%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU257+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:09 AM UTC 2026 % Result : Theorem 0.42s 0.85s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU257+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:49:13 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.56 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.85 % SZS status Theorem % 0.42/0.85 % SZS output start Proof % 0.42/0.85 ( % 0.42/0.85 (declare-sort $$unsorted 0) % 0.42/0.85 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.empty_set $$unsorted) % 0.42/0.85 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.function (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.42/0.85 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.85 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.85 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.85 (define @t3 () (tptp.in @t2 @t1)) % 0.42/0.85 (define @t4 () (not @t3)) % 0.42/0.85 (define @t5 () (tptp.in @t1 @t2)) % 0.42/0.85 (define @t6 () (@list @t1 @t2)) % 0.42/0.85 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.42/0.85 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.42/0.85 (define @t9 () (tptp.function @t1)) % 0.42/0.85 (define @t10 () (tptp.empty @t1)) % 0.42/0.85 (define @t11 () (@list @t1)) % 0.42/0.85 (define @t12 () (tptp.epsilon_connected @t1)) % 0.42/0.85 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.42/0.85 (define @t14 () (and @t13 @t12)) % 0.42/0.85 (define @t15 () (tptp.ordinal @t1)) % 0.42/0.85 (define @t16 () (tptp.relation @t1)) % 0.42/0.85 (define @t17 () (tptp.one_to_one @t1)) % 0.42/0.85 (define @t18 () (and @t16 @t9 @t17)) % 0.42/0.85 (define @t19 () (and @t16 @t10 @t9)) % 0.42/0.85 (define @t20 () (and @t13 @t12 @t15)) % 0.42/0.85 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 0.42/0.85 (define @t22 () (tptp.set_union2 @t2 @t1)) % 0.42/0.85 (define @t23 () (tptp.set_union2 @t1 @t2)) % 0.42/0.85 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 0.42/0.85 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 0.42/0.85 (define @t26 () (tptp.ordinal @t2)) % 0.42/0.85 (define @t27 () (and @t15 @t26)) % 0.42/0.85 (define @t28 () (@var "D" $$unsorted)) % 0.42/0.85 (define @t29 () (@var "C" $$unsorted)) % 0.42/0.85 (define @t30 () (= @t29 @t28)) % 0.42/0.85 (define @t31 () (tptp.in @t29 @t1)) % 0.42/0.85 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 0.42/0.85 (define @t33 () (tptp.in @t32 @t2)) % 0.42/0.85 (define @t34 () (@list @t29 @t28)) % 0.42/0.85 (define @t35 () (tptp.identity_relation @t1)) % 0.42/0.85 (define @t36 () (= @t2 @t35)) % 0.42/0.85 (define @t37 () (tptp.relation @t2)) % 0.42/0.85 (define @t38 () (tptp.subset @t2 @t1)) % 0.42/0.85 (define @t39 () (tptp.subset @t1 @t2)) % 0.42/0.85 (define @t40 () (= @t1 @t2)) % 0.42/0.85 (define @t41 () (@var "E" $$unsorted)) % 0.42/0.85 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 0.42/0.85 (define @t43 () (tptp.in @t42 @t1)) % 0.42/0.85 (define @t44 () (tptp.in @t28 @t2)) % 0.42/0.85 (define @t45 () (tptp.in @t42 @t29)) % 0.42/0.85 (define @t46 () (@list @t28 @t41)) % 0.42/0.85 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 0.42/0.85 (define @t48 () (tptp.relation @t29)) % 0.42/0.85 (define @t49 () (@list @t2 @t29)) % 0.42/0.85 (define @t50 () (tptp.in @t41 @t2)) % 0.42/0.85 (define @t51 () (tptp.relation_dom @t1)) % 0.42/0.85 (define @t52 () (@list @t41)) % 0.42/0.85 (define @t53 () (tptp.in @t28 @t29)) % 0.42/0.85 (define @t54 () (@list @t28)) % 0.42/0.85 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 0.42/0.85 (define @t56 () (and @t16 @t9)) % 0.42/0.85 (define @t57 () (tptp.in @t41 @t1)) % 0.42/0.85 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 0.42/0.85 (define @t59 () (@list @t29)) % 0.42/0.85 (define @t60 () (tptp.relation_field @t1)) % 0.42/0.85 (define @t61 () (tptp.antisymmetric @t1)) % 0.42/0.85 (define @t62 () (tptp.apply @t1 @t28)) % 0.42/0.85 (define @t63 () (tptp.in @t28 @t51)) % 0.42/0.85 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 0.42/0.85 (define @t65 () (tptp.connected @t1)) % 0.42/0.85 (define @t66 () (tptp.transitive @t1)) % 0.42/0.85 (define @t67 () (tptp.in @t41 @t28)) % 0.42/0.85 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 0.42/0.85 (define @t69 () (tptp.singleton @t1)) % 0.42/0.85 (define @t70 () (tptp.succ @t1)) % 0.42/0.85 (define @t71 () (@list @t2)) % 0.42/0.85 (define @t72 () (tptp.in @t29 @t2)) % 0.42/0.85 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 0.42/0.85 (define @t74 () (= @t2 tptp.empty_set)) % 0.42/0.85 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 0.42/0.85 (define @t76 () (= @t1 tptp.empty_set)) % 0.42/0.85 (define @t77 () (tptp.in @t29 @t28)) % 0.42/0.85 (define @t78 () (tptp.in @t28 @t1)) % 0.42/0.85 (define @t79 () (not @t76)) % 0.42/0.85 (define @t80 () (= @t28 @t2)) % 0.42/0.85 (define @t81 () (tptp.powerset @t1)) % 0.42/0.85 (define @t82 () (tptp.in @t32 @t1)) % 0.42/0.85 (define @t83 () (tptp.empty @t2)) % 0.42/0.85 (define @t84 () (tptp.element @t2 @t1)) % 0.42/0.85 (define @t85 () (not @t10)) % 0.42/0.85 (define @t86 () (@list @t1 @t2 @t29)) % 0.42/0.85 (define @t87 () (not @t74)) % 0.42/0.85 (define @t88 () (tptp.well_founded_relation @t1)) % 0.42/0.85 (define @t89 () (@var "F" $$unsorted)) % 0.42/0.85 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 0.42/0.85 (define @t91 () (not @t72)) % 0.42/0.85 (define @t92 () (= @t2 @t29)) % 0.42/0.85 (define @t93 () (not @t92)) % 0.42/0.85 (define @t94 () (tptp.in @t2 @t29)) % 0.42/0.85 (define @t95 () (forall @t59 (=> @t31 @t72))) % 0.42/0.85 (define @t96 () (= @t29 tptp.empty_set)) % 0.42/0.85 (define @t97 () (tptp.subset @t29 @t2)) % 0.42/0.85 (define @t98 () (tptp.is_well_founded_in @t1 @t2)) % 0.42/0.85 (define @t99 () (tptp.apply @t1 @t2)) % 0.42/0.85 (define @t100 () (= @t29 @t99)) % 0.42/0.85 (define @t101 () (tptp.in @t2 @t51)) % 0.42/0.85 (define @t102 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 0.42/0.85 (define @t103 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 0.42/0.85 (define @t104 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.42/0.85 (define @t105 () (tptp.cast_to_subset @t1)) % 0.42/0.85 (define @t106 () (tptp.union @t1)) % 0.42/0.85 (define @t107 () (tptp.reflexive @t1)) % 0.42/0.85 (define @t108 () (tptp.well_ordering @t1)) % 0.42/0.85 (define @t109 () (= @t108 (and @t107 @t66 @t61 @t65 @t88))) % 0.42/0.85 (define @t110 () (forall @t11 (=> @t16 @t109))) % 