%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL947_10 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 11:24:13 AM UTC 2026 % Result : Theorem 1.32s 1.60s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL947_10 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.37 % Computer : n027.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 00:04:12 UTC 2026 % 0.10/0.38 % CPUTime : % 0.10/0.46 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.60 % SZS status Theorem % 1.32/1.60 % SZS output start Proof % 1.32/1.60 ( % 1.32/1.60 (declare-sort |tptp.'$ki_world'| 0) % 1.32/1.60 (declare-sort $$unsorted 0) % 1.32/1.60 (declare-const tptp.subset (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 1.32/1.60 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.60 (declare-const tptp.member (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 1.32/1.60 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 1.32/1.60 (declare-const tptp.qmltpeq (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 1.32/1.60 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 1.32/1.60 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 1.32/1.60 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t2 () (@list @t1)) % 1.32/1.60 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t5 () (@var "X" $$unsorted)) % 1.32/1.60 (define @t6 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t5)) % 1.32/1.60 (define @t7 () (@list @t5)) % 1.32/1.60 (define @t8 () (@var "W0" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t9 () (tptp.qmltpeq @t8 @t5 @t5)) % 1.32/1.60 (define @t10 () (|tptp.'$ki_accessible'| @t1 @t8)) % 1.32/1.60 (define @t11 () (@list @t8)) % 1.32/1.60 (define @t12 () (forall @t11 (=> @t10 @t9))) % 1.32/1.60 (define @t13 () (=> @t6 @t12)) % 1.32/1.60 (define @t14 () (forall @t7 @t13)) % 1.32/1.60 (define @t15 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 1.32/1.60 (define @t16 () (=> @t15 @t14)) % 1.32/1.60 (define @t17 () (forall @t2 @t16)) % 1.32/1.60 (define @t18 () (@var "Y" $$unsorted)) % 1.32/1.60 (define @t19 () (@var "W2" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t20 () (@var "W1" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t21 () (|tptp.'$ki_accessible'| @t20 @t19)) % 1.32/1.60 (define @t22 () (@list @t19)) % 1.32/1.60 (define @t23 () (|tptp.'$ki_accessible'| @t8 @t20)) % 1.32/1.60 (define @t24 () (@list @t20)) % 1.32/1.60 (define @t25 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t18)) % 1.32/1.60 (define @t26 () (@list @t18)) % 1.32/1.60 (define @t27 () (@var "Z" $$unsorted)) % 1.32/1.60 (define @t28 () (@var "W3" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t29 () (|tptp.'$ki_accessible'| @t19 @t28)) % 1.32/1.60 (define @t30 () (@list @t28)) % 1.32/1.60 (define @t31 () (@var "C" $$unsorted)) % 1.32/1.60 (define @t32 () (@var "B" $$unsorted)) % 1.32/1.60 (define @t33 () (tptp.union @t32 @t31)) % 1.32/1.60 (define @t34 () (@var "A" $$unsorted)) % 1.32/1.60 (define @t35 () (forall @t30 (=> @t29 (tptp.qmltpeq @t28 @t34 @t32)))) % 1.32/1.60 (define @t36 () (|tptp.'$ki_exists_in_world_$i'| @t20 @t31)) % 1.32/1.60 (define @t37 () (@list @t31)) % 1.32/1.60 (define @t38 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t32)) % 1.32/1.60 (define @t39 () (@list @t32)) % 1.32/1.60 (define @t40 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t34)) % 1.32/1.60 (define @t41 () (@list @t34)) % 1.32/1.60 (define @t42 () (tptp.union @t31 @t32)) % 1.32/1.60 (define @t43 () (tptp.qmltpeq @t19 @t33 @t31)) % 1.32/1.60 (define @t44 () (forall @t22 (=> @t21 @t43))) % 1.32/1.60 (define @t45 () (tptp.subset @t19 @t32 @t31)) % 1.32/1.60 (define @t46 () (forall @t22 (=> @t21 @t45))) % 1.32/1.60 (define @t47 () (=> @t46 @t44)) % 1.32/1.60 (define @t48 () (=> @t23 @t47)) % 1.32/1.60 (define @t49 () (forall @t24 @t48)) % 1.32/1.60 (define @t50 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t31)) % 1.32/1.60 (define @t51 () (=> @t50 @t49)) % 1.32/1.60 (define @t52 () (forall @t37 @t51)) % 1.32/1.60 (define @t53 () (=> @t10 @t52)) % 1.32/1.60 (define @t54 () (forall @t11 @t53)) % 1.32/1.60 (define @t55 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t32)) % 1.32/1.60 (define @t56 () (=> @t55 @t54)) % 1.32/1.60 (define @t57 () (forall @t39 @t56)) % 1.32/1.60 (define @t58 () (=> @t15 @t57)) % 1.32/1.60 (define @t59 () (forall @t2 @t58)) % 1.32/1.60 (define @t60 () (@var "D" $$unsorted)) % 1.32/1.60 (define @t61 () (forall @t30 (=> @t29 (tptp.member @t28 @t60 @t33)))) % 1.32/1.60 (define @t62 () (or (forall @t30 (=> @t29 (tptp.member @t28 @t60 @t32))) (forall @t30 (=> @t29 (tptp.member @t28 @t60 @t31))))) % 1.32/1.60 (define @t63 () (@list @t60)) % 1.32/1.60 (define @t64 () (tptp.qmltpeq @t19 @t32 @t31)) % 1.32/1.60 (define @t65 () (forall @t22 (=> @t21 @t64))) % 1.32/1.60 (define @t66 () (tptp.subset @t19 @t31 @t32)) % 1.32/1.60 (define @t67 () (forall @t22 (=> @t21 @t66))) % 1.32/1.60 (define @t68 () (and @t46 @t67)) % 1.32/1.60 (define @t69 () (=> @t68 @t65)) % 1.32/1.60 (define @t70 () (=> @t23 @t69)) % 1.32/1.60 (define @t71 () (forall @t24 @t70)) % 1.32/1.60 (define @t72 () (=> @t65 @t68)) % 1.32/1.60 (define @t73 () (=> @t23 @t72)) % 1.32/1.60 (define @t74 () (forall @t24 @t73)) % 1.32/1.60 (define @t75 () (and @t74 @t71)) % 1.32/1.60 (define @t76 () (=> @t50 @t75)) % 1.32/1.60 (define @t77 () (forall @t37 @t76)) % 1.32/1.60 (define @t78 () (=> @t10 @t77)) % 1.32/1.60 (define @t79 () (forall @t11 @t78)) % 1.32/1.60 (define @t80 () (=> @t55 @t79)) % 1.32/1.60 (define @t81 () (forall @t39 @t80)) % 1.32/1.60 (define @t82 () (=> @t15 @t81)) % 1.32/1.60 (define @t83 () (forall @t2 @t82)) % 1.32/1.60 (define @t84 () (@var "W4" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t85 () (|tptp.'$ki_accessible'| @t28 @t84)) % 1.32/1.60 (define @t86 () (@list @t84)) % 1.32/1.60 (define @t87 () (forall @t86 (=> @t85 (tptp.member @t84 @t60 @t31)))) % 1.32/1.60 (define @t88 () (forall @t86 (=> @t85 (tptp.member @t84 @t60 @t32)))) % 1.32/1.60 (define @t89 () (forall @t30 (=> @t29 (=> @t88 @t87)))) % 1.32/1.60 (define @t90 () (|tptp.'