%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU270+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:12 AM UTC 2026 % Result : Theorem 40.55s 40.76s % Output : Proof 40.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU270+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:49:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.39/0.57 %----Proving TF0_NAR, FOF, or CNF % 40.55/40.76 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 40.55/40.76 --- Run --no-e-matching --full-saturate-quant at 6... % 40.55/40.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 40.55/40.76 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 40.55/40.76 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 40.55/40.76 % SZS status Theorem % 40.55/40.76 % SZS output start Proof % 40.55/40.76 ( % 40.55/40.76 (declare-sort $$unsorted 0) % 40.55/40.76 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.empty_set $$unsorted) % 40.55/40.76 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.empty (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.function (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.connected (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.pair_second (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.transitive (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.pair_first (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 40.55/40.76 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_dom_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 40.55/40.76 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 40.55/40.76 (define @t1 () (@var "A" $$unsorted)) % 40.55/40.76 (define @t2 () (@var "B" $$unsorted)) % 40.55/40.76 (define @t3 () (tptp.in @t2 @t1)) % 40.55/40.76 (define @t4 () (not @t3)) % 40.55/40.76 (define @t5 () (tptp.in @t1 @t2)) % 40.55/40.76 (define @t6 () (@list @t1 @t2)) % 40.55/40.76 (define @t7 () (tptp.proper_subset @t2 @t1)) % 40.55/40.76 (define @t8 () (tptp.proper_subset @t1 @t2)) % 40.55/40.76 (define @t9 () (tptp.function @t1)) % 40.55/40.76 (define @t10 () (tptp.empty @t1)) % 40.55/40.76 (define @t11 () (@list @t1)) % 40.55/40.76 (define @t12 () (tptp.epsilon_connected @t1)) % 40.55/40.76 (define @t13 () (tptp.epsilon_transitive @t1)) % 40.55/40.76 (define @t14 () (and @t13 @t12)) % 40.55/40.76 (define @t15 () (tptp.ordinal @t1)) % 40.55/40.76 (define @t16 () (tptp.relation @t1)) % 40.55/40.76 (define @t17 () (@var "C" $$unsorted)) % 40.55/40.76 (define @t18 () (tptp.relation @t17)) % 40.55/40.76 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 40.55/40.76 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 40.55/40.76 (define @t21 () (@list @t1 @t2 @t17)) % 40.55/40.76 (define @t22 () (tptp.one_to_one @t1)) % 40.55/40.76 (define @t23 () (and @t16 @t9 @t22)) % 40.55/40.76 (define @t24 () (and @t16 @t10 @t9)) % 40.55/40.76 (define @t25 () (and @t13 @t12 @t15)) % 40.55/40.76 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 40.55/40.76 (define @t27 () (tptp.set_union2 @t2 @t1)) % 40.55/40.76 (define @t28 () (tptp.set_union2 @t1 @t2)) % 40.55/40.76 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 40.55/40.76 (define @t30 () (tptp.ordinal_subset @t2 @t1)) % 40.55/40.76 (define @t31 () (tptp.ordinal_subset @t1 @t2)) % 40.55/40.76 (define @t32 () (or @t31 @t30)) % 40.55/40.76 (define @t33 () (tptp.ordinal @t2)) % 40.55/40.76 (define @t34 () (and @t15 @t33)) % 40.55/40.76 (define @t35 () (forall @t6 (=> @t34 @t32))) % 40.55/40.76 (define @t36 () (@var "D" $$unsorted)) % 40.55/40.76 (define @t37 () (= @t17 @t36)) % 40.55/40.76 (define @t38 () (tptp.in @t17 @t1)) % 40.55/40.76 (define @t39 () (tptp.ordered_pair @t17 @t36)) % 40.55/40.76 (define @t40 () (tptp.in @t39 @t2)) % 40.55/40.76 (define @t41 () (@list @t17 @t36)) % 40.55/40.76 (define @t42 () (tptp.identity_relation @t1)) % 40.55/40.76 (define @t43 () (= @t2 @t42)) % 40.55/40.76 (define @t44 () (tptp.relation @t2)) % 40.55/40.76 (define @t45 () (tptp.subset @t2 @t1)) % 40.55/40.76 (define @t46 () (tptp.subset @t1 @t2)) % 40.55/40.76 (define @t47 () (= @t1 @t2)) % 40.55/40.76 (define @t48 () (@var "E" $$unsorted)) % 40.55/40.76 (define @t49 () (tptp.ordered_pair @t36 @t48)) % 40.55/40.76 (define @t50 () (tptp.in @t49 @t1)) % 40.55/40.76 (define @t51 () (tptp.in @t36 @t2)) % 40.55/40.76 (define @t52 () (tptp.in @t49 @t17)) % 40.55/40.76 (define @t53 () (@list @t36 @t48)) % 40.55/40.76 (define @t54 () (tptp.relation_dom_restriction @t1 @t2)) % 40.55/40.76 (define @t55 () (@list @t2 @t17)) % 40.55/40.76 (define @t56 () (tptp.in @t48 @t2)) % 40.55/40.76 (define @t57 () (tptp.relation_dom @t1)) % 40.55/40.76 (define @t58 () (@list @t48)) % 40.55/40.76 (define @t59 () (tptp.in @t36 @t17)) % 40.55/40.76 (define @t60 () (@list @t36)) % 40.55/40.76 (define @t61 () (= @t17 (tptp.relation_image @t1 @t2))) % 40.55/40.76 (define @t62 () (and @t16 @t9)) % 40.55/40.76 (define @t63 () (tptp.in @t48 @t1)) % 40.55/40.76 (define @t64 () (tptp.relation_rng_restriction @t1 @t2)) % 40.55/40.76 (define @t65 () (@list @t17)) % 40.55/40.76 (define @t66 () (tptp.relation_field @t1)) % 40.55/40.76 (define @t67 () (tptp.antisymmetric @t1)) % 40.55/40.76 (define @t68 () (tptp.apply @t1 @t36)) % 40.55/40.76 (define @t69 () (tptp.in @t36 @t57)) % 40.55/40.76 (define @t70 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 40.55/40.76 (define @t71 () (tptp.ordered_pair @t48 @t36)) % 40.55/40.76 (define @t72 () (tptp.connected @t1)) % 40.55/40.76 (define @t73 () (tptp.transitive @t1)) % 40.55/40.76 (define @t74 () (tptp.in @t48 @t36)) % 40.55/40.76 (define @t75 () (@list @t1 @t2 @t17 @t36)) % 40.55/40.76 (define @t76 () (= @t2 @t17)) % 40.55/40.76 (define @t77 () (= @t1 @t39)) % 40.55/40.76 (define @t78 () (@list @t2)) % 40.55/40.76 (define @t79 () (tptp.ordered_pair @t2 @t17)) % 40.55/40.76 (define @t80 () (exists @t55 (= @t1 @t79))) % 40.55/40.76 (define @t81 () (tptp.singleton @t1)) % 40.55/40.76 (define @t82 () (tptp.succ @t1)) % 40.55/40.76 (define @t83 () (tptp.in @t17 @t2)) % 40.55/40.76 (define @t84 () (tptp.is_reflexive_in @t1 @t2)) % 40.55/40.76 (define @t85 () (tptp.relation_of2 @t17 @t1 @t2)) % 40.55/40.76 (define @t86 () (= @t2 tptp.empty_set)) % 40.55/40.76 (define @t87 () (= @t2 (tptp.set_meet @t1))) % 40.55/40.76 (define @t88 () (= @t1 tptp.empty_set)) % 40.55/40.76 (define @t89 () (tptp.in @t17 @t36)) % 40.55/40.76 (define @t90 () (tptp.in @t36 @t1)) % 40.55/40.76 (define @t91 () (not @t88)) % 40.55/40.76 (define @t92 () (= @t36 @t2)) % 40.55/40.76 (define @t93 () (tptp.subset @t17 @t36)) % 40.55/40.76 (define @t94 () (= @t40 @t93)) % 40.55/40.76 (define @t95 () (and @t38 @t90)) % 40.55/40.76 (define @t96 () (forall @t41 (=> @t95 @t94))) % 40.55/40.76 (define @t97 () (tptp.relation_field @t2)) % 40.55/40.76 (define @t98 () (and (= @t97 @t1) @t96)) % 40.55/40.76 (define @t99 () (tptp.inclusion_relation @t1)) % 40.55/40.76 (define @t100 () (= @t2 @t99)) % 40.55/40.76 (define @t101 () (= @t100 @t98)) % 40.55/40.76 (define @t102 () (=> @t44 @t101)) % 40.55/40.76 (define @t103 () (forall @t6 @t102)) % 40.55/40.76 (define @t104 () (tptp.powerset @t1)) % 40.55/40.76 (define @t105 () (= @t2 @t36)) % 40.55/40.76 (define @t106 () (tptp.in @t39 @t1)) % 40.55/40.76 (define @t107 () (tptp.empty @t2)) % 40.55/40.76 (define @t108 () (tptp.element @t2 @t1)) % 40.55/40.76 (define @t109 () (not @t10)) % 40.55/40.76 (define @t110 () (not @t86)) % 40.55/40.76 (define @t111 () (tptp.well_founded_relation @t1)) % 40.55/40.76 (define @t112 () (@var "F" $$unsorted)) % 40.55/40.76 (define @t113 () (not @t83)) % 40.55/40.76 (define @t114 () (not @t76)) % 40.55/40.76 (define @t115 () (tptp.in @t2 @t17)) % 40.55/40.76 (define @t116 () (forall @t65 (=> @t38 @t83))) % 40.55/40.76 (define @t117 () (= @t17 tptp.empty_set)) % 40.55/40.76 (define @t118 () (tptp.subset @t17 @t2)) % 40.55/40.76 (define @t119 () (tptp.is_well_founded_in @t1 @t2)) % 40.55/40.76 (define @t120 () (tptp.apply @t1 @t2)) % 40.55/40.76 (define @t121 () (= @t17 @t120)) % 40.55/40.76 (define @t122 () (tptp.in @t2 @t57)) % 40.55/40.76 (define @t123 () (tptp.in @t79 @t1)) % 40.55/40.76 (define @t124 () (tptp.in (tptp.ordered_pair @t36 @t17) @t1)) % 40.55/40.76 (define @t125 () (tptp.is_antisymmetric_in @t1 @t2)) % 40.55/40.76 (define @t126 () (tptp.cast_to_subset @t1)) % 40.55/40.76 (define @t127 () (tptp.union @t1)) % 40.55/40.76 (define @t128 () (tptp.reflexive @t1)) % 40.55/40.76 (define @t129 () (tptp.well_ordering @t1)) % 40.55/40.76 (define @t130 () (tptp.set_difference @t1 @t2)) % 40.55/40.76 (define @t131 () (and @t69 (= @t17 @t68))) % 40.55/40.76 (define @t132 () (tptp.relation_rng @t1)) % 40.55/40.76 (define @t133 () (= @t2 @t132)) % 40.55/40.76 (define @t134 () (tptp.subset_complement @t1 @t2)) % 40.55/40.76 (define @t135 () (tptp.element @t2 @t104)) % 40.55/40.76 (define @t136 () (tptp.ordered_pair @t1 @t2)) % 40.55/40.76 (define @t137 () (tptp.is_connected_in @t1 @t2)) % 40.55/40.76 (define @t138 () (tptp.is_transitive_in @t1 @t2)) % 40.55/40.76 (define @t139 () (tptp.being_limit_ordinal @t1)) % 40.55/40.76 (define @t140 () (tptp.cartesian_product2 @t2 @t2)) % 40.55/40.76 (define @t141 () (tptp.relation_restriction @t1 @t2)) % 40.55/40.76 (define @t142 () (tptp.relation_inverse @t1)) % 40.55/40.76 (define @t143 () (tptp.apply @t17 @t36)) % 40.55/40.76 (define @t144 () (tptp.relation_rng @t17)) % 40.55/40.76 (define @t145 () (tptp.relation_dom @t17)) % 40.55/40.76 (define @t146 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 40.55/40.76 (define @t147 () (and @t18 (tptp.function @t17))) % 40.55/40.76 (define @t148 () (tptp.disjoint @t1 @t2)) % 40.55/40.76 (define @t149 () (tptp.relation_composition @t1 @t2)) % 40.55/40.76 (define @t150 () (tptp.complements_of_subsets @t1 @t2)) % 40.55/40.76 (define @t151 () (tptp.powerset @t104)) % 40.55/40.76 (define @t152 () (tptp.element @t2 @t151)) % 40.55/40.76 (define @t153 () (not @t47)) % 40.55/40.76 (define @t154 () (tptp.function_inverse @t1)) % 40.55/40.76 (define @t155 () (tptp.relation @t142)) % 40.55/40.76 (define @t156 () (tptp.relation_dom_as_subset @t1 @t2 @t17)) % 40.55/40.76 (define @t157 () (tptp.relation @t149)) % 40.55/40.76 (define @t158 () (and @t16 @t44)) % 40.55/40.76 (define @t159 () (tptp.powerset @t2)) % 40.55/40.76 (define @t160 () (tptp.relation_rng_as_subset @t1 @t2 @t17)) % 40.55/40.76 (define @t161 () (tptp.union_of_subsets @t1 @t2)) % 40.55/40.76 (define @t162 () (tptp.relation @t42)) % 40.55/40.76 (define @t163 () (tptp.meet_of_subsets @t1 @t2)) % 40.55/40.76 (define @t164 () (tptp.subset_difference @t1 @t2 @t17)) % 40.55/40.76 (define @t165 () (tptp.element @t17 @t104)) % 40.55/40.76 (define @t166 () (and @t135 @t165)) % 40.55/40.76 (define @t167 () (tptp.relation @t54)) % 40.55/40.76 (define @t168 () (tptp.relation @t64)) % 40.55/40.76 (define @t169 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 40.55/40.76 (define @t170 () (tptp.relation_composition @t2 @t1)) % 40.55/40.76 (define @t171 () (and @t10 @t44)) % 40.55/40.76 (define @t172 () (tptp.relation_empty_yielding tptp.empty_set)) % 40.55/40.76 (define @t173 () (tptp.relation tptp.empty_set)) % 40.55/40.76 (define @t174 () (tptp.empty tptp.empty_set)) % 40.55/40.76 (define @t175 () (tptp.relation_empty_yielding @t1)) % 40.55/40.76 (define @t176 () (and @t16 @t175)) % 40.55/40.76 (define @t177 () (tptp.function @t2)) % 40.55/40.76 (define @t178 () (not (tptp.empty @t82))) % 40.55/40.76 (define @t179 () (not @t107)) % 40.55/40.76 (define @t180 () (and @t44 @t177)) % 40.55/40.76 (define @t181 () (tptp.empty @t57)) % 40.55/40.76 (define @t182 () (and @t109 @t16)) % 40.55/40.76 (define @t183 () (tptp.empty @t132)) % 40.55/40.76 (define @t184 () (tptp.in @t2 @t66)) % 40.55/40.76 (define @t185 () (tptp.disjoint @t81 @t2)) % 40.55/40.76 (define @t186 () (not @t5)) % 40.55/40.76 (define @t187 () (tptp.relation_dom @t2)) % 40.55/40.76 (define @t188 () (tptp.ordered_pair @t17 @t2)) % 40.55/40.76 (define @t189 () (tptp.in @t188 @t1)) % 40.55/40.76 (define @t190 () (not @t189)) % 40.55/40.76 (define @t191 () (not @t123)) % 40.55/40.76 (define @t192 () (tptp.in @t17 @t66)) % 40.55/40.76 (define @t193 () (forall @t55 (not (and @t184 @t192 @t114 @t191 @t190)))) % 40.55/40.76 (define @t194 () (= @t72 @t193)) % 40.55/40.76 (define @t195 () (=> @t16 @t194)) % 40.55/40.76 (define @t196 () (forall @t11 @t195)) % 40.55/40.76 (define @t197 () (tptp.singleton @t2)) % 40.55/40.76 (define @t198 () (tptp.union @t2)) % 40.55/40.76 (define @t199 () (tptp.in @t1 @t17)) % 40.55/40.76 (define @t200 () (tptp.element @t1 @t159)) % 40.55/40.76 (define @t201 () (tptp.relation_dom_restriction @t17 @t1)) % 40.55/40.76 (define @t202 () (tptp.in @t2 (tptp.relation_dom @t201))) % 40.55/40.76 (define @t203 () (tptp.set_difference @t2 @t17)) % 40.55/40.76 (define @t204 () (= @t31 @t46)) % 40.55/40.76 (define @t205 () (forall @t6 (=> @t34 @t204))) % 40.55/40.76 (define @t206 () (= @t1 @t17)) % 40.55/40.76 (define @t207 () (tptp.relation_rng @t64)) % 40.55/40.76 (define @t208 () (tptp.relation_rng @t2)) % 40.55/40.76 (define @t209 () (tptp.cartesian_product2 @t1 @t17)) % 40.55/40.76 (define @t210 () (forall @t65 (not (and @t118 (not (tptp.are_equipotent @t17 @t2)) @t113)))) % 40.55/40.76 (define @t211 () (tptp.powerset @t17)) % 40.55/40.76 (define @t212 () (forall @t41 (=> (and @t83 (tptp.subset @t36 @t17)) @t51))) % 40.55/40.76 (define @t213 () (tptp.relation_dom_restriction @t17 @t2)) % 40.55/40.76 (define @t214 () (tptp.relation_image @t2 @t1)) % 40.55/40.76 (define @t215 () (tptp.relation_inverse_image @t2 @t1)) % 40.55/40.76 (define @t216 () (tptp.relation_image @t2 @t215)) % 40.55/40.76 (define @t217 () (tptp.set_intersection2 @t187 @t1)) % 40.55/40.76 (define @t218 () (tptp.subset @t1 @t208)) % 40.55/40.76 (define @t219 () (tptp.relation_of2_as_subset @t36 @t17 @t2)) % 40.55/40.76 (define @t220 () (tptp.relation_of2_as_subset @t36 @t17 @t1)) % 40.55/40.76 (define @t221 () (tptp.relation_rng @t149)) % 40.55/40.76 (define @t222 () (tptp.relation_inverse_image @t17 @t2)) % 40.55/40.76 (define @t223 () (tptp.relation_restriction @t17 @t2)) % 40.55/40.76 (define @t224 () (tptp.relation_restriction @t2 @t1)) % 40.55/40.76 (define @t225 () (tptp.relation_dom_restriction @t2 @t1)) % 40.55/40.76 (define @t226 () (tptp.relation_field @t17)) % 40.55/40.76 (define @t227 () (tptp.in @t1 @t226)) % 40.55/40.76 (define @t228 () (tptp.set_intersection2 @t2 @t17)) % 40.55/40.76 (define @t229 () (tptp.subset @t1 @t17)) % 40.55/40.76 (define @t230 () (tptp.element @t1 @t2)) % 40.55/40.76 (define @t231 () (tptp.in @t1 @t145)) % 40.55/40.76 (define @t232 () (tptp.in @t136 @t17)) % 40.55/40.76 (define @t233 () (tptp.relation_field @t224)) % 40.55/40.76 (define @t234 () (tptp.apply @t17 @t1)) % 40.55/40.76 (define @t235 () (tptp.relation_composition @t17 @t2)) % 40.55/40.76 (define @t236 () (tptp.in @t1 (tptp.relation_dom @t235))) % 40.55/40.76 (define @t237 () (tptp.reflexive @t2)) % 40.55/40.76 (define @t238 () (=> @t5 @t15)) % 40.55/40.76 (define @t239 () (forall @t6 (=> @t33 @t238))) % 40.55/40.76 (define @t240 () (tptp.connected @t2)) % 40.55/40.76 (define @t241 () (tptp.transitive @t2)) % 40.55/40.76 (define @t242 () (tptp.antisymmetric @t2)) % 40.55/40.76 (define @t243 () (tptp.well_founded_relation @t2)) % 40.55/40.76 (define @t244 () (tptp.well_ordering @t2)) % 40.55/40.76 (define @t245 () (tptp.apply @t2 @t17)) % 40.55/40.76 (define @t246 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 40.55/40.76 (define @t247 () (and @t38 @t83)) % 40.55/40.76 (define @t248 () (not @t148)) % 40.55/40.76 (define @t249 () (tptp.succ @t2)) % 40.55/40.76 (define @t250 () (= @t1 @t249)) % 40.55/40.76 (define @t251 () (tptp.subset_complement @t1 @t17)) % 40.55/40.76 (define @t252 () (tptp.disjoint @t2 @t17)) % 40.55/40.76 (define @t253 () (tptp.relation_dom @t149)) % 40.55/40.76 (define @t254 () (tptp.element @t2 @t211)) % 40.55/40.76 (define @t255 () (tptp.connected @t99)) % 40.55/40.76 (define @t256 () (forall @t11 (=> @t15 @t255))) % 40.55/40.76 (define @t257 () (not @t256)) % 40.55/40.76 (define @t258 () (tptp.in @t17 @t29)) % 40.55/40.76 (define @t259 () (and (tptp.in @t17 @t132) (= @t36 @t245))) % 40.55/40.76 (define @t260 () (tptp.function_inverse @t2)) % 40.55/40.76 (define @t261 () (= @t132 tptp.empty_set)) % 40.55/40.76 (define @t262 () (= @t57 tptp.empty_set)) % 40.55/40.76 (define @t263 () (= (tptp.apply @t201 @t2) (tptp.apply @t17 @t2))) % 40.55/40.76 (define @t264 () (= @t81 (tptp.unordered_pair @t2 @t17))) % 40.55/40.76 (define @t265 () (not @t33)) % 40.55/40.76 (define @t266 () (not @t15)) % 40.55/40.76 (define @t267 () (or @t266 @t265 @t31 @t30)) % 40.55/40.76 (define @t268 () (or @t266 @t265)) % 40.55/40.76 (define @t269 () (not @t34)) % 40.55/40.76 (define @t270 () (or @t266 @t265 @t204)) % 40.55/40.76 (define @t271 () (@quantifiers_skolemize (forall @t11 (or @t266 @t255)) 0)) % 40.55/40.76 (define @t272 () (tptp.inclusion_relation @t271)) % 40.55/40.76 (define @t273 () (tptp.relation_field @t272)) % 40.55/40.76 (define @t274 () (forall @t55 (or (not (tptp.in @t2 @t273)) (not (tptp.in @t17 @t273)) @t76 (tptp.in @t79 @t272) (tptp.in @t188 @t272)))) % 40.55/40.76 (define @t275 () (@quantifiers_skolemize @t274 0)) % 40.55/40.76 (define @t276 () (@quantifiers_skolemize @t274 1)) % 40.55/40.76 (define @t277 () (tptp.ordinal_subset @t276 @t275)) % 40.55/40.76 (define @t278 () (tptp.subset @t276 @t275)) % 40.55/40.76 (define @t279 () (tptp.ordinal @t275)) % 40.55/40.76 (define @t280 () (not @t279)) % 40.55/40.76 (define @t281 () (tptp.ordinal @t276)) % 40.55/40.76 (define @t282 () (not @t281)) % 40.55/40.76 (define @t283 () (or @t282 @t280 (= @t277 @t278))) % 40.55/40.76 (define @t284 () (forall @t6 @t270)) % 40.55/40.76 (define @t285 () (@list @t276 @t275)) % 40.55/40.76 (define @t286 () (= @t278 @t277)) % 40.55/40.76 (define @t287 () (or @t282 @t280 @t286)) % 40.55/40.76 (define @t288 () (@list false)) % 40.55/40.76 (define @t289 () (@list @t284)) % 40.55/40.76 (define @t290 () (tptp.ordinal @t271)) % 40.55/40.76 (define @t291 () (tptp.connected @t272)) % 40.55/40.76 (define @t292 () (not @t290)) % 40.55/40.76 (define @t293 () (or @t292 @t291)) % 40.55/40.76 (define @t294 () (@list true)) % 40.55/40.76 (define @t295 () (@list @t293)) % 40.55/40.76 (define @t296 () (not @t90)) % 40.55/40.76 (define @t297 () (not @t38)) % 40.55/40.76 (define @t298 () (or @t297 @t296 @t94)) % 40.55/40.76 (define @t299 () (= @t100 (and (= @t1 @t97) (forall @t41 @t298)))) % 40.55/40.76 (define @t300 () (tptp.in @t39 @t272)) % 40.55/40.76 (define @t301 () (not (tptp.in @t36 @t271))) % 40.55/40.76 (define @t302 () (not (tptp.in @t17 @t271))) % 40.55/40.76 (define @t303 () (forall @t41 (or @t302 @t301 (= @t93 @t300)))) % 40.55/40.76 (define @t304 () (= @t271 @t273)) % 40.55/40.76 (define @t305 () (and @t304 @t303)) % 40.55/40.76 (define @t306 () (or @t302 @t301 (= @t300 @t93))) % 40.55/40.76 (define @t307 () (forall @t41 @t306)) % 40.55/40.76 (define @t308 () (and @t304 @t307)) % 40.55/40.76 (define @t309 () (= (= @t272 @t272) @t308)) % 40.55/40.76 (define @t310 () (tptp.relation @t272)) % 40.55/40.76 (define @t311 () (not @t310)) % 40.55/40.76 (define @t312 () (or @t311 @t309)) % 40.55/40.76 (define @t313 () (forall @t6 (or (not @t44) @t299))) % 40.55/40.76 (define @t314 () (or @t311 @t305)) % 40.55/40.76 (define @t315 () (@list false false)) % 40.55/40.76 (define @t316 () (not @t305)) % 40.55/40.76 (define @t317 () (@list @t305)) % 40.55/40.76 (define @t318 () (tptp.ordinal @t273)) % 40.55/40.76 (define @t319 () (not @t192)) % 40.55/40.76 (define @t320 () (not @t184)) % 40.55/40.76 (define @t321 () (= @t72 (forall @t55 (or @t320 @t319 @t76 @t123 @t189)))) % 40.55/40.76 (define @t322 () (not @t190)) % 40.55/40.76 (define @t323 () (not @t191)) % 40.55/40.76 (define @t324 () (not @t114)) % 40.55/40.76 (define @t325 () (or @t320 @t319 @t324 @t323 @t322)) % 40.55/40.76 (define @t326 () (= @t291 @t274)) % 40.55/40.76 (define @t327 () (or @t311 @t326)) % 40.55/40.76 (define @t328 () (not @t274)) % 40.55/40.76 (define @t329 () (@list true false)) % 40.55/40.76 (define @t330 () (tptp.in @t276 @t273)) % 40.55/40.76 (define @t331 () (tptp.in (tptp.ordered_pair @t276 @t275) @t272)) % 40.55/40.76 (define @t332 () (tptp.in (tptp.ordered_pair @t275 @t276) @t272)) % 40.55/40.76 (define @t333 () (not @t330)) % 40.55/40.76 (define @t334 () (tptp.in @t275 @t273)) % 40.55/40.76 (define @t335 () (not @t334)) % 40.55/40.76 (define @t336 () (or @t335 @t333 (= @t275 @t276) @t332 @t331)) % 40.55/40.76 (define @t337 () (@list @t336)) % 40.55/40.76 (define @t338 () (not @t318)) % 40.55/40.76 (define @t339 () (or @t338 @t333 @t281)) % 40.55/40.76 (define @t340 () (@list false false false)) % 40.55/40.76 (define @t341 () (or @t338 @t335 @t279)) % 40.55/40.76 (define @t342 () (tptp.in @t275 @t271)) % 40.55/40.76 (define @t343 () (not @t342)) % 40.55/40.76 (define @t344 () (tptp.in @t276 @t271)) % 40.55/40.76 (define @t345 () (not @t344)) % 40.55/40.76 (define @t346 () (or @t345 @t343 (= @t278 @t331))) % 40.55/40.76 (define @t347 () (= @t331 @t278)) % 40.55/40.76 (define @t348 () (or @t345 @t343 @t347)) % 40.55/40.76 (define @t349 () (@list @t303)) % 40.55/40.76 (define @t350 () (not @t278)) % 40.55/40.76 (define @t351 () (not @t277)) % 40.55/40.76 (define @t352 () (tptp.ordinal_subset @t275 @t276)) % 40.55/40.76 (define @t353 () (tptp.subset @t275 @t276)) % 40.55/40.76 (define @t354 () (or @t280 @t282 (= @t352 @t353))) % 40.55/40.76 (define @t355 () (@list @t275 @t276)) % 40.55/40.76 (define @t356 () (= @t353 @t352)) % 40.55/40.76 (define @t357 () (or @t280 @t282 @t356)) % 40.55/40.76 (define @t358 () (or @t343 @t345 (= @t353 @t332))) % 40.55/40.76 (define @t359 () (= @t332 @t353)) % 40.55/40.76 (define @t360 () (or @t343 @t345 @t359)) % 40.55/40.76 (define @t361 () (not @t353)) % 40.55/40.76 (define @t362 () (not @t352)) % 40.55/40.76 (define @t363 () (or @t280 @t282 @t352 @t277)) % 40.55/40.76 (define @t364 () (not @t363)) % 40.55/40.76 (define @t365 () (forall @t6 @t267)) % 40.55/40.76 (assume @p1 (forall @t6 (=> @t5 @t4))) % 40.55/40.76 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 40.55/40.76 (assume @p3 (forall @t11 (=> @t10 @t9))) % 40.55/40.76 (assume @p4 (forall @t11 (=> @t15 @t14))) % 40.55/40.76 (assume @p5 (forall @t11 (=> @t10 @t16))) % 40.55/40.76 (assume @p6 (forall @t21 (=> @t20 @t18))) % 40.55/40.76 (assume @p7 (forall @t11 (=> @t24 @t23))) % 40.55/40.76 (assume @p8 (forall @t11 (=> @t14 @t15))) % 40.55/40.76 (assume @p9 (forall @t11 (=> @t10 @t25))) % 40.55/40.76 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 40.55/40.76 (assume @p11 (forall @t6 (= @t28 @t27))) % 40.55/40.76 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 40.55/40.76 (assume @p13 @t35) % 40.55/40.76 (assume @p14 (forall @t6 (=> @t44 (= @t43 (forall @t41 (= @t40 (and @t38 @t37))))))) % 40.55/40.76 (assume @p15 (forall @t6 (= @t47 (and @t46 @t45)))) % 40.55/40.76 (assume @p16 (forall @t11 (=> @t16 (forall @t55 (=> @t18 (= (= @t17 @t54) (forall @t53 (= @t52 (and @t51 @t50))))))))) % 40.55/40.76 (assume @p17 (forall @t11 (=> @t62 (forall @t55 (= @t61 (forall @t60 (= @t59 (exists @t58 (and (tptp.in @t48 @t57) @t56 (= @t36 (tptp.apply @t1 @t48))))))))))) % 40.55/40.76 (assume @p18 (forall @t6 (=> @t44 (forall @t65 (=> @t18 (= (= @t17 @t64) (forall @t53 (= @t52 (and @t63 (tptp.in @t49 @t2)))))))))) % 40.55/40.76 (assume @p19 (forall @t11 (=> @t16 (= @t67 (tptp.is_antisymmetric_in @t1 @t66))))) % 40.55/40.76 (assume @p20 (forall @t11 (=> @t62 (forall @t55 (= @t70 (forall @t60 (= @t59 (and @t69 (tptp.in @t68 @t2))))))))) % 40.55/40.76 (assume @p21 (forall @t11 (=> @t16 (forall @t55 (= @t61 (forall @t60 (= @t59 (exists @t58 (and (tptp.in @t71 @t1) @t56))))))))) % 40.55/40.76 (assume @p22 (forall @t11 (=> @t16 (forall @t55 (= @t70 (forall @t60 (= @t59 (exists @t58 (and @t50 @t56))))))))) % 40.55/40.76 (assume @p23 (forall @t11 (=> @t16 (= @t72 (tptp.is_connected_in @t1 @t66))))) % 40.55/40.76 (assume @p24 (forall @t11 (=> @t16 (= @t73 (tptp.is_transitive_in @t1 @t66))))) % 40.55/40.76 (assume @p25 (forall @t75 (= (= @t36 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t58 (= @t74 (not (and (not (= @t48 @t1)) (not (= @t48 @t2)) (not (= @t48 @t17))))))))) % 40.55/40.76 (assume @p26 (forall @t11 (=> @t80 (forall @t78 (= (= @t2 (tptp.pair_first @t1)) (forall @t41 (=> @t77 @t76))))))) % 40.55/40.76 (assume @p27 (forall @t11 (= @t82 (tptp.set_union2 @t1 @t81)))) % 40.55/40.76 (assume @p28 (forall @t11 (= @t16 (forall @t78 (not (and @t3 (forall @t41 (not (= @t2 @t39))))))))) % 40.55/40.76 (assume @p29 (forall @t11 (=> @t16 (forall @t78 (= @t84 (forall @t65 (=> @t83 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 40.55/40.76 (assume @p30 (forall @t21 (= @t85 (tptp.subset @t17 @t19)))) % 40.55/40.76 (assume @p31 (forall @t6 (and (=> @t91 (= @t87 (forall @t65 (= @t83 (forall @t60 (=> @t90 @t89)))))) (=> @t88 (= @t87 @t86))))) % 40.55/40.76 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t65 (= @t83 (= @t17 @t1)))))) % 40.55/40.76 (assume @p33 (forall @t11 (=> @t16 (forall @t55 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t60 (= @t59 (and (not @t92) (tptp.in (tptp.ordered_pair @t36 @t2) @t1))))))))) % 40.55/40.76 (assume @p34 @t103) % 40.55/40.76 (assume @p35 (forall @t11 (= @t88 (forall @t78 @t4)))) % 40.55/40.76 (assume @p36 (forall @t6 (= (= @t2 @t104) (forall @t65 (= @t83 (tptp.subset @t17 @t1)))))) % 40.55/40.76 (assume @p37 (forall @t11 (=> @t80 (forall @t78 (= (= @t2 (tptp.pair_second @t1)) (forall @t41 (=> @t77 @t105))))))) % 40.55/40.76 (assume @p38 (forall @t11 (= @t13 (forall @t78 (=> @t3 @t45))))) % 40.55/40.76 (assume @p39 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (= @t47 (forall @t41 (= @t106 @t40)))))))) % 40.55/40.76 (assume @p40 (forall @t6 (and (=> @t109 (= @t108 @t3)) (=> @t10 (= @t108 @t107))))) % 40.55/40.76 (assume @p41 (forall @t21 (= (= @t17 @t26) (forall @t60 (= @t59 (or (= @t36 @t1) @t92)))))) % 40.55/40.76 (assume @p42 (forall @t11 (=> @t16 (= @t111 (forall @t78 (not (and (tptp.subset @t2 @t66) @t110 (forall @t65 (not (and @t83 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 40.55/40.76 (assume @p43 (forall @t21 (= (= @t17 @t28) (forall @t60 (= @t59 (or @t90 @t51)))))) % 40.55/40.76 (assume @p44 (forall @t21 (= (= @t17 @t19) (forall @t60 (= @t59 (exists (@list @t48 @t112) (and @t63 (tptp.in @t112 @t2) (= @t36 (tptp.ordered_pair @t48 @t112))))))))) % 40.55/40.76 (assume @p45 (forall @t11 (= @t12 (forall @t55 (not (and @t3 @t38 (not @t115) @t114 @t113)))))) % 40.55/40.76 (assume @p46 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (= @t46 (forall @t41 (=> @t106 @t40)))))))) % 40.55/40.76 (assume @p47 (forall @t6 (= @t46 @t116))) % 40.55/40.76 (assume @p48 (forall @t11 (=> @t16 (forall @t78 (= @t119 (forall @t65 (not (and @t118 (not @t117) (forall @t60 (not (and @t59 (tptp.disjoint (tptp.fiber @t1 @t36) @t17)))))))))))) % 40.55/40.76 (assume @p49 (forall @t21 (= (= @t17 @t29) (forall @t60 (= @t59 (and @t90 @t51)))))) % 40.55/40.76 (assume @p50 (forall @t11 (=> @t62 (forall @t55 (and (=> @t122 (= @t121 @t123)) (=> (not @t122) (= @t121 @t117))))))) % 40.55/40.76 (assume @p51 (forall @t11 (= @t15 @t14))) % 40.55/40.76 (assume @p52 (forall @t11 (=> @t16 (forall @t78 (= (= @t2 @t57) (forall @t65 (= @t83 (exists @t60 @t106)))))))) % 40.55/40.76 (assume @p53 (forall @t11 (=> @t16 (forall @t78 (= @t125 (forall @t41 (=> (and @t83 @t51 @t106 @t124) @t37))))))) % 40.55/40.76 (assume @p54 (forall @t11 (= @t126 @t1))) % 40.55/40.76 (assume @p55 (forall @t6 (= (= @t2 @t127) (forall @t65 (= @t83 (exists @t60 (and @t89 @t90))))))) % 40.55/40.76 (assume @p56 (forall @t11 (=> @t16 (= @t129 (and @t128 @t73 @t67 @t72 @t111))))) % 40.55/40.76 (assume @p57 (forall @t21 (= (= @t17 @t130) (forall @t60 (= @t59 (and @t90 (not @t51))))))) % 40.55/40.76 (assume @p58 (forall @t11 (=> @t62 (forall @t78 (= @t133 (forall @t65 (= @t83 (exists @t60 @t131)))))))) % 40.55/40.76 (assume @p59 (forall @t11 (=> @t16 (forall @t78 (= @t133 (forall @t65 (= @t83 (exists @t60 @t124)))))))) % 40.55/40.76 (assume @p60 (forall @t6 (=> @t135 (= @t134 @t130)))) % 40.55/40.76 (assume @p61 (forall @t6 (= @t136 (tptp.unordered_pair @t26 @t81)))) % 40.55/40.76 (assume @p62 (forall @t11 (=> @t16 (forall @t78 (= (tptp.well_orders @t1 @t2) (and @t84 @t138 @t125 @t137 @t119)))))) % 40.55/40.76 (assume @p63 (forall @t11 (= @t139 (= @t1 @t127)))) % 40.55/40.76 (assume @p64 (forall @t11 (=> @t16 (= @t66 (tptp.set_union2 @t57 @t132))))) % 40.55/40.76 (assume @p65 (forall @t11 (=> @t16 (forall @t78 (= @t137 (forall @t41 (not (and @t83 @t51 (not @t37) (not @t106) (not @t124))))))))) % 40.55/40.76 (assume @p66 (forall @t11 (=> @t16 (forall @t78 (= @t141 (tptp.set_intersection2 @t1 @t140)))))) % 40.55/40.76 (assume @p67 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (= (= @t2 @t142) (forall @t41 (= @t40 @t124)))))))) % 40.55/40.76 (assume @p68 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (forall @t65 (=> @t147 (= @t146 (and (= @t145 @t66) (= @t144 @t97) (tptp.one_to_one @t17) (forall @t53 (= @t50 (and (tptp.in @t36 @t66) (tptp.in @t48 @t66) (tptp.in (tptp.ordered_pair @t143 (tptp.apply @t17 @t48)) @t2))))))))))))) % 40.55/40.76 (assume @p69 (forall @t6 (= @t148 (= @t29 tptp.empty_set)))) % 40.55/40.76 (assume @p70 (forall @t11 (=> @t62 (= @t22 (forall @t55 (=> (and @t122 (tptp.in @t17 @t57) (= @t120 (tptp.apply @t1 @t17))) @t76)))))) % 40.55/40.76 (assume @p71 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (forall @t65 (=> @t18 (= (= @t17 @t149) (forall @t53 (= @t52 (exists (@list @t112) (and (tptp.in (tptp.ordered_pair @t36 @t112) @t1) (tptp.in (tptp.ordered_pair @t112 @t48) @t2))))))))))))) % 40.55/40.76 (assume @p72 (forall @t11 (=> @t16 (forall @t78 (= @t138 (forall (@list @t17 @t36 @t48) (=> (and @t83 @t51 @t56 @t106 @t50) (tptp.in (tptp.ordered_pair @t17 @t48) @t1)))))))) % 40.55/40.76 (assume @p73 (forall @t6 (=> @t152 (forall @t65 (=> (tptp.element @t17 @t151) (= (= @t17 @t150) (forall @t60 (=> (tptp.element @t36 @t104) (= @t59 (tptp.in (tptp.subset_complement @t1 @t36) @t2)))))))))) % 40.55/40.76 (assume @p74 (forall @t6 (= @t8 (and @t46 @t153)))) % 40.55/40.76 (assume @p75 (forall @t11 (=> @t62 (=> @t22 (= @t154 @t142))))) % 40.55/40.76 (assume @p76 (forall @t11 (=> @t16 (= @t128 (tptp.is_reflexive_in @t1 @t66))))) % 40.55/40.76 (assume @p77 true) % 40.55/40.76 (assume @p78 (forall @t11 (tptp.relation @t99))) % 40.55/40.76 (assume @p79 (forall @t11 (=> @t62 (and (tptp.relation @t154) (tptp.function @t154))))) % 40.55/40.76 (assume @p80 (forall @t11 (tptp.element @t126 @t104))) % 40.55/40.76 (assume @p81 (forall @t6 (=> @t16 (tptp.relation @t141)))) % 40.55/40.76 (assume @p82 (forall @t6 (=> @t135 (tptp.element @t134 @t104)))) % 40.55/40.76 (assume @p83 (forall @t11 (=> @t16 @t155))) % 40.55/40.76 (assume @p84 (forall @t21 (=> @t85 (tptp.element @t156 @t104)))) % 40.55/40.76 (assume @p85 (forall @t6 (=> @t158 @t157))) % 40.55/40.76 (assume @p86 (forall @t21 (=> @t85 (tptp.element @t160 @t159)))) % 40.55/40.76 (assume @p87 (forall @t6 (=> @t152 (tptp.element @t161 @t104)))) % 40.55/40.76 (assume @p88 (forall @t11 @t162)) % 40.55/40.76 (assume @p89 (forall @t6 (=> @t152 (tptp.element @t163 @t104)))) % 40.55/40.76 (assume @p90 (forall @t21 (=> @t166 (tptp.element @t164 @t104)))) % 40.55/40.76 (assume @p91 (forall @t6 (=> @t16 @t167))) % 40.55/40.76 (assume @p92 (forall @t6 (=> @t152 (tptp.element @t150 @t151)))) % 40.55/40.76 (assume @p93 (forall @t6 (=> @t44 @t168))) % 40.55/40.76 (assume @p94 (forall @t21 (=> @t169 @t20))) % 40.55/40.76 (assume @p95 (forall @t6 (exists @t65 @t85))) % 40.55/40.76 (assume @p96 (forall @t11 (exists @t78 @t108))) % 40.55/40.76 (assume @p97 (forall @t6 (exists @t65 @t169))) % 40.55/40.76 (assume @p98 (forall @t6 (=> @t171 (and (tptp.empty @t170) (tptp.relation @t170))))) % 40.55/40.76 (assume @p99 (forall @t11 (=> @t10 (and (tptp.empty @t142) @t155)))) % 40.55/40.76 (assume @p100 (and @t174 @t173 @t172)) % 40.55/40.76 (assume @p101 (forall @t6 (=> @t176 (and @t167 (tptp.relation_empty_yielding @t54))))) % 40.55/40.76 (assume @p102 (forall @t6 (=> (and @t16 @t9 @t44 @t177) (and @t157 (tptp.function @t149))))) % 40.55/40.76 (assume @p103 (forall @t11 @t178)) % 40.55/40.76 (assume @p104 (forall @t6 (=> @t158 (tptp.relation @t29)))) % 40.55/40.76 (assume @p105 (forall @t11 (not (tptp.empty @t104)))) % 40.55/40.76 (assume @p106 @t174) % 40.55/40.76 (assume @p107 (forall @t6 (not (tptp.empty @t136)))) % 40.55/40.76 (assume @p108 (forall @t11 (and @t162 (tptp.function @t42)))) % 40.55/40.76 (assume @p109 (and @t173 @t172 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t174 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 40.55/40.76 (assume @p110 (forall @t6 (=> @t158 (tptp.relation @t28)))) % 40.55/40.76 (assume @p111 (forall @t11 (not (tptp.empty @t81)))) % 40.55/40.76 (assume @p112 (forall @t6 (=> @t109 (not (tptp.empty @t28))))) % 40.55/40.76 (assume @p113 (forall @t11 (=> @t23 (and @t155 (tptp.function @t142))))) % 40.55/40.76 (assume @p114 (forall @t11 (=> @t15 (and @t178 (tptp.epsilon_transitive @t82) (tptp.epsilon_connected @t82) (tptp.ordinal @t82))))) % 40.55/40.76 (assume @p115 (forall @t6 (=> @t158 (tptp.relation @t130)))) % 40.55/40.76 (assume @p116 (forall @t6 (not (tptp.empty @t26)))) % 40.55/40.76 (assume @p117 (forall @t6 (=> @t109 (not (tptp.empty @t27))))) % 40.55/40.76 (assume @p118 (forall @t6 (=> @t62 (and @t167 (tptp.function @t54))))) % 40.55/40.76 (assume @p119 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t127) (tptp.epsilon_connected @t127) (tptp.ordinal @t127))))) % 40.55/40.76 (assume @p120 (and @t174 @t173)) % 40.55/40.76 (assume @p121 (forall @t6 (=> (and @t109 @t179) (not (tptp.empty @t19))))) % 40.55/40.76 (assume @p122 (forall @t6 (=> @t180 (and @t168 (tptp.function @t64))))) % 40.55/40.76 (assume @p123 (forall @t11 (=> @t182 (not @t181)))) % 40.55/40.76 (assume @p124 (forall @t11 (=> @t182 (not @t183)))) % 40.55/40.76 (assume @p125 (forall @t11 (=> @t10 (and @t181 (tptp.relation @t57))))) % 40.55/40.76 (assume @p126 (forall @t11 (=> @t10 (and @t183 (tptp.relation @t132))))) % 40.55/40.76 (assume @p127 (forall @t6 (=> @t171 (and (tptp.empty @t149) @t157)))) % 40.55/40.76 (assume @p128 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 40.55/40.76 (assume @p129 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 40.55/40.76 (assume @p130 (forall @t6 (=> @t135 (= (tptp.subset_complement @t1 @t134) @t2)))) % 40.55/40.76 (assume @p131 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t142) @t1)))) % 40.55/40.76 (assume @p132 (forall @t6 (=> @t152 (= (tptp.complements_of_subsets @t1 @t150) @t2)))) % 40.55/40.76 (assume @p133 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 40.55/40.76 (assume @p134 (forall @t11 (=> @t16 (= @t128 (forall @t78 (=> @t184 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 40.55/40.76 (assume @p135 (forall @t11 (not (= @t81 tptp.empty_set)))) % 40.55/40.76 (assume @p136 (forall @t6 (=> @t5 (= (tptp.set_union2 @t81 @t2) @t2)))) % 40.55/40.76 (assume @p137 (forall @t6 (not (and @t185 @t5)))) % 40.55/40.76 (assume @p138 (forall @t6 (=> @t186 @t185))) % 40.55/40.76 (assume @p139 (forall @t6 (=> @t44 (tptp.subset (tptp.relation_dom @t64) @t187)))) % 40.55/40.76 (assume @p140 (forall @t11 (=> @t16 (= @t73 (forall (@list @t2 @t17 @t36) (=> (and @t123 @t106) (tptp.in (tptp.ordered_pair @t2 @t36) @t1))))))) % 40.55/40.76 (assume @p141 (forall @t6 (= (tptp.subset @t81 @t2) @t5))) % 40.55/40.76 (assume @p142 (forall @t6 (= (= @t130 tptp.empty_set) @t46))) % 40.55/40.76 (assume @p143 (forall @t6 (=> @t135 (forall @t65 (=> @t83 @t38))))) % 40.55/40.76 (assume @p144 (forall @t11 (=> @t16 (= @t67 (forall @t55 (=> (and @t123 @t189) @t76)))))) % 