%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL950_17 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:14 AM UTC 2026 % Result : Theorem 3.33s 3.69s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL950_17 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n026.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 17:19:56 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 3.33/3.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.33/3.69 % SZS status Theorem % 3.33/3.69 % SZS output start Proof % 3.33/3.69 ( % 3.33/3.69 (declare-sort |tptp.'$ki_world'| 0) % 3.33/3.69 (declare-sort $$unsorted 0) % 3.33/3.69 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 3.33/3.69 (declare-const tptp.member (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 3.33/3.69 (declare-const tptp.intersect (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 3.33/3.69 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 3.33/3.69 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 3.33/3.69 (define @t1 () (@var "V" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t2 () (@var "W" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t3 () (forall (@list @t2 @t1) (|tptp.'$ki_accessible'| @t2 @t1))) % 3.33/3.69 (define @t4 () (@var "X" $$unsorted)) % 3.33/3.69 (define @t5 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t4)) % 3.33/3.69 (define @t6 () (@list @t2)) % 3.33/3.69 (define @t7 () (@var "C" $$unsorted)) % 3.33/3.69 (define @t8 () (@var "B" $$unsorted)) % 3.33/3.69 (define @t9 () (@var "W2" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t10 () (tptp.intersect @t9 @t8 @t7)) % 3.33/3.69 (define @t11 () (@var "W1" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t12 () (|tptp.'$ki_accessible'| @t11 @t9)) % 3.33/3.69 (define @t13 () (@list @t9)) % 3.33/3.69 (define @t14 () (forall @t13 (=> @t12 @t10))) % 3.33/3.69 (define @t15 () (@var "D" $$unsorted)) % 3.33/3.69 (define @t16 () (tptp.member @t9 @t15 @t7)) % 3.33/3.69 (define @t17 () (forall @t13 (=> @t12 @t16))) % 3.33/3.69 (define @t18 () (tptp.member @t9 @t15 @t8)) % 3.33/3.69 (define @t19 () (forall @t13 (=> @t12 @t18))) % 3.33/3.69 (define @t20 () (|tptp.'$ki_exists_in_world_$i'| @t11 @t15)) % 3.33/3.69 (define @t21 () (and @t20 @t19 @t17)) % 3.33/3.69 (define @t22 () (@list @t15)) % 3.33/3.69 (define @t23 () (exists @t22 @t21)) % 3.33/3.69 (define @t24 () (=> @t23 @t14)) % 3.33/3.69 (define @t25 () (@var "W0" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t26 () (|tptp.'$ki_accessible'| @t25 @t11)) % 3.33/3.69 (define @t27 () (=> @t26 @t24)) % 3.33/3.69 (define @t28 () (@list @t11)) % 3.33/3.69 (define @t29 () (forall @t28 @t27)) % 3.33/3.69 (define @t30 () (=> @t14 @t23)) % 3.33/3.69 (define @t31 () (=> @t26 @t30)) % 3.33/3.69 (define @t32 () (forall @t28 @t31)) % 3.33/3.69 (define @t33 () (and @t32 @t29)) % 3.33/3.69 (define @t34 () (|tptp.'$ki_exists_in_world_$i'| @t25 @t7)) % 3.33/3.69 (define @t35 () (=> @t34 @t33)) % 3.33/3.69 (define @t36 () (@list @t7)) % 3.33/3.69 (define @t37 () (forall @t36 @t35)) % 3.33/3.69 (define @t38 () (|tptp.'$ki_accessible'| @t2 @t25)) % 3.33/3.69 (define @t39 () (=> @t38 @t37)) % 3.33/3.69 (define @t40 () (@list @t25)) % 3.33/3.69 (define @t41 () (forall @t40 @t39)) % 3.33/3.69 (define @t42 () (|tptp.'$ki_exists_in_world_$i'| @t2 @t8)) % 3.33/3.69 (define @t43 () (=> @t42 @t41)) % 3.33/3.69 (define @t44 () (@list @t8)) % 3.33/3.69 (define @t45 () (forall @t44 @t43)) % 3.33/3.69 (define @t46 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t2)) % 3.33/3.69 (define @t47 () (=> @t46 @t45)) % 3.33/3.69 (define @t48 () (forall @t6 @t47)) % 3.33/3.69 (define @t49 () (@var "W3" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t50 () (tptp.intersect @t49 @t7 @t15)) % 3.33/3.69 (define @t51 () (|tptp.'$ki_accessible'| @t9 @t49)) % 3.33/3.69 (define @t52 () (@list @t49)) % 3.33/3.69 (define @t53 () (forall @t52 (=> @t51 @t50))) % 3.33/3.69 (define @t54 () (tptp.member @t49 @t8 @t15)) % 3.33/3.69 (define @t55 () (forall @t52 (=> @t51 @t54))) % 3.33/3.69 (define @t56 () (tptp.member @t49 @t8 @t7)) % 3.33/3.69 (define @t57 () (forall @t52 (=> @t51 @t56))) % 3.33/3.69 (define @t58 () (and @t57 @t55)) % 3.33/3.69 (define @t59 () (=> @t58 @t53)) % 3.33/3.69 (define @t60 () (=> @t12 @t59)) % 3.33/3.69 (define @t61 () (forall @t13 @t60)) % 3.33/3.69 (define @t62 () (=> @t20 @t61)) % 3.33/3.69 (define @t63 () (forall @t22 @t62)) % 3.33/3.69 (define @t64 () (=> @t26 @t63)) % 3.33/3.69 (define @t65 () (forall @t28 @t64)) % 3.33/3.69 (define @t66 () (=> @t34 @t65)) % 3.33/3.69 (define @t67 () (forall @t36 @t66)) % 3.33/3.69 (define @t68 () (=> @t38 @t67)) % 3.33/3.69 (define @t69 () (forall @t40 @t68)) % 3.33/3.69 (define @t70 () (=> @t42 @t69)) % 3.33/3.69 (define @t71 () (forall @t44 @t70)) % 3.33/3.69 (define @t72 () (=> @t46 @t71)) % 3.33/3.69 (define @t73 () (forall @t6 @t72)) % 3.33/3.69 (define @t74 () (not @t73)) % 3.33/3.69 (define @t75 () (@var "BOUND_VARIABLE_8201" $$unsorted)) % 3.33/3.69 (define @t76 () (@var "BOUND_VARIABLE_8197" $$unsorted)) % 3.33/3.69 (define @t77 () (@var "BOUND_VARIABLE_8205" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t78 () (tptp.intersect @t77 @t76 @t75)) % 3.33/3.69 (define @t79 () (@var "BOUND_VARIABLE_8203" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t80 () (not (|tptp.'$ki_accessible'| @t79 @t77))) % 3.33/3.69 (define @t81 () (@var "BOUND_VARIABLE_8193" $$unsorted)) % 3.33/3.69 (define @t82 () (not (|tptp.'$ki_accessible'| @t79 @t49))) % 3.33/3.69 (define @t83 () (not (forall @t52 (or @t82 (tptp.member @t49 @t81 @t75))))) % 3.33/3.69 (define @t84 () (not (forall @t52 (or @t82 (tptp.member @t49 @t81 @t76))))) % 3.33/3.69 (define @t85 () (@var "BOUND_VARIABLE_8199" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t86 () (not (|tptp.'$ki_accessible'| @t85 @t79))) % 3.33/3.69 (define @t87 () (not (|tptp.'$ki_exists_in_world_$i'| @t85 @t75))) % 3.33/3.69 (define @t88 () (@var "BOUND_VARIABLE_8195" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t89 () (not (|tptp.'$ki_accessible'| @t88 @t85))) % 3.33/3.69 (define @t90 () (not (|tptp.'$ki_exists_in_world_$i'| @t88 @t76))) % 3.33/3.69 (define @t91 () (not (|tptp.'$ki_accessible'| @t2 @t88))) % 3.33/3.69 (define @t92 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t81))) % 3.33/3.69 (define @t93 () (not @t46)) % 3.33/3.69 (define @t94 () (or @t93 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t80 @t78)) % 3.33/3.69 (define @t95 () (or @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t80 @t78)) % 3.33/3.69 (define @t96 () (or @t93 @t95)) % 3.33/3.69 (define @t97 () (@list @t2 @t81 @t88 @t76 @t85 @t75 @t79 @t77)) % 3.33/3.69 (define @t98 () (forall @t97 @t96)) % 3.33/3.69 (define @t99 () (@list @t81 @t88 @t76 @t85 @t75 @t79 @t77)) % 3.33/3.69 (define @t100 () (forall @t99 @t96)) % 3.33/3.69 (define @t101 () (forall @t99 @t95)) % 3.33/3.69 (define @t102 () (@var "BOUND_VARIABLE_8158" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t103 () (@var "BOUND_VARIABLE_8156" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t104 () (@var "BOUND_VARIABLE_8154" $$unsorted)) % 3.33/3.69 (define @t105 () (@var "BOUND_VARIABLE_8152" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t106 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 3.33/3.69 (define @t107 () (@var "BOUND_VARIABLE_8148" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t108 () (or @t93 @t101)) % 3.33/3.69 (define @t109 () (tptp.intersect @t102 @t106 @t104)) % 3.33/3.69 (define @t110 () (not (|tptp.'