$ki_exists_in_world_$i'| @t19 @t60)) % 1.32/1.60 (define @t91 () (forall @t22 (=> @t21 (forall @t63 (=> @t90 @t89))))) % 1.32/1.60 (define @t92 () (forall @t22 (=> @t21 (forall @t63 (=> @t90 (and @t89 (forall @t30 (=> @t29 (=> @t87 @t88))))))))) % 1.32/1.60 (define @t93 () (tptp.union @t32 @t32)) % 1.32/1.60 (define @t94 () (tptp.qmltpeq @t8 @t93 @t32)) % 1.32/1.60 (define @t95 () (forall @t11 (=> @t10 @t94))) % 1.32/1.60 (define @t96 () (=> @t55 @t95)) % 1.32/1.60 (define @t97 () (forall @t39 @t96)) % 1.32/1.60 (define @t98 () (=> @t15 @t97)) % 1.32/1.60 (define @t99 () (forall @t2 @t98)) % 1.32/1.60 (define @t100 () (not @t99)) % 1.32/1.60 (define @t101 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 1.32/1.60 (define @t102 () (@var "BOUND_VARIABLE_7837" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t103 () (tptp.qmltpeq @t102 @t101 @t101)) % 1.32/1.60 (define @t104 () (not (|tptp.'$ki_accessible'| @t1 @t102))) % 1.32/1.60 (define @t105 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t101))) % 1.32/1.60 (define @t106 () (not @t15)) % 1.32/1.60 (define @t107 () (or @t106 @t105 @t104 @t103)) % 1.32/1.60 (define @t108 () (or @t105 @t104 @t103)) % 1.32/1.60 (define @t109 () (or @t106 @t108)) % 1.32/1.60 (define @t110 () (@list @t1 @t101 @t102)) % 1.32/1.60 (define @t111 () (forall @t110 @t109)) % 1.32/1.60 (define @t112 () (@list @t101 @t102)) % 1.32/1.60 (define @t113 () (forall @t112 @t109)) % 1.32/1.60 (define @t114 () (forall @t112 @t108)) % 1.32/1.60 (define @t115 () (@var "BOUND_VARIABLE_7819" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t116 () (or @t106 @t114)) % 1.32/1.60 (define @t117 () (tptp.qmltpeq @t115 @t5 @t5)) % 1.32/1.60 (define @t118 () (not (|tptp.'$ki_accessible'| @t1 @t115))) % 1.32/1.60 (define @t119 () (not @t6)) % 1.32/1.60 (define @t120 () (or @t119 @t118 @t117)) % 1.32/1.60 (define @t121 () (@list @t5 @t115)) % 1.32/1.60 (define @t122 () (forall @t121 @t120)) % 1.32/1.60 (define @t123 () (or @t118 @t117)) % 1.32/1.60 (define @t124 () (or @t119 @t123)) % 1.32/1.60 (define @t125 () (forall @t121 @t124)) % 1.32/1.60 (define @t126 () (@list @t115)) % 1.32/1.60 (define @t127 () (forall @t126 @t124)) % 1.32/1.60 (define @t128 () (forall @t126 @t123)) % 1.32/1.60 (define @t129 () (@list @t8)) % 1.32/1.60 (define @t130 () (or @t119 @t128)) % 1.32/1.60 (define @t131 () (not @t10)) % 1.32/1.60 (define @t132 () (forall @t11 (or @t131 @t9))) % 1.32/1.60 (define @t133 () (@var "BOUND_VARIABLE_10574" $$unsorted)) % 1.32/1.60 (define @t134 () (@var "BOUND_VARIABLE_10570" $$unsorted)) % 1.32/1.60 (define @t135 () (@var "BOUND_VARIABLE_10584" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t136 () (@var "BOUND_VARIABLE_10582" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t137 () (not (|tptp.'$ki_accessible'| @t136 @t19))) % 1.32/1.60 (define @t138 () (@var "BOUND_VARIABLE_10572" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t139 () (@var "BOUND_VARIABLE_10580" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t140 () (@var "BOUND_VARIABLE_10576" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t141 () (@var "BOUND_VARIABLE_10578" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t142 () (and (or (not (|tptp.'$ki_accessible'| @t138 @t140)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t140 @t19)) (tptp.qmltpeq @t19 @t134 @t133)))) (and (or (not (|tptp.'$ki_accessible'| @t140 @t141)) (tptp.subset @t141 @t134 @t133)) (or (not (|tptp.'$ki_accessible'| @t140 @t139)) (tptp.subset @t139 @t133 @t134)))) (or (not (|tptp.'$ki_accessible'| @t138 @t136)) (not (forall @t22 (or @t137 (tptp.subset @t19 @t134 @t133)))) (not (forall @t22 (or @t137 (tptp.subset @t19 @t133 @t134)))) (not (|tptp.'$ki_accessible'| @t136 @t135)) (tptp.qmltpeq @t135 @t134 @t133)))) % 1.32/1.60 (define @t143 () (not (|tptp.'$ki_exists_in_world_$i'| @t138 @t133))) % 1.32/1.60 (define @t144 () (not (|tptp.'$ki_accessible'| @t1 @t138))) % 1.32/1.60 (define @t145 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t134))) % 1.32/1.60 (define @t146 () (or @t145 @t144 @t143 @t142)) % 1.32/1.60 (define @t147 () (or @t106 @t146)) % 1.32/1.60 (define @t148 () (forall (@list @t1 @t134 @t138 @t133 @t140 @t141 @t139 @t136 @t135) @t147)) % 1.32/1.60 (define @t149 () (@list @t134 @t138 @t133 @t140 @t141 @t139 @t136 @t135)) % 1.32/1.60 (define @t150 () (forall @t149 @t147)) % 1.32/1.60 (define @t151 () (forall @t149 @t146)) % 1.32/1.60 (define @t152 () (@var "BOUND_VARIABLE_10519" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t153 () (@var "BOUND_VARIABLE_10517" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t154 () (@var "BOUND_VARIABLE_10515" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t155 () (@var "BOUND_VARIABLE_10513" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t156 () (@var "BOUND_VARIABLE_10511" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t157 () (@var "BOUND_VARIABLE_10509" $$unsorted)) % 1.32/1.60 (define @t158 () (@var "BOUND_VARIABLE_10507" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t159 () (or @t106 @t151)) % 1.32/1.60 (define @t160 () (not (|tptp.'$ki_accessible'| @t153 @t19))) % 1.32/1.60 (define @t161 () (and (or (not (|tptp.'$ki_accessible'| @t158 @t156)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t156 @t19)) (tptp.qmltpeq @t19 @t32 @t157)))) (and (or (not (|tptp.'$ki_accessible'| @t156 @t155)) (tptp.subset @t155 @t32 @t157)) (or (not (|tptp.'$ki_accessible'| @t156 @t154)) (tptp.subset @t154 @t157 @t32)))) (or (not (|tptp.'$ki_accessible'| @t158 @t153)) (not (forall @t22 (or @t160 (tptp.subset @t19 @t32 @t157)))) (not (forall @t22 (or @t160 (tptp.subset @t19 @t157 @t32)))) (not (|tptp.'$ki_accessible'| @t153 @t152)) (tptp.qmltpeq @t152 @t32 @t157)))) % 1.32/1.60 (define @t162 () (not (|tptp.'$ki_exists_in_world_$i'| @t158 @t157))) % 1.32/1.60 (define @t163 () (not (|tptp.'