40.55/40.76 (assume @p145 (forall @t21 (=> @t46 (or @t38 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 40.55/40.76 (assume @p146 @t196) % 40.55/40.76 (assume @p147 (forall @t6 (= (tptp.subset @t1 @t197) (or @t88 (= @t1 @t197))))) % 40.55/40.76 (assume @p148 (forall @t6 (=> @t5 (tptp.subset @t1 @t198)))) % 40.55/40.76 (assume @p149 (forall @t75 (= (tptp.in @t136 (tptp.cartesian_product2 @t17 @t36)) (and @t199 (tptp.in @t2 @t36))))) % 40.55/40.76 (assume @p150 (forall @t6 (=> @t116 @t200))) % 40.55/40.76 (assume @p151 (forall @t21 (=> @t147 (= @t202 (and (tptp.in @t2 @t145) @t3))))) % 40.55/40.76 (assume @p152 (exists @t11 @t62)) % 40.55/40.76 (assume @p153 (exists @t11 @t25)) % 40.55/40.76 (assume @p154 (exists @t11 (and @t10 @t16))) % 40.55/40.76 (assume @p155 (forall @t11 (=> @t109 (exists @t78 (and @t135 @t179))))) % 40.55/40.76 (assume @p156 (exists @t11 @t10)) % 40.55/40.76 (assume @p157 (exists @t11 @t24)) % 40.55/40.76 (assume @p158 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 40.55/40.76 (assume @p159 (exists @t11 @t182)) % 40.55/40.76 (assume @p160 (forall @t11 (exists @t78 (and @t135 @t107)))) % 40.55/40.76 (assume @p161 (exists @t11 @t109)) % 40.55/40.76 (assume @p162 (exists @t11 @t23)) % 40.55/40.76 (assume @p163 (exists @t11 (and @t109 @t13 @t12 @t15))) % 40.55/40.76 (assume @p164 (exists @t11 @t176)) % 40.55/40.76 (assume @p165 (exists @t11 (and @t16 @t175 @t9))) % 40.55/40.76 (assume @p166 (forall @t21 (=> @t85 (= @t156 @t145)))) % 40.55/40.76 (assume @p167 (forall @t21 (=> @t85 (= @t160 @t144)))) % 40.55/40.76 (assume @p168 (forall @t6 (=> @t152 (= @t161 @t198)))) % 40.55/40.76 (assume @p169 (forall @t6 (=> @t152 (= @t163 (tptp.set_meet @t2))))) % 40.55/40.76 (assume @p170 (forall @t21 (=> @t166 (= @t164 @t203)))) % 40.55/40.76 (assume @p171 (forall @t21 (= @t169 @t85))) % 40.55/40.76 (assume @p172 @t205) % 40.55/40.76 (assume @p173 (forall @t6 (=> @t34 (tptp.ordinal_subset @t1 @t1)))) % 40.55/40.76 (assume @p174 (forall @t6 (tptp.subset @t1 @t1))) % 40.55/40.76 (assume @p175 (forall @t6 (=> @t148 (tptp.disjoint @t2 @t1)))) % 40.55/40.76 (assume @p176 (forall @t11 (tptp.in @t1 @t82))) % 40.55/40.76 (assume @p177 (forall @t75 (not (and (= @t26 (tptp.unordered_pair @t17 @t36)) (not @t206) (not (= @t1 @t36)))))) % 40.55/40.76 (assume @p178 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t144)))))) % 40.55/40.76 (assume @p179 (forall @t6 (=> @t44 (tptp.subset @t207 @t1)))) % 40.55/40.76 (assume @p180 (forall @t6 (=> @t44 (tptp.subset @t64 @t2)))) % 40.55/40.76 (assume @p181 (forall @t6 (=> @t44 (tptp.subset @t207 @t208)))) % 40.55/40.76 (assume @p182 (forall @t21 (=> @t46 (and (tptp.subset @t209 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 40.55/40.76 (assume @p183 (forall @t6 (=> @t44 (= @t207 (tptp.set_intersection2 @t208 @t1))))) % 40.55/40.76 (assume @p184 (forall @t75 (=> (and @t46 @t93) (tptp.subset @t209 (tptp.cartesian_product2 @t2 @t36))))) % 40.55/40.76 (assume @p185 (forall @t21 (=> @t169 (and (tptp.subset @t145 @t1) (tptp.subset @t144 @t2))))) % 40.55/40.76 (assume @p186 (forall @t6 (=> @t46 (= @t28 @t2)))) % 40.55/40.76 (assume @p187 (forall @t11 (exists @t78 (and @t5 @t212 (forall @t65 (=> @t83 (tptp.in @t211 @t2))) @t210)))) % 40.55/40.76 (assume @p188 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t213))))) % 40.55/40.76 (assume @p189 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t60 (and (tptp.in @t36 @t145) (tptp.in (tptp.ordered_pair @t36 @t1) @t17) @t51)))))) % 40.55/40.76 (assume @p190 (forall @t6 (=> @t44 (tptp.subset @t214 @t208)))) % 40.55/40.76 (assume @p191 (forall @t6 (=> @t180 (tptp.subset @t216 @t1)))) % 40.55/40.76 (assume @p192 (forall @t6 (=> @t44 (= @t214 (tptp.relation_image @t2 @t217))))) % 40.55/40.76 (assume @p193 (forall @t6 (=> @t44 (=> (tptp.subset @t1 @t187) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t214)))))) % 40.55/40.76 (assume @p194 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t57) @t132)))) % 40.55/40.76 (assume @p195 (forall @t6 (=> @t180 (=> @t218 (= @t216 @t1))))) % 40.55/40.76 (assume @p196 (forall @t75 (=> @t220 (=> (tptp.subset (tptp.relation_rng @t36) @t2) @t219)))) % 40.55/40.76 (assume @p197 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (= @t221 (tptp.relation_image @t2 @t132))))))) % 40.55/40.76 (assume @p198 (forall @t21 (=> @t18 (= (tptp.in @t1 @t222) (exists @t60 (and (tptp.in @t36 @t144) (tptp.in (tptp.ordered_pair @t1 @t36) @t17) @t51)))))) % 40.55/40.76 (assume @p199 (forall @t6 (=> @t44 (tptp.subset @t215 @t187)))) % 40.55/40.76 (assume @p200 (forall @t75 (=> @t220 (=> @t46 @t219)))) % 40.55/40.76 (assume @p201 (forall @t21 (=> @t18 (= (tptp.in @t1 @t223) (and @t199 (tptp.in @t1 @t140)))))) % 40.55/40.76 (assume @p202 (forall @t6 (=> @t44 (not (and @t91 @t218 (= @t215 tptp.empty_set)))))) % 40.55/40.76 (assume @p203 (forall @t21 (=> @t18 (=> @t46 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t222))))) % 40.55/40.76 (assume @p204 (forall @t6 (=> @t44 (= @t224 (tptp.relation_dom_restriction @t64 @t1))))) % 40.55/40.76 (assume @p205 (forall @t6 (tptp.subset @t29 @t1))) % 40.55/40.76 (assume @p206 (forall @t6 (=> @t44 (= @t224 (tptp.relation_rng_restriction @t1 @t225))))) % 40.55/40.76 (assume @p207 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t223)) (and @t227 @t5))))) % 40.55/40.76 (assume @p208 (forall @t21 (=> (and @t46 @t229) (tptp.subset @t1 @t228)))) % 40.55/40.76 (assume @p209 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 40.55/40.76 (assume @p210 (forall @t6 (=> @t5 @t230))) % 40.55/40.76 (assume @p211 (forall @t21 (=> (and @t46 (tptp.subset @t2 @t17)) @t229))) % 40.55/40.76 (assume @p212 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 40.55/40.76 (assume @p213 (forall @t21 (=> @t18 (=> @t232 (and @t231 (tptp.in @t2 @t144)))))) % 40.55/40.76 (assume @p214 (forall @t6 (=> @t44 (and (tptp.subset @t233 @t97) (tptp.subset @t233 @t1))))) % 40.55/40.76 (assume @p215 (forall @t6 (=> @t180 (forall @t65 (=> @t147 (= @t236 (and @t231 (tptp.in @t234 @t187)))))))) % 40.55/40.76 (assume @p216 (forall @t11 (=> @t13 (forall @t78 (=> @t33 (=> @t8 @t5)))))) % 40.55/40.76 (assume @p217 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t57 @t132))))) % 40.55/40.76 (assume @p218 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 40.55/40.76 (assume @p219 (forall @t6 (=> @t180 (forall @t65 (=> @t147 (=> @t236 (= (tptp.apply @t235 @t1) (tptp.apply @t2 @t234)))))))) % 40.55/40.76 (assume @p220 (forall @t21 (=> (tptp.relation_of2_as_subset @t17 @t2 @t1) (= (forall @t60 (not (and @t51 (forall @t58 (not @t52))))) (= (tptp.relation_dom_as_subset @t2 @t1 @t17) @t2))))) % 40.55/40.76 (assume @p221 (forall @t6 (=> @t44 (=> @t237 (tptp.reflexive @t224))))) % 40.55/40.76 (assume @p222 (forall @t6 (=> @t180 (forall @t65 (=> @t147 (=> (tptp.in @t1 @t187) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 40.55/40.76 (assume @p223 @t239) % 40.55/40.76 (assume @p224 (forall @t21 (=> @t169 (= (forall @t60 (not (and @t51 (forall @t58 (not (tptp.in @t71 @t17)))))) (= @t160 @t2))))) % 40.55/40.76 (assume @p225 (forall @t6 (=> @t44 (=> @t240 (tptp.connected @t224))))) % 40.55/40.76 (assume @p226 (forall @t11 (=> @t15 (forall @t78 (=> @t33 (not (and @t186 @t153 @t4))))))) % 40.55/40.76 (assume @p227 (forall @t6 (=> @t44 (=> @t241 (tptp.transitive @t224))))) % 40.55/40.76 (assume @p228 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (=> @t46 (and (tptp.subset @t57 @t187) (tptp.subset @t132 @t208)))))))) % 40.55/40.76 (assume @p229 (forall @t6 (=> @t44 (=> @t242 (tptp.antisymmetric @t224))))) % 40.55/40.76 (assume @p230 (forall @t21 (=> @t46 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t228)))) % 40.55/40.76 (assume @p231 (forall @t6 (=> @t46 (= @t29 @t1)))) % 40.55/40.76 (assume @p232 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 40.55/40.76 (assume @p233 (forall @t6 (=> @t230 (or @t107 @t5)))) % 40.55/40.76 (assume @p234 (forall @t6 (=> (forall @t65 (= @t38 @t83)) @t47))) % 40.55/40.76 (assume @p235 (forall @t11 (tptp.reflexive @t99))) % 40.55/40.76 (assume @p236 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 40.55/40.76 (assume @p237 (forall @t21 (=> @t18 (=> @t232 (and @t227 (tptp.in @t2 @t226)))))) % 40.55/40.76 (assume @p238 (forall @t11 (=> (forall @t78 (=> @t3 (and @t33 @t45))) @t15))) % 40.55/40.76 (assume @p239 (forall @t6 (=> @t44 (=> @t243 (tptp.well_founded_relation @t224))))) % 40.55/40.76 (assume @p240 (forall @t6 (=> @t33 (not (and @t46 @t91 (forall @t65 (=> (tptp.ordinal @t17) (not (and @t38 (forall @t60 (=> (tptp.ordinal @t36) (=> @t90 (tptp.ordinal_subset @t17 @t36))))))))))))) % 40.55/40.76 (assume @p241 (forall @t6 (=> @t44 (=> @t244 (tptp.well_ordering @t224))))) % 40.55/40.76 (assume @p242 (forall @t11 (=> @t15 (forall @t78 (=> @t33 (= @t5 (tptp.ordinal_subset @t82 @t2))))))) % 40.55/40.76 (assume @p243 (forall @t21 (=> @t46 (tptp.subset (tptp.set_difference @t1 @t17) @t203)))) % 40.55/40.76 (assume @p244 (forall @t75 (=> (= @t136 @t39) (and @t206 @t105)))) % 40.55/40.76 (assume @p245 (forall @t6 (=> @t180 (= @t43 (and (= @t187 @t1) (forall @t65 (=> @t38 (= @t245 @t17)))))))) % 40.55/40.76 (assume @p246 (forall @t6 (=> @t3 (= (tptp.apply @t42 @t2) @t2)))) % 40.55/40.76 (assume @p247 (forall @t6 (tptp.subset @t130 @t1))) % 40.55/40.76 (assume @p248 (forall @t11 (=> @t16 (and (= @t132 (tptp.relation_dom @t142)) (= @t57 (tptp.relation_rng @t142)))))) % 40.55/40.76 (assume @p249 (forall @t21 (= (tptp.subset @t26 @t17) (and @t199 @t115)))) % 40.55/40.76 (assume @p250 (forall @t6 (=> @t44 (=> (and @t244 (tptp.subset @t1 @t97)) (= @t233 @t1))))) % 40.55/40.76 (assume @p251 (forall @t6 (= @t246 @t28))) % 40.55/40.76 (assume @p252 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 40.55/40.76 (assume @p253 (forall @t21 (not (and @t5 @t115 @t38)))) % 40.55/40.76 (assume @p254 (forall @t6 (= @t200 @t46))) % 40.55/40.76 (assume @p255 (forall @t11 (tptp.transitive @t99))) % 40.55/40.76 (assume @p256 (forall @t6 (and (not (and @t248 (forall @t65 (not @t247)))) (not (and (exists @t65 @t247) @t148))))) % 40.55/40.76 (assume @p257 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t88))) % 40.55/40.76 (assume @p258 (forall @t6 (= (tptp.set_difference @t28 @t2) @t130))) % 40.55/40.76 (assume @p259 (forall @t11 (=> @t15 (= @t139 (forall @t78 (=> @t33 (=> @t3 (tptp.in @t249 @t1)))))))) % 40.55/40.76 (assume @p260 (forall @t11 (=> @t15 (and (not (and (not @t139) (forall @t78 (=> @t33 (not @t250))))) (not (and (exists @t78 (and @t33 @t250)) @t139)))))) % 40.55/40.76 (assume @p261 (forall @t6 (=> @t135 (forall @t65 (=> @t165 (= @t252 (tptp.subset @t2 @t251))))))) % 40.55/40.76 (assume @p262 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (tptp.subset @t253 @t57)))))) % 40.55/40.76 (assume @p263 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (tptp.subset @t221 @t208)))))) % 40.55/40.76 (assume @p264 (forall @t6 (=> @t46 (= @t2 @t246)))) % 40.55/40.76 (assume @p265 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (=> (tptp.subset @t132 @t187) (= @t253 @t57))))))) % 40.55/40.76 (assume @p266 (forall @t6 (=> @t152 (not (and @t110 (= @t150 tptp.empty_set)))))) % 40.55/40.76 (assume @p267 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (=> (tptp.subset @t57 @t208) (= (tptp.relation_rng @t170) @t132))))))) % 40.55/40.76 (assume @p268 (forall @t6 (=> @t152 (=> @t110 (= (tptp.subset_difference @t1 @t126 @t161) (tptp.meet_of_subsets @t1 @t150)))))) % 40.55/40.76 (assume @p269 (forall @t6 (=> @t152 (=> @t110 (= (tptp.union_of_subsets @t1 @t150) (tptp.subset_difference @t1 @t126 @t163)))))) % 40.55/40.76 (assume @p270 (forall @t6 (= (tptp.set_difference @t1 @t130) @t29))) % 40.55/40.76 (assume @p271 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (forall @t65 (=> @t147 (=> @t146 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 40.55/40.76 (assume @p272 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 40.55/40.76 (assume @p273 (forall @t21 (=> (and @t5 @t254) (tptp.element @t1 @t17)))) % 40.55/40.76 (assume @p274 @t257) % 40.55/40.76 (assume @p275 (forall @t6 (and (not (and @t248 (forall @t65 (not @t258)))) (not (and (exists @t65 @t258) @t148))))) % 40.55/40.76 (assume @p276 (forall @t11 (=> @t91 (forall @t78 (=> @t135 (forall @t65 (=> (tptp.element @t17 @t1) (=> @t113 (tptp.in @t17 @t134))))))))) % 40.55/40.76 (assume @p277 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (forall @t65 (=> @t147 (=> @t146 (and (=> @t128 @t237) (=> @t73 @t241) (=> @t72 @t240) (=> @t67 @t242) (=> @t111 @t243)))))))))) % 40.55/40.76 (assume @p278 (forall @t11 (=> @t62 (=> @t22 (forall @t78 (=> @t180 (= (= @t2 @t154) (and (= @t187 @t132) (forall @t41 (and (=> @t259 @t131) (=> @t131 @t259))))))))))) % 40.55/40.76 (assume @p279 (forall @t21 (=> @t165 (not (and (tptp.in @t2 @t251) @t115))))) % 40.55/40.76 (assume @p280 (forall @t11 (=> @t16 (forall @t78 (=> @t44 (forall @t65 (=> @t147 (=> (and @t129 @t146) @t244)))))))) % 40.55/40.76 (assume @p281 (forall @t11 (=> @t62 (=> @t22 (and (= @t132 (tptp.relation_dom @t154)) (= @t57 (tptp.relation_rng @t154))))))) % 40.55/40.76 (assume @p282 (forall @t11 (=> @t16 (=> (forall @t55 @t191) @t88)))) % 40.55/40.76 (assume @p283 (forall @t6 (=> @t180 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t208)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t260 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t260 @t2) @t1))))))) % 40.55/40.76 (assume @p284 (forall @t21 (not (and @t5 @t254 (tptp.empty @t17))))) % 40.55/40.76 (assume @p285 (forall @t11 (=> @t16 (= @t111 (tptp.is_well_founded_in @t1 @t66))))) % 40.55/40.76 (assume @p286 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 40.55/40.76 (assume @p287 (forall @t6 (not (and @t46 @t7)))) % 40.55/40.76 (assume @p288 (forall @t11 (=> @t62 (=> @t22 (tptp.one_to_one @t154))))) % 40.55/40.76 (assume @p289 (forall @t21 (=> (and @t46 @t252) (tptp.disjoint @t1 @t17)))) % 40.55/40.76 (assume @p290 (forall @t11 (=> @t16 (=> (or @t262 @t261) @t88)))) % 40.55/40.76 (assume @p291 (forall @t11 (=> @t16 (= @t262 @t261)))) % 40.55/40.76 (assume @p292 (forall @t6 (= (= (tptp.set_difference @t1 @t197) @t1) @t4))) % 40.55/40.76 (assume @p293 (forall @t6 (=> @t180 (forall @t65 (=> @t147 (= (= @t2 @t201) (and (= @t187 (tptp.set_intersection2 @t145 @t1)) (forall @t60 (=> (tptp.in @t36 @t187) (= (tptp.apply @t2 @t36) @t143)))))))))) % 40.55/40.76 (assume @p294 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t81))) % 40.55/40.76 (assume @p295 (forall @t11 (=> @t10 @t88))) % 40.55/40.76 (assume @p296 (forall @t6 (=> (tptp.subset @t81 @t197) @t47))) % 40.55/40.76 (assume @p297 (forall @t21 (=> @t147 (=> @t202 @t263)))) % 40.55/40.76 (assume @p298 (forall @t11 (and (= (tptp.relation_dom @t42) @t1) (= (tptp.relation_rng @t42) @t1)))) % 40.55/40.76 (assume @p299 (forall @t21 (=> @t147 (=> @t3 @t263)))) % 40.55/40.76 (assume @p300 (forall @t75 (=> (tptp.relation @t36) (= (tptp.in @t136 (tptp.relation_composition (tptp.identity_relation @t17) @t36)) (and @t199 (tptp.in @t136 @t36)))))) % 40.55/40.76 (assume @p301 (forall @t6 (not (and @t5 @t107)))) % 40.55/40.76 (assume @p302 (forall @t6 (and (= (tptp.pair_first @t136) @t1) (= (tptp.pair_second @t136) @t2)))) % 40.55/40.76 (assume @p303 (forall @t6 (not (and @t5 (forall @t65 (not (and @t83 (forall @t60 (not (and @t51 @t59)))))))))) % 40.55/40.76 (assume @p304 (forall @t6 (tptp.subset @t1 @t28))) % 40.55/40.76 (assume @p305 (forall @t6 (= @t148 (= @t130 @t1)))) % 40.55/40.76 (assume @p306 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t213)) (and @t5 @t231))))) % 40.55/40.76 (assume @p307 (forall @t6 (=> @t44 (tptp.subset @t225 @t2)))) % 40.55/40.76 (assume @p308 (forall @t6 (not (and @t10 @t153 @t107)))) % 40.55/40.76 (assume @p309 (forall @t21 (=> @t147 (= @t232 (and @t231 (= @t2 @t234)))))) % 40.55/40.76 (assume @p310 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t66) @t129)))) % 40.55/40.76 (assume @p311 (forall @t21 (=> (and @t46 @t118) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 40.55/40.76 (assume @p312 (forall @t21 (=> @t264 @t47))) % 40.55/40.76 (assume @p313 (forall @t6 (=> @t44 (= (tptp.relation_dom @t225) @t217)))) % 40.55/40.76 (assume @p314 (forall @t6 (=> @t44 (= @t225 (tptp.relation_composition @t42 @t2))))) % 40.55/40.76 (assume @p315 (forall @t6 (=> @t44 (tptp.subset (tptp.relation_rng @t225) @t208)))) % 40.55/40.76 (assume @p316 (forall @t11 (= (tptp.union @t104) @t1))) % 40.55/40.76 (assume @p317 (forall @t11 (exists @t78 (and @t5 @t212 (forall @t65 (not (and @t83 (forall @t60 (not (and @t51 (forall @t58 (=> (tptp.subset @t48 @t17) @t74)))))))) @t210)))) % 40.55/40.76 (assume @p318 (forall @t21 (=> @t264 @t76))) % 40.55/40.76 (step @p319 :rule aci_norm :args ((= (or @t268 @t32) @t267))) % 40.55/40.76 (step @p320 :rule refl :args (@t32)) % 40.55/40.76 (step @p321 :rule bool-and-de-morgan :args (@t15 @t33 true)) % 40.55/40.76 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t269 @t32))) % 40.55/40.76 (step @p323 :rule trans :premises (@p322 @p319)) % 40.55/40.76 (step @p324 :rule bool-impl-elim :args (@t34 @t32)) % 40.55/40.76 (step @p325 :rule trans :premises (@p324 @p323)) % 40.55/40.76 (step @p326 :rule cong :premises (@p325) :args (@t35)) % 40.55/40.76 (step @p327 :rule eq_resolve :premises (@p13 @p326)) % 40.55/40.76 (step @p328 :rule aci_norm :args ((= (or @t268 @t204) @t270))) % 40.55/40.76 (step @p329 :rule refl :args (@t204)) % 40.55/40.76 (step @p330 :rule nary_cong :premises (@p321 @p329) :args ((or @t269 @t204))) % 40.55/40.76 (step @p331 :rule trans :premises (@p330 @p328)) % 40.55/40.76 (step @p332 :rule bool-impl-elim :args (@t34 @t204)) % 40.55/40.76 (step @p333 :rule trans :premises (@p332 @p331)) % 40.55/40.76 (step @p334 :rule cong :premises (@p333) :args (@t205)) % 40.55/40.76 (step @p335 :rule eq_resolve :premises (@p172 @p334)) % 40.55/40.76 (step @p336 :rule eq-symm :args (@t277 @t278)) % 40.55/40.76 (step @p337 :rule refl :args (@t280)) % 40.55/40.76 (step @p338 :rule refl :args (@t282)) % 40.55/40.76 (step @p339 :rule nary_cong :premises (@p338 @p337 @p336) :args (@t283)) % 40.55/40.76 (step @p340 :rule refl :args (@t284)) % 40.55/40.76 (step @p341 :rule cong :premises (@p340 @p339) :args ((=> @t284 @t283))) % 40.55/40.76 (assume-push @p569 @t284) % 40.55/40.76 (step @p343 :rule instantiate :premises (@p335) :args (@t285)) % 40.55/40.76 (step-pop @p570 :rule scope :premises (@p343)) % 40.55/40.76 (step @p344 :rule process_scope :premises (@p570) :args (@t283)) % 40.55/40.76 (step @p346 :rule eq_resolve :premises (@p344 @p341)) % 40.55/40.76 (step @p347 :rule implies_elim :premises (@p346)) % 40.55/40.76 (step @p348 :rule chain_m_resolution :premises (@p347 @p335) :args (@t287 @t288 @t289)) % 40.55/40.76 (step @p349 :rule aci_norm :args ((= (or @t265 (or @t186 @t15)) (or @t265 @t186 @t15)))) % 40.55/40.76 (step @p350 :rule bool-impl-elim :args (@t5 @t15)) % 40.55/40.76 (step @p351 :rule refl :args (@t265)) % 40.55/40.76 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t265 @t238))) % 40.55/40.76 (step @p353 :rule trans :premises (@p352 @p349)) % 40.55/40.76 (step @p354 :rule bool-impl-elim :args (@t33 @t238)) % 40.55/40.76 (step @p355 :rule trans :premises (@p354 @p353)) % 40.55/40.76 (step @p356 :rule cong :premises (@p355) :args (@t239)) % 40.55/40.76 (step @p357 :rule eq_resolve :premises (@p223 @p356)) % 40.55/40.76 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t276 @t273))) % 40.55/40.76 (step @p359 :rule bool-impl-elim :args (@t15 @t255)) % 40.55/40.76 (step @p360 :rule cong :premises (@p359) :args (@t256)) % 40.55/40.76 (step @p361 :rule cong :premises (@p360) :args (@t257)) % 40.55/40.76 (step @p362 :rule eq_resolve :premises (@p274 @p361)) % 40.55/40.76 (step @p363 :rule skolemize :premises (@p362)) % 40.55/40.76 (step @p364 :rule bool-double-not-elim :args (@t290)) % 40.55/40.76 (step @p365 :rule refl :args (@t293)) % 40.55/40.76 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or @t293 (not @t292)))) % 40.55/40.76 (step @p367 :rule cnf_or_neg :args (@t293 0)) % 40.55/40.76 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 40.55/40.76 (step @p369 :rule reordering :premises (@p368) :args ((or @t290 @t293))) % 40.55/40.76 (step @p370 :rule chain_m_resolution :premises (@p369 @p363) :args (@t290 @t294 @t295)) % 40.55/40.76 (step @p371 :rule true_intro :premises (@p370)) % 40.55/40.76 (step @p372 :rule bool-impl-elim :args (@t44 @t299)) % 40.55/40.76 (step @p373 :rule cong :premises (@p372) :args ((forall @t6 (=> @t44 @t299)))) % 40.55/40.76 (step @p374 :rule aci_norm :args ((= (or (or @t297 @t296) @t94) @t298))) % 40.55/40.76 (step @p375 :rule refl :args (@t94)) % 40.55/40.76 (step @p376 :rule bool-and-de-morgan :args (@t38 @t90 true)) % 40.55/40.76 (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or (not @t95) @t94))) % 40.55/40.76 (step @p378 :rule trans :premises (@p377 @p374)) % 40.55/40.76 (step @p379 :rule bool-impl-elim :args (@t95 @t94)) % 40.55/40.76 (step @p380 :rule trans :premises (@p379 @p378)) % 40.55/40.76 (step @p381 :rule cong :premises (@p380) :args (@t96)) % 40.55/40.76 (step @p382 :rule eq-symm :args (@t97 @t1)) % 40.55/40.76 (step @p383 :rule nary_cong :premises (@p382 @p381) :args (@t98)) % 40.55/40.76 (step @p384 :rule refl :args (@t100)) % 40.55/40.76 (step @p385 :rule cong :premises (@p384 @p383) :args (@t101)) % 40.55/40.76 (step @p386 :rule refl :args (@t44)) % 40.55/40.76 (step @p387 :rule cong :premises (@p386 @p385) :args (@t102)) % 40.55/40.76 (step @p388 :rule cong :premises (@p387) :args (@t103)) % 40.55/40.76 (step @p389 :rule trans :premises (@p388 @p373)) % 40.55/40.76 (step @p390 :rule eq_resolve :premises (@p34 @p389)) % 40.55/40.76 (step @p391 :rule bool-eq-true :args (@t305)) % 40.55/40.76 (step @p392 :rule eq-symm :args (true @t305)) % 40.55/40.76 (step @p393 :rule trans :premises (@p392 @p391)) % 40.55/40.76 (step @p394 :rule eq-symm :args (@t300 @t93)) % 40.55/40.76 (step @p395 :rule refl :args (@t301)) % 40.55/40.76 (step @p396 :rule refl :args (@t302)) % 40.55/40.76 (step @p397 :rule nary_cong :premises (@p396 @p395 @p394) :args (@t306)) % 40.55/40.76 (step @p398 :rule cong :premises (@p397) :args (@t307)) % 40.55/40.76 (step @p399 :rule refl :args (@t304)) % 40.55/40.76 (step @p400 :rule nary_cong :premises (@p399 @p398) :args (@t308)) % 40.55/40.76 (step @p401 :rule eq-refl :args (@t272)) % 40.55/40.76 (step @p402 :rule cong :premises (@p401 @p400) :args (@t309)) % 40.55/40.76 (step @p403 :rule trans :premises (@p402 @p393)) % 40.55/40.76 (step @p404 :rule refl :args (@t311)) % 40.55/40.76 (step @p405 :rule nary_cong :premises (@p404 @p403) :args (@t312)) % 40.55/40.76 (step @p406 :rule refl :args (@t313)) % 40.55/40.76 (step @p407 :rule cong :premises (@p406 @p405) :args ((=> @t313 @t312))) % 40.55/40.76 (assume-push @p571 @t313) % 40.55/40.76 (step @p409 :rule instantiate :premises (@p390) :args ((@list @t271 @t272))) % 40.55/40.76 (step-pop @p572 :rule scope :premises (@p409)) % 40.55/40.76 (step @p410 :rule process_scope :premises (@p572) :args (@t312)) % 40.55/40.76 (step @p412 :rule eq_resolve :premises (@p410 @p407)) % 40.55/40.76 (step @p413 :rule implies_elim :premises (@p412)) % 40.55/40.76 (step @p414 :rule chain_m_resolution :premises (@p413 @p390) :args (@t314 @t288 (@list @t313))) % 40.55/40.76 (step @p415 :rule instantiate :premises (@p78) :args ((@list @t271))) % 40.55/40.76 (step @p416 :rule cnf_or_pos :args (@t314)) % 40.55/40.76 (step @p417 :rule reordering :premises (@p416) :args ((or @t311 @t305 (not @t314)))) % 40.55/40.76 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p414) :args (@t305 @t315 (@list @t310 @t314))) % 40.55/40.76 (step @p419 :rule cnf_and_pos :args (@t305 0)) % 40.55/40.76 (step @p420 :rule reordering :premises (@p419) :args ((or @t304 @t316))) % 40.55/40.76 (step @p421 :rule chain_m_resolution :premises (@p420 @p418) :args (@t304 @t288 @t317)) % 40.55/40.76 (step @p422 :rule symm :premises (@p421)) % 40.55/40.76 (step @p423 :rule cong :premises (@p422) :args (@t318)) % 40.55/40.76 (step @p424 :rule trans :premises (@p423 @p371)) % 40.55/40.76 (step @p425 :rule true_elim :premises (@p424)) % 40.55/40.76 (step @p426 :rule bool-impl-elim :args (@t16 @t321)) % 40.55/40.76 (step @p427 :rule cong :premises (@p426) :args ((forall @t11 (=> @t16 @t321)))) % 40.55/40.76 (step @p428 :rule bool-double-not-elim :args (@t189)) % 40.55/40.76 (step @p429 :rule bool-double-not-elim :args (@t123)) % 40.55/40.76 (step @p430 :rule bool-double-not-elim :args (@t76)) % 40.55/40.76 (step @p431 :rule refl :args (@t319)) % 40.55/40.76 (step @p432 :rule refl :args (@t320)) % 40.55/40.76 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430 @p429 @p428) :args (@t325)) % 40.55/40.76 (step @p434 :rule aci_norm :args ((= (or @t320 (or @t319 (or @t324 (or @t323 @t322)))) @t325))) % 40.55/40.76 (step @p435 :rule trans :premises (@p434 @p433)) % 40.55/40.76 (step @p436 :rule bool-and-de-morgan :args (@t191 @t190 true)) % 40.55/40.76 (step @p437 :rule refl :args (@t324)) % 40.55/40.76 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t324 (not (and @t191 @t190))))) % 40.55/40.76 (step @p439 :rule bool-and-de-morgan :args (@t114 @t191 (and @t190))) % 40.55/40.76 (step @p440 :rule trans :premises (@p439 @p438)) % 40.55/40.76 (step @p441 :rule nary_cong :premises (@p431 @p440) :args ((or @t319 (not (and @t114 @t191 @t190))))) % 40.55/40.76 (step @p442 :rule bool-and-de-morgan :args (@t192 @t114 (and @t191 @t190))) % 40.55/40.76 (step @p443 :rule trans :premises (@p442 @p441)) % 40.55/40.76 (step @p444 :rule nary_cong :premises (@p432 @p443) :args ((or @t320 (not (and @t192 @t114 @t191 @t190))))) % 40.55/40.76 (step @p445 :rule bool-and-de-morgan :args (@t184 @t192 (and @t114 @t191 @t190))) % 40.55/40.76 (step @p446 :rule trans :premises (@p445 @p444)) % 40.55/40.76 (step @p447 :rule trans :premises (@p446 @p435)) % 40.55/40.76 (step @p448 :rule cong :premises (@p447) :args (@t193)) % 40.55/40.76 (step @p449 :rule refl :args (@t72)) % 40.55/40.76 (step @p450 :rule cong :premises (@p449 @p448) :args (@t194)) % 40.55/40.76 (step @p451 :rule refl :args (@t16)) % 40.55/40.76 (step @p452 :rule cong :premises (@p451 @p450) :args (@t195)) % 40.55/40.76 (step @p453 :rule cong :premises (@p452) :args (@t196)) % 40.55/40.76 (step @p454 :rule trans :premises (@p453 @p427)) % 40.55/40.76 (step @p455 :rule eq_resolve :premises (@p146 @p454)) % 40.55/40.76 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t272))) % 40.55/40.76 (step @p457 :rule cnf_or_pos :args (@t327)) % 40.55/40.76 (step @p458 :rule reordering :premises (@p457) :args ((or @t311 @t326 (not @t327)))) % 40.55/40.76 (step @p459 :rule chain_m_resolution :premises (@p458 @p415 @p456) :args (@t326 @t315 (@list @t310 @t327))) % 40.55/40.76 (step @p460 :rule cnf_or_neg :args (@t293 1)) % 40.55/40.76 (step @p461 :rule chain_m_resolution :premises (@p460 @p363) :args ((not @t291) @t294 @t295)) % 40.55/40.76 (step @p462 :rule cnf_equiv_pos2 :args (@t326)) % 40.55/40.76 (step @p463 :rule reordering :premises (@p462) :args ((or @t291 @t328 (not @t326)))) % 40.55/40.76 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p459) :args (@t328 @t329 (@list @t291 @t326))) % 40.55/40.76 (step @p465 :rule skolemize :premises (@p464)) % 40.55/40.76 (step @p466 :rule bool-double-not-elim :args (@t330)) % 40.55/40.76 (step @p467 :rule refl :args (@t336)) % 40.55/40.76 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t336 (not @t333)))) % 40.55/40.76 (step @p469 :rule cnf_or_neg :args (@t336 1)) % 40.55/40.76 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 40.55/40.76 (step @p471 :rule reordering :premises (@p470) :args ((or @t330 @t336))) % 40.55/40.76 (step @p472 :rule chain_m_resolution :premises (@p471 @p465) :args (@t330 @t294 @t337)) % 40.55/40.76 (step @p473 :rule cnf_or_pos :args (@t339)) % 40.55/40.76 (step @p474 :rule reordering :premises (@p473) :args ((or @t333 @t338 @t281 (not @t339)))) % 40.55/40.76 (step @p475 :rule chain_m_resolution :premises (@p474 @p472 @p425 @p358) :args (@t281 @t340 (@list @t330 @t318 @t339))) % 40.55/40.76 (step @p476 :rule instantiate :premises (@p357) :args ((@list @t275 @t273))) % 40.55/40.76 (step @p477 :rule bool-double-not-elim :args (@t334)) % 40.55/40.76 (step @p478 :rule nary_cong :premises (@p467 @p477) :args ((or @t336 (not @t335)))) % 40.55/40.76 (step @p479 :rule cnf_or_neg :args (@t336 0)) % 40.55/40.76 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 40.55/40.76 (step @p481 :rule reordering :premises (@p480) :args ((or @t334 @t336))) % 40.55/40.76 (step @p482 :rule chain_m_resolution :premises (@p481 @p465) :args (@t334 @t294 @t337)) % 40.55/40.76 (step @p483 :rule cnf_or_pos :args (@t341)) % 40.55/40.76 (step @p484 :rule reordering :premises (@p483) :args ((or @t335 @t338 @t279 (not @t341)))) % 40.55/40.76 (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p425 @p476) :args (@t279 @t340 (@list @t334 @t318 @t341))) % 40.55/40.76 (step @p486 :rule cnf_or_pos :args (@t287)) % 40.55/40.76 (step @p487 :rule reordering :premises (@p486) :args ((or @t280 @t282 @t286 (not @t287)))) % 40.55/40.76 (step @p488 :rule chain_m_resolution :premises (@p487 @p485 @p475 @p348) :args (@t286 @t340 (@list @t279 @t281 @t287))) % 40.55/40.76 (step @p489 :rule cnf_and_pos :args (@t305 1)) % 40.55/40.76 (step @p490 :rule reordering :premises (@p489) :args ((or @t303 @t316))) % 40.55/40.76 (step @p491 :rule chain_m_resolution :premises (@p490 @p418) :args (@t303 @t288 @t317)) % 40.55/40.76 (step @p492 :rule eq-symm :args (@t278 @t331)) % 40.55/40.76 (step @p493 :rule refl :args (@t343)) % 40.55/40.76 (step @p494 :rule refl :args (@t345)) % 40.55/40.76 (step @p495 :rule nary_cong :premises (@p494 @p493 @p492) :args (@t346)) % 40.55/40.76 (step @p496 :rule refl :args (@t303)) % 40.55/40.76 (step @p497 :rule cong :premises (@p496 @p495) :args ((=> @t303 @t346))) % 40.55/40.76 (assume-push @p573 @t303) % 40.55/40.76 (step @p499 :rule instantiate :premises (@p491) :args (@t285)) % 40.55/40.76 (step-pop @p574 :rule scope :premises (@p499)) % 40.55/40.76 (step @p500 :rule process_scope :premises (@p574) :args (@t346)) % 40.55/40.76 (step @p502 :rule eq_resolve :premises (@p500 @p497)) % 40.55/40.76 (step @p503 :rule implies_elim :premises (@p502)) % 40.55/40.76 (step @p504 :rule chain_m_resolution :premises (@p503 @p491) :args (@t348 @t288 @t349)) % 40.55/40.76 (step @p505 :rule true_intro :premises (@p472)) % 40.55/40.76 (step @p506 :rule refl :args (@t276)) % 40.55/40.76 (step @p507 :rule cong :premises (@p506 @p421) :args (@t344)) % 40.55/40.76 (step @p508 :rule trans :premises (@p507 @p505)) % 40.55/40.76 (step @p509 :rule true_elim :premises (@p508)) % 40.55/40.76 (step @p510 :rule true_intro :premises (@p482)) % 40.55/40.76 (step @p511 :rule refl :args (@t275)) % 40.55/40.76 (step @p512 :rule cong :premises (@p511 @p421) :args (@t342)) % 40.55/40.76 (step @p513 :rule trans :premises (@p512 @p510)) % 40.55/40.76 (step @p514 :rule true_elim :premises (@p513)) % 40.55/40.76 (step @p515 :rule cnf_or_pos :args (@t348)) % 40.55/40.76 (step @p516 :rule reordering :premises (@p515) :args ((or @t343 @t345 @t347 (not @t348)))) % 40.55/40.76 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p509 @p504) :args (@t347 @t340 (@list @t342 @t344 @t348))) % 40.55/40.76 (step @p518 :rule cnf_or_neg :args (@t336 4)) % 40.55/40.76 (step @p519 :rule chain_m_resolution :premises (@p518 @p465) :args ((not @t331) @t294 @t337)) % 40.55/40.76 (step @p520 :rule cnf_equiv_pos2 :args (@t347)) % 40.55/40.76 (step @p521 :rule reordering :premises (@p520) :args ((or @t331 @t350 (not @t347)))) % 40.55/40.76 (step @p522 :rule chain_m_resolution :premises (@p521 @p519 @p517) :args (@t350 @t329 (@list @t331 @t347))) % 40.55/40.76 (step @p523 :rule cnf_equiv_pos2 :args (@t286)) % 40.55/40.76 (step @p524 :rule reordering :premises (@p523) :args ((or @t278 @t351 (not @t286)))) % 40.55/40.76 (step @p525 :rule chain_m_resolution :premises (@p524 @p522 @p488) :args (@t351 @t329 (@list @t278 @t286))) % 40.55/40.76 (step @p526 :rule eq-symm :args (@t352 @t353)) % 40.55/40.76 (step @p527 :rule nary_cong :premises (@p337 @p338 @p526) :args (@t354)) % 40.55/40.76 (step @p528 :rule cong :premises (@p340 @p527) :args ((=> @t284 @t354))) % 40.55/40.76 (assume-push @p575 @t284) % 40.55/40.76 (step @p530 :rule instantiate :premises (@p335) :args (@t355)) % 40.55/40.76 (step-pop @p576 :rule scope :premises (@p530)) % 40.55/40.76 (step @p531 :rule process_scope :premises (@p576) :args (@t354)) % 40.55/40.76 (step @p533 :rule eq_resolve :premises (@p531 @p528)) % 40.55/40.76 (step @p534 :rule implies_elim :premises (@p533)) % 40.55/40.76 (step @p535 :rule chain_m_resolution :premises (@p534 @p335) :args (@t357 @t288 @t289)) % 40.55/40.76 (step @p536 :rule cnf_or_pos :args (@t357)) % 40.55/40.76 (step @p537 :rule reordering :premises (@p536) :args ((or @t280 @t282 @t356 (not @t357)))) % 40.55/40.76 (step @p538 :rule chain_m_resolution :premises (@p537 @p485 @p475 @p535) :args (@t356 @t340 (@list @t279 @t281 @t357))) % 40.55/40.76 (step @p539 :rule eq-symm :args (@t353 @t332)) % 40.55/40.76 (step @p540 :rule nary_cong :premises (@p493 @p494 @p539) :args (@t358)) % 40.55/40.76 (step @p541 :rule cong :premises (@p496 @p540) :args ((=> @t303 @t358))) % 40.55/40.76 (assume-push @p577 @t303) % 40.55/40.76 (step @p543 :rule instantiate :premises (@p491) :args (@t355)) % 40.55/40.76 (step-pop @p578 :rule scope :premises (@p543)) % 40.55/40.76 (step @p544 :rule process_scope :premises (@p578) :args (@t358)) % 40.55/40.76 (step @p546 :rule eq_resolve :premises (@p544 @p541)) % 40.55/40.76 (step @p547 :rule implies_elim :premises (@p546)) % 40.55/40.76 (step @p548 :rule chain_m_resolution :premises (@p547 @p491) :args (@t360 @t288 @t349)) % 40.55/40.76 (step @p549 :rule cnf_or_pos :args (@t360)) % 40.55/40.76 (step @p550 :rule reordering :premises (@p549) :args ((or @t343 @t345 @t359 (not @t360)))) % 40.55/40.76 (step @p551 :rule chain_m_resolution :premises (@p550 @p514 @p509 @p548) :args (@t359 @t340 (@list @t342 @t344 @t360))) % 40.55/40.76 (step @p552 :rule cnf_or_neg :args (@t336 3)) % 40.55/40.76 (step @p553 :rule chain_m_resolution :premises (@p552 @p465) :args ((not @t332) @t294 @t337)) % 40.55/40.76 (step @p554 :rule cnf_equiv_pos2 :args (@t359)) % 40.55/40.76 (step @p555 :rule reordering :premises (@p554) :args ((or @t332 @t361 (not @t359)))) % 40.55/40.76 (step @p556 :rule chain_m_resolution :premises (@p555 @p553 @p551) :args (@t361 @t329 (@list @t332 @t359))) % 40.55/40.76 (step @p557 :rule cnf_equiv_pos2 :args (@t356)) % 40.55/40.77 (step @p558 :rule reordering :premises (@p557) :args ((or @t353 @t362 (not @t356)))) % 40.55/40.77 (step @p559 :rule chain_m_resolution :premises (@p558 @p556 @p538) :args (@t362 @t329 (@list @t353 @t356))) % 40.55/40.77 (step @p560 :rule cnf_or_pos :args (@t363)) % 40.55/40.77 (step @p561 :rule reordering :premises (@p560) :args ((or @t280 @t282 @t352 @t277 @t364))) % 40.55/40.77 (step @p562 :rule chain_m_resolution :premises (@p561 @p485 @p475 @p559 @p525) :args (@t364 (@list false false true true) (@list @t279 @t281 @t352 @t277))) % 40.55/40.77 (assume-push @p579 @t365) % 40.55/40.77 (step @p564 :rule instantiate :premises (@p327) :args (@t355)) % 40.55/40.77 (step-pop @p580 :rule scope :premises (@p564)) % 40.55/40.77 (step @p565 :rule process_scope :premises (@p580) :args (@t363)) % 40.55/40.77 (step @p567 :rule implies_elim :premises (@p565)) % 40.55/40.77 (step @p568 false :rule chain_m_resolution :premises (@p567 @p562 @p327) :args (false @t329 (@list @t363 @t365))) % 40.55/40.77 ) % 40.55/40.77 % SZS output end Proof % 40.55/40.77 % cvc5 exiting %------------------------------------------------------------------------------