%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL949_4 : 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 : n013.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 114.44s 115.71s % Output : Proof 114.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL949_4 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n013.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 : Fri Sep 4 21:23:20 UTC 2026 % 0.10/0.36 % CPUTime : % 0.19/0.51 %----Proving TF0_NAR, FOF, or CNF % 114.44/115.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 114.44/115.71 --- Run --no-e-matching --full-saturate-quant at 6... % 114.44/115.71 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 114.44/115.71 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 114.44/115.71 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 114.44/115.71 --- Run --trigger-sel=max --full-saturate-quant at 15... % 114.44/115.71 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 114.44/115.71 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 114.44/115.71 % SZS status Theorem % 114.44/115.71 % SZS output start Proof % 114.44/115.71 ( % 114.44/115.71 (declare-sort |tptp.'$ki_world'| 0) % 114.44/115.71 (declare-sort $$unsorted 0) % 114.44/115.71 (declare-const tptp.identity_relation $$unsorted) % 114.44/115.71 (declare-const tptp.successor_relation $$unsorted) % 114.44/115.71 (declare-const tptp.null_class $$unsorted) % 114.44/115.71 (declare-const tptp.element_relation $$unsorted) % 114.44/115.71 (declare-const tptp.universal_class $$unsorted) % 114.44/115.71 (declare-const tptp.subclass (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.qmltpeq (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 114.44/115.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.inductive (-> |tptp.'$ki_world'| $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 114.44/115.71 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 114.44/115.71 (declare-const tptp.disjoint (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.function (-> |tptp.'$ki_world'| $$unsorted Bool)) % 114.44/115.71 (declare-const tptp.member (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 114.44/115.71 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t2 () (@list @t1)) % 114.44/115.71 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t5 () (@var "X" $$unsorted)) % 114.44/115.71 (define @t6 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t5)) % 114.44/115.71 (define @t7 () (@list @t5)) % 114.44/115.71 (define @t8 () (@var "W0" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t9 () (tptp.qmltpeq @t8 @t5 @t5)) % 114.44/115.71 (define @t10 () (|tptp.'$ki_accessible'| @t1 @t8)) % 114.44/115.71 (define @t11 () (@list @t8)) % 114.44/115.71 (define @t12 () (forall @t11 (=> @t10 @t9))) % 114.44/115.71 (define @t13 () (=> @t6 @t12)) % 114.44/115.71 (define @t14 () (forall @t7 @t13)) % 114.44/115.71 (define @t15 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 114.44/115.71 (define @t16 () (=> @t15 @t14)) % 114.44/115.71 (define @t17 () (forall @t2 @t16)) % 114.44/115.71 (define @t18 () (@var "Y" $$unsorted)) % 114.44/115.71 (define @t19 () (@var "W2" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t20 () (@var "W1" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t21 () (|tptp.'$ki_accessible'| @t20 @t19)) % 114.44/115.71 (define @t22 () (@list @t19)) % 114.44/115.71 (define @t23 () (tptp.qmltpeq @t19 @t5 @t18)) % 114.44/115.71 (define @t24 () (forall @t22 (=> @t21 @t23))) % 114.44/115.71 (define @t25 () (|tptp.'$ki_accessible'| @t8 @t20)) % 114.44/115.71 (define @t26 () (@list @t20)) % 114.44/115.71 (define @t27 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t18)) % 114.44/115.71 (define @t28 () (@list @t18)) % 114.44/115.71 (define @t29 () (@var "Z" $$unsorted)) % 114.44/115.71 (define @t30 () (@var "W3" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t31 () (|tptp.'$ki_accessible'| @t19 @t30)) % 114.44/115.71 (define @t32 () (@list @t30)) % 114.44/115.71 (define @t33 () (|tptp.'$ki_exists_in_world_$i'| @t20 @t29)) % 114.44/115.71 (define @t34 () (@list @t29)) % 114.44/115.71 (define @t35 () (@var "C" $$unsorted)) % 114.44/115.71 (define @t36 () (@var "B" $$unsorted)) % 114.44/115.71 (define @t37 () (@var "A" $$unsorted)) % 114.44/115.71 (define @t38 () (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t37 @t36)))) % 114.44/115.71 (define @t39 () (|tptp.'$ki_exists_in_world_$i'| @t20 @t35)) % 114.44/115.71 (define @t40 () (@list @t35)) % 114.44/115.71 (define @t41 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t36)) % 114.44/115.71 (define @t42 () (@list @t36)) % 114.44/115.71 (define @t43 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t37)) % 114.44/115.71 (define @t44 () (@list @t37)) % 114.44/115.71 (define @t45 () (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t37 @t36)))) % 114.44/115.71 (define @t46 () (@var "D" $$unsorted)) % 114.44/115.71 (define @t47 () (@var "W4" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t48 () (|tptp.'$ki_accessible'| @t30 @t47)) % 114.44/115.71 (define @t49 () (@list @t47)) % 114.44/115.71 (define @t50 () (forall @t49 (=> @t48 (tptp.qmltpeq @t47 @t37 @t36)))) % 114.44/115.71 (define @t51 () (|tptp.'$ki_exists_in_world_$i'| @t19 @t46)) % 114.44/115.71 (define @t52 () (@list @t46)) % 114.44/115.71 (define @t53 () (tptp.subclass @t19 @t5 @t18)) % 114.44/115.71 (define @t54 () (forall @t22 (=> @t21 @t53))) % 114.44/115.71 (define @t55 () (@var "U" $$unsorted)) % 114.44/115.71 (define @t56 () (forall @t49 (=> @t48 (tptp.member @t47 @t55 @t18)))) % 114.44/115.71 (define @t57 () (forall @t49 (=> @t48 (tptp.member @t47 @t55 @t5)))) % 114.44/115.71 (define @t58 () (|tptp.'$ki_exists_in_world_$i'| @t19 @t55)) % 114.44/115.71 (define @t59 () (@list @t55)) % 114.44/115.71 (define @t60 () (forall @t22 (=> @t21 (forall @t59 (=> @t58 (forall @t32 (=> @t31 (=> @t57 @t56)))))))) % 114.44/115.71 (define @t61 () (tptp.subclass @t19 @t18 @t5)) % 114.44/115.71 (define @t62 () (forall @t22 (=> @t21 @t61))) % 114.44/115.71 (define @t63 () (and @t54 @t62)) % 114.44/115.71 (define @t64 () (=> @t63 @t24)) % 114.44/115.71 (define @t65 () (=> @t25 @t64)) % 114.44/115.71 (define @t66 () (forall @t26 @t65)) % 114.44/115.71 (define @t67 () (=> @t24 @t63)) % 114.44/115.71 (define @t68 () (=> @t25 @t67)) % 114.44/115.71 (define @t69 () (forall @t26 @t68)) % 114.44/115.71 (define @t70 () (and @t69 @t66)) % 114.44/115.71 (define @t71 () (=> @t27 @t70)) % 114.44/115.71 (define @t72 () (forall @t28 @t71)) % 114.44/115.71 (define @t73 () (=> @t10 @t72)) % 114.44/115.71 (define @t74 () (forall @t11 @t73)) % 114.44/115.71 (define @t75 () (=> @t6 @t74)) % 114.44/115.71 (define @t76 () (forall @t7 @t75)) % 114.44/115.71 (define @t77 () (=> @t15 @t76)) % 114.44/115.71 (define @t78 () (forall @t2 @t77)) % 114.44/115.71 (define @t79 () (tptp.unordered_pair @t5 @t18)) % 114.44/115.71 (define @t80 () (forall @t32 (=> @t31 (tptp.member @t30 @t55 @t79)))) % 114.44/115.71 (define @t81 () (and (forall @t32 (=> @t31 (tptp.member @t30 @t55 tptp.universal_class))) (or (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t55 @t5))) (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t55 @t18)))))) % 114.44/115.71 (define @t82 () (|tptp.'$ki_exists_in_world_$i'| @t20 @t18)) % 114.44/115.71 (define @t83 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t5)) % 114.44/115.71 (define @t84 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t55)) % 114.44/115.71 (define @t85 () (tptp.singleton @t5)) % 114.44/115.71 (define @t86 () (tptp.singleton @t18)) % 114.44/115.71 (define @t87 () (tptp.ordered_pair @t5 @t18)) % 114.44/115.71 (define @t88 () (tptp.cross_product @t5 @t18)) % 114.44/115.71 (define @t89 () (@var "V" $$unsorted)) % 114.44/115.71 (define @t90 () (tptp.ordered_pair @t55 @t89)) % 114.44/115.71 (define @t91 () (forall @t49 (=> @t48 (tptp.member @t47 @t90 @t88)))) % 114.44/115.71 (define @t92 () (and @t57 (forall @t49 (=> @t48 (tptp.member @t47 @t89 @t18))))) % 114.44/115.71 (define @t93 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t89)) % 114.44/115.71 (define @t94 () (@list @t89)) % 114.44/115.71 (define @t95 () (forall @t22 (=> @t21 (tptp.member @t19 @t87 tptp.element_relation)))) % 114.44/115.71 (define @t96 () (forall @t22 (=> @t21 (tptp.member @t19 @t18 tptp.universal_class)))) % 114.44/115.71 (define @t97 () (and @t96 (forall @t22 (=> @t21 (tptp.member @t19 @t5 @t18))))) % 114.44/115.71 (define @t98 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 114.44/115.71 (define @t99 () (forall @t32 (=> @t31 (tptp.member @t30 @t29 (tptp.intersection @t5 @t18))))) % 114.44/115.71 (define @t100 () (forall @t32 (=> @t31 (tptp.member @t30 @t29 @t18)))) % 114.44/115.71 (define @t101 () (forall @t32 (=> @t31 (tptp.member @t30 @t29 @t5)))) % 114.44/115.71 (define @t102 () (and @t101 @t100)) % 114.44/115.71 (define @t103 () (forall @t22 (=> @t21 (tptp.member @t19 @t29 (tptp.complement @t5))))) % 114.44/115.71 (define @t104 () (forall @t22 (=> @t21 (tptp.member @t19 @t29 tptp.universal_class)))) % 114.44/115.71 (define @t105 () (and @t104 (forall @t22 (=> @t21 (not @t101))))) % 114.44/115.71 (define @t106 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t29)) % 114.44/115.71 (define @t107 () (@var "XR" $$unsorted)) % 114.44/115.71 (define @t108 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t107)) % 114.44/115.71 (define @t109 () (@list @t107)) % 114.44/115.71 (define @t110 () (forall @t22 (=> @t21 (tptp.member @t19 @t29 (tptp.domain_of @t5))))) % 114.44/115.71 (define @t111 () (and @t104 (forall @t22 (=> @t21 (not (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.restrict @t5 (tptp.singleton @t29) tptp.universal_class) tptp.null_class)))))))) % 114.44/115.71 (define @t112 () (tptp.rotate @t5)) % 114.44/115.71 (define @t113 () (@var "W" $$unsorted)) % 114.44/115.71 (define @t114 () (tptp.ordered_pair @t90 @t113)) % 114.44/115.71 (define @t115 () (forall @t49 (=> @t48 (tptp.member @t47 @t114 @t112)))) % 114.44/115.71 (define @t116 () (tptp.cross_product @t98 tptp.universal_class)) % 114.44/115.71 (define @t117 () (forall @t49 (=> @t48 (tptp.member @t47 @t114 @t116)))) % 114.44/115.71 (define @t118 () (and @t117 (forall @t49 (=> @t48 (tptp.member @t47 (tptp.ordered_pair (tptp.ordered_pair @t89 @t113) @t55) @t5))))) % 114.44/115.71 (define @t119 () (@list @t113)) % 114.44/115.71 (define @t120 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t55)) % 114.44/115.71 (define @t121 () (tptp.flip @t5)) % 114.44/115.71 (define @t122 () (forall @t49 (=> @t48 (tptp.member @t47 @t114 @t121)))) % 114.44/115.71 (define @t123 () (and @t117 (forall @t49 (=> @t48 (tptp.member @t47 (tptp.ordered_pair (tptp.ordered_pair @t89 @t55) @t113) @t5))))) % 114.44/115.71 (define @t124 () (forall @t32 (=> @t31 (tptp.member @t30 @t29 (tptp.union @t5 @t18))))) % 114.44/115.71 (define @t125 () (or @t101 @t100)) % 114.44/115.71 (define @t126 () (tptp.successor @t5)) % 114.44/115.71 (define @t127 () (forall @t22 (=> @t21 (tptp.member @t19 @t87 tptp.successor_relation)))) % 114.44/115.71 (define @t128 () (forall @t22 (=> @t21 (tptp.member @t19 @t5 tptp.universal_class)))) % 114.44/115.71 (define @t129 () (and @t128 @t96 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t126 @t18))))) % 114.44/115.71 (define @t130 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t18)) % 114.44/115.71 (define @t131 () (forall @t26 (=> @t25 (tptp.inductive @t20 @t5)))) % 114.44/115.71 (define @t132 () (and (forall @t26 (=> @t25 (tptp.member @t20 tptp.null_class @t5))) (forall @t26 (=> @t25 (tptp.subclass @t20 (tptp.image tptp.successor_relation @t5) @t5))))) % 114.44/115.71 (define @t133 () (tptp.sum_class @t5)) % 114.44/115.71 (define @t134 () (forall @t22 (=> @t21 (tptp.member @t19 @t55 @t133)))) % 114.44/115.71 (define @t135 () (exists @t28 (and @t82 (forall @t22 (=> @t21 (tptp.member @t19 @t55 @t18))) (forall @t22 (=> @t21 (tptp.member @t19 @t18 @t5)))))) % 114.44/115.71 (define @t136 () (forall @t22 (=> @t21 (tptp.member @t19 @t55 (tptp.power_class @t5))))) % 114.44/115.71 (define @t137 () (and (forall @t22 (=> @t21 (tptp.member @t19 @t55 tptp.universal_class))) (forall @t22 (=> @t21 (tptp.subclass @t19 @t55 @t5))))) % 114.44/115.71 (define @t138 () (forall @t26 (=> @t25 (tptp.member @t20 @t55 tptp.universal_class)))) % 114.44/115.71 (define @t139 () (@var "YR" $$unsorted)) % 114.44/115.71 (define @t140 () (tptp.compose @t139 @t107)) % 114.44/115.71 (define @t141 () (|tptp.'$ki_exists_in_world_$i'| @t8 @t139)) % 114.44/115.71 (define @t142 () (@list @t139)) % 114.44/115.71 (define @t143 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t107)) % 114.44/115.71 (define @t144 () (forall @t49 (=> @t48 (tptp.member @t47 @t90 @t140)))) % 114.44/115.71 (define @t145 () (and (forall @t49 (=> @t48 (tptp.member @t47 @t55 tptp.universal_class))) (forall @t49 (=> @t48 (tptp.member @t47 @t89 (tptp.image @t139 (tptp.image @t139 (tptp.singleton @t55)))))))) % 114.44/115.71 (define @t146 () (@var "XF" $$unsorted)) % 114.44/115.71 (define @t147 () (forall @t26 (=> @t25 (tptp.function @t20 @t146)))) % 114.44/115.71 (define @t148 () (and (forall @t26 (=> @t25 (tptp.subclass @t20 @t146 @t98))) (forall @t26 (=> @t25 (tptp.subclass @t20 (tptp.compose @t146 (tptp.inverse @t146)) tptp.identity_relation))))) % 114.44/115.71 (define @t149 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t146)) % 114.44/115.71 (define @t150 () (@list @t146)) % 114.44/115.71 (define @t151 () (forall @t22 (=> @t21 (tptp.disjoint @t19 @t5 @t18)))) % 114.44/115.71 (define @t152 () (forall @t22 (=> @t21 (forall @t59 (=> @t58 (forall @t32 (=> @t31 (not (and @t57 @t56))))))))) % 114.44/115.71 (define @t153 () (tptp.apply @t146 @t18)) % 114.44/115.71 (define @t154 () (tptp.subclass @t8 @t5 @t5)) % 114.44/115.71 (define @t155 () (forall @t11 (=> @t10 @t154))) % 114.44/115.71 (define @t156 () (=> @t6 @t155)) % 114.44/115.71 (define @t157 () (forall @t7 @t156)) % 114.44/115.71 (define @t158 () (=> @t15 @t157)) % 114.44/115.71 (define @t159 () (forall @t2 @t158)) % 114.44/115.71 (define @t160 () (not @t159)) % 114.44/115.71 (define @t161 () (@var "BOUND_VARIABLE_9191" $$unsorted)) % 114.44/115.71 (define @t162 () (@var "BOUND_VARIABLE_9193" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t163 () (tptp.qmltpeq @t162 @t161 @t161)) % 114.44/115.71 (define @t164 () (not (|tptp.'$ki_accessible'| @t1 @t162))) % 114.44/115.71 (define @t165 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t161))) % 114.44/115.71 (define @t166 () (not @t15)) % 114.44/115.71 (define @t167 () (or @t166 @t165 @t164 @t163)) % 114.44/115.71 (define @t168 () (or @t165 @t164 @t163)) % 114.44/115.71 (define @t169 () (or @t166 @t168)) % 114.44/115.71 (define @t170 () (@list @t1 @t161 @t162)) % 114.44/115.71 (define @t171 () (forall @t170 @t169)) % 114.44/115.71 (define @t172 () (@list @t161 @t162)) % 114.44/115.71 (define @t173 () (forall @t172 @t169)) % 114.44/115.71 (define @t174 () (forall @t172 @t168)) % 114.44/115.71 (define @t175 () (@var "BOUND_VARIABLE_9175" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t176 () (or @t166 @t174)) % 114.44/115.71 (define @t177 () (tptp.qmltpeq @t175 @t5 @t5)) % 114.44/115.71 (define @t178 () (not (|tptp.'$ki_accessible'| @t1 @t175))) % 114.44/115.71 (define @t179 () (not @t6)) % 114.44/115.71 (define @t180 () (or @t179 @t178 @t177)) % 114.44/115.71 (define @t181 () (@list @t5 @t175)) % 114.44/115.71 (define @t182 () (forall @t181 @t180)) % 114.44/115.71 (define @t183 () (or @t178 @t177)) % 114.44/115.71 (define @t184 () (or @t179 @t183)) % 114.44/115.71 (define @t185 () (forall @t181 @t184)) % 114.44/115.71 (define @t186 () (@list @t175)) % 114.44/115.71 (define @t187 () (forall @t186 @t184)) % 114.44/115.71 (define @t188 () (forall @t186 @t183)) % 114.44/115.71 (define @t189 () (@list @t8)) % 114.44/115.71 (define @t190 () (or @t179 @t188)) % 114.44/115.71 (define @t191 () (not @t10)) % 114.44/115.71 (define @t192 () (forall @t11 (or @t191 @t9))) % 114.44/115.71 (define @t193 () (@var "BOUND_VARIABLE_18733" $$unsorted)) % 114.44/115.71 (define @t194 () (@var "BOUND_VARIABLE_18729" $$unsorted)) % 114.44/115.71 (define @t195 () (@var "BOUND_VARIABLE_18743" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t196 () (@var "BOUND_VARIABLE_18741" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t197 () (not (|tptp.'$ki_accessible'| @t196 @t19))) % 114.44/115.71 (define @t198 () (@var "BOUND_VARIABLE_18731" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t199 () (@var "BOUND_VARIABLE_18739" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t200 () (@var "BOUND_VARIABLE_18735" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t201 () (@var "BOUND_VARIABLE_18737" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t202 () (and (or (not (|tptp.'$ki_accessible'| @t198 @t200)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t200 @t19)) (tptp.qmltpeq @t19 @t194 @t193)))) (and (or (not (|tptp.'$ki_accessible'| @t200 @t201)) (tptp.subclass @t201 @t194 @t193)) (or (not (|tptp.'$ki_accessible'| @t200 @t199)) (tptp.subclass @t199 @t193 @t194)))) (or (not (|tptp.'$ki_accessible'| @t198 @t196)) (not (forall @t22 (or @t197 (tptp.subclass @t19 @t194 @t193)))) (not (forall @t22 (or @t197 (tptp.subclass @t19 @t193 @t194)))) (not (|tptp.'$ki_accessible'| @t196 @t195)) (tptp.qmltpeq @t195 @t194 @t193)))) % 114.44/115.71 (define @t203 () (not (|tptp.'$ki_exists_in_world_$i'| @t198 @t193))) % 114.44/115.71 (define @t204 () (not (|tptp.'