$ki_accessible'| @t103 @t102))) % 3.33/3.69 (define @t111 () (not (|tptp.'$ki_accessible'| @t103 @t49))) % 3.33/3.69 (define @t112 () (not (forall @t52 (or @t111 (tptp.member @t49 @t8 @t104))))) % 3.33/3.69 (define @t113 () (not (forall @t52 (or @t111 (tptp.member @t49 @t8 @t106))))) % 3.33/3.69 (define @t114 () (not (|tptp.'$ki_accessible'| @t105 @t103))) % 3.33/3.69 (define @t115 () (not (|tptp.'$ki_exists_in_world_$i'| @t105 @t104))) % 3.33/3.69 (define @t116 () (not (|tptp.'$ki_accessible'| @t107 @t105))) % 3.33/3.69 (define @t117 () (not (|tptp.'$ki_exists_in_world_$i'| @t107 @t106))) % 3.33/3.69 (define @t118 () (not (|tptp.'$ki_accessible'| @t2 @t107))) % 3.33/3.69 (define @t119 () (not @t42)) % 3.33/3.69 (define @t120 () (or @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t110 @t109)) % 3.33/3.69 (define @t121 () (@list @t8 @t107 @t106 @t105 @t104 @t103 @t102)) % 3.33/3.69 (define @t122 () (forall @t121 @t120)) % 3.33/3.69 (define @t123 () (or @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t110 @t109)) % 3.33/3.69 (define @t124 () (or @t119 @t123)) % 3.33/3.69 (define @t125 () (forall @t121 @t124)) % 3.33/3.69 (define @t126 () (@list @t107 @t106 @t105 @t104 @t103 @t102)) % 3.33/3.69 (define @t127 () (forall @t126 @t124)) % 3.33/3.69 (define @t128 () (forall @t126 @t123)) % 3.33/3.69 (define @t129 () (@var "BOUND_VARIABLE_8115" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t130 () (@var "BOUND_VARIABLE_8113" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t131 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 3.33/3.69 (define @t132 () (@var "BOUND_VARIABLE_8109" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t133 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 3.33/3.69 (define @t134 () (or @t119 @t128)) % 3.33/3.69 (define @t135 () (tptp.intersect @t129 @t133 @t131)) % 3.33/3.69 (define @t136 () (not (|tptp.'$ki_accessible'| @t130 @t129))) % 3.33/3.69 (define @t137 () (not (|tptp.'$ki_accessible'| @t130 @t49))) % 3.33/3.69 (define @t138 () (not (forall @t52 (or @t137 (tptp.member @t49 @t8 @t131))))) % 3.33/3.69 (define @t139 () (not (forall @t52 (or @t137 (tptp.member @t49 @t8 @t133))))) % 3.33/3.69 (define @t140 () (not (|tptp.'$ki_accessible'| @t132 @t130))) % 3.33/3.69 (define @t141 () (not (|tptp.'$ki_exists_in_world_$i'| @t132 @t131))) % 3.33/3.69 (define @t142 () (not (|tptp.'$ki_accessible'| @t25 @t132))) % 3.33/3.69 (define @t143 () (not (|tptp.'$ki_exists_in_world_$i'| @t25 @t133))) % 3.33/3.69 (define @t144 () (not @t38)) % 3.33/3.69 (define @t145 () (or @t144 @t143 @t142 @t141 @t140 @t139 @t138 @t136 @t135)) % 3.33/3.69 (define @t146 () (@list @t25 @t133 @t132 @t131 @t130 @t129)) % 3.33/3.69 (define @t147 () (forall @t146 @t145)) % 3.33/3.69 (define @t148 () (or @t143 @t142 @t141 @t140 @t139 @t138 @t136 @t135)) % 3.33/3.69 (define @t149 () (or @t144 @t148)) % 3.33/3.69 (define @t150 () (forall @t146 @t149)) % 3.33/3.69 (define @t151 () (@list @t133 @t132 @t131 @t130 @t129)) % 3.33/3.69 (define @t152 () (forall @t151 @t149)) % 3.33/3.69 (define @t153 () (forall @t151 @t148)) % 3.33/3.69 (define @t154 () (@var "BOUND_VARIABLE_8077" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t155 () (@var "BOUND_VARIABLE_8075" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t156 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 3.33/3.69 (define @t157 () (@var "BOUND_VARIABLE_8071" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t158 () (or @t144 @t153)) % 3.33/3.69 (define @t159 () (tptp.intersect @t154 @t7 @t156)) % 3.33/3.69 (define @t160 () (not (|tptp.'$ki_accessible'| @t155 @t154))) % 3.33/3.69 (define @t161 () (not (|tptp.'$ki_accessible'| @t155 @t49))) % 3.33/3.69 (define @t162 () (not (forall @t52 (or @t161 (tptp.member @t49 @t8 @t156))))) % 3.33/3.69 (define @t163 () (not (forall @t52 (or @t161 @t56)))) % 3.33/3.69 (define @t164 () (not (|tptp.'$ki_accessible'| @t157 @t155))) % 3.33/3.69 (define @t165 () (not (|tptp.'$ki_exists_in_world_$i'| @t157 @t156))) % 3.33/3.69 (define @t166 () (not (|tptp.'$ki_accessible'| @t25 @t157))) % 3.33/3.69 (define @t167 () (not @t34)) % 3.33/3.69 (define @t168 () (or @t167 @t166 @t165 @t164 @t163 @t162 @t160 @t159)) % 3.33/3.69 (define @t169 () (@list @t7 @t157 @t156 @t155 @t154)) % 3.33/3.69 (define @t170 () (forall @t169 @t168)) % 3.33/3.69 (define @t171 () (or @t166 @t165 @t164 @t163 @t162 @t160 @t159)) % 3.33/3.69 (define @t172 () (or @t167 @t171)) % 3.33/3.69 (define @t173 () (forall @t169 @t172)) % 3.33/3.69 (define @t174 () (@list @t157 @t156 @t155 @t154)) % 3.33/3.69 (define @t175 () (forall @t174 @t172)) % 3.33/3.69 (define @t176 () (forall @t174 @t171)) % 3.33/3.69 (define @t177 () (@var "BOUND_VARIABLE_8043" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t178 () (@var "BOUND_VARIABLE_8041" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t179 () (@var "BOUND_VARIABLE_8039" $$unsorted)) % 3.33/3.69 (define @t180 () (or @t167 @t176)) % 3.33/3.69 (define @t181 () (tptp.intersect @t177 @t7 @t179)) % 3.33/3.69 (define @t182 () (not (|tptp.'$ki_accessible'| @t178 @t177))) % 3.33/3.69 (define @t183 () (not (|tptp.'$ki_accessible'| @t178 @t49))) % 3.33/3.69 (define @t184 () (not (forall @t52 (or @t183 (tptp.member @t49 @t8 @t179))))) % 3.33/3.69 (define @t185 () (not (forall @t52 (or @t183 @t56)))) % 3.33/3.69 (define @t186 () (not (|tptp.'$ki_accessible'| @t11 @t178))) % 3.33/3.69 (define @t187 () (not (|tptp.'$ki_exists_in_world_$i'| @t11 @t179))) % 3.33/3.69 (define @t188 () (not @t26)) % 3.33/3.69 (define @t189 () (or @t188 @t187 @t186 @t185 @t184 @t182 @t181)) % 3.33/3.69 (define @t190 () (@list @t11 @t179 @t178 @t177)) % 3.33/3.69 (define @t191 () (forall @t190 @t189)) % 3.33/3.69 (define @t192 () (or @t187 @t186 @t185 @t184 @t182 @t181)) % 3.33/3.69 (define @t193 () (or @t188 @t192)) % 3.33/3.69 (define @t194 () (forall @t190 @t193)) % 3.33/3.69 (define @t195 () (@list @t179 @t178 @t177)) % 3.33/3.69 (define @t196 () (forall @t195 @t193)) % 3.33/3.69 (define @t197 () (forall @t195 @t192)) % 3.33/3.69 (define @t198 () (@var "BOUND_VARIABLE_8014" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t199 () (@var "BOUND_VARIABLE_8012" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t200 () (or @t188 @t197)) % 3.33/3.69 (define @t201 () (tptp.intersect @t198 @t7 @t15)) % 3.33/3.69 (define @t202 () (not (|tptp.'$ki_accessible'| @t199 @t198))) % 3.33/3.69 (define @t203 () (not (|tptp.'$ki_accessible'| @t199 @t49))) % 3.33/3.69 (define @t204 () (not (forall @t52 (or @t203 @t54)))) % 3.33/3.69 (define @t205 () (not (forall @t52 (or @t203 @t56)))) % 3.33/3.69 (define @t206 () (not (|tptp.'