$ki_accessible'| @t1 @t158))) % 1.32/1.60 (define @t164 () (not @t55)) % 1.32/1.60 (define @t165 () (or @t164 @t163 @t162 @t161)) % 1.32/1.60 (define @t166 () (@list @t32 @t158 @t157 @t156 @t155 @t154 @t153 @t152)) % 1.32/1.60 (define @t167 () (forall @t166 @t165)) % 1.32/1.60 (define @t168 () (or @t163 @t162 @t161)) % 1.32/1.60 (define @t169 () (or @t164 @t168)) % 1.32/1.60 (define @t170 () (forall @t166 @t169)) % 1.32/1.60 (define @t171 () (@list @t158 @t157 @t156 @t155 @t154 @t153 @t152)) % 1.32/1.60 (define @t172 () (forall @t171 @t169)) % 1.32/1.60 (define @t173 () (forall @t171 @t168)) % 1.32/1.60 (define @t174 () (@var "BOUND_VARIABLE_10458" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t175 () (@var "BOUND_VARIABLE_10456" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t176 () (@var "BOUND_VARIABLE_10454" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t177 () (@var "BOUND_VARIABLE_10452" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t178 () (@var "BOUND_VARIABLE_10450" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t179 () (@var "BOUND_VARIABLE_10448" $$unsorted)) % 1.32/1.60 (define @t180 () (or @t164 @t173)) % 1.32/1.60 (define @t181 () (not (|tptp.'$ki_accessible'| @t175 @t19))) % 1.32/1.60 (define @t182 () (and (or (not (|tptp.'$ki_accessible'| @t8 @t178)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t178 @t19)) (tptp.qmltpeq @t19 @t32 @t179)))) (and (or (not (|tptp.'$ki_accessible'| @t178 @t177)) (tptp.subset @t177 @t32 @t179)) (or (not (|tptp.'$ki_accessible'| @t178 @t176)) (tptp.subset @t176 @t179 @t32)))) (or (not (|tptp.'$ki_accessible'| @t8 @t175)) (not (forall @t22 (or @t181 (tptp.subset @t19 @t32 @t179)))) (not (forall @t22 (or @t181 (tptp.subset @t19 @t179 @t32)))) (not (|tptp.'$ki_accessible'| @t175 @t174)) (tptp.qmltpeq @t174 @t32 @t179)))) % 1.32/1.60 (define @t183 () (not (|tptp.'$ki_exists_in_world_$i'| @t8 @t179))) % 1.32/1.60 (define @t184 () (or @t131 @t183 @t182)) % 1.32/1.60 (define @t185 () (@list @t8 @t179 @t178 @t177 @t176 @t175 @t174)) % 1.32/1.60 (define @t186 () (forall @t185 @t184)) % 1.32/1.60 (define @t187 () (or @t183 @t182)) % 1.32/1.60 (define @t188 () (or @t131 @t187)) % 1.32/1.60 (define @t189 () (forall @t185 @t188)) % 1.32/1.60 (define @t190 () (@list @t179 @t178 @t177 @t176 @t175 @t174)) % 1.32/1.60 (define @t191 () (forall @t190 @t188)) % 1.32/1.60 (define @t192 () (forall @t190 @t187)) % 1.32/1.60 (define @t193 () (@var "BOUND_VARIABLE_10424" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t194 () (@var "BOUND_VARIABLE_10422" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t195 () (@var "BOUND_VARIABLE_10403" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t196 () (@var "BOUND_VARIABLE_10401" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t197 () (@var "BOUND_VARIABLE_10399" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t198 () (or @t131 @t192)) % 1.32/1.60 (define @t199 () (not (|tptp.'$ki_accessible'| @t194 @t19))) % 1.32/1.60 (define @t200 () (or (not (|tptp.'$ki_accessible'| @t8 @t194)) (not (forall @t22 (or @t199 @t45))) (not (forall @t22 (or @t199 @t66))) (not (|tptp.'$ki_accessible'| @t194 @t193)) (tptp.qmltpeq @t193 @t32 @t31))) % 1.32/1.60 (define @t201 () (or (not (|tptp.'$ki_accessible'| @t8 @t197)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t197 @t19)) @t64))) (and (or (not (|tptp.'$ki_accessible'| @t197 @t196)) (tptp.subset @t196 @t32 @t31)) (or (not (|tptp.'$ki_accessible'| @t197 @t195)) (tptp.subset @t195 @t31 @t32))))) % 1.32/1.60 (define @t202 () (and @t201 @t200)) % 1.32/1.60 (define @t203 () (not @t50)) % 1.32/1.60 (define @t204 () (or @t203 @t202)) % 1.32/1.60 (define @t205 () (forall (@list @t31 @t197 @t196 @t195 @t194 @t193) @t204)) % 1.32/1.60 (define @t206 () (@list @t197 @t196 @t195 @t194 @t193)) % 1.32/1.60 (define @t207 () (forall @t206 @t204)) % 1.32/1.60 (define @t208 () (forall (@list @t194 @t193) @t200)) % 1.32/1.60 (define @t209 () (@var "BOUND_VARIABLE_10383" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t210 () (forall @t206 @t200)) % 1.32/1.60 (define @t211 () (forall (@list @t197 @t196 @t195) @t201)) % 1.32/1.60 (define @t212 () (@var "BOUND_VARIABLE_10364" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t213 () (@var "BOUND_VARIABLE_10358" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t214 () (forall @t206 @t201)) % 1.32/1.60 (define @t215 () (and @t214 @t210)) % 1.32/1.60 (define @t216 () (forall @t206 @t202)) % 1.32/1.60 (define @t217 () (or @t203 @t216)) % 1.32/1.60 (define @t218 () (tptp.qmltpeq @t209 @t32 @t31)) % 1.32/1.60 (define @t219 () (not (|tptp.'$ki_accessible'| @t20 @t209))) % 1.32/1.60 (define @t220 () (not @t21)) % 1.32/1.60 (define @t221 () (forall @t22 (or @t220 @t66))) % 1.32/1.60 (define @t222 () (not @t221)) % 1.32/1.60 (define @t223 () (forall @t22 (or @t220 @t45))) % 1.32/1.60 (define @t224 () (not @t223)) % 1.32/1.60 (define @t225 () (not @t23)) % 1.32/1.60 (define @t226 () (or @t225 @t224 @t222 @t219 @t218)) % 1.32/1.60 (define @t227 () (@list @t20 @t209)) % 1.32/1.60 (define @t228 () (or (not (|tptp.'$ki_accessible'| @t20 @t212)) (tptp.subset @t212 @t31 @t32))) % 1.32/1.60 (define @t229 () (or (not (|tptp.'$ki_accessible'| @t20 @t213)) (tptp.subset @t213 @t32 @t31))) % 1.32/1.60 (define @t230 () (and @t229 @t228)) % 1.32/1.60 (define @t231 () (forall @t22 (or @t220 @t64))) % 1.32/1.60 (define @t232 () (not @t231)) % 1.32/1.60 (define @t233 () (or @t225 @t232 @t230)) % 1.32/1.60 (define @t234 () (forall (@list @t20 @t213 @t212) @t233)) % 1.32/1.60 (define @t235 () (and @t234 (forall @t227 @t226))) % 1.32/1.60 (define @t236 () (or @t219 @t218)) % 1.32/1.60 (define @t237 () (or @t225 @t224 @t222 @t236)) % 1.32/1.60 (define @t238 () (forall @t227 @t237)) % 1.32/1.60 (define @t239 () (@list @t209)) % 1.32/1.60 (define @t240 () (forall @t239 @t237)) % 1.32/1.60 (define @t241 () (forall @t239 @t236)) % 1.32/1.60 (define @t242 () (@list @t19)) % 1.32/1.60 (define @t243 () (or @t225 @t224 @t222 @t241)) % 1.32/1.60 (define @t244 () (or @t225 @t224 @t222 @t231)) % 1.32/1.60 (define @t245 () (or @t224 @t222 @t231)) % 1.32/1.60 (define @t246 () (and @t223 @t221)) % 1.32/1.60 (define @t247 () (=> @t246 @t231)) % 1.32/1.60 (define @t248 () (@list @t213 @t212)) % 1.32/1.60 (define @t249 () (forall @t248 @t233)) % 1.32/1.60 (define @t250 () (forall (@list @t212) @t228)) % 1.32/1.60 (define @t251 () (forall @t248 @t228)) % 1.32/1.60 (define @t252 () (forall (@list @t213) @t229)) % 1.32/1.60 (define @t253 () (forall @t248 @t229)) % 1.32/1.60 (define @t254 () (and @t253 @t251)) % 1.32/1.60 (define @t255 () (forall @t248 @t230)) % 1.32/1.60 (define @t256 () (or @t225 @t232 @t255)) % 1.32/1.60 (define @t257 () (or @t225 @t232 @t246)) % 1.32/1.60 (define @t258 () (=> @t231 @t246)) % 1.32/1.60 (define @t259 () (@var "BOUND_VARIABLE_11722" $$unsorted)) % 1.32/1.60 (define @t260 () (@var "BOUND_VARIABLE_11724" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t261 () (tptp.qmltpeq @t260 (tptp.union @t259 @t259) @t259)) % 1.32/1.60 (define @t262 () (not (|tptp.'