$ki_accessible'| @t1 @t198))) % 114.44/115.71 (define @t205 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t194))) % 114.44/115.71 (define @t206 () (or @t166 @t205 @t204 @t203 @t202)) % 114.44/115.71 (define @t207 () (or @t205 @t204 @t203 @t202)) % 114.44/115.71 (define @t208 () (or @t166 @t207)) % 114.44/115.71 (define @t209 () (@list @t1 @t194 @t198 @t193 @t200 @t201 @t199 @t196 @t195)) % 114.44/115.71 (define @t210 () (forall @t209 @t208)) % 114.44/115.71 (define @t211 () (@list @t194 @t198 @t193 @t200 @t201 @t199 @t196 @t195)) % 114.44/115.71 (define @t212 () (forall @t211 @t208)) % 114.44/115.71 (define @t213 () (forall @t211 @t207)) % 114.44/115.71 (define @t214 () (@var "BOUND_VARIABLE_18678" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t215 () (@var "BOUND_VARIABLE_18676" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t216 () (@var "BOUND_VARIABLE_18674" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t217 () (@var "BOUND_VARIABLE_18672" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t218 () (@var "BOUND_VARIABLE_18670" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t219 () (@var "BOUND_VARIABLE_18668" $$unsorted)) % 114.44/115.71 (define @t220 () (@var "BOUND_VARIABLE_18666" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t221 () (or @t166 @t213)) % 114.44/115.71 (define @t222 () (not (|tptp.'$ki_accessible'| @t215 @t19))) % 114.44/115.71 (define @t223 () (and (or (not (|tptp.'$ki_accessible'| @t220 @t218)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t218 @t19)) (tptp.qmltpeq @t19 @t5 @t219)))) (and (or (not (|tptp.'$ki_accessible'| @t218 @t217)) (tptp.subclass @t217 @t5 @t219)) (or (not (|tptp.'$ki_accessible'| @t218 @t216)) (tptp.subclass @t216 @t219 @t5)))) (or (not (|tptp.'$ki_accessible'| @t220 @t215)) (not (forall @t22 (or @t222 (tptp.subclass @t19 @t5 @t219)))) (not (forall @t22 (or @t222 (tptp.subclass @t19 @t219 @t5)))) (not (|tptp.'$ki_accessible'| @t215 @t214)) (tptp.qmltpeq @t214 @t5 @t219)))) % 114.44/115.71 (define @t224 () (not (|tptp.'$ki_exists_in_world_$i'| @t220 @t219))) % 114.44/115.71 (define @t225 () (not (|tptp.'$ki_accessible'| @t1 @t220))) % 114.44/115.71 (define @t226 () (or @t179 @t225 @t224 @t223)) % 114.44/115.71 (define @t227 () (@list @t5 @t220 @t219 @t218 @t217 @t216 @t215 @t214)) % 114.44/115.71 (define @t228 () (forall @t227 @t226)) % 114.44/115.71 (define @t229 () (or @t225 @t224 @t223)) % 114.44/115.71 (define @t230 () (or @t179 @t229)) % 114.44/115.71 (define @t231 () (forall @t227 @t230)) % 114.44/115.71 (define @t232 () (@list @t220 @t219 @t218 @t217 @t216 @t215 @t214)) % 114.44/115.71 (define @t233 () (forall @t232 @t230)) % 114.44/115.71 (define @t234 () (forall @t232 @t229)) % 114.44/115.71 (define @t235 () (@var "BOUND_VARIABLE_18617" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t236 () (@var "BOUND_VARIABLE_18615" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t237 () (@var "BOUND_VARIABLE_18613" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t238 () (@var "BOUND_VARIABLE_18611" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t239 () (@var "BOUND_VARIABLE_18609" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t240 () (@var "BOUND_VARIABLE_18607" $$unsorted)) % 114.44/115.71 (define @t241 () (or @t179 @t234)) % 114.44/115.71 (define @t242 () (not (|tptp.'$ki_accessible'| @t236 @t19))) % 114.44/115.71 (define @t243 () (and (or (not (|tptp.'$ki_accessible'| @t8 @t239)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t239 @t19)) (tptp.qmltpeq @t19 @t5 @t240)))) (and (or (not (|tptp.'$ki_accessible'| @t239 @t238)) (tptp.subclass @t238 @t5 @t240)) (or (not (|tptp.'$ki_accessible'| @t239 @t237)) (tptp.subclass @t237 @t240 @t5)))) (or (not (|tptp.'$ki_accessible'| @t8 @t236)) (not (forall @t22 (or @t242 (tptp.subclass @t19 @t5 @t240)))) (not (forall @t22 (or @t242 (tptp.subclass @t19 @t240 @t5)))) (not (|tptp.'$ki_accessible'| @t236 @t235)) (tptp.qmltpeq @t235 @t5 @t240)))) % 114.44/115.71 (define @t244 () (not (|tptp.'$ki_exists_in_world_$i'| @t8 @t240))) % 114.44/115.71 (define @t245 () (or @t191 @t244 @t243)) % 114.44/115.71 (define @t246 () (@list @t8 @t240 @t239 @t238 @t237 @t236 @t235)) % 114.44/115.71 (define @t247 () (forall @t246 @t245)) % 114.44/115.71 (define @t248 () (or @t244 @t243)) % 114.44/115.71 (define @t249 () (or @t191 @t248)) % 114.44/115.71 (define @t250 () (forall @t246 @t249)) % 114.44/115.71 (define @t251 () (@list @t240 @t239 @t238 @t237 @t236 @t235)) % 114.44/115.71 (define @t252 () (forall @t251 @t249)) % 114.44/115.71 (define @t253 () (forall @t251 @t248)) % 114.44/115.71 (define @t254 () (@var "BOUND_VARIABLE_18583" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t255 () (@var "BOUND_VARIABLE_18581" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t256 () (@var "BOUND_VARIABLE_18562" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t257 () (@var "BOUND_VARIABLE_18560" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t258 () (@var "BOUND_VARIABLE_18558" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t259 () (or @t191 @t253)) % 114.44/115.71 (define @t260 () (not (|tptp.'$ki_accessible'| @t255 @t19))) % 114.44/115.71 (define @t261 () (or (not (|tptp.'$ki_accessible'| @t8 @t255)) (not (forall @t22 (or @t260 @t53))) (not (forall @t22 (or @t260 @t61))) (not (|tptp.'$ki_accessible'| @t255 @t254)) (tptp.qmltpeq @t254 @t5 @t18))) % 114.44/115.71 (define @t262 () (or (not (|tptp.'$ki_accessible'| @t8 @t258)) (not (forall @t22 (or (not (|tptp.'$ki_accessible'| @t258 @t19)) @t23))) (and (or (not (|tptp.'$ki_accessible'| @t258 @t257)) (tptp.subclass @t257 @t5 @t18)) (or (not (|tptp.'$ki_accessible'| @t258 @t256)) (tptp.subclass @t256 @t18 @t5))))) % 114.44/115.71 (define @t263 () (and @t262 @t261)) % 114.44/115.71 (define @t264 () (not @t27)) % 114.44/115.71 (define @t265 () (or @t264 @t263)) % 114.44/115.71 (define @t266 () (forall (@list @t18 @t258 @t257 @t256 @t255 @t254) @t265)) % 114.44/115.71 (define @t267 () (@list @t258 @t257 @t256 @t255 @t254)) % 114.44/115.71 (define @t268 () (forall @t267 @t265)) % 114.44/115.71 (define @t269 () (forall (@list @t255 @t254) @t261)) % 114.44/115.71 (define @t270 () (@var "BOUND_VARIABLE_18542" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t271 () (forall @t267 @t261)) % 114.44/115.71 (define @t272 () (forall (@list @t258 @t257 @t256) @t262)) % 114.44/115.71 (define @t273 () (@var "BOUND_VARIABLE_18523" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t274 () (@var "BOUND_VARIABLE_18517" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t275 () (forall @t267 @t262)) % 114.44/115.71 (define @t276 () (and @t275 @t271)) % 114.44/115.71 (define @t277 () (forall @t267 @t263)) % 114.44/115.71 (define @t278 () (or @t264 @t277)) % 114.44/115.71 (define @t279 () (tptp.qmltpeq @t270 @t5 @t18)) % 114.44/115.71 (define @t280 () (not (|tptp.'$ki_accessible'| @t20 @t270))) % 114.44/115.71 (define @t281 () (not @t21)) % 114.44/115.71 (define @t282 () (forall @t22 (or @t281 @t61))) % 114.44/115.71 (define @t283 () (not @t282)) % 114.44/115.71 (define @t284 () (forall @t22 (or @t281 @t53))) % 114.44/115.71 (define @t285 () (not @t284)) % 114.44/115.71 (define @t286 () (not @t25)) % 114.44/115.71 (define @t287 () (or @t286 @t285 @t283 @t280 @t279)) % 114.44/115.71 (define @t288 () (@list @t20 @t270)) % 114.44/115.71 (define @t289 () (or (not (|tptp.'$ki_accessible'| @t20 @t273)) (tptp.subclass @t273 @t18 @t5))) % 114.44/115.71 (define @t290 () (or (not (|tptp.'$ki_accessible'| @t20 @t274)) (tptp.subclass @t274 @t5 @t18))) % 114.44/115.71 (define @t291 () (and @t290 @t289)) % 114.44/115.71 (define @t292 () (forall @t22 (or @t281 @t23))) % 114.44/115.71 (define @t293 () (not @t292)) % 114.44/115.71 (define @t294 () (or @t286 @t293 @t291)) % 114.44/115.71 (define @t295 () (forall (@list @t20 @t274 @t273) @t294)) % 114.44/115.71 (define @t296 () (and @t295 (forall @t288 @t287))) % 114.44/115.71 (define @t297 () (or @t280 @t279)) % 114.44/115.71 (define @t298 () (or @t286 @t285 @t283 @t297)) % 114.44/115.71 (define @t299 () (forall @t288 @t298)) % 114.44/115.71 (define @t300 () (@list @t270)) % 114.44/115.71 (define @t301 () (forall @t300 @t298)) % 114.44/115.71 (define @t302 () (forall @t300 @t297)) % 114.44/115.71 (define @t303 () (@list @t19)) % 114.44/115.71 (define @t304 () (or @t286 @t285 @t283 @t302)) % 114.44/115.71 (define @t305 () (or @t286 @t285 @t283 @t292)) % 114.44/115.71 (define @t306 () (or @t285 @t283 @t292)) % 114.44/115.71 (define @t307 () (and @t284 @t282)) % 114.44/115.71 (define @t308 () (=> @t307 @t292)) % 114.44/115.71 (define @t309 () (@list @t274 @t273)) % 114.44/115.71 (define @t310 () (forall @t309 @t294)) % 114.44/115.71 (define @t311 () (forall (@list @t273) @t289)) % 114.44/115.71 (define @t312 () (forall @t309 @t289)) % 114.44/115.71 (define @t313 () (forall (@list @t274) @t290)) % 114.44/115.71 (define @t314 () (forall @t309 @t290)) % 114.44/115.71 (define @t315 () (and @t314 @t312)) % 114.44/115.71 (define @t316 () (forall @t309 @t291)) % 114.44/115.71 (define @t317 () (or @t286 @t293 @t316)) % 114.44/115.71 (define @t318 () (or @t286 @t293 @t307)) % 114.44/115.71 (define @t319 () (=> @t292 @t307)) % 114.44/115.71 (define @t320 () (@var "BOUND_VARIABLE_27088" $$unsorted)) % 114.44/115.71 (define @t321 () (@var "BOUND_VARIABLE_27090" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t322 () (tptp.subclass @t321 @t320 @t320)) % 114.44/115.71 (define @t323 () (not (|tptp.'