @t49) @t263 @t262 @t261 @t335 @t334 @t333 @t344 @t257 @t332 @t256)) % 0.44/0.67 (define @t346 () (not @t55)) % 0.44/0.67 (define @t347 () (not @t59)) % 0.44/0.67 (define @t348 () (not @t60)) % 0.44/0.67 (define @t349 () (not @t61)) % 0.44/0.67 (define @t350 () (or @t346 @t270 @t269 @t268 @t267 @t266 @t265 @t62 @t349 @t348 @t347 @t335 @t334 @t333 @t346 @t257 @t332 @t256)) % 0.44/0.67 (define @t351 () (@list @t54)) % 0.44/0.67 (define @t352 () (or @t270 @t269 @t268 @t267 @t266 @t265 @t62 @t349 @t348 @t347 @t335 @t334 @t333 @t346 @t257 @t332 @t256)) % 0.44/0.67 (define @t353 () (forall @t351 @t352)) % 0.44/0.67 (define @t354 () (forall @t343 @t353)) % 0.44/0.67 (define @t355 () (forall (@list @t51 @t46 @t49 @t52 @t47 @t54) @t352)) % 0.44/0.67 (define @t356 () (forall (@list @t51 @t46 @t54 @t49 @t52 @t47) @t352)) % 0.44/0.67 (define @t357 () (or @t356 @t255)) % 0.44/0.67 (define @t358 () (or @t352 @t254)) % 0.44/0.67 (define @t359 () (@list @t51 @t46 @t54 @t49 @t52 @t47 @t64 @t65 @t69 @t67)) % 0.44/0.67 (define @t360 () (or @t267 @t266 @t265 @t270 @t269 @t268 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t244 @t243 @t242 @t245 @t241 @t240 @t62 @t349 @t348 @t347 @t335 @t334 @t333 @t346 @t257 @t332 @t256)) % 0.44/0.67 (define @t361 () (forall @t359 @t360)) % 0.44/0.67 (define @t362 () (not @t63)) % 0.44/0.67 (define @t363 () (or @t267 @t266 @t265 @t270 @t269 @t268 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t244 @t243 @t242 @t245 @t241 @t240 @t362 @t349 @t348 @t347 @t335 @t334 @t333 @t346 @t257 @t332 @t256)) % 0.44/0.67 (define @t364 () (forall @t89 (not @t88))) % 0.44/0.67 (define @t365 () (not @t364)) % 0.44/0.67 (define @t366 () (not @t112)) % 0.44/0.67 (define @t367 () (not @t114)) % 0.44/0.67 (define @t368 () (not @t117)) % 0.44/0.67 (define @t369 () (not @t118)) % 0.44/0.67 (define @t370 () (not @t119)) % 0.44/0.67 (define @t371 () (not @t116)) % 0.44/0.67 (define @t372 () (not @t120)) % 0.44/0.67 (define @t373 () (not @t121)) % 0.44/0.67 (define @t374 () (not @t122)) % 0.44/0.67 (define @t375 () (not @t123)) % 0.44/0.67 (define @t376 () (not @t124)) % 0.44/0.67 (define @t377 () (not @t125)) % 0.44/0.67 (define @t378 () (not @t126)) % 0.44/0.67 (define @t379 () (not @t127)) % 0.44/0.67 (define @t380 () (or @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366)) % 0.44/0.67 (define @t381 () (forall (@list @t110 @t111 @t115 @t113) @t380)) % 0.44/0.67 (define @t382 () (not @t94)) % 0.44/0.67 (define @t383 () (not @t99)) % 0.44/0.67 (define @t384 () (not (tptp.young @t93))) % 0.44/0.67 (define @t385 () (not (tptp.man @t93))) % 0.44/0.67 (define @t386 () (not (tptp.fellow @t93))) % 0.44/0.67 (define @t387 () (not (tptp.young @t98))) % 0.44/0.67 (define @t388 () (not (tptp.man @t98))) % 0.44/0.67 (define @t389 () (not (tptp.fellow @t98))) % 0.44/0.67 (define @t390 () (= @t98 @t93)) % 0.44/0.67 (define @t391 () (not @t131)) % 0.44/0.67 (define @t392 () (not @t132)) % 0.44/0.67 (define @t393 () (not @t133)) % 0.44/0.67 (define @t394 () (not @t128)) % 0.44/0.67 (define @t395 () (not @t129)) % 0.44/0.67 (define @t396 () (not @t130)) % 0.44/0.67 (define @t397 () (or @t396 @t395 @t394 @t393 @t392 @t391 @t390 @t389 @t388 @t387 @t386 @t385 @t384 @t383 @t382)) % 0.44/0.67 (define @t398 () (not (= @t93 @t93))) % 0.44/0.67 (define @t399 () (or @t396 @t395 @t394 @t393 @t392 @t391 (= @t93 @t98) @t389 @t388 @t387 @t386 @t385 @t384 @t383 @t398 @t382)) % 0.44/0.67 (define @t400 () (@list @t97 @t92 @t98 @t93)) % 0.44/0.67 (define @t401 () (not @t96)) % 0.44/0.67 (define @t402 () (not @t102)) % 0.44/0.67 (define @t403 () (not @t103)) % 0.44/0.67 (define @t404 () (not @t104)) % 0.44/0.67 (define @t405 () (= @t95 @t98)) % 0.44/0.67 (define @t406 () (or @t401 @t396 @t395 @t394 @t393 @t392 @t391 @t405 @t389 @t388 @t387 @t404 @t403 @t402 @t383 @t401 @t382)) % 0.44/0.67 (define @t407 () (@list @t95)) % 0.44/0.67 (define @t408 () (or @t396 @t395 @t394 @t393 @t392 @t391 @t405 @t389 @t388 @t387 @t404 @t403 @t402 @t383 @t401 @t382)) % 0.44/0.67 (define @t409 () (forall @t407 @t408)) % 0.44/0.67 (define @t410 () (forall @t400 @t409)) % 0.44/0.67 (define @t411 () (forall (@list @t97 @t92 @t98 @t93 @t95) @t408)) % 0.44/0.67 (define @t412 () (@list @t97 @t92 @t95 @t98 @t93)) % 0.44/0.67 (define @t413 () (not (= @t98 @t98))) % 0.44/0.67 (define @t414 () (or @t396 @t395 @t394 @t393 @t392 @t391 (= @t98 @t95) @t389 @t388 @t387 @t404 @t403 @t402 @t413 @t383 @t401 @t382)) % 0.44/0.67 (define @t415 () (not @t101)) % 0.44/0.67 (define @t416 () (not @t105)) % 0.44/0.67 (define @t417 () (not @t106)) % 0.44/0.67 (define @t418 () (not @t107)) % 0.44/0.67 (define @t419 () (or @t415 @t396 @t395 @t394 @t393 @t392 @t391 @t108 @t418 @t417 @t416 @t404 @t403 @t402 @t415 @t383 @t401 @t382)) % 0.44/0.67 (define @t420 () (@list @t100)) % 0.44/0.67 (define @t421 () (or @t396 @t395 @t394 @t393 @t392 @t391 @t108 @t418 @t417 @t416 @t404 @t403 @t402 @t415 @t383 @t401 @t382)) % 0.44/0.67 (define @t422 () (forall @t420 @t421)) % 0.44/0.67 (define @t423 () (forall @t412 @t422)) % 0.44/0.67 (define @t424 () (forall (@list @t97 @t92 @t95 @t98 @t93 @t100) @t421)) % 0.44/0.67 (define @t425 () (forall (@list @t97 @t92 @t100 @t95 @t98 @t93) @t421)) % 0.44/0.67 (define @t426 () (or @t425 @t381)) % 0.44/0.67 (define @t427 () (or @t421 @t380)) % 0.44/0.67 (define @t428 () (@list @t97 @t92 @t100 @t95 @t98 @t93 @t110 @t111 @t115 @t113)) % 0.44/0.67 (define @t429 () (or @t393 @t392 @t391 @t396 @t395 @t394 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t370 @t369 @t368 @t371 @t367 @t366 @t108 @t418 @t417 @t416 @t404 @t403 @t402 @t415 @t383 @t401 @t382)) % 0.44/0.67 (define @t430 () (forall @t428 @t429)) % 0.44/0.67 (define @t431 () (not @t109)) % 0.44/0.67 (define @t432 () (or @t393 @t392 @t391 @t396 @t395 @t394 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t370 @t369 @t368 @t371 @t367 @t366 @t431 @t418 @t417 @t416 @t404 @t403 @t402 @t415 @t383 @t401 @t382)) % 0.44/0.67 (define @t433 () (forall @t135 (not @t134))) % 0.44/0.67 (define @t434 () (not @t433)) % 0.44/0.67 (define @t435 () (not (= @t138 @t138))) % 0.44/0.67 (define @t436 () (or @t199 @t198 @t197 @t196 @t195 @t194 (= @t138 @t143) @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t435 @t185)) % 0.44/0.67 (define @t437 () (not @t141)) % 0.44/0.67 (define @t438 () (not @t147)) % 0.44/0.67 (define @t439 () (not @t148)) % 0.44/0.67 (define @t440 () (not @t149)) % 0.44/0.67 (define @t441 () (= @t140 @t143)) % 0.44/0.67 (define @t442 () (or @t437 @t199 @t198 @t197 @t196 @t195 @t194 @t441 @t192 @t191 @t190 @t440 @t439 @t438 @t186 @t437 @t185)) % 0.44/0.67 (define @t443 () (@list @t140)) % 0.44/0.67 (define @t444 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t441 @t192 @t191 @t190 @t440 @t439 @t438 @t186 @t437 @t185)) % 0.44/0.67 (define @t445 () (forall @t443 @t444)) % 0.44/0.67 (define @t446 () (forall @t201 @t445)) % 0.44/0.67 (define @t447 () (forall (@list @t142 @t137 @t143 @t138 @t140) @t444)) % 0.44/0.67 (define @t448 () (@list @t142 @t137 @t140 @t143 @t138)) % 0.44/0.67 (define @t449 () (not (= @t143 @t143))) % 0.44/0.67 (define @t450 () (or @t199 @t198 @t197 @t196 @t195 @t194 (= @t143 @t140) @t192 @t191 @t190 @t440 @t439 @t438 @t449 @t186 @t437 @t185)) % 0.44/0.67 (define @t451 () (not @t146)) % 0.44/0.67 (define @t452 () (not @t150)) % 0.44/0.67 (define @t453 () (not @t151)) % 0.44/0.67 (define @t454 () (not @t152)) % 0.44/0.67 (define @t455 () (or @t451 @t199 @t198 @t197 @t196 @t195 @t194 @t153 @t454 @t453 @t452 @t440 @t439 @t438 @t451 @t186 @t437 @t185)) % 0.44/0.67 (define @t456 () (@list @t145)) % 0.44/0.67 (define @t457 () (or @t199 @t198 @t197 @t196 @t195 @t194 @t153 @t454 @t453 @t452 @t440 @t439 @t438 @t451 @t186 @t437 @t185)) % 0.44/0.67 (define @t458 () (forall @t456 @t457)) % 0.44/0.67 (define @t459 () (forall @t448 @t458)) % 0.44/0.67 (define @t460 () (forall (@list @t142 @t137 @t140 @t143 @t138 @t145) @t457)) % 0.44/0.67 (define @t461 () (forall (@list @t142 @t137 @t145 @t140 @t143 @t138) @t457)) % 0.44/0.67 (define @t462 () (or @t461 @t292)) % 0.44/0.67 (define @t463 () (or @t457 @t291)) % 0.44/0.67 (define @t464 () (@list @t142 @t137 @t145 @t140 @t143 @t138 @t155 @t156 @t158 @t160)) % 0.44/0.67 (define @t465 () (or @t196 @t195 @t194 @t199 @t198 @t197 @t290 @t289 @t288 @t281 @t280 @t279 @t287 @t286 @t285 @t284 @t283 @t282 @t278 @t277 @t153 @t454 @t453 @t452 @t440 @t439 @t438 @t451 @t186 @t437 @t185)) % 0.44/0.67 (define @t466 () (forall @t464 @t465)) % 0.44/0.67 (define @t467 () (not @t154)) % 0.44/0.67 (define @t468 () (or @t196 @t195 @t194 @t199 @t198 @t197 @t290 @t289 @t288 @t281 @t280 @t279 @t287 @t286 @t285 @t284 @t283 @t282 @t278 @t277 @t467 @t454 @t453 @t452 @t440 @t439 @t438 @t451 @t186 @t437 @t185)) % 0.44/0.67 (define @t469 () (forall @t180 (not @t179))) % 0.44/0.67 (define @t470 () (not @t469)) % 0.44/0.67 (define @t471 () (forall @t400 @t397)) % 0.44/0.67 (define @t472 () (or @t471 @t381)) % 0.44/0.67 (define @t473 () (not @t472)) % 0.44/0.67 (define @t474 () (or @t202 @t292)) % 0.44/0.67 (define @t475 () (not @t474)) % 0.44/0.67 (define @t476 () (=> @t475 @t473)) % 0.44/0.67 (define @t477 () (@list false)) % 0.44/0.67 (define @t478 () (@list @t202)) % 0.44/0.67 (assume @p1 @t184) % 0.44/0.67 (assume @p2 true) % 0.44/0.67 (step @p3 :rule alpha_equiv :args (@t202 @t203 (@list @t98 @t93 @t97 @t92))) % 0.44/0.67 (step @p4 :rule equiv_elim2 :premises (@p3)) % 0.44/0.67 (step @p5 :rule alpha_equiv :args (@t202 @t203 (@list @t7 @t2 @t6 @t1))) % 0.44/0.67 (step @p6 :rule equiv_elim2 :premises (@p5)) % 0.44/0.67 (step @p7 :rule cnf_implies_neg1 :args (@t276)) % 0.44/0.67 (step @p8 :rule reordering :premises (@p7) :args ((or @t275 @t276))) % 0.44/0.67 (step @p9 :rule bool-double-not-elim :args (@t238)) % 0.44/0.67 (step @p10 :rule refl :args (@t276)) % 0.44/0.67 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t276 (not @t239)))) % 0.44/0.67 (step @p12 :rule cnf_implies_neg2 :args (@t276)) % 0.44/0.67 (step @p13 :rule eq_resolve :premises (@p12 @p11)) % 0.44/0.67 (step @p14 :rule reordering :premises (@p13) :args ((or @t238 @t276))) % 0.44/0.67 (step @p15 :rule cnf_or_neg :args (@t274 1)) % 0.44/0.67 (step @p16 :rule cnf_or_pos :args (@t238)) % 0.44/0.67 (step @p17 :rule reordering :premises (@p16) :args ((or @t219 @t237 @t239))) % 0.44/0.67 (step @p18 :rule quant_var_reordering :args ((= (forall (@list @t64 @t65 @t67 @t69) @t254) @t255))) % 0.44/0.67 (step @p19 :rule alpha_equiv :args (@t292 @t293 (@list @t65 @t64 @t69 @t67))) % 0.44/0.67 (step @p20 :rule trans :premises (@p19 @p18)) % 0.44/0.67 (step @p21 :rule equiv_elim1 :premises (@p20)) % 0.44/0.67 (step @p22 :rule reordering :premises (@p21) :args ((or @t255 (not @t292)))) % 0.44/0.67 (step @p23 :rule alpha_equiv :args (@t292 @t293 (@list @t20 @t19 @t24 @t22))) % 0.44/0.67 (step @p24 :rule equiv_elim2 :premises (@p23)) % 0.44/0.67 (step @p25 :rule chain_m_resolution :premises (@p24 @p22 @p17 @p15 @p14 @p8) :args ((or @t237 @t276) (@list true false true false true) (@list @t292 @t219 @t255 @t238 @t274))) % 0.44/0.67 (step @p26 :rule refl :args (@t219)) % 0.44/0.67 (step @p27 :rule aci_norm :args ((= (or @t234 @t233 @t232 @t231 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 false @t220) @t235))) % 0.44/0.67 (step @p28 :rule refl :args (@t220)) % 0.44/0.67 (step @p29 :rule evaluate :args ((not true))) % 0.44/0.67 (step @p30 :rule eq-refl :args (@t2)) % 0.44/0.67 (step @p31 :rule cong :premises (@p30) :args (@t294)) % 0.44/0.67 (step @p32 :rule trans :premises (@p31 @p29)) % 0.44/0.67 (step @p33 :rule refl :args (@t221)) % 0.44/0.67 (step @p34 :rule refl :args (@t222)) % 0.44/0.67 (step @p35 :rule refl :args (@t223)) % 0.44/0.67 (step @p36 :rule refl :args (@t224)) % 0.44/0.67 (step @p37 :rule refl :args (@t225)) % 0.44/0.67 (step @p38 :rule refl :args (@t226)) % 0.44/0.67 (step @p39 :rule refl :args (@t227)) % 0.44/0.67 (step @p40 :rule eq-symm :args (@t2 @t7)) % 0.44/0.67 (step @p41 :rule refl :args (@t229)) % 0.44/0.67 (step @p42 :rule refl :args (@t230)) % 0.44/0.67 (step @p43 :rule refl :args (@t231)) % 0.44/0.67 (step @p44 :rule refl :args (@t232)) % 0.44/0.67 (step @p45 :rule refl :args (@t233)) % 0.44/0.67 (step @p46 :rule refl :args (@t234)) % 0.44/0.67 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p28) :args (@t295)) % 0.44/0.67 (step @p48 :rule trans :premises (@p47 @p27)) % 0.44/0.67 (step @p49 :rule cong :premises (@p48) :args ((forall @t236 @t295))) % 0.44/0.67 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t302 @t301) @t295))) % 0.44/0.67 (step @p51 :rule aci_norm :args ((= @t303 @t301))) % 0.44/0.67 (step @p52 :rule cong :premises (@p51) :args (@t304)) % 0.44/0.67 (step @p53 :rule trans :premises (@p52 @p50)) % 0.44/0.67 (step @p54 :rule cong :premises (@p53) :args (@t305)) % 0.44/0.67 (step @p55 :rule quant-merge-prenex :args ((= @t305 @t306))) % 0.44/0.67 (step @p56 :rule symm :premises (@p55)) % 0.44/0.67 (step @p57 :rule quant_var_reordering :args ((= (forall @t307 @t303) @t306))) % 0.44/0.67 (step @p58 :rule trans :premises (@p57 @p56 @p54)) % 0.44/0.67 (step @p59 :rule trans :premises (@p58 @p49)) % 0.44/0.67 (step @p60 :rule aci_norm :args ((= (or @t234 @t233 @t232 @t231 @t230 @t229 @t300 @t227 @t226 @t225 @t299 @t298 @t297 false @t221 @t296 @t220) @t303))) % 0.44/0.67 (step @p61 :rule refl :args (@t296)) % 0.44/0.67 (step @p62 :rule eq-refl :args (@t7)) % 0.44/0.67 (step @p63 :rule cong :premises (@p62) :args (@t308)) % 0.44/0.67 (step @p64 :rule trans :premises (@p63 @p29)) % 0.44/0.67 (step @p65 :rule refl :args (@t297)) % 0.44/0.67 (step @p66 :rule refl :args (@t298)) % 0.44/0.67 (step @p67 :rule refl :args (@t299)) % 0.44/0.67 (step @p68 :rule eq-symm :args (@t7 @t4)) % 0.44/0.67 (step @p69 :rule nary_cong :premises (@p46 @p45 @p44 @p43 @p42 @p41 @p68 @p39 @p38 @p37 @p67 @p66 @p65 @p64 @p33 @p61 @p28) :args (@t309)) % 0.44/0.67 (step @p70 :rule trans :premises (@p69 @p60)) % 0.44/0.67 (step @p71 :rule cong :premises (@p70) :args ((forall @t307 @t309))) % 0.44/0.67 (step @p72 :rule trans :premises (@p71 @p59)) % 0.44/0.67 (step @p73 :rule quant-var-elim-eq :args ((= (forall @t315 @t314) @t309))) % 0.44/0.67 (step @p74 :rule aci_norm :args ((= @t316 @t314))) % 0.44/0.67 (step @p75 :rule cong :premises (@p74) :args (@t317)) % 0.44/0.67 (step @p76 :rule trans :premises (@p75 @p73)) % 0.44/0.67 (step @p77 :rule cong :premises (@p76) :args (@t318)) % 0.44/0.67 (step @p78 :rule quant-merge-prenex :args ((= @t318 @t319))) % 0.44/0.67 (step @p79 :rule symm :premises (@p78)) % 0.44/0.67 (step @p80 :rule quant_var_reordering :args ((= @t320 @t319))) % 0.44/0.67 (step @p81 :rule trans :premises (@p80 @p79 @p77)) % 0.44/0.67 (step @p82 :rule trans :premises (@p81 @p72)) % 0.44/0.67 (step @p83 :rule nary_cong :premises (@p82 @p26) :args (@t321)) % 0.44/0.67 (step @p84 :rule quant-miniscope-or :args ((= (forall @t323 @t322) @t321))) % 0.44/0.67 (step @p85 :rule aci_norm :args ((= @t324 @t322))) % 0.44/0.67 (step @p86 :rule cong :premises (@p85) :args (@t325)) % 0.44/0.67 (step @p87 :rule quant_var_reordering :args ((= (forall @t44 @t324) @t325))) % 0.44/0.67 (step @p88 :rule trans :premises (@p87 @p86 @p84)) % 0.44/0.67 (step @p89 :rule trans :premises (@p88 @p83)) % 0.44/0.67 (step @p90 :rule refl :args (@t220)) % 0.44/0.67 (step @p91 :rule refl :args (@t296)) % 0.44/0.67 (step @p92 :rule refl :args (@t221)) % 0.44/0.67 (step @p93 :rule refl :args (@t310)) % 0.44/0.67 (step @p94 :rule refl :args (@t297)) % 0.44/0.67 (step @p95 :rule refl :args (@t298)) % 0.44/0.67 (step @p96 :rule refl :args (@t299)) % 0.44/0.67 (step @p97 :rule refl :args (@t311)) % 0.44/0.67 (step @p98 :rule refl :args (@t312)) % 0.44/0.67 (step @p99 :rule refl :args (@t313)) % 0.44/0.67 (step @p100 :rule bool-double-not-elim :args (@t17)) % 0.44/0.67 (step @p101 :rule refl :args (@t204)) % 0.44/0.67 (step @p102 :rule refl :args (@t205)) % 0.44/0.67 (step @p103 :rule refl :args (@t209)) % 0.44/0.67 (step @p104 :rule refl :args (@t210)) % 0.44/0.67 (step @p105 :rule refl :args (@t211)) % 0.44/0.67 (step @p106 :rule refl :args (@t212)) % 0.44/0.67 (step @p107 :rule refl :args (@t213)) % 0.44/0.67 (step @p108 :rule refl :args (@t214)) % 0.44/0.67 (step @p109 :rule refl :args (@t206)) % 0.44/0.67 (step @p110 :rule refl :args (@t207)) % 0.44/0.67 (step @p111 :rule refl :args (@t208)) % 0.44/0.67 (step @p112 :rule refl :args (@t215)) % 0.44/0.67 (step @p113 :rule refl :args (@t216)) % 0.44/0.67 (step @p114 :rule refl :args (@t217)) % 0.44/0.67 (step @p115 :rule refl :args (@t232)) % 0.44/0.67 (step @p116 :rule refl :args (@t233)) % 0.44/0.67 (step @p117 :rule refl :args (@t234)) % 0.44/0.67 (step @p118 :rule refl :args (@t229)) % 0.44/0.67 (step @p119 :rule refl :args (@t230)) % 0.44/0.67 (step @p120 :rule refl :args (@t231)) % 0.44/0.67 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90) :args (@t327)) % 0.44/0.67 (step @p122 :rule aci_norm :args ((= (or @t231 (or @t230 (or @t229 (or @t234 (or @t233 (or @t232 (or @t217 (or @t216 (or @t215 (or @t208 (or @t207 (or @t206 (or @t214 (or @t213 (or @t212 (or @t211 (or @t210 (or @t209 (or @t205 (or @t204 (or @t326 (or @t313 (or @t312 (or @t311 (or @t299 (or @t298 (or @t297 (or @t310 (or @t221 (or @t296 @t220)))))))))))))))))))))))))))))) @t327))) % 0.44/0.67 (step @p123 :rule trans :premises (@p122 @p121)) % 0.44/0.67 (step @p124 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.44/0.67 (step @p125 :rule nary_cong :premises (@p92 @p124) :args ((or @t221 (not (and @t5 @t3))))) % 0.44/0.67 (step @p126 :rule bool-and-de-morgan :args (@t8 @t5 (and @t3))) % 0.44/0.67 (step @p127 :rule trans :premises (@p126 @p125)) % 0.44/0.67 (step @p128 :rule nary_cong :premises (@p93 @p127) :args ((or @t310 (not (and @t8 @t5 @t3))))) % 0.44/0.67 (step @p129 :rule bool-and-de-morgan :args (@t10 @t8 (and @t5 @t3))) % 0.44/0.67 (step @p130 :rule trans :premises (@p129 @p128)) % 0.44/0.67 (step @p131 :rule nary_cong :premises (@p94 @p130) :args ((or @t297 (not (and @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p132 :rule bool-and-de-morgan :args (@t11 @t10 (and @t8 @t5 @t3))) % 0.44/0.67 (step @p133 :rule trans :premises (@p132 @p131)) % 0.44/0.67 (step @p134 :rule nary_cong :premises (@p95 @p133) :args ((or @t298 (not (and @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p135 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p136 :rule trans :premises (@p135 @p134)) % 0.44/0.67 (step @p137 :rule nary_cong :premises (@p96 @p136) :args ((or @t299 (not (and @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p138 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p139 :rule trans :premises (@p138 @p137)) % 0.44/0.67 (step @p140 :rule nary_cong :premises (@p97 @p139) :args ((or @t311 (not (and @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p141 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p142 :rule trans :premises (@p141 @p140)) % 0.44/0.67 (step @p143 :rule nary_cong :premises (@p98 @p142) :args ((or @t312 (not (and @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p144 :rule bool-and-de-morgan :args (@t15 @t14 (and @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p145 :rule trans :premises (@p144 @p143)) % 0.44/0.67 (step @p146 :rule nary_cong :premises (@p99 @p145) :args ((or @t313 (not (and @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p147 :rule bool-and-de-morgan :args (@t16 @t15 (and @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p148 :rule trans :premises (@p147 @p146)) % 0.44/0.67 (step @p149 :rule refl :args (@t326)) % 0.44/0.67 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t326 (not (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p151 :rule bool-and-de-morgan :args (@t18 @t16 (and @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p152 :rule trans :premises (@p151 @p150)) % 0.44/0.67 (step @p153 :rule nary_cong :premises (@p101 @p152) :args ((or @t204 (not (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p154 :rule bool-and-de-morgan :args (@t21 @t18 (and @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p155 :rule trans :premises (@p154 @p153)) % 0.44/0.67 (step @p156 :rule nary_cong :premises (@p102 @p155) :args ((or @t205 (not (and @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p157 :rule bool-and-de-morgan :args (@t23 @t21 (and @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p158 :rule trans :premises (@p157 @p156)) % 0.44/0.67 (step @p159 :rule nary_cong :premises (@p103 @p158) :args ((or @t209 (not (and @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p160 :rule bool-and-de-morgan :args (@t25 @t23 (and @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p161 :rule trans :premises (@p160 @p159)) % 0.44/0.67 (step @p162 :rule nary_cong :premises (@p104 @p161) :args ((or @t210 (not (and @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p163 :rule bool-and-de-morgan :args (@t26 @t25 (and @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p164 :rule trans :premises (@p163 @p162)) % 0.44/0.67 (step @p165 :rule nary_cong :premises (@p105 @p164) :args ((or @t211 (not (and @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p166 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p167 :rule trans :premises (@p166 @p165)) % 0.44/0.67 (step @p168 :rule nary_cong :premises (@p106 @p167) :args ((or @t212 (not (and @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p169 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p170 :rule trans :premises (@p169 @p168)) % 0.44/0.67 (step @p171 :rule nary_cong :premises (@p107 @p170) :args ((or @t213 (not (and @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p172 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p173 :rule trans :premises (@p172 @p171)) % 0.44/0.67 (step @p174 :rule nary_cong :premises (@p108 @p173) :args ((or @t214 (not (and @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p175 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p176 :rule trans :premises (@p175 @p174)) % 0.44/0.67 (step @p177 :rule nary_cong :premises (@p109 @p176) :args ((or @t206 (not (and @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p178 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p179 :rule trans :premises (@p178 @p177)) % 0.44/0.67 (step @p180 :rule nary_cong :premises (@p110 @p179) :args ((or @t207 (not (and @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p181 :rule bool-and-de-morgan :args (@t32 @t31 (and @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p182 :rule trans :premises (@p181 @p180)) % 0.44/0.67 (step @p183 :rule nary_cong :premises (@p111 @p182) :args ((or @t208 (not (and @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p184 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p185 :rule trans :premises (@p184 @p183)) % 0.44/0.67 (step @p186 :rule nary_cong :premises (@p112 @p185) :args ((or @t215 (not (and @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p187 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p188 :rule trans :premises (@p187 @p186)) % 0.44/0.67 (step @p189 :rule nary_cong :premises (@p113 @p188) :args ((or @t216 (not (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p190 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p191 :rule trans :premises (@p190 @p189)) % 0.44/0.67 (step @p192 :rule nary_cong :premises (@p114 @p191) :args ((or @t217 (not (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p193 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p194 :rule trans :premises (@p193 @p192)) % 0.44/0.67 (step @p195 :rule nary_cong :premises (@p115 @p194) :args ((or @t232 (not (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p196 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p197 :rule trans :premises (@p196 @p195)) % 0.44/0.67 (step @p198 :rule nary_cong :premises (@p116 @p197) :args ((or @t233 (not (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p199 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p200 :rule trans :premises (@p199 @p198)) % 0.44/0.67 (step @p201 :rule nary_cong :premises (@p117 @p200) :args ((or @t234 (not (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p202 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p203 :rule trans :premises (@p202 @p201)) % 0.44/0.67 (step @p204 :rule nary_cong :premises (@p118 @p203) :args ((or @t229 (not (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p205 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p206 :rule trans :premises (@p205 @p204)) % 0.44/0.67 (step @p207 :rule nary_cong :premises (@p119 @p206) :args ((or @t230 (not (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p208 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p209 :rule trans :premises (@p208 @p207)) % 0.44/0.67 (step @p210 :rule nary_cong :premises (@p120 @p209) :args ((or @t231 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))))) % 0.44/0.67 (step @p211 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t31 @t30 @t29 @t28 @t27 @t26 @t25 @t23 @t21 @t18 @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t8 @t5 @t3))) % 0.44/0.67 (step @p212 :rule trans :premises (@p211 @p210)) % 0.44/0.67 (step @p213 :rule trans :premises (@p212 @p123)) % 0.44/0.67 (step @p214 :rule cong :premises (@p213) :args (@t328)) % 0.44/0.67 (step @p215 :rule trans :premises (@p214 @p89)) % 0.44/0.67 (step @p216 :rule cong :premises (@p215) :args (@t329)) % 0.44/0.67 (step @p217 :rule exists-elim :args ((= @t45 @t329))) % 0.44/0.67 (step @p218 :rule trans :premises (@p217 @p216)) % 0.44/0.67 (step @p219 :rule refl :args (@t255)) % 0.44/0.67 (step @p220 :rule aci_norm :args ((= (or @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 false @t256) @t271))) % 0.44/0.67 (step @p221 :rule refl :args (@t256)) % 0.44/0.67 (step @p222 :rule eq-refl :args (@t47)) % 0.44/0.67 (step @p223 :rule cong :premises (@p222) :args (@t330)) % 0.44/0.67 (step @p224 :rule trans :premises (@p223 @p29)) % 0.44/0.67 (step @p225 :rule refl :args (@t257)) % 0.44/0.67 (step @p226 :rule refl :args (@t258)) % 0.44/0.67 (step @p227 :rule refl :args (@t259)) % 0.44/0.67 (step @p228 :rule refl :args (@t260)) % 0.44/0.67 (step @p229 :rule refl :args (@t261)) % 0.44/0.67 (step @p230 :rule refl :args (@t262)) % 0.44/0.67 (step @p231 :rule refl :args (@t263)) % 0.44/0.67 (step @p232 :rule eq-symm :args (@t47 @t52)) % 0.44/0.67 (step @p233 :rule refl :args (@t265)) % 0.44/0.67 (step @p234 :rule refl :args (@t266)) % 0.44/0.67 (step @p235 :rule refl :args (@t267)) % 0.44/0.67 (step @p236 :rule refl :args (@t268)) % 0.44/0.67 (step @p237 :rule refl :args (@t269)) % 0.44/0.67 (step @p238 :rule refl :args (@t270)) % 0.44/0.67 (step @p239 :rule nary_cong :premises (@p238 @p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p221) :args (@t331)) % 0.44/0.67 (step @p240 :rule trans :premises (@p239 @p220)) % 0.44/0.67 (step @p241 :rule cong :premises (@p240) :args ((forall @t272 @t331))) % 0.44/0.67 (step @p242 :rule quant-var-elim-eq :args ((= (forall @t338 @t337) @t331))) % 0.44/0.67 (step @p243 :rule aci_norm :args ((= @t339 @t337))) % 0.44/0.67 (step @p244 :rule cong :premises (@p243) :args (@t340)) % 0.44/0.67 (step @p245 :rule trans :premises (@p244 @p242)) % 0.44/0.67 (step @p246 :rule cong :premises (@p245) :args (@t341)) % 0.44/0.67 (step @p247 :rule quant-merge-prenex :args ((= @t341 @t342))) % 0.44/0.67 (step @p248 :rule symm :premises (@p247)) % 0.44/0.67 (step @p249 :rule quant_var_reordering :args ((= (forall @t343 @t339) @t342))) % 0.44/0.67 (step @p250 :rule trans :premises (@p249 @p248 @p246)) % 0.44/0.67 (step @p251 :rule trans :premises (@p250 @p241)) % 0.44/0.67 (step @p252 :rule aci_norm :args ((= (or @t270 @t269 @t268 @t267 @t266 @t265 @t336 @t263 @t262 @t261 @t335 @t334 @t333 false @t257 @t332 @t256) @t339))) % 0.44/0.67 (step @p253 :rule refl :args (@t332)) % 0.44/0.67 (step @p254 :rule eq-refl :args (@t52)) % 0.44/0.67 (step @p255 :rule cong :premises (@p254) :args (@t344)) % 0.44/0.67 (step @p256 :rule trans :premises (@p255 @p29)) % 0.44/0.67 (step @p257 :rule refl :args (@t333)) % 0.44/0.67 (step @p258 :rule refl :args (@t334)) % 0.44/0.67 (step @p259 :rule refl :args (@t335)) % 0.44/0.67 (step @p260 :rule eq-symm :args (@t52 @t49)) % 0.44/0.67 (step @p261 :rule nary_cong :premises (@p238 @p237 @p236 @p235 @p234 @p233 @p260 @p231 @p230 @p229 @p259 @p258 @p257 @p256 @p225 @p253 @p221) :args (@t345)) % 0.44/0.67 (step @p262 :rule trans :premises (@p261 @p252)) % 0.44/0.67 (step @p263 :rule cong :premises (@p262) :args ((forall @t343 @t345))) % 0.44/0.67 (step @p264 :rule trans :premises (@p263 @p251)) % 0.44/0.67 (step @p265 :rule quant-var-elim-eq :args ((= (forall @t351 @t350) @t345))) % 0.44/0.67 (step @p266 :rule aci_norm :args ((= @t352 @t350))) % 0.44/0.67 (step @p267 :rule cong :premises (@p266) :args (@t353)) % 0.44/0.67 (step @p268 :rule trans :premises (@p267 @p265)) % 0.44/0.67 (step @p269 :rule cong :premises (@p268) :args (@t354)) % 0.44/0.67 (step @p270 :rule quant-merge-prenex :args ((= @t354 @t355))) % 0.44/0.67 (step @p271 :rule symm :premises (@p270)) % 0.44/0.67 (step @p272 :rule quant_var_reordering :args ((= @t356 @t355))) % 0.44/0.67 (step @p273 :rule trans :premises (@p272 @p271 @p269)) % 0.44/0.67 (step @p274 :rule trans :premises (@p273 @p264)) % 0.44/0.67 (step @p275 :rule nary_cong :premises (@p274 @p219) :args (@t357)) % 0.44/0.67 (step @p276 :rule quant-miniscope-or :args ((= (forall @t359 @t358) @t357))) % 0.44/0.67 (step @p277 :rule aci_norm :args ((= @t360 @t358))) % 0.44/0.67 (step @p278 :rule cong :premises (@p277) :args (@t361)) % 0.44/0.67 (step @p279 :rule quant_var_reordering :args ((= (forall @t89 @t360) @t361))) % 0.44/0.67 (step @p280 :rule trans :premises (@p279 @p278 @p276)) % 0.44/0.67 (step @p281 :rule trans :premises (@p280 @p275)) % 0.44/0.67 (step @p282 :rule refl :args (@t256)) % 0.44/0.67 (step @p283 :rule refl :args (@t332)) % 0.44/0.67 (step @p284 :rule refl :args (@t257)) % 0.44/0.67 (step @p285 :rule refl :args (@t346)) % 0.44/0.67 (step @p286 :rule refl :args (@t333)) % 0.44/0.67 (step @p287 :rule refl :args (@t334)) % 0.44/0.67 (step @p288 :rule refl :args (@t335)) % 0.44/0.67 (step @p289 :rule refl :args (@t347)) % 0.44/0.67 (step @p290 :rule refl :args (@t348)) % 0.44/0.67 (step @p291 :rule refl :args (@t349)) % 0.44/0.67 (step @p292 :rule bool-double-not-elim :args (@t62)) % 0.44/0.67 (step @p293 :rule refl :args (@t240)) % 0.44/0.67 (step @p294 :rule refl :args (@t241)) % 0.44/0.67 (step @p295 :rule refl :args (@t245)) % 0.44/0.67 (step @p296 :rule refl :args (@t242)) % 0.44/0.67 (step @p297 :rule refl :args (@t243)) % 0.44/0.67 (step @p298 :rule refl :args (@t244)) % 0.44/0.67 (step @p299 :rule refl :args (@t246)) % 0.44/0.67 (step @p300 :rule refl :args (@t247)) % 0.44/0.67 (step @p301 :rule refl :args (@t248)) % 0.44/0.67 (step @p302 :rule refl :args (@t249)) % 0.44/0.67 (step @p303 :rule refl :args (@t250)) % 0.44/0.67 (step @p304 :rule refl :args (@t251)) % 0.44/0.67 (step @p305 :rule refl :args (@t252)) % 0.44/0.67 (step @p306 :rule refl :args (@t253)) % 0.44/0.67 (step @p307 :rule refl :args (@t268)) % 0.44/0.67 (step @p308 :rule refl :args (@t269)) % 0.44/0.67 (step @p309 :rule refl :args (@t270)) % 0.44/0.67 (step @p310 :rule refl :args (@t265)) % 0.44/0.67 (step @p311 :rule refl :args (@t266)) % 0.44/0.67 (step @p312 :rule refl :args (@t267)) % 0.44/0.67 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309 @p308 @p307 @p306 @p305 @p304 @p303 @p302 @p301 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292 @p291 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282) :args (@t363)) % 0.44/0.67 (step @p314 :rule aci_norm :args ((= (or @t267 (or @t266 (or @t265 (or @t270 (or @t269 (or @t268 (or @t253 (or @t252 (or @t251 (or @t250 (or @t249 (or @t248 (or @t247 (or @t246 (or @t244 (or @t243 (or @t242 (or @t245 (or @t241 (or @t240 (or @t362 (or @t349 (or @t348 (or @t347 (or @t335 (or @t334 (or @t333 (or @t346 (or @t257 (or @t332 @t256)))))))))))))))))))))))))))))) @t363))) % 0.44/0.67 (step @p315 :rule trans :premises (@p314 @p313)) % 0.44/0.67 (step @p316 :rule bool-and-de-morgan :args (@t50 @t48 true)) % 0.44/0.67 (step @p317 :rule nary_cong :premises (@p284 @p316) :args ((or @t257 (not (and @t50 @t48))))) % 0.44/0.67 (step @p318 :rule bool-and-de-morgan :args (@t53 @t50 (and @t48))) % 0.44/0.67 (step @p319 :rule trans :premises (@p318 @p317)) % 0.44/0.67 (step @p320 :rule nary_cong :premises (@p285 @p319) :args ((or @t346 (not (and @t53 @t50 @t48))))) % 0.44/0.67 (step @p321 :rule bool-and-de-morgan :args (@t55 @t53 (and @t50 @t48))) % 0.44/0.67 (step @p322 :rule trans :premises (@p321 @p320)) % 0.44/0.67 (step @p323 :rule nary_cong :premises (@p286 @p322) :args ((or @t333 (not (and @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p324 :rule bool-and-de-morgan :args (@t56 @t55 (and @t53 @t50 @t48))) % 0.44/0.67 (step @p325 :rule trans :premises (@p324 @p323)) % 0.44/0.67 (step @p326 :rule nary_cong :premises (@p287 @p325) :args ((or @t334 (not (and @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p327 :rule bool-and-de-morgan :args (@t57 @t56 (and @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p328 :rule trans :premises (@p327 @p326)) % 0.44/0.67 (step @p329 :rule nary_cong :premises (@p288 @p328) :args ((or @t335 (not (and @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p330 :rule bool-and-de-morgan :args (@t58 @t57 (and @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p331 :rule trans :premises (@p330 @p329)) % 0.44/0.67 (step @p332 :rule nary_cong :premises (@p289 @p331) :args ((or @t347 (not (and @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p333 :rule bool-and-de-morgan :args (@t59 @t58 (and @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p334 :rule trans :premises (@p333 @p332)) % 0.44/0.67 (step @p335 :rule nary_cong :premises (@p290 @p334) :args ((or @t348 (not (and @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p336 :rule bool-and-de-morgan :args (@t60 @t59 (and @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p337 :rule trans :premises (@p336 @p335)) % 0.44/0.67 (step @p338 :rule nary_cong :premises (@p291 @p337) :args ((or @t349 (not (and @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p339 :rule bool-and-de-morgan :args (@t61 @t60 (and @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p340 :rule trans :premises (@p339 @p338)) % 0.44/0.67 (step @p341 :rule refl :args (@t362)) % 0.44/0.67 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t362 (not (and @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p343 :rule bool-and-de-morgan :args (@t63 @t61 (and @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p344 :rule trans :premises (@p343 @p342)) % 0.44/0.67 (step @p345 :rule nary_cong :premises (@p293 @p344) :args ((or @t240 (not (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p346 :rule bool-and-de-morgan :args (@t66 @t63 (and @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p347 :rule trans :premises (@p346 @p345)) % 0.44/0.67 (step @p348 :rule nary_cong :premises (@p294 @p347) :args ((or @t241 (not (and @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p349 :rule bool-and-de-morgan :args (@t68 @t66 (and @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p350 :rule trans :premises (@p349 @p348)) % 0.44/0.67 (step @p351 :rule nary_cong :premises (@p295 @p350) :args ((or @t245 (not (and @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p352 :rule bool-and-de-morgan :args (@t70 @t68 (and @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p353 :rule trans :premises (@p352 @p351)) % 0.44/0.67 (step @p354 :rule nary_cong :premises (@p296 @p353) :args ((or @t242 (not (and @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p355 :rule bool-and-de-morgan :args (@t71 @t70 (and @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p356 :rule trans :premises (@p355 @p354)) % 0.44/0.67 (step @p357 :rule nary_cong :premises (@p297 @p356) :args ((or @t243 (not (and @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p358 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p359 :rule trans :premises (@p358 @p357)) % 0.44/0.67 (step @p360 :rule nary_cong :premises (@p298 @p359) :args ((or @t244 (not (and @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p361 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p362 :rule trans :premises (@p361 @p360)) % 0.44/0.67 (step @p363 :rule nary_cong :premises (@p299 @p362) :args ((or @t246 (not (and @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p364 :rule bool-and-de-morgan :args (@t74 @t73 (and @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p365 :rule trans :premises (@p364 @p363)) % 0.44/0.67 (step @p366 :rule nary_cong :premises (@p300 @p365) :args ((or @t247 (not (and @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p367 :rule bool-and-de-morgan :args (@t75 @t74 (and @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p368 :rule trans :premises (@p367 @p366)) % 0.44/0.67 (step @p369 :rule nary_cong :premises (@p301 @p368) :args ((or @t248 (not (and @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p370 :rule bool-and-de-morgan :args (@t76 @t75 (and @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p371 :rule trans :premises (@p370 @p369)) % 0.44/0.67 (step @p372 :rule nary_cong :premises (@p302 @p371) :args ((or @t249 (not (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p373 :rule bool-and-de-morgan :args (@t77 @t76 (and @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p374 :rule trans :premises (@p373 @p372)) % 0.44/0.67 (step @p375 :rule nary_cong :premises (@p303 @p374) :args ((or @t250 (not (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p376 :rule bool-and-de-morgan :args (@t78 @t77 (and @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p377 :rule trans :premises (@p376 @p375)) % 0.44/0.67 (step @p378 :rule nary_cong :premises (@p304 @p377) :args ((or @t251 (not (and @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p379 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p380 :rule trans :premises (@p379 @p378)) % 0.44/0.67 (step @p381 :rule nary_cong :premises (@p305 @p380) :args ((or @t252 (not (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p382 :rule bool-and-de-morgan :args (@t80 @t79 (and @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p383 :rule trans :premises (@p382 @p381)) % 0.44/0.67 (step @p384 :rule nary_cong :premises (@p306 @p383) :args ((or @t253 (not (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p385 :rule bool-and-de-morgan :args (@t81 @t80 (and @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p386 :rule trans :premises (@p385 @p384)) % 0.44/0.67 (step @p387 :rule nary_cong :premises (@p307 @p386) :args ((or @t268 (not (and @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p388 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p389 :rule trans :premises (@p388 @p387)) % 0.44/0.67 (step @p390 :rule nary_cong :premises (@p308 @p389) :args ((or @t269 (not (and @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p391 :rule bool-and-de-morgan :args (@t83 @t82 (and @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p392 :rule trans :premises (@p391 @p390)) % 0.44/0.67 (step @p393 :rule nary_cong :premises (@p309 @p392) :args ((or @t270 (not (and @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p394 :rule bool-and-de-morgan :args (@t84 @t83 (and @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p395 :rule trans :premises (@p394 @p393)) % 0.44/0.67 (step @p396 :rule nary_cong :premises (@p310 @p395) :args ((or @t265 (not (and @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p397 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p398 :rule trans :premises (@p397 @p396)) % 0.44/0.67 (step @p399 :rule nary_cong :premises (@p311 @p398) :args ((or @t266 (not (and @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p400 :rule bool-and-de-morgan :args (@t86 @t85 (and @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p401 :rule trans :premises (@p400 @p399)) % 0.44/0.67 (step @p402 :rule nary_cong :premises (@p312 @p401) :args ((or @t267 (not (and @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))))) % 0.44/0.67 (step @p403 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85 @t84 @t83 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t72 @t71 @t70 @t68 @t66 @t63 @t61 @t60 @t59 @t58 @t57 @t56 @t55 @t53 @t50 @t48))) % 0.44/0.67 (step @p404 :rule trans :premises (@p403 @p402)) % 0.44/0.67 (step @p405 :rule trans :premises (@p404 @p315)) % 0.44/0.67 (step @p406 :rule cong :premises (@p405) :args (@t364)) % 0.44/0.67 (step @p407 :rule trans :premises (@p406 @p281)) % 0.44/0.67 (step @p408 :rule cong :premises (@p407) :args (@t365)) % 0.44/0.67 (step @p409 :rule exists-elim :args ((= @t90 @t365))) % 0.44/0.67 (step @p410 :rule trans :premises (@p409 @p408)) % 0.44/0.67 (step @p411 :rule cong :premises (@p410 @p218) :args (@t91)) % 0.44/0.67 (step @p412 :rule refl :args (@t381)) % 0.44/0.67 (step @p413 :rule aci_norm :args ((= (or @t396 @t395 @t394 @t393 @t392 @t391 @t390 @t389 @t388 @t387 @t386 @t385 @t384 @t383 false @t382) @t397))) % 0.44/0.67 (step @p414 :rule refl :args (@t382)) % 0.44/0.67 (step @p415 :rule eq-refl :args (@t93)) % 0.44/0.67 (step @p416 :rule cong :premises (@p415) :args (@t398)) % 0.44/0.67 (step @p417 :rule trans :premises (@p416 @p29)) % 0.44/0.67 (step @p418 :rule refl :args (@t383)) % 0.44/0.67 (step @p419 :rule refl :args (@t384)) % 0.44/0.67 (step @p420 :rule refl :args (@t385)) % 0.44/0.67 (step @p421 :rule refl :args (@t386)) % 0.44/0.67 (step @p422 :rule refl :args (@t387)) % 0.44/0.67 (step @p423 :rule refl :args (@t388)) % 0.44/0.67 (step @p424 :rule refl :args (@t389)) % 0.44/0.67 (step @p425 :rule eq-symm :args (@t93 @t98)) % 0.44/0.67 (step @p426 :rule refl :args (@t391)) % 0.44/0.67 (step @p427 :rule refl :args (@t392)) % 0.44/0.67 (step @p428 :rule refl :args (@t393)) % 0.44/0.67 (step @p429 :rule refl :args (@t394)) % 0.44/0.67 (step @p430 :rule refl :args (@t395)) % 0.44/0.67 (step @p431 :rule refl :args (@t396)) % 0.44/0.67 (step @p432 :rule nary_cong :premises (@p431 @p430 @p429 @p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p420 @p419 @p418 @p417 @p414) :args (@t399)) % 0.44/0.67 (step @p433 :rule trans :premises (@p432 @p413)) % 0.44/0.67 (step @p434 :rule cong :premises (@p433) :args ((forall @t400 @t399))) % 0.44/0.67 (step @p435 :rule quant-var-elim-eq :args ((= (forall @t407 @t406) @t399))) % 0.44/0.67 (step @p436 :rule aci_norm :args ((= @t408 @t406))) % 0.44/0.67 (step @p437 :rule cong :premises (@p436) :args (@t409)) % 0.44/0.67 (step @p438 :rule trans :premises (@p437 @p435)) % 0.44/0.67 (step @p439 :rule cong :premises (@p438) :args (@t410)) % 0.44/0.67 (step @p440 :rule quant-merge-prenex :args ((= @t410 @t411))) % 0.44/0.67 (step @p441 :rule symm :premises (@p440)) % 0.44/0.67 (step @p442 :rule quant_var_reordering :args ((= (forall @t412 @t408) @t411))) % 0.44/0.67 (step @p443 :rule trans :premises (@p442 @p441 @p439)) % 0.44/0.67 (step @p444 :rule trans :premises (@p443 @p434)) % 0.44/0.67 (step @p445 :rule aci_norm :args ((= (or @t396 @t395 @t394 @t393 @t392 @t391 @t405 @t389 @t388 @t387 @t404 @t403 @t402 false @t383 @t401 @t382) @t408))) % 0.44/0.67 (step @p446 :rule refl :args (@t401)) % 0.44/0.67 (step @p447 :rule eq-refl :args (@t98)) % 0.44/0.67 (step @p448 :rule cong :premises (@p447) :args (@t413)) % 0.44/0.67 (step @p449 :rule trans :premises (@p448 @p29)) % 0.44/0.67 (step @p450 :rule refl :args (@t402)) % 0.44/0.67 (step @p451 :rule refl :args (@t403)) % 0.44/0.67 (step @p452 :rule refl :args (@t404)) % 0.44/0.67 (step @p453 :rule eq-symm :args (@t98 @t95)) % 0.44/0.67 (step @p454 :rule nary_cong :premises (@p431 @p430 @p429 @p428 @p427 @p426 @p453 @p424 @p423 @p422 @p452 @p451 @p450 @p449 @p418 @p446 @p414) :args (@t414)) % 0.44/0.67 (step @p455 :rule trans :premises (@p454 @p445)) % 0.44/0.67 (step @p456 :rule cong :premises (@p455) :args ((forall @t412 @t414))) % 0.44/0.67 (step @p457 :rule trans :premises (@p456 @p444)) % 0.44/0.67 (step @p458 :rule quant-var-elim-eq :args ((= (forall @t420 @t419) @t414))) % 0.44/0.67 (step @p459 :rule aci_norm :args ((= @t421 @t419))) % 0.44/0.67 (step @p460 :rule cong :premises (@p459) :args (@t422)) % 0.44/0.67 (step @p461 :rule trans :premises (@p460 @p458)) % 0.44/0.67 (step @p462 :rule cong :premises (@p461) :args (@t423)) % 0.44/0.67 (step @p463 :rule quant-merge-prenex :args ((= @t423 @t424))) % 0.44/0.67 (step @p464 :rule symm :premises (@p463)) % 0.44/0.67 (step @p465 :rule quant_var_reordering :args ((= @t425 @t424))) % 0.44/0.67 (step @p466 :rule trans :premises (@p465 @p464 @p462)) % 0.44/0.67 (step @p467 :rule trans :premises (@p466 @p457)) % 0.44/0.67 (step @p468 :rule nary_cong :premises (@p467 @p412) :args (@t426)) % 0.44/0.67 (step @p469 :rule quant-miniscope-or :args ((= (forall @t428 @t427) @t426))) % 0.44/0.67 (step @p470 :rule aci_norm :args ((= @t429 @t427))) % 0.44/0.67 (step @p471 :rule cong :premises (@p470) :args (@t430)) % 0.44/0.67 (step @p472 :rule quant_var_reordering :args ((= (forall @t135 @t429) @t430))) % 0.44/0.67 (step @p473 :rule trans :premises (@p472 @p471 @p469)) % 0.44/0.67 (step @p474 :rule trans :premises (@p473 @p468)) % 0.44/0.67 (step @p475 :rule refl :args (@t382)) % 0.44/0.67 (step @p476 :rule refl :args (@t401)) % 0.44/0.67 (step @p477 :rule refl :args (@t383)) % 0.44/0.67 (step @p478 :rule refl :args (@t415)) % 0.44/0.67 (step @p479 :rule refl :args (@t402)) % 0.44/0.67 (step @p480 :rule refl :args (@t403)) % 0.44/0.67 (step @p481 :rule refl :args (@t404)) % 0.44/0.67 (step @p482 :rule refl :args (@t416)) % 0.44/0.67 (step @p483 :rule refl :args (@t417)) % 0.44/0.67 (step @p484 :rule refl :args (@t418)) % 0.44/0.67 (step @p485 :rule bool-double-not-elim :args (@t108)) % 0.44/0.67 (step @p486 :rule refl :args (@t366)) % 0.44/0.67 (step @p487 :rule refl :args (@t367)) % 0.44/0.67 (step @p488 :rule refl :args (@t371)) % 0.44/0.67 (step @p489 :rule refl :args (@t368)) % 0.44/0.67 (step @p490 :rule refl :args (@t369)) % 0.44/0.67 (step @p491 :rule refl :args (@t370)) % 0.44/0.67 (step @p492 :rule refl :args (@t372)) % 0.44/0.67 (step @p493 :rule refl :args (@t373)) % 0.44/0.67 (step @p494 :rule refl :args (@t374)) % 0.44/0.67 (step @p495 :rule refl :args (@t375)) % 0.44/0.67 (step @p496 :rule refl :args (@t376)) % 0.44/0.67 (step @p497 :rule refl :args (@t377)) % 0.44/0.67 (step @p498 :rule refl :args (@t378)) % 0.44/0.67 (step @p499 :rule refl :args (@t379)) % 0.44/0.67 (step @p500 :rule refl :args (@t394)) % 0.44/0.67 (step @p501 :rule refl :args (@t395)) % 0.44/0.67 (step @p502 :rule refl :args (@t396)) % 0.44/0.67 (step @p503 :rule refl :args (@t391)) % 0.44/0.67 (step @p504 :rule refl :args (@t392)) % 0.44/0.67 (step @p505 :rule refl :args (@t393)) % 0.44/0.67 (step @p506 :rule nary_cong :premises (@p505 @p504 @p503 @p502 @p501 @p500 @p499 @p498 @p497 @p496 @p495 @p494 @p493 @p492 @p491 @p490 @p489 @p488 @p487 @p486 @p485 @p484 @p483 @p482 @p481 @p480 @p479 @p478 @p477 @p476 @p475) :args (@t432)) % 0.44/0.67 (step @p507 :rule aci_norm :args ((= (or @t393 (or @t392 (or @t391 (or @t396 (or @t395 (or @t394 (or @t379 (or @t378 (or @t377 (or @t376 (or @t375 (or @t374 (or @t373 (or @t372 (or @t370 (or @t369 (or @t368 (or @t371 (or @t367 (or @t366 (or @t431 (or @t418 (or @t417 (or @t416 (or @t404 (or @t403 (or @t402 (or @t415 (or @t383 (or @t401 @t382)))))))))))))))))))))))))))))) @t432))) % 0.44/0.67 (step @p508 :rule trans :premises (@p507 @p506)) % 0.44/0.67 (step @p509 :rule bool-and-de-morgan :args (@t96 @t94 true)) % 0.44/0.67 (step @p510 :rule nary_cong :premises (@p477 @p509) :args ((or @t383 (not (and @t96 @t94))))) % 0.44/0.67 (step @p511 :rule bool-and-de-morgan :args (@t99 @t96 (and @t94))) % 0.44/0.67 (step @p512 :rule trans :premises (@p511 @p510)) % 0.44/0.67 (step @p513 :rule nary_cong :premises (@p478 @p512) :args ((or @t415 (not (and @t99 @t96 @t94))))) % 0.44/0.67 (step @p514 :rule bool-and-de-morgan :args (@t101 @t99 (and @t96 @t94))) % 0.44/0.67 (step @p515 :rule trans :premises (@p514 @p513)) % 0.44/0.67 (step @p516 :rule nary_cong :premises (@p479 @p515) :args ((or @t402 (not (and @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p517 :rule bool-and-de-morgan :args (@t102 @t101 (and @t99 @t96 @t94))) % 0.44/0.67 (step @p518 :rule trans :premises (@p517 @p516)) % 0.44/0.67 (step @p519 :rule nary_cong :premises (@p480 @p518) :args ((or @t403 (not (and @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p520 :rule bool-and-de-morgan :args (@t103 @t102 (and @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p521 :rule trans :premises (@p520 @p519)) % 0.44/0.67 (step @p522 :rule nary_cong :premises (@p481 @p521) :args ((or @t404 (not (and @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p523 :rule bool-and-de-morgan :args (@t104 @t103 (and @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p524 :rule trans :premises (@p523 @p522)) % 0.44/0.67 (step @p525 :rule nary_cong :premises (@p482 @p524) :args ((or @t416 (not (and @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p526 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p527 :rule trans :premises (@p526 @p525)) % 0.44/0.67 (step @p528 :rule nary_cong :premises (@p483 @p527) :args ((or @t417 (not (and @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p529 :rule bool-and-de-morgan :args (@t106 @t105 (and @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p530 :rule trans :premises (@p529 @p528)) % 0.44/0.67 (step @p531 :rule nary_cong :premises (@p484 @p530) :args ((or @t418 (not (and @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p532 :rule bool-and-de-morgan :args (@t107 @t106 (and @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p533 :rule trans :premises (@p532 @p531)) % 0.44/0.67 (step @p534 :rule refl :args (@t431)) % 0.44/0.67 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t431 (not (and @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p536 :rule bool-and-de-morgan :args (@t109 @t107 (and @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p537 :rule trans :premises (@p536 @p535)) % 0.44/0.67 (step @p538 :rule nary_cong :premises (@p486 @p537) :args ((or @t366 (not (and @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p539 :rule bool-and-de-morgan :args (@t112 @t109 (and @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p540 :rule trans :premises (@p539 @p538)) % 0.44/0.67 (step @p541 :rule nary_cong :premises (@p487 @p540) :args ((or @t367 (not (and @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p542 :rule bool-and-de-morgan :args (@t114 @t112 (and @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p543 :rule trans :premises (@p542 @p541)) % 0.44/0.67 (step @p544 :rule nary_cong :premises (@p488 @p543) :args ((or @t371 (not (and @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p545 :rule bool-and-de-morgan :args (@t116 @t114 (and @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p546 :rule trans :premises (@p545 @p544)) % 0.44/0.67 (step @p547 :rule nary_cong :premises (@p489 @p546) :args ((or @t368 (not (and @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p548 :rule bool-and-de-morgan :args (@t117 @t116 (and @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p549 :rule trans :premises (@p548 @p547)) % 0.44/0.67 (step @p550 :rule nary_cong :premises (@p490 @p549) :args ((or @t369 (not (and @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p551 :rule bool-and-de-morgan :args (@t118 @t117 (and @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p552 :rule trans :premises (@p551 @p550)) % 0.44/0.67 (step @p553 :rule nary_cong :premises (@p491 @p552) :args ((or @t370 (not (and @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p554 :rule bool-and-de-morgan :args (@t119 @t118 (and @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p555 :rule trans :premises (@p554 @p553)) % 0.44/0.67 (step @p556 :rule nary_cong :premises (@p492 @p555) :args ((or @t372 (not (and @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p557 :rule bool-and-de-morgan :args (@t120 @t119 (and @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p558 :rule trans :premises (@p557 @p556)) % 0.44/0.67 (step @p559 :rule nary_cong :premises (@p493 @p558) :args ((or @t373 (not (and @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p560 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p561 :rule trans :premises (@p560 @p559)) % 0.44/0.67 (step @p562 :rule nary_cong :premises (@p494 @p561) :args ((or @t374 (not (and @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p563 :rule bool-and-de-morgan :args (@t122 @t121 (and @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p564 :rule trans :premises (@p563 @p562)) % 0.44/0.67 (step @p565 :rule nary_cong :premises (@p495 @p564) :args ((or @t375 (not (and @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p566 :rule bool-and-de-morgan :args (@t123 @t122 (and @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p567 :rule trans :premises (@p566 @p565)) % 0.44/0.67 (step @p568 :rule nary_cong :premises (@p496 @p567) :args ((or @t376 (not (and @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p569 :rule bool-and-de-morgan :args (@t124 @t123 (and @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p570 :rule trans :premises (@p569 @p568)) % 0.44/0.67 (step @p571 :rule nary_cong :premises (@p497 @p570) :args ((or @t377 (not (and @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p572 :rule bool-and-de-morgan :args (@t125 @t124 (and @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p573 :rule trans :premises (@p572 @p571)) % 0.44/0.67 (step @p574 :rule nary_cong :premises (@p498 @p573) :args ((or @t378 (not (and @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p575 :rule bool-and-de-morgan :args (@t126 @t125 (and @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p576 :rule trans :premises (@p575 @p574)) % 0.44/0.67 (step @p577 :rule nary_cong :premises (@p499 @p576) :args ((or @t379 (not (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p578 :rule bool-and-de-morgan :args (@t127 @t126 (and @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p579 :rule trans :premises (@p578 @p577)) % 0.44/0.67 (step @p580 :rule nary_cong :premises (@p500 @p579) :args ((or @t394 (not (and @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p581 :rule bool-and-de-morgan :args (@t128 @t127 (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p582 :rule trans :premises (@p581 @p580)) % 0.44/0.67 (step @p583 :rule nary_cong :premises (@p501 @p582) :args ((or @t395 (not (and @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p584 :rule bool-and-de-morgan :args (@t129 @t128 (and @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p585 :rule trans :premises (@p584 @p583)) % 0.44/0.67 (step @p586 :rule nary_cong :premises (@p502 @p585) :args ((or @t396 (not (and @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p587 :rule bool-and-de-morgan :args (@t130 @t129 (and @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p588 :rule trans :premises (@p587 @p586)) % 0.44/0.67 (step @p589 :rule nary_cong :premises (@p503 @p588) :args ((or @t391 (not (and @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p590 :rule bool-and-de-morgan :args (@t131 @t130 (and @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p591 :rule trans :premises (@p590 @p589)) % 0.44/0.67 (step @p592 :rule nary_cong :premises (@p504 @p591) :args ((or @t392 (not (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p593 :rule bool-and-de-morgan :args (@t132 @t131 (and @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p594 :rule trans :premises (@p593 @p592)) % 0.44/0.67 (step @p595 :rule nary_cong :premises (@p505 @p594) :args ((or @t393 (not (and @t132 @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))))) % 0.44/0.67 (step @p596 :rule bool-and-de-morgan :args (@t133 @t132 (and @t131 @t130 @t129 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t114 @t112 @t109 @t107 @t106 @t105 @t104 @t103 @t102 @t101 @t99 @t96 @t94))) % 0.44/0.67 (step @p597 :rule trans :premises (@p596 @p595)) % 0.44/0.67 (step @p598 :rule trans :premises (@p597 @p508)) % 0.44/0.67 (step @p599 :rule cong :premises (@p598) :args (@t433)) % 0.44/0.67 (step @p600 :rule trans :premises (@p599 @p474)) % 0.44/0.67 (step @p601 :rule cong :premises (@p600) :args (@t434)) % 0.44/0.67 (step @p602 :rule exists-elim :args ((= @t136 @t434))) % 0.44/0.67 (step @p603 :rule trans :premises (@p602 @p601)) % 0.44/0.67 (step @p604 :rule refl :args (@t292)) % 0.44/0.67 (step @p605 :rule aci_norm :args ((= (or @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188 @t187 @t186 false @t185) @t200))) % 0.44/0.67 (step @p606 :rule refl :args (@t185)) % 0.44/0.67 (step @p607 :rule eq-refl :args (@t138)) % 0.44/0.67 (step @p608 :rule cong :premises (@p607) :args (@t435)) % 0.44/0.67 (step @p609 :rule trans :premises (@p608 @p29)) % 0.44/0.67 (step @p610 :rule refl :args (@t186)) % 0.44/0.67 (step @p611 :rule refl :args (@t187)) % 0.44/0.67 (step @p612 :rule refl :args (@t188)) % 0.44/0.67 (step @p613 :rule refl :args (@t189)) % 0.44/0.67 (step @p614 :rule refl :args (@t190)) % 0.44/0.67 (step @p615 :rule refl :args (@t191)) % 0.44/0.67 (step @p616 :rule refl :args (@t192)) % 0.44/0.67 (step @p617 :rule eq-symm :args (@t138 @t143)) % 0.44/0.67 (step @p618 :rule refl :args (@t194)) % 0.44/0.67 (step @p619 :rule refl :args (@t195)) % 0.44/0.67 (step @p620 :rule refl :args (@t196)) % 0.44/0.67 (step @p621 :rule refl :args (@t197)) % 0.44/0.67 (step @p622 :rule refl :args (@t198)) % 0.44/0.67 (step @p623 :rule refl :args (@t199)) % 0.44/0.67 (step @p624 :rule nary_cong :premises (@p623 @p622 @p621 @p620 @p619 @p618 @p617 @p616 @p615 @p614 @p613 @p612 @p611 @p610 @p609 @p606) :args (@t436)) % 0.44/0.67 (step @p625 :rule trans :premises (@p624 @p605)) % 0.44/0.67 (step @p626 :rule cong :premises (@p625) :args ((forall @t201 @t436))) % 0.44/0.67 (step @p627 :rule quant-var-elim-eq :args ((= (forall @t443 @t442) @t436))) % 0.44/0.67 (step @p628 :rule aci_norm :args ((= @t444 @t442))) % 0.44/0.67 (step @p629 :rule cong :premises (@p628) :args (@t445)) % 0.44/0.67 (step @p630 :rule trans :premises (@p629 @p627)) % 0.44/0.67 (step @p631 :rule cong :premises (@p630) :args (@t446)) % 0.44/0.67 (step @p632 :rule quant-merge-prenex :args ((= @t446 @t447))) % 0.44/0.67 (step @p633 :rule symm :premises (@p632)) % 0.44/0.67 (step @p634 :rule quant_var_reordering :args ((= (forall @t448 @t444) @t447))) % 0.44/0.67 (step @p635 :rule trans :premises (@p634 @p633 @p631)) % 0.44/0.67 (step @p636 :rule trans :premises (@p635 @p626)) % 0.44/0.67 (step @p637 :rule aci_norm :args ((= (or @t199 @t198 @t197 @t196 @t195 @t194 @t441 @t192 @t191 @t190 @t440 @t439 @t438 false @t186 @t437 @t185) @t444))) % 0.44/0.67 (step @p638 :rule refl :args (@t437)) % 0.44/0.67 (step @p639 :rule eq-refl :args (@t143)) % 0.44/0.67 (step @p640 :rule cong :premises (@p639) :args (@t449)) % 0.44/0.67 (step @p641 :rule trans :premises (@p640 @p29)) % 0.44/0.67 (step @p642 :rule refl :args (@t438)) % 0.44/0.67 (step @p643 :rule refl :args (@t439)) % 0.44/0.67 (step @p644 :rule refl :args (@t440)) % 0.44/0.67 (step @p645 :rule eq-symm :args (@t143 @t140)) % 0.44/0.67 (step @p646 :rule nary_cong :premises (@p623 @p622 @p621 @p620 @p619 @p618 @p645 @p616 @p615 @p614 @p644 @p643 @p642 @p641 @p610 @p638 @p606) :args (@t450)) % 0.44/0.67 (step @p647 :rule trans :premises (@p646 @p637)) % 0.44/0.67 (step @p648 :rule cong :premises (@p647) :args ((forall @t448 @t450))) % 0.44/0.67 (step @p649 :rule trans :premises (@p648 @p636)) % 0.44/0.67 (step @p650 :rule quant-var-elim-eq :args ((= (forall @t456 @t455) @t450))) % 0.44/0.67 (step @p651 :rule aci_norm :args ((= @t457 @t455))) % 0.44/0.67 (step @p652 :rule cong :premises (@p651) :args (@t458)) % 0.44/0.67 (step @p653 :rule trans :premises (@p652 @p650)) % 0.44/0.67 (step @p654 :rule cong :premises (@p653) :args (@t459)) % 0.44/0.67 (step @p655 :rule quant-merge-prenex :args ((= @t459 @t460))) % 0.44/0.67 (step @p656 :rule symm :premises (@p655)) % 0.44/0.67 (step @p657 :rule quant_var_reordering :args ((= @t461 @t460))) % 0.44/0.67 (step @p658 :rule trans :premises (@p657 @p656 @p654)) % 0.44/0.67 (step @p659 :rule trans :premises (@p658 @p649)) % 0.44/0.67 (step @p660 :rule nary_cong :premises (@p659 @p604) :args (@t462)) % 0.44/0.67 (step @p661 :rule quant-miniscope-or :args ((= (forall @t464 @t463) @t462))) % 0.44/0.67 (step @p662 :rule aci_norm :args ((= @t465 @t463))) % 0.44/0.67 (step @p663 :rule cong :premises (@p662) :args (@t466)) % 0.44/0.67 (step @p664 :rule quant_var_reordering :args ((= (forall @t180 @t465) @t466))) % 0.44/0.67 (step @p665 :rule trans :premises (@p664 @p663 @p661)) % 0.44/0.67 (step @p666 :rule trans :premises (@p665 @p660)) % 0.44/0.67 (step @p667 :rule refl :args (@t185)) % 0.44/0.67 (step @p668 :rule refl :args (@t437)) % 0.44/0.67 (step @p669 :rule refl :args (@t186)) % 0.44/0.67 (step @p670 :rule refl :args (@t451)) % 0.44/0.67 (step @p671 :rule refl :args (@t438)) % 0.44/0.67 (step @p672 :rule refl :args (@t439)) % 0.44/0.67 (step @p673 :rule refl :args (@t440)) % 0.44/0.67 (step @p674 :rule refl :args (@t452)) % 0.44/0.67 (step @p675 :rule refl :args (@t453)) % 0.44/0.67 (step @p676 :rule refl :args (@t454)) % 0.44/0.67 (step @p677 :rule bool-double-not-elim :args (@t153)) % 0.44/0.67 (step @p678 :rule refl :args (@t277)) % 0.44/0.67 (step @p679 :rule refl :args (@t278)) % 0.44/0.67 (step @p680 :rule refl :args (@t282)) % 0.44/0.67 (step @p681 :rule refl :args (@t283)) % 0.44/0.67 (step @p682 :rule refl :args (@t284)) % 0.44/0.67 (step @p683 :rule refl :args (@t285)) % 0.44/0.67 (step @p684 :rule refl :args (@t286)) % 0.44/0.67 (step @p685 :rule refl :args (@t287)) % 0.44/0.67 (step @p686 :rule refl :args (@t279)) % 0.44/0.67 (step @p687 :rule refl :args (@t280)) % 0.44/0.67 (step @p688 :rule refl :args (@t281)) % 0.44/0.67 (step @p689 :rule refl :args (@t288)) % 0.44/0.67 (step @p690 :rule refl :args (@t289)) % 0.44/0.67 (step @p691 :rule refl :args (@t290)) % 0.44/0.67 (step @p692 :rule refl :args (@t197)) % 0.44/0.67 (step @p693 :rule refl :args (@t198)) % 0.44/0.67 (step @p694 :rule refl :args (@t199)) % 0.44/0.67 (step @p695 :rule refl :args (@t194)) % 0.44/0.67 (step @p696 :rule refl :args (@t195)) % 0.44/0.67 (step @p697 :rule refl :args (@t196)) % 0.44/0.67 (step @p698 :rule nary_cong :premises (@p697 @p696 @p695 @p694 @p693 @p692 @p691 @p690 @p689 @p688 @p687 @p686 @p685 @p684 @p683 @p682 @p681 @p680 @p679 @p678 @p677 @p676 @p675 @p674 @p673 @p672 @p671 @p670 @p669 @p668 @p667) :args (@t468)) % 0.44/0.67 (step @p699 :rule aci_norm :args ((= (or @t196 (or @t195 (or @t194 (or @t199 (or @t198 (or @t197 (or @t290 (or @t289 (or @t288 (or @t281 (or @t280 (or @t279 (or @t287 (or @t286 (or @t285 (or @t284 (or @t283 (or @t282 (or @t278 (or @t277 (or @t467 (or @t454 (or @t453 (or @t452 (or @t440 (or @t439 (or @t438 (or @t451 (or @t186 (or @t437 @t185)))))))))))))))))))))))))))))) @t468))) % 0.44/0.67 (step @p700 :rule trans :premises (@p699 @p698)) % 0.44/0.67 (step @p701 :rule bool-and-de-morgan :args (@t141 @t139 true)) % 0.44/0.67 (step @p702 :rule nary_cong :premises (@p669 @p701) :args ((or @t186 (not (and @t141 @t139))))) % 0.44/0.67 (step @p703 :rule bool-and-de-morgan :args (@t144 @t141 (and @t139))) % 0.44/0.67 (step @p704 :rule trans :premises (@p703 @p702)) % 0.44/0.67 (step @p705 :rule nary_cong :premises (@p670 @p704) :args ((or @t451 (not (and @t144 @t141 @t139))))) % 0.44/0.67 (step @p706 :rule bool-and-de-morgan :args (@t146 @t144 (and @t141 @t139))) % 0.44/0.67 (step @p707 :rule trans :premises (@p706 @p705)) % 0.44/0.67 (step @p708 :rule nary_cong :premises (@p671 @p707) :args ((or @t438 (not (and @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p709 :rule bool-and-de-morgan :args (@t147 @t146 (and @t144 @t141 @t139))) % 0.44/0.67 (step @p710 :rule trans :premises (@p709 @p708)) % 0.44/0.67 (step @p711 :rule nary_cong :premises (@p672 @p710) :args ((or @t439 (not (and @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p712 :rule bool-and-de-morgan :args (@t148 @t147 (and @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p713 :rule trans :premises (@p712 @p711)) % 0.44/0.67 (step @p714 :rule nary_cong :premises (@p673 @p713) :args ((or @t440 (not (and @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p715 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p716 :rule trans :premises (@p715 @p714)) % 0.44/0.67 (step @p717 :rule nary_cong :premises (@p674 @p716) :args ((or @t452 (not (and @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p718 :rule bool-and-de-morgan :args (@t150 @t149 (and @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p719 :rule trans :premises (@p718 @p717)) % 0.44/0.67 (step @p720 :rule nary_cong :premises (@p675 @p719) :args ((or @t453 (not (and @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p721 :rule bool-and-de-morgan :args (@t151 @t150 (and @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p722 :rule trans :premises (@p721 @p720)) % 0.44/0.67 (step @p723 :rule nary_cong :premises (@p676 @p722) :args ((or @t454 (not (and @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p724 :rule bool-and-de-morgan :args (@t152 @t151 (and @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p725 :rule trans :premises (@p724 @p723)) % 0.44/0.67 (step @p726 :rule refl :args (@t467)) % 0.44/0.67 (step @p727 :rule nary_cong :premises (@p726 @p725) :args ((or @t467 (not (and @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p728 :rule bool-and-de-morgan :args (@t154 @t152 (and @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p729 :rule trans :premises (@p728 @p727)) % 0.44/0.67 (step @p730 :rule nary_cong :premises (@p678 @p729) :args ((or @t277 (not (and @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p731 :rule bool-and-de-morgan :args (@t157 @t154 (and @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p732 :rule trans :premises (@p731 @p730)) % 0.44/0.67 (step @p733 :rule nary_cong :premises (@p679 @p732) :args ((or @t278 (not (and @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p734 :rule bool-and-de-morgan :args (@t159 @t157 (and @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p735 :rule trans :premises (@p734 @p733)) % 0.44/0.67 (step @p736 :rule nary_cong :premises (@p680 @p735) :args ((or @t282 (not (and @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p737 :rule bool-and-de-morgan :args (@t161 @t159 (and @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p738 :rule trans :premises (@p737 @p736)) % 0.44/0.67 (step @p739 :rule nary_cong :premises (@p681 @p738) :args ((or @t283 (not (and @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p740 :rule bool-and-de-morgan :args (@t162 @t161 (and @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p741 :rule trans :premises (@p740 @p739)) % 0.44/0.67 (step @p742 :rule nary_cong :premises (@p682 @p741) :args ((or @t284 (not (and @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p743 :rule bool-and-de-morgan :args (@t163 @t162 (and @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p744 :rule trans :premises (@p743 @p742)) % 0.44/0.67 (step @p745 :rule nary_cong :premises (@p683 @p744) :args ((or @t285 (not (and @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p746 :rule bool-and-de-morgan :args (@t164 @t163 (and @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p747 :rule trans :premises (@p746 @p745)) % 0.44/0.67 (step @p748 :rule nary_cong :premises (@p684 @p747) :args ((or @t286 (not (and @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p749 :rule bool-and-de-morgan :args (@t165 @t164 (and @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p750 :rule trans :premises (@p749 @p748)) % 0.44/0.67 (step @p751 :rule nary_cong :premises (@p685 @p750) :args ((or @t287 (not (and @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p752 :rule bool-and-de-morgan :args (@t166 @t165 (and @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p753 :rule trans :premises (@p752 @p751)) % 0.44/0.67 (step @p754 :rule nary_cong :premises (@p686 @p753) :args ((or @t279 (not (and @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p755 :rule bool-and-de-morgan :args (@t167 @t166 (and @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p756 :rule trans :premises (@p755 @p754)) % 0.44/0.67 (step @p757 :rule nary_cong :premises (@p687 @p756) :args ((or @t280 (not (and @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p758 :rule bool-and-de-morgan :args (@t168 @t167 (and @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p759 :rule trans :premises (@p758 @p757)) % 0.44/0.67 (step @p760 :rule nary_cong :premises (@p688 @p759) :args ((or @t281 (not (and @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p761 :rule bool-and-de-morgan :args (@t169 @t168 (and @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p762 :rule trans :premises (@p761 @p760)) % 0.44/0.67 (step @p763 :rule nary_cong :premises (@p689 @p762) :args ((or @t288 (not (and @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p764 :rule bool-and-de-morgan :args (@t170 @t169 (and @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p765 :rule trans :premises (@p764 @p763)) % 0.44/0.67 (step @p766 :rule nary_cong :premises (@p690 @p765) :args ((or @t289 (not (and @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p767 :rule bool-and-de-morgan :args (@t171 @t170 (and @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p768 :rule trans :premises (@p767 @p766)) % 0.44/0.67 (step @p769 :rule nary_cong :premises (@p691 @p768) :args ((or @t290 (not (and @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p770 :rule bool-and-de-morgan :args (@t172 @t171 (and @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p771 :rule trans :premises (@p770 @p769)) % 0.44/0.67 (step @p772 :rule nary_cong :premises (@p692 @p771) :args ((or @t197 (not (and @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p773 :rule bool-and-de-morgan :args (@t173 @t172 (and @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p774 :rule trans :premises (@p773 @p772)) % 0.44/0.67 (step @p775 :rule nary_cong :premises (@p693 @p774) :args ((or @t198 (not (and @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p776 :rule bool-and-de-morgan :args (@t174 @t173 (and @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p777 :rule trans :premises (@p776 @p775)) % 0.44/0.67 (step @p778 :rule nary_cong :premises (@p694 @p777) :args ((or @t199 (not (and @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p779 :rule bool-and-de-morgan :args (@t175 @t174 (and @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p780 :rule trans :premises (@p779 @p778)) % 0.44/0.67 (step @p781 :rule nary_cong :premises (@p695 @p780) :args ((or @t194 (not (and @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p782 :rule bool-and-de-morgan :args (@t176 @t175 (and @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p783 :rule trans :premises (@p782 @p781)) % 0.44/0.67 (step @p784 :rule nary_cong :premises (@p696 @p783) :args ((or @t195 (not (and @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p785 :rule bool-and-de-morgan :args (@t177 @t176 (and @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p786 :rule trans :premises (@p785 @p784)) % 0.44/0.67 (step @p787 :rule nary_cong :premises (@p697 @p786) :args ((or @t196 (not (and @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))))) % 0.44/0.67 (step @p788 :rule bool-and-de-morgan :args (@t178 @t177 (and @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t159 @t157 @t154 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t141 @t139))) % 0.44/0.67 (step @p789 :rule trans :premises (@p788 @p787)) % 0.44/0.67 (step @p790 :rule trans :premises (@p789 @p700)) % 0.44/0.67 (step @p791 :rule cong :premises (@p790) :args (@t469)) % 0.44/0.67 (step @p792 :rule trans :premises (@p791 @p666)) % 0.44/0.67 (step @p793 :rule cong :premises (@p792) :args (@t470)) % 0.44/0.67 (step @p794 :rule exists-elim :args ((= @t181 @t470))) % 0.44/0.67 (step @p795 :rule trans :premises (@p794 @p793)) % 0.44/0.67 (step @p796 :rule cong :premises (@p795 @p603) :args (@t182)) % 0.44/0.67 (step @p797 :rule nary_cong :premises (@p796 @p411) :args (@t183)) % 0.44/0.67 (step @p798 :rule cong :premises (@p797) :args (@t184)) % 0.44/0.67 (step @p799 :rule eq_resolve :premises (@p1 @p798)) % 0.44/0.67 (step @p800 :rule not_and :premises (@p799)) % 0.44/0.67 (step @p801 :rule cnf_implies_neg1 :args (@t476)) % 0.44/0.67 (step @p802 :rule reordering :premises (@p801) :args ((or @t475 @t476))) % 0.44/0.67 (step @p803 :rule bool-double-not-elim :args (@t472)) % 0.44/0.67 (step @p804 :rule refl :args (@t476)) % 0.44/0.67 (step @p805 :rule nary_cong :premises (@p804 @p803) :args ((or @t476 (not @t473)))) % 0.44/0.67 (step @p806 :rule cnf_implies_neg2 :args (@t476)) % 0.44/0.67 (step @p807 :rule eq_resolve :premises (@p806 @p805)) % 0.44/0.67 (step @p808 :rule reordering :premises (@p807) :args ((or @t472 @t476))) % 0.44/0.67 (step @p809 :rule cnf_or_neg :args (@t474 1)) % 0.44/0.67 (step @p810 :rule cnf_or_pos :args (@t472)) % 0.44/0.67 (step @p811 :rule reordering :premises (@p810) :args ((or @t381 @t471 @t473))) % 0.44/0.67 (step @p812 :rule quant_var_reordering :args ((= (forall (@list @t110 @t111 @t113 @t115) @t380) @t381))) % 0.44/0.67 (step @p813 :rule alpha_equiv :args (@t292 @t293 (@list @t111 @t110 @t115 @t113))) % 0.44/0.67 (step @p814 :rule trans :premises (@p813 @p812)) % 0.44/0.67 (step @p815 :rule equiv_elim2 :premises (@p814)) % 0.44/0.67 (step @p816 :rule chain_m_resolution :premises (@p815 @p811 @p809 @p808 @p802 @p800 @p25 @p6 @p4) :args (@t202 (@list false true false true true false true true) (@list @t381 @t292 @t472 @t474 @t476 @t276 @t237 @t471))) % 0.44/0.67 (step @p817 :rule alpha_equiv :args (@t202 @t203 (@list @t52 @t47 @t51 @t46))) % 0.44/0.67 (step @p818 :rule equiv_elim1 :premises (@p817)) % 0.44/0.67 (step @p819 :rule reordering :premises (@p818) :args ((or @t273 (not @t202)))) % 0.44/0.67 (step @p820 :rule chain_m_resolution :premises (@p819 @p816) :args (@t273 @t477 @t478)) % 0.44/0.67 (step @p821 :rule cnf_or_neg :args (@t274 0)) % 0.44/0.67 (step @p822 :rule chain_m_resolution :premises (@p821 @p820) :args (@t274 @t477 (@list @t273))) % 0.44/0.67 (step @p823 :rule cnf_or_neg :args (@t474 0)) % 0.44/0.67 (step @p824 :rule chain_m_resolution :premises (@p823 @p816) :args (@t474 @t477 @t478)) % 0.44/0.67 (step @p825 :rule chain_m_resolution :premises (@p802 @p824) :args (@t476 @t477 (@list @t474))) % 0.44/0.67 (step @p826 :rule chain_m_resolution :premises (@p800 @p825) :args ((not @t276) @t477 (@list @t476))) % 0.44/0.67 (step @p827 false :rule chain_m_resolution :premises (@p8 @p826 @p822) :args (false (@list true false) (@list @t276 @t274))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------