$ki_accessible'| @t11 @t199))) % 3.33/3.69 (define @t207 () (not @t20)) % 3.33/3.69 (define @t208 () (or @t207 @t206 @t205 @t204 @t202 @t201)) % 3.33/3.69 (define @t209 () (@list @t15 @t199 @t198)) % 3.33/3.69 (define @t210 () (forall @t209 @t208)) % 3.33/3.69 (define @t211 () (or @t206 @t205 @t204 @t202 @t201)) % 3.33/3.69 (define @t212 () (or @t207 @t211)) % 3.33/3.69 (define @t213 () (forall @t209 @t212)) % 3.33/3.69 (define @t214 () (@list @t199 @t198)) % 3.33/3.69 (define @t215 () (forall @t214 @t212)) % 3.33/3.69 (define @t216 () (forall @t214 @t211)) % 3.33/3.69 (define @t217 () (@var "BOUND_VARIABLE_7997" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t218 () (or @t207 @t216)) % 3.33/3.69 (define @t219 () (tptp.intersect @t217 @t7 @t15)) % 3.33/3.69 (define @t220 () (not (|tptp.'$ki_accessible'| @t9 @t217))) % 3.33/3.69 (define @t221 () (not @t51)) % 3.33/3.69 (define @t222 () (forall @t52 (or @t221 @t54))) % 3.33/3.69 (define @t223 () (not @t222)) % 3.33/3.69 (define @t224 () (forall @t52 (or @t221 @t56))) % 3.33/3.69 (define @t225 () (not @t224)) % 3.33/3.69 (define @t226 () (not @t12)) % 3.33/3.69 (define @t227 () (or @t226 @t225 @t223 @t220 @t219)) % 3.33/3.69 (define @t228 () (@list @t9 @t217)) % 3.33/3.69 (define @t229 () (forall @t228 @t227)) % 3.33/3.69 (define @t230 () (or @t220 @t219)) % 3.33/3.69 (define @t231 () (or @t226 @t225 @t223 @t230)) % 3.33/3.69 (define @t232 () (forall @t228 @t231)) % 3.33/3.69 (define @t233 () (@list @t217)) % 3.33/3.69 (define @t234 () (forall @t233 @t231)) % 3.33/3.69 (define @t235 () (forall @t233 @t230)) % 3.33/3.69 (define @t236 () (or @t226 @t225 @t223 @t235)) % 3.33/3.69 (define @t237 () (forall @t52 (or @t221 @t50))) % 3.33/3.69 (define @t238 () (or @t226 @t225 @t223 @t237)) % 3.33/3.69 (define @t239 () (or @t225 @t223 @t237)) % 3.33/3.69 (define @t240 () (and @t224 @t222)) % 3.33/3.69 (define @t241 () (=> @t240 @t237)) % 3.33/3.69 (define @t242 () (forall @t97 @t94)) % 3.33/3.69 (define @t243 () (@quantifiers_skolemize @t242 5)) % 3.33/3.69 (define @t244 () (@quantifiers_skolemize @t242 1)) % 3.33/3.69 (define @t245 () (@quantifiers_skolemize @t242 6)) % 3.33/3.69 (define @t246 () (not (|tptp.'$ki_accessible'| @t245 @t49))) % 3.33/3.69 (define @t247 () (forall @t52 (or @t246 (tptp.member @t49 @t244 @t243)))) % 3.33/3.69 (define @t248 () (@quantifiers_skolemize @t242 3)) % 3.33/3.69 (define @t249 () (@quantifiers_skolemize @t242 7)) % 3.33/3.69 (define @t250 () (tptp.intersect @t249 @t248 @t243)) % 3.33/3.69 (define @t251 () (not @t247)) % 3.33/3.69 (define @t252 () (forall @t52 (or @t246 (tptp.member @t49 @t244 @t248)))) % 3.33/3.69 (define @t253 () (not @t252)) % 3.33/3.69 (define @t254 () (@quantifiers_skolemize @t242 4)) % 3.33/3.69 (define @t255 () (@quantifiers_skolemize @t242 2)) % 3.33/3.69 (define @t256 () (|tptp.'$ki_exists_in_world_$i'| @t255 @t248)) % 3.33/3.69 (define @t257 () (not @t256)) % 3.33/3.69 (define @t258 () (@quantifiers_skolemize @t242 0)) % 3.33/3.69 (define @t259 () (|tptp.'$ki_exists_in_world_$i'| @t258 @t244)) % 3.33/3.69 (define @t260 () (not @t259)) % 3.33/3.69 (define @t261 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t258)) % 3.33/3.69 (define @t262 () (not @t261)) % 3.33/3.69 (define @t263 () (or @t262 @t260 (not (|tptp.'$ki_accessible'| @t258 @t255)) @t257 (not (|tptp.'$ki_accessible'| @t255 @t254)) (not (|tptp.'$ki_exists_in_world_$i'| @t254 @t243)) (not (|tptp.'$ki_accessible'| @t254 @t245)) @t253 @t251 (not (|tptp.'$ki_accessible'| @t245 @t249)) @t250)) % 3.33/3.69 (define @t264 () (@list true)) % 3.33/3.69 (define @t265 () (@list @t263)) % 3.33/3.69 (define @t266 () (not (|tptp.'$ki_accessible'| @t258 @t9))) % 3.33/3.69 (define @t267 () (forall @t13 (or @t266 (tptp.member @t9 @t244 @t243)))) % 3.33/3.69 (define @t268 () (@quantifiers_skolemize @t267 0)) % 3.33/3.69 (define @t269 () (@var "BOUND_VARIABLE_7772" $$unsorted)) % 3.33/3.69 (define @t270 () (@var "BOUND_VARIABLE_7768" $$unsorted)) % 3.33/3.69 (define @t271 () (@var "BOUND_VARIABLE_7780" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t272 () (@var "BOUND_VARIABLE_7776" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t273 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 3.33/3.69 (define @t274 () (not (|tptp.'$ki_accessible'| @t272 @t9))) % 3.33/3.69 (define @t275 () (@var "BOUND_VARIABLE_7770" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t276 () (@var "BOUND_VARIABLE_7774" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t277 () (not (|tptp.'$ki_accessible'| @t276 @t9))) % 3.33/3.69 (define @t278 () (and (or (not (|tptp.'$ki_accessible'| @t275 @t276)) (not (forall @t13 (or @t277 (tptp.intersect @t9 @t270 @t269)))) (not (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| @t276 @t15)) (not (forall @t13 (or @t277 (tptp.member @t9 @t15 @t270)))) (not (forall @t13 (or @t277 (tptp.member @t9 @t15 @t269)))))))) (or (not (|tptp.'$ki_accessible'| @t275 @t272)) (not (|tptp.'$ki_exists_in_world_$i'| @t272 @t273)) (not (forall @t13 (or @t274 (tptp.member @t9 @t273 @t270)))) (not (forall @t13 (or @t274 (tptp.member @t9 @t273 @t269)))) (not (|tptp.'$ki_accessible'| @t272 @t271)) (tptp.intersect @t271 @t270 @t269)))) % 3.33/3.69 (define @t279 () (not (|tptp.'$ki_exists_in_world_$i'| @t275 @t269))) % 3.33/3.69 (define @t280 () (not (|tptp.'$ki_accessible'| @t2 @t275))) % 3.33/3.69 (define @t281 () (not (|tptp.'$ki_exists_in_world_$i'| @t2 @t270))) % 3.33/3.69 (define @t282 () (or @t281 @t280 @t279 @t278)) % 3.33/3.69 (define @t283 () (or @t93 @t282)) % 3.33/3.69 (define @t284 () (forall (@list @t2 @t270 @t275 @t269 @t276 @t272 @t273 @t271) @t283)) % 3.33/3.69 (define @t285 () (@list @t270 @t275 @t269 @t276 @t272 @t273 @t271)) % 3.33/3.69 (define @t286 () (forall @t285 @t283)) % 3.33/3.69 (define @t287 () (forall @t285 @t282)) % 3.33/3.69 (define @t288 () (@var "BOUND_VARIABLE_7711" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t289 () (@var "BOUND_VARIABLE_7709" $$unsorted)) % 3.33/3.69 (define @t290 () (@var "BOUND_VARIABLE_7707" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t291 () (@var "BOUND_VARIABLE_7705" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t292 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 3.33/3.69 (define @t293 () (@var "BOUND_VARIABLE_7701" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t294 () (or @t93 @t287)) % 3.33/3.69 (define @t295 () (not (|tptp.'$ki_accessible'| @t290 @t9))) % 3.33/3.69 (define @t296 () (not (|tptp.'$ki_accessible'| @t291 @t9))) % 3.33/3.69 (define @t297 () (and (or (not (|tptp.'$ki_accessible'| @t293 @t291)) (not (forall @t13 (or @t296 (tptp.intersect @t9 @t8 @t292)))) (not (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| @t291 @t15)) (not (forall @t13 (or @t296 @t18))) (not (forall @t13 (or @t296 (tptp.member @t9 @t15 @t292)))))))) (or (not (|tptp.'$ki_accessible'| @t293 @t290)) (not (|tptp.'$ki_exists_in_world_$i'| @t290 @t289)) (not (forall @t13 (or @t295 (tptp.member @t9 @t289 @t8)))) (not (forall @t13 (or @t295 (tptp.member @t9 @t289 @t292)))) (not (|tptp.'$ki_accessible'| @t290 @t288)) (tptp.intersect @t288 @t8 @t292)))) % 3.33/3.69 (define @t298 () (not (|tptp.'$ki_exists_in_world_$i'| @t293 @t292))) % 3.33/3.69 (define @t299 () (not (|tptp.'