0.42/0.85 (define @t111 () (tptp.set_difference @t1 @t2)) % 0.42/0.85 (define @t112 () (and @t63 (= @t29 @t62))) % 0.42/0.85 (define @t113 () (tptp.relation_rng @t1)) % 0.42/0.85 (define @t114 () (= @t2 @t113)) % 0.42/0.85 (define @t115 () (tptp.subset_complement @t1 @t2)) % 0.42/0.85 (define @t116 () (tptp.element @t2 @t81)) % 0.42/0.85 (define @t117 () (tptp.ordered_pair @t1 @t2)) % 0.42/0.85 (define @t118 () (tptp.is_connected_in @t1 @t2)) % 0.42/0.85 (define @t119 () (tptp.is_transitive_in @t1 @t2)) % 0.42/0.85 (define @t120 () (tptp.being_limit_ordinal @t1)) % 0.42/0.85 (define @t121 () (tptp.cartesian_product2 @t2 @t2)) % 0.42/0.85 (define @t122 () (tptp.relation_restriction @t1 @t2)) % 0.42/0.85 (define @t123 () (tptp.relation_inverse @t1)) % 0.42/0.85 (define @t124 () (tptp.disjoint @t1 @t2)) % 0.42/0.85 (define @t125 () (tptp.relation_composition @t1 @t2)) % 0.42/0.85 (define @t126 () (tptp.complements_of_subsets @t1 @t2)) % 0.42/0.85 (define @t127 () (tptp.powerset @t81)) % 0.42/0.85 (define @t128 () (tptp.element @t2 @t127)) % 0.42/0.85 (define @t129 () (not @t40)) % 0.42/0.85 (define @t130 () (tptp.function_inverse @t1)) % 0.42/0.85 (define @t131 () (tptp.relation @t122)) % 0.42/0.85 (define @t132 () (forall @t6 (=> @t16 @t131))) % 0.42/0.85 (define @t133 () (tptp.relation @t123)) % 0.42/0.85 (define @t134 () (tptp.relation @t125)) % 0.42/0.85 (define @t135 () (and @t16 @t37)) % 0.42/0.85 (define @t136 () (tptp.union_of_subsets @t1 @t2)) % 0.42/0.85 (define @t137 () (tptp.relation @t35)) % 0.42/0.85 (define @t138 () (tptp.meet_of_subsets @t1 @t2)) % 0.42/0.85 (define @t139 () (tptp.subset_difference @t1 @t2 @t29)) % 0.42/0.85 (define @t140 () (tptp.element @t29 @t81)) % 0.42/0.85 (define @t141 () (and @t116 @t140)) % 0.42/0.85 (define @t142 () (tptp.relation @t47)) % 0.42/0.85 (define @t143 () (tptp.relation @t58)) % 0.42/0.85 (define @t144 () (tptp.relation_composition @t2 @t1)) % 0.42/0.85 (define @t145 () (and @t10 @t37)) % 0.42/0.85 (define @t146 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.42/0.85 (define @t147 () (tptp.relation tptp.empty_set)) % 0.42/0.85 (define @t148 () (tptp.empty tptp.empty_set)) % 0.42/0.85 (define @t149 () (tptp.relation_empty_yielding @t1)) % 0.42/0.85 (define @t150 () (and @t16 @t149)) % 0.42/0.85 (define @t151 () (tptp.function @t2)) % 0.42/0.85 (define @t152 () (not (tptp.empty @t70))) % 0.42/0.85 (define @t153 () (not @t83)) % 0.42/0.85 (define @t154 () (and @t37 @t151)) % 0.42/0.85 (define @t155 () (tptp.empty @t51)) % 0.42/0.85 (define @t156 () (and @t85 @t16)) % 0.42/0.85 (define @t157 () (tptp.empty @t113)) % 0.42/0.85 (define @t158 () (tptp.in @t2 @t60)) % 0.42/0.85 (define @t159 () (tptp.disjoint @t69 @t2)) % 0.42/0.85 (define @t160 () (not @t5)) % 0.42/0.85 (define @t161 () (tptp.relation_dom @t2)) % 0.42/0.85 (define @t162 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 0.42/0.85 (define @t163 () (not @t102)) % 0.42/0.85 (define @t164 () (tptp.singleton @t2)) % 0.42/0.85 (define @t165 () (tptp.union @t2)) % 0.42/0.85 (define @t166 () (tptp.in @t1 @t29)) % 0.42/0.85 (define @t167 () (tptp.element @t1 (tptp.powerset @t2))) % 0.42/0.85 (define @t168 () (tptp.relation_dom @t29)) % 0.42/0.85 (define @t169 () (tptp.relation_dom_restriction @t29 @t1)) % 0.42/0.85 (define @t170 () (tptp.in @t2 (tptp.relation_dom @t169))) % 0.42/0.85 (define @t171 () (and @t48 (tptp.function @t29))) % 0.42/0.85 (define @t172 () (tptp.set_difference @t2 @t29)) % 0.42/0.85 (define @t173 () (= @t1 @t29)) % 0.42/0.85 (define @t174 () (tptp.relation_rng @t29)) % 0.42/0.85 (define @t175 () (tptp.relation_rng @t58)) % 0.42/0.85 (define @t176 () (tptp.relation_rng @t2)) % 0.42/0.85 (define @t177 () (tptp.cartesian_product2 @t1 @t29)) % 0.42/0.85 (define @t178 () (forall @t59 (not (and @t97 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 0.42/0.85 (define @t179 () (tptp.powerset @t29)) % 0.42/0.85 (define @t180 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 0.42/0.85 (define @t181 () (tptp.relation_dom_restriction @t29 @t2)) % 0.42/0.85 (define @t182 () (tptp.relation_image @t2 @t1)) % 0.42/0.85 (define @t183 () (tptp.relation_inverse_image @t2 @t1)) % 0.42/0.85 (define @t184 () (tptp.relation_image @t2 @t183)) % 0.42/0.85 (define @t185 () (tptp.set_intersection2 @t161 @t1)) % 0.42/0.85 (define @t186 () (tptp.subset @t1 @t176)) % 0.42/0.85 (define @t187 () (tptp.relation_rng @t125)) % 0.42/0.85 (define @t188 () (tptp.relation_inverse_image @t29 @t2)) % 0.42/0.85 (define @t189 () (tptp.relation_restriction @t29 @t2)) % 0.42/0.85 (define @t190 () (tptp.relation_restriction @t2 @t1)) % 0.42/0.85 (define @t191 () (tptp.relation_dom_restriction @t2 @t1)) % 0.42/0.85 (define @t192 () (tptp.relation_field @t29)) % 0.42/0.85 (define @t193 () (tptp.in @t1 @t192)) % 0.42/0.85 (define @t194 () (tptp.set_intersection2 @t2 @t29)) % 0.42/0.85 (define @t195 () (tptp.subset @t1 @t29)) % 0.42/0.85 (define @t196 () (tptp.element @t1 @t2)) % 0.42/0.85 (define @t197 () (tptp.in @t1 @t168)) % 0.42/0.85 (define @t198 () (tptp.in @t117 @t29)) % 0.42/0.85 (define @t199 () (tptp.relation_field @t190)) % 0.42/0.85 (define @t200 () (tptp.apply @t29 @t1)) % 0.42/0.85 (define @t201 () (tptp.relation_composition @t29 @t2)) % 0.42/0.85 (define @t202 () (tptp.in @t1 (tptp.relation_dom @t201))) % 0.42/0.85 (define @t203 () (tptp.reflexive @t190)) % 0.42/0.85 (define @t204 () (tptp.reflexive @t2)) % 0.42/0.85 (define @t205 () (=> @t204 @t203)) % 0.42/0.85 (define @t206 () (forall @t6 (=> @t37 @t205))) % 0.42/0.85 (define @t207 () (tptp.connected @t190)) % 0.42/0.85 (define @t208 () (tptp.connected @t2)) % 0.42/0.85 (define @t209 () (=> @t208 @t207)) % 0.42/0.85 (define @t210 () (forall @t6 (=> @t37 @t209))) % 0.42/0.85 (define @t211 () (tptp.transitive @t190)) % 0.42/0.85 (define @t212 () (tptp.transitive @t2)) % 0.42/0.85 (define @t213 () (=> @t212 @t211)) % 0.42/0.85 (define @t214 () (forall @t6 (=> @t37 @t213))) % 0.42/0.85 (define @t215 () (tptp.antisymmetric @t190)) % 0.42/0.85 (define @t216 () (tptp.antisymmetric @t2)) % 0.42/0.85 (define @t217 () (=> @t216 @t215)) % 0.42/0.85 (define @t218 () (forall @t6 (=> @t37 @t217))) % 0.42/0.85 (define @t219 () (tptp.well_founded_relation @t190)) % 0.42/0.85 (define @t220 () (tptp.well_founded_relation @t2)) % 0.42/0.85 (define @t221 () (=> @t220 @t219)) % 0.42/0.85 (define @t222 () (forall @t6 (=> @t37 @t221))) % 0.42/0.85 (define @t223 () (tptp.well_ordering @t190)) % 0.42/0.85 (define @t224 () (tptp.well_ordering @t2)) % 0.42/0.85 (define @t225 () (=> @t224 @t223)) % 0.42/0.85 (define @t226 () (forall @t6 (=> @t37 @t225))) % 0.42/0.85 (define @t227 () (not @t226)) % 0.42/0.85 (define @t228 () (tptp.apply @t2 @t29)) % 0.42/0.85 (define @t229 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.42/0.85 (define @t230 () (and @t31 @t72)) % 0.42/0.85 (define @t231 () (not @t124)) % 0.42/0.85 (define @t232 () (tptp.succ @t2)) % 0.42/0.85 (define @t233 () (= @t1 @t232)) % 0.42/0.85 (define @t234 () (tptp.subset_complement @t1 @t29)) % 0.42/0.85 (define @t235 () (tptp.disjoint @t2 @t29)) % 0.42/0.85 (define @t236 () (tptp.relation_dom @t125)) % 0.42/0.85 (define @t237 () (tptp.element @t2 @t179)) % 0.42/0.85 (define @t238 () (tptp.in @t29 @t24)) % 0.42/0.85 (define @t239 () (and (tptp.in @t29 @t113) (= @t28 @t228))) % 0.42/0.85 (define @t240 () (tptp.function_inverse @t2)) % 0.42/0.85 (define @t241 () (= @t113 tptp.empty_set)) % 0.42/0.85 (define @t242 () (= @t51 tptp.empty_set)) % 0.42/0.85 (define @t243 () (= (tptp.apply @t169 @t2) (tptp.apply @t29 @t2))) % 0.42/0.85 (define @t244 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 0.42/0.85 (define @t245 () (not @t224)) % 0.42/0.85 (define @t246 () (not @t37)) % 0.42/0.85 (define @t247 () (or @t246 @t245 @t223)) % 0.42/0.85 (define @t248 () (forall @t6 @t247)) % 0.42/0.85 (define @t249 () (@quantifiers_skolemize @t248 0)) % 0.42/0.85 (define @t250 () (@quantifiers_skolemize @t248 1)) % 0.42/0.85 (define @t251 () (tptp.relation_restriction @t250 @t249)) % 0.42/0.85 (define @t252 () (tptp.relation @t250)) % 0.42/0.85 (define @t253 () (tptp.well_ordering @t251)) % 0.42/0.85 (define @t254 () (tptp.well_ordering @t250)) % 0.42/0.85 (define @t255 () (not @t254)) % 0.42/0.85 (define @t256 () (not @t252)) % 0.42/0.85 (define @t257 () (or @t256 @t255 @t253)) % 0.42/0.85 (define @t258 () (@list true)) % 0.42/0.85 (define @t259 () (@list @t257)) % 0.42/0.85 (define @t260 () (tptp.relation @t251)) % 0.42/0.85 (define @t261 () (or @t256 @t260)) % 0.42/0.85 (define @t262 () (@list false false)) % 0.42/0.85 (define @t263 () (tptp.well_founded_relation @t251)) % 0.42/0.85 (define @t264 () (tptp.connected @t251)) % 0.42/0.85 (define @t265 () (tptp.antisymmetric @t251)) % 0.42/0.85 (define @t266 () (tptp.transitive @t251)) % 0.42/0.85 (define @t267 () (tptp.reflexive @t251)) % 0.42/0.85 (define @t268 () (and @t267 @t266 @t265 @t264 @t263)) % 0.42/0.85 (define @t269 () (= @t253 @t268)) % 0.42/0.85 (define @t270 () (not @t260)) % 0.42/0.85 (define @t271 () (or @t270 @t269)) % 0.42/0.85 (define @t272 () (not @t268)) % 0.42/0.85 (define @t273 () (not @t220)) % 0.42/0.85 (define @t274 () (@list @t249 @t250)) % 0.42/0.85 (define @t275 () (tptp.well_founded_relation @t250)) % 0.42/0.85 (define @t276 () (tptp.connected @t250)) % 0.42/0.85 (define @t277 () (tptp.antisymmetric @t250)) % 0.42/0.85 (define @t278 () (tptp.transitive @t250)) % 0.42/0.85 (define @t279 () (tptp.reflexive @t250)) % 0.42/0.85 (define @t280 () (and @t279 @t278 @t277 @t276 @t275)) % 0.42/0.85 (define @t281 () (= @t254 @t280)) % 0.42/0.85 (define @t282 () (or @t256 @t281)) % 0.42/0.85 (define @t283 () (not @t280)) % 0.42/0.85 (define @t284 () (@list false)) % 0.42/0.85 (define @t285 () (@list @t280)) % 0.42/0.85 (define @t286 () (not @t275)) % 0.42/0.85 (define @t287 () (or @t256 @t286 @t263)) % 0.42/0.85 (define @t288 () (@list false false false)) % 0.42/0.85 (define @t289 () (not @t208)) % 0.42/0.85 (define @t290 () (not @t276)) % 0.42/0.85 (define @t291 () (or @t256 @t290 @t264)) % 0.42/0.85 (define @t292 () (not @t216)) % 0.42/0.85 (define @t293 () (not @t277)) % 0.42/0.85 (define @t294 () (or @t256 @t293 @t265)) % 0.42/0.85 (define @t295 () (not @t204)) % 0.42/0.85 (define @t296 () (not @t279)) % 0.42/0.85 (define @t297 () (or @t256 @t296 @t267)) % 0.42/0.85 (define @t298 () (not @t212)) % 0.42/0.85 (define @t299 () (not @t278)) % 0.42/0.85 (define @t300 () (or @t256 @t299 @t266)) % 0.42/0.85 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.42/0.85 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.42/0.85 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.42/0.85 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.42/0.85 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.42/0.85 (assume @p6 (forall @t11 (=> @t19 @t18))) % 0.42/0.85 (assume @p7 (forall @t11 (=> @t14 @t15))) % 0.42/0.85 (assume @p8 (forall @t11 (=> @t10 @t20))) % 0.42/0.85 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 0.42/0.85 (assume @p10 (forall @t6 (= @t23 @t22))) % 0.42/0.85 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 0.42/0.85 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 0.42/0.85 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 0.42/0.85 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 0.42/0.85 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 0.42/0.85 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 0.42/0.85 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 0.42/0.85 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 0.42/0.85 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 0.42/0.85 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 0.42/0.85 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 0.42/0.85 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 0.42/0.85 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 0.42/0.85 (assume @p24 (forall @t68 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t67 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 0.42/0.85 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 0.42/0.85 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 0.42/0.85 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 0.42/0.85 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 0.42/0.85 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 0.42/0.85 (assume @p30 (forall @t11 (=> @t16 (forall @t49 (= (= @t29 (tptp.fiber @t1 @t2)) (forall @t54 (= @t53 (and (not @t80) (tptp.in (tptp.ordered_pair @t28 @t2) @t1))))))))) % 0.42/0.85 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 0.42/0.85 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 0.42/0.85 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 0.42/0.85 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 0.42/0.85 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 0.42/0.85 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 0.42/0.85 (assume @p37 (forall @t11 (=> @t16 (= @t88 (forall @t71 (not (and (tptp.subset @t2 @t60) @t87 (forall @t59 (not (and @t72 (tptp.disjoint (tptp.fiber @t1 @t29) @t2))))))))))) % 0.42/0.85 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 0.42/0.85 (assume @p39 (forall @t86 (= (= @t29 @t90) (forall @t54 (= @t53 (exists (@list @t41 @t89) (and @t57 (tptp.in @t89 @t2) (= @t28 (tptp.ordered_pair @t41 @t89))))))))) % 0.42/0.85 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 0.42/0.85 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 0.42/0.85 (assume @p42 (forall @t6 (= @t39 @t95))) % 0.42/0.85 (assume @p43 (forall @t11 (=> @t16 (forall @t71 (= @t98 (forall @t59 (not (and @t97 (not @t96) (forall @t54 (not (and @t53 (tptp.disjoint (tptp.fiber @t1 @t28) @t29)))))))))))) % 0.42/0.85 (assume @p44 (forall @t86 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t78 @t44)))))) % 0.42/0.85 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t101 (= @t100 @t102)) (=> (not @t101) (= @t100 @t96))))))) % 0.42/0.85 (assume @p46 (forall @t11 (= @t15 @t14))) % 0.42/0.85 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 0.42/0.85 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t104 (forall @t34 (=> (and @t72 @t44 @t82 @t103) @t30))))))) % 0.42/0.85 (assume @p49 (forall @t11 (= @t105 @t1))) % 0.42/0.85 (assume @p50 (forall @t6 (= (= @t2 @t106) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 0.42/0.85 (assume @p51 @t110) % 0.42/0.85 (assume @p52 (forall @t86 (= (= @t29 @t111) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 0.42/0.85 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t114 (forall @t59 (= @t72 (exists @t54 @t112)))))))) % 0.42/0.85 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t114 (forall @t59 (= @t72 (exists @t54 @t103)))))))) % 0.42/0.85 (assume @p55 (forall @t6 (=> @t116 (= @t115 @t111)))) % 0.42/0.85 (assume @p56 (forall @t6 (= @t117 (tptp.unordered_pair @t21 @t69)))) % 0.42/0.85 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t119 @t104 @t118 @t98)))))) % 0.42/0.85 (assume @p58 (forall @t11 (= @t120 (= @t1 @t106)))) % 0.42/0.85 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t113))))) % 0.42/0.85 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t118 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t82) (not @t103))))))))) % 0.42/0.85 (assume @p61 (forall @t11 (=> @t16 (forall @t71 (= @t122 (tptp.set_intersection2 @t1 @t121)))))) % 0.42/0.85 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t123) (forall @t34 (= @t33 @t103)))))))) % 0.42/0.85 (assume @p63 (forall @t6 (= @t124 (= @t24 tptp.empty_set)))) % 0.42/0.85 (assume @p64 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t101 (tptp.in @t29 @t51) (= @t99 (tptp.apply @t1 @t29))) @t92)))))) % 0.42/0.85 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t125) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 0.42/0.85 (assume @p66 (forall @t11 (=> @t16 (forall @t71 (= @t119 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 0.42/0.85 (assume @p67 (forall @t6 (=> @t128 (forall @t59 (=> (tptp.element @t29 @t127) (= (= @t29 @t126) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 0.42/0.85 (assume @p68 (forall @t6 (= @t8 (and @t39 @t129)))) % 0.42/0.85 (assume @p69 (forall @t11 (=> @t56 (=> @t17 (= @t130 @t123))))) % 0.42/0.85 (assume @p70 (forall @t11 (=> @t16 (= @t107 (tptp.is_reflexive_in @t1 @t60))))) % 0.42/0.85 (assume @p71 true) % 0.42/0.85 (assume @p72 (forall @t11 (=> @t56 (and (tptp.relation @t130) (tptp.function @t130))))) % 0.42/0.85 (assume @p73 (forall @t11 (tptp.element @t105 @t81))) % 0.42/0.85 (assume @p74 @t132) % 0.42/0.85 (assume @p75 (forall @t6 (=> @t116 (tptp.element @t115 @t81)))) % 0.42/0.85 (assume @p76 (forall @t11 (=> @t16 @t133))) % 0.42/0.85 (assume @p77 (forall @t6 (=> @t135 @t134))) % 0.42/0.85 (assume @p78 (forall @t6 (=> @t128 (tptp.element @t136 @t81)))) % 0.42/0.85 (assume @p79 (forall @t11 @t137)) % 0.42/0.85 (assume @p80 (forall @t6 (=> @t128 (tptp.element @t138 @t81)))) % 0.42/0.85 (assume @p81 (forall @t86 (=> @t141 (tptp.element @t139 @t81)))) % 0.42/0.85 (assume @p82 (forall @t6 (=> @t16 @t142))) % 0.42/0.85 (assume @p83 (forall @t6 (=> @t128 (tptp.element @t126 @t127)))) % 0.42/0.85 (assume @p84 (forall @t6 (=> @t37 @t143))) % 0.42/0.85 (assume @p85 (forall @t11 (exists @t71 @t84))) % 0.42/0.85 (assume @p86 (forall @t6 (=> @t145 (and (tptp.empty @t144) (tptp.relation @t144))))) % 0.42/0.85 (assume @p87 (forall @t11 (=> @t10 (and (tptp.empty @t123) @t133)))) % 0.42/0.85 (assume @p88 (and @t148 @t147 @t146)) % 0.42/0.85 (assume @p89 (forall @t6 (=> @t150 (and @t142 (tptp.relation_empty_yielding @t47))))) % 0.42/0.85 (assume @p90 (forall @t6 (=> (and @t16 @t9 @t37 @t151) (and @t134 (tptp.function @t125))))) % 0.42/0.85 (assume @p91 (forall @t11 @t152)) % 0.42/0.85 (assume @p92 (forall @t6 (=> @t135 (tptp.relation @t24)))) % 0.42/0.85 (assume @p93 (forall @t11 (not (tptp.empty @t81)))) % 0.42/0.85 (assume @p94 @t148) % 0.42/0.85 (assume @p95 (forall @t6 (not (tptp.empty @t117)))) % 0.42/0.85 (assume @p96 (forall @t11 (and @t137 (tptp.function @t35)))) % 0.42/0.85 (assume @p97 (and @t147 @t146 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t148 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.42/0.85 (assume @p98 (forall @t6 (=> @t135 (tptp.relation @t23)))) % 0.42/0.85 (assume @p99 (forall @t11 (not (tptp.empty @t69)))) % 0.42/0.85 (assume @p100 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 0.42/0.85 (assume @p101 (forall @t11 (=> @t18 (and @t133 (tptp.function @t123))))) % 0.42/0.85 (assume @p102 (forall @t11 (=> @t15 (and @t152 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 0.42/0.85 (assume @p103 (forall @t6 (=> @t135 (tptp.relation @t111)))) % 0.42/0.85 (assume @p104 (forall @t6 (not (tptp.empty @t21)))) % 0.42/0.85 (assume @p105 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 0.42/0.85 (assume @p106 (forall @t6 (=> @t56 (and @t142 (tptp.function @t47))))) % 0.42/0.85 (assume @p107 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t106) (tptp.epsilon_connected @t106) (tptp.ordinal @t106))))) % 0.42/0.85 (assume @p108 (and @t148 @t147)) % 0.42/0.85 (assume @p109 (forall @t6 (=> (and @t85 @t153) (not (tptp.empty @t90))))) % 0.42/0.85 (assume @p110 (forall @t6 (=> @t154 (and @t143 (tptp.function @t58))))) % 0.42/0.85 (assume @p111 (forall @t11 (=> @t156 (not @t155)))) % 0.42/0.85 (assume @p112 (forall @t11 (=> @t156 (not @t157)))) % 0.42/0.85 (assume @p113 (forall @t11 (=> @t10 (and @t155 (tptp.relation @t51))))) % 0.42/0.85 (assume @p114 (forall @t11 (=> @t10 (and @t157 (tptp.relation @t113))))) % 0.42/0.85 (assume @p115 (forall @t6 (=> @t145 (and (tptp.empty @t125) @t134)))) % 0.42/0.85 (assume @p116 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.42/0.85 (assume @p117 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.42/0.85 (assume @p118 (forall @t6 (=> @t116 (= (tptp.subset_complement @t1 @t115) @t2)))) % 0.42/0.85 (assume @p119 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t123) @t1)))) % 0.42/0.85 (assume @p120 (forall @t6 (=> @t128 (= (tptp.complements_of_subsets @t1 @t126) @t2)))) % 0.42/0.85 (assume @p121 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.42/0.85 (assume @p122 (forall @t11 (=> @t16 (= @t107 (forall @t71 (=> @t158 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.42/0.85 (assume @p123 (forall @t11 (not (= @t69 tptp.empty_set)))) % 0.42/0.85 (assume @p124 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 0.42/0.85 (assume @p125 (forall @t6 (not (and @t159 @t5)))) % 0.42/0.85 (assume @p126 (forall @t6 (=> @t160 @t159))) % 0.42/0.85 (assume @p127 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t161)))) % 0.42/0.85 (assume @p128 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t102 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 0.42/0.85 (assume @p129 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 0.42/0.85 (assume @p130 (forall @t6 (= (= @t111 tptp.empty_set) @t39))) % 0.42/0.85 (assume @p131 (forall @t6 (=> @t116 (forall @t59 (=> @t72 @t31))))) % 0.42/0.85 (assume @p132 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t102 @t162) @t92)))))) % 0.42/0.85 (assume @p133 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 0.42/0.85 (assume @p134 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t158 (tptp.in @t29 @t60) @t93 @t163 (not @t162)))))))) % 0.42/0.85 (assume @p135 (forall @t6 (= (tptp.subset @t1 @t164) (or @t76 (= @t1 @t164))))) % 0.42/0.85 (assume @p136 (forall @t6 (=> @t5 (tptp.subset @t1 @t165)))) % 0.42/0.85 (assume @p137 (forall @t68 (= (tptp.in @t117 (tptp.cartesian_product2 @t29 @t28)) (and @t166 (tptp.in @t2 @t28))))) % 0.42/0.85 (assume @p138 (forall @t6 (=> @t95 @t167))) % 0.42/0.85 (assume @p139 (forall @t86 (=> @t171 (= @t170 (and (tptp.in @t2 @t168) @t3))))) % 0.42/0.85 (assume @p140 (exists @t11 @t56)) % 0.42/0.85 (assume @p141 (exists @t11 @t20)) % 0.42/0.85 (assume @p142 (exists @t11 (and @t10 @t16))) % 0.42/0.85 (assume @p143 (forall @t11 (=> @t85 (exists @t71 (and @t116 @t153))))) % 0.42/0.85 (assume @p144 (exists @t11 @t10)) % 0.42/0.85 (assume @p145 (exists @t11 @t19)) % 0.42/0.85 (assume @p146 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 0.42/0.85 (assume @p147 (exists @t11 @t156)) % 0.42/0.85 (assume @p148 (forall @t11 (exists @t71 (and @t116 @t83)))) % 0.42/0.85 (assume @p149 (exists @t11 @t85)) % 0.42/0.85 (assume @p150 (exists @t11 @t18)) % 0.42/0.85 (assume @p151 (exists @t11 (and @t85 @t13 @t12 @t15))) % 0.42/0.85 (assume @p152 (exists @t11 @t150)) % 0.42/0.85 (assume @p153 (exists @t11 (and @t16 @t149 @t9))) % 0.42/0.85 (assume @p154 (forall @t6 (=> @t128 (= @t136 @t165)))) % 0.42/0.85 (assume @p155 (forall @t6 (=> @t128 (= @t138 (tptp.set_meet @t2))))) % 0.42/0.85 (assume @p156 (forall @t86 (=> @t141 (= @t139 @t172)))) % 0.42/0.85 (assume @p157 (forall @t6 (=> @t27 (= @t25 @t39)))) % 0.42/0.85 (assume @p158 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 0.42/0.85 (assume @p159 (forall @t6 (tptp.subset @t1 @t1))) % 0.42/0.85 (assume @p160 (forall @t6 (=> @t124 (tptp.disjoint @t2 @t1)))) % 0.42/0.85 (assume @p161 (forall @t11 (tptp.in @t1 @t70))) % 0.42/0.85 (assume @p162 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t173) (not (= @t1 @t28)))))) % 0.42/0.85 (assume @p163 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t174)))))) % 0.42/0.85 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t175 @t1)))) % 0.42/0.85 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 0.42/0.85 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t175 @t176)))) % 0.42/0.85 (assume @p167 (forall @t86 (=> @t39 (and (tptp.subset @t177 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 0.42/0.85 (assume @p168 (forall @t6 (=> @t37 (= @t175 (tptp.set_intersection2 @t176 @t1))))) % 0.42/0.85 (assume @p169 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t177 (tptp.cartesian_product2 @t2 @t28))))) % 0.42/0.85 (assume @p170 (forall @t6 (=> @t39 (= @t23 @t2)))) % 0.42/0.85 (assume @p171 (forall @t11 (exists @t71 (and @t5 @t180 (forall @t59 (=> @t72 (tptp.in @t179 @t2))) @t178)))) % 0.42/0.85 (assume @p172 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t181))))) % 0.42/0.85 (assume @p173 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t168) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 0.42/0.85 (assume @p174 (forall @t6 (=> @t37 (tptp.subset @t182 @t176)))) % 0.42/0.85 (assume @p175 (forall @t6 (=> @t154 (tptp.subset @t184 @t1)))) % 0.42/0.85 (assume @p176 (forall @t6 (=> @t37 (= @t182 (tptp.relation_image @t2 @t185))))) % 0.42/0.85 (assume @p177 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t161) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t182)))))) % 0.42/0.85 (assume @p178 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t113)))) % 0.42/0.85 (assume @p179 (forall @t6 (=> @t154 (=> @t186 (= @t184 @t1))))) % 0.42/0.85 (assume @p180 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t187 (tptp.relation_image @t2 @t113))))))) % 0.42/0.85 (assume @p181 (forall @t86 (=> @t48 (= (tptp.in @t1 @t188) (exists @t54 (and (tptp.in @t28 @t174) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 0.42/0.85 (assume @p182 (forall @t6 (=> @t37 (tptp.subset @t183 @t161)))) % 0.42/0.85 (assume @p183 (forall @t86 (=> @t48 (= (tptp.in @t1 @t189) (and @t166 (tptp.in @t1 @t121)))))) % 0.42/0.85 (assume @p184 (forall @t6 (=> @t37 (not (and @t79 @t186 (= @t183 tptp.empty_set)))))) % 0.42/0.85 (assume @p185 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t188))))) % 0.42/0.85 (assume @p186 (forall @t6 (=> @t37 (= @t190 (tptp.relation_dom_restriction @t58 @t1))))) % 0.42/0.85 (assume @p187 (forall @t6 (tptp.subset @t24 @t1))) % 0.42/0.85 (assume @p188 (forall @t6 (=> @t37 (= @t190 (tptp.relation_rng_restriction @t1 @t191))))) % 0.42/0.85 (assume @p189 (forall @t86 (=> @t48 (=> (tptp.in @t1 (tptp.relation_field @t189)) (and @t193 @t5))))) % 0.42/0.85 (assume @p190 (forall @t86 (=> (and @t39 @t195) (tptp.subset @t1 @t194)))) % 0.42/0.85 (assume @p191 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.42/0.85 (assume @p192 (forall @t6 (=> @t5 @t196))) % 0.42/0.85 (assume @p193 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t195))) % 0.42/0.85 (assume @p194 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.42/0.85 (assume @p195 (forall @t86 (=> @t48 (=> @t198 (and @t197 (tptp.in @t2 @t174)))))) % 0.42/0.85 (assume @p196 (forall @t6 (=> @t37 (and (tptp.subset @t199 (tptp.relation_field @t2)) (tptp.subset @t199 @t1))))) % 0.42/0.85 (assume @p197 (forall @t6 (=> @t154 (forall @t59 (=> @t171 (= @t202 (and @t197 (tptp.in @t200 @t161)))))))) % 0.42/0.85 (assume @p198 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 0.42/0.85 (assume @p199 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t113))))) % 0.42/0.85 (assume @p200 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 0.42/0.85 (assume @p201 (forall @t6 (=> @t154 (forall @t59 (=> @t171 (=> @t202 (= (tptp.apply @t201 @t1) (tptp.apply @t2 @t200)))))))) % 0.42/0.85 (assume @p202 @t206) % 0.42/0.85 (assume @p203 (forall @t6 (=> @t154 (forall @t59 (=> @t171 (=> (tptp.in @t1 @t161) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 0.42/0.85 (assume @p204 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 0.42/0.85 (assume @p205 @t210) % 0.42/0.85 (assume @p206 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t160 @t129 @t4))))))) % 0.42/0.85 (assume @p207 @t214) % 0.42/0.85 (assume @p208 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t161) (tptp.subset @t113 @t176)))))))) % 0.42/0.85 (assume @p209 @t218) % 0.42/0.85 (assume @p210 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t194)))) % 0.42/0.85 (assume @p211 (forall @t6 (=> @t39 (= @t24 @t1)))) % 0.42/0.85 (assume @p212 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.42/0.85 (assume @p213 (forall @t6 (=> @t196 (or @t83 @t5)))) % 0.42/0.85 (assume @p214 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 0.42/0.85 (assume @p215 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.42/0.85 (assume @p216 (forall @t86 (=> @t48 (=> @t198 (and @t193 (tptp.in @t2 @t192)))))) % 0.42/0.85 (assume @p217 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 0.42/0.85 (assume @p218 @t222) % 0.42/0.85 (assume @p219 (forall @t6 (=> @t26 (not (and @t39 @t79 (forall @t59 (=> (tptp.ordinal @t29) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t28) (=> @t78 (tptp.ordinal_subset @t29 @t28))))))))))))) % 0.42/0.85 (assume @p220 @t227) % 0.42/0.85 (assume @p221 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 0.42/0.85 (assume @p222 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t172)))) % 0.42/0.85 (assume @p223 (forall @t68 (=> (= @t117 @t32) (and @t173 (= @t2 @t28))))) % 0.42/0.85 (assume @p224 (forall @t6 (=> @t154 (= @t36 (and (= @t161 @t1) (forall @t59 (=> @t31 (= @t228 @t29)))))))) % 0.42/0.85 (assume @p225 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 0.42/0.85 (assume @p226 (forall @t6 (tptp.subset @t111 @t1))) % 0.42/0.85 (assume @p227 (forall @t11 (=> @t16 (and (= @t113 (tptp.relation_dom @t123)) (= @t51 (tptp.relation_rng @t123)))))) % 0.42/0.85 (assume @p228 (forall @t86 (= (tptp.subset @t21 @t29) (and @t166 @t94)))) % 0.42/0.85 (assume @p229 (forall @t6 (= @t229 @t23))) % 0.42/0.85 (assume @p230 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.42/0.85 (assume @p231 (forall @t86 (not (and @t5 @t94 @t31)))) % 0.42/0.85 (assume @p232 (forall @t6 (= @t167 @t39))) % 0.42/0.85 (assume @p233 (forall @t6 (and (not (and @t231 (forall @t59 (not @t230)))) (not (and (exists @t59 @t230) @t124))))) % 0.42/0.85 (assume @p234 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 0.42/0.85 (assume @p235 (forall @t6 (= (tptp.set_difference @t23 @t2) @t111))) % 0.42/0.85 (assume @p236 (forall @t11 (=> @t15 (= @t120 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t232 @t1)))))))) % 0.42/0.85 (assume @p237 (forall @t11 (=> @t15 (and (not (and (not @t120) (forall @t71 (=> @t26 (not @t233))))) (not (and (exists @t71 (and @t26 @t233)) @t120)))))) % 0.42/0.85 (assume @p238 (forall @t6 (=> @t116 (forall @t59 (=> @t140 (= @t235 (tptp.subset @t2 @t234))))))) % 0.42/0.85 (assume @p239 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t236 @t51)))))) % 0.42/0.85 (assume @p240 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t187 @t176)))))) % 0.42/0.85 (assume @p241 (forall @t6 (=> @t39 (= @t2 @t229)))) % 0.42/0.85 (assume @p242 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t113 @t161) (= @t236 @t51))))))) % 0.42/0.85 (assume @p243 (forall @t6 (=> @t128 (not (and @t87 (= @t126 tptp.empty_set)))))) % 0.42/0.85 (assume @p244 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t176) (= (tptp.relation_rng @t144) @t113))))))) % 0.42/0.85 (assume @p245 (forall @t6 (=> @t128 (=> @t87 (= (tptp.subset_difference @t1 @t105 @t136) (tptp.meet_of_subsets @t1 @t126)))))) % 0.42/0.85 (assume @p246 (forall @t6 (=> @t128 (=> @t87 (= (tptp.union_of_subsets @t1 @t126) (tptp.subset_difference @t1 @t105 @t138)))))) % 0.42/0.85 (assume @p247 (forall @t6 (= (tptp.set_difference @t1 @t111) @t24))) % 0.42/0.85 (assume @p248 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.42/0.85 (assume @p249 (forall @t86 (=> (and @t5 @t237) (tptp.element @t1 @t29)))) % 0.42/0.85 (assume @p250 (forall @t6 (and (not (and @t231 (forall @t59 (not @t238)))) (not (and (exists @t59 @t238) @t124))))) % 0.42/0.85 (assume @p251 (forall @t11 (=> @t79 (forall @t71 (=> @t116 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t115))))))))) % 0.42/0.85 (assume @p252 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t154 (= (= @t2 @t130) (and (= @t161 @t113) (forall @t34 (and (=> @t239 @t112) (=> @t112 @t239))))))))))) % 0.42/0.85 (assume @p253 (forall @t86 (=> @t140 (not (and (tptp.in @t2 @t234) @t94))))) % 0.42/0.85 (assume @p254 (forall @t11 (=> @t56 (=> @t17 (and (= @t113 (tptp.relation_dom @t130)) (= @t51 (tptp.relation_rng @t130))))))) % 0.42/0.85 (assume @p255 (forall @t11 (=> @t16 (=> (forall @t49 @t163) @t76)))) % 0.42/0.85 (assume @p256 (forall @t6 (=> @t154 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t176)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t240 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t240 @t2) @t1))))))) % 0.42/0.85 (assume @p257 (forall @t86 (not (and @t5 @t237 (tptp.empty @t29))))) % 0.42/0.85 (assume @p258 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 0.42/0.85 (assume @p259 