$ki_accessible'| @t1 @t260))) % 1.32/1.60 (define @t263 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t259))) % 1.32/1.60 (define @t264 () (or @t106 @t263 @t262 @t261)) % 1.32/1.60 (define @t265 () (@list @t1 @t259 @t260)) % 1.32/1.60 (define @t266 () (forall @t265 @t264)) % 1.32/1.60 (define @t267 () (@quantifiers_skolemize @t266 2)) % 1.32/1.60 (define @t268 () (@quantifiers_skolemize @t266 0)) % 1.32/1.60 (define @t269 () (@quantifiers_skolemize @t266 1)) % 1.32/1.60 (define @t270 () (forall @t30 (or (not (|tptp.'$ki_accessible'| @t268 @t28)) (tptp.subset @t28 @t269 @t269)))) % 1.32/1.60 (define @t271 () (@quantifiers_skolemize @t270 0)) % 1.32/1.60 (define @t272 () (or @t263 @t262 @t261)) % 1.32/1.60 (define @t273 () (or @t106 @t272)) % 1.32/1.60 (define @t274 () (forall @t265 @t273)) % 1.32/1.60 (define @t275 () (@list @t259 @t260)) % 1.32/1.60 (define @t276 () (forall @t275 @t273)) % 1.32/1.60 (define @t277 () (forall @t275 @t272)) % 1.32/1.60 (define @t278 () (@var "BOUND_VARIABLE_11707" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t279 () (or @t106 @t277)) % 1.32/1.60 (define @t280 () (tptp.qmltpeq @t278 @t93 @t32)) % 1.32/1.60 (define @t281 () (not (|tptp.'$ki_accessible'| @t1 @t278))) % 1.32/1.60 (define @t282 () (or @t164 @t281 @t280)) % 1.32/1.60 (define @t283 () (@list @t32 @t278)) % 1.32/1.60 (define @t284 () (forall @t283 @t282)) % 1.32/1.60 (define @t285 () (or @t281 @t280)) % 1.32/1.60 (define @t286 () (or @t164 @t285)) % 1.32/1.60 (define @t287 () (forall @t283 @t286)) % 1.32/1.60 (define @t288 () (@list @t278)) % 1.32/1.60 (define @t289 () (forall @t288 @t286)) % 1.32/1.60 (define @t290 () (forall @t288 @t285)) % 1.32/1.60 (define @t291 () (or @t164 @t290)) % 1.32/1.60 (define @t292 () (forall @t11 (or @t131 @t94))) % 1.32/1.60 (define @t293 () (|tptp.'$ki_exists_in_world_$i'| @t268 @t269)) % 1.32/1.60 (define @t294 () (tptp.qmltpeq @t267 (tptp.union @t269 @t269) @t269)) % 1.32/1.60 (define @t295 () (|tptp.'$ki_accessible'| @t268 @t267)) % 1.32/1.60 (define @t296 () (not @t295)) % 1.32/1.60 (define @t297 () (not @t293)) % 1.32/1.60 (define @t298 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t268)) % 1.32/1.60 (define @t299 () (not @t298)) % 1.32/1.60 (define @t300 () (or @t299 @t297 @t296 @t294)) % 1.32/1.60 (define @t301 () (@list true)) % 1.32/1.60 (define @t302 () (@list @t300)) % 1.32/1.60 (define @t303 () (tptp.subset @t19 @t269 @t269)) % 1.32/1.60 (define @t304 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t267 @t19)) @t303)))) % 1.32/1.60 (define @t305 () (|tptp.'$ki_accessible'| @t268 @t268)) % 1.32/1.60 (define @t306 () (not @t305)) % 1.32/1.60 (define @t307 () (or (not (|tptp.'$ki_accessible'| @t268 @t271)) (tptp.subset @t271 @t269 @t269))) % 1.32/1.60 (define @t308 () (and @t307 (or @t306 (tptp.subset @t268 @t269 @t269)))) % 1.32/1.60 (define @t309 () (not (|tptp.'$ki_accessible'| @t268 @t19))) % 1.32/1.60 (define @t310 () (forall @t22 (or @t309 (tptp.qmltpeq @t19 @t269 @t269)))) % 1.32/1.60 (define @t311 () (not @t310)) % 1.32/1.60 (define @t312 () (or @t306 @t311 @t308)) % 1.32/1.60 (define @t313 () (and @t312 (or @t296 @t304 @t304 (not (|tptp.'$ki_accessible'| @t267 @t267)) (tptp.qmltpeq @t267 @t269 @t269)))) % 1.32/1.60 (define @t314 () (or @t299 @t297 @t306 @t297 @t313)) % 1.32/1.60 (define @t315 () (@var "BOUND_VARIABLE_9885" $$unsorted)) % 1.32/1.60 (define @t316 () (@var "BOUND_VARIABLE_9881" $$unsorted)) % 1.32/1.60 (define @t317 () (@var "BOUND_VARIABLE_9889" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t318 () (tptp.qmltpeq @t317 (tptp.union @t316 @t315) @t315)) % 1.32/1.60 (define @t319 () (@var "BOUND_VARIABLE_9887" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t320 () (not (|tptp.'$ki_accessible'| @t319 @t317))) % 1.32/1.60 (define @t321 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t319 @t19)) (tptp.subset @t19 @t316 @t315))))) % 1.32/1.60 (define @t322 () (@var "BOUND_VARIABLE_9883" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t323 () (not (|tptp.'$ki_accessible'| @t322 @t319))) % 1.32/1.60 (define @t324 () (not (|tptp.'$ki_exists_in_world_$i'| @t322 @t315))) % 1.32/1.60 (define @t325 () (not (|tptp.'$ki_accessible'| @t1 @t322))) % 1.32/1.60 (define @t326 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t316))) % 1.32/1.60 (define @t327 () (or @t326 @t325 @t324 @t323 @t321 @t320 @t318)) % 1.32/1.60 (define @t328 () (or @t106 @t327)) % 1.32/1.60 (define @t329 () (forall (@list @t1 @t316 @t322 @t315 @t319 @t317) @t328)) % 1.32/1.60 (define @t330 () (@list @t316 @t322 @t315 @t319 @t317)) % 1.32/1.60 (define @t331 () (forall @t330 @t328)) % 1.32/1.60 (define @t332 () (forall @t330 @t327)) % 1.32/1.60 (define @t333 () (@var "BOUND_VARIABLE_9853" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t334 () (@var "BOUND_VARIABLE_9851" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t335 () (@var "BOUND_VARIABLE_9849" $$unsorted)) % 1.32/1.60 (define @t336 () (@var "BOUND_VARIABLE_9847" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t337 () (or @t106 @t332)) % 1.32/1.60 (define @t338 () (tptp.qmltpeq @t333 (tptp.union @t32 @t335) @t335)) % 1.32/1.60 (define @t339 () (not (|tptp.'$ki_accessible'| @t334 @t333))) % 1.32/1.60 (define @t340 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t334 @t19)) (tptp.subset @t19 @t32 @t335))))) % 1.32/1.60 (define @t341 () (not (|tptp.'$ki_accessible'| @t336 @t334))) % 1.32/1.60 (define @t342 () (not (|tptp.'$ki_exists_in_world_$i'| @t336 @t335))) % 1.32/1.60 (define @t343 () (not (|tptp.'