$ki_accessible'| @t2 @t293))) % 3.33/3.69 (define @t300 () (or @t119 @t299 @t298 @t297)) % 3.33/3.69 (define @t301 () (@list @t8 @t293 @t292 @t291 @t290 @t289 @t288)) % 3.33/3.69 (define @t302 () (forall @t301 @t300)) % 3.33/3.69 (define @t303 () (or @t299 @t298 @t297)) % 3.33/3.69 (define @t304 () (or @t119 @t303)) % 3.33/3.69 (define @t305 () (forall @t301 @t304)) % 3.33/3.69 (define @t306 () (@list @t293 @t292 @t291 @t290 @t289 @t288)) % 3.33/3.69 (define @t307 () (forall @t306 @t304)) % 3.33/3.69 (define @t308 () (forall @t306 @t303)) % 3.33/3.69 (define @t309 () (@var "BOUND_VARIABLE_7646" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t310 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 3.33/3.69 (define @t311 () (@var "BOUND_VARIABLE_7642" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t312 () (@var "BOUND_VARIABLE_7640" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t313 () (@var "BOUND_VARIABLE_7638" $$unsorted)) % 3.33/3.69 (define @t314 () (or @t119 @t308)) % 3.33/3.69 (define @t315 () (not (|tptp.'$ki_accessible'| @t311 @t9))) % 3.33/3.69 (define @t316 () (not (|tptp.'$ki_accessible'| @t312 @t9))) % 3.33/3.69 (define @t317 () (and (or (not (|tptp.'$ki_accessible'| @t25 @t312)) (not (forall @t13 (or @t316 (tptp.intersect @t9 @t8 @t313)))) (not (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| @t312 @t15)) (not (forall @t13 (or @t316 @t18))) (not (forall @t13 (or @t316 (tptp.member @t9 @t15 @t313)))))))) (or (not (|tptp.'$ki_accessible'| @t25 @t311)) (not (|tptp.'$ki_exists_in_world_$i'| @t311 @t310)) (not (forall @t13 (or @t315 (tptp.member @t9 @t310 @t8)))) (not (forall @t13 (or @t315 (tptp.member @t9 @t310 @t313)))) (not (|tptp.'$ki_accessible'| @t311 @t309)) (tptp.intersect @t309 @t8 @t313)))) % 3.33/3.69 (define @t318 () (not (|tptp.'$ki_exists_in_world_$i'| @t25 @t313))) % 3.33/3.69 (define @t319 () (or @t144 @t318 @t317)) % 3.33/3.69 (define @t320 () (@list @t25 @t313 @t312 @t311 @t310 @t309)) % 3.33/3.69 (define @t321 () (forall @t320 @t319)) % 3.33/3.69 (define @t322 () (or @t318 @t317)) % 3.33/3.69 (define @t323 () (or @t144 @t322)) % 3.33/3.69 (define @t324 () (forall @t320 @t323)) % 3.33/3.69 (define @t325 () (@list @t313 @t312 @t311 @t310 @t309)) % 3.33/3.69 (define @t326 () (forall @t325 @t323)) % 3.33/3.69 (define @t327 () (forall @t325 @t322)) % 3.33/3.69 (define @t328 () (@var "BOUND_VARIABLE_7609" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t329 () (@var "BOUND_VARIABLE_7607" $$unsorted)) % 3.33/3.69 (define @t330 () (@var "BOUND_VARIABLE_7605" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t331 () (@var "BOUND_VARIABLE_7584" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t332 () (or @t144 @t327)) % 3.33/3.69 (define @t333 () (not (|tptp.'$ki_accessible'| @t330 @t9))) % 3.33/3.69 (define @t334 () (or (not (|tptp.'$ki_accessible'| @t25 @t330)) (not (|tptp.'$ki_exists_in_world_$i'| @t330 @t329)) (not (forall @t13 (or @t333 (tptp.member @t9 @t329 @t8)))) (not (forall @t13 (or @t333 (tptp.member @t9 @t329 @t7)))) (not (|tptp.'$ki_accessible'| @t330 @t328)) (tptp.intersect @t328 @t8 @t7))) % 3.33/3.69 (define @t335 () (not (|tptp.'$ki_accessible'| @t331 @t9))) % 3.33/3.69 (define @t336 () (or (not (|tptp.'$ki_accessible'| @t25 @t331)) (not (forall @t13 (or @t335 @t10))) (not (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| @t331 @t15)) (not (forall @t13 (or @t335 @t18))) (not (forall @t13 (or @t335 @t16)))))))) % 3.33/3.69 (define @t337 () (and @t336 @t334)) % 3.33/3.69 (define @t338 () (or @t167 @t337)) % 3.33/3.69 (define @t339 () (forall (@list @t7 @t331 @t330 @t329 @t328) @t338)) % 3.33/3.69 (define @t340 () (@list @t331 @t330 @t329 @t328)) % 3.33/3.69 (define @t341 () (forall @t340 @t338)) % 3.33/3.69 (define @t342 () (forall (@list @t330 @t329 @t328) @t334)) % 3.33/3.69 (define @t343 () (@var "BOUND_VARIABLE_7567" |tptp.'$ki_world'|)) % 3.33/3.69 (define @t344 () (@var "BOUND_VARIABLE_7554" $$unsorted)) % 3.33/3.69 (define @t345 () (forall @t340 @t334)) % 3.33/3.69 (define @t346 () (forall (@list @t331) @t336)) % 3.33/3.69 (define @t347 () (forall @t340 @t336)) % 3.33/3.69 (define @t348 () (and @t347 @t345)) % 3.33/3.69 (define @t349 () (forall @t340 @t337)) % 3.33/3.69 (define @t350 () (or @t167 @t349)) % 3.33/3.69 (define @t351 () (tptp.intersect @t343 @t8 @t7)) % 3.33/3.69 (define @t352 () (not (|tptp.'$ki_accessible'| @t11 @t343))) % 3.33/3.69 (define @t353 () (not (forall @t13 (or @t226 (tptp.member @t9 @t344 @t7))))) % 3.33/3.69 (define @t354 () (not (forall @t13 (or @t226 (tptp.member @t9 @t344 @t8))))) % 3.33/3.69 (define @t355 () (not (|tptp.'$ki_exists_in_world_$i'| @t11 @t344))) % 3.33/3.69 (define @t356 () (or @t188 @t355 @t354 @t353 @t352 @t351)) % 3.33/3.69 (define @t357 () (@list @t11 @t344 @t343)) % 3.33/3.69 (define @t358 () (forall @t13 (or @t226 @t16))) % 3.33/3.69 (define @t359 () (not @t358)) % 3.33/3.69 (define @t360 () (forall @t13 (or @t226 @t18))) % 3.33/3.69 (define @t361 () (not @t360)) % 3.33/3.69 (define @t362 () (or @t207 @t361 @t359)) % 3.33/3.69 (define @t363 () (forall @t22 @t362)) % 3.33/3.69 (define @t364 () (not @t363)) % 3.33/3.69 (define @t365 () (forall @t13 (or @t226 @t10))) % 3.33/3.69 (define @t366 () (not @t365)) % 3.33/3.69 (define @t367 () (or @t188 @t366 @t364)) % 3.33/3.69 (define @t368 () (and (forall @t28 @t367) (forall @t357 @t356))) % 3.33/3.69 (define @t369 () (or @t352 @t351)) % 3.33/3.69 (define @t370 () (or @t355 @t354 @t353)) % 3.33/3.69 (define @t371 () (or @t188 @t370 @t369)) % 3.33/3.69 (define @t372 () (forall @t357 @t371)) % 3.33/3.69 (define @t373 () (forall (@list @t344 @t343) @t371)) % 3.33/3.69 (define @t374 () (forall (@list @t343) @t369)) % 3.33/3.69 (define @t375 () (forall (@list @t344) @t370)) % 3.33/3.69 (define @t376 () (or @t188 @t375 @t374)) % 3.33/3.69 (define @t377 () (or @t188 @t363 @t365)) % 3.33/3.69 (define @t378 () (=> @t364 @t365)) % 3.33/3.69 (define @t379 () (and @t20 @t360 @t358)) % 3.33/3.69 (define @t380 () (forall @t22 (not @t379))) % 3.33/3.69 (define @t381 () (not @t380)) % 3.33/3.69 (define @t382 () (=> @t365 @t364)) % 3.33/3.69 (define @t383 () (|tptp.'$ki_accessible'| @t258 @t249)) % 3.33/3.69 (define @t384 () (not @t383)) % 3.33/3.69 (define @t385 () (not @t267)) % 3.33/3.69 (define @t386 () (forall @t13 (or @t266 (tptp.member @t9 @t244 @t248)))) % 3.33/3.69 (define @t387 () (not @t386)) % 3.33/3.69 (define @t388 () (or @t262 @t260 @t387 @t385 @t384 @t250)) % 3.33/3.69 (define @t389 () (and (or @t262 (not (forall @t13 (or @t266 (tptp.intersect @t9 @t248 @t243)))) (not (forall @t22 (or (not (|tptp.'$ki_exists_in_world_$i'| @t258 @t15)) (not (forall @t13 (or @t266 (tptp.member @t9 @t15 @t248)))) (not (forall @t13 (or @t266 (tptp.member @t9 @t15 @t243)))))))) @t388)) % 3.33/3.69 (define @t390 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t243)) % 3.33/3.69 (define @t391 () (not @t390)) % 3.33/3.69 (define @t392 () (|tptp.'$ki_accessible'| @t255 |tptp.'$ki_local_world'|)) % 3.33/3.69 (define @t393 () (not @t392)) % 3.33/3.69 (define @t394 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t255)) % 3.33/3.69 (define @t395 () (not @t394)) % 3.33/3.69 (define @t396 () (or @t395 @t257 @t393 @t391 @t389)) % 3.33/3.69 (define @t397 () (@list false)) % 3.33/3.69 (define @t398 () (@quantifiers_skolemize @t386 0)) % 3.33/3.69 (define @t399 () (tptp.member @t398 @t244 @t248)) % 3.33/3.69 (define @t400 () (|tptp.'