$ki_accessible'| @t1 @t321))) % 114.44/115.71 (define @t324 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t320))) % 114.44/115.71 (define @t325 () (or @t166 @t324 @t323 @t322)) % 114.44/115.71 (define @t326 () (@list @t1 @t320 @t321)) % 114.44/115.71 (define @t327 () (forall @t326 @t325)) % 114.44/115.71 (define @t328 () (@quantifiers_skolemize @t327 1)) % 114.44/115.71 (define @t329 () (@quantifiers_skolemize @t327 0)) % 114.44/115.71 (define @t330 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t329)) % 114.44/115.71 (define @t331 () (not @t330)) % 114.44/115.71 (define @t332 () (not (forall @t22 (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t19)) (tptp.subclass @t19 @t328 @t328))))) % 114.44/115.71 (define @t333 () (or (not (|tptp.'$ki_accessible'| @t329 |tptp.'$ki_local_world'|)) @t332 @t332 @t331 (tptp.qmltpeq @t329 @t328 @t328))) % 114.44/115.71 (define @t334 () (@quantifiers_skolemize @t327 2)) % 114.44/115.71 (define @t335 () (tptp.subclass @t334 @t328 @t328)) % 114.44/115.71 (define @t336 () (|tptp.'$ki_accessible'| @t329 @t334)) % 114.44/115.71 (define @t337 () (not @t336)) % 114.44/115.71 (define @t338 () (forall @t22 (or (not (|tptp.'$ki_accessible'| @t329 @t19)) (tptp.qmltpeq @t19 @t328 @t328)))) % 114.44/115.71 (define @t339 () (not @t338)) % 114.44/115.71 (define @t340 () (|tptp.'$ki_accessible'| @t329 @t329)) % 114.44/115.71 (define @t341 () (not @t340)) % 114.44/115.71 (define @t342 () (or @t341 @t339 @t337 @t335)) % 114.44/115.71 (define @t343 () (or @t337 @t335)) % 114.44/115.71 (define @t344 () (and @t343 @t343)) % 114.44/115.71 (define @t345 () (or @t341 @t339 @t344)) % 114.44/115.71 (define @t346 () (and @t345 @t333)) % 114.44/115.71 (define @t347 () (|tptp.'$ki_exists_in_world_$i'| @t329 @t328)) % 114.44/115.71 (define @t348 () (not @t347)) % 114.44/115.71 (define @t349 () (or @t331 @t348 @t341 @t348 @t346)) % 114.44/115.71 (define @t350 () (forall @t209 @t206)) % 114.44/115.71 (define @t351 () (and @t342 @t333)) % 114.44/115.71 (define @t352 () (or @t331 @t348 @t341 @t348 @t351)) % 114.44/115.71 (define @t353 () (@list false)) % 114.44/115.71 (define @t354 () (or @t324 @t323 @t322)) % 114.44/115.71 (define @t355 () (or @t166 @t354)) % 114.44/115.71 (define @t356 () (forall @t326 @t355)) % 114.44/115.71 (define @t357 () (@list @t320 @t321)) % 114.44/115.71 (define @t358 () (forall @t357 @t355)) % 114.44/115.71 (define @t359 () (forall @t357 @t354)) % 114.44/115.71 (define @t360 () (@var "BOUND_VARIABLE_27073" |tptp.'$ki_world'|)) % 114.44/115.71 (define @t361 () (or @t166 @t359)) % 114.44/115.71 (define @t362 () (tptp.subclass @t360 @t5 @t5)) % 114.44/115.71 (define @t363 () (not (|tptp.'$ki_accessible'| @t1 @t360))) % 114.44/115.71 (define @t364 () (or @t179 @t363 @t362)) % 114.44/115.71 (define @t365 () (@list @t5 @t360)) % 114.44/115.71 (define @t366 () (forall @t365 @t364)) % 114.44/115.71 (define @t367 () (or @t363 @t362)) % 114.44/115.71 (define @t368 () (or @t179 @t367)) % 114.44/115.71 (define @t369 () (forall @t365 @t368)) % 114.44/115.71 (define @t370 () (@list @t360)) % 114.44/115.71 (define @t371 () (forall @t370 @t368)) % 114.44/115.71 (define @t372 () (forall @t370 @t367)) % 114.44/115.71 (define @t373 () (or @t179 @t372)) % 114.44/115.71 (define @t374 () (forall @t11 (or @t191 @t154))) % 114.44/115.71 (define @t375 () (or @t331 @t348 @t337 @t335)) % 114.44/115.71 (define @t376 () (@list true)) % 114.44/115.71 (define @t377 () (@list @t375)) % 114.44/115.71 (define @t378 () (@quantifiers_skolemize @t338 0)) % 114.44/115.71 (define @t379 () (tptp.qmltpeq @t378 @t328 @t328)) % 114.44/115.71 (define @t380 () (|tptp.'$ki_accessible'| @t329 @t378)) % 114.44/115.71 (define @t381 () (not @t380)) % 114.44/115.71 (define @t382 () (or @t381 @t379)) % 114.44/115.71 (define @t383 () (@list @t382)) % 114.44/115.71 (define @t384 () (or @t331 @t348 @t381 @t379)) % 114.44/115.71 (define @t385 () (not @t384)) % 114.44/115.71 (define @t386 () (forall @t170 @t167)) % 114.44/115.71 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 114.44/115.71 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and (|tptp.'$ki_accessible'| @t1 @t4) (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 114.44/115.71 (assume @p3 (forall (@list @t1 @t5) @t6)) % 114.44/115.71 (assume @p4 (forall @t2 (exists @t7 @t6))) % 114.44/115.71 (assume @p5 @t17) % 114.44/115.71 (assume @p6 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (=> @t24 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t18 @t5))))))))))))))) % 114.44/115.71 (assume @p7 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (forall @t34 (=> @t33 (forall @t22 (=> @t21 (=> (and (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t5 @t18))) (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t18 @t29)))) (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t5 @t29))))))))))))))))))) % 114.44/115.71 (assume @p8 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.apply @t37 @t35) (tptp.apply @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p9 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.apply @t35 @t37) (tptp.apply @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p10 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.complement @t37) (tptp.complement @t36)))))))))))))))) % 114.44/115.71 (assume @p11 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.compose @t37 @t35) (tptp.compose @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p12 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.compose @t35 @t37) (tptp.compose @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p13 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.cross_product @t37 @t35) (tptp.cross_product @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p14 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.cross_product @t35 @t37) (tptp.cross_product @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p15 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.domain_of @t37) (tptp.domain_of @t36)))))))))))))))) % 114.44/115.71 (assume @p16 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.first @t37) (tptp.first @t36)))))))))))))))) % 114.44/115.71 (assume @p17 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.flip @t37) (tptp.flip @t36)))))))))))))))) % 114.44/115.71 (assume @p18 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.image @t37 @t35) (tptp.image @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p19 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.image @t35 @t37) (tptp.image @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p20 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.intersection @t37 @t35) (tptp.intersection @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p21 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.intersection @t35 @t37) (tptp.intersection @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p22 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.inverse @t37) (tptp.inverse @t36)))))))))))))))) % 114.44/115.71 (assume @p23 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.ordered_pair @t37 @t35) (tptp.ordered_pair @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p24 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.ordered_pair @t35 @t37) (tptp.ordered_pair @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p25 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.power_class @t37) (tptp.power_class @t36)))))))))))))))) % 114.44/115.71 (assume @p26 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.range_of @t37) (tptp.range_of @t36)))))))))))))))) % 114.44/115.71 (assume @p27 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (forall @t52 (=> @t51 (forall @t32 (=> @t31 (=> @t50 (forall @t49 (=> @t48 (tptp.qmltpeq @t47 (tptp.restrict @t37 @t35 @t46) (tptp.restrict @t36 @t35 @t46)))))))))))))))))))))))) % 114.44/115.71 (assume @p28 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (forall @t52 (=> @t51 (forall @t32 (=> @t31 (=> @t50 (forall @t49 (=> @t48 (tptp.qmltpeq @t47 (tptp.restrict @t35 @t37 @t46) (tptp.restrict @t35 @t36 @t46)))))))))))))))))))))))) % 114.44/115.71 (assume @p29 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (forall @t52 (=> @t51 (forall @t32 (=> @t31 (=> @t50 (forall @t49 (=> @t48 (tptp.qmltpeq @t47 (tptp.restrict @t35 @t46 @t37) (tptp.restrict @t35 @t46 @t36)))))))))))))))))))))))) % 114.44/115.71 (assume @p30 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.rotate @t37) (tptp.rotate @t36)))))))))))))))) % 114.44/115.71 (assume @p31 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.second @t37) (tptp.second @t36)))))))))))))))) % 114.44/115.71 (assume @p32 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.singleton @t37) (tptp.singleton @t36)))))))))))))))) % 114.44/115.71 (assume @p33 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.successor @t37) (tptp.successor @t36)))))))))))))))) % 114.44/115.71 (assume @p34 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> @t45 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.sum_class @t37) (tptp.sum_class @t36)))))))))))))))) % 114.44/115.71 (assume @p35 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.union @t37 @t35) (tptp.union @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p36 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.union @t35 @t37) (tptp.union @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p37 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.unordered_pair @t37 @t35) (tptp.unordered_pair @t36 @t35)))))))))))))))))))) % 114.44/115.71 (assume @p38 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> @t38 (forall @t32 (=> @t31 (tptp.qmltpeq @t30 (tptp.unordered_pair @t35 @t37) (tptp.unordered_pair @t35 @t36)))))))))))))))))))) % 114.44/115.71 (assume @p39 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.disjoint @t30 @t37 @t35)))) (forall @t32 (=> @t31 (tptp.disjoint @t30 @t36 @t35))))))))))))))))))) % 114.44/115.71 (assume @p40 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.disjoint @t30 @t35 @t37)))) (forall @t32 (=> @t31 (tptp.disjoint @t30 @t35 @t36))))))))))))))))))) % 114.44/115.71 (assume @p41 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> (and @t45 (forall @t22 (=> @t21 (tptp.function @t19 @t37)))) (forall @t22 (=> @t21 (tptp.function @t19 @t36))))))))))))))) % 114.44/115.71 (assume @p42 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (=> (and @t45 (forall @t22 (=> @t21 (tptp.inductive @t19 @t37)))) (forall @t22 (=> @t21 (tptp.inductive @t19 @t36))))))))))))))) % 114.44/115.71 (assume @p43 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.member @t30 @t37 @t35)))) (forall @t32 (=> @t31 (tptp.member @t30 @t36 @t35))))))))))))))))))) % 114.44/115.71 (assume @p44 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.member @t30 @t35 @t37)))) (forall @t32 (=> @t31 (tptp.member @t30 @t35 @t36))))))))))))))))))) % 114.44/115.71 (assume @p45 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.subclass @t30 @t37 @t35)))) (forall @t32 (=> @t31 (tptp.subclass @t30 @t36 @t35))))))))))))))))))) % 114.44/115.71 (assume @p46 (forall @t2 (=> @t15 (forall @t44 (=> @t43 (forall @t11 (=> @t10 (forall @t42 (=> @t41 (forall @t26 (=> @t25 (forall @t40 (=> @t39 (forall @t22 (=> @t21 (=> (and @t38 (forall @t32 (=> @t31 (tptp.subclass @t30 @t35 @t37)))) (forall @t32 (=> @t31 (tptp.subclass @t30 @t35 @t36))))))))))))))))))) % 114.44/115.71 (assume @p47 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (and (forall @t26 (=> @t25 (=> @t54 @t60))) (forall @t26 (=> @t25 (=> @t60 @t54))))))))))))) % 114.44/115.71 (assume @p48 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (tptp.subclass @t8 @t5 tptp.universal_class)))))))) % 114.44/115.71 (assume @p49 @t78) % 114.44/115.71 (assume @p50 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (forall @t7 (=> @t83 (forall @t26 (=> @t25 (forall @t28 (=> @t82 (and (forall @t22 (=> @t21 (=> @t80 @t81))) (forall @t22 (=> @t21 (=> @t81 @t80))))))))))))))))) % 114.44/115.71 (assume @p51 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (tptp.member @t20 @t79 tptp.universal_class)))))))))))) % 114.44/115.71 (assume @p52 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (tptp.qmltpeq @t8 @t85 (tptp.unordered_pair @t5 @t5))))))))) % 114.44/115.71 (assume @p53 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (tptp.qmltpeq @t20 @t87 (tptp.unordered_pair @t85 (tptp.unordered_pair @t5 @t86)))))))))))))) % 114.44/115.71 (assume @p54 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (forall @t94 (=> @t93 (forall @t26 (=> @t25 (forall @t7 (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t5) (forall @t22 (=> @t21 (forall @t28 (=> (|tptp.'$ki_exists_in_world_$i'| @t19 @t18) (and (forall @t32 (=> @t31 (=> @t91 @t92))) (forall @t32 (=> @t31 (=> @t92 @t91))))))))))))))))))))) % 114.44/115.71 (assume @p55 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (forall @t34 (=> @t33 (forall @t22 (=> @t21 (=> (forall @t32 (=> @t31 (tptp.member @t30 @t29 @t88))) (forall @t32 (=> @t31 (tptp.qmltpeq @t30 @t29 (tptp.ordered_pair (tptp.first @t29) (tptp.second @t29))))))))))))))))))))) % 114.44/115.71 (assume @p56 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (and (forall @t26 (=> @t25 (=> @t95 @t97))) (forall @t26 (=> @t25 (=> @t97 @t95))))))))))))) % 114.44/115.71 (assume @p57 (forall @t2 (=> @t15 (tptp.subclass @t1 tptp.element_relation @t98)))) % 114.44/115.71 (assume @p58 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (forall @t34 (=> @t33 (and (forall @t22 (=> @t21 (=> @t99 @t102))) (forall @t22 (=> @t21 (=> @t102 @t99))))))))))))))))) % 114.44/115.71 (assume @p59 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t34 (=> @t106 (and (forall @t26 (=> @t25 (=> @t103 @t105))) (forall @t26 (=> @t25 (=> @t105 @t103))))))))))))) % 114.44/115.71 (assume @p60 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t109 (=> @t108 (forall @t26 (=> @t25 (forall @t28 (=> @t82 (forall @t22 (=> @t21 (tptp.qmltpeq @t19 (tptp.restrict @t107 @t5 @t18) (tptp.intersection @t107 @t88))))))))))))))))) % 114.44/115.71 (assume @p61 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (not (forall @t26 (=> @t25 (tptp.member @t20 @t5 tptp.null_class))))))))))) % 114.44/115.71 (assume @p62 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t34 (=> @t106 (and (forall @t26 (=> @t25 (=> @t110 @t111))) (forall @t26 (=> @t25 (=> @t111 @t110))))))))))))) % 114.44/115.71 (assume @p63 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t59 (=> @t120 (forall @t26 (=> @t25 (forall @t94 (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t89) (forall @t22 (=> @t21 (forall @t119 (=> (|tptp.'$ki_exists_in_world_$i'| @t19 @t113) (and (forall @t32 (=> @t31 (=> @t115 @t118))) (forall @t32 (=> @t31 (=> @t118 @t115))))))))))))))))))))) % 114.44/115.71 (assume @p64 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (tptp.subclass @t8 @t112 @t116)))))))) % 114.44/115.71 (assume @p65 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (forall @t94 (=> @t93 (forall @t26 (=> @t25 (forall @t119 (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t113) (forall @t22 (=> @t21 (forall @t7 (=> (|tptp.'$ki_exists_in_world_$i'| @t19 @t5) (and (forall @t32 (=> @t31 (=> @t122 @t123))) (forall @t32 (=> @t31 (=> @t123 @t122))))))))))))))))))))) % 114.44/115.71 (assume @p66 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (tptp.subclass @t8 @t121 @t116)))))))) % 114.44/115.71 (assume @p67 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (forall @t34 (=> @t33 (and (forall @t22 (=> @t21 (=> @t124 @t125))) (forall @t22 (=> @t21 (=> @t125 @t124))))))))))))))))) % 114.44/115.71 (assume @p68 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (tptp.qmltpeq @t8 @t126 (tptp.union @t5 @t85))))))))) % 114.44/115.71 (assume @p69 (forall @t2 (=> @t15 (tptp.subclass @t1 tptp.successor_relation @t98)))) % 114.44/115.71 (assume @p70 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (and (forall @t26 (=> @t25 (=> @t127 @t129))) (forall @t26 (=> @t25 (=> @t129 @t127))))))))))))) % 114.44/115.71 (assume @p71 (forall @t2 (=> @t15 (forall @t28 (=> @t130 (forall @t11 (=> @t10 (tptp.qmltpeq @t8 (tptp.inverse @t18) (tptp.domain_of (tptp.flip (tptp.cross_product @t18 tptp.universal_class))))))))))) % 114.44/115.71 (assume @p72 (forall @t2 (=> @t15 (forall @t34 (=> (|tptp.'