$ki_accessible'| @t1 @t336))) % 1.32/1.60 (define @t344 () (or @t164 @t343 @t342 @t341 @t340 @t339 @t338)) % 1.32/1.60 (define @t345 () (@list @t32 @t336 @t335 @t334 @t333)) % 1.32/1.60 (define @t346 () (forall @t345 @t344)) % 1.32/1.60 (define @t347 () (or @t343 @t342 @t341 @t340 @t339 @t338)) % 1.32/1.60 (define @t348 () (or @t164 @t347)) % 1.32/1.60 (define @t349 () (forall @t345 @t348)) % 1.32/1.60 (define @t350 () (@list @t336 @t335 @t334 @t333)) % 1.32/1.60 (define @t351 () (forall @t350 @t348)) % 1.32/1.60 (define @t352 () (forall @t350 @t347)) % 1.32/1.60 (define @t353 () (@var "BOUND_VARIABLE_9820" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t354 () (@var "BOUND_VARIABLE_9818" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t355 () (@var "BOUND_VARIABLE_9816" $$unsorted)) % 1.32/1.60 (define @t356 () (or @t164 @t352)) % 1.32/1.60 (define @t357 () (tptp.qmltpeq @t353 (tptp.union @t32 @t355) @t355)) % 1.32/1.60 (define @t358 () (not (|tptp.'$ki_accessible'| @t354 @t353))) % 1.32/1.60 (define @t359 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t354 @t19)) (tptp.subset @t19 @t32 @t355))))) % 1.32/1.60 (define @t360 () (not (|tptp.'$ki_accessible'| @t8 @t354))) % 1.32/1.60 (define @t361 () (not (|tptp.'$ki_exists_in_world_$i'| @t8 @t355))) % 1.32/1.60 (define @t362 () (or @t131 @t361 @t360 @t359 @t358 @t357)) % 1.32/1.60 (define @t363 () (@list @t8 @t355 @t354 @t353)) % 1.32/1.60 (define @t364 () (forall @t363 @t362)) % 1.32/1.60 (define @t365 () (or @t361 @t360 @t359 @t358 @t357)) % 1.32/1.60 (define @t366 () (or @t131 @t365)) % 1.32/1.60 (define @t367 () (forall @t363 @t366)) % 1.32/1.60 (define @t368 () (@list @t355 @t354 @t353)) % 1.32/1.60 (define @t369 () (forall @t368 @t366)) % 1.32/1.60 (define @t370 () (forall @t368 @t365)) % 1.32/1.60 (define @t371 () (@var "BOUND_VARIABLE_9794" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t372 () (@var "BOUND_VARIABLE_9792" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t373 () (or @t131 @t370)) % 1.32/1.60 (define @t374 () (tptp.qmltpeq @t371 @t33 @t31)) % 1.32/1.60 (define @t375 () (not (|tptp.'$ki_accessible'| @t372 @t371))) % 1.32/1.60 (define @t376 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t372 @t19)) @t45)))) % 1.32/1.60 (define @t377 () (not (|tptp.'$ki_accessible'| @t8 @t372))) % 1.32/1.60 (define @t378 () (or @t203 @t377 @t376 @t375 @t374)) % 1.32/1.60 (define @t379 () (@list @t31 @t372 @t371)) % 1.32/1.60 (define @t380 () (forall @t379 @t378)) % 1.32/1.60 (define @t381 () (or @t377 @t376 @t375 @t374)) % 1.32/1.60 (define @t382 () (or @t203 @t381)) % 1.32/1.60 (define @t383 () (forall @t379 @t382)) % 1.32/1.60 (define @t384 () (@list @t372 @t371)) % 1.32/1.60 (define @t385 () (forall @t384 @t382)) % 1.32/1.60 (define @t386 () (forall @t384 @t381)) % 1.32/1.60 (define @t387 () (@var "BOUND_VARIABLE_9776" |tptp.'$ki_world'|)) % 1.32/1.60 (define @t388 () (or @t203 @t386)) % 1.32/1.60 (define @t389 () (tptp.qmltpeq @t387 @t33 @t31)) % 1.32/1.60 (define @t390 () (not (|tptp.'$ki_accessible'| @t20 @t387))) % 1.32/1.60 (define @t391 () (or @t225 @t224 @t390 @t389)) % 1.32/1.60 (define @t392 () (@list @t20 @t387)) % 1.32/1.60 (define @t393 () (forall @t392 @t391)) % 1.32/1.60 (define @t394 () (or @t390 @t389)) % 1.32/1.60 (define @t395 () (or @t225 @t224 @t394)) % 1.32/1.60 (define @t396 () (forall @t392 @t395)) % 1.32/1.60 (define @t397 () (@list @t387)) % 1.32/1.60 (define @t398 () (forall @t397 @t395)) % 1.32/1.60 (define @t399 () (forall @t397 @t394)) % 1.32/1.60 (define @t400 () (or @t225 @t224 @t399)) % 1.32/1.60 (define @t401 () (forall @t22 (or @t220 @t43))) % 1.32/1.60 (define @t402 () (or @t225 @t224 @t401)) % 1.32/1.60 (define @t403 () (=> @t223 @t401)) % 1.32/1.60 (define @t404 () (forall @t22 (or @t309 @t303))) % 1.32/1.60 (define @t405 () (not @t404)) % 1.32/1.60 (define @t406 () (or @t299 @t297 @t306 @t297 @t306 @t405 @t296 @t294)) % 1.32/1.60 (define @t407 () (not @t308)) % 1.32/1.60 (define @t408 () (@quantifiers_skolemize @t310 0)) % 1.32/1.60 (define @t409 () (tptp.qmltpeq @t408 @t269 @t269)) % 1.32/1.60 (define @t410 () (|tptp.'$ki_accessible'| @t268 @t408)) % 1.32/1.60 (define @t411 () (not @t410)) % 1.32/1.60 (define @t412 () (or @t411 @t409)) % 1.32/1.60 (define @t413 () (@list @t412)) % 1.32/1.60 (define @t414 () (or @t299 @t297 @t411 @t409)) % 1.32/1.60 (define @t415 () (not @t414)) % 1.32/1.60 (define @t416 () (forall @t110 @t107)) % 1.32/1.60 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 1.32/1.60 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (|tptp.'$ki_accessible'| @t1 @t4) (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 1.32/1.60 (assume @p3 (forall @t2 (exists @t7 @t6))) % 1.32/1.60 (assume @p4 @t17) % 1.32/1.60 (assume @p5 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t26 (=> @t25 (forall @t24 (=> @t23 (=> (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t5 @t18))) (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t18 @t5))))))))))))))) % 1.32/1.60 (assume @p6 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t26 (=> @t25 (forall @t24 (=> @t23 (forall (@list @t27) (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t27) (forall @t22 (=> @t21 (=> (and (forall @t30 (=> @t29 (tptp.qmltpeq @t28 @t5 @t18))) (forall @t30 (=> @t29 (tptp.qmltpeq @t28 @t18 @t27)))) (forall @t30 (=> @t29 (tptp.qmltpeq @t28 @t5 @t27))))))))))))))))))) % 1.32/1.60 (assume @p7 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> @t35 (forall @t30 (=> @t29 (tptp.qmltpeq @t28 (tptp.union @t34 @t31) @t33))))))))))))))))))) % 1.32/1.60 (assume @p8 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> @t35 (forall @t30 (=> @t29 (tptp.qmltpeq @t28 (tptp.union @t31 @t34) @t42))))))))))))))))))) % 1.32/1.60 (assume @p9 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> (and @t35 (forall @t30 (=> @t29 (tptp.member @t28 @t34 @t31)))) (forall @t30 (=> @t29 (tptp.member @t28 @t32 @t31))))))))))))))))))) % 1.32/1.60 (assume @p10 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> (and @t35 (forall @t30 (=> @t29 (tptp.member @t28 @t31 @t34)))) (forall @t30 (=> @t29 (tptp.member @t28 @t31 @t32))))))))))))))))))) % 1.32/1.60 (assume @p11 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> (and @t35 (forall @t30 (=> @t29 (tptp.subset @t28 @t34 @t31)))) (forall @t30 (=> @t29 (tptp.subset @t28 @t32 @t31))))))))))))))))))) % 1.32/1.60 (assume @p12 (forall @t2 (=> @t15 (forall @t41 (=> @t40 (forall @t11 (=> @t10 (forall @t39 (=> @t38 (forall @t24 (=> @t23 (forall @t37 (=> @t36 (forall @t22 (=> @t21 (=> (and @t35 (forall @t30 (=> @t29 (tptp.subset @t28 @t31 @t34)))) (forall @t30 (=> @t29 (tptp.subset @t28 @t31 @t32))))))))))))))))))) % 1.32/1.60 (assume @p13 @t59) % 1.32/1.60 (assume @p14 (forall @t2 (=> @t15 (forall @t39 (=> @t55 (forall @t11 (=> @t10 (forall @t37 (=> @t50 (forall @t24 (=> @t23 (forall @t63 (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t60) (and (forall @t22 (=> @t21 (=> @t61 @t62))) (forall @t22 (=> @t21 (=> @t62 @t61))))))))))))))))) % 1.32/1.60 (assume @p15 @t83) % 1.32/1.60 (assume @p16 (forall @t2 (=> @t15 (forall @t39 (=> @t55 (forall @t11 (=> @t10 (forall @t37 (=> @t50 (forall @t24 (=> @t23 (tptp.qmltpeq @t20 @t33 @t42)))))))))))) % 1.32/1.60 (assume @p17 (forall @t2 (=> @t15 (forall @t39 (=> @t55 (forall @t11 (=> @t10 (forall @t37 (=> @t50 (and (forall @t24 (=> @t23 (=> @t46 @t91))) (forall @t24 (=> @t23 (=> @t91 @t46))))))))))))) % 1.32/1.60 (assume @p18 (forall @t2 (=> @t15 (forall @t39 (=> @t55 (forall @t11 (=> @t10 (tptp.subset @t8 @t32 @t32)))))))) % 1.32/1.60 (assume @p19 (forall @t2 (=> @t15 (forall @t39 (=> @t55 (forall @t11 (=> @t10 (forall @t37 (=> @t50 (and (forall @t24 (=> @t23 (=> @t65 @t92))) (forall @t24 (=> @t23 (=> @t92 @t65))))))))))))) % 1.32/1.60 (assume @p20 @t100) % 1.32/1.60 (assume @p21 true) % 1.32/1.60 (step @p22 :rule aci_norm :args ((= @t109 @t107))) % 1.32/1.60 (step @p23 :rule cong :premises (@p22) :args (@t111)) % 1.32/1.60 (step @p24 :rule quant-merge-prenex :args ((= (forall @t2 @t113) @t111))) % 1.32/1.60 (step @p25 :rule alpha_equiv :args (@t114 (@list @t101 @t102) (@list @t5 @t115))) % 1.32/1.60 (step @p26 :rule refl :args (@t106)) % 1.32/1.60 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t116)) % 1.32/1.60 (step @p28 :rule quant-miniscope-or :args ((= @t113 @t116))) % 1.32/1.60 (step @p29 :rule trans :premises (@p28 @p27)) % 1.32/1.60 (step @p30 :rule symm :premises (@p29)) % 1.32/1.60 (step @p31 :rule cong :premises (@p30) :args ((forall @t2 (or @t106 @t122)))) % 1.32/1.60 (step @p32 :rule trans :premises (@p31 @p24)) % 1.32/1.60 (step @p33 :rule trans :premises (@p32 @p23)) % 1.32/1.60 (step @p34 :rule bool-impl-elim :args (@t15 @t122)) % 1.32/1.60 (step @p35 :rule cong :premises (@p34) :args ((forall @t2 (=> @t15 @t122)))) % 1.32/1.60 (step @p36 :rule trans :premises (@p35 @p33)) % 1.32/1.60 (step @p37 :rule aci_norm :args ((= @t124 @t120))) % 1.32/1.60 (step @p38 :rule cong :premises (@p37) :args (@t125)) % 1.32/1.60 (step @p39 :rule quant-merge-prenex :args ((= (forall @t7 @t127) @t125))) % 1.32/1.60 (step @p40 :rule alpha_equiv :args (@t128 (@list @t115) @t129)) % 1.32/1.60 (step @p41 :rule refl :args (@t119)) % 1.32/1.60 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t130)) % 1.32/1.60 (step @p43 :rule quant-miniscope-or :args ((= @t127 @t130))) % 1.32/1.60 (step @p44 :rule trans :premises (@p43 @p42)) % 1.32/1.60 (step @p45 :rule symm :premises (@p44)) % 1.32/1.60 (step @p46 :rule cong :premises (@p45) :args ((forall @t7 (or @t119 @t132)))) % 1.32/1.60 (step @p47 :rule trans :premises (@p46 @p39)) % 1.32/1.60 (step @p48 :rule trans :premises (@p47 @p38)) % 1.32/1.60 (step @p49 :rule bool-impl-elim :args (@t6 @t132)) % 1.32/1.60 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 (=> @t6 @t132)))) % 1.32/1.60 (step @p51 :rule trans :premises (@p50 @p48)) % 1.32/1.60 (step @p52 :rule bool-impl-elim :args (@t10 @t9)) % 1.32/1.60 (step @p53 :rule cong :premises (@p52) :args (@t12)) % 1.32/1.60 (step @p54 :rule refl :args (@t6)) % 1.32/1.60 (step @p55 :rule cong :premises (@p54 @p53) :args (@t13)) % 1.32/1.60 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 1.32/1.60 (step @p57 :rule trans :premises (@p56 @p51)) % 1.32/1.60 (step @p58 :rule refl :args (@t15)) % 1.32/1.60 (step @p59 :rule cong :premises (@p58 @p57) :args (@t16)) % 1.32/1.60 (step @p60 :rule cong :premises (@p59) :args (@t17)) % 1.32/1.60 (step @p61 :rule trans :premises (@p60 @p36)) % 1.32/1.60 (step @p62 :rule eq_resolve :premises (@p4 @p61)) % 1.32/1.60 (step @p63 :rule aci_norm :args ((= @t147 (or @t106 @t145 @t144 @t143 @t142)))) % 1.32/1.60 (step @p64 :rule cong :premises (@p63) :args (@t148)) % 1.32/1.60 (step @p65 :rule quant-merge-prenex :args ((= (forall @t2 @t150) @t148))) % 1.32/1.60 (step @p66 :rule alpha_equiv :args (@t151 (@list @t134 @t138 @t133 @t140 @t141 @t139 @t136 @t135) (@list @t32 @t158 @t157 @t156 @t155 @t154 @t153 @t152))) % 1.32/1.60 (step @p67 :rule nary_cong :premises (@p26 @p66) :args (@t159)) % 1.32/1.60 (step @p68 :rule quant-miniscope-or :args ((= @t150 @t159))) % 1.32/1.60 (step @p69 :rule trans :premises (@p68 @p67)) % 1.32/1.60 (step @p70 :rule symm :premises (@p69)) % 1.32/1.60 (step @p71 :rule cong :premises (@p70) :args ((forall @t2 (or @t106 @t167)))) % 1.32/1.60 (step @p72 :rule trans :premises (@p71 @p65)) % 1.32/1.60 (step @p73 :rule trans :premises (@p72 @p64)) % 1.32/1.60 (step @p74 :rule bool-impl-elim :args (@t15 @t167)) % 1.32/1.60 (step @p75 :rule cong :premises (@p74) :args ((forall @t2 (=> @t15 @t167)))) % 1.32/1.60 (step @p76 :rule trans :premises (@p75 @p73)) % 1.32/1.60 (step @p77 :rule aci_norm :args ((= @t169 @t165))) % 1.32/1.60 (step @p78 :rule cong :premises (@p77) :args (@t170)) % 1.32/1.60 (step @p79 :rule quant-merge-prenex :args ((= (forall @t39 @t172) @t170))) % 1.32/1.60 (step @p80 :rule alpha_equiv :args (@t173 (@list @t158 @t157 @t156 @t155 @t154 @t153 @t152) (@list @t8 @t179 @t178 @t177 @t176 @t175 @t174))) % 1.32/1.60 (step @p81 :rule refl :args (@t164)) % 1.32/1.60 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t180)) % 1.32/1.60 (step @p83 :rule quant-miniscope-or :args ((= @t172 @t180))) % 1.32/1.60 (step @p84 :rule trans :premises (@p83 @p82)) % 1.32/1.60 (step @p85 :rule symm :premises (@p84)) % 1.32/1.60 (step @p86 :rule cong :premises (@p85) :args ((forall @t39 (or @t164 @t186)))) % 1.32/1.60 (step @p87 :rule trans :premises (@p86 @p79)) % 1.32/1.60 (step @p88 :rule trans :premises (@p87 @p78)) % 1.32/1.60 (step @p89 :rule bool-impl-elim :args (@t55 @t186)) % 1.32/1.60 (step @p90 :rule cong :premises (@p89) :args ((forall @t39 (=> @t55 @t186)))) % 1.32/1.60 (step @p91 :rule trans :premises (@p90 @p88)) % 1.32/1.60 (step @p92 :rule aci_norm :args ((= @t188 @t184))) % 1.32/1.60 (step @p93 :rule cong :premises (@p92) :args (@t189)) % 1.32/1.60 (step @p94 :rule quant-merge-prenex :args ((= (forall @t11 @t191) @t189))) % 1.32/1.60 (step @p95 :rule