$ki_accessible'| @t245 @t398)) % 3.33/3.69 (define @t401 () (not @t400)) % 3.33/3.69 (define @t402 () (or @t401 @t399)) % 3.33/3.69 (define @t403 () (or (not (|tptp.'$ki_accessible'| @t258 @t398)) @t399)) % 3.33/3.69 (define @t404 () (not @t403)) % 3.33/3.69 (define @t405 () (tptp.member @t268 @t244 @t243)) % 3.33/3.69 (define @t406 () (or (not (|tptp.'$ki_accessible'| @t258 @t268)) @t405)) % 3.33/3.69 (define @t407 () (not @t406)) % 3.33/3.69 (define @t408 () (|tptp.'$ki_accessible'| @t245 @t268)) % 3.33/3.69 (define @t409 () (not @t408)) % 3.33/3.69 (define @t410 () (or @t409 @t405)) % 3.33/3.69 (define @t411 () (@list true false)) % 3.33/3.69 (assume @p1 @t3) % 3.33/3.69 (assume @p2 (forall (@list @t2 @t4) @t5)) % 3.33/3.69 (assume @p3 (forall @t6 (exists (@list @t4) @t5))) % 3.33/3.69 (assume @p4 @t48) % 3.33/3.69 (assume @p5 (forall @t6 (=> @t46 (forall @t44 (=> @t42 (forall @t40 (=> @t38 (forall @t36 (=> @t34 (forall @t28 (=> @t26 (=> @t14 (forall @t13 (=> @t12 (tptp.intersect @t9 @t7 @t8))))))))))))))) % 3.33/3.69 (assume @p6 @t74) % 3.33/3.69 (assume @p7 true) % 3.33/3.69 (step @p8 :rule aci_norm :args ((= @t96 @t94))) % 3.33/3.69 (step @p9 :rule cong :premises (@p8) :args (@t98)) % 3.33/3.69 (step @p10 :rule quant-merge-prenex :args ((= (forall @t6 @t100) @t98))) % 3.33/3.69 (step @p11 :rule alpha_equiv :args (@t101 (@list @t81 @t88 @t76 @t85 @t75 @t79 @t77) (@list @t8 @t107 @t106 @t105 @t104 @t103 @t102))) % 3.33/3.69 (step @p12 :rule refl :args (@t93)) % 3.33/3.69 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t108)) % 3.33/3.69 (step @p14 :rule quant-miniscope-or :args ((= @t100 @t108))) % 3.33/3.69 (step @p15 :rule trans :premises (@p14 @p13)) % 3.33/3.69 (step @p16 :rule symm :premises (@p15)) % 3.33/3.69 (step @p17 :rule cong :premises (@p16) :args ((forall @t6 (or @t93 @t122)))) % 3.33/3.69 (step @p18 :rule trans :premises (@p17 @p10)) % 3.33/3.69 (step @p19 :rule trans :premises (@p18 @p9)) % 3.33/3.69 (step @p20 :rule bool-impl-elim :args (@t46 @t122)) % 3.33/3.69 (step @p21 :rule cong :premises (@p20) :args ((forall @t6 (=> @t46 @t122)))) % 3.33/3.69 (step @p22 :rule trans :premises (@p21 @p19)) % 3.33/3.69 (step @p23 :rule aci_norm :args ((= @t124 @t120))) % 3.33/3.69 (step @p24 :rule cong :premises (@p23) :args (@t125)) % 3.33/3.69 (step @p25 :rule quant-merge-prenex :args ((= (forall @t44 @t127) @t125))) % 3.33/3.69 (step @p26 :rule alpha_equiv :args (@t128 (@list @t107 @t106 @t105 @t104 @t103 @t102) (@list @t25 @t133 @t132 @t131 @t130 @t129))) % 3.33/3.69 (step @p27 :rule refl :args (@t119)) % 3.33/3.69 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t134)) % 3.33/3.69 (step @p29 :rule quant-miniscope-or :args ((= @t127 @t134))) % 3.33/3.69 (step @p30 :rule trans :premises (@p29 @p28)) % 3.33/3.69 (step @p31 :rule symm :premises (@p30)) % 3.33/3.69 (step @p32 :rule cong :premises (@p31) :args ((forall @t44 (or @t119 @t147)))) % 3.33/3.69 (step @p33 :rule trans :premises (@p32 @p25)) % 3.33/3.69 (step @p34 :rule trans :premises (@p33 @p24)) % 3.33/3.69 (step @p35 :rule bool-impl-elim :args (@t42 @t147)) % 3.33/3.69 (step @p36 :rule cong :premises (@p35) :args ((forall @t44 (=> @t42 @t147)))) % 3.33/3.69 (step @p37 :rule trans :premises (@p36 @p34)) % 3.33/3.69 (step @p38 :rule aci_norm :args ((= @t149 @t145))) % 3.33/3.69 (step @p39 :rule cong :premises (@p38) :args (@t150)) % 3.33/3.69 (step @p40 :rule quant-merge-prenex :args ((= (forall @t40 @t152) @t150))) % 3.33/3.69 (step @p41 :rule alpha_equiv :args (@t153 (@list @t133 @t132 @t131 @t130 @t129) (@list @t7 @t157 @t156 @t155 @t154))) % 3.33/3.69 (step @p42 :rule refl :args (@t144)) % 3.33/3.69 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t158)) % 3.33/3.69 (step @p44 :rule quant-miniscope-or :args ((= @t152 @t158))) % 3.33/3.69 (step @p45 :rule trans :premises (@p44 @p43)) % 3.33/3.69 (step @p46 :rule symm :premises (@p45)) % 3.33/3.69 (step @p47 :rule cong :premises (@p46) :args ((forall @t40 (or @t144 @t170)))) % 3.33/3.69 (step @p48 :rule trans :premises (@p47 @p40)) % 3.33/3.69 (step @p49 :rule trans :premises (@p48 @p39)) % 3.33/3.69 (step @p50 :rule bool-impl-elim :args (@t38 @t170)) % 3.33/3.69 (step @p51 :rule cong :premises (@p50) :args ((forall @t40 (=> @t38 @t170)))) % 3.33/3.69 (step @p52 :rule trans :premises (@p51 @p49)) % 3.33/3.69 (step @p53 :rule aci_norm :args ((= @t172 @t168))) % 3.33/3.69 (step @p54 :rule cong :premises (@p53) :args (@t173)) % 3.33/3.69 (step @p55 :rule quant-merge-prenex :args ((= (forall @t36 @t175) @t173))) % 3.33/3.69 (step @p56 :rule alpha_equiv :args (@t176 (@list @t157 @t156 @t155 @t154) (@list @t11 @t179 @t178 @t177))) % 3.33/3.69 (step @p57 :rule refl :args (@t167)) % 3.33/3.69 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t180)) % 3.33/3.69 (step @p59 :rule quant-miniscope-or :args ((= @t175 @t180))) % 3.33/3.69 (step @p60 :rule trans :premises (@p59 @p58)) % 3.33/3.69 (step @p61 :rule symm :premises (@p60)) % 3.33/3.69 (step @p62 :rule cong :premises (@p61) :args ((forall @t36 (or @t167 @t191)))) % 3.33/3.69 (step @p63 :rule trans :premises (@p62 @p55)) % 3.33/3.69 (step @p64 :rule trans :premises (@p63 @p54)) % 3.33/3.69 (step @p65 :rule bool-impl-elim :args (@t34 @t191)) % 3.33/3.69 (step @p66 :rule cong :premises (@p65) :args ((forall @t36 (=> @t34 @t191)))) % 3.33/3.69 (step @p67 :rule trans :premises (@p66 @p64)) % 3.33/3.69 (step @p68 :rule aci_norm :args ((= @t193 @t189))) % 3.33/3.69 (step @p69 :rule cong :premises (@p68) :args (@t194)) % 3.33/3.69 (step @p70 :rule quant-merge-prenex :args ((= (forall @t28 @t196) @t194))) % 3.33/3.69 (step @p71 :rule alpha_equiv :args (@t197 (@list @t179 @t178 @t177) (@list @t15 @t199 @t198))) % 3.33/3.69 (step @p72 :rule refl :args (@t188)) % 3.33/3.69 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t200)) % 3.33/3.69 (step @p74 :rule quant-miniscope-or :args ((= @t196 @t200))) % 3.33/3.69 (step @p75 :rule trans :premises (@p74 @p73)) % 3.33/3.69 (step @p76 :rule symm :premises (@p75)) % 3.33/3.69 (step @p77 :rule cong :premises (@p76) :args ((forall @t28 (or @t188 @t210)))) % 3.33/3.69 (step @p78 :rule trans :premises (@p77 @p70)) % 3.33/3.69 (step @p79 :rule trans :premises (@p78 @p69)) % 3.33/3.69 (step @p80 :rule bool-impl-elim :args (@t26 @t210)) % 3.33/3.69 (step @p81 :rule cong :premises (@p80) :args ((forall @t28 (=> @t26 @t210)))) % 3.33/3.69 (step @p82 :rule trans :premises (@p81 @p79)) % 3.33/3.69 (step @p83 :rule aci_norm :args ((= @t212 @t208))) % 3.33/3.69 (step @p84 :rule cong :premises (@p83) :args (@t213)) % 3.33/3.69 (step @p85 :rule quant-merge-prenex :args ((= (forall @t22 @t215) @t213))) % 3.33/3.69 (step @p86 :rule alpha_equiv :args (@t216 (@list @t199 @t198) (@list @t9 @t217))) % 3.33/3.69 (step @p87 :rule refl :args (@t207)) % 3.33/3.69 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t218)) % 3.33/3.69 (step @p89 :rule quant-miniscope-or :args ((= @t215 @t218))) % 3.33/3.69 (step @p90 :rule trans :premises (@p89 @p88)) % 3.33/3.69 (step @p91 :rule symm :premises (@p90)) % 3.33/3.69 (step @p92 :rule cong :premises (@p91) :args ((forall @t22 (or @t207 @t229)))) % 