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.42/0.85 (assume @p260 (forall @t6 (not (and @t39 @t7)))) % 0.42/0.85 (assume @p261 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t130))))) % 0.42/0.85 (assume @p262 (forall @t86 (=> (and @t39 @t235) (tptp.disjoint @t1 @t29)))) % 0.42/0.85 (assume @p263 (forall @t11 (=> @t16 (=> (or @t242 @t241) @t76)))) % 0.42/0.85 (assume @p264 (forall @t11 (=> @t16 (= @t242 @t241)))) % 0.42/0.85 (assume @p265 (forall @t6 (= (= (tptp.set_difference @t1 @t164) @t1) @t4))) % 0.42/0.85 (assume @p266 (forall @t6 (=> @t154 (forall @t59 (=> @t171 (= (= @t2 @t169) (and (= @t161 (tptp.set_intersection2 @t168 @t1)) (forall @t54 (=> (tptp.in @t28 @t161) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 0.42/0.85 (assume @p267 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 0.42/0.85 (assume @p268 (forall @t11 (=> @t10 @t76))) % 0.42/0.85 (assume @p269 (forall @t6 (=> (tptp.subset @t69 @t164) @t40))) % 0.42/0.85 (assume @p270 (forall @t86 (=> @t171 (=> @t170 @t243)))) % 0.42/0.85 (assume @p271 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 0.42/0.85 (assume @p272 (forall @t86 (=> @t171 (=> @t3 @t243)))) % 0.42/0.85 (assume @p273 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t117 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t166 (tptp.in @t117 @t28)))))) % 0.42/0.85 (assume @p274 (forall @t6 (not (and @t5 @t83)))) % 0.42/0.85 (assume @p275 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 0.42/0.85 (assume @p276 (forall @t6 (tptp.subset @t1 @t23))) % 0.42/0.85 (assume @p277 (forall @t6 (= @t124 (= @t111 @t1)))) % 0.42/0.85 (assume @p278 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t181)) (and @t5 @t197))))) % 0.42/0.85 (assume @p279 (forall @t6 (=> @t37 (tptp.subset @t191 @t2)))) % 0.42/0.85 (assume @p280 (forall @t6 (not (and @t10 @t129 @t83)))) % 0.42/0.85 (assume @p281 (forall @t86 (=> @t171 (= @t198 (and @t197 (= @t2 @t200)))))) % 0.42/0.85 (assume @p282 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t108)))) % 0.42/0.85 (assume @p283 (forall @t86 (=> (and @t39 @t97) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 0.42/0.85 (assume @p284 (forall @t86 (=> @t244 @t40))) % 0.42/0.85 (assume @p285 (forall @t6 (=> @t37 (= (tptp.relation_dom @t191) @t185)))) % 0.42/0.85 (assume @p286 (forall @t6 (=> @t37 (= @t191 (tptp.relation_composition @t35 @t2))))) % 0.42/0.85 (assume @p287 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t191) @t176)))) % 0.42/0.85 (assume @p288 (forall @t11 (= (tptp.union @t81) @t1))) % 0.42/0.85 (assume @p289 (forall @t11 (exists @t71 (and @t5 @t180 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t178)))) % 0.42/0.85 (assume @p290 (forall @t86 (=> @t244 @t92))) % 0.42/0.85 (step @p291 :rule bool-impl-elim :args (@t16 @t109)) % 0.42/0.85 (step @p292 :rule cong :premises (@p291) :args (@t110)) % 0.42/0.85 (step @p293 :rule eq_resolve :premises (@p51 @p292)) % 0.42/0.85 (step @p294 :rule instantiate :premises (@p293) :args ((@list @t251))) % 0.42/0.85 (step @p295 :rule bool-impl-elim :args (@t16 @t131)) % 0.42/0.85 (step @p296 :rule cong :premises (@p295) :args (@t132)) % 0.42/0.85 (step @p297 :rule eq_resolve :premises (@p74 @p296)) % 0.42/0.85 (step @p298 :rule instantiate :premises (@p297) :args ((@list @t250 @t249))) % 0.42/0.85 (step @p299 :rule aci_norm :args ((= (or @t246 (or @t245 @t223)) @t247))) % 0.42/0.85 (step @p300 :rule bool-impl-elim :args (@t224 @t223)) % 0.42/0.85 (step @p301 :rule refl :args (@t246)) % 0.42/0.85 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t246 @t225))) % 0.42/0.85 (step @p303 :rule trans :premises (@p302 @p299)) % 0.42/0.85 (step @p304 :rule bool-impl-elim :args (@t37 @t225)) % 0.42/0.85 (step @p305 :rule trans :premises (@p304 @p303)) % 0.42/0.85 (step @p306 :rule cong :premises (@p305) :args (@t226)) % 0.42/0.85 (step @p307 :rule cong :premises (@p306) :args (@t227)) % 0.42/0.85 (step @p308 :rule eq_resolve :premises (@p220 @p307)) % 0.42/0.85 (step @p309 :rule skolemize :premises (@p308)) % 0.42/0.85 (step @p310 :rule bool-double-not-elim :args (@t252)) % 0.42/0.85 (step @p311 :rule refl :args (@t257)) % 0.42/0.85 (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or @t257 (not @t256)))) % 0.42/0.85 (step @p313 :rule cnf_or_neg :args (@t257 0)) % 0.42/0.85 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 0.42/0.85 (step @p315 :rule reordering :premises (@p314) :args ((or @t252 @t257))) % 0.42/0.85 (step @p316 :rule chain_m_resolution :premises (@p315 @p309) :args (@t252 @t258 @t259)) % 0.42/0.85 (step @p317 :rule cnf_or_pos :args (@t261)) % 0.42/0.85 (step @p318 :rule reordering :premises (@p317) :args ((or @t256 @t260 (not @t261)))) % 0.42/0.85 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p298) :args (@t260 @t262 (@list @t252 @t261))) % 0.42/0.85 (step @p320 :rule cnf_or_pos :args (@t271)) % 0.42/0.85 (step @p321 :rule reordering :premises (@p320) :args ((or @t270 @t269 (not @t271)))) % 0.42/0.85 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p294) :args (@t269 @t262 (@list @t260 @t271))) % 0.42/0.85 (step @p323 :rule cnf_or_neg :args (@t257 2)) % 0.42/0.85 (step @p324 :rule chain_m_resolution :premises (@p323 @p309) :args ((not @t253) @t258 @t259)) % 0.42/0.85 (step @p325 :rule cnf_equiv_pos2 :args (@t269)) % 0.42/0.85 (step @p326 :rule reordering :premises (@p325) :args ((or @t253 @t272 (not @t269)))) % 0.42/0.85 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p322) :args (@t272 (@list true false) (@list @t253 @t269))) % 0.42/0.85 (step @p328 :rule aci_norm :args ((= (or @t246 (or @t273 @t219)) (or @t246 @t273 @t219)))) % 0.42/0.85 (step @p329 :rule bool-impl-elim :args (@t220 @t219)) % 0.42/0.85 (step @p330 :rule nary_cong :premises (@p301 @p329) :args ((or @t246 @t221))) % 0.42/0.85 (step @p331 :rule trans :premises (@p330 @p328)) % 0.42/0.85 (step @p332 :rule bool-impl-elim :args (@t37 @t221)) % 0.42/0.85 (step @p333 :rule trans :premises (@p332 @p331)) % 0.42/0.85 (step @p334 :rule cong :premises (@p333) :args (@t222)) % 0.42/0.85 (step @p335 :rule eq_resolve :premises (@p218 @p334)) % 0.42/0.85 (step @p336 :rule instantiate :premises (@p335) :args (@t274)) % 0.42/0.85 (step @p337 :rule instantiate :premises (@p293) :args ((@list @t250))) % 0.42/0.85 (step @p338 :rule cnf_or_pos :args (@t282)) % 0.42/0.85 (step @p339 :rule reordering :premises (@p338) :args ((or @t256 @t281 (not @t282)))) % 0.42/0.85 (step @p340 :rule chain_m_resolution :premises (@p339 @p316 @p337) :args (@t281 @t262 (@list @t252 @t282))) % 0.42/0.85 (step @p341 :rule bool-double-not-elim :args (@t254)) % 0.42/0.85 (step @p342 :rule nary_cong :premises (@p311 @p341) :args ((or @t257 (not @t255)))) % 0.42/0.85 (step @p343 :rule cnf_or_neg :args (@t257 1)) % 0.42/0.85 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.42/0.85 (step @p345 :rule reordering :premises (@p344) :args ((or @t254 @t257))) % 0.42/0.85 (step @p346 :rule chain_m_resolution :premises (@p345 @p309) :args (@t254 @t258 @t259)) % 0.42/0.85 (step @p347 :rule cnf_equiv_pos1 :args (@t281)) % 0.42/0.85 (step @p348 :rule reordering :premises (@p347) :args ((or @t255 @t280 (not @t281)))) % 0.42/0.85 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p340) :args (@t280 @t262 (@list @t254 @t281))) % 0.42/0.85 (step @p350 :rule cnf_and_pos :args (@t280 4)) % 0.42/0.85 (step @p351 :rule reordering :premises (@p350) :args ((or @t275 @t283))) % 0.42/0.85 (step @p352 :rule chain_m_resolution :premises (@p351 @p349) :args (@t275 @t284 @t285)) % 0.42/0.85 (step @p353 :rule cnf_or_pos :args (@t287)) % 0.42/0.85 (step @p354 :rule reordering :premises (@p353) :args ((or @t256 @t263 @t286 (not @t287)))) % 0.42/0.85 (step @p355 :rule chain_m_resolution :premises (@p354 @p316 @p352 @p336) :args (@t263 @t288 (@list @t252 @t275 @t287))) % 0.42/0.85 (step @p356 :rule aci_norm :args ((= (or @t246 (or @t289 @t207)) (or @t246 @t289 @t207)))) % 0.42/0.85 (step @p357 :rule bool-impl-elim :args (@t208 @t207)) % 0.42/0.85 (step @p358 :rule nary_cong :premises (@p301 @p357) :args ((or @t246 @t209))) % 0.42/0.85 (step @p359 :rule trans :premises (@p358 @p356)) % 0.42/0.85 (step @p360 :rule bool-impl-elim :args (@t37 @t209)) % 0.42/0.85 (step @p361 :rule trans :premises (@p360 @p359)) % 0.42/0.85 (step @p362 :rule cong :premises (@p361) :args (@t210)) % 0.42/0.85 (step @p363 :rule eq_resolve :premises (@p205 @p362)) % 0.42/0.85 (step @p364 :rule instantiate :premises (@p363) :args (@t274)) % 0.42/0.85 (step @p365 :rule cnf_and_pos :args (@t280 3)) % 0.42/0.85 (step @p366 :rule reordering :premises (@p365) :args ((or @t276 @t283))) % 0.42/0.85 (step @p367 :rule chain_m_resolution :premises (@p366 @p349) :args (@t276 @t284 @t285)) % 0.42/0.85 (step @p368 :rule cnf_or_pos :args (@t291)) % 0.42/0.85 (step @p369 :rule reordering :premises (@p368) :args ((or @t256 @t264 @t290 (not @t291)))) % 0.42/0.85 (step @p370 :rule chain_m_resolution :premises (@p369 @p316 @p367 @p364) :args (@t264 @t288 (@list @t252 @t276 @t291))) % 0.42/0.85 (step @p371 :rule aci_norm :args ((= (or @t246 (or @t292 @t215)) (or @t246 @t292 @t215)))) % 0.42/0.85 (step @p372 :rule bool-impl-elim :args (@t216 @t215)) % 0.42/0.85 (step @p373 :rule nary_cong :premises (@p301 @p372) :args ((or @t246 @t217))) % 0.42/0.85 (step @p374 :rule trans :premises (@p373 @p371)) % 0.42/0.85 (step @p375 :rule bool-impl-elim :args (@t37 @t217)) % 0.42/0.85 (step @p376 :rule trans :premises (@p375 @p374)) % 0.42/0.85 (step @p377 :rule cong :premises (@p376) :args (@t218)) % 0.42/0.85 (step @p378 :rule eq_resolve :premises (@p209 @p377)) % 0.42/0.85 (step @p379 :rule instantiate :premises (@p378) :args (@t274)) % 0.42/0.85 (step @p380 :rule cnf_and_pos :args (@t280 2)) % 0.42/0.85 (step @p381 :rule reordering :premises (@p380) :args ((or @t277 @t283))) % 0.42/0.85 (step @p382 :rule chain_m_resolution :premises (@p381 @p349) :args (@t277 @t284 @t285)) % 0.42/0.85 (step @p383 :rule cnf_or_pos :args (@t294)) % 0.42/0.85 (step @p384 :rule reordering :premises (@p383) :args ((or @t256 @t265 @t293 (not @t294)))) % 0.42/0.85 (step @p385 :rule chain_m_resolution :premises (@p384 @p316 @p382 @p379) :args (@t265 @t288 (@list @t252 @t277 @t294))) % 0.42/0.85 (step @p386 :rule aci_norm :args ((= (or @t246 (or @t295 @t203)) (or @t246 @t295 @t203)))) % 0.42/0.85 (step @p387 :rule bool-impl-elim :args (@t204 @t203)) % 0.42/0.85 (step @p388 :rule nary_cong :premises (@p301 @p387) :args ((or @t246 @t205))) % 0.42/0.85 (step @p389 :rule trans :premises (@p388 @p386)) % 0.42/0.85 (step @p390 :rule bool-impl-elim :args (@t37 @t205)) % 0.42/0.85 (step @p391 :rule trans :premises (@p390 @p389)) % 0.42/0.85 (step @p392 :rule cong :premises (@p391) :args (@t206)) % 0.42/0.85 (step @p393 :rule eq_resolve :premises (@p202 @p392)) % 0.42/0.85 (step @p394 :rule instantiate :premises (@p393) :args (@t274)) % 0.42/0.85 (step @p395 :rule cnf_and_pos :args (@t280 0)) % 0.42/0.85 (step @p396 :rule reordering :premises (@p395) :args ((or @t279 @t283))) % 0.42/0.85 (step @p397 :rule chain_m_resolution :premises (@p396 @p349) :args (@t279 @t284 @t285)) % 0.42/0.85 (step @p398 :rule cnf_or_pos :args (@t297)) % 0.42/0.85 (step @p399 :rule reordering :premises (@p398) :args ((or @t256 @t267 @t296 (not @t297)))) % 0.42/0.85 (step @p400 :rule chain_m_resolution :premises (@p399 @p316 @p397 @p394) :args (@t267 @t288 (@list @t252 @t279 @t297))) % 0.42/0.85 (step @p401 :rule aci_norm :args ((= (or @t246 (or @t298 @t211)) (or @t246 @t298 @t211)))) % 0.42/0.85 (step @p402 :rule bool-impl-elim :args (@t212 @t211)) % 0.42/0.85 (step @p403 :rule nary_cong :premises (@p301 @p402) :args ((or @t246 @t213))) % 0.42/0.85 (step @p404 :rule trans :premises (@p403 @p401)) % 0.42/0.85 (step @p405 :rule bool-impl-elim :args (@t37 @t213)) % 0.42/0.85 (step @p406 :rule trans :premises (@p405 @p404)) % 0.42/0.85 (step @p407 :rule cong :premises (@p406) :args (@t214)) % 0.42/0.85 (step @p408 :rule eq_resolve :premises (@p207 @p407)) % 0.42/0.85 (step @p409 :rule instantiate :premises (@p408) :args (@t274)) % 0.42/0.85 (step @p410 :rule cnf_and_pos :args (@t280 1)) % 0.42/0.85 (step @p411 :rule reordering :premises (@p410) :args ((or @t278 @t283))) % 0.42/0.85 (step @p412 :rule chain_m_resolution :premises (@p411 @p349) :args (@t278 @t284 @t285)) % 0.42/0.85 (step @p413 :rule cnf_or_pos :args (@t300)) % 0.42/0.85 (step @p414 :rule reordering :premises (@p413) :args ((or @t256 @t266 @t299 (not @t300)))) % 0.42/0.85 (step @p415 :rule chain_m_resolution :premises (@p414 @p316 @p412 @p409) :args (@t266 @t288 (@list @t252 @t278 @t300))) % 0.42/0.85 (step @p416 :rule cnf_and_neg :args (@t268)) % 0.42/0.85 (step @p417 false :rule chain_m_resolution :premises (@p416 @p415 @p400 @p385 @p370 @p355 @p327) :args (false (@list false false false false false true) (@list @t266 @t267 @t265 @t264 @t263 @t268))) % 0.42/0.85 ) % 0.42/0.85 % SZS output end Proof % 0.42/0.85 % cvc5 exiting %------------------------------------------------------------------------------