$ki_exists_in_world_$i'| @t1 @t29) (forall @t11 (=> @t10 (tptp.qmltpeq @t8 (tptp.range_of @t29) (tptp.domain_of (tptp.inverse @t29)))))))))) % 114.44/115.71 (assume @p73 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t109 (=> @t108 (forall @t26 (=> @t25 (tptp.qmltpeq @t20 (tptp.image @t107 @t5) (tptp.range_of (tptp.restrict @t107 @t5 tptp.universal_class)))))))))))))) % 114.44/115.71 (assume @p74 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (and (forall @t11 (=> @t10 (=> @t131 @t132))) (forall @t11 (=> @t10 (=> @t132 @t131))))))))) % 114.44/115.71 (assume @p75 (exists @t7 (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t5) (forall @t2 (=> @t15 (tptp.member @t1 @t5 tptp.universal_class))) (forall @t2 (=> @t15 (tptp.inductive @t1 @t5))) (forall @t2 (=> @t15 (forall @t28 (=> @t130 (forall @t11 (=> @t10 (=> (forall @t26 (=> @t25 (tptp.inductive @t20 @t18))) (forall @t26 (=> @t25 (tptp.subclass @t20 @t5 @t18))))))))))))) % 114.44/115.71 (assume @p76 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (forall @t7 (=> @t83 (and (forall @t26 (=> @t25 (=> @t134 @t135))) (forall @t26 (=> @t25 (=> @t135 @t134))))))))))))) % 114.44/115.71 (assume @p77 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (=> (forall @t26 (=> @t25 (tptp.member @t20 @t5 tptp.universal_class))) (forall @t26 (=> @t25 (tptp.member @t20 @t133 tptp.universal_class))))))))))) % 114.44/115.71 (assume @p78 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (forall @t7 (=> @t83 (and (forall @t26 (=> @t25 (=> @t136 @t137))) (forall @t26 (=> @t25 (=> @t137 @t136))))))))))))) % 114.44/115.71 (assume @p79 (forall @t2 (=> @t15 (forall @t59 (=> @t84 (forall @t11 (=> @t10 (=> @t138 (forall @t26 (=> @t25 (tptp.member @t20 (tptp.power_class @t55) tptp.universal_class))))))))))) % 114.44/115.71 (assume @p80 (forall @t2 (=> @t15 (forall @t109 (=> @t143 (forall @t11 (=> @t10 (forall @t142 (=> @t141 (forall @t26 (=> @t25 (tptp.subclass @t20 @t140 @t98)))))))))))) % 114.44/115.71 (assume @p81 (forall @t2 (=> @t15 (forall @t109 (=> @t143 (forall @t11 (=> @t10 (forall @t142 (=> @t141 (forall @t26 (=> @t25 (forall @t59 (=> (|tptp.'$ki_exists_in_world_$i'| @t20 @t55) (forall @t22 (=> @t21 (forall @t94 (=> (|tptp.'$ki_exists_in_world_$i'| @t19 @t89) (and (forall @t32 (=> @t31 (=> @t144 @t145))) (forall @t32 (=> @t31 (=> @t145 @t144))))))))))))))))))))) % 114.44/115.71 (assume @p82 (forall @t2 (=> @t15 (forall @t150 (=> @t149 (and (forall @t11 (=> @t10 (=> @t147 @t148))) (forall @t11 (=> @t10 (=> @t148 @t147))))))))) % 114.44/115.71 (assume @p83 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t150 (=> (|tptp.'$ki_exists_in_world_$i'| @t8 @t146) (forall @t26 (=> @t25 (=> (and @t128 (forall @t22 (=> @t21 (tptp.function @t19 @t146)))) (forall @t22 (=> @t21 (tptp.member @t19 (tptp.image @t146 @t5) tptp.universal_class))))))))))))))) % 114.44/115.71 (assume @p84 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (and (forall @t26 (=> @t25 (=> @t151 @t152))) (forall @t26 (=> @t25 (=> @t152 @t151))))))))))))) % 114.44/115.71 (assume @p85 (forall @t2 (=> @t15 (forall @t7 (=> @t6 (forall @t11 (=> @t10 (=> (forall @t26 (=> @t25 (not (forall @t22 (=> @t21 (tptp.qmltpeq @t19 @t5 tptp.null_class)))))) (exists @t59 (and @t120 @t138 (forall @t26 (=> @t25 (tptp.member @t20 @t55 @t5))) (forall @t26 (=> @t25 (tptp.disjoint @t20 @t55 @t5))))))))))))) % 114.44/115.71 (assume @p86 (forall @t2 (=> @t15 (forall @t150 (=> @t149 (forall @t11 (=> @t10 (forall @t28 (=> @t27 (forall @t26 (=> @t25 (tptp.qmltpeq @t20 @t153 (tptp.sum_class (tptp.image @t146 @t86)))))))))))))) % 114.44/115.71 (assume @p87 (exists @t150 (and (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t146) (forall @t2 (=> @t15 (tptp.function @t1 @t146))) (forall @t2 (=> @t15 (forall @t28 (=> @t130 (forall @t11 (=> @t10 (=> (forall @t26 (=> @t25 (tptp.member @t20 @t18 tptp.universal_class))) (or (forall @t26 (=> @t25 (tptp.qmltpeq @t20 @t18 tptp.null_class))) (forall @t26 (=> @t25 (tptp.member @t20 @t153 @t18)))))))))))))) % 114.44/115.71 (assume @p88 @t160) % 114.44/115.71 (assume @p89 true) % 114.44/115.71 (step @p90 :rule aci_norm :args ((= @t169 @t167))) % 114.44/115.71 (step @p91 :rule cong :premises (@p90) :args (@t171)) % 114.44/115.71 (step @p92 :rule quant-merge-prenex :args ((= (forall @t2 @t173) @t171))) % 114.44/115.71 (step @p93 :rule alpha_equiv :args (@t174 (@list @t161 @t162) (@list @t5 @t175))) % 114.44/115.71 (step @p94 :rule refl :args (@t166)) % 114.44/115.71 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t176)) % 114.44/115.71 (step @p96 :rule quant-miniscope-or :args ((= @t173 @t176))) % 114.44/115.71 (step @p97 :rule trans :premises (@p96 @p95)) % 114.44/115.71 (step @p98 :rule symm :premises (@p97)) % 114.44/115.71 (step @p99 :rule cong :premises (@p98) :args ((forall @t2 (or @t166 @t182)))) % 114.44/115.71 (step @p100 :rule trans :premises (@p99 @p92)) % 114.44/115.71 (step @p101 :rule trans :premises (@p100 @p91)) % 114.44/115.71 (step @p102 :rule bool-impl-elim :args (@t15 @t182)) % 114.44/115.71 (step @p103 :rule cong :premises (@p102) :args ((forall @t2 (=> @t15 @t182)))) % 114.44/115.71 (step @p104 :rule trans :premises (@p103 @p101)) % 114.44/115.71 (step @p105 :rule aci_norm :args ((= @t184 @t180))) % 114.44/115.71 (step @p106 :rule cong :premises (@p105) :args (@t185)) % 114.44/115.71 (step @p107 :rule quant-merge-prenex :args ((= (forall @t7 @t187) @t185))) % 114.44/115.71 (step @p108 :rule alpha_equiv :args (@t188 (@list @t175) @t189)) % 114.44/115.71 (step @p109 :rule refl :args (@t179)) % 114.44/115.71 (step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t190)) % 114.44/115.71 (step @p111 :rule quant-miniscope-or :args ((= @t187 @t190))) % 114.44/115.71 (step @p112 :rule trans :premises (@p111 @p110)) % 114.44/115.71 (step @p113 :rule symm :premises (@p112)) % 114.44/115.71 (step @p114 :rule cong :premises (@p113) :args ((forall @t7 (or @t179 @t192)))) % 114.44/115.71 (step @p115 :rule trans :premises (@p114 @p107)) % 114.44/115.71 (step @p116 :rule trans :premises (@p115 @p106)) % 114.44/115.71 (step @p117 :rule bool-impl-elim :args (@t6 @t192)) % 114.44/115.71 (step @p118 :rule cong :premises (@p117) :args ((forall @t7 (=> @t6 @t192)))) % 114.44/115.71 (step @p119 :rule trans :premises (@p118 @p116)) % 114.44/115.71 (step @p120 :rule bool-impl-elim :args (@t10 @t9)) % 114.44/115.71 (step @p121 :rule cong :premises (@p120) :args (@t12)) % 114.44/115.71 (step @p122 :rule refl :args (@t6)) % 114.44/115.71 (step @p123 :rule cong :premises (@p122 @p121) :args (@t13)) % 114.44/115.71 (step @p124 :rule cong :premises (@p123) :args (@t14)) % 114.44/115.71 (step @p125 :rule trans :premises (@p124 @p119)) % 114.44/115.71 (step @p126 :rule refl :args (@t15)) % 114.44/115.71 (step @p127 :rule cong :premises (@p126 @p125) :args (@t16)) % 114.44/115.71 (step @p128 :rule cong :premises (@p127) :args (@t17)) % 114.44/115.71 (step @p129 :rule trans :premises (@p128 @p104)) % 114.44/115.71 (step @p130 :rule eq_resolve :premises (@p5 @p129)) % 114.44/115.71 (step @p131 :rule aci_norm :args ((= @t208 @t206))) % 114.44/115.71 (step @p132 :rule cong :premises (@p131) :args (@t210)) % 114.44/115.71 (step @p133 :rule quant-merge-prenex :args ((= (forall @t2 @t212) @t210))) % 114.44/115.71 (step @p134 :rule alpha_equiv :args (@t213 (@list @t194 @t198 @t193 @t200 @t201 @t199 @t196 @t195) (@list @t5 @t220 @t219 @t218 @t217 @t216 @t215 @t214))) % 114.44/115.71 (step @p135 :rule nary_cong :premises (@p94 @p134) :args (@t221)) % 114.44/115.71 (step @p136 :rule quant-miniscope-or :args ((= @t212 @t221))) % 114.44/115.71 (step @p137 :rule trans :premises (@p136 @p135)) % 114.44/115.71 (step @p138 :rule symm :premises (@p137)) % 114.44/115.71 (step @p139 :rule cong :premises (@p138) :args ((forall @t2 (or @t166 @t228)))) % 114.44/115.71 (step @p140 :rule trans :premises (@p139 @p133)) % 114.44/115.71 (step @p141 :rule trans :premises (@p140 @p132)) % 114.44/115.71 (step @p142 :rule bool-impl-elim :args (@t15 @t228)) % 114.44/115.71 (step @p143 :rule cong :premises (@p142) :args ((forall @t2 (=> @t15 @t228)))) % 114.44/115.71 (step @p144 :rule trans :premises (@p143 @p141)) % 114.44/115.71 (step @p145 :rule aci_norm :args ((= @t230 @t226))) % 114.44/115.71 (step @p146 :rule cong :premises (@p145) :args (@t231)) % 114.44/115.71 (step @p147 :rule quant-merge-prenex :args ((= (forall @t7 @t233) @t231))) % 114.44/115.71 (step @p148 :rule alpha_equiv :args (@t234 (@list @t220 @t219 @t218 @t217 @t216 @t215 @t214) (@list @t8 @t240 @t239 @t238 @t237 @t236 @t235))) % 114.44/115.71 (step @p149 :rule nary_cong :premises (@p109 @p148) :args (@t241)) % 114.44/115.71 (step @p150 :rule quant-miniscope-or :args ((= @t233 @t241))) % 114.44/115.71 (step @p151 :rule trans :premises (@p150 @p149)) % 114.44/115.71 (step @p152 :rule symm :premises (@p151)) % 114.44/115.71 (step @p153 :rule cong :premises (@p152) :args ((forall @t7 (or @t179 @t247)))) % 114.44/115.71 (step @p154 :rule trans :premises (@p153 @p147)) % 114.44/115.71 (step @p155 :rule trans :premises (@p154 @p146)) % 114.44/115.71 (step @p156 :rule bool-impl-elim :args (@t6 @t247)) % 114.44/115.71 (step @p157 :rule cong :premises (@p156) :args ((forall @t7 (=> @t6 @t247)))) % 114.44/115.71 (step @p158 :rule trans :premises (@p157 @p155)) % 114.44/115.71 (step @p159 :rule aci_norm :args ((= @t249 @t245))) % 114.44/115.71 (step @p160 :rule cong :premises (@p159) :args (@t250)) % 114.44/115.71 (step @p161 :rule quant-merge-prenex :args ((= (forall @t11 @t252) @t250))) % 114.44/115.71 (step @p162 :rule alpha_equiv :args (@t253 (@list @t240 @t239 @t238 @t237 @t236 @t235) (@list @t18 @t258 @t257 @t256 @t255 @t254))) % 114.44/115.71 (step @p163 :rule refl :args (@t191)) % 114.44/115.71 (step @p164 :rule nary_cong :premises (@p163 @p162) :args (@t259)) % 114.44/115.71 (step @p165 :rule quant-miniscope-or :args ((= @t252 @t259))) % 114.44/115.71 (step @p166 :rule trans :premises (@p165 @p164)) % 114.44/115.71 (step @p167 :rule symm :premises (@p166)) % 114.44/115.71 (step @p168 :rule cong :premises (@p167) :args ((forall @t11 (or @t191 @t266)))) % 114.44/115.71 (step @p169 :rule trans :premises (@p168 @p161)) % 114.44/115.71 (step @p170 :rule trans :premises (@p169 @p160)) % 114.44/115.71 (step @p171 :rule bool-impl-elim :args (@t10 @t266)) % 114.44/115.71 (step @p172 :rule cong :premises (@p171) :args ((forall @t11 (=> @t10 @t266)))) % 114.44/115.71 (step @p173 :rule trans :premises (@p172 @p170)) % 114.44/115.71 (step @p174 :rule quant-merge-prenex :args ((= (forall @t28 @t268) @t266))) % 114.44/115.71 (step @p175 :rule alpha_equiv :args (@t269 (@list @t255 @t254) (@list @t20 @t270))) % 114.44/115.71 (step @p176 :rule quant-unused-vars :args ((= @t271 @t269))) % 114.44/115.71 (step @p177 :rule trans :premises (@p176 @p175)) % 114.44/115.71 (step @p178 :rule alpha_equiv :args (@t272 (@list @t258 @t257 @t256) (@list @t20 @t274 @t273))) % 114.44/115.71 (step @p179 :rule quant-unused-vars :args ((= @t275 @t272))) % 114.44/115.71 (step @p180 :rule trans :premises (@p179 @p178)) % 114.44/115.71 (step @p181 :rule nary_cong :premises (@p180 @p177) :args (@t276)) % 114.44/115.71 (step @p182 :rule quant-miniscope-and :args ((= @t277 @t276))) % 114.44/115.71 (step @p183 :rule trans :premises (@p182 @p181)) % 114.44/115.71 (step @p184 :rule refl :args (@t264)) % 114.44/115.71 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t278)) % 114.44/115.71 (step @p186 :rule quant-miniscope-or :args ((= @t268 @t278))) % 114.44/115.71 (step @p187 :rule trans :premises (@p186 @p185)) % 114.44/115.71 (step @p188 :rule symm :premises (@p187)) % 114.44/115.71 (step @p189 :rule cong :premises (@p188) :args ((forall @t28 (or @t264 @t296)))) % 114.44/115.71 (step @p190 :rule trans :premises (@p189 @p174)) % 114.44/115.71 (step @p191 :rule bool-impl-elim :args (@t27 @t296)) % 114.44/115.71 (step @p192 :rule cong :premises (@p191) :args ((forall @t28 (=> @t27 @t296)))) % 114.44/115.71 (step @p193 :rule trans :premises (@p192 @p190)) % 114.44/115.71 (step @p194 :rule aci_norm :args ((= @t298 @t287))) % 114.44/115.71 (step @p195 :rule cong :premises (@p194) :args (@t299)) % 114.44/115.71 (step @p196 :rule quant-merge-prenex :args ((= (forall @t26 @t301) @t299))) % 114.44/115.71 (step @p197 :rule alpha_equiv :args (@t302 (@list @t270) @t303)) % 114.44/115.71 (step @p198 :rule refl :args (@t283)) % 114.44/115.71 (step @p199 :rule refl :args (@t285)) % 114.44/115.71 (step @p200 :rule refl :args (@t286)) % 114.44/115.71 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198 @p197) :args (@t304)) % 114.44/115.71 (step @p202 :rule quant-miniscope-or :args ((= @t301 @t304))) % 114.44/115.71 (step @p203 :rule trans :premises (@p202 @p201)) % 114.44/115.71 (step @p204 :rule symm :premises (@p203)) % 114.44/115.71 (step @p205 :rule cong :premises (@p204) :args ((forall @t26 @t305))) % 114.44/115.71 (step @p206 :rule trans :premises (@p205 @p196)) % 114.44/115.71 (step @p207 :rule trans :premises (@p206 @p195)) % 114.44/115.71 (step @p208 :rule aci_norm :args ((= (or @t286 @t306) @t305))) % 114.44/115.71 (step @p209 :rule aci_norm :args ((= (or (or @t285 @t283) @t292) @t306))) % 114.44/115.71 (step @p210 :rule refl :args (@t292)) % 114.44/115.71 (step @p211 :rule bool-and-de-morgan :args (@t284 @t282 true)) % 114.44/115.71 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t307) @t292))) % 114.44/115.71 (step @p213 :rule trans :premises (@p212 @p209)) % 114.44/115.71 (step @p214 :rule bool-impl-elim :args (@t307 @t292)) % 114.44/115.71 (step @p215 :rule trans :premises (@p214 @p213)) % 114.44/115.71 (step @p216 :rule nary_cong :premises (@p200 @p215) :args ((or @t286 @t308))) % 114.44/115.71 (step @p217 :rule trans :premises (@p216 @p208)) % 114.44/115.71 (step @p218 :rule bool-impl-elim :args (@t25 @t308)) % 114.44/115.71 (step @p219 :rule trans :premises (@p218 @p217)) % 114.44/115.71 (step @p220 :rule cong :premises (@p219) :args ((forall @t26 (=> @t25 @t308)))) % 114.44/115.71 (step @p221 :rule trans :premises (@p220 @p207)) % 114.44/115.71 (step @p222 :rule bool-impl-elim :args (@t21 @t23)) % 114.44/115.71 (step @p223 :rule cong :premises (@p222) :args (@t24)) % 114.44/115.71 (step @p224 :rule bool-impl-elim :args (@t21 @t61)) % 114.44/115.71 (step @p225 :rule cong :premises (@p224) :args (@t62)) % 114.44/115.71 (step @p226 :rule bool-impl-elim :args (@t21 @t53)) % 114.44/115.71 (step @p227 :rule cong :premises (@p226) :args (@t54)) % 114.44/115.71 (step @p228 :rule nary_cong :premises (@p227 @p225) :args (@t63)) % 114.44/115.71 (step @p229 :rule cong :premises (@p228 @p223) :args (@t64)) % 114.44/115.71 (step @p230 :rule refl :args (@t25)) % 114.44/115.71 (step @p231 :rule cong :premises (@p230 @p229) :args (@t65)) % 114.44/115.71 (step @p232 :rule cong :premises (@p231) :args (@t66)) % 114.44/115.71 (step @p233 :rule trans :premises (@p232 @p221)) % 114.44/115.71 (step @p234 :rule quant-merge-prenex :args ((= (forall @t26 @t310) @t295))) % 114.44/115.71 (step @p235 :rule alpha_equiv :args (@t311 (@list @t273) @t303)) % 114.44/115.71 (step @p236 :rule quant-unused-vars :args ((= @t312 @t311))) % 114.44/115.71 (step @p237 :rule trans :premises (@p236 @p235)) % 114.44/115.71 (step @p238 :rule alpha_equiv :args (@t313 (@list @t274) @t303)) % 114.44/115.71 (step @p239 :rule quant-unused-vars :args ((= @t314 @t313))) % 114.44/115.71 (step @p240 :rule trans :premises (@p239 @p238)) % 114.44/115.71 (step @p241 :rule nary_cong :premises (@p240 @p237) :args (@t315)) % 114.44/115.71 (step @p242 :rule quant-miniscope-and :args ((= @t316 @t315))) % 114.44/115.71 (step @p243 :rule trans :premises (@p242 @p241)) % 114.44/115.71 (step @p244 :rule refl :args (@t293)) % 114.44/115.71 (step @p245 :rule nary_cong :premises (@p200 @p244 @p243) :args (@t317)) % 114.44/115.71 (step @p246 :rule quant-miniscope-or :args ((= @t310 @t317))) % 114.44/115.71 (step @p247 :rule trans :premises (@p246 @p245)) % 114.44/115.71 (step @p248 :rule symm :premises (@p247)) % 114.44/115.71 (step @p249 :rule cong :premises (@p248) :args ((forall @t26 @t318))) % 114.44/115.71 (step @p250 :rule trans :premises (@p249 @p234)) % 114.44/115.71 (step @p251 :rule aci_norm :args ((= (or @t286 (or @t293 @t307)) @t318))) % 114.44/115.71 (step @p252 :rule bool-impl-elim :args (@t292 @t307)) % 114.44/115.71 (step @p253 :rule nary_cong :premises (@p200 @p252) :args ((or @t286 @t319))) % 114.44/115.71 (step @p254 :rule trans :premises (@p253 @p251)) % 114.44/115.71 (step @p255 :rule bool-impl-elim :args (@t25 @t319)) % 114.44/115.71 (step @p256 :rule trans :premises (@p255 @p254)) % 114.44/115.71 (step @p257 :rule cong :premises (@p256) :args ((forall @t26 (=> @t25 @t319)))) % 114.44/115.71 (step @p258 :rule trans :premises (@p257 @p250)) % 114.44/115.71 (step @p259 :rule cong :premises (@p223 @p228) :args (@t67)) % 114.44/115.71 (step @p260 :rule cong :premises (@p230 @p259) :args (@t68)) % 114.44/115.71 (step @p261 :rule cong :premises (@p260) :args (@t69)) % 114.44/115.71 (step @p262 :rule trans :premises (@p261 @p258)) % 114.44/115.71 (step @p263 :rule nary_cong :premises (@p262 @p233) :args (@t70)) % 114.44/115.71 (step @p264 :rule refl :args (@t27)) % 114.44/115.71 (step @p265 :rule cong :premises (@p264 @p263) :args (@t71)) % 114.44/115.71 (step @p266 :rule cong :premises (@p265) :args (@t72)) % 114.44/115.71 (step @p267 :rule trans :premises (@p266 @p193)) % 114.44/115.71 (step @p268 :rule refl :args (@t10)) % 114.44/115.71 (step @p269 :rule cong :premises (@p268 @p267) :args (@t73)) % 114.44/115.71 (step @p270 :rule cong :premises (@p269) :args (@t74)) % 114.44/115.71 (step @p271 :rule trans :premises (@p270 @p173)) % 114.44/115.71 (step @p272 :rule cong :premises (@p122 @p271) :args (@t75)) % 114.44/115.71 (step @p273 :rule cong :premises (@p272) :args (@t76)) % 114.44/115.71 (step @p274 :rule trans :premises (@p273 @p158)) % 114.44/115.71 (step @p275 :rule cong :premises (@p126 @p274) :args (@t77)) % 114.44/115.71 (step @p276 :rule cong :premises (@p275) :args (@t78)) % 114.44/115.71 (step @p277 :rule trans :premises (@p276 @p144)) % 114.44/115.71 (step @p278 :rule eq_resolve :premises (@p49 @p277)) % 114.44/115.71 (step @p279 :rule refl :args (@t333)) % 114.44/115.71 (step @p280 :rule aci_norm :args ((= (or @t341 @t339 @t343) @t342))) % 114.44/115.71 (step @p281 :rule aci_norm :args ((= @t344 @t343))) % 114.44/115.71 (step @p282 :rule refl :args (@t339)) % 114.44/115.71 (step @p283 :rule refl :args (@t341)) % 114.44/115.71 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (@t345)) % 114.44/115.71 (step @p285 :rule trans :premises (@p284 @p280)) % 114.44/115.71 (step @p286 :rule nary_cong :premises (@p285 @p279) :args (@t346)) % 114.44/115.71 (step @p287 :rule refl :args (@t348)) % 114.44/115.71 (step @p288 :rule refl :args (@t331)) % 114.44/115.71 (step @p289 :rule nary_cong :premises (@p288 @p287 @p283 @p287 @p286) :args (@t349)) % 114.44/115.71 (step @p290 :rule refl :args (@t350)) % 114.44/115.71 (step @p291 :rule cong :premises (@p290 @p289) :args ((=> @t350 @t349))) % 114.44/115.71 (assume-push @p389 @t350) % 114.44/115.71 (step @p293 :rule instantiate :premises (@p278) :args ((@list @t329 @t328 @t329 @t328 @t329 @t334 @t334 |tptp.'