3.33/3.69 (step @p93 :rule trans :premises (@p92 @p85)) % 3.33/3.69 (step @p94 :rule trans :premises (@p93 @p84)) % 3.33/3.69 (step @p95 :rule bool-impl-elim :args (@t20 @t229)) % 3.33/3.69 (step @p96 :rule cong :premises (@p95) :args ((forall @t22 (=> @t20 @t229)))) % 3.33/3.69 (step @p97 :rule trans :premises (@p96 @p94)) % 3.33/3.69 (step @p98 :rule aci_norm :args ((= @t231 @t227))) % 3.33/3.69 (step @p99 :rule cong :premises (@p98) :args (@t232)) % 3.33/3.69 (step @p100 :rule quant-merge-prenex :args ((= (forall @t13 @t234) @t232))) % 3.33/3.69 (step @p101 :rule alpha_equiv :args (@t235 (@list @t217) (@list @t49))) % 3.33/3.69 (step @p102 :rule refl :args (@t223)) % 3.33/3.69 (step @p103 :rule refl :args (@t225)) % 3.33/3.69 (step @p104 :rule refl :args (@t226)) % 3.33/3.69 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101) :args (@t236)) % 3.33/3.69 (step @p106 :rule quant-miniscope-or :args ((= @t234 @t236))) % 3.33/3.69 (step @p107 :rule trans :premises (@p106 @p105)) % 3.33/3.69 (step @p108 :rule symm :premises (@p107)) % 3.33/3.69 (step @p109 :rule cong :premises (@p108) :args ((forall @t13 @t238))) % 3.33/3.69 (step @p110 :rule trans :premises (@p109 @p100)) % 3.33/3.69 (step @p111 :rule trans :premises (@p110 @p99)) % 3.33/3.69 (step @p112 :rule aci_norm :args ((= (or @t226 @t239) @t238))) % 3.33/3.69 (step @p113 :rule aci_norm :args ((= (or (or @t225 @t223) @t237) @t239))) % 3.33/3.69 (step @p114 :rule refl :args (@t237)) % 3.33/3.69 (step @p115 :rule bool-and-de-morgan :args (@t224 @t222 true)) % 3.33/3.69 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t240) @t237))) % 3.33/3.69 (step @p117 :rule trans :premises (@p116 @p113)) % 3.33/3.69 (step @p118 :rule bool-impl-elim :args (@t240 @t237)) % 3.33/3.69 (step @p119 :rule trans :premises (@p118 @p117)) % 3.33/3.69 (step @p120 :rule nary_cong :premises (@p104 @p119) :args ((or @t226 @t241))) % 3.33/3.69 (step @p121 :rule trans :premises (@p120 @p112)) % 3.33/3.69 (step @p122 :rule bool-impl-elim :args (@t12 @t241)) % 3.33/3.69 (step @p123 :rule trans :premises (@p122 @p121)) % 3.33/3.69 (step @p124 :rule cong :premises (@p123) :args ((forall @t13 (=> @t12 @t241)))) % 3.33/3.69 (step @p125 :rule trans :premises (@p124 @p111)) % 3.33/3.69 (step @p126 :rule bool-impl-elim :args (@t51 @t50)) % 3.33/3.69 (step @p127 :rule cong :premises (@p126) :args (@t53)) % 3.33/3.69 (step @p128 :rule bool-impl-elim :args (@t51 @t54)) % 3.33/3.69 (step @p129 :rule cong :premises (@p128) :args (@t55)) % 3.33/3.69 (step @p130 :rule bool-impl-elim :args (@t51 @t56)) % 3.33/3.69 (step @p131 :rule cong :premises (@p130) :args (@t57)) % 3.33/3.69 (step @p132 :rule nary_cong :premises (@p131 @p129) :args (@t58)) % 3.33/3.69 (step @p133 :rule cong :premises (@p132 @p127) :args (@t59)) % 3.33/3.69 (step @p134 :rule refl :args (@t12)) % 3.33/3.69 (step @p135 :rule cong :premises (@p134 @p133) :args (@t60)) % 3.33/3.69 (step @p136 :rule cong :premises (@p135) :args (@t61)) % 3.33/3.69 (step @p137 :rule trans :premises (@p136 @p125)) % 3.33/3.69 (step @p138 :rule refl :args (@t20)) % 3.33/3.69 (step @p139 :rule cong :premises (@p138 @p137) :args (@t62)) % 3.33/3.69 (step @p140 :rule cong :premises (@p139) :args (@t63)) % 3.33/3.69 (step @p141 :rule trans :premises (@p140 @p97)) % 3.33/3.69 (step @p142 :rule refl :args (@t26)) % 3.33/3.69 (step @p143 :rule cong :premises (@p142 @p141) :args (@t64)) % 3.33/3.69 (step @p144 :rule cong :premises (@p143) :args (@t65)) % 3.33/3.69 (step @p145 :rule trans :premises (@p144 @p82)) % 3.33/3.69 (step @p146 :rule refl :args (@t34)) % 3.33/3.69 (step @p147 :rule cong :premises (@p146 @p145) :args (@t66)) % 3.33/3.69 (step @p148 :rule cong :premises (@p147) :args (@t67)) % 3.33/3.69 (step @p149 :rule trans :premises (@p148 @p67)) % 3.33/3.69 (step @p150 :rule refl :args (@t38)) % 3.33/3.69 (step @p151 :rule cong :premises (@p150 @p149) :args (@t68)) % 3.33/3.69 (step @p152 :rule cong :premises (@p151) :args (@t69)) % 3.33/3.69 (step @p153 :rule trans :premises (@p152 @p52)) % 3.33/3.69 (step @p154 :rule refl :args (@t42)) % 3.33/3.69 (step @p155 :rule cong :premises (@p154 @p153) :args (@t70)) % 3.33/3.69 (step @p156 :rule cong :premises (@p155) :args (@t71)) % 3.33/3.69 (step @p157 :rule trans :premises (@p156 @p37)) % 3.33/3.69 (step @p158 :rule refl :args (@t46)) % 3.33/3.69 (step @p159 :rule cong :premises (@p158 @p157) :args (@t72)) % 3.33/3.69 (step @p160 :rule cong :premises (@p159) :args (@t73)) % 3.33/3.69 (step @p161 :rule trans :premises (@p160 @p22)) % 3.33/3.69 (step @p162 :rule cong :premises (@p161) :args (@t74)) % 3.33/3.69 (step @p163 :rule eq_resolve :premises (@p6 @p162)) % 3.33/3.69 (step @p164 :rule skolemize :premises (@p163)) % 3.33/3.69 (step @p165 :rule bool-double-not-elim :args (@t247)) % 3.33/3.69 (step @p166 :rule refl :args (@t263)) % 3.33/3.69 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t263 (not @t251)))) % 3.33/3.69 (step @p168 :rule cnf_or_neg :args (@t263 8)) % 3.33/3.69 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 3.33/3.69 (step @p170 :rule reordering :premises (@p169) :args ((or @t247 @t263))) % 3.33/3.69 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t247 @t264 @t265)) % 3.33/3.69 (step @p172 :rule instantiate :premises (@p171) :args ((@list @t268))) % 3.33/3.69 (step @p173 :rule aci_norm :args ((= @t283 (or @t93 @t281 @t280 @t279 @t278)))) % 3.33/3.69 (step @p174 :rule cong :premises (@p173) :args (@t284)) % 3.33/3.69 (step @p175 :rule quant-merge-prenex :args ((= (forall @t6 @t286) @t284))) % 3.33/3.69 (step @p176 :rule alpha_equiv :args (@t287 (@list @t270 @t275 @t269 @t276 @t272 @t273 @t271) (@list @t8 @t293 @t292 @t291 @t290 @t289 @t288))) % 3.33/3.69 (step @p177 :rule nary_cong :premises (@p12 @p176) :args (@t294)) % 3.33/3.69 (step @p178 :rule quant-miniscope-or :args ((= @t286 @t294))) % 3.33/3.69 (step @p179 :rule trans :premises (@p178 @p177)) % 3.33/3.69 (step @p180 :rule symm :premises (@p179)) % 3.33/3.69 (step @p181 :rule cong :premises (@p180) :args ((forall @t6 (or @t93 @t302)))) % 3.33/3.69 (step @p182 :rule trans :premises (@p181 @p175)) % 3.33/3.69 (step @p183 :rule trans :premises (@p182 @p174)) % 3.33/3.69 (step @p184 :rule bool-impl-elim :args (@t46 @t302)) % 3.33/3.69 (step @p185 :rule cong :premises (@p184) :args ((forall @t6 (=> @t46 @t302)))) % 3.33/3.69 (step @p186 :rule trans :premises (@p185 @p183)) % 3.33/3.69 (step @p187 :rule aci_norm :args ((= @t304 @t300))) % 3.33/3.69 (step @p188 :rule cong :premises (@p187) :args (@t305)) % 3.33/3.69 (step @p189 :rule quant-merge-prenex :args ((= (forall @t44 @t307) @t305))) % 3.33/3.69 (step @p190 :rule alpha_equiv :args (@t308 (@list @t293 @t292 @t291 @t290 @t289 @t288) (@list @t25 @t313 @t312 @t311 @t310 @t309))) % 3.33/3.69 (step @p191 :rule nary_cong :premises (@p27 @p190) :args (@t314)) % 3.33/3.69 (step @p192 :rule quant-miniscope-or :args ((= @t307 @t314))) % 3.33/3.69 (step @p193 :rule trans :premises (@p192 @p191)) % 3.33/3.69 (step @p194 :rule symm :premises (@p193)) % 3.33/3.69 (step @p195 :rule cong :premises (@p194) :args ((forall @t44 (or @t119 @t321)))) % 3.33/3.69 (step @p196 :rule trans :premises (@p195 @p189)) % 3.33/3.69 (step @p197 :rule trans :premises (@p196 @p188)) % 3.33/3.69 (step @p198 :rule bool-impl-elim :args (@t42 @t321)) % 3.33/3.69 (step @p199 :rule cong :premises (@p198) :args ((forall @t44 (=> @t42 @t321)))) % 3.33/3.69 (step @p200 :rule trans :premises (@p199 @p197)) % 3.33/3.69 (step @p201 :rule aci_norm :args ((= @t323 @t319))) % 3.33/3.69 (step @p202 :rule cong :premises (@p201) :args (@t324)) % 3.33/3.69 (step @p203 :rule quant-merge-prenex :args ((= (forall @t40 @t326) @t324))) % 3.33/3.69 (step @p204 :rule alpha_equiv :args (@t327 (@list @t313 @t312 @t311 @t310 @t309) (@list @t7 @t331 @t330 @t329 @t328))) % 3.33/3.69 (step @p205 :rule nary_cong :premises (@p42 @p204) :args (@t332)) % 3.33/3.69 (step @p206 :rule quant-miniscope-or :args ((= @t326 @t332))) % 3.33/3.69 (step @p207 :rule trans :premises (@p206 @p205)) % 3.33/3.69 (step @p208 :rule symm :premises (@p207)) % 3.33/3.69 (step @p209 :rule cong :premises (@p208) :args ((forall @t40 (or @t144 @t339)))) % 3.33/3.69 (step @p210 :rule trans :premises (@p209 @p203)) % 3.33/3.69 (step @p211 :rule trans :premises (@p210 @p202)) % 3.33/3.69 (step @p212 :rule bool-impl-elim :args (@t38 @t339)) % 3.33/3.69 (step @p213 :rule cong :premises (@p212) :args ((forall @t40 (=> @t38 @t339)))) % 3.33/3.69 (step @p214 :rule trans :premises (@p213 @p211)) % 3.33/3.69 (step @p215 :rule quant-merge-prenex :args ((= (forall @t36 @t341) @t339))) % 3.33/3.69 (step @p216 :rule alpha_equiv :args (@t342 (@list @t330 @t329 @t328) (@list @t11 @t344 @t343))) % 3.33/3.69 (step @p217 :rule quant-unused-vars :args ((= @t345 @t342))) % 3.33/3.69 (step @p218 :rule trans :premises (@p217 @p216)) % 3.33/3.69 (step @p219 :rule alpha_equiv :args (@t346 (@list @t331) (@list @t11))) % 3.33/3.69 (step @p220 :rule quant-unused-vars :args ((= @t347 @t346))) % 3.33/3.69 (step @p221 :rule trans :premises (@p220 @p219)) % 3.33/3.69 (step @p222 :rule nary_cong :premises (@p221 @p218) :args (@t348)) % 3.33/3.69 (step @p223 :rule quant-miniscope-and :args ((= @t349 @t348))) % 3.33/3.69 (step @p224 :rule trans :premises (@p223 @p222)) % 3.33/3.69 (step @p225 :rule nary_cong :premises (@p57 @p224) :args (@t350)) % 3.33/3.69 (step @p226 :rule quant-miniscope-or :args ((= @t341 @t350))) % 3.33/3.69 (step @p227 :rule trans :premises (@p226 @p225)) % 3.33/3.69 (step @p228 :rule symm :premises (@p227)) % 3.33/3.69 (step @p229 :rule cong :premises (@p228) :args ((forall @t36 (or @t167 @t368)))) % 3.33/3.69 (step @p230 :rule trans :premises (@p229 @p215)) % 3.33/3.69 (step @p231 :rule bool-impl-elim :args (@t34 @t368)) % 3.33/3.69 (step @p232 :rule cong :premises (@p231) :args ((forall @t36 (=> @t34 @t368)))) % 3.33/3.69 (step @p233 :rule trans :premises (@p232 @p230)) % 3.33/3.69 (step @p234 :rule aci_norm :args ((= @t371 @t356))) % 3.33/3.69 (step @p235 :rule cong :premises (@p234) :args (@t372)) % 3.33/3.69 (step @p236 :rule quant-merge-prenex :args ((= (forall @t28 @t373) @t372))) % 3.33/3.69 (step @p237 :rule alpha_equiv :args (@t374 (@list @t343) (@list @t9))) % 3.33/3.69 (step @p238 :rule alpha_equiv :args (@t375 (@list @t344) (@list @t15))) % 3.33/3.69 (step @p239 :rule nary_cong :premises (@p72 @p238 @p237) :args (@t376)) % 3.33/3.69 (step @p240 :rule quant-miniscope-or :args ((= @t373 @t376))) % 3.33/3.69 (step @p241 :rule trans :premises (@p240 @p239)) % 3.33/3.69 (step @p242 :rule symm :premises (@p241)) % 3.33/3.69 (step @p243 :rule cong :premises (@p242) :args ((forall @t28 @t377))) % 3.33/3.69 (step @p244 :rule trans :premises (@p243 @p236)) % 3.33/3.69 (step @p245 :rule trans :premises (@p244 @p235)) % 3.33/3.69 (step @p246 :rule aci_norm :args ((= (or @t188 (or @t363 @t365)) @t377))) % 3.33/3.69 (step @p247 :rule refl :args (@t365)) % 3.33/3.69 (step @p248 :rule bool-double-not-elim :args (@t363)) % 3.33/3.69 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or (not @t364) @t365))) % 3.33/3.69 (step @p250 :rule bool-impl-elim :args (@t364 @t365)) % 3.33/3.69 (step @p251 :rule trans :premises (@p250 @p249)) % 3.33/3.69 (step @p252 :rule nary_cong :premises (@p72 @p251) :args ((or @t188 @t378))) % 3.33/3.69 (step @p253 :rule trans :premises (@p252 @p246)) % 3.33/3.69 (step @p254 :rule bool-impl-elim :args (@t26 @t378)) % 3.33/3.69 (step @p255 :rule trans :premises (@p254 @p253)) % 3.33/3.69 (step @p256 :rule cong :premises (@p255) :args ((forall @t28 (=> @t26 @t378)))) % 3.33/3.69 (step @p257 :rule trans :premises (@p256 @p245)) % 3.33/3.69 (step @p258 :rule bool-impl-elim :args (@t12 @t10)) % 3.33/3.69 (step @p259 :rule cong :premises (@p258) :args (@t14)) % 3.33/3.69 (step @p260 :rule aci_norm :args ((= (or @t207 (or @t361 @t359)) @t362))) % 3.33/3.69 (step @p261 :rule bool-and-de-morgan :args (@t360 @t358 true)) % 3.33/3.69 (step @p262 :rule nary_cong :premises (@p87 @p261) :args ((or @t207 (not (and @t360 @t358))))) % 3.33/3.69 (step @p263 :rule bool-and-de-morgan :args (@t20 @t360 (and @t358))) % 3.33/3.69 (step @p264 :rule trans :premises (@p263 @p262)) % 3.33/3.69 (step @p265 :rule trans :premises (@p264 @p260)) % 3.33/3.69 (step @p266 :rule cong :premises (@p265) :args (@t380)) % 3.33/3.69 (step @p267 :rule cong :premises (@p266) :args (@t381)) % 3.33/3.69 (step @p268 :rule exists-elim :args ((= (exists @t22 @t379) @t381))) % 3.33/3.69 (step @p269 :rule trans :premises (@p268 @p267)) % 3.33/3.69 (step @p270 :rule bool-impl-elim :args (@t12 @t16)) % 3.33/3.69 (step @p271 :rule cong :premises (@p270) :args (@t17)) % 3.33/3.69 (step @p272 :rule bool-impl-elim :args (@t12 @t18)) % 3.33/3.69 (step @p273 :rule cong :premises (@p272) :args (@t19)) % 3.33/3.69 (step @p274 :rule nary_cong :premises (@p138 @p273 @p271) :args (@t21)) % 3.33/3.69 (step @p275 :rule cong :premises (@p274) :args (@t23)) % 3.33/3.69 (step @p276 :rule trans :premises (@p275 @p269)) % 3.33/3.69 (step @p277 :rule cong :premises (@p276 @p259) :args (@t24)) % 3.33/3.69 (step @p278 :rule cong :premises (@p142 @p277) :args (@t27)) % 3.33/3.69 (step @p279 :rule cong :premises (@p278) :args (@t29)) % 3.33/3.69 (step @p280 :rule trans :premises (@p279 @p257)) % 3.33/3.69 (step @p281 :rule aci_norm :args ((= (or @t188 (or @t366 @t364)) @t367))) % 3.33/3.69 (step @p282 :rule bool-impl-elim :args (@t365 @t364)) % 3.33/3.69 (step @p283 :rule nary_cong :premises (@p72 @p282) :args ((or @t188 @t382))) % 3.33/3.69 (step @p284 :rule trans :premises (@p283 @p281)) % 3.33/3.69 (step @p285 :rule bool-impl-elim :args (@t26 @t382)) % 3.33/3.69 (step @p286 :rule trans :premises (@p285 @p284)) % 3.33/3.69 (step @p287 :rule cong :premises (@p286) :args ((forall @t28 (=> @t26 @t382)))) % 3.33/3.69 (step @p288 :rule cong :premises (@p259 @p276) :args (@t30)) % 3.33/3.69 (step @p289 :rule cong :premises (@p142 @p288) :args (@t31)) % 3.33/3.69 (step @p290 :rule cong :premises (@p289) :args (@t32)) % 3.33/3.69 (step @p291 :rule trans :premises (@p290 @p287)) % 3.33/3.69 (step @p292 :rule nary_cong :premises (@p291 @p280) :args (@t33)) % 3.33/3.69 (step @p293 :rule cong :premises (@p146 @p292) :args (@t35)) % 3.33/3.69 (step @p294 :rule cong :premises (@p293) :args (@t37)) % 3.33/3.69 (step @p295 :rule trans :premises (@p294 @p233)) % 3.33/3.69 (step @p296 :rule cong :premises (@p150 @p295) :args (@t39)) % 3.33/3.69 (step @p297 :rule cong :premises (@p296) :args (@t41)) % 3.33/3.69 (step @p298 :rule trans :premises (@p297 @p214)) % 3.33/3.69 (step @p299 :rule cong :premises (@p154 @p298) :args (@t43)) % 3.33/3.69 (step @p300 :rule cong :premises (@p299) :args (@t45)) % 3.33/3.69 (step @p301 :rule trans :premises (@p300 @p200)) % 3.33/3.69 (step @p302 :rule cong :premises (@p158 @p301) :args (@t47)) % 3.33/3.69 (step @p303 :rule cong :premises (@p302) :args (@t48)) % 3.33/3.69 (step @p304 :rule trans :premises (@p303 @p186)) % 3.33/3.69 (step @p305 :rule eq_resolve :premises (@p4 @p304)) % 3.33/3.69 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t255 @t248 |tptp.'