alpha_equiv :args (@t192 (@list @t179 @t178 @t177 @t176 @t175 @t174) (@list @t31 @t197 @t196 @t195 @t194 @t193))) % 1.32/1.60 (step @p96 :rule refl :args (@t131)) % 1.32/1.60 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t198)) % 1.32/1.60 (step @p98 :rule quant-miniscope-or :args ((= @t191 @t198))) % 1.32/1.60 (step @p99 :rule trans :premises (@p98 @p97)) % 1.32/1.60 (step @p100 :rule symm :premises (@p99)) % 1.32/1.60 (step @p101 :rule cong :premises (@p100) :args ((forall @t11 (or @t131 @t205)))) % 1.32/1.60 (step @p102 :rule trans :premises (@p101 @p94)) % 1.32/1.60 (step @p103 :rule trans :premises (@p102 @p93)) % 1.32/1.60 (step @p104 :rule bool-impl-elim :args (@t10 @t205)) % 1.32/1.60 (step @p105 :rule cong :premises (@p104) :args ((forall @t11 (=> @t10 @t205)))) % 1.32/1.60 (step @p106 :rule trans :premises (@p105 @p103)) % 1.32/1.60 (step @p107 :rule quant-merge-prenex :args ((= (forall @t37 @t207) @t205))) % 1.32/1.60 (step @p108 :rule alpha_equiv :args (@t208 (@list @t194 @t193) (@list @t20 @t209))) % 1.32/1.60 (step @p109 :rule quant-unused-vars :args ((= @t210 @t208))) % 1.32/1.60 (step @p110 :rule trans :premises (@p109 @p108)) % 1.32/1.60 (step @p111 :rule alpha_equiv :args (@t211 (@list @t197 @t196 @t195) (@list @t20 @t213 @t212))) % 1.32/1.60 (step @p112 :rule quant-unused-vars :args ((= @t214 @t211))) % 1.32/1.60 (step @p113 :rule trans :premises (@p112 @p111)) % 1.32/1.60 (step @p114 :rule nary_cong :premises (@p113 @p110) :args (@t215)) % 1.32/1.60 (step @p115 :rule quant-miniscope-and :args ((= @t216 @t215))) % 1.32/1.60 (step @p116 :rule trans :premises (@p115 @p114)) % 1.32/1.60 (step @p117 :rule refl :args (@t203)) % 1.32/1.60 (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t217)) % 1.32/1.60 (step @p119 :rule quant-miniscope-or :args ((= @t207 @t217))) % 1.32/1.60 (step @p120 :rule trans :premises (@p119 @p118)) % 1.32/1.60 (step @p121 :rule symm :premises (@p120)) % 1.32/1.60 (step @p122 :rule cong :premises (@p121) :args ((forall @t37 (or @t203 @t235)))) % 1.32/1.60 (step @p123 :rule trans :premises (@p122 @p107)) % 1.32/1.60 (step @p124 :rule bool-impl-elim :args (@t50 @t235)) % 1.32/1.60 (step @p125 :rule cong :premises (@p124) :args ((forall @t37 (=> @t50 @t235)))) % 1.32/1.60 (step @p126 :rule trans :premises (@p125 @p123)) % 1.32/1.60 (step @p127 :rule aci_norm :args ((= @t237 @t226))) % 1.32/1.60 (step @p128 :rule cong :premises (@p127) :args (@t238)) % 1.32/1.60 (step @p129 :rule quant-merge-prenex :args ((= (forall @t24 @t240) @t238))) % 1.32/1.60 (step @p130 :rule alpha_equiv :args (@t241 (@list @t209) @t242)) % 1.32/1.60 (step @p131 :rule refl :args (@t222)) % 1.32/1.60 (step @p132 :rule refl :args (@t224)) % 1.32/1.60 (step @p133 :rule refl :args (@t225)) % 1.32/1.60 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t243)) % 1.32/1.60 (step @p135 :rule quant-miniscope-or :args ((= @t240 @t243))) % 1.32/1.60 (step @p136 :rule trans :premises (@p135 @p134)) % 1.32/1.60 (step @p137 :rule symm :premises (@p136)) % 1.32/1.60 (step @p138 :rule cong :premises (@p137) :args ((forall @t24 @t244))) % 1.32/1.60 (step @p139 :rule trans :premises (@p138 @p129)) % 1.32/1.60 (step @p140 :rule trans :premises (@p139 @p128)) % 1.32/1.60 (step @p141 :rule aci_norm :args ((= (or @t225 @t245) @t244))) % 1.32/1.60 (step @p142 :rule aci_norm :args ((= (or (or @t224 @t222) @t231) @t245))) % 1.32/1.60 (step @p143 :rule refl :args (@t231)) % 1.32/1.60 (step @p144 :rule bool-and-de-morgan :args (@t223 @t221 true)) % 1.32/1.60 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t246) @t231))) % 1.32/1.60 (step @p146 :rule trans :premises (@p145 @p142)) % 1.32/1.60 (step @p147 :rule bool-impl-elim :args (@t246 @t231)) % 1.32/1.60 (step @p148 :rule trans :premises (@p147 @p146)) % 1.32/1.60 (step @p149 :rule nary_cong :premises (@p133 @p148) :args ((or @t225 @t247))) % 1.32/1.60 (step @p150 :rule trans :premises (@p149 @p141)) % 1.32/1.60 (step @p151 :rule bool-impl-elim :args (@t23 @t247)) % 1.32/1.60 (step @p152 :rule trans :premises (@p151 @p150)) % 1.32/1.60 (step @p153 :rule cong :premises (@p152) :args ((forall @t24 (=> @t23 @t247)))) % 1.32/1.60 (step @p154 :rule trans :premises (@p153 @p140)) % 1.32/1.60 (step @p155 :rule bool-impl-elim :args (@t21 @t64)) % 1.32/1.60 (step @p156 :rule cong :premises (@p155) :args (@t65)) % 1.32/1.60 (step @p157 :rule bool-impl-elim :args (@t21 @t66)) % 1.32/1.60 (step @p158 :rule cong :premises (@p157) :args (@t67)) % 1.32/1.60 (step @p159 :rule bool-impl-elim :args (@t21 @t45)) % 1.32/1.60 (step @p160 :rule cong :premises (@p159) :args (@t46)) % 1.32/1.60 (step @p161 :rule nary_cong :premises (@p160 @p158) :args (@t68)) % 1.32/1.60 (step @p162 :rule cong :premises (@p161 @p156) :args (@t69)) % 1.32/1.60 (step @p163 :rule refl :args (@t23)) % 1.32/1.60 (step @p164 :rule cong :premises (@p163 @p162) :args (@t70)) % 1.32/1.60 (step @p165 :rule cong :premises (@p164) :args (@t71)) % 1.32/1.60 (step @p166 :rule trans :premises (@p165 @p154)) % 1.32/1.60 (step @p167 :rule quant-merge-prenex :args ((= (forall @t24 @t249) @t234))) % 1.32/1.60 (step @p168 :rule alpha_equiv :args (@t250 (@list @t212) @t242)) % 1.32/1.60 (step @p169 :rule quant-unused-vars :args ((= @t251 @t250))) % 1.32/1.60 (step @p170 :rule trans :premises (@p169 @p168)) % 1.32/1.60 (step @p171 :rule alpha_equiv :args (@t252 (@list @t213) @t242)) % 1.32/1.60 (step @p172 :rule quant-unused-vars :args ((= @t253 @t252))) % 1.32/1.60 (step @p173 :rule trans :premises (@p172 @p171)) % 1.32/1.60 (step @p174 :rule nary_cong :premises (@p173 @p170) :args (@t254)) % 1.32/1.60 (step @p175 :rule quant-miniscope-and :args ((= @t255 @t254))) % 1.32/1.60 (step @p176 :rule trans :premises (@p175 @p174)) % 1.32/1.60 (step @p177 :rule refl :args (@t232)) % 1.32/1.60 (step @p178 :rule nary_cong :premises (@p133 @p177 @p176) :args (@t256)) % 1.32/1.60 (step @p179 :rule quant-miniscope-or :args ((= @t249 @t256))) % 1.32/1.60 (step @p180 :rule trans :premises (@p179 @p178)) % 1.32/1.60 (step @p181 :rule symm :premises (@p180)) % 1.32/1.60 (step @p182 :rule cong :premises (@p181) :args ((forall @t24 @t257))) % 1.32/1.60 (step @p183 :rule trans :premises (@p182 @p167)) % 1.32/1.60 (step @p184 :rule aci_norm :args ((= (or @t225 (or @t232 @t246)) @t257))) % 1.32/1.60 (step @p185 :rule bool-impl-elim :args (@t231 @t246)) % 1.32/1.60 (step @p186 :rule nary_cong :premises (@p133 @p185) :args ((or @t225 @t258))) % 1.32/1.60 (step @p187 :rule trans :premises (@p186 @p184)) % 1.32/1.60 (step @p188 :rule bool-impl-elim :args (@t23 @t258)) % 1.32/1.60 (step @p189 :rule trans :premises (@p188 @p187)) % 1.32/1.60 (step @p190 :rule cong :premises (@p189) :args ((forall @t24 (=> @t23 @t258)))) % 1.32/1.60 (step @p191 :rule trans :premises (@p190 @p183)) % 1.32/1.60 (step @p192 :rule cong :premises (@p156 @p161) :args (@t72)) % 1.32/1.60 (step @p193 :rule cong 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1.32/1.61 (step @p315 :rule trans :premises (@p314 @p312)) % 1.32/1.61 (step @p316 :rule aci_norm :args ((= @t382 @t378))) % 1.32/1.61 (step @p317 :rule cong :premises (@p316) :args (@t383)) % 1.32/1.61 (step @p318 :rule quant-merge-prenex :args ((= (forall @t37 @t385) @t383))) % 1.32/1.61 (step @p319 :rule alpha_equiv :args (@t386 (@list @t372 @t371) (@list @t20 @t387))) % 1.32/1.61 (step @p320 :rule nary_cong :premises (@p117 @p319) :args (@t388)) % 1.32/1.61 (step @p321 :rule quant-miniscope-or :args ((= @t385 @t388))) % 1.32/1.61 (step @p322 :rule trans :premises (@p321 @p320)) % 1.32/1.61 (step @p323 :rule symm :premises (@p322)) % 1.32/1.61 (step @p324 :rule cong :premises (@p323) :args ((forall @t37 (or @t203 @t393)))) % 1.32/1.61 (step @p325 :rule trans :premises (@p324 @p318)) % 1.32/1.61 (step @p326 :rule trans :premises (@p325 @p317)) % 1.32/1.61 (step @p327 :rule bool-impl-elim :args (@t50 @t393)) % 1.32/1.61 (step @p328 :rule cong :premises (@p327) :args ((forall @t37 (=> 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@t401)) % 1.32/1.61 (step @p343 :rule nary_cong :premises (@p133 @p342) :args ((or @t225 @t403))) % 1.32/1.61 (step @p344 :rule trans :premises (@p343 @p341)) % 1.32/1.61 (step @p345 :rule bool-impl-elim :args (@t23 @t403)) % 1.32/1.61 (step @p346 :rule trans :premises (@p345 @p344)) % 1.32/1.61 (step @p347 :rule cong :premises (@p346) :args ((forall @t24 (=> @t23 @t403)))) % 1.32/1.61 (step @p348 :rule trans :premises (@p347 @p340)) % 1.32/1.61 (step @p349 :rule bool-impl-elim :args (@t21 @t43)) % 1.32/1.61 (step @p350 :rule cong :premises (@p349) :args (@t44)) % 1.32/1.61 (step @p351 :rule cong :premises (@p160 @p350) :args (@t47)) % 1.32/1.61 (step @p352 :rule cong :premises (@p163 @p351) :args (@t48)) % 1.32/1.61 (step @p353 :rule cong :premises (@p352) :args (@t49)) % 1.32/1.61 (step @p354 :rule trans :premises (@p353 @p348)) % 1.32/1.61 (step @p355 :rule cong :premises (@p197 @p354) :args (@t51)) % 1.32/1.61 (step @p356 :rule cong :premises (@p355) :args (@t52)) % 1.32/1.61 (step 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(step @p371 :rule bool-double-not-elim :args (@t295)) % 1.32/1.61 (step @p372 :rule nary_cong :premises (@p255 @p371) :args ((or @t300 (not @t296)))) % 1.32/1.61 (step @p373 :rule cnf_or_neg :args (@t300 2)) % 1.32/1.61 (step @p374 :rule eq_resolve :premises (@p373 @p372)) % 1.32/1.61 (step @p375 :rule reordering :premises (@p374) :args ((or @t295 @t300))) % 1.32/1.61 (step @p376 :rule chain_m_resolution :premises (@p375 @p253) :args (@t295 @t301 @t302)) % 1.32/1.61 (step @p377 :rule cnf_or_pos :args (@t406)) % 1.32/1.61 (step @p378 :rule factoring :premises (@p377)) % 1.32/1.61 (step @p379 :rule reordering :premises (@p378) :args ((or @t299 @t297 @t296 @t294 @t306 @t405 (not @t406)))) % 1.32/1.61 (step @p380 :rule chain_m_resolution :premises (@p379 @p266 @p260 @p376 @p370 @p214 @p368) :args (@t405 (@list false false false true false false) (@list @t298 @t293 @t295 @t294 @t305 @t406))) % 1.32/1.61 (step @p381 :rule alpha_equiv :args (@t270 (@list @t28) @t242)) % 1.32/1.61 (step @p382 :rule equiv_elim1 :premises (@p381)) % 1.32/1.61 (step @p383 :rule chain_m_resolution :premises (@p382 @p380) :args ((not @t270) @t301 (@list @t404))) % 1.32/1.61 (step @p384 :rule skolemize :premises (@p383)) % 1.32/1.61 (step @p385 :rule cnf_and_pos :args (@t308 0)) % 1.32/1.61 (step @p386 :rule reordering :premises (@p385) :args ((or @t307 @t407))) % 1.32/1.61 (step @p387 :rule chain_m_resolution :premises (@p386 @p384) :args (@t407 @t301 (@list @t307))) % 1.32/1.61 (step @p388 :rule cnf_or_pos :args (@t312)) % 1.32/1.61 (step @p389 :rule reordering :premises (@p388) :args ((or @t306 @t311 @t308 (not @t312)))) % 1.32/1.61 (step @p390 :rule chain_m_resolution :premises (@p389 @p214 @p387 @p273) :args (@t311 (@list false true false) (@list @t305 @t308 @t312))) % 1.32/1.61 (step @p391 :rule skolemize :premises (@p390)) % 1.32/1.61 (step @p392 :rule cnf_or_neg :args (@t412 1)) % 1.32/1.61 (step @p393 :rule chain_m_resolution :premises (@p392 @p391) :args ((not @t409) @t301 @t413)) % 1.32/1.61 (step @p394 :rule bool-double-not-elim :args (@t410)) % 1.32/1.61 (step @p395 :rule refl :args (@t412)) % 1.32/1.61 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t412 (not @t411)))) % 1.32/1.61 (step @p397 :rule cnf_or_neg :args (@t412 0)) % 1.32/1.61 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 1.32/1.61 (step @p399 :rule reordering :premises (@p398) :args ((or @t410 @t412))) % 1.32/1.61 (step @p400 :rule chain_m_resolution :premises (@p399 @p391) :args (@t410 @t301 @t413)) % 1.32/1.61 (step @p401 :rule cnf_or_pos :args (@t414)) % 1.32/1.61 (step @p402 :rule reordering :premises (@p401) :args ((or @t299 @t297 @t411 @t409 @t415))) % 1.32/1.61 (step @p403 :rule chain_m_resolution :premises (@p402 @p266 @p260 @p400 @p393) :args (@t415 (@list false false false true) (@list @t298 @t293 @t410 @t409))) % 1.32/1.61 (assume-push @p410 @t416) % 1.32/1.61 (step @p405 :rule instantiate :premises (@p62) :args ((@list @t268 @t269 @t408))) % 1.32/1.61 (step-pop @p411 :rule scope :premises (@p405)) % 1.32/1.61 (step @p406 :rule process_scope :premises (@p411) :args (@t414)) % 1.32/1.61 (step @p408 :rule implies_elim :premises (@p406)) % 1.32/1.61 (step @p409 false :rule chain_m_resolution :premises (@p408 @p403 @p62) :args (false (@list true false) (@list @t414 @t416))) % 1.32/1.61 ) % 1.32/1.61 % SZS output end Proof % 1.32/1.61 % cvc5 exiting %------------------------------------------------------------------------------