$ki_local_world'| @t329))) % 114.44/115.71 (step-pop @p390 :rule scope :premises (@p293)) % 114.44/115.71 (step @p294 :rule process_scope :premises (@p390) :args (@t349)) % 114.44/115.71 (step @p296 :rule eq_resolve :premises (@p294 @p291)) % 114.44/115.71 (step @p297 :rule implies_elim :premises (@p296)) % 114.44/115.71 (step @p298 :rule chain_m_resolution :premises (@p297 @p278) :args (@t352 @t353 (@list @t350))) % 114.44/115.71 (step @p299 :rule instantiate :premises (@p1) :args ((@list @t329))) % 114.44/115.71 (step @p300 :rule aci_norm :args ((= @t355 @t325))) % 114.44/115.71 (step @p301 :rule cong :premises (@p300) :args (@t356)) % 114.44/115.71 (step @p302 :rule quant-merge-prenex :args ((= (forall @t2 @t358) @t356))) % 114.44/115.71 (step @p303 :rule alpha_equiv :args (@t359 (@list @t320 @t321) (@list @t5 @t360))) % 114.44/115.71 (step @p304 :rule nary_cong :premises (@p94 @p303) :args (@t361)) % 114.44/115.71 (step @p305 :rule quant-miniscope-or :args ((= @t358 @t361))) % 114.44/115.71 (step @p306 :rule trans :premises (@p305 @p304)) % 114.44/115.71 (step @p307 :rule symm :premises (@p306)) % 114.44/115.71 (step @p308 :rule cong :premises (@p307) :args ((forall @t2 (or @t166 @t366)))) % 114.44/115.71 (step @p309 :rule trans :premises (@p308 @p302)) % 114.44/115.71 (step @p310 :rule trans :premises (@p309 @p301)) % 114.44/115.71 (step @p311 :rule bool-impl-elim :args (@t15 @t366)) % 114.44/115.71 (step @p312 :rule cong :premises (@p311) :args ((forall @t2 (=> @t15 @t366)))) % 114.44/115.71 (step @p313 :rule trans :premises (@p312 @p310)) % 114.44/115.71 (step @p314 :rule aci_norm :args ((= @t368 @t364))) % 114.44/115.71 (step @p315 :rule cong :premises (@p314) :args (@t369)) % 114.44/115.71 (step @p316 :rule quant-merge-prenex :args ((= (forall @t7 @t371) @t369))) % 114.44/115.71 (step @p317 :rule alpha_equiv :args (@t372 (@list @t360) @t189)) % 114.44/115.71 (step @p318 :rule nary_cong :premises (@p109 @p317) :args (@t373)) % 114.44/115.71 (step @p319 :rule quant-miniscope-or :args ((= @t371 @t373))) % 114.44/115.71 (step @p320 :rule trans :premises (@p319 @p318)) % 114.44/115.71 (step @p321 :rule symm :premises (@p320)) % 114.44/115.71 (step @p322 :rule cong :premises (@p321) :args ((forall @t7 (or @t179 @t374)))) % 114.44/115.71 (step @p323 :rule trans :premises (@p322 @p316)) % 114.44/115.71 (step @p324 :rule trans :premises (@p323 @p315)) % 114.44/115.71 (step @p325 :rule bool-impl-elim :args (@t6 @t374)) % 114.44/115.71 (step @p326 :rule cong :premises (@p325) :args ((forall @t7 (=> @t6 @t374)))) % 114.44/115.71 (step @p327 :rule trans :premises (@p326 @p324)) % 114.44/115.71 (step @p328 :rule bool-impl-elim :args (@t10 @t154)) % 114.44/115.71 (step @p329 :rule cong :premises (@p328) :args (@t155)) % 114.44/115.71 (step @p330 :rule cong :premises (@p122 @p329) :args (@t156)) % 114.44/115.71 (step @p331 :rule cong :premises (@p330) :args (@t157)) % 114.44/115.71 (step @p332 :rule trans :premises (@p331 @p327)) % 114.44/115.71 (step @p333 :rule cong :premises (@p126 @p332) :args (@t158)) % 114.44/115.71 (step @p334 :rule cong :premises (@p333) :args (@t159)) % 114.44/115.71 (step @p335 :rule trans :premises (@p334 @p313)) % 114.44/115.71 (step @p336 :rule cong :premises (@p335) :args (@t160)) % 114.44/115.71 (step @p337 :rule eq_resolve :premises (@p88 @p336)) % 114.44/115.71 (step @p338 :rule skolemize :premises (@p337)) % 114.44/115.71 (step @p339 :rule bool-double-not-elim :args (@t347)) % 114.44/115.71 (step @p340 :rule refl :args (@t375)) % 114.44/115.71 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t375 (not @t348)))) % 114.44/115.71 (step @p342 :rule cnf_or_neg :args (@t375 1)) % 114.44/115.71 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 114.44/115.71 (step @p344 :rule reordering :premises (@p343) :args ((or @t347 @t375))) % 114.44/115.71 (step @p345 :rule chain_m_resolution :premises (@p344 @p338) :args (@t347 @t376 @t377)) % 114.44/115.71 (step @p346 :rule bool-double-not-elim :args (@t330)) % 114.44/115.71 (step @p347 :rule nary_cong :premises (@p340 @p346) :args ((or @t375 (not @t331)))) % 114.44/115.71 (step @p348 :rule cnf_or_neg :args (@t375 0)) % 114.44/115.71 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 114.44/115.71 (step @p350 :rule reordering :premises (@p349) :args ((or @t330 @t375))) % 114.44/115.71 (step @p351 :rule chain_m_resolution :premises (@p350 @p338) :args (@t330 @t376 @t377)) % 114.44/115.71 (step @p352 :rule cnf_or_pos :args (@t352)) % 114.44/115.71 (step @p353 :rule factoring :premises (@p352)) % 114.44/115.71 (step @p354 :rule reordering :premises (@p353) :args ((or @t331 @t348 @t341 @t351 (not @t352)))) % 114.44/115.71 (step @p355 :rule chain_m_resolution :premises (@p354 @p351 @p345 @p299 @p298) :args (@t351 (@list false false false false) (@list @t330 @t347 @t340 @t352))) % 114.44/115.72 (step @p356 :rule cnf_and_pos :args (@t351 0)) % 114.44/115.72 (step @p357 :rule reordering :premises (@p356) :args ((or @t342 (not @t351)))) % 114.44/115.72 (step @p358 :rule chain_m_resolution :premises (@p357 @p355) :args (@t342 @t353 (@list @t351))) % 114.44/115.72 (step @p359 :rule cnf_or_neg :args (@t375 3)) % 114.44/115.72 (step @p360 :rule chain_m_resolution :premises (@p359 @p338) :args ((not @t335) @t376 @t377)) % 114.44/115.72 (step @p361 :rule bool-double-not-elim :args (@t336)) % 114.44/115.72 (step @p362 :rule nary_cong :premises (@p340 @p361) :args ((or @t375 (not @t337)))) % 114.44/115.72 (step @p363 :rule cnf_or_neg :args (@t375 2)) % 114.44/115.72 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 114.44/115.72 (step @p365 :rule reordering :premises (@p364) :args ((or @t336 @t375))) % 114.44/115.72 (step @p366 :rule chain_m_resolution :premises (@p365 @p338) :args (@t336 @t376 @t377)) % 114.44/115.72 (step @p367 :rule cnf_or_pos :args (@t342)) % 114.44/115.72 (step @p368 :rule reordering :premises (@p367) :args ((or @t337 @t335 @t341 @t339 (not @t342)))) % 114.44/115.72 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p360 @p299 @p358) :args (@t339 (@list false true false false) (@list @t336 @t335 @t340 @t342))) % 114.44/115.72 (step @p370 :rule skolemize :premises (@p369)) % 114.44/115.72 (step @p371 :rule cnf_or_neg :args (@t382 1)) % 114.44/115.72 (step @p372 :rule chain_m_resolution :premises (@p371 @p370) :args ((not @t379) @t376 @t383)) % 114.44/115.72 (step @p373 :rule bool-double-not-elim :args (@t380)) % 114.44/115.72 (step @p374 :rule refl :args (@t382)) % 114.44/115.72 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t382 (not @t381)))) % 114.44/115.72 (step @p376 :rule cnf_or_neg :args (@t382 0)) % 114.44/115.72 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 114.44/115.72 (step @p378 :rule reordering :premises (@p377) :args ((or @t380 @t382))) % 114.44/115.72 (step @p379 :rule chain_m_resolution :premises (@p378 @p370) :args (@t380 @t376 @t383)) % 114.44/115.72 (step @p380 :rule cnf_or_pos :args (@t384)) % 114.44/115.72 (step @p381 :rule reordering :premises (@p380) :args ((or @t331 @t348 @t381 @t379 @t385))) % 114.44/115.72 (step @p382 :rule chain_m_resolution :premises (@p381 @p351 @p345 @p379 @p372) :args (@t385 (@list false false false true) (@list @t330 @t347 @t380 @t379))) % 114.44/115.72 (assume-push @p391 @t386) % 114.44/115.72 (step @p384 :rule instantiate :premises (@p130) :args ((@list @t329 @t328 @t378))) % 114.44/115.72 (step-pop @p392 :rule scope :premises (@p384)) % 114.44/115.72 (step @p385 :rule process_scope :premises (@p392) :args (@t384)) % 114.44/115.72 (step @p387 :rule implies_elim :premises (@p385)) % 114.44/115.72 (step @p388 false :rule chain_m_resolution :premises (@p387 @p382 @p130) :args (false (@list true false) (@list @t384 @t386))) % 114.44/115.72 ) % 114.44/115.72 % SZS output end Proof % 114.44/115.72 % cvc5 exiting %------------------------------------------------------------------------------