$ki_local_world'| @t243 @t258 @t258 @t244 @t249))) % 3.33/3.69 (step @p307 :rule instantiate :premises (@p2) :args ((@list |tptp.'$ki_local_world'| @t243))) % 3.33/3.69 (step @p308 :rule instantiate :premises (@p1) :args ((@list @t255 |tptp.'$ki_local_world'|))) % 3.33/3.69 (step @p309 :rule instantiate :premises (@p1) :args ((@list |tptp.'$ki_local_world'| @t255))) % 3.33/3.69 (step @p310 :rule bool-double-not-elim :args (@t256)) % 3.33/3.69 (step @p311 :rule nary_cong :premises (@p166 @p310) :args ((or @t263 (not @t257)))) % 3.33/3.69 (step @p312 :rule cnf_or_neg :args (@t263 3)) % 3.33/3.69 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 3.33/3.69 (step @p314 :rule reordering :premises (@p313) :args ((or @t256 @t263))) % 3.33/3.69 (step @p315 :rule chain_m_resolution :premises (@p314 @p164) :args (@t256 @t264 @t265)) % 3.33/3.69 (step @p316 :rule cnf_or_pos :args (@t396)) % 3.33/3.69 (step @p317 :rule reordering :premises (@p316) :args ((or @t257 @t395 @t393 @t391 @t389 (not @t396)))) % 3.33/3.69 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p309 @p308 @p307 @p306) :args (@t389 (@list false false false false false) (@list @t256 @t394 @t392 @t390 @t396))) % 3.33/3.69 (step @p319 :rule cnf_and_pos :args (@t389 1)) % 3.33/3.69 (step @p320 :rule reordering :premises (@p319) :args ((or @t388 (not @t389)))) % 3.33/3.69 (step @p321 :rule chain_m_resolution :premises (@p320 @p318) :args (@t388 @t397 (@list @t389))) % 3.33/3.69 (step @p322 :rule instantiate :premises (@p1) :args ((@list @t258 @t249))) % 3.33/3.69 (step @p323 :rule bool-double-not-elim :args (@t252)) % 3.33/3.69 (step @p324 :rule nary_cong :premises (@p166 @p323) :args ((or @t263 (not @t253)))) % 3.33/3.69 (step @p325 :rule cnf_or_neg :args (@t263 7)) % 3.33/3.69 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 3.33/3.69 (step @p327 :rule reordering :premises (@p326) :args ((or @t252 @t263))) % 3.33/3.69 (step @p328 :rule chain_m_resolution :premises (@p327 @p164) :args (@t252 @t264 @t265)) % 3.33/3.69 (step @p329 :rule instantiate :premises (@p328) :args ((@list @t398))) % 3.33/3.69 (step @p330 :rule instantiate :premises (@p1) :args ((@list @t245 @t398))) % 3.33/3.69 (step @p331 :rule cnf_or_pos :args (@t402)) % 3.33/3.69 (step @p332 :rule reordering :premises (@p331) :args ((or @t399 @t401 (not @t402)))) % 3.33/3.69 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p329) :args (@t399 (@list false false) (@list @t400 @t402))) % 3.33/3.69 (step @p334 :rule cnf_or_neg :args (@t403 1)) % 3.33/3.69 (step @p335 :rule chain_m_resolution :premises (@p334 @p333) :args (@t403 @t397 (@list @t399))) % 3.33/3.69 (step @p336 :rule refl :args (@t404)) % 3.33/3.69 (step @p337 :rule bool-double-not-elim :args (@t386)) % 3.33/3.69 (step @p338 :rule nary_cong :premises (@p337 @p336) :args ((or (not @t387) @t404))) % 3.33/3.69 (assume-push @p384 @t387) % 3.33/3.69 (step @p340 :rule skolemize :premises (@p384)) % 3.33/3.69 (step-pop @p385 :rule scope :premises (@p340)) % 3.33/3.69 (step @p341 :rule process_scope :premises (@p385) :args (@t404)) % 3.33/3.69 (step @p343 :rule implies_elim :premises (@p341)) % 3.33/3.69 (step @p344 :rule eq_resolve :premises (@p343 @p338)) % 3.33/3.69 (step @p345 :rule chain_m_resolution :premises (@p344 @p335) :args (@t386 @t397 (@list @t403))) % 3.33/3.69 (step @p346 :rule cnf_or_neg :args (@t263 10)) % 3.33/3.69 (step @p347 :rule chain_m_resolution :premises (@p346 @p164) :args ((not @t250) @t264 @t265)) % 3.33/3.69 (step @p348 :rule bool-double-not-elim :args (@t259)) % 3.33/3.69 (step @p349 :rule nary_cong :premises (@p166 @p348) :args ((or @t263 (not @t260)))) % 3.33/3.69 (step @p350 :rule cnf_or_neg :args (@t263 1)) % 3.33/3.69 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 3.33/3.69 (step @p352 :rule reordering :premises (@p351) :args ((or @t259 @t263))) % 3.33/3.69 (step @p353 :rule chain_m_resolution :premises (@p352 @p164) :args (@t259 @t264 @t265)) % 3.33/3.69 (step @p354 :rule bool-double-not-elim :args (@t261)) % 0.21/3.71 (step @p355 :rule nary_cong :premises (@p166 @p354) :args ((or @t263 (not @t262)))) % 0.21/3.71 (step @p356 :rule cnf_or_neg :args (@t263 0)) % 0.21/3.71 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.21/3.71 (step @p358 :rule reordering :premises (@p357) :args ((or @t261 @t263))) % 0.21/3.71 (step @p359 :rule chain_m_resolution :premises (@p358 @p164) :args (@t261 @t264 @t265)) % 0.21/3.71 (step @p360 :rule cnf_or_pos :args (@t388)) % 0.21/3.71 (step @p361 :rule reordering :premises (@p360) :args ((or @t262 @t260 @t250 @t387 @t385 @t384 (not @t388)))) % 0.21/3.71 (step @p362 :rule chain_m_resolution :premises (@p361 @p359 @p353 @p347 @p345 @p322 @p321) :args (@t385 (@list false false true false false false) (@list @t261 @t259 @t250 @t386 @t383 @t388))) % 0.21/3.71 (step @p363 :rule refl :args (@t407)) % 0.21/3.71 (step @p364 :rule bool-double-not-elim :args (@t267)) % 0.21/3.71 (step @p365 :rule nary_cong :premises (@p364 @p363) :args ((or (not @t385) @t407))) % 0.21/3.71 (assume-push @p386 @t385) % 0.21/3.71 (step @p367 :rule skolemize :premises (@p386)) % 0.21/3.71 (step-pop @p387 :rule scope :premises (@p367)) % 0.21/3.71 (step @p368 :rule process_scope :premises (@p387) :args (@t407)) % 0.21/3.71 (step @p370 :rule implies_elim :premises (@p368)) % 0.21/3.71 (step @p371 :rule eq_resolve :premises (@p370 @p365)) % 0.21/3.71 (step @p372 :rule chain_m_resolution :premises (@p371 @p362) :args (@t407 @t264 (@list @t267))) % 0.21/3.71 (step @p373 :rule cnf_or_neg :args (@t406 1)) % 0.21/3.71 (step @p374 :rule chain_m_resolution :premises (@p373 @p372) :args ((not @t405) @t264 (@list @t406))) % 0.21/3.71 (step @p375 :rule cnf_or_pos :args (@t410)) % 0.21/3.71 (step @p376 :rule reordering :premises (@p375) :args ((or @t405 @t409 (not @t410)))) % 0.21/3.71 (step @p377 :rule chain_m_resolution :premises (@p376 @p374 @p172) :args (@t409 @t411 (@list @t405 @t410))) % 0.21/3.71 (assume-push @p388 @t3) % 0.21/3.71 (step @p379 :rule instantiate :premises (@p1) :args ((@list @t245 @t268))) % 0.21/3.71 (step-pop @p389 :rule scope :premises (@p379)) % 0.21/3.71 (step @p380 :rule process_scope :premises (@p389) :args (@t408)) % 0.21/3.71 (step @p382 :rule implies_elim :premises (@p380)) % 0.21/3.71 (step @p383 false :rule chain_m_resolution :premises (@p382 @p377 @p1) :args (false @t411 (@list @t408 @t3))) % 0.21/3.71 ) % 0.21/3.71 % SZS output end Proof % 0.21/3.72 % cvc5